CN105790619B - The MMC submodule capacitor voltage balance control methods of power adaptive - Google Patents
The MMC submodule capacitor voltage balance control methods of power adaptive Download PDFInfo
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- CN105790619B CN105790619B CN201610008110.1A CN201610008110A CN105790619B CN 105790619 B CN105790619 B CN 105790619B CN 201610008110 A CN201610008110 A CN 201610008110A CN 105790619 B CN105790619 B CN 105790619B
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- 239000003990 capacitor Substances 0.000 title claims abstract description 39
- 230000003044 adaptive effect Effects 0.000 title claims abstract description 19
- 238000000034 method Methods 0.000 title claims abstract description 14
- 230000008859 change Effects 0.000 claims abstract description 14
- 230000008707 rearrangement Effects 0.000 claims description 24
- 239000000654 additive Substances 0.000 claims description 6
- 230000000996 additive effect Effects 0.000 claims description 6
- 238000002360 preparation method Methods 0.000 claims description 6
- 230000001105 regulatory effect Effects 0.000 claims description 6
- 210000001367 artery Anatomy 0.000 claims 1
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- 210000003462 vein Anatomy 0.000 claims 1
- 230000005540 biological transmission Effects 0.000 abstract description 6
- 230000010349 pulsation Effects 0.000 abstract description 3
- 230000005611 electricity Effects 0.000 description 5
- 238000011217 control strategy Methods 0.000 description 4
- 230000006978 adaptation Effects 0.000 description 2
- 230000008901 benefit Effects 0.000 description 2
- 230000007423 decrease Effects 0.000 description 2
- 230000007812 deficiency Effects 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
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Classifications
-
- 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
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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
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
-
- 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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- 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]
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- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Inverter Devices (AREA)
Abstract
The invention discloses a kind of MMC submodule capacitor voltage balance control methods of power adaptive, it is framed in and is approached using nearest level on the modularization multi-level converter of modulation strategy, the strategy can be used for flexible DC power transmission, the valve base control for the modularization multi-level converter that the engineerings such as THE UPFC include, compared with traditional switching strategy, submodule IGBT switching frequency can be greatly reduced in the case where not increasing submodule voltage pulsation substantially, extend IGBT life-span.This algorithm can be according to the change of transmission power, adaptive change submodule switching strategy, so that submodule capacitor voltage fluctuating range remains within the specific limits, and can reduce submodule IGBT switching frequency in due course, the submodule IGBT life-spans are improved.
Description
Technical field
The present invention relates to a kind of MMC submodule capacitor voltage balance control methods of power adaptive, belong to power system
Technical field.
Background technology
In view of existing traditional multi-level converter exists in higher applied voltage grade, active power transfer occasion etc.
Deficiency, modular multilevel technology (MMC) is with its unique structure and technical advantage just grinding as the more level fields of high pressure
Study carefully focus.Compared with traditional multi-level converter, it inherits traditional Cascade Topology Structure in terms of number of devices, modular construction
Advantage, suitable for ac output frequency it is constant, require that voltage and power grade high active power converts occasion, MMC
With many structures and output characteristic for being applied to high-power application scenario.
In Practical Project, traditional submodule grading ring section is generally from electric according to bridge arm after submodule capacitor voltage is sorted
Stream set direction input or the strategy for cutting off corresponding submodule, its control targe are：It can keep at any time each
Submodule voltage deviation is minimum.But it has two shortcomings：1st, when conveying active power change, can be caused using traditional algorithm
Submodule capacitor voltage fluctuation changes with the change of transmission power, when conveying active larger, submodule capacitor voltage ripple
Moving also can be larger, is unfavorable for system stable operation and loop current suppression；2nd, this method does not account for the original break-make shape of submodule
State, simply by each submodule of frequent switching, reduce the voltage deviation of each submodule to greatest extent, so it can be caused
Very high IGBT switchings loss.
The content of the invention
Purpose：In order to overcome the deficiencies in the prior art, the present invention provides a kind of MMC submodules of power adaptive
Capacitance voltage balance control method.
