CN108258891A - The method and apparatus of resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition - Google Patents

The method and apparatus of resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition Download PDF

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Publication number
CN108258891A
CN108258891A CN201611234824.0A CN201611234824A CN108258891A CN 108258891 A CN108258891 A CN 108258891A CN 201611234824 A CN201611234824 A CN 201611234824A CN 108258891 A CN108258891 A CN 108258891A
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mmc
hvdc
resistance
virtual resistance
current
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CN108258891B (en
Inventor
吴广禄
彭红英
张星
徐得超
穆清
陈绪江
孙丽香
刘敏
王峰
林因
吴丹岳
黄道姗
黄霆
刘智煖
苏清梅
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
Electric Power Research Institute of State Grid Fujian Electric Power Co Ltd
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
Electric Power Research Institute of State Grid Fujian Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS 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
    • H02M1/00Details of apparatus for conversion
    • H02M1/14Arrangements for reducing ripples from dc input or output
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • H02J2003/365Reducing harmonics or oscillations in HVDC
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/60Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)

Abstract

The method and apparatus that the present invention provides resonance between a kind of end-to-end MMC HVDC DC sides station of inhibition, method include:DC current wave component is extracted from DC current, and determines that MMC HVDC DC sides introduce the resistance value of virtual resistance;The voltage drop component of virtual resistance is determined according to the resistance value of the DC current wave component of extraction and virtual resistance;According to the voltage drop component of virtual resistance determine introduce virtual resistance after MMC bridge arm reference voltages.The present invention can inhibit the generation of MMC HVDC DC side current resonances in the case where not increasing excess loss, reduce the possibility that MMC HVDC DC sides failure occurs, therefore can improve the utilization ratio of voltage source converter, cost-effective;Because the equivalent position of virtual resistance also has inhibiting effect on bridge arm, to station interior resonance;Mainly realized by improving the top level control of MMC, it is easy to implement.

Description

The method and apparatus of resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition
Technical field
The invention belongs to power electronics fields, and in particular to humorous between a kind of end-to-end MMC-HVDC DC sides station of inhibition The method and apparatus shaken.
Background technology
Although the direct current based on modularization multi-level converter (Modular Multilevel Converter, MMC) is defeated Electricity (Modular Multilevel Converter based High Voltage Direct Current Transmission, MMC-HVDC) considered when main circuit parameter designs MMC-HVDC station in and station between resonance characteristic, The possibility that resonance occurs at fundamental frequency and harmonics frequency for MMC-HVDC is avoided in main circuit parameter selection, but it is straight The equivalent resistance, capacitance, inductance series loop for flowing side still have intrinsic resonant frequency, so in MMC-HVDC stations and between station It is possible that at non-fundamental frequency, non-MMC harmonics frequency, resonance as follows occurs in synchronization frequency range.Work as DC voltage Fluctuate Δ VdcIn a certain vibration frequency and MMC-HVDC DC sides equivalent resistance, capacitance, inductance series loop natural resonance When frequency overlaps, which will become the driving source of MMC-HVDC DC side resonance, excite end-to-end MMC-HVDC straight Resonance between stream side station.MMC-HVDC DC sides resonance current can increase system loss, and be likely to result in MMC lockings and even stop Fortune.
The topology of modularization multi-level converter and flexible DC power transmission based on MMC as shown in figure 1 and 2, attached drawing 1 In, L1、L2Respectively AC system 1,2 equivalent inductance of AC system, Ls1、Ls2The flat wave inductance of outlet of respectively MMC1, MMC2. From two level converters using DC side centralization capacitance topology it is different, MMC using discrete capacitance structure, such as attached drawing, 2 It is shown, capacitance is placed in each submodule of three-phase upper and lower bridge arm.Any moment, per the submodule of phase upper and lower bridge arm input The sum of block number meshVdcNFor DC voltage rated value, VsmNFor submodule voltage rating.It is derived according to the conservation of energy Obtain the equivalent capacity of each phase elements of MMC (bridge arm, lower bridge arm are referred to as phase element on per phase)CsmFor submodule Capacitance.
