CN107180697A - A kind of building method of novel matrix formula multiple degrees of freedom coupling inductance - Google Patents
A kind of building method of novel matrix formula multiple degrees of freedom coupling inductance Download PDFInfo
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F38/00—Adaptations of transformers or inductances for specific applications or functions
- H01F38/14—Inductive couplings
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- G—PHYSICS
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- H—ELECTRICITY
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- 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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- 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
- H01F27/30—Fastening or clamping coils, windings, or parts thereof together; Fastening or mounting coils or windings on core, casing, or other support
- H01F27/306—Fastening or mounting coils or windings on core, casing or other support
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F41/00—Apparatus or processes specially adapted for manufacturing or assembling magnets, inductances or transformers; Apparatus or processes specially adapted for manufacturing materials characterised by their magnetic properties
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Abstract
The invention discloses a kind of building method of novel matrix formula multiple degrees of freedom coupling inductance, wherein coupling inductance includes the coupling inductance unit of several matrixings, coupling inductance unit includes self-induction unit inductance and mutual inductance unit inductance, and self-induction unit inductance is formed using positive integrated two width winding on single secondary magnetic core；Mutual inductance unit inductance is formed using two windings of reverse coupled on single secondary magnetic core, coupling inductance unit by permutation and combination and the circuit connection of array realize multiple windings between magnetic it is integrated；The coupling inductance designed using the present invention is because using matrixing structure, magnetic core area of dissipation, reduction magnetic core thermal losses can be not only significantly increased, it is also equipped with structure versatility and expansibility, can be by increasing the number of coupling inductance unit magnetic core, arbitrarily expand the coupling inductance number of phases, and under full duty cycle pattern, its VRM stable state output waveform more smooth, burr is less, possesses stable fan-out capability.
Description
Technical field
Interlock the present invention relates to multiphase the coupling inductance technical field used in code converter, more particularly to array is put down
Face integrated magneticses field, specifically a kind of novel matrix formula multiple degrees of freedom suitable for how staggered coupled inverters couples electricity
The building method of sense.
Background technology
Can be notable using the crisscross parallel integrated magnetic based on coupling magnetic part in ployphase voltages conditioning module (VRM)
Improve its stable state input and output ripple characteristics, and improve current transformer dynamic characteristic and conversion efficiency, and be easier to obtain Gao Gong
Rate density and receive much concern.
The optimization design of integrated inductor is the key factor of the stable state and transient performance that influence VRM, and the rational degree of coupling can
To improve VRM output dynamic response, and the steady state ripple of each passage can be reduced.
More crisscross parallel current transformer coupling magnetic part is studied at present and mainly uses plane whole magnetic core structure, due to multiphase
Magnetic circuit is complex when inductance is integrated, and whole magnetic core structure using existing structure core configurations special construction magnetic core or will typically be adopted
With the magnetic core of die sinking design special construction.Existing literature shows, using the Multiple coil of existing core configurations whole magnetic core structure
During integrated inductor, generally to increase the height, volume and quantity of magnetic part, be unfavorable for realizing high power density；And use special knot
The magnetic core of structure needs die sinking to design again, adds design cost；Meanwhile, winding and the magnetic circuit mistake of whole magnetic core structure assembly inductance
In concentration, easily formation hot localised points are too high, cause the loss increase of magnetic part.
The content of the invention
For problem above present in prior art, the present invention uses planar array integrated magnetic, especially set out
A kind of novel matrix form multiple degrees of freedom applied to how staggered coupled mode bidirectional, dc current transformer combines the structure of coupling inductance
Make method.
