CN108052705A - Based on the equivalent transformer electromagnetic conversion method and apparatus of Current Decomposition and winding - Google Patents

Based on the equivalent transformer electromagnetic conversion method and apparatus of Current Decomposition and winding Download PDF

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CN108052705A
CN108052705A CN201711202855.2A CN201711202855A CN108052705A CN 108052705 A CN108052705 A CN 108052705A CN 201711202855 A CN201711202855 A CN 201711202855A CN 108052705 A CN108052705 A CN 108052705A
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phase
transformer
winding
stem
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CN108052705B (en
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张也
王冬青
曹楠
刘振富
陈翔宇
郭文明
李广
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State Grid Corp of China SGCC
NARI Group Corp
China EPRI Electric Power Engineering Co Ltd
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State Grid Corp of China SGCC
NARI Group Corp
China EPRI Electric Power Engineering Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/30—Circuit design
    • G06F30/36—Circuit design at the analogue level
    • G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F27/00—Details of transformers or inductances, in general
    • H01F27/28—Coils; Windings; Conductive connections
    • H01F27/2823—Wires
    • H01F27/2828—Construction of conductive connections, of leads

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  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
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Abstract

The present invention provides a kind of transformer electromagnetic conversion method and apparatus equivalent based on Current Decomposition and winding, first build the current equation and electromotive force equation of transformer, then the equivalent circuit of transformer is determined according to the current equation of transformer and electromotive force equation, the final conversion for realizing transformer from magnetic circuit model to equivalent circuit.Technical solution provided by the invention combines the advantages of both UMEC methods and principle of duality method, it is can obtaining with magnetic circuit model Zhong Ge magnetic circuits branch corresponding single-phase two-winding transformer/three-phase three-limb transformer equivalent circuit, the specific topological structure of equivalent circuit can be intuitively expressed, there is very strong ornamental；And the calculating such as the relevant magnetic conductance of single-phase two-winding transformer, magnetic conductivity, the particularly relevant magnetic conductance of three-phase three-limb transformer, the calculating of magnetic conductivity are fairly simple in technical solution provided by the invention, calculation amount is smaller, easily operated.

Description

Based on the equivalent transformer electromagnetic conversion method and apparatus of Current Decomposition and winding
Technical field
The present invention relates to transformer electromagnetic simulation technique fields, and in particular to a kind of equivalent based on Current Decomposition and winding Transformer electromagnetic conversion method and apparatus.
Background technology
Since the iron core of transformer is made of permeability magnetic material silicon steel sheet, so it is with hysteresis and saturability.It is analyzing Transformer station high-voltage side bus in magnetization curve saturation section problem, it is necessary to establish the circuit model and magnetic circuit model of meter and core sataration, and Circuit model and magnetic circuit model are emulated.When establishing circuit model, what iron core cannot be merely is encouraged with linear inductance is equivalent Magnetic branch, because transformer, in magnetic flux saturation, port voltage and exciting current are in non-linear relation, equivalent obtained excitation branch Road inductance also will be in non-linear.Establishing the circuit model of energy accurate response magnetic structure at this time just seems particularly important.
The modeling method on transformer model has two major classes at present：1) by analytic method build circuit model, 2) use Finite element method builds transformer model.The meter that finite element method carries out electromagnetic field and respectively measure by building the physical model of transformer It calculates, so while the structure and magnetization characteristic of accurate analogue transformer, the calculation amount of finite element method is very big, and during calculating Between it is very long, the memory of occupancy is very big.When only carrying out the calculating of electromagnetic field, analytic method is substantially more advantageous than FInite Element, because Analytic method is unrelated with physical arrangement, need to only carry out the calculating of each electromagnetism magnitude relation, and involved variable is less, so with parsing Method establish electromagnetic model emulated it is more excellent.
The primary focus for establishing the electromagnetic model based on analytic method is conversion of the magnetic circuit to circuit, closes in the prior art There are UMEC (Unified Magnetic Equivalent Circuit) methods and and the principle of duality in the conversion of magnetic circuit to circuit Method.Wherein UMEC methods carry out algebraic manipulation by magnetic circuit relation by magnetic circuit model and obtain final electrodynamic capacity and mutual inductance, The circuit model that final electrodynamic capacity and mutual inductance are formed is not corresponding specific with magnetic circuit model Zhong Ge magnetic circuits branch Circuit structure, so UMEC methods cannot intuitively express circuit inner structure, and the generation in the calculating of multiphase multicore pole transformer Numerical expression is more complicated, computationally intensive.
The content of the invention
In order to overcome the above-mentioned deficiencies of the prior art, the present invention provides a kind of transformation equivalent based on Current Decomposition and winding Device electromagnetic conversion method and apparatus first determine the current equation of single-phase two-winding transformer/three-phase three-limb transformer and electronic Then potential equation determines list according to the current equation of single-phase two-winding transformer/three-phase three-limb transformer and electromotive force equation The equivalent circuit of phase two-winding transformer/three-phase three-limb transformer finally realizes single-phase two-winding transformer/three-phase three-limb Conversion of the transformer from magnetic circuit model to equivalent circuit.
In order to realize foregoing invention purpose, the present invention adopts the following technical scheme that：
The present invention provides a kind of transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, including：
Build the current equation and electromotive force equation of single-phase two-winding transformer；
The equivalence of single-phase two-winding transformer is determined according to the current equation of single-phase two-winding transformer and electromotive force equation Circuit；
The equivalent circuit of the single-phase two-winding transformer includes inductance L1, inductance L2, inductance L3, inductance L4With inductance L5； The inductance L2With inductance L5Series connection forms L2-L5Branch, the L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch The road, (L2-L5)//L3Branch and inductance L4After series connection again with inductance L1It is in parallel.
The current equation such as following formula of the single-phase two-winding transformer：
Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents in single-phase two-winding transformer The magnetic flux of second stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4It represents in single-phase two-winding transformer The leakage magnetic flux of one stem, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1Represent single-phase two windings transformation The equivalent winding current of first stem magnetic flux, i in device2Represent the winding that the second stem magnetic flux is equivalent in single-phase two-winding transformer Electric current, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents in single-phase two-winding transformer The equivalent winding current of one stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；Meet p1=p2=pw, p3=py, p4=p5=pf, pwRepresent single-phase The magnetic conductance of stem magnetic flux, p in two-winding transformeryRepresent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, pfRepresent single-phase The magnetic conductance of leakage magnetic flux, p in two-winding transformer1Represent the magnetic conductance of the first stem magnetic flux in single-phase two-winding transformer, p2Represent single The magnetic conductance of second stem magnetic flux, p in phase two-winding transformer3Represent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, p4Table Show the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent the second stem leakage field in single-phase two-winding transformer Logical magnetic conductance, Wherein μ1、S1And l1Represent the first core in single-phase two-winding transformer Magnetic conductivity, sectional area and the equivalent magnetic circuit length of column, μ2、S2And l2The second stem in single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and equivalent magnetic circuit length, μ3、S3And l3The magnetic conductivity of iron yoke in single-phase two-winding transformer is represented respectively, is cut Area and equivalent magnetic circuit length, μ1、μ2、μ3It is determined by JA hysteresis models；XdRepresent single-phase two winding Transformer short-circuit reactance is in the reduction value of first side winding, ω expression electric system angular frequencies.