The control system of MMC includes master control, valve control two parts, and master control includes outer shroud control, inner ring current control, circulation press down System, negative-sequence current inhibit, bridge arm reference voltage generation module, and valve control is including nearest level approaches modulation algorithm, capacitance voltage is put down Method is accounted, as shown in Figure 3.
End-to-end MMC-HVDC DC sides equivalent circuit and LC resonance circuit as shown in Figure 3, R in figureeq1、Req2Respectively The bridge arm loss equivalent resistance of MMC1, MMC2;Larm1、Larm2The respectively bridge arm inductance of MMC1, MMC2;Ls1、Ls2Respectively The flat wave inductance of outlet of MMC1, MMC2;Rline、LlineThe respectively equivalent resistance and equivalent inductance of circuit;Cjpeq1、Cjneq1Respectively For bridge arm on MMC1 and the equivalent capacity of lower bridge arm, Cjpeq2、Cjneq2(j=a, b, c) is respectively bridge arm and lower bridge arm on MMC2 Equivalent capacity, and meet Csm1、 Csm2The respectively submodule capacitance of MMC1, MMC2.
There are multiple RLC resonant tanks for MMC-HVDC DC sides.In engineering in the main circuit parameter for selecting MMC, to keep away Exempt to occur at fundamental frequency and MMC harmonics frequencies in MMC stations or resonance is principle between MMC stations.Assuming that phase element is put into Submodule number for N, overtone order n, then main circuit parameter meetsI=1,2 ... ..., ω0 For fundamental wave angular frequency.MMC-HVDC station between resonance equivalent circuit as shown in Figure 5.Dotted line loop circuit representation station with the arrow in attached drawing 5 Between resonant tank, Req、Leq、CeqRespectively MMC-HVDC introduces DC side equivalent resistance, equivalent inductance, equivalent capacity before virtual resistance. ΔVdcIt fluctuates, has for MMC-HVDC DC voltagesIt is humorous between standing in order to avoid MMC It shakes, main circuit parameter needs to meet It is n for angular frequency in MMC-HVDC DC sidesiω0Voltage fluctuation amplitude, niFor DC voltage vibration frequency and base The ratio of wave frequency rate,It is n for DC side angular frequencyiω0Voltage fluctuation phase.
Invention content
In order to overcome the above-mentioned deficiencies of the prior art, between a kind of end-to-end MMC-HVDC DC sides station of inhibition of present invention offer The method and apparatus of resonance by introducing the voltage drop component of virtual resistance in MMC bridge arm reference voltages, increase MMC-HVDC DC side equivalent resistance reduces the amplitude of MMC-HVDC DC side resonance currents, inhibits end-to-end MMC-HVDC straight so as to reach The purpose of resonance between stream side station.
In order to achieve the above-mentioned object of the invention, the present invention adopts the following technical scheme that:
The method that the present invention provides resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition, the method includes:
DC current wave component is extracted from DC current, and determines that MMC-HVDC DC sides introduce the resistance of virtual resistance Value;
The voltage drop component of virtual resistance is determined according to the resistance value of the DC current wave component of extraction and virtual resistance;
According to the voltage drop component of virtual resistance determine introduce virtual resistance after MMC bridge arm reference voltages.