To achieve these goals, the technical scheme is that：
A kind of novel matrix formula multiple degrees of freedom combines the building method of coupling inductance, and wherein coupling inductance includes several squares
The Basic Couplings inductance unit of array arrangement, coupling inductance unit concept has multiple degrees of freedom associativity, versatility and can expanded
Property, coupling inductance unit includes self-induction unit inductance and mutual inductance unit inductance, and self-induction unit inductance is using positive on single secondary magnetic core
Integrated two width winding is formed；Mutual inductance unit inductance is formed using two windings of reverse coupled on single secondary magnetic core, coupling inductance unit
Magnetic is integrated between realizing multiple windings by multiple degrees of freedom permutation and combination and the circuit connection of array, novel matrix formula multiple degrees of freedom
The building method of coupling inductance is realized by following steps：
(1) initially set up the cell position topology of n phase array coupling inductances, described cell position topology include it is upper,
Lower two kinds of citation forms of triangle matrix of elements, the upper and lower triangle matrix of elements is combined, be may be constructed again including several couplings
Close inductance unit full element units position n be coupled inductance matrix formula topology；
(2) set up and be coupled induction structure with the full topologically corresponding n of element units location matrix, by the n of full element position
The elementary cell coupling magnetic core winding head and the tail order connection of every phase inductance of phase matrix formula coupling inductance, each Basic Couplings inductance list
The magnetic core position of member can freely be adjusted as needed, i.e., combined, realized many by the multiple degrees of freedom of the small magnetic core of unit coupling inductance
Yardstick coupling magnetic part combination and the expansion of the coupling inductance number of phases；Be coupled the practical application and power demand of inductance according to n
Etc. condition, in, small-power grade generally use upper and lower triangle element structural topology tectonic coupling magnetic part, and for it is high-power should
The n phase matrix formula coupling inductances of full element position can be used with occasion；By by the elementary cell of every phase inductance couple magnetic core around
The order connection of group head and the tail, and adjust the magnetic core position of each Basic Couplings inductance unit in real time as needed, by unit coupling inductance
Small magnetic core multiple degrees of freedom combination, can construct n be coupled inductance n × 2n structure matrixs topology, n × n structure matrixs topology
And 2n structure matrix topologys etc.；
(3) coefficient of coup K of analysis phase inductance coupling inductance in the different numbers of turn of identical magnetic resistanceij, obtain identical magnetic resistance not
The coefficient of coup K of coupling inductance during with the number of turnijWith turn ratio α and the graph of relation of coupling number of phases n changes；
(4) coefficient of coup K of analysis phase inductance coupling inductance in different magnetic resistance and the different numbers of turnij, obtain different magnetic resistance
The coefficient of coup K of coupling inductance during with the number of turnijWith turn ratio α and magneto resistive ratio β graph of relation；
(5) the analysis design self-induction unit inductance l more thaniiWith mutual inductance unit inductance mij, obtain mutual inductance unit inductance mij
Unit number of turn Nm, and calculating obtains unit magnetic circuit reluctance, a unit turn ratio α is given, with reference to degree of coupling Kop, using not
The coefficient of coup of coupling inductance and the relation curve of the turn ratio and magneto resistive ratio, determine magneto resistive ratio β during with magnetic resistance and the number of turn, recycle magnetic
Magnetic resistance needed for resistance calculates self-induction unit inductance than β, so as to obtain self-induction unit inductance liiUnit number of turn Nl；
(6) the unit number of turn N of self-induction unit inductance is utilizedlThe unsaturated condition of magnetic circuit whether is met to verify, if it is not satisfied,
Unit turn ratio α is then given again to be calculated；
(7) analyzed more than, design one four mutually fully integrated matrix form coupling inductance of construction and one six electricity that is coupled
Sense, builds the correctness that VRM system test platforms verify the building method of the novel matrix formula multiple degrees of freedom coupling inductance.