The electromotive force equation such as following formula of the single-phase two-winding transformer：
Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2Represent single-phase two windings transformation The electromotive force of second stem magnetic flux, e in device3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two The electromotive force of first stem leakage magnetic flux, e in winding transformer5Represent the electricity of the second stem leakage magnetic flux in single-phase two-winding transformer Kinetic potential；And meetφ1=φ4+φ3, φ3=φ2+φ5,Represent the change rate of the first stem magnetic flux in single-phase two-winding transformer,Represent single-phase two winding The change rate of second stem magnetic flux in transformer,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,Table Show the change rate of the first stem leakage magnetic flux in single-phase two-winding transformer,Represent the second stem in single-phase two-winding transformer The change rate of leakage magnetic flux.
Inductance L in the equivalent circuit of the single-phase two-winding transformer1, inductance L2, inductance L3, inductance L4, inductance L5Respectively It is calculated as follows：
L1=N1p1N1
L2=N1p2N1
L3=N1p3N1
L4=N1p4N1
L5=N1p5N1。
The present invention also provides a kind of transformer electromagnetic switching device equivalent based on Current Decomposition and winding, including：
First structure module, for building the current equation of single-phase two-winding transformer and electromotive force equation；
First determining module determines single-phase two for the current equation according to single-phase two-winding transformer and electromotive force equation The equivalent circuit of winding transformer；
The equivalent circuit of the single-phase two-winding transformer includes inductance L1, inductance L2, inductance L3, inductance L4With inductance L5； The inductance L2With inductance L5Series connection forms L2-L5Branch, the L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch The road, (L2-L5)//L3Branch and inductance L4After series connection again with inductance L1It is in parallel.
The current equation of the single-phase two-winding transformer of the first structure module construction such as following formula：
Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents in single-phase two-winding transformer The magnetic flux of second stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4It represents in single-phase two-winding transformer The leakage magnetic flux of one stem, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1Represent single-phase two windings transformation The equivalent winding current of first stem magnetic flux, i in device2Represent the winding that the second stem magnetic flux is equivalent in single-phase two-winding transformer Electric current, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents in single-phase two-winding transformer The equivalent winding current of one stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；Meet p1=p2=pw, p3=py, p4=p5=pf, pwRepresent single-phase The magnetic conductance of stem magnetic flux, p in two-winding transformeryRepresent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, pfRepresent single-phase The magnetic conductance of leakage magnetic flux, p in two-winding transformer1Represent the magnetic conductance of the first stem magnetic flux in single-phase two-winding transformer, p2Represent single The magnetic conductance of second stem magnetic flux, p in phase two-winding transformer3Represent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, p4Table Show the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent the second stem leakage field in single-phase two-winding transformer Logical magnetic conductance, Wherein μ1、S1And l1Represent the first core in single-phase two-winding transformer Magnetic conductivity, sectional area and the equivalent magnetic circuit length of column, μ2、S2And l2The second stem in single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and equivalent magnetic circuit length, μ3、S3And l3The magnetic conductivity of iron yoke in single-phase two-winding transformer is represented respectively, is cut Area and equivalent magnetic circuit length, μ1、μ2、μ3It is determined by JA hysteresis models；XdRepresent that single-phase two winding becomes Depressor short-circuit reactance is in the reduction value of first side winding, ω expression electric system angular frequencies.
The electromotive force equation of the single-phase two-winding transformer of the first structure module construction such as following formula：
Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2Represent single-phase two windings transformation The electromotive force of second stem magnetic flux, e in device3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two The electromotive force of first stem leakage magnetic flux, e in winding transformer5Represent the electricity of the second stem leakage magnetic flux in single-phase two-winding transformer Kinetic potential；And meetφ1=φ4+φ3, φ3=φ2+φ5,Represent the change rate of the first stem magnetic flux in single-phase two-winding transformer,Represent single-phase two winding The change rate of second stem magnetic flux in transformer,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,Table Show the change rate of the first stem leakage magnetic flux in single-phase two-winding transformer,Represent the second stem in single-phase two-winding transformer The change rate of leakage magnetic flux.
First determining module determines inductance L in the equivalent circuit such as the single-phase two-winding transformer of following formula1, inductance L2、 Inductance L3, inductance L4, inductance L5：
L1=N1p1N1
L2=N1p2N1
L3=N1p3N1
L4=N1p4N1
L5=N1p5N1。
The present invention also provides a kind of transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, including：
Build the current equation and electromotive force equation of three-phase three-limb transformer；
The equivalence of three-phase three-limb transformer is determined according to the current equation of three-phase three-limb transformer and electromotive force equation Circuit；
The equivalent circuit of the three-phase three-limb transformer includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10； The inductance L8And L10Parallel connection forms L8//L10Branch, the L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch The road, (L8//L10)-L7Branch and inductance L6And L9It is in parallel.
The current equation such as following formula of the three-phase three-limb transformer：
Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase The number of turn of three pillar type transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7It represents The magnetic flux of second stem, φ in three-phase three-limb transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9It represents In three-phase three-limb transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents in three-phase three-limb transformer The magnetic flux of iron yoke between second stem and the 3rd stem；
i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent that three-phase three-limb becomes The equivalent winding current of second stem magnetic flux, i in depressor8Represent the equivalent winding of three-phase three-limb the 3rd stem magnetic flux of transformer Electric current, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10 The equivalent winding current of iron yoke magnetic flux between second stem and the 3rd stem in expression three-phase three-limb transformer；
p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7It represents second in three-phase three-limb transformer The magnetic conductance of stem magnetic flux, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent three-phase three-limb transformation In device between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent the second stem and the in three-phase three-limb transformer The magnetic conductance of iron yoke magnetic flux between three stems, Wherein μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer are represented respectively, μ7、S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8 And l8Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9 Magnetic conductivity, sectional area and the equivalent magnetic of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are represented respectively Road length, μ10、S10And l10The magnetic conductance of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer is represented respectively Rate, sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
i6Represent φ6The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8Table Show φ8The equivalent number of turn is N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10It is equivalent The number of turn be N11Winding electric current, and meet
The electromotive force equation such as following formula of the three-phase three-limb transformer：
Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7Represent three-phase three-limb transformer In the second stem magnetic flux electromotive force, e8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents the in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between two stems and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
Inductance L in the equivalent circuit of the three-phase three-limb transformer6, inductance L7, inductance L8, inductance L9, inductance L10Respectively It is calculated as follows：
L6=N11p6N11
L7=N11p7N11
L8=N11p8N11
L9=N11p9N11
L10=N11p10N11。
The present invention also provides a kind of transformer electromagnetic switching device equivalent based on Current Decomposition and winding, including：
Second structure module, for building the current equation of three-phase three-limb transformer and electromotive force equation；
Second determining module determines three-phase three for the current equation according to three-phase three-limb transformer and electromotive force equation The equivalent circuit of column-type transformer；
The equivalent circuit of the three-phase three-limb transformer includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10； The inductance L8And L10Parallel connection forms L8//L10Branch, the L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch The road, (L8//L10)-L7Branch and inductance L6And L9It is in parallel.