The DC current wave component that extracted from DC current includes:
If DC current is idc, according to idcThe DC component of DC current is calculated, is had:
idc0=average (idc) (1)
Wherein, idc0For the DC component of DC current, average () is average window filter function;
If DC current wave component isIt is expressed as:
The resistance value that the determining MMC DC sides introduce virtual resistance includes:
End-to-end MMC-HVDC DC sides equiva lent impedance Z can be obtained according to end-to-end MMC-HVDC DC sides equivalent circuiteq (n), it is expressed as:
Wherein, n is overtone order, ω0For fundamental wave angular frequency, Req1、Req2The bridge arm loss of respectively MMC1, MMC2 are equivalent Resistance, Larm1、Larm2The respectively bridge arm inductance of MMC1, MMC2, Ls1、Ls2The flat wave inductance of outlet of respectively MMC1, MMC2, Rline、LlineThe respectively equivalent resistance and equivalent inductance of DC line, Csm1、Csm2The respectively submodule capacitance of MMC1, MMC2 Value, Req、Leq、CeqRespectively MMC-HVDC DC sides equivalent resistance, equivalent inductance, equivalent capacity, N are before introducing virtual resistance Submodule numbers of the MMC per phase upper and lower bridge arm input;
It is obtained according to formula (3):
Virtual resistance is introduced in MMC-HVDC DC sides, at this time MMC-HVDC DC voltages fluctuation Δ VdcAnd MMC-HVDC DC side current fluctuation Δ IdcMeet:
Wherein, s is Laplace operator, and ξ is order Oscillating circuit damped coefficient, REQFor the MMC- after introducing virtual resistance HVDC DC side equivalent resistances, ωnFor order Oscillating circuit natural resonance angular frequency, and meet
It is obtained according to formula (7):
The introducing of MMC-HVDC DC side virtual resistances causes MMC-HVDC DC sides equivalent resistance to increase, REQWith ReqIt Between meet:
Wherein, RvResistance value for virtual resistance;
It is obtained according to formula (4) and formula (9):
It is i.e. available according to formula (10):
The voltage drop that virtual resistance is determined according to the DC current wave component of extraction and the resistance value of virtual resistance Component includes:
The voltage drop component of virtual resistance represents have with Δ v:
Wherein, RvFor the resistance value of virtual resistance,For DC current wave component.
The voltage drop component according to virtual resistance determines that MMC bridge arm reference voltages include after introducing virtual resistance:
MMC bridge arm reference voltages are expressed as after introducing virtual resistance:
Wherein, p represents bridge arm on MMC, and n represents MMC lower bridge arms, intermediate quantity j=a, b, c, vpjAfter introducing virtual resistance The upper bridge arm j phase reference voltages of MMC, vnjFor MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+j For j phase positive sequence reference voltages, v-jFor j phase negative phase-sequence reference voltages, vcirjFor loop current suppression reference voltage, Δ v is virtual resistance Voltage drop component.
The present invention also provides a kind of device of resonance between end-to-end MMC-HVDC DC sides station of inhibition, described device includes:
For extracting DC current wave component from DC current, and determine that MMC-HVDC DC sides introduce virtual resistance Resistance value device;
The voltage drop of virtual resistance is determined for the DC current wave component according to extraction and the resistance value of virtual resistance The device of component;And
For determining the device of MMC bridge arm reference voltages after introducing virtual resistance according to the voltage drop component of virtual resistance.
It is described to be used to extract DC current wave component from DC current, and it is virtual to determine that MMC-HVDC DC sides introduce The device of the resistance value of resistance includes:
For extracting the device of DC current wave component from DC current;With
For determining that MMC-HVDC DC sides introduce the device of the resistance value of virtual resistance.
It is described to include for extracting the device of DC current wave component from DC current:
For according to idc0=average (idc) determine DC current DC component device, idcFor DC current, idc0For the DC component of DC current, average () is average window filter function;
For basisDetermine DC current wave componentDevice.
The electricity for being used to determine virtual resistance according to the DC current wave component of extraction and the resistance value of virtual resistance The device of pressure drop component according toDetermine voltage drop component the Δ v, R of virtual resistancevFor the resistance value of virtual resistance, For DC current wave component.
The dress for being used to determine MMC bridge arm reference voltages after introducing virtual resistance according to the voltage drop component of virtual resistance Put basisDetermining MMC bridge arm reference voltages after introducing virtual resistance, p are represented The upper bridge arms of MMC, n represent MMC lower bridge arms, intermediate quantity j=a, b, c, vpjBe after introducing virtual resistance the upper bridge arm j phases of MMC with reference to electric Pressure, vnjFor MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+jFor j phase positive sequence reference voltages, v-jFor j phase negative phase-sequence reference voltages, vcirjFor loop current suppression reference voltage, Δ v is the voltage drop component of virtual resistance.