Technical scheme：In order to solve the above technical problems, the technical solution adopted by the present invention is：
The MMC submodule capacitor voltage balance control methods of a kind of power adaptive, it is characterised in that be framed in using most
Nearly level is approached on the modularization multi-level converter of modulation strategy；(it is introduced by taking A phases as an example, B, C two-phase step and A phases
It is identical), comprise the following steps：
Step 1) detects upper all submodule capacitor voltage maximum fluctuation value δ U of bridge arm in 3 power frequency periods and added respectively
Adjust submodule Ns numerical value：
(1) if δ U<ZminUNAnd Ns>0 and Ns numerical value did not change within 1s, then performed Ns=Ns-1；
(2) if δ U>ZmaxUNAnd Ns<N and Ns numerical value did not change within 1s, then performed Ns=Ns+1；
(3) if (1) (2) are all unsatisfactory for, Ns numerical value is constant；
Step 2) detects upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule not put into when previous step is long
Number, if upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule number that does not put into are not 0, perform step 3)
To step 6), if it is 0 that upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule number that does not put into, which have one, hold
Row specially treated；
Step 3) obtains bridge arm, the lower bridge arm submodule having been put into and each submodule voltage transient not put into respectively
Value, the submodule voltage that upper bridge arm, lower bridge arm have been put into and the submodule voltage not put into are ranked up respectively, form four
Individual sub- sequence of modules；
Step 4) is handled this four sub- sequence of modules, is retrieved eight groups of new preparations and is used to put into or cut off
Submodule sequence；
Step 5) calculates the son that this step-length upper and lower bridge arm should put into respectively according to modulating wave voltage during this step-length
Number of modules, further according to previous step upper bridge arm, the submodule number that lower bridge arm has been put into and submodule number calculating not put into when long
Go out this step-length needs the submodule quantities for putting into or cutting off more more with respect to last time step-length；
Step 6) determines need according to bridge arm current direction and adaptive switching strategy from eight groups of new submodule sequences
The specific submodule block number for putting into or cutting off, is put into or is cut off；
The submodule number that the submodule number that step 7) has been put into for upper bridge arm, lower bridge arm previous step length is zero or do not put into
Specially treated is carried out when being zero.
In step 1), capacitance voltage maximum fluctuation value δ U refer to all submodule voltages of the upper and lower bridge arm of A phases in 3 cycles
The difference of maximum and voltage minimum, Ns refer to the quantity of this step-length additive regulating submodule setting.
In step 2), upper bridge arm, lower bridge arm have been put into during a step-length submodule number and do not throw are detected respectively
The submodule number entered refers to the submodule number n for detecting that bridge arm has been put intopyThe submodule number n not put intopw, lower bridge arm
The submodule number n having been put intonyThe submodule number n not put intonw。
In step 3), it is respectively the submodule sequence X that upper bridge arm has been put into form four collated submodule sequencespyWith
The submodule sequence X not put intopw, submodule sequence X that lower bridge arm has been put intonyThe submodule sequence X not put intonw。
In step 4), retrieve the submodule sequence that eight groups of preparations are used to put into or cut off and refer to：
(1) by XpyMiddle voltage highest submodule takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpgin；
(2) by XpyThe minimum submodule of middle voltage takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpdin；
(3) by XnyMiddle voltage highest submodule takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xngin；
(4) by XnyThe minimum submodule of middle voltage takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xndin；
(5) by XpwMiddle voltage highest submodule takes out, and puts X intopyIn, rearrangement, ultimately form sequence Xpgout；
(6) by XpwThe minimum submodule of middle voltage takes out, and puts X intopyIn, rearrangement, ultimately form sequence Xpdout；
(7) by XnwMiddle voltage highest submodule takes out, and puts X intonyIn, rearrangement, ultimately form sequence Xngout；
(8) by XnwThe minimum submodule of middle voltage takes out, and puts X intonyIn, rearrangement, ultimately form sequence Xndout。
In step 5),
The submodule number that this step-length of upper bridge arm should be put into utilizes formulaCalculate, n in formulaupTable
Show in this step-length the submodule number that should be put into that bridge arm calculates according to modulating wave voltage, N represents that upper and lower bridge arm is total
The submodule number of input, UrefRepresent modulating wave instantaneous voltage, UcRepresent submodule capacitor voltage；
The submodule number that lower this step-length of bridge arm should be put into utilizes formulaCalculate, in formula
ndownRepresent the submodule number that should be put into that lower bridge arm calculates according to modulating wave voltage in this step-length；
Then this upper and lower bridge arm should put into or cut off several submodule nupAnd ndownWith upper and lower bridge in last time step-length
Submodule quantity that arm has been put into and the submodule quantity not put into carry out contrast and can drawn：(1) if nup-npy=m (m
>0), show that upper bridge arm needs to put into m submodule；(2) if nup-npy=m (m<0), show that upper bridge arm needs m son of excision
Module；(3) if nup-npy=0, show that upper bridge arm need not put into or cut off submodule, then this step-length is touched to valve transmission
It is identical with previous step length to send out pulse；Lower bridge arm and upper bridge arm are similarly；Subsequent step 5 is performed again in the case of (2) two kinds of (1)),
(3) in the case of, then return to step 1 when waiting next step-length arrival).