The current equation of the three-phase three-limb transformer of the second structure module construction such as following formula：
Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase The number of turn of three pillar type transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7It represents The magnetic flux of second stem, φ in three-phase three-limb transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9It represents In three-phase three-limb transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents in three-phase three-limb transformer The magnetic flux of iron yoke between second stem and the 3rd stem；
i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent that three-phase three-limb becomes The equivalent winding current of second stem magnetic flux, i in depressor8Represent the equivalent winding of three-phase three-limb the 3rd stem magnetic flux of transformer Electric current, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10 The equivalent winding current of iron yoke magnetic flux between second stem and the 3rd stem in expression three-phase three-limb transformer；
p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7It represents second in three-phase three-limb transformer The magnetic conductance of stem magnetic flux, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent three-phase three-limb transformation In device between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent the second stem and the in three-phase three-limb transformer The magnetic conductance of iron yoke magnetic flux between three stems, Wherein μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer are represented respectively, μ7、S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8 And l8Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9 Magnetic conductivity, sectional area and the equivalent magnetic of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are represented respectively Road length, μ10、S10And l10The magnetic conductance of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer is represented respectively Rate, sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
i6Represent φ6The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8Table Show φ8The equivalent number of turn is N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10It is equivalent The number of turn be N11Winding electric current, and meet
The electromotive force equation of the three-phase three-limb transformer of the second structure module construction such as following formula：
Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7Represent three-phase three-limb transformer In the second stem magnetic flux electromotive force, e8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents the in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between two stems and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
Second determining module determines inductance L in the equivalent circuit such as the three-phase three-limb transformer of following formula6, inductance L7、 Inductance L8, inductance L9, inductance L10：
L6=N11p6N11
L7=N11p7N11
L8=N11p8N11
L9=N11p9N11
L10=N11p10N11。
Compared with the immediate prior art, technical solution provided by the invention has the advantages that：
In the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding provided by the invention, single-phase two are first built The current equation and electromotive force equation of winding transformer/three-phase three-limb transformer, then according to single-phase two-winding transformer/tri- The current equation and electromotive force equation of phase three pillar type transformer determine single-phase two-winding transformer/three-phase three-limb transformer etc. It is worth circuit, finally realizes single-phase two-winding transformer/conversion of the three-phase three-limb transformer from magnetic circuit model to equivalent circuit；
Technical solution provided by the invention combines the advantages of both UMEC methods and principle of duality method, can obtain and magnetic The equivalent circuit of the corresponding single-phase two-winding transformer/three-phase three-limb transformer of road model Zhong Ge magnetic circuits branch, Neng Gouzhi The specific topological structure of the expression equivalent circuit of sight, has very strong ornamental；
The calculating such as the relevant magnetic conductance of single-phase two-winding transformer, magnetic conductivity in technical solution provided by the invention, particularly The relevant magnetic conductance of three-phase three-limb transformer, the calculating of magnetic conductivity are fairly simple, and calculation amount is smaller, easily operated；
In technical solution provided by the invention in the equivalent circuit of single-phase two-winding transformer/three-phase three-limb transformer Nonlinear inductance can be obtained by the interface programming of PSCAD and formula translation, then according to the topological structure of equivalent circuit And into the Nonlinear Simulation of line transformer.
Description of the drawings
Fig. 1 is single-phase two-winding transformer electromagnetic conversion method flow diagram in the embodiment of the present invention；
Fig. 2 is the flux structure figure of single-phase two-winding transformer in the embodiment of the present invention；
Fig. 3 is the magnetic Equivalent Circuit figure of single-phase two-winding transformer in the embodiment of the present invention；
Fig. 4 is the equivalent circuit topological diagram of single-phase two-winding transformer in the embodiment of the present invention；
Fig. 5 is three stem transformer electromagnetic conversion method flow diagram of three-phase in the embodiment of the present invention；
Fig. 6 is the flux structure figure of three stem transformer of three-phase in the embodiment of the present invention；
Fig. 7 is the equivalent circuit topological diagram of three stem transformer of three-phase in the embodiment of the present invention.
Specific embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
Embodiment 1
The embodiment of the present invention 1 provides a kind of transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, should Method is directed to single-phase two-winding transformer, the single-phase two-winding transformer electromagnetic conversion method particular flow sheet as shown in Figure 1, Detailed process is as follows：
S101：Build the current equation and electromotive force equation of single-phase two-winding transformer；
S102：According to the current equation of the S101 single-phase two-winding transformers determined and electromotive force equation determine single-phase two around The equivalent circuit of group transformer；
The equivalent circuit topological diagram of above-mentioned single-phase two-winding transformer as shown in figure 4, single-phase two-winding transformer etc. Being worth circuit includes inductance L1, inductance L2, inductance L3, inductance L4With inductance L5；Wherein inductance L2With inductance L5Series connection forms L2-L5Branch Road, L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch, (L2-L5)//L3Branch and inductance L4After series connection again with electricity Feel L1It is in parallel.
The flux structure figure of single-phase two-winding transformer is as shown in Fig. 2, wherein φ1It represents in single-phase two-winding transformer The magnetic flux of one stem, φ2Represent the magnetic flux of the second stem in single-phase two-winding transformer, φ3It represents in single-phase two-winding transformer The magnetic flux of iron yoke, φ4Represent the leakage magnetic flux of the first stem in single-phase two-winding transformer, φ5It represents in single-phase two-winding transformer The leakage magnetic flux of second stem, iARepresent the electric current of first side winding in single-phase two-winding transformer, iaRepresent single-phase two windings transformation The electric current of secondary side winding in device.The flux structure figure of single-phase two-winding transformer as shown in Figure 2 can obtain shown in Fig. 3 The magnetic Equivalent Circuit of single-phase two-winding transformer, magnetic flux branch and leakage magnetic flux branch are corresponding with Fig. 2 in Fig. 3, and magnetic flux, iron yoke and Leakage magnetic flux has a respective magnetic conductance, in Fig. 3, pwRepresent the magnetic conductance of stem magnetic flux in single-phase two-winding transformer, pyRepresent single-phase two The magnetic conductance of iron yoke magnetic flux, p in winding transformerfRepresent the magnetic conductance of leakage magnetic flux in single-phase two-winding transformer, N1Represent single-phase two around The number of turn of first side winding in group transformer.Then the current equation of the single-phase two-winding transformer built in above-mentioned S101 is as follows Formula：
Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents in single-phase two-winding transformer The magnetic flux of second stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4It represents in single-phase two-winding transformer The leakage magnetic flux of one stem, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1Represent single-phase two windings transformation The equivalent winding current of first stem magnetic flux, i in device2Represent the winding that the second stem magnetic flux is equivalent in single-phase two-winding transformer Electric current, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents in single-phase two-winding transformer The equivalent winding current of one stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；It willIn iA+ia' resolve into i1、i2、i3The sum of three electric currents, and willMiddle iAIt is decomposed into i1、i4The sum of, will alsoIn iA Resolve into i1、i3、i5The sum of three electric currents, this decomposition is equivalent to an iA+ia' and iACurrent value it is equivalent into electric current be i1、i2、 i3Multiple coils, electric current i1~i5Coil and φ1~φ5It is corresponding, iron yoke, the corresponding magnetic circuit branch of leakage magnetic flux is equivalent Into coil, Ampere circuit law becomes：i1~i5The magnetomotive force algebraical sum that multiple coils are formed is equal to each magnetic circuit on central circuits line SectionAlgebraical sum then p1=p2=pw, p3=py, p4= p5=pf, pwRepresent the magnetic conductance of stem magnetic flux in single-phase two-winding transformer, pyRepresent iron yoke magnetic flux in single-phase two-winding transformer Magnetic conductance, pfRepresent the magnetic conductance of leakage magnetic flux in single-phase two-winding transformer, p1Represent the first stem magnetic in single-phase two-winding transformer Logical magnetic conductance, p2Represent the magnetic conductance of the second stem magnetic flux in single-phase two-winding transformer, p3Represent iron in single-phase two-winding transformer The magnetic conductance of yoke flux, p4Represent the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent single-phase two windings transformation The magnetic conductance of second stem leakage magnetic flux in device, Wherein μ1、S1And l1Represent single-phase two around Magnetic conductivity, sectional area and the equivalent magnetic circuit length of first stem, μ in group transformer2、S2And l2Represent that single-phase two winding becomes respectively The magnetic conductivity of second stem, sectional area and equivalent magnetic circuit length, μ in depressor3、S3And l3Single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and the equivalent magnetic circuit length of middle iron yoke, μ1、μ2、μ3It is determined by the BH curve of electrical steel sheet material, it is logical JA hysteresis models are crossed to determine；XdRepresent single-phase two-winding transformer short-circuit reactance returning in first side winding Calculation value, ω represent electric system angular frequency.