Further, the scope of design of phase inductance coefficient of coup of coupling inductance in the different numbers of turn of identical magnetic resistance
It is that two maximum degrees of coupling when being integrated are 1, the maximum degree of coupling is 0.5 when three-phase is integrated, four maximum degrees of coupling when being integrated are
0.33, six maximum degrees of coupling when being integrated are 0.2, that is, N phase windings it is integrated when the maximum coefficient of coup be 1/n-1；
Further, the verification step of the unsaturated condition of the magnetic circuit is：The first step, stable state is tried to achieve using Best Coupling degree
Inductance value, second step tries to achieve equilibrium transport inductive current ripple according to stable state inductance value, finally calculates the magnetic of unit mutual inductance magnetic core
Induction oscillating quantity, if magnetic induction intensity oscillating quantity is larger, needs out air gap to avoid unit mutual inductance magnetic core saturation.
Further, the matrix topology structure of the novel matrix formula multiple degrees of freedom coupling inductance includes upper and lower Order Triangular Elements
Plain structural topology, the n of full element position n × n structures are coupled the matrix topology of inductance and the n of full element position n × 2n structures
Be coupled the matrix topology of inductance.
Further, the upper and lower triangle element structural topology is made up of the small magnetic core of n (n+1)/2 cellular construction, described
The n of full element position n × n structures be coupled inductance matrix topology by n2The individual small magnetic core of cellular construction is constituted, the full element
The n of position n × 2n structures be coupled inductance matrix topology by 2n2The individual small magnetic core of cellular construction or n2The individual small magnetic core of cellular construction
Constitute, the n small magnetic core units that inductance coupled using 2n structure matrixs topology by 2n cellular construction that are coupled are constituted；Its
Middle n represents the number of phases of inductive, also correspond to the work number of phases of interleaved parallel converter, the winding of each coupling inductance unit
The number of turn is obtained according to required inductance value and by calculating, and coupling inductance unit is divided into self-induction unit and mutual inductance unit, wherein self-induction
Unit magnetic core includes leakage inductance and adjusts magnetic core, to adjust the coefficient of coup between each phase, realizes the symmetrization coupling of multiphase coupled inductance
And mechanical balance.
Further, the small magnetic core of the cellular construction is each including the rectangular shaped cores such as toroidal core and plane UI, EI
The magnetic core of kind of magnetic core and different magnetic resistance specifications, with realize in versatility, replaceability and easily design, each unit magnetic core symmetrization around
Two windings are made, difference is respectively adopted according to the difference of matrix position feature and self-induction unit and mutual inductance unit in described two windings
Coupled modes, two windings of the small magnetic core of the self-induction unit are using positive coiling, the two of the small magnetic core of the mutual inductance unit
Individual winding uses oppositely wound, and the winding of the small magnetic core is the various windings including PCB windings.
The invention discloses the building method that a kind of novel matrix formula multiple degrees of freedom combines coupling inductance, with following beneficial
Effect：
(1) propose coupling inductance unit based on basic core structure and expand concept, by more than unit coupling inductance from
Combined by degree matrixing, derive and the integrated matrixing topological structure of any many phase inductances can be achieved, matrix form coupling magnetic part
With simple in construction, topological alterable, and coupling inductance unit core structure is unrestricted, therefore can realize multiple dimensioned free group
Close and general expanding type, and extend to any n and be coupled the design of inductance.
(2) the n phase VRM integrated inductor degree of coupling design criterias analyzed have versatility.
(3) analyze in the case of the different numbers of turn of identical magnetic resistance and the coefficient of coup is set in the case of different magnetic resistance and the different numbers of turn
Meter method, gives the matrix form coupling inductance universal design criterion.
(4) matrix form coupling magnetic part couples magnetic core parameter and air gap etc. by adjustment unit in the present invention, you can realize coupling
Right change, meets the different degree of coupling scopes of design of n phase VRM coupling inductances and requirement, realizes multiphase VRM coupling inductances pair
Titleization is designed, and has expanded the new theory and new approaches of the asymmetric coupling inductance symmetrization researchs of multiphase VRM.
(5) winding of coupling two-by-two in the present invention on the unit mutual inductance magnetic core of matrix form coupling magnetic part uses reverse design side
Formula, effectively eliminates D.C. magnetic biasing.
