CN106771507A - Based on the synchronous Fast reactive current of voltage reference split-phase - Google Patents
Based on the synchronous Fast reactive current of voltage reference split-phase Download PDFInfo
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
- G01R19/06—Measuring real component; Measuring reactive component
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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- H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract
The present invention relates to a kind of method for quick of reactive current, belong to electrician's class technical field, specifically, it is a kind of Fast reactive current synchronous based on voltage reference split-phase, the present invention is carried based on the synchronous Fast reactive current of voltage reference split-phase, one side, due to based on instantaneous reactive power theory, relative to frequency domain detection methods such as Fast Fourier Transform (FFT)s (FFT), detection speed is fast, and real-time is stronger；On the other hand, overcoming the existing reactive current detection method based on instantaneous reactive power theory can not realize the defect of split-phase Detecting Reactive Current, especially under the conditions of unbalanced load, the inventive method can accurately detect each phase load reactive current, and the existing reactive current detection method based on instantaneous reactive power theory cannot realize that the reactive current of unbalanced load is accurately detected.
Description
Technical field
The present invention relates to a kind of method for quick of reactive current, belong to electrician's class technical field, be one specifically
Plant based on the synchronous Fast reactive current of voltage reference split-phase, be capable of achieving dividing to the reactive current of arbitrary load
Phase, real-time, accurate detection.
Background technology
The quick accurate detection of reactive current, is Active Power Filter-APF (Active Power Filter, APF), static
The power quality controlling devices such as reacance generator (Static Var Generator, SVG) realize the prerequisite of idle effective compensation
Condition, is also one of key technology of determination device performance.Therefore, the detection technique of reactive current is always people in electric energy
The emphasis and focus of quality controlling area research, by the development of several years, have had many electric current detecting methods successively to be carried
Go out, mainly have following two using more ripe extensive method wherein in engineering：
First, the various frequency domain detection methods based on Fourier series techniques, with Fast Fourier Transform (FFT) (Fast
Fourier Transform, FFT) based on detection method.The method carries out Fourier according to a current value for power frequency period of collection
Leaf analysis, finally give required idle harmonic electric current.But, the algorithm is complicated, timeliness is poor, is not suitable in real-time
It is required that compensation field application higher.
Secondth, the various temporal current detection methods based on Theory of Instantaneous Reactive Power of Three-Phase Circuits, such detection method
Real-time it is stronger.But at present, the existing detection method based on instantaneous reactive power theory can not realize electric current split-phase
Detection, especially when threephase load is uneven, can not accurately detect each phase load reactive current.For example, existing based on wink
When reactive power theory reactive current detection method can accurately detect the idle electricity of fundamental positive sequence in threephase load electric current
Stream, when threephase load is balanced, three-phase fundamental positive sequence reactive current is threephase load fundamental reactive current；And work as threephase load
When uneven, especially for three-phase four-wire system for, due to there is negative phase-sequence and zero-sequence current, three-phase fundamental positive sequence is idle electricity
Flow and be not equal to threephase load fundamental reactive current.
Therefore, the present invention is based on instantaneous reactive power theory, it is proposed that a kind of split-phase method for quick of reactive current,
On the one hand the real-time of instantaneous reactive power theory detection method has been given full play to；On the other hand, overcome existing based on instantaneous reactive
Power Theory detection method can not realize the defect of split-phase Detecting Reactive Current, especially under the conditions of unbalanced load, the present invention
Method can accurately detect each phase load reactive current.
The content of the invention
The invention aims to realize split-phase, real-time, accurate detection to the reactive current of arbitrary load.