Compared with the immediate prior art, technical solution provided by the invention has the advantages that:
1st, the method provided by the invention for inhibiting resonance between end-to-end MMC-HVDC DC sides station, can not increase it is additional Inhibit the generation of MMC-HVDC DC side current resonances in the case of loss, reduce the possibility that MMC-HVDC DC sides failure occurs Property, therefore the utilization ratio of voltage source converter can be improved, it is cost-effective;
2nd, the method provided by the invention for inhibiting resonance between end-to-end MMC-HVDC DC sides station because virtual resistance etc. Position is imitated on bridge arm, so also having inhibiting effect to station interior resonance;
3rd, the method provided by the invention for inhibiting resonance between end-to-end MMC-HVDC DC sides station is mainly by improving MMC's Top level control is realized, easy to implement.
Description of the drawings
Fig. 1 is end-to-end MMC-HVDC topological structures schematic diagram;
Fig. 2 is MMC topological structure schematic diagrames;
Fig. 3 is MMC control system architecture schematic diagrams;
Fig. 4 is end-to-end MMC-HVDC DC sides equivalent circuit and LC resonance circuit diagram;
Fig. 5 is resonance equivalent circuit diagram between end-to-end MMC-HVDC DC sides simple equivalent circuit and station;
Fig. 6 is that bridge arm introduces the MMC control system architecture schematic diagrams after virtual resistance;
Fig. 7 is equivalent position schematic diagram of the virtual resistance in bridge arm;
Fig. 8 is that bridge arm introduces end-to-end MMC-HVDC DC sides schematic equivalent circuit after virtual resistance;
Fig. 9 be bridge arm introduce virtual resistance after end-to-end MMC-HVDC DC sides simple equivalent circuit and station between resonance equivalent Circuit diagram.
Specific embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
Although MMC-HVDC considers the resonance characteristic in MMC-HVDC stations and between station when main circuit parameter designs, in master The possibility that resonance occurs at fundamental frequency and harmonics frequency for MMC-HVDC, still, MMC- are avoided in circuit parameter selection HVDC DC side equivalent circuits still have intrinsic resonant frequency, are possible in MMC-HVDC stations and between station in non-fundamental frequency, non- At MMC harmonics frequencies, resonance as follows occurs in synchronization frequency range.As MMC-HVDC DC voltages fluctuation Δ VdcIn A certain vibration frequency when being overlapped with MMC-HVDC DC side equivalent circuit natural resonance frequencies, which will become The driving source of MMC-HVDC DC side resonance.
By end-to-end MMC-HVDC DC sides equivalent circuit (see attached drawing 5) it is found that increase DC side equivalent resistance can press down MMC-HVDC DC sides current resonance peak value processed.The purpose of the present invention is by introducing virtual resistance in bridge arm reference voltage Voltage drop component increases its DC side equivalent resistance while system loss is not increased, and reduces MMC-HVDC DC side resonance The amplitude of electric current, so as to achieve the purpose that inhibit resonance between end-to-end MMC-HVDC DC sides station.
The method that the present invention provides resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition, the method includes:
DC current wave component is extracted from DC current, and determines that MMC-HVDC DC sides introduce the resistance of virtual resistance Value;
The voltage drop component of virtual resistance is determined according to the resistance value of the DC current wave component of extraction and virtual resistance;
According to the voltage drop component of virtual resistance determine introduce virtual resistance after MMC bridge arm reference voltages.