Brief description of the drawings
Fig. 1 is the staggered VRM circuit diagrams in parallel of n of application integration inductance；
Fig. 2 is the citation form figure of n phase matrix formula coupling inductances cell position topology, and Fig. 2 a are upper triangle matrix of elements position
Topological diagram is put, Fig. 2 b are lower triangle matrix of elements position topological diagram, and Fig. 2 c are full matrix of elements cell position topological diagram；
Fig. 3 is the n phase matrixs formula coupling magnetic part topological structure schematic diagram using upper triangle element structure；
Fig. 4 is the n phase matrixs formula coupling magnetic part topological structure schematic diagram using lower triangle element structure；
Fig. 5 is the n phase matrixs formula coupling magnetic part topological structure schematic diagram using full element position structure；
Fig. 6 is that n is coupled inductance UI types magnetic core n × 2n structure matrix topological diagrams；
Fig. 7 is that n is coupled inductance EI magnetic cores n × n structure matrix topological diagrams；
Fig. 8 is 3 phases and the 4 matrix topology figures for being coupled inductance toroidal core 2n structures, and wherein Fig. 8 a are 3 to be coupled electricity
Feel the matrix topology figure of toroidal core 2n structures, Fig. 8 b are the 4 matrix topology figures for being coupled inductance toroidal core 2n structures；
K when Fig. 9 is the identical magnetic resistance difference number of turnijWith α and n change curve (using upper and lower triangle element structure)；
K when Figure 10 is the identical magnetic resistance difference number of turnijWith α and n change curve (using full matrix of elements structure, UI magnetic
Core n × 2n structures, EI magnetic cores n × n structures)；
The coefficient of coup K of integrated inductor when Figure 11 is different magnetic resistance and the different numbers of turnij(used with α and β graph of relation
Upper and lower triangle element structure)；
The coefficient of coup K of integrated inductor when Figure 12 is different magnetic resistance and the different numbers of turnij(used with α and β graph of relation
Full matrix of elements structure, UI magnetic cores n × 2n structures, EI magnetic cores n × n structures)；
Figure 13 is four mutually fully integrated coupling inductance design drawings；
Figure 14 is that array magnetic integrated four is coupled the structure and connection diagram of inductance；
Figure 15 is four phase matrix formula coupling inductance model machine figures；
Figure 16 is the VRM experiment porch figures based on coupling inductance model machine；
Figure 17 is the full duty cycle range steady-state current waveform figures of VRM using matrix form coupling inductance, and wherein Figure 17 a are to account for
Sky is than D=0.125 phase inductive current ripple oscillograms, total output current ripple waveform when Figure 17 b are dutycycle D=0.125
Figure, Figure 17 c are dutycycle D=0.4 phase inductive current ripple oscillograms, total output current when Figure 17 d are dutycycle D=0.4
Ripple oscillogram, Figure 17 e are dutycycle D=0.6 phase inductive current ripple oscillograms, and Figure 17 f are total when being dutycycle D=0.6
Output current ripple oscillogram, Figure 17 g are dutycycle D=0.875 phase inductive current ripple oscillograms, and Figure 17 h are dutycycle
Total output current ripple oscillogram during D=0.875；
Figure 18 is the VRM relay protection oscillograms using matrix form coupling inductance, and Figure 18 a are that VRM output currents dynamic is real
Test timing output voltage waveform in oscillogram, Figure 18 b loads, the lower timing output voltage waveform of Figure 18 c loads.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than whole embodiments.It is based on
Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under the premise of creative work is not made
Embodiment, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.