In above-mentioned S101, the electromotive force equation such as following formula of the single-phase two-winding transformer of structure：
Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2Represent single-phase two windings transformation The electromotive force of second stem magnetic flux, e in device3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two The electromotive force of first stem leakage magnetic flux, e in winding transformer5Represent the electricity of the second stem leakage magnetic flux in single-phase two-winding transformer Kinetic potential；φ1~φ5It is equivalent by the number of turn be N1, electromotive force e1~e55 windings produced by, equivalent electromotive force and magnetic Logical relation isDue in Fig. 3 Share 2 nodes, the magnetic flux algebraical sum at two nodes is 0, so meeting φ1=φ4+φ3, φ3=φ2+φ5,It represents The change rate of first stem magnetic flux in single-phase two-winding transformer,Represent the second stem magnetic flux in single-phase two-winding transformer Change rate,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,It represents in single-phase two-winding transformer The change rate of first stem leakage magnetic flux,Represent the change rate of the second stem leakage magnetic flux in single-phase two-winding transformer.
ByWithUnderstand single-phase two winding in above-mentioned S102 Inductance L in the equivalent circuit of transformer1, inductance L2, inductance L3, inductance L4, inductance L5It is calculated as follows respectively：
L1=N1p1N1
L2=N1p2N1
L3=N1p3N1
L4=N1p4N1
L5=N1p5N1。
Inductance L in the equivalent circuit of above-mentioned single-phase two-winding transformer1, inductance L2, inductance L3It can be applied in PSCAD The programming of FORTRAN sentences is realized.
Implement below by calculating with the self-induction identical with unified magnetic circuit method UMEC and the mutual inductance verification present invention The correctness for the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding that example 1 provides：
The equivalent circuit for the single-phase two-winding transformer that attached drawing 4 is made of 5 inductance be converted by electrodynamic capacity and mutually Feel coefficient form such as the equivalent circuit of following formula：
Wherein, eAFor first side winding electromotive force in single-phase two-winding transformer, ea' it is that single-phase two-winding transformer is secondary Side winding converts the electromotive force to primary side, whereinAs only iADuring effect, the electricity of first side winding It presses as from iAThe voltage in equivalent inductance seen into can obtain the equivalent inductance L corresponding with this voltage such as following formula by derivationA：
Equivalent inductance LAFor the self-induction of first side winding, LwRepresent the self-induction of stem magnetic flux in single-phase two-winding transformer, LfRepresent the self-induction of leakage magnetic flux in single-phase two-winding transformer, LyRepresent iron yoke magnetic flux self-induction in single-phase two-winding transformer.
As only iaDuring ' effect, the electric current in first side winding is iy, the i such as following formula can be obtained by derivationy：
Voltage such as following formula as caused by mutual inductance in first side winding：
It can be obtained by deriving by ia' the electromotive force sensed in first side winding, with the corresponding secondary side of the electromotive force The mutual inductance M such as following formulas that winding generates in first side winding：
By comparing as can be seen that the self neutralizing frequency coefficient obtained by the method and the self-induction obtained by unified magnetic circuit UMEC are mutual Sense coefficient is identical, it can thus be appreciated that Current Decomposition method proposed in this paper was obtained with principle of duality method and unified magnetic circuit UMEC methods Conclusion is identical.
Since the method that the principle of duality is converted to magnetic circuit model circuit model is：Node in magnetic circuit is converted into equivalent electricity Mesh in road, the mesh in magnetic circuit are equivalent to the node in circuit.Namely the parallel relationship in magnetic circuit is converted into circuit Series relationship, the parallel relationship series relationship in magnetic circuit being converted into circuit.
By comparing it can be found that the magnetic that the Current Decomposition and winding equivalent method that are proposed by the embodiment of the present invention 1 obtain It is identical with the circuit model obtained by the principle of duality to convert equivalent circuit, thus demonstrates the base that the embodiment of the present invention 1 is provided In the correctness of the equivalent transformer electromagnetic conversion method of Current Decomposition and winding.
Based on same inventive concept, the embodiment of the present invention additionally provide based on Current Decomposition and winding it is equivalent single-phase two around Group transformer electromagnetic switching device, the principle that these equipment solve the problems, such as is with above-mentioned based on equivalent single-phase of Current Decomposition and winding Two-winding transformer electromagnetic switching device method is similar, the single-phase two-winding transformer electromagnetic conversion that the embodiment of the present invention 1 provides Device mainly includes the first structure module and the first determining module, introduces the function of 2 determining modules separately below：
First structure module therein is mainly used for building current equation and the electromotive force side of single-phase two-winding transformer Journey；
First determining module therein is mainly used for current equation and electromotive force equation according to single-phase two-winding transformer Determine the equivalent circuit of single-phase two-winding transformer；
The equivalent circuit of above-mentioned single-phase two-winding transformer includes inductance L1, inductance L2, inductance L3, inductance L4And inductance L5；Inductance L2With inductance L5Series connection forms L2-L5Branch, L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch, (L2- L5)//L3Branch and inductance L4After series connection again with inductance L1It is in parallel.
The current equation of the single-phase two-winding transformer of the first above-mentioned structure module construction such as following formula：
Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents in single-phase two-winding transformer The magnetic flux of second stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4It represents in single-phase two-winding transformer The leakage magnetic flux of one stem, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1Represent single-phase two windings transformation The equivalent winding current of first stem magnetic flux, i in device2Represent the winding that the second stem magnetic flux is equivalent in single-phase two-winding transformer Electric current, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents in single-phase two-winding transformer The equivalent winding current of one stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；Meet p1=p2=pw, p3=py, p4=p5=pf, pwRepresent single-phase The magnetic conductance of stem magnetic flux, p in two-winding transformeryRepresent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, pfRepresent single-phase The magnetic conductance of leakage magnetic flux, p in two-winding transformer1Represent the magnetic conductance of the first stem magnetic flux in single-phase two-winding transformer, p2Represent single The magnetic conductance of second stem magnetic flux, p in phase two-winding transformer3Represent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, p4Table Show the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent the second stem leakage field in single-phase two-winding transformer Logical magnetic conductance, Wherein μ1、S1And l1Represent the first core in single-phase two-winding transformer Magnetic conductivity, sectional area and the equivalent magnetic circuit length of column, μ2、S2And l2The second stem in single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and equivalent magnetic circuit length, μ3、S3And l3The magnetic conductivity of iron yoke in single-phase two-winding transformer is represented respectively, is cut Area and equivalent magnetic circuit length, μ1、μ2、μ3It is determined by JA hysteresis models；XdRepresent that single-phase two winding becomes Depressor short-circuit reactance is in the reduction value of first side winding, ω expression electric system angular frequencies.