In order to ensure the virtual resistance R introducedvDirect current biasing, virtual resistance R are not introduced in MMC DC voltagesvIt can only be right Non-straight flow works, so to first pass through the DC component that average value filtering extracts DC current, then with DC current It makes the difference to obtain the wave component in DC side electric current.DC current wave component is extracted from DC current to include:
If DC current is idc, according to idcThe DC component of DC current is calculated, is had:
idc0=average (idc) (1)
Wherein, idc0For the DC component of DC current, average () is average window filter function, sample frequency allusion quotation Offset is 3200Hz, other reasonable sample frequencys can also be used;
If DC current wave component isIt is expressed as:
The voltage drop component on virtual resistance is calculated, first has to calculate the size of virtual resistance resistance value, virtual resistance Resistance value is too small can not to inhibit resonance current peak value, excessive, and DC voltage fluctuation is caused to exceed allowed band, it is therefore desirable to rationally Design and calculating.Determine that the resistance value of MMC DC sides introducing virtual resistance includes:
The end-to-end equivalent resistance of MMC-HVDC DC sides can be obtained according to end-to-end MMC-HVDC DC sides equivalent circuit (such as Fig. 4) Anti- Zeq(n), it is expressed as:
Wherein, n is overtone order, ω0For fundamental wave angular frequency, Req1、Req2The bridge arm loss of respectively MMC1, MMC2 are equivalent Resistance, Larm1、Larm2The respectively bridge arm inductance of MMC1, MMC2, Ls1、Ls2The flat wave inductance of outlet of respectively MMC1, MMC2, Rline、LlineThe respectively equivalent resistance and equivalent inductance of DC line, Csm1、Csm2The respectively submodule capacitance of MMC1, MMC2 Value, Req、Leq、CeqRespectively MMC-HVDC DC sides equivalent resistance, equivalent inductance, equivalent capacity, N are before introducing virtual resistance Submodule numbers of the MMC per phase upper and lower bridge arm input;
It is obtained according to formula (3):
After introducing virtual resistance, end-to-end MMC-HVDC DC sides simple equivalent circuit is still RLC series circuits (see attached Fig. 9), virtual resistance is introduced in MMC-HVDC DC sides, at this time MMC-HVDC DC voltages fluctuation Δ VdcIt is straight with MMC-HVDC Flow side current fluctuation Δ IdcMeet:
Wherein, s is Laplace operator;ξ is order Oscillating circuit damped coefficient, and when taking 0.707, resonance obtains well Damping;REQFor the MMC-HVDC DC side equivalent resistances after introducing virtual resistance;ωnFor order Oscillating circuit natural resonance angle Frequency, and meet
It is obtained according to denominator coefficients correspondent equal in formula (7):
The introducing of MMC-HVDC DC side virtual resistances causes MMC-HVDC DC sides equivalent resistance to increase, REQWith ReqIt Between meet:
Wherein, RvResistance value for virtual resistance;
It is obtained according to formula (4) and formula (9):
It is i.e. available according to formula (10):
The voltage drop that virtual resistance is determined according to the DC current wave component of extraction and the resistance value of virtual resistance Component includes:
The voltage drop component of virtual resistance represents have with Δ v:
Wherein, RvFor the resistance value of virtual resistance,For DC current wave component.
By resonance equivalent circuit (see attached drawing 5) between end-to-end MMC-HVDC direct currents station it is found that increase DC side equivalent resistance It can inhibit MMC-HVDC DC side current resonances.In order to increase DC side equivalent resistance, introduced in MMC bridge arm reference voltages The voltage drop component Δ v of virtual resistance forms the MMC control systems with resonance inhibition (see attached drawing 6).According to virtual electricity The voltage drop component of resistance determines that MMC bridge arm reference voltages include after introducing virtual resistance:
MMC bridge arm reference voltages are expressed as after introducing virtual resistance:
Wherein, p represents bridge arm on MMC, and n represents MMC lower bridge arms, intermediate quantity j=a, b, c, vpjAfter introducing virtual resistance The upper bridge arm j phase reference voltages of MMC, vnjFor
MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+jFor j phase positive sequence reference voltages, v-jFor j phase negative phase-sequence reference voltages, vcirjFor loop current suppression reference voltage, Δ v is the voltage drop component of virtual resistance.
The voltage drop component that virtual resistance is introduced in the bridge arm reference voltage generation module of MMC control systems is equivalent to profit It is R to increase size on bridge arm with control meansvVirtual resistance (see attached drawing 7).For end-to-end MMC-HVDC, quite Size is both increased as R in each bridge arm of two MMC valvesvVirtual resistance (see attached drawing 8).Generally speaking, in MMC bridge arms After introducing the voltage drop component of virtual resistance in voltage reference value, the DC side equivalent resistance of end-to-end MMC-HVDC increases 4Rv/ 3 (see attached drawings 9) reduce the amplitude of MMC-HVDC DC side resonance currents, inhibit end-to-end MMC-HVDC so as to reach The purpose of resonance between DC side station.