A kind of novel matrix formula multiple degrees of freedom combines the building method of coupling inductance, and wherein coupling inductance includes several squares
The Basic Couplings inductance unit of array arrangement, coupling inductance unit concept has multiple degrees of freedom associativity, versatility and can expanded
Property, coupling inductance unit includes self-induction unit inductance and mutual inductance unit inductance, and self-induction unit inductance is using positive on single secondary magnetic core
Integrated two width winding is formed；Mutual inductance unit inductance is formed using two windings of reverse coupled on single secondary magnetic core, coupling inductance unit
Magnetic is integrated between realizing multiple windings by multiple degrees of freedom permutation and combination and the circuit connection of array, applied to the N phases shown in Fig. 1
The building method of the coupling inductance of the novel matrix formula multiple degrees of freedom combination of the two-way DC converter staggeredly coupled is by as follows
What step was realized：
(1) the cell position topology of n phases array coupling inductance as shown in Figure 2, described cell position topology bag are set up
Upper and lower two kinds of citation forms of triangle matrix of elements are included, the upper and lower triangle matrix of elements is combined, be may be constructed again such as Fig. 2
(c) n of the full element units position including several coupling inductance units shown in be coupled inductance matrix formula topology；According to figure
N phase matrixs formula coupling magnetic part topological structure schematic diagram shown in 3- Fig. 7, and matrix form coupling magnetic part cell position topology are general
Read, each cell position element for defining matrix topology is a Basic Couplings inductance unit, the Basic Couplings inductance is expanded
Unit as whole coupling magnetic part self-induction unit and mutual inductance unit, wherein as self-induction unit Basic Couplings inductance unit by
The winding of one secondary small magnetic core and two width forward direction coupling coiling is constituted, secondary small by one as the Basic Couplings inductance unit of mutual inductance unit
Magnetic core and the winding of two width reverse coupled coilings are constituted, with two couplings from winding by adjusting Basic Couplings inductance unit
Coefficient, realizes the change of the degree of coupling between the inductance that is respectively coupled.
(2) set up and be coupled induction structure with the full topologically corresponding n of element units location matrix, by the n of full element position
The elementary cell coupling magnetic core winding head and the tail order connection of every phase inductance of phase matrix formula coupling inductance, each Basic Couplings inductance list
The magnetic core position of member can freely be adjusted as needed, i.e., combined, realized many by the multiple degrees of freedom of the small magnetic core of unit coupling inductance
Yardstick coupling magnetic part combination and the expansion of the coupling inductance number of phases；Be coupled the practical application and power demand of inductance according to n
Etc. condition, in, small-power grade generally using as shown in Fig. 3 and Fig. 4 upper and lower triangle element structural topology tectonic coupling magnetic part,
And can be using the n phase matrix formula coupling inductances that can use the full element position shown in Fig. 5 to Fig. 8 for high-power applications occasion；
Connected by the way that the elementary cell of every phase inductance is coupled into magnetic core winding head and the tail order, and adjust each Basic Couplings in real time as needed
The magnetic core position of inductance unit, the multiple degrees of freedom of the small magnetic core of unit coupling inductance is combined, the n phases as shown in Fig. 6 can be constructed
The topological and as shown in Figure 8 2n structures of the topological, as shown in Figure 7 n × n structure matrixs of n × 2n structure matrixs of coupling inductance
Matrix topology etc.；
(3) coefficient of coup K of analysis phase inductance coupling inductance in the different numbers of turn of identical magnetic resistanceij, obtain as shown in Figure 9
The identical magnetic resistance different number of turn when matrix form coupling inductance KijWith α and n change curve (using upper and lower triangle element structure),
And matrix form coupling inductance K during identical magnetic resistance shown in Figure 10 different numbers of turnijWith α and n change curve (using full element square
Battle array structure, UI magnetic cores n × 2n structures, EI magnetic cores n × n structures)；
(4) coefficient of coup K of analysis phase inductance coupling inductance in different magnetic resistance and the different numbers of turnij, obtain such as Figure 11 institutes