To reach above-mentioned purpose, the present invention adopts the following technical scheme that to realize：
A kind of Fast reactive current synchronous based on voltage reference split-phase, including A phases Detecting Reactive Current, B
Phase Detecting Reactive Current and C phase Detecting Reactive Currents,
Wherein, A phases Detecting Reactive Current is comprised the following steps：
(1) it is i to define three-phase arbitrary load current matrix：
Wherein：
The zero-sequence current for defining three-phase arbitrary load is i0:
(2) with A phase line voltages as synchronizing datum signal, positive sequence transformation matrix is definedNegative phase-sequence transformation matrixWith zero sequence transformation matrix C0For：
(3) useThree-phase current i in abc coordinate systems is transformed into fundamental positive sequence synchronous rotating frame
In (Synchronous Rotating Frame, SRF), current definition is on fundamental positive sequence SRF after conversion
Wherein：
With low pass filter (Low Pass Filter, LPF), filterIn of ac, obtainIn DC quantity,
The DC quantity is defined as
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, fundamental wave is born after conversion
Current definition is on sequence SRF
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity, the DC quantity is defined as
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity, the DC quantity is defined as I0q1：
(6) A phase reactive currents are calculated
The B phases Detecting Reactive Current is comprised the following steps：
(1) it is by threephase load electric current i rearrangements：
(2) with B phase line voltages as synchronizing datum signal, positive sequence transformation matrixNegative phase-sequence transformation matrixWith
Zero sequence transformation matrix C0Develop into：
(3) useDuring three-phase current i in abc coordinate systems transformed into fundamental positive sequence SRF, obtain
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, electric current is obtained
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity I0q1：
(6) B phase reactive currents are calculated
The C phases Detecting Reactive Current is comprised the following steps：
(1) it is by threephase load electric current i rearrangements：
(2) with C phase line voltages as synchronizing datum signal, positive sequence transformation matrixNegative phase-sequence transformation matrixWith
Zero sequence transformation matrix C0Develop into：
(3) useDuring three-phase current i in abc coordinate systems transformed into fundamental positive sequence SRF, obtain
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, electric current is obtained
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity I0q1：
(6) C phase reactive currents are calculated
Beneficial effects of the present invention：Based on the synchronous Fast reactive current of voltage reference split-phase, on the one hand, by
In based on instantaneous reactive power theory, relative to frequency domain detection methods such as Fast Fourier Transform (FFT)s (FFT), detection speed is fast, real
When property is stronger；On the other hand, overcoming the existing reactive current detection method based on instantaneous reactive power theory can not realize split-phase
The defect of Detecting Reactive Current, especially under the conditions of unbalanced load, the inventive method can accurately detect each phase load without
Work(electric current, and the existing reactive current detection method based on instantaneous reactive power theory cannot realize the idle electricity of unbalanced load
The accurate detection of stream.
Brief description of the drawings
Fig. 1 is A phase fundamental reactive current detection principle diagrams.
Fig. 2 is A phases fundamental reactive current detection simplified pinciple figure.
Fig. 3 is B phase fundamental reactive current detection principle diagrams.
Fig. 4 is B phases fundamental reactive current detection simplified pinciple figure.
Fig. 5 is C phase fundamental reactive current detection principle diagrams.
Fig. 6 is C phases fundamental reactive current detection simplified pinciple figure.
Fig. 7 is three-phase four-wire system typical case's three-phase imbalance load wiring diagram
Fig. 8 is three-phase voltage current polar plot.
Fig. 9 is A phase reactive current vectors figures.
Figure 10 is the B phases and C phase reactive current vectors figures on the basis of A phase voltages.
Figure 11 is the three-phase voltage current polar plot on the basis of B phase voltages.
Figure 12 is B phase reactive current vectors figures.
Figure 13 is the three-phase voltage current polar plot on the basis of C phase voltages.
Figure 14 is C phase reactive current vectors figures.
Specific embodiment
In order to deepen the understanding of the present invention, the present invention is done below in conjunction with embodiment and accompanying drawing is further retouched in detail
State, the embodiment is only used for explaining the present invention, protection scope of the present invention is not constituted and is limited.