The electromotive force equation of the single-phase two-winding transformer of the first above-mentioned structure module construction such as following formula：
Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2Represent single-phase two windings transformation The electromotive force of second stem magnetic flux, e in device3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two The electromotive force of first stem leakage magnetic flux, e in winding transformer5Represent the electricity of the second stem leakage magnetic flux in single-phase two-winding transformer Kinetic potential；And meetφ1=φ4+φ3, φ3=φ2+φ5,Represent the change rate of the first stem magnetic flux in single-phase two-winding transformer,Represent single-phase two winding The change rate of second stem magnetic flux in transformer,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,Table Show the change rate of the first stem leakage magnetic flux in single-phase two-winding transformer,Represent the second stem in single-phase two-winding transformer The change rate of leakage magnetic flux.
The first above-mentioned determining module determines inductance L in the equivalent circuit such as the single-phase two-winding transformer of following formula1, inductance L2, inductance L3, inductance L4, inductance L5：
L1=N1p1N1
L2=N1p2N1
L3=N1p3N1
L4=N1p4N1
L5=N1p5N1。
Embodiment 2
The embodiment of the present invention 2 provides a kind of transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, the party Method is directed to three-phase three-limb transformer, the three stem transformer electromagnetic conversion method of three-phase as shown in figure 5, detailed process such as Under：
S201：Build the current equation and electromotive force equation of three-phase three-limb transformer；
S202：The current equation and electromotive force equation of the three-phase three-limb transformer determined according to S201 determine three-phase three-column The equivalent circuit of formula transformer；
The equivalent circuit of three-phase three-limb transformer includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10；Inductance L8And L10Parallel connection forms L8//L10Branch, L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch, (L8//L10)-L7 Branch and inductance L6And L9It is in parallel.
The flux structure figure of three-phase three-limb transformer is as shown in fig. 6, wherein iAA、iBB、iCCRepresent three-phase three-limb transformation A, B, C phase current of device high-pressure side winding, φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7Represent three-phase The magnetic flux of second stem, φ in three pillar type transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents second in three-phase three-limb transformer The magnetic flux of iron yoke between stem and the 3rd stem.
In above-mentioned S201, according to the electricity for the three-phase three-limb transformer that the flux structure figure of three-phase three-limb transformer is built Flow equation such as following formula：
Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase The number of turn of three pillar type transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7It represents The magnetic flux of second stem, φ in three-phase three-limb transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9It represents In three-phase three-limb transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents in three-phase three-limb transformer The magnetic flux of iron yoke between second stem and the 3rd stem；
p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7It represents second in three-phase three-limb transformer The magnetic conductance of stem magnetic flux, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent three-phase three-limb transformation In device between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent the second stem and the in three-phase three-limb transformer The magnetic conductance of iron yoke magnetic flux between three stems, Wherein μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer are represented respectively, μ7、S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8 And l8Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9 Magnetic conductivity, sectional area and the equivalent magnetic of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are represented respectively Road length, μ10、S10And l10The magnetic conductance of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer is represented respectively Rate, sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent that three-phase three-limb becomes The equivalent winding current of second stem magnetic flux, i in depressor8Represent the equivalent winding of three-phase three-limb the 3rd stem magnetic flux of transformer Electric current, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10 Represent the equivalent winding current of iron yoke magnetic flux, i.e. i between the second stem and the 3rd stem in three-phase three-limb transformer6Represent φ6 The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8Represent φ8The equivalent number of turn For N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10The equivalent number of turn is N11 Winding electric current, and meet
In above-mentioned S201, according to the electricity for the three-phase three-limb transformer that the flux structure figure of three-phase three-limb transformer is built Kinetic potential equation such as following formula：
Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7Represent three-phase three-limb transformation The electromotive force of second stem magnetic flux, e in device8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three In phase three pillar type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents the in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between two stems and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
In above-mentioned S202, inductance L in the equivalent circuit of three-phase three-limb transformer6, inductance L7, inductance L8, inductance L9, electricity Feel L10It is calculated as follows respectively：
L6=N11p6N11
L7=N11p7N11
L8=N11p8N11
L9=N11p9N11
L10=N11p10N11。
Inductance L in the equivalent circuit of above-mentioned three-phase three-limb transformer6, inductance L7, inductance L8, inductance L9, inductance L10It can be It is realized in PSCAD using the programming of FORTRAN sentences.
Based on same inventive concept, the embodiment of the present invention 2 is additionally provided based on the equivalent three-phase three of Current Decomposition and winding Column-type transformer electromagnetic switching device, principle that these equipment solve the problems, such as with it is above-mentioned based on Current Decomposition and winding it is equivalent three Phase three pillar type transformer electromagnetic switching device method is similar, and the three-phase three-limb transformer electromagnetism that the embodiment of the present invention 2 provides turns Changing device mainly includes the second structure module and the second determining module, introduces the function of 2 determining modules separately below：
Second structure module therein, main structure determine current equation and the electromotive force side of three-phase three-limb transformer Journey；
Second determining module therein is mainly used for current equation and electromotive force equation according to three-phase three-limb transformer Determine the equivalent circuit of three-phase three-limb transformer；
The equivalent circuit topological diagram of above-mentioned three-phase three-limb transformer is as shown in fig. 7, the three-phase three-limb transformer Equivalent circuit includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10；Inductance L8And L10Parallel connection forms L8//L10Branch, L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch, (L8//L10)-L7Branch and inductance L6And L9It is in parallel.
The current equation such as following formula of the three-phase three-limb transformer of the second above-mentioned structure module construction：
Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase The number of turn of three pillar type transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7It represents The magnetic flux of second stem, φ in three-phase three-limb transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9It represents In three-phase three-limb transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents in three-phase three-limb transformer The magnetic flux of iron yoke between second stem and the 3rd stem；
p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7It represents the in three-phase three-limb transformer The magnetic conductance of two stem magnetic fluxs, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent that three-phase three-limb becomes In depressor between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent three-phase three-limb transformer in the second stem with The magnetic conductance of iron yoke magnetic flux between 3rd stem, Wherein μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer are represented respectively, μ7、S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8 And l8Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9 Magnetic conductivity, sectional area and the equivalent magnetic of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are represented respectively Road length, μ10、S10And l10The magnetic conductance of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer is represented respectively Rate, sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent that three-phase three-limb becomes The equivalent winding current of second stem magnetic flux, i in depressor8Represent the equivalent winding of three-phase three-limb the 3rd stem magnetic flux of transformer Electric current, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10 Represent the equivalent winding current of iron yoke magnetic flux, i.e. i between the second stem and the 3rd stem in three-phase three-limb transformer6Represent φ6 The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8Represent φ8The equivalent number of turn For N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10The equivalent number of turn is N11 Winding electric current, and meet
The electromotive force equation such as following formula of the three-phase three-limb transformer of the second above-mentioned structure module construction：
Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7Represent three-phase three-limb transformer In the second stem magnetic flux electromotive force, e8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents the in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between two stems and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
Inductance L in the equivalent circuit for the three-phase three-limb transformer that the second above-mentioned determining module determines6, inductance L7, inductance L8, inductance L9, inductance L10Such as following formula：
L6=N11p6N11
L7=N11p7N11
L8=N11p8N11
L9=N11p9N11
L10=N11p10N11。
For convenience of description, each several part of apparatus described above is divided into various modules with function or unit describes respectively. Certainly, each module or the function of unit can be realized in same or multiple softwares or hardware when implementing the application.