The coefficient of coup K of integrated inductor when the different magnetic resistance shown and the different numbers of turnij(upper and lower Order Triangular Elements are used with α and β relation curve
Plain structure), and Figure 12 be different magnetic resistance and the different numbers of turn when integrated inductor coefficient of coup Kij(adopted with α and β relation curve
With full matrix of elements structure, UI magnetic cores n × 2n structures, EI magnetic cores n × n structures)；
(5) the analysis design self-induction unit inductance l more thaniiWith mutual inductance unit inductance mij, obtain mutual inductance unit inductance mij
Unit number of turn Nm, and calculating obtains unit magnetic circuit reluctance, then a unit turn ratio α is given, with reference to degree of coupling Kop, utilize
The coefficient of coup of coupling inductance and the turn ratio and the relation of magneto resistive ratio when different magnetic resistance as is illustrated by figs. 11 and 12 and the different numbers of turn
Curve, determines magneto resistive ratio β, recycles magneto resistive ratio β to calculate magnetic resistance needed for self-induction unit inductance, so as to obtain self-induction unit inductance
liiUnit number of turn Nl；
(6) the unit number of turn N of self-induction unit inductance is utilizedlThe unsaturated condition of magnetic circuit whether is met to verify, if it is not satisfied,
Unit turn ratio α is then given again to be calculated；
(7) by more than analyze, the array magnetic integrated four according to Figure 13, Figure 14 be coupled inductance structure chart and
Connection diagram；Design one four mutually fully integrated coupling inductance model machine as shown in figure 15 of construction, and build VRM systems as shown in figure 16
System test platform, verifies the correctness of the building method of the novel matrix formula multiple degrees of freedom coupling inductance, VRM stable states and transient state
Test waveform is as shown in Figure 17 and Figure 18.
As preferred embodiment, phase inductance coefficient of coup of coupling inductance in the different numbers of turn of identical magnetic resistance
Scope of design is that two maximum degrees of coupling when being integrated are 1, and the maximum degree of coupling is 0.5 when three-phase is integrated, four maximum couplings when being integrated
Right is 0.33, and six maximum degrees of coupling when being integrated are 0.2, that is, N phase windings it is integrated when the maximum coefficient of coup be 1/n-1；
As preferred embodiment, the verification step of the unsaturated condition of the magnetic circuit is：The first step, utilizes Best Coupling
Degree tries to achieve stable state inductance value, and second step tries to achieve equilibrium transport inductive current ripple according to stable state inductance value, finally calculates unit mutual
Feel the magnetic induction intensity oscillating quantity of magnetic core, if magnetic induction intensity oscillating quantity is larger, need out air gap to avoid unit mutual inductance magnetic
Core saturation.
As preferred embodiment, the matrix topology structure of the novel matrix formula multiple degrees of freedom coupling inductance includes
Upper and lower triangle element structural topology, the n of full element position n × n structures are coupled the matrix topology and full element position n of inductance
The n of × 2n structures is coupled the matrix topology of inductance.
As preferred embodiment, from Fig. 3 and Fig. 4, the upper and lower triangle element structural topology is by n (n+1)/2
The small magnetic core of individual cellular construction is constituted, shown in Fig. 5 and Fig. 7, and the n for expiring element position n × n structures is coupled inductance
Matrix topology by n2The individual small magnetic core of cellular construction is constituted, shown in Fig. 6 and Fig. 7, the full element position n × 2n knots
The n of structure be coupled inductance matrix topology by 2n2The individual small magnetic core of cellular construction or n2The individual small magnetic core of cellular construction is constituted, by Fig. 8 institutes
Show and understand, the small magnetic core list coupled using the n phase matrix formula coupling inductances of 2n structure matrix topology formations by 2n cellular construction
Member is constituted；Wherein n represents the number of phases of inductive, also correspond to the work number of phases of interleaved parallel converter, each coupling inductance
The umber of turn of unit is obtained according to required inductance value and by calculating, and coupling inductance unit is divided into self-induction unit and mutual inductance list
Member, wherein self-induction unit magnetic core include leakage inductance and adjust magnetic core, to adjust the coefficient of coup between each phase, realize multiphase coupled inductance
Symmetrization is coupled and mechanical balance.