In step 6), switching strategy refers to：
(1) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, it is no
Then NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpyMiddle excision NsIndividual voltage
Highest submodule, while from XpginIt is middle to choose the minimum m+N of voltagesIndividual submodule input is (due to from XpyMiddle excision submodule
Before block, XpginJust formed, if so detecting XpginThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisions
Individual submodule, then for the NsIndividual submodule is without cutting off and putting into operation)；
(2) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpyMiddle excision NsIndividual voltage is minimum
Submodule, while from XpdinMiddle selection voltage highest m+NsIndividual submodule input is (due to from XpyBefore middle excision submodule,
XpdinJust formed, if so detecting XpdinThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisionsIndividual submodule
Block, then for the NsIndividual submodule is without cutting off and putting into operation)；
(3) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnyMiddle excision NsIndividual voltage is most
High submodule, while from XnginIt is middle to choose the minimum m+N of voltagesIndividual submodule input is (due to from XnyMiddle excision submodule
Before, XnginJust formed, if so detecting XnginThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIt is individual
Submodule, then for the NsIndividual submodule is without cutting off and putting into operation)；
(4) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnyMiddle excision NsIndividual voltage is minimum
Submodule, while from XndinMiddle selection voltage highest m+NsIndividual submodule input is (due to from XnyBefore middle excision submodule,
XndinJust formed, if so detecting XndinThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIndividual submodule
Block, then for the NsIndividual submodule is without cutting off and putting into operation)；
(5) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpwIn find out NsIndividual voltage is most
Low submodule, put into XpyIn, while from XpdoutMiddle selection voltage highest m+NsThe excision of individual submodule is (due to Xpy
Before middle input submodule, XpdoutJust formed, if so detecting XpdoutThe middle submodule for needing to cut off includes XpwMiddle standard
Alternatively go out input to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(6) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpwIn find out NsIndividual voltage highest
Submodule, put into XpyIn, while from XpgoutIt is middle to choose the minimum m+N of voltagesThe excision of individual submodule is (due to XpyMiddle throwing
Before entering submodule, XpgoutJust formed, if so detecting XpgoutThe middle submodule for needing to cut off includes XpwIt is middle to prepare choosing
Go out input to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(7) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnwIn find out NsIndividual voltage is most
Low submodule, put into XnyIn, while from XndoutMiddle selection voltage highest m+NsThe excision of individual submodule is (due to Xny
Before middle input submodule, XndoutJust formed, if so detecting XndoutThe middle submodule for needing to cut off includes XnwMiddle standard
Alternatively go out input to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(8) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnwIn find out NsIndividual voltage highest
Submodule, put into XnyIn, while from XngoutIt is middle to choose the minimum m+N of voltagesThe excision of individual submodule is (due to XnyMiddle throwing
Before entering submodule, XngoutJust formed, if so detecting XngoutThe middle submodule for needing to cut off includes XnwIt is middle to prepare choosing
Go out input to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation).
In addition, specially treated refers to：
(1) when the submodule number of upper bridge arm or lower bridge arm previous step length input is zero：It is more than or equal to 0 in bridge arm current
When, then m minimum submodule of voltage is chosen in the submodule not put into from upper bridge arm or lower bridge arm directly and is put into；In bridge arm electricity
M submodule input of voltage highest is chosen when stream is less than 0, then in the submodule not put into from upper bridge arm or lower bridge arm directly；
Do not consider now to cut off；
(2) when the submodule number that upper bridge arm or lower bridge arm previous step length are not put into is zero (i.e. upper bridge arm or lower bridge arm input
N number of submodule) when：When bridge arm current is more than or equal to 0, then chosen in the submodule directly put into from upper bridge arm or lower bridge arm
The m submodule excision of voltage highest；When bridge arm current is less than 0, then directly from upper bridge arm or the submodule of lower bridge arm input
It is middle to choose the minimum m submodule excision of voltage；Do not consider now to put into.