It should be understood by those skilled in the art that, embodiments herein can be provided as method, system or computer program Product.Therefore, the reality in terms of complete hardware embodiment, complete software embodiment or combination software and hardware can be used in the application Apply the form of example.Moreover, the computer for wherein including computer usable program code in one or more can be used in the application The computer program production that usable storage medium is implemented on (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.) The form of product.
The application is with reference to the flow according to the method for the embodiment of the present application, equipment (system) and computer program product Figure and/or block diagram describe.It should be understood that it can be realized by computer program instructions every first-class in flowchart and/or the block diagram The combination of flow and/or box in journey and/or box and flowchart and/or the block diagram.These computer programs can be provided The processor of all-purpose computer, special purpose computer, Embedded Processor or other programmable data processing devices is instructed to produce A raw machine so that the instruction performed by computer or the processor of other programmable data processing devices is generated for real The device for the function of being specified in present one flow of flow chart or one box of multiple flows and/or block diagram or multiple boxes.
These computer program instructions, which may also be stored in, can guide computer or other programmable data processing devices with spy Determine in the computer-readable memory that mode works so that the instruction generation being stored in the computer-readable memory includes referring to Make the manufacture of device, the command device realize in one flow of flow chart or multiple flows and/or one box of block diagram or The function of being specified in multiple boxes.
These computer program instructions can be also loaded into computer or other programmable data processing devices so that counted Series of operation steps is performed on calculation machine or other programmable devices to generate computer implemented processing, so as in computer or The instruction offer performed on other programmable devices is used to implement in one flow of flow chart or multiple flows and/or block diagram one The step of function of being specified in a box or multiple boxes.
Finally it should be noted that：The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, institute The those of ordinary skill in category field with reference to above-described embodiment still can to the present invention specific embodiment modify or Equivalent substitution, these are applying for this pending hair without departing from any modification of spirit and scope of the invention or equivalent substitution Within bright claims.

Claims (16)

  1. A kind of 1. transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, which is characterized in that including：
    Build the current equation and electromotive force equation of single-phase two-winding transformer；
    The equivalent circuit of single-phase two-winding transformer is determined according to the current equation of single-phase two-winding transformer and electromotive force equation；
    The equivalent circuit of the single-phase two-winding transformer includes inductance L1, inductance L2, inductance L3, inductance L4With inductance L5；It is described Inductance L2With inductance L5Series connection forms L2-L5Branch, the L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch, institute State (L2-L5)//L3Branch and inductance L4After series connection again with inductance L1It is in parallel.
  2. 2. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 1, feature exist In the current equation such as following formula of the single-phase two-winding transformer：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <msup> <msub> <mi>i</mi> <mi>a</mi> </msub> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>2</mn> </msub> <msub> <mi>p</mi> <mn>2</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>3</mn> </msub> <msub> <mi>p</mi> <mn>3</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>4</mn> </msub> <msub> <mi>p</mi> <mn>4</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>4</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>3</mn> </msub> <msub> <mi>p</mi> <mn>3</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>5</mn> </msub> <msub> <mi>p</mi> <mn>5</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>3</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>5</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents second in single-phase two-winding transformer The magnetic flux of stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4Represent the first core in single-phase two-winding transformer The leakage magnetic flux of column, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1It represents in single-phase two-winding transformer The equivalent winding current of first stem magnetic flux, i2Represent the winding electricity that the second stem magnetic flux is equivalent in single-phase two-winding transformer Stream, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents first in single-phase two-winding transformer The equivalent winding current of stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；Meet p1=p2=pw, p3=py, p4=p5=pf, pwRepresent single-phase The magnetic conductance of stem magnetic flux, p in two-winding transformeryRepresent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, pfRepresent single-phase The magnetic conductance of leakage magnetic flux, p in two-winding transformer1Represent the magnetic conductance of the first stem magnetic flux in single-phase two-winding transformer, p2Represent single The magnetic conductance of second stem magnetic flux, p in phase two-winding transformer3Represent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, p4Table Show the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent the second stem leakage field in single-phase two-winding transformer Logical magnetic conductance, Wherein μ1、S1And l1Represent the first core in single-phase two-winding transformer Magnetic conductivity, sectional area and the equivalent magnetic circuit length of column, μ2、S2And l2The second stem in single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and equivalent magnetic circuit length, μ3、S3And l3The magnetic conductivity of iron yoke in single-phase two-winding transformer is represented respectively, is cut Area and equivalent magnetic circuit length, μ1、μ2、μ3It is determined by JA hysteresis models；XdRepresent that single-phase two winding becomes Depressor short-circuit reactance is in the reduction value of first side winding, ω expression electric system angular frequencies.
  3. 3. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 2, feature exist In the electromotive force equation such as following formula of the single-phase two-winding transformer：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>4</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>3</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>3</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>5</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2It represents in single-phase two-winding transformer The electromotive force of second stem magnetic flux, e3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two winding The electromotive force of first stem leakage magnetic flux, e in transformer5Represent the electronic of the second stem leakage magnetic flux in single-phase two-winding transformer Gesture；And meetφ1=φ4+φ3, φ3=φ2+φ5,Represent the change rate of the first stem magnetic flux in single-phase two-winding transformer,Represent single-phase two winding The change rate of second stem magnetic flux in transformer,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,Table Show the change rate of the first stem leakage magnetic flux in single-phase two-winding transformer,Represent the second stem in single-phase two-winding transformer The change rate of leakage magnetic flux.
  4. 4. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 3, feature exist In inductance L in the equivalent circuit of the single-phase two-winding transformer1, inductance L2, inductance L3, inductance L4, inductance L5Respectively as the following formula It calculates：
    L1=N1p1N1
    L2=N1p2N1
    L3=N1p3N1
    L4=N1p4N1
    L5=N1p5N1。
  5. 5. a kind of transformer electromagnetic switching device equivalent based on Current Decomposition and winding, which is characterized in that including：
    First structure module, for building the current equation of single-phase two-winding transformer and electromotive force equation；
    First determining module determines single-phase two winding for the current equation according to single-phase two-winding transformer and electromotive force equation The equivalent circuit of transformer；
    The equivalent circuit of the single-phase two-winding transformer includes inductance L1, inductance L2, inductance L3, inductance L4With inductance L5；It is described Inductance L2With inductance L5Series connection forms L2-L5Branch, the L2-L5Branch and inductance L3Parallel connection forms (L2-L5)//L3Branch, institute State (L2-L5)//L3Branch and inductance L4After series connection again with inductance L1It is in parallel.