The present invention also provides a kind of device of resonance between end-to-end MMC-HVDC DC sides station of inhibition, described device includes:
For extracting DC current wave component from DC current, and determine that MMC-HVDC DC sides introduce virtual resistance Resistance value device;
The voltage drop of virtual resistance is determined for the DC current wave component according to extraction and the resistance value of virtual resistance The device of component;And
For determining the device of MMC bridge arm reference voltages after introducing virtual resistance according to the voltage drop component of virtual resistance.
It is described to be used to extract DC current wave component from DC current, and it is virtual to determine that MMC-HVDC DC sides introduce The device of the resistance value of resistance includes:
For extracting the device of DC current wave component from DC current;With
For determining that MMC-HVDC DC sides introduce the device of the resistance value of virtual resistance.
It is described to include for extracting the device of DC current wave component from DC current:
For according to idc0=average (idc) determine DC current DC component device, idcFor DC current, idc0For the DC component of DC current, average () is average window filter function;
For basisDetermine DC current wave componentDevice.
The electricity for being used to determine virtual resistance according to the DC current wave component of extraction and the resistance value of virtual resistance The device of pressure drop component according toDetermine voltage drop component the Δ v, R of virtual resistancevFor the resistance value of virtual resistance, For DC current wave component.
The dress for being used to determine MMC bridge arm reference voltages after introducing virtual resistance according to the voltage drop component of virtual resistance Put basisDetermining MMC bridge arm reference voltages after introducing virtual resistance, p are represented The upper bridge arms of MMC, n represent MMC lower bridge arms, intermediate quantity j=a, b, c, vpjBe after introducing virtual resistance the upper bridge arm j phases of MMC with reference to electric Pressure, vnjFor MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+jFor j phase positive sequence reference voltages, v-jFor j phase negative phase-sequence reference voltages, vcirjFor loop current suppression reference voltage, Δ v is the voltage drop component of virtual resistance.
Finally it should be noted that:The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, institute The those of ordinary skill in category field with reference to above-described embodiment still can to the present invention specific embodiment modify or Equivalent replacement, these are applying for this pending hair without departing from any modification of spirit and scope of the invention or equivalent replacement Within bright claims.

Claims (10)

1. a kind of method of resonance between end-to-end MMC-HVDC DC sides station of inhibition, which is characterized in that the method includes:
DC current wave component is extracted from DC current, and determines that MMC-HVDC DC sides introduce the resistance value of virtual resistance;
The voltage drop component of virtual resistance is determined according to the resistance value of the DC current wave component of extraction and virtual resistance;
According to the voltage drop component of virtual resistance determine introduce virtual resistance after MMC bridge arm reference voltages.
2. the method for resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 1, which is characterized in that institute The extraction DC current wave component from DC current is stated to include:
If DC current is idc, according to idcThe DC component of DC current is calculated, is had:
idc0=average (idc) (1)
Wherein, idc0For the DC component of DC current, average () is average window filter function;
If DC current wave component isIt is expressed as:
3. the method for resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 1, which is characterized in that institute The resistance value for stating determining MMC DC sides introducing virtual resistance includes:
End-to-end MMC-HVDC DC sides equiva lent impedance Z can be obtained according to end-to-end MMC-HVDC DC sides equivalent circuiteq(n), It is expressed as:
Wherein, n is overtone order, ω0For fundamental wave angular frequency, Req1、Req2The respectively bridge arm loss equivalent resistance of MMC1, MMC2, Larm1、Larm2The respectively bridge arm inductance of MMC1, MMC2, Ls1、Ls2The flat wave inductance of outlet of respectively MMC1, MMC2, Rline、 LlineThe respectively equivalent resistance and equivalent inductance of DC line, Csm1、Csm2The respectively submodule capacitance of MMC1, MMC2, Req、Leq、CeqMMC-HVDC DC sides equivalent resistance, equivalent inductance, equivalent capacity, N MMC respectively before introducing virtual resistance Per the submodule number of phase upper and lower bridge arm input;
It is obtained according to formula (3):
Virtual resistance is introduced in MMC-HVDC DC sides, at this time MMC-HVDC DC voltages fluctuation Δ VdcWith MMC-HVDC direct currents Side current fluctuation Δ IdcMeet:
Wherein, s is Laplace operator, and ξ is order Oscillating circuit damped coefficient, REQFor the MMC-HVDC after introducing virtual resistance DC side equivalent resistance, ωnFor order Oscillating circuit natural resonance angular frequency, and meet
It is obtained according to formula (7):
The introducing of MMC-HVDC DC side virtual resistances causes MMC-HVDC DC sides equivalent resistance to increase, REQWith ReqBetween it is full Foot:
Wherein, RvResistance value for virtual resistance;
It is obtained according to formula (4) and formula (9):
It is i.e. available according to formula (10):
4. the method for resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 1, which is characterized in that institute It states and determines that the voltage drop component of virtual resistance includes according to the DC current wave component of extraction and the resistance value of virtual resistance:
The voltage drop component of virtual resistance represents have with Δ v:
Wherein, RvFor the resistance value of virtual resistance,For DC current wave component.
