CN112787492B - MMC half-bridge submodule capacitor voltage ripple multi-scale inhibition method - Google Patents
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/483—Converters with outputs that each can have more than two voltages levels
- H02M7/4833—Capacitor voltage balancing
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/483—Converters with outputs that each can have more than two voltages levels
- H02M7/4835—Converters with outputs that each can have more than two voltages levels comprising two or more cells, each including a switchable capacitor, the capacitors having a nominal charge voltage which corresponds to a given fraction of the input voltage, and the capacitors being selectively connected in series to determine the instantaneous output voltage
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
- H02M1/14—Arrangements for reducing ripples from dc input or output
- H02M1/15—Arrangements for reducing ripples from dc input or output using active elements
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
- Y02E60/60—Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]
Abstract
A multi-scale inhibition method for MMC half-bridge submodule capacitor voltage ripples includes the steps of firstly collecting three-phase voltage signals and current signals u on an alternating current side sj 、i sj Three-phase upper and lower bridge arm current signal i pj 、i nj Dc bus voltageSignal u dc Calculating to obtain the instantaneous power P of the upper and lower bridge arms pj 、P nj The sum of instantaneous power of the upper and lower bridge arms is controlled to zero to obtain a circulation injection valueBy modulating function s for upper and lower arms pj And s nj The derivative is calculated and is equal to 0, and the time t corresponding to the peak value of the modulation wave is obtained max And m 3 、φ 3 And the optimal injected third harmonic is obtained by taking the sum of the maximum value of the modulation ratio and the number of submodules input by the upper bridge arm and the lower bridge arm at t time as a constraint condition. Through the cooperation of the two injection modes, the direct-current voltage utilization rate of the MMC can be effectively improved, and the modulation wave peak value of the system is ensured not to be increased due to circulation injection, so that a better capacitor voltage fluctuation suppression effect is achieved.
Description
Technical Field
The invention relates to the field of direct-current power transmission control, in particular to a multi-scale suppression method for a capacitor voltage ripple of an MMC half-bridge submodule.
Background
The flexible direct-current power transmission technology based on the MMC (modular Multilevel converter) becomes an effective solution for sending out high-capacity open-sea wind power by virtue of the advantages of flexible controllability, good stability, convenience in regional interconnection, modular structural characteristics, low loss and the like. The MMC converter valve is used as core equipment of a flexible direct-current power transmission technology, and the capacity and the voltage grade of the MMC converter valve are continuously improved along with the engineering requirements, so that the weight, the occupied area and the manufacturing cost of the MMC converter valve are greatly increased. And the volume and weight of the capacitor in the MMC half-bridge submodule accounts for 60% of the whole submodule. Therefore, the purposes of reducing the capacitance parameter and reducing the volume, the weight and the manufacturing cost of the MMC converter valve are achieved by restraining the ripple amplitude of the voltage of the capacitor, and the MMC converter valve is very feasible. At present, scholars at home and abroad have performed relevant research on reducing the ripple amplitude of the capacitance voltage of the half-bridge submodule capacitor of the MMC, such as the following published documents:
(1)J.Pou,S.Ceballos,G.Konstantinou,V.G.Agelidis,et al.Circulating current injection methods based on instantaneous information for the modular multilevel converter[J].IEEE Trans.Ind.Electron.,2015,62(2):777–788.
the reference researches different circulation reference values of the MMC, and provides a circulation injection controller based on an output current instantaneous value and a modulation signal, and the controller can accurately adjust a capacitor voltage mean value to the reference value, balance energy between an upper arm and a lower arm and further reduce fluctuation of the capacitor voltage of the MMC.
(2) Lekay, zhao, yuan lian qiang, et al energy balance based reduction modular multilevel converter [ J ] electrotechnical report, 2017,32(14):17-26.
From the perspective of energy balance, the document proposes an energy balance control strategy for injecting double-frequency circulation based on a control period, wherein the strategy reduces voltage fluctuation by minimizing energy fluctuation of a bridge arm through online control, avoids a complicated parameter setting process, and is realized by injecting negative-sequence double-frequency circulation substantially.
(3)Y.Xu,Z.Xu,Z.Zhang,et al.A Novel Circulating Current Controller for MMC Capacitor Voltage Fluctuation Suppression[J].IEEE Access,2019,7:120141-120151.
Aiming at the problem of MMC capacitor voltage fluctuation, the document provides a controller for eliminating the second harmonic of the capacitor voltage, and the controller consists of an inner ring controller and an outer ring controller. The outer loop controller is used for determining a reference value of the loop current, and the inner loop controller is responsible for controlling the loop current to the reference value. The double frequency fluctuation component of the capacitor voltage can be controlled to be zero by the cooperation of the inner ring control and the outer ring control, and the fluctuation of the capacitor voltage is obviously reduced.
Although the above documents suppress the capacitance voltage fluctuation by different ways and different controllers, the above documents essentially inject a circulating current into the MMC bridge arm. The circulation injection adds double-frequency circulation voltage on the modulation wave, which increases the peak value of the modulation wave, and the modulation ratio needs to be reduced to ensure that the conduction number of the sub-modules does not exceed the maximum value, but the reduction of the modulation ratio can influence the effect of the circulation injection on the suppression of the fluctuation of the capacitance voltage.
Disclosure of Invention
The invention aims to solve the technical problem of providing a multi-scale inhibition method for MMC half-bridge submodule capacitor voltage ripples, which effectively improves the direct-current voltage utilization rate of an MMC through the cooperation of two injection modes on the basis of not increasing hardware, ensures that the modulation wave peak value of a system is not increased due to circulation injection, achieves a better inhibition effect on capacitor voltage fluctuation, and optimizes the amplitude and phase of required third harmonic waves by taking the sum of the number of input submodules and the maximum value of the modulation ratio as constraint conditions according to the amplitude and phase of circulation injection.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
the utility model provides a MMC half-bridge submodule piece electric capacity voltage ripple multiscale inhibition method, pours into and the cooperation of third harmonic injection through the circulation, optimizes MMC's operating performance, reduces the submodule piece electric capacity voltage when MMC moves to reduce the demand of converter valve to submodule piece electric capacity, includes following step:
StepA, control of loop injection;
StepA1, collecting three-phase voltage signals and current signals u on alternating current side sj 、i sj Three-phase upper and lower bridge arm current signal i pj 、i nj D.c. bus voltage signal u dc Wherein j is a, b, c;
StepA2, circulating current i from StepA1 cj Three-phase current i sj And upper and lower bridge armsCurrent i pj 、i nj The relationship between them is as follows:
StepA3, obtaining instantaneous power P of upper and lower bridge arms according to StepA2 pj 、P nj The expression of (a) is as follows:
wherein m is 1 =2U s /u dc The fundamental wave modulation ratio of j phase voltage; u shape s Modulating the amplitude of the wave for the fundamental wave; omega s Is the synchronous electrical angular velocity;
StepA4 according to instantaneous power P of upper and lower bridge arms in StepA3 pj 、P nj The sum of the instantaneous power of the upper and lower bridge arms is controlled to zero, i.e. P j =P Pj +P nj 0, thereby obtaining a circulating current injection value
Wherein, I sj The magnitude of the j-phase current; phi is a 1 Is the current phase;
StepA5, i calculated from StepA2 and StepA4 cj Andrespectively transmitting to a circulation control link, and obtaining an additional control voltage signal for circulation injection control by adopting a proportional-integral-resonance (PIR) controller
Optimizing the amplitude and the phase of StepB and third harmonic, and optimizing the amplitude and the phase of the third harmonic according to the circulation injection control;
StepB1, circumfluence injection according to StepA5Injecting circulating current and generated voltage u by using kirchhoff voltage law, j-phase bridge arm cL The relationship between can be expressed as:
wherein L is arm Is bridge arm inductance, R 0 Is a bridge arm resistance;
StepB2, modulation function s of j-phase upper and lower bridge arms according to StepB1 and circulation injection and third harmonic injection strategies pj And s nj Can be expressed as:
wherein m is 3 =2U s3 /u dc The modulation ratio is the modulation ratio of the third harmonic modulation wave; phi is a 3 Is the phase of the third harmonic; u shape s3 Third harmonic voltage amplitude;
StepB3 for modulation function s in StepB2 pj And s nj The derivative is calculated and is equal to 0, and the time t corresponding to the peak value of the modulation wave is obtained max And m 3 、φ 3 The functional relationship between them, namely: t is t max =f(m 3 ,φ 3 );
StepB4, combining StepB3, and obtaining the optimal amplitude U of the third harmonic by taking the maximum value of the modulation ratio and the sum of the numbers of the sub-modules input by the upper bridge arm and the lower bridge arm at t time as constraint conditions s3_opt And phase phi 3_opt ;
StepB5, according to StepB4, obtained the optimally injected third harmonic.
Additional control Voltage for Loop injection control in StepA5 described aboveSignalThe expression is as follows:
wherein k is p 、k i And k r Proportional coefficient, integral coefficient and resonance coefficient of the PIR controller respectively; omega c Is the cut-off angular frequency of the PIR controller; omega 0 Is the fundamental angular frequency; omega e The cut-off angular frequency of a first order low pass filter.
The constraints in StepB4 above are as follows:
wherein: u shape s_max (t) is the peak value of the modulated wave; round () is rounding the value in parentheses; u shape c The set average value of the capacitance voltage of the MMC sub-module is obtained; n is the maximum value of j-phase input total module number; m is the maximum modulation ratio, the phase of the injected third harmonic can be adjusted through the constraint condition, the amplitude of the injected third harmonic of the total number of modules which are injected when the modulation wave reaches the peak value is ensured to be the minimum, the amplitude of the injected third harmonic is enabled to be the minimum, and the total number of modules which are injected in the j phase can be ensured not to exceed the maximum value under the condition of the peak value of the modulation wave.
In StepB5 above, the optimum injected third harmonic is obtained as:
according to the MMC half-bridge submodule capacitor voltage ripple multi-scale inhibition method provided by the invention, the direct-current voltage utilization rate of the MMC can be effectively improved through the cooperation of two injection modes, and the modulation wave peak value of the system is ensured not to be increased due to circulation injection, so that a better capacitor voltage fluctuation inhibition effect is achieved. In addition, the method has important significance for reducing the capacitance value of the sub-module of the converter valve and realizing the light weight of the converter valve.
Drawings
The invention is further illustrated by the following examples in conjunction with the accompanying drawings:
FIG. 1 is a block diagram of a half-bridge submodule of an MMC of the present invention;
FIG. 2 is an MMC topology diagram;
FIG. 3 is a block diagram of multi-scale capacitor voltage ripple rejection;
FIG. 4 is a simulated comparison of a loop injection control strategy and a multi-scale control strategy.
Detailed Description
The technical scheme of the invention is explained in detail in the following by combining the drawings and the embodiment.
As shown in fig. 1-3, a method for suppressing a ripple of a half-bridge submodule capacitor voltage of an MMC in a multi-scale manner optimizes the operation performance of the MMC by the cooperation of circulation injection and third harmonic injection, and reduces the voltage of the submodule capacitor when the MMC operates, thereby reducing the requirement of a converter valve on the capacitance capacity of the submodule, the method comprising the following steps:
StepA, control of loop injection;
StepA1, collecting three-phase voltage signal and current signal u on AC side sj 、i sj Three-phase upper and lower bridge arm current signal i pj 、i nj D.c. bus voltage signal u dc Wherein j is a, b, c;
StepA2, circulating Current i from StepA1 cj Three-phase current i sj And upper and lower bridge arm currents i pj 、i nj The relationship between them is as follows:
StepA3, obtaining instantaneous power P of upper and lower bridge arms according to StepA2 pj 、P nj The expression of (a) is as follows:
wherein m is 1 =2U s /u dc The fundamental wave modulation ratio of j phase voltage; u shape s Modulating the amplitude of the wave for the fundamental wave; omega s Is the synchronous electrical angular velocity;
StepA4, according to StepA3, to reduce the fluctuation of the sub-module capacitor voltage, the sum of the instantaneous power of the upper and lower bridge arms is controlled to zero, i.e. P j =P Pj +P nj And (5) obtaining a circulation reference value calculation expression:
wherein, I sj The magnitude of the j-phase current; phi is a 1 Is the current phase;
StepA5, i calculated from StepA2 and StepA4 cj Andrespectively transmitting to a circulation control link, and obtaining an additional control voltage signal for circulation injection control by adopting a proportional-integral-resonance (PIR) controller according to the following formula
Wherein k is p 、k i And k r Proportional coefficient, integral coefficient and resonance coefficient of the PIR controller respectively; omega c Is the cut-off angular frequency of the PIR controller; omega 0 Is the fundamental angular frequency; omega e Is the cut-off angle frequency of the first-order low-pass filter;
amplitude and phase optimization of StepB and third harmonic: considering that after the MMC is added with the circulation injection control, the peak value of a modulation wave is increased, the waveform is distorted, in order to fully improve the utilization rate of direct-current voltage and increase the operation margin of the MMC, the amplitude and the phase of injected third harmonic waves need to be optimized according to the circulation injection control, and the method specifically comprises the following steps:
StepB1, circumfluence injection according to StepA5Injecting circulating current and generated voltage u by using kirchhoff voltage law, j-phase bridge arm cL The relationship between can be expressed as:
wherein L is arm Is bridge arm inductance, R 0 Is a bridge arm resistance;
StepB2, according to StepB1, after considering the circular current injection strategy and the third harmonic injection strategy, the modulation function s of the j-phase upper and lower bridge arms pj And s nj Can be expressed as:
wherein m is 3 =2U s3 /u dc The modulation ratio is the modulation ratio of the third harmonic modulation wave; phi is a 3 Is the phase of the third harmonic; u shape s3 Third harmonic voltage amplitude;
StepB3 for modulation function s in StepB2 pj And s nj The derivative is calculated and is equal to 0, and the time t corresponding to the peak value of the modulation wave is obtained max And m 3 、φ 3 The functional relationship between them, namely: t is t max =f(m 3 ,φ 3 );
StepB4, combining StepB3, and obtaining the optimal amplitude U of the third harmonic by taking the maximum value of the modulation ratio and the sum of the numbers of the sub-modules input by the upper bridge arm and the lower bridge arm at t time as constraint conditions s3_opt And phase phi 3_opt The constraint conditions are as follows;
wherein: u shape s_max (t) is the peak value of the modulated wave; round () is rounding the value in parentheses; u shape c The set average value of the capacitance voltage of the MMC sub-module is obtained; n is the maximum value of j-phase input total module number; m is the maximum modulation ratio, the phase of the injected third harmonic can be adjusted through the constraint condition, the amplitude of the injected third harmonic of the total number of modules which are injected when the modulation wave reaches the peak value is ensured to be the minimum, the amplitude of the injected third harmonic is enabled to be the minimum, and the total number of modules which are injected in the j phase can be ensured not to exceed the maximum value under the condition of the peak value of the modulation wave.
StepB5, according to StepB4, the optimally injected third harmonic is obtained, namely:
as shown in fig. 4, fig. 4(a) is a waveform of a modulation wave when only a circulation flow is injected, fig. 4(b) is a waveform of a modulation wave when multi-time scale control is adopted, and it can be seen from the figure that the peak value of the modulation wave caused by circulation flow injection can be effectively reduced by adopting the control strategy provided by the present invention, fig. 4(c) is a waveform of a sub-module capacitor voltage when only a circulation flow is injected, and fig. 4(d) is a waveform of a sub-module capacitor voltage when multi-time scale control is adopted, and it can be seen from the figure that the sub-module capacitor voltage fluctuation can be more effectively suppressed by adopting the control strategy provided by the present invention.
Claims (4)
1. The utility model provides a MMC half-bridge submodule piece electric capacity voltage ripple multiscale inhibition method which characterized in that, through circulation injection and the cooperation of third harmonic injection, optimizes the operating performance of MMC, reduces submodule piece electric capacity voltage when MMC moves to reduce the demand of converter valve to submodule piece electric capacity, include following step:
StepA, control of loop injection;
StepA1, collecting three-phase voltage signals and current signals u on alternating current side sj 、i sj Three-phase upper and lower bridge arm current signal i pj 、i nj D.c. bus voltage signal u dc Wherein j is a, b, c;
StepA2, circulating Current i from StepA1 cj Three-phase current i sj And upper and lower bridge arm currents i pj 、i nj The relationship between them is as follows:
StepA3, obtaining instantaneous power P of upper and lower bridge arms according to StepA2 pj 、P nj The expression of (a) is as follows:
wherein m is 1 =2U s /u dc The fundamental wave modulation ratio of j phase voltage; u shape s Modulating the amplitude of the wave for the fundamental wave; omega s Is the synchronous electrical angular velocity;
StepA4 according to instantaneous power P of upper and lower bridge arms in StepA3 pj 、P nj The sum of the instantaneous power of the upper and lower bridge arms is controlled to zero, i.e. P j =P p j +P nj 0, thereby obtaining a circulating current injection value
Wherein, I sj The magnitude of the j-phase current; phi is a 1 Is the current phase;
StepA5, i calculated from StepA2 and StepA4 cj Andrespectively conveying to a circulation control link by adopting proportion-integral-a resonant (PIR) controller deriving an additional control voltage signal for loop injection control
Optimizing the amplitude and the phase of StepB and third harmonic, and optimizing the amplitude and the phase of the third harmonic according to the circulation injection control;
StepB1, circumfluence injection according to StepA5Injecting circulating current and generated voltage u by using kirchhoff voltage law and j-phase bridge arm cL The relationship between can be expressed as:
wherein L is arm Is bridge arm inductance, R 0 Is a bridge arm resistance;
StepB2, StepB1, modulation function s of j-phase upper and lower bridge arms according to circulating current injection and third harmonic injection strategies pj And s nj Can be expressed as:
wherein m is 3 =2U s3 /u dc The modulation ratio is the modulation ratio of the third harmonic modulation wave; phi is a 3 Is the phase of the third harmonic; u shape s3 Third harmonic voltage amplitude;
StepB3 for modulation function s in StepB2 pj And s nj The derivative is calculated and is equal to 0, and the time t corresponding to the peak value of the modulation wave is obtained max And m 3 、φ 3 The functional relationship between them, namely: t is t max =f(m 3 ,φ 3 );
StepB4, combination StepB2 and StepB3, for modulating the maximum value of the ratio and t time points up and downThe sum of the number of the submodules input by the bridge arm is a constraint condition to obtain the optimal amplitude U of the third harmonic s3_opt And phase phi 3_opt ;
StepB5, according to StepB4, obtained the optimally injected third harmonic.
2. The MMC half-bridge submodule capacitor voltage ripple multi-scale suppression method of claim 1, wherein in StepA5, an additional control voltage signal for loop injection controlThe expression is as follows:
wherein k is p 、k i And k r Proportional coefficient, integral coefficient and resonance coefficient of PIR controller; omega c Is the cut-off angular frequency of the PIR controller; omega 0 Is the fundamental angular frequency; omega e The cut-off angular frequency of a first order low pass filter.
3. The MMC half-bridge submodule capacitor voltage ripple multi-scale suppression method of claim 2, wherein the constraints in StepB4 are as follows:
wherein: u shape s_max (t) is the peak value of the modulated wave; round () is rounding the value in parentheses; u shape c The set average value of the capacitance voltage of the MMC sub-module is obtained; n is the maximum value of j-phase input total module number; m is the maximum modulation ratio.
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