  6. 6. the transformer electromagnetic switching device equivalent based on Current Decomposition and winding according to claim 5, feature exist In the current equation of the single-phase two-winding transformer of the first structure module construction such as following formula：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <msup> <msub> <mi>i</mi> <mi>a</mi> </msub> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>2</mn> </msub> <msub> <mi>p</mi> <mn>2</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>3</mn> </msub> <msub> <mi>p</mi> <mn>3</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>4</mn> </msub> <msub> <mi>p</mi> <mn>4</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>4</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>i</mi> <mi>A</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>1</mn> </msub> <msub> <mi>p</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>3</mn> </msub> <msub> <mi>p</mi> <mn>3</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>5</mn> </msub> <msub> <mi>p</mi> <mn>5</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>3</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>5</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, φ1Represent the magnetic flux of the first stem in single-phase two-winding transformer, φ2It represents second in single-phase two-winding transformer The magnetic flux of stem, φ3Represent the magnetic flux of iron yoke in single-phase two-winding transformer, φ4Represent the first core in single-phase two-winding transformer The leakage magnetic flux of column, φ5Represent the leakage magnetic flux of the second stem in single-phase two-winding transformer；i1It represents in single-phase two-winding transformer The equivalent winding current of first stem magnetic flux, i2Represent the winding electricity that the second stem magnetic flux is equivalent in single-phase two-winding transformer Stream, i3Represent the winding current that iron yoke magnetic flux is equivalent in single-phase two-winding transformer, i4It represents first in single-phase two-winding transformer The equivalent winding current of stem leakage magnetic flux, i5Represent the winding electricity that the second stem leakage magnetic flux is equivalent in single-phase two-winding transformer Stream；iARepresent the electric current of first side winding in single-phase two-winding transformer, ia' represent in single-phase two-winding transformer secondary side around The electric current of first side winding is arrived in group conversion；N1Represent the number of turn of first side winding in single-phase two-winding transformer；Meet p1=p2=pw, p3=py, p4=p5=pf, pwRepresent single-phase The magnetic conductance of stem magnetic flux, p in two-winding transformeryRepresent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, pfRepresent single-phase The magnetic conductance of leakage magnetic flux, p in two-winding transformer1Represent the magnetic conductance of the first stem magnetic flux in single-phase two-winding transformer, p2Represent single The magnetic conductance of second stem magnetic flux, p in phase two-winding transformer3Represent the magnetic conductance of iron yoke magnetic flux in single-phase two-winding transformer, p4Table Show the magnetic conductance of the first stem leakage magnetic flux in single-phase two-winding transformer, p5Represent the second stem leakage field in single-phase two-winding transformer Logical magnetic conductance, Wherein μ1、S1And l1Represent the first core in single-phase two-winding transformer Magnetic conductivity, sectional area and the equivalent magnetic circuit length of column, μ2、S2And l2The second stem in single-phase two-winding transformer is represented respectively Magnetic conductivity, sectional area and equivalent magnetic circuit length, μ3、S3And l3The magnetic conductivity of iron yoke in single-phase two-winding transformer is represented respectively, is cut Area and equivalent magnetic circuit length, μ1、μ2、μ3It is determined by JA hysteresis models；XdRepresent that single-phase two winding becomes Depressor short-circuit reactance is in the reduction value of first side winding, ω expression electric system angular frequencies.
  7. 7. the transformer electromagnetic switching device equivalent based on Current Decomposition and winding according to claim 6, feature exist In the electromotive force equation of the single-phase two-winding transformer of the first structure module construction such as following formula：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>4</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>3</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>3</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>5</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, e1Represent the electromotive force of the first stem magnetic flux in single-phase two-winding transformer, e2It represents in single-phase two-winding transformer The electromotive force of second stem magnetic flux, e3Represent the electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e4Represent single-phase two winding The electromotive force of first stem leakage magnetic flux, e in transformer5Represent the electronic of the second stem leakage magnetic flux in single-phase two-winding transformer Gesture；And meetφ1=φ4+φ3, φ3=φ2+φ5,Represent the change rate of the first stem magnetic flux in single-phase two-winding transformer,Represent that single-phase two winding becomes The change rate of second stem magnetic flux in depressor,Represent the change rate of iron yoke magnetic flux in single-phase two-winding transformer,It represents The change rate of first stem leakage magnetic flux in single-phase two-winding transformer,Represent that the second stem leaks in single-phase two-winding transformer The change rate of magnetic flux.
  8. 8. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 7, feature exist In first determining module determines inductance L in the equivalent circuit such as the single-phase two-winding transformer of following formula1, inductance L2, inductance L3, inductance L4, inductance L5：
    L1=N1p1N1
    L2=N1p2N1
    L3=N1p3N1
    L4=N1p4N1
    L5=N1p5N1。
  9. A kind of 9. transformer electromagnetic conversion method equivalent based on Current Decomposition and winding, which is characterized in that including：
    Build the current equation and electromotive force equation of three-phase three-limb transformer；
    The equivalent circuit of three-phase three-limb transformer is determined according to the current equation of three-phase three-limb transformer and electromotive force equation；
    The equivalent circuit of the three-phase three-limb transformer includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10；It is described Inductance L8And L10Parallel connection forms L8//L10Branch, the L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch, institute State (L8//L10)-L7Branch and inductance L6And L9It is in parallel.
  10. 10. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 9, feature exist In the current equation such as following formula of the three-phase three-limb transformer：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>B</mi> <mi>B</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>6</mn> </msub> <msub> <mi>p</mi> <mn>6</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>9</mn> </msub> <msub> <mi>p</mi> <mn>9</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>7</mn> </msub> <msub> <mi>p</mi> <mn>7</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>6</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>9</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>7</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>C</mi> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>6</mn> </msub> <msub> <mi>p</mi> <mn>6</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>9</mn> </msub> <msub> <mi>p</mi> <mn>9</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>10</mn> </msub> <msub> <mi>p</mi> <mn>10</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>8</mn> </msub> <msub> <mi>p</mi> <mn>8</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>6</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>9</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>10</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>8</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase three-column The number of turn of formula transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7Represent three-phase The magnetic flux of second stem, φ in three pillar type transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents second in three-phase three-limb transformer The magnetic flux of iron yoke between stem and the 3rd stem；
    i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent three-phase three-limb transformer In the equivalent winding current of the second stem magnetic flux, i8Represent the equivalent winding electricity of three-phase three-limb the 3rd stem magnetic flux of transformer Stream, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10Table Show in three-phase three-limb transformer the equivalent winding current of iron yoke magnetic flux between the second stem and the 3rd stem；
    p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7Represent the second core in three-phase three-limb transformer The magnetic conductance of column magnetic flux, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent three-phase three-limb transformer In between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent the second stem and the 3rd in three-phase three-limb transformer The magnetic conductance of iron yoke magnetic flux between stem,Its Middle μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer, μ are represented respectively7、 S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8And l8 Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9Respectively Represent that the magnetic conductivity, sectional area and equivalent magnetic circuit of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are long Degree, μ10、S10And l10Represent respectively the magnetic conductivity of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer, Sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
    i6Represent φ6The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8It represents φ8The equivalent number of turn is N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10It is equivalent The number of turn be N11Winding electric current, and meet
  11. 11. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 10, feature It is, the electromotive force equation such as following formula of the three-phase three-limb transformer：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>6</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>9</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>9</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>7</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>10</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>10</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>8</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7It represents in three-phase three-limb transformer The electromotive force of second stem magnetic flux, e8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three-phase three In column-type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents second in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between stem and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
  12. 12. the transformer electromagnetic conversion method equivalent based on Current Decomposition and winding according to claim 11, feature It is, inductance L in the equivalent circuit of the three-phase three-limb transformer6, inductance L7, inductance L8, inductance L9, inductance L10It presses respectively Following formula calculates：
    L6=N11p6N11
    L7=N11p7N11
    L8=N11p8N11
    L9=N11p9N11
    L10=N11p10N11。
  13. 13. a kind of transformer electromagnetic switching device equivalent based on Current Decomposition and winding, which is characterized in that including：
    Second structure module, for building the current equation of three-phase three-limb transformer and electromotive force equation；
    Second determining module determines three-phase three-limb for the current equation according to three-phase three-limb transformer and electromotive force equation The equivalent circuit of transformer；
    The equivalent circuit of the three-phase three-limb transformer includes inductance L6, inductance L7, inductance L8, inductance L9With inductance L10；It is described Inductance L8And L10Parallel connection forms L8//L10Branch, the L8//L10Branch and inductance L7Series connection forms (L8//L10)-L7Branch, institute State (L8//L10)-L7Branch and inductance L6And L9It is in parallel.