Beneficial effect：The MMC submodule capacitor voltage balance control methods of power adaptive provided by the invention, are framed in
Approached using nearest level on the modularization multi-level converter of modulation strategy, this algorithm can according to the change of transmission power,
Adaptive change submodule switching strategy so that submodule capacitor voltage fluctuating range remains within the specific limits, and
And submodule IGBT switching frequency can be reduced in due course, improve the submodule IGBT life-spans.
Brief description of the drawings
Fig. 1 is modularization multi-level converter MMC provided by the invention topological diagram；
P, N represent transverter direct current both positive and negative polarity bus, i in figuredRepresent DC current, UdRepresent DC voltage.Upa1Extremely
Upa(N/2)Represent the capacitance voltage (being not drawn into redundant module) of N/2 submodule of bridge arm in a phases；Upb1To Upb(N/2)Represent in b phases
The capacitance voltage (being not drawn into redundant module) of N/2 submodule of bridge arm；Upc1To Upc(N/2)Represent N/2 submodule of bridge arm in c phases
Capacitance voltage (being not drawn into redundant module).Una1To Una(N/2)Represent that the capacitance voltage of N/2 submodule of bridge arm under a phases (is not drawn
Go out redundant module)；Unb1To Unb(N/2)Represent the capacitance voltage (being not drawn into redundant module) of N/2 submodule of bridge arm under b phases；Unc1
To Unc(N/2)Represent the capacitance voltage (being not drawn into redundant module) of N/2 submodule of bridge arm under c phases.ipa、ipbAnd ipcRepresent a, b
With bridge arm current in c phases；ina、inbAnd incRepresent bridge arm current under a, b and c phase；isa、isbAnd iscRepresent exchange a, b and c phases electricity
Stream；Rs represents to exchange side resistance and reactance, U respectively with Lssa、UsbAnd UscSystem voltage is represented respectively；The frame table in Fig. 1 upper right corner
Show the structure chart of submodule, UjkSome submodule voltage, T in expression or in lower bridge arm1And T2Two IGBT are represented respectively
Pipe, D1And D2Two diodes in parallel with IGBT are represented respectively, and C represents submodule electric capacity；
Fig. 2 is upper bridge arm input excision strategic process figure；
Fig. 3 is lower bridge arm input excision strategic process figure；
Fig. 4 is active power reference value from 2.4*104W changes to 3.36*104During W, this control strategy realizes pair
The adaptive reduction control of submodule capacitor voltage fluctuation；
Fig. 5 is active power reference value from 2.4*104W changes to 1.6*104During W, this control strategy realizes antithetical phrase
The adaptive increase control of module capacitance voltage pulsation.
Embodiment
Fig. 1 is the topological diagram of modularization multi-level converter provided by the invention.In conjunction with Fig. 2 and Fig. 3 by taking A phases as an example,
The strategy for putting into or cutting off to upper and lower bridge arm illustrates：
Step 1：Upper all submodule capacitor voltage maximum fluctuation value δ U of bridge arm in 3 power frequency periods are detected respectively and are added
Adjust submodule Ns numerical value：
(1) if δ U<ZminUNAnd Ns>0 and Ns numerical value did not change within 1s, then performed Ns=Ns-1；
(2) if δ U>ZmaxUNAnd Ns<N and Ns numerical value did not change within 1s, then performed Ns=Ns+1；
(3) if (1) (2) are all unsatisfactory for, Ns numerical value is constant；
Step 2：Detect the submodule number n that upper and lower bridge arm has been put into when previous step is longpyAnd nny, the submodule that does not put into
Block number npwAnd nnwIf submodule number that upper and lower bridge arm has been put into and the submodule number not put into are not 0, step is performed
Rapid 3 arrive step 6, if it is 0 that submodule number that upper and lower bridge arm has been put into and the submodule number not put into, which have one, perform
Specially treated.
Step 3：Each submodule instantaneous voltage for obtaining the upper and lower bridge arm submodule having