The present invention defines three-phase power grid voltage：
It is i to define three-phase arbitrary load current matrix：
Wherein：
The zero-sequence current for defining three-phase arbitrary load is i0:
New reactive current detection method of the invention described in detail below：
The detection of A phase reactive currents
A phase fundamental reactive current Cleaning Principles as shown in figure 1, in figure, θeIt is the phase letter synchronous with power network A phase voltages
Number, i.e. θe=ω t,Respectively abc coordinates are tied to fundamental positive sequence SRF coordinate systems and fundamental wave negative sequence SRF coordinates
The transformation matrix of system；Respectively fundamental positive sequence SRF coordinate systems and fundamental wave negative sequence SRF coordinates is tied to abc coordinates
The transformation matrix of system；C0、Respectively zero-sequence current transformation matrix：
Step one, positive-sequence component detection
WithThe three-phase current positive and negative sequence component that formula (3) and (4) represent is transformed into fundamental positive sequence SRF coordinates
In system, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (14) d axle componentsIt is zero, with transformation matrixFormula (14) matrixing to three-phase abc is sat
In mark system, three-phase fundamental positive sequence reactive current can be obtained
Step 2, negative sequence component detection
WithThe three-phase current positive and negative sequence component that formula (3) and (4) represent is transformed into fundamental wave negative sequence SRF coordinates
In system, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (18) d axle componentsIt is zero, with transformation matrixFormula (18) is transformed into three-phase abc coordinate systems
In, three-phase fundamental wave negative sequence q shaft currents can be obtained, it is defined as
Step 3, zero-sequence component
With transformation matrix C0To formula (6) i0Enter line translation：
The AC compounent on equivalent dq axles is filtered with LPF, DC quantity on equivalent dq axles is obtained：
Make I0d1It is zero, with formula (11)Conversion solves fundamental wave zero sequence reactive current：
According to formula (15), (19, (22), obtain A phase arbitrary load electric currents fundamental reactive current：
As can be seen here, the A phase Detecting Reactive Current principles shown in Fig. 1 can be further simplified as shown in Figure 2.
The detection of B phase fundamental reactive currents
Implement Detecting Reactive Current process on the basis of B phases, specific implementation process is analyzed as follows：
The arbitrary load electric current i that formula (2) is representeda、ib、icIt is i to resequenceb、ic、ia：
Correspondingly, positive-negative sequence current is：
With B phase line voltages as synchronizing datum signal, i.e. θe=ω t-120 °.Now, related positive-negative sequence and zero-sequence current
Transformation matrix accordingly develops into：
Step one, positive-sequence component detection
With formula (27) matrixThe three-phase current component that formula (25) and (26) represent is transformed into fundamental positive sequence SRF
In coordinate system, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (34) d axle componentsIt is zero, with formula (28) transformation matrixBy formula (34) matrixing to three-phase
In abc coordinate systems, three-phase fundamental positive sequence reactive current can be obtained
Step 2, negative sequence component detection
With formula (29) transformation matrixThe three-phase current component that formula (25) and (26) represent is transformed into fundamental wave to bear
In sequence SRF coordinate systems, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (38) d axle componentsIt is zero, with formula (30) transformation matrixBy formula (38) matrixing to three-phase
In abc coordinate systems, three-phase fundamental wave negative sequence q shaft currents can be obtained, be defined as
(3) zero-sequence component detection
With formula (31) transformation matrix C0To i0Enter line translation：
The AC compounent on equivalent dq axles is filtered with LPF, DC quantity on equivalent dq axles is obtained：
Make I0d1It is zero, with formula (31)Conversion solves fundamental wave zero sequence reactive current：
According to formula (35), formula (39), formula (42), the fundamental reactive current of B phase arbitrary load electric currents is obtained：
Above-mentioned B phases fundamental reactive current Cleaning Principle and its simplified pinciple difference are as shown in Figure 3,4.
The detection of C phase fundamental reactive currents
Similarly, C phase fundamental reactive currents correctly to be detected, it is necessary to implement Detecting Reactive Current process, tool on the basis of C phases
Body implementation process is analyzed as follows：
The arbitrary load electric current i that formula (2) is representeda、ib、icIt is i to resequencec、ia、ib：
Correspondingly, positive and negative sequence electric current is：
With C phase line voltages as synchronizing datum signal, i.e. θe=ω t+120 °.Now, related positive-negative sequence and zero-sequence current
Transformation matrix accordingly develops into：
Step one, positive-sequence component detection
With formula (47) matrixThe three-phase current component that formula (45) and (46) represent is transformed into fundamental positive sequence SRF
In coordinate system, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (54) d axle componentsIt is zero, with formula (48) transformation matrixBy formula (54) matrixing to three-phase
In abc coordinate systems, three-phase fundamental positive sequence reactive current can be obtained
Step 2, negative sequence component
With formula (49) transformation matrixThe three-phase current component that formula (45) and (46) represent is transformed into fundamental wave to bear
In sequence SRF coordinate systems, can obtain：
The AC compounent on dq axles is filtered with LPF, you can obtain DC quantity on dq axles：
Make formula (58) d axle componentsIt is zero, with formula (3-50) transformation matrixBy formula (58) matrixing to three
In phase abc coordinate systems, three-phase fundamental wave negative sequence q shaft currents can be obtained, be defined as
Step 3, zero-sequence component
With formula (51) transformation matrix C0To formula i0Enter line translation：
The AC compounent on equivalent dq axles is filtered with LPF, DC quantity on equivalent dq axles is obtained：
Make I0d1It is zero, with formula (51)Conversion solves fundamental wave zero sequence reactive current：
According to formula (55), formula (59), formula (62), the fundamental reactive current of C phase arbitrary load electric currents is obtained：
Above-mentioned C phases fundamental reactive current Cleaning Principle and its simplified pinciple difference are as shown in Figure 5,6.