  14. 14. the transformer electromagnetic switching device equivalent based on Current Decomposition and winding according to claim 13, feature It is, the current equation of the three-phase three-limb transformer of the second structure module construction such as following formula：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>B</mi> <mi>B</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>6</mn> </msub> <msub> <mi>p</mi> <mn>6</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>9</mn> </msub> <msub> <mi>p</mi> <mn>9</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>7</mn> </msub> <msub> <mi>p</mi> <mn>7</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>6</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>9</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>7</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <msub> <mi>i</mi> <mrow> <mi>C</mi> <mi>C</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>6</mn> </msub> <msub> <mi>p</mi> <mn>6</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>9</mn> </msub> <msub> <mi>p</mi> <mn>9</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>10</mn> </msub> <msub> <mi>p</mi> <mn>10</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>&amp;phi;</mi> <mn>8</mn> </msub> <msub> <mi>p</mi> <mn>8</mn> </msub> </mfrac> <mo>=</mo> <msub> <mi>N</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>i</mi> <mn>6</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>9</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>10</mn> </msub> <mo>+</mo> <msub> <mi>i</mi> <mn>8</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, iAA、iBB、iCCRepresent A, B, C phase current of three-phase three-limb high voltage side of transformer winding；N11Represent three-phase three-column The number of turn of formula transformer mesohigh side winding；φ6Represent the magnetic flux of the first stem in three-phase three-limb transformer, φ7Represent three-phase The magnetic flux of second stem, φ in three pillar type transformer8Represent the magnetic flux of the 3rd stem of three-phase three-limb transformer, φ9Represent three-phase In three pillar type transformer between the first stem and the second stem iron yoke magnetic flux, φ10It represents second in three-phase three-limb transformer The magnetic flux of iron yoke between stem and the 3rd stem；
    i6Represent the winding current that the first stem magnetic flux is equivalent in three-phase three-limb transformer, i7Represent three-phase three-limb transformer In the equivalent winding current of the second stem magnetic flux, i8Represent the equivalent winding electricity of three-phase three-limb the 3rd stem magnetic flux of transformer Stream, i9Represent the equivalent winding current of iron yoke magnetic flux, i between the first stem and the second stem in three-phase three-limb transformer10Table Show in three-phase three-limb transformer the equivalent winding current of iron yoke magnetic flux between the second stem and the 3rd stem；
    p6Represent the magnetic conductance of the first stem magnetic flux in three-phase three-limb transformer, p7Represent the second core in three-phase three-limb transformer The magnetic conductance of column magnetic flux, p8Represent the magnetic conductance of the 3rd stem magnetic flux in three-phase three-limb transformer, p9Represent three-phase three-limb transformer In between the first stem and the second stem iron yoke magnetic flux magnetic conductance, p10Represent the second stem and the 3rd in three-phase three-limb transformer The magnetic conductance of iron yoke magnetic flux between stem,Its Middle μ6、S6And l6Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the first stem in three-phase three-limb transformer, μ are represented respectively7、 S7And l7Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the second stem in three-phase three-limb transformer, μ are represented respectively8、S8And l8 Magnetic conductivity, sectional area and the equivalent magnetic circuit length of the 3rd stem in three-phase three-limb transformer, μ are represented respectively9、S9And l9Respectively Represent that the magnetic conductivity, sectional area and equivalent magnetic circuit of the first iron core column and the second iron core intercolumniation iron yoke in three-phase three-limb transformer are long Degree, μ10、S10And l10Represent respectively the magnetic conductivity of iron yoke between the second iron core column and the 3rd iron core column in three-phase three-limb transformer, Sectional area and equivalent magnetic circuit length, μ6、μ7、μ8、μ9、μ10Determined by JA hysteresis models；
    i6Represent φ6The equivalent number of turn is N11The electric current of winding, i7Represent φ7The equivalent number of turn is N11The electric current of winding, i8It represents φ8The equivalent number of turn is N11Winding electric current, i9Represent φ9The equivalent number of turn is N11Winding electric current, i10Represent φ10It is equivalent The number of turn be N11Winding electric current, and meet
  15. 15. the transformer electromagnetic switching device equivalent based on Current Decomposition and winding according to claim 14, feature It is, the electromotive force equation of the three-phase three-limb transformer of the second structure module construction such as following formula：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>6</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>9</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>9</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>7</mn> </msub> <mo>+</mo> <msub> <mi>e</mi> <mn>10</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>e</mi> <mn>10</mn> </msub> <mo>=</mo> <msub> <mi>e</mi> <mn>8</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, e6Represent the electromotive force of the first stem magnetic flux in three-phase three-limb transformer, e7It represents in three-phase three-limb transformer The electromotive force of second stem magnetic flux, e8Represent the electromotive force of the 3rd stem magnetic flux in three-phase three-limb transformer, e9Represent three-phase three In column-type transformer between the first stem and the second stem iron yoke magnetic flux electromotive force, e10It represents second in three-phase three-limb transformer The electromotive force of iron yoke magnetic flux between stem and the 3rd stem, and meet φ6=φ9, φ9=φ7+φ10, φ10=φ8,Represent three-phase three-limb transformer In the first stem magnetic flux change rate,Represent the change rate of the second stem magnetic flux in three-phase three-limb transformer,It represents The change rate of 3rd stem magnetic flux in three-phase three-limb transformer,Represent the first stem and the in three-phase three-limb transformer The change rate of iron yoke magnetic flux between two stems,Iron yoke magnetic between second stem and the 3rd stem in expression three-phase three-limb transformer Logical change rate.
  16. 16. the transformer electromagnetic switching device equivalent based on Current Decomposition and winding according to claim 15, feature It is, second determining module determines inductance L in the equivalent circuit such as the three-phase three-limb transformer of following formula6, inductance L7, electricity Sense
    L8, inductance L9, inductance L10：
    L6=N11p6N11
    L7=N11p7N11
    L8=N11p8N11
    L9=N11p9N11
    L10=N11p10N11。
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