As preferred embodiment, the small magnetic core of cellular construction includes the rectangle magnetic such as toroidal core and plane UI, EI
The magnetic core of various magnetic cores and different magnetic resistance specifications including core, to realize versatility, replaceability and easily design, each unit magnetic core
Interior two windings of symmetrization coiling, described two windings divide according to the difference of matrix position feature and self-induction unit and mutual inductance unit
Not Cai Yong different coupled modes, two windings of the small magnetic core of the self-induction unit using positive coiling, the mutual inductance unit
Two windings of small magnetic core use oppositely wound, and the winding of the small magnetic core is the various windings including PCB windings.
The inductance that is coupled of matrix form four shown in Figure 15 is applied to VRM system test platforms as shown in figure 16, and passed through
Digital control its dutycycle of change, tests its full duty cycle range homeostasis experimental waveform as shown in figure 17, relay protection waveform
As shown in figure 18.Analyze experimental result to understand, using the construction of novel matrix formula multiple degrees of freedom coupling inductance proposed by the present invention
The coupling inductance of method design, under full duty cycle pattern, its VRM steady-state behaviour and transient performance is good, possesses pole
Big practicality and performance advantage.
Claims (6)
1. a kind of building method of novel matrix formula multiple degrees of freedom coupling inductance, it is characterised in that if the coupling inductance includes
The coupling inductance unit of dry matrixing, the coupling inductance unit includes self-induction unit inductance and mutual inductance unit inductance, described
Self-induction unit inductance is formed using positive integrated two width winding on single secondary magnetic core；The mutual inductance unit inductance is using on single secondary magnetic core
Two windings of reverse coupled are formed, the coupling inductance unit by the connection of the permutation and combination and circuit of array realize it is multiple around
Magnetic is integrated between group, and the building method of the novel matrix formula multiple degrees of freedom coupling inductance is realized by following steps：
(1) the cell position topology of n phase array coupling inductances is initially set up, described cell position topology includes upper and lower three
Two kinds of citation forms of angle matrix of elements, the upper and lower triangle matrix of elements is combined, and may be constructed again including several coupling electricity
Feel unit full element units position n be coupled inductance matrix formula topology；
(2) set up and be coupled induction structure with the full topologically corresponding n of element units location matrix, by the n phase squares of full element position
The elementary cell coupling magnetic core winding head and the tail order connection of every phase inductance of configuration coupling inductance, each Basic Couplings inductance unit
Magnetic core position can freely be adjusted as needed, i.e., combined by the multiple degrees of freedom of the small magnetic core of unit coupling inductance, can construct n phase couplings
Inductance n × 2n structure matrixs topology, n × n structure matrixs topology and 2n structure matrix topologys etc. are closed, multi-scale coupling magnetic is realized
Part combines the expansion with the coupling inductance number of phases；
(3) coefficient of coup of analysis phase inductance coupling inductance in the different numbers of turn of identical magnetic resistance, obtains the different numbers of turn of identical magnetic resistance
When coupling inductance the graph of relation that changes with the turn ratio and the number of phases of the coefficient of coup；
(4) coefficient of coup of analysis phase inductance coupling inductance in different magnetic resistance and the different numbers of turn, obtains different magnetic resistance and the number of turn
When coupling inductance the coefficient of coup and the turn ratio and the graph of relation of magneto resistive ratio；
(5) analysis design self-induction unit inductance and mutual inductance unit inductance more than, obtain the unit number of turn of mutual inductance unit inductance,
And calculating obtains unit magnetic circuit reluctance, a unit turn ratio is given, with reference to degree of coupling requirement, coupling when different magnetic resistance and the number of turn is utilized
The coefficient of coup and the relation curve of the turn ratio and magneto resistive ratio of inductance are closed, magneto resistive ratio is determined, recycles magneto resistive ratio to calculate self-induction unit
Magnetic resistance needed for inductance, so as to obtain the unit number of turn and mutual inductance unit electricity of the transformable self-induction unit inductance of the achievable coefficient of coup
The unit number of turn of sense；
(6) verified using the unit number of turn of self-induction unit inductance and whether meet the unsaturated condition of magnetic circuit, if it is not satisfied, then again
The given unit turn ratio is calculated；
(7) analyzed more than, design one four mutually fully integrated coupling inductance of construction build VRM system test platforms checking institute
State the correctness of the building method of novel matrix formula multiple degrees of freedom coupling inductance.