Three-phase four-wire system imbalance Several Typical Load further verifies the correctness of the above method.
Three-phase four-wire system unbalanced load sets：A phases, B are in series ohmic load, and C phases are opened a way, as shown in Figure 7.
In figure, R is ohmic load；ea、eb、ecIt is system three-phase voltage, defines same formula (1), is represented in the form of vector
For：
Then according to Fig. 7, threephase load current phasor can be expressed as：
In formula, current phasor amplitude I=E/R.
Fig. 8 is voltage x current polar plot, it is clear that A phases reactive current, B phases reactive current and C phase reactive currents are all
Zero, I is set to successivelyaq、Ibq、Icq。
Separately below according to Detecting Reactive Current principle of the present invention, new fundamental wave reactive power is carried with symmetrical component method checking
The correctness of electric current detecting method.Symmetrical component method is defined as follows：
In formula, 120 ° of α=1 ∠ is complex operator；I+、I-、I0Respectively positive sequence, negative phase-sequence and zero-sequence current.
Can also be showed with symmetrical component method according to formula (66) without balanced loaded three-phase current vector：
Represent that threephase load is active, reactive current component in subscript p, q form, then formula (67) is represented and is transformed to：
(1) A phases reactive current is calculated
With A phase voltages as reference data, positive sequence, negative phase-sequence and zero-sequence current are calculated according to formula (66) respectively：
Define advanced EaVector axle be q axles, I is calculated respectively+、I-、I0Projection on q axles, is defined as successivelyI0q, reference picture 9, then：
Then according to formula (68)~formula (70), can obtain A fundamental reactive currents is：
Formula (69) meets the reactive current conclusion of Several Typical Load shown in Fig. 8, demonstrates the correct of A phase Detecting Reactive Currents
Property.
For the detection of B phases and C phase reactive currents, if what lower surface analysis can obtain still on the basis of A phase voltages
As a result
Can be obtained according to formula (68)~formula (70)：
Obviously, the B phases of the conclusion and Several Typical Load shown in Fig. 8, the conclusion that C phase reactive currents are zero are not corresponded, corresponding arrow
Spirogram is as shown in Figure 10.
It is for for A phase currents, the detection of fundamental reactive current can be by three-phase fundamental positive sequence, negative phase-sequence and zero sequence electricity
The corresponding three AC compounents superposition of q axis channels of stream is obtained.And for B phases and C phase currents, reactive current does not exist simultaneously
The direct overlaying relation of above three component.
(2) B phases reactive current is calculated
Lower surface analysis detects B phase fundamental reactive currents on the basis of B phase voltages.
For easy analysis, by 120 degree of the rotate counterclockwise of three-phase voltage current polar plot shown in Fig. 8, as shown in figure 11.
Based on Figure 11, defining postrotational three-phase voltage current vector is：
Then, threephase load current phasor can be expressed as：
Also, order components transformation for mula develops into：
According to formula (72), positive sequence, negative phase-sequence and zero-sequence current are calculated respectively：
Define advanced EbVector axle be q axles, I is calculated respectively+、I-、I0Projection on q axles, is defined as successivelyI0q, reference picture 12, then：
Unbalanced load three-phase current vector is showed with symmetrical component method, B phases are only represented here：
Ib=I++I-+I0 (75)
Similarly, represent that threephase load is active, reactive current component in subscript p, q form, then formula (75) is represented and is transformed to：
Convolution (74), formula (76), can obtain：
Formula (77) meets the reactive current conclusion of Several Typical Load shown in Fig. 8, demonstrates the correct of B phase Detecting Reactive Currents
Property.