5. the method for resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 1, which is characterized in that institute It states and determines that MMC bridge arm reference voltages include after introducing virtual resistance according to the voltage drop component of virtual resistance:
MMC bridge arm reference voltages are expressed as after introducing virtual resistance:
Wherein, p represents bridge arm on MMC, and n represents MMC lower bridge arms, intermediate quantity j=a, b, c, vpjFor on MMC after introducing virtual resistance Bridge arm j phase reference voltages, vnjFor MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+jFor j phases Positive sequence reference voltage, v-jFor j phase negative phase-sequence reference voltages, vcirjFor loop current suppression reference voltage, Δ v is the voltage drop of virtual resistance Component.
6. the device of resonance between a kind of end-to-end MMC-HVDC DC sides station of inhibition, which is characterized in that described device includes:
For extracting DC current wave component from DC current, and determine that MMC-HVDC DC sides introduce the resistance of virtual resistance The device of value;
The voltage drop component of virtual resistance is determined for the DC current wave component according to extraction and the resistance value of virtual resistance Device;And
For determining the device of MMC bridge arm reference voltages after introducing virtual resistance according to the voltage drop component of virtual resistance.
7. the device of resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 6, which is characterized in that institute It states for extracting DC current wave component from DC current, and determines that MMC-HVDC DC sides introduce the resistance value of virtual resistance Device include:
For extracting the device of DC current wave component from DC current;With
For determining that MMC-HVDC DC sides introduce the device of the resistance value of virtual resistance.
8. the device of resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 7, which is characterized in that institute It states and includes for extracting the device of DC current wave component from DC current:
For according to idc0=average (idc) determine DC current DC component device, idcFor DC current, idc0It is straight The DC component of galvanic electricity stream, average () are average window filter function;
For basisDetermine DC current wave componentDevice.
9. the device of resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 6, which is characterized in that institute State the voltage drop component that virtual resistance is determined for the DC current wave component according to extraction and the resistance value of virtual resistance Device according toDetermine voltage drop component the Δ v, R of virtual resistancevFor the resistance value of virtual resistance,For DC current Wave component.
10. the device of resonance between the end-to-end MMC-HVDC DC sides station of inhibition according to claim 6, which is characterized in that It is described be used for according to the voltage drop component of virtual resistance determine introduce virtual resistance after MMC bridge arm reference voltages device according toDetermining MMC bridge arm reference voltages after introducing virtual resistance, p represent bridge on MMC Arm, n represent MMC lower bridge arms, intermediate quantity j=a, b, c, vpjFor bridge arm j phase reference voltages on MMC after introducing virtual resistance, vnjFor MMC lower bridge arm j phase reference voltages after introducing virtual resistance, VdcFor DC voltage, v+jFor j phase positive sequence reference voltages, v-jFor j phases Negative phase-sequence reference voltage, vcirjFor loop current suppression reference voltage, Δ v is the voltage drop component of virtual resistance.
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