2. the building method of novel matrix formula multiple degrees of freedom coupling inductance according to claim 1, it is characterised in that the phase
Inductance scope of design of the coefficient of coup of coupling inductance in the different numbers of turn of identical magnetic resistance is that two maximum degrees of coupling when being integrated are
1, the maximum degree of coupling is 0.5 when three-phase is integrated, and four maximum degrees of coupling when being integrated are 0.33, and six maximum degrees of coupling when being integrated are
0.2, that is, N phase windings it is integrated when the maximum coefficient of coup be 1/n-1.
3. the building method of novel matrix formula multiple degrees of freedom coupling inductance according to claim 1, it is characterised in that the magnetic
Road unsaturation condition verification step be：The first step, stable state inductance value, second step, according to stable state are tried to achieve using Best Coupling degree
Inductance value tries to achieve equilibrium transport inductive current ripple, the magnetic induction intensity oscillating quantity of unit mutual inductance magnetic core is finally calculated, if magnetic strength
Answer intensity oscillating quantity larger, then need out air gap to avoid unit mutual inductance magnetic core saturation.
4. the building method of novel matrix formula multiple degrees of freedom coupling inductance according to claim 1, it is characterised in that described new
The matrix topology structure of type matrix form multiple degrees of freedom coupling inductance include upper and lower triangle element structural topology, full element position n ×
The matrix topology of the n of n structures is coupled the matrix topology of inductance and the n of full element position n × 2n structures is coupled inductance.
5. the building method of novel matrix formula multiple degrees of freedom coupling inductance according to claim 4, it is characterised in that described
Upper and lower triangle element structural topology is made up of the small magnetic core of n (n+1)/2 cellular construction, the n of the full element position n × n structures
Be coupled inductance matrix topology by n2The individual small magnetic core of cellular construction is constituted, and the n of the full element position n × 2n structures is coupled
The matrix topology of inductance is by 2n2The individual small magnetic core of cellular construction or n2The individual small magnetic core of cellular construction is constituted.
6. the building method of novel matrix formula multiple degrees of freedom coupling inductance according to claim 5, it is characterised in that the list
It is right in various magnetic cores of the small magnetic core of meta structure including the rectangular shaped core such as toroidal core and plane UI, EI, each unit magnetic core
Two windings of titleization coiling, described two windings are adopted respectively according to the difference of matrix position feature and self-induction unit and mutual inductance unit
Different coupled modes are used, two windings of the small magnetic core of the self-induction unit are using positive coiling, the small magnetic of the mutual inductance unit
Two windings of core use oppositely wound, and the winding of the small magnetic core is the various windings including PCB windings.
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| CN108492958A (en) * | 2018-04-16 | 2018-09-04 | 山东大学 | A kind of tandem multiphase is interlocked coupling inductance structure and its control method |
| CN108988908A (en) * | 2018-07-25 | 2018-12-11 | 华北电力大学（保定） | A kind of medium-voltage distribution network carrier communication cassette inductive coupler setting method and system |
| CN110867296A (en) * | 2018-08-27 | 2020-03-06 | 株式会社万都 | Inductor device, filter device and steering system |
| CN111029121A (en) * | 2019-12-26 | 2020-04-17 | 北京空间飞行器总体设计部 | Construction method of array type integrated magnetic part of multiphase coupling inductor and integrated inductor |
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| CN111341544A (en) * | 2020-03-20 | 2020-06-26 | 杭州电子科技大学 | Fully-coupled magnetic element |
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