(3) C phases reactive current is calculated
According to Detecting Reactive Current principle of the present invention, analysis detects C phase fundamental reactive currents on the basis of C phase voltages.
Three-phase voltage current polar plot shown in Fig. 8 is turned clockwise 120 degree, as shown in figure 13.
Based on Figure 13, postrotational three-phase voltage current vector phase is transformed to：
Then, threephase load current phasor can be expressed as：
Also, order components transformation for mula develops into：
According to formula (80), positive sequence, negative phase-sequence and zero-sequence current are calculated respectively：
Define advanced EcThe vector axle of 90 ° of phase is q axles, and I is calculated respectively+、I-、I0Projection on q axles, defines successively
ForI0q, reference picture 14, then：
According to formula (80), asymmetric system C current vectors are showed with symmetrical component method：
Ic=I++I-+I0 (83)
Similarly, represent that threephase load is active, reactive current component in subscript p, q form, then formula (83) is represented and is transformed to：
Convolution (81), formula (84), can obtain：
Formula (85) meets the reactive current conclusion of Several Typical Load shown in Fig. 8, demonstrates the correct of C phase Detecting Reactive Currents
Property.
General principle of the invention, principal character and advantage has been shown and described above.The technical staff of the industry should
Understand, the present invention is not limited to the above embodiments, simply original of the invention is illustrated described in above-described embodiment and specification
Reason, without departing from the spirit and scope of the present invention, various changes and modifications of the present invention are possible, these changes and improvements
All fall within the protetion scope of the claimed invention.The claimed scope of the invention is by appending claims and its equivalent circle.
It is fixed.
Claims (1)
1. a kind of Fast reactive current synchronous based on voltage reference split-phase, it is characterised in that including the idle electricity of A phases
Stream detection, B phases Detecting Reactive Current and C phase Detecting Reactive Currents,
Wherein, the A phases Detecting Reactive Current is comprised the following steps：
(1) it is i to define three-phase arbitrary load current matrix：
Wherein：
The zero-sequence current for defining three-phase arbitrary load is i0:
(2) with A phase line voltages as synchronizing datum signal, positive sequence transformation matrix is definedNegative phase-sequence transformation matrixWith zero
Sequence transformation matrix C0For：
(3) useThree-phase current i in abc coordinate systems is transformed into fundamental positive sequence synchronous rotating frame
In (Synchronous Rotating Frame, SRF), current definition is on fundamental positive sequence SRF after conversion
Wherein：
With low pass filter (Low Pass Filter, LPF), filterIn of ac, obtainIn DC quantity, by this
DC quantity is defined as
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, fundamental wave negative sequence SRF after conversion
Upper current definition is
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity, the DC quantity is defined as
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity, the DC quantity is defined as I0q1：
(6) A phase reactive currents are calculated
The B phases Detecting Reactive Current is comprised the following steps：
(1) it is by threephase load electric current i rearrangements：
(2) with B phase line voltages as synchronizing datum signal, positive sequence transformation matrixNegative phase-sequence transformation matrixAnd zero sequence
Transformation matrix C0Develop into：
(3) useDuring three-phase current i in abc coordinate systems transformed into fundamental positive sequence SRF, obtain
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, electric current is obtained
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity I0q1：
(6) B phase reactive currents are calculated
The C phases Detecting Reactive Current is comprised the following steps：
(1) it is by threephase load electric current i rearrangements：
(2) with C phase line voltages as synchronizing datum signal, positive sequence transformation matrixNegative phase-sequence transformation matrixBecome with zero sequence
Change Matrix C0Develop into：
(3) useDuring three-phase current i in abc coordinate systems transformed into fundamental positive sequence SRF, obtain
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(4) useDuring three-phase current i in abc coordinate systems transformed into fundamental wave negative sequence SRF, electric current is obtained
Wherein：
Filtered with LPFIn of ac, obtainIn DC quantity
(5) C is used0To i0Convert, obtain：
I is filtered with LPF0qIn of ac, obtain i0qIn DC quantity I0q1：
(6) C phase reactive currents are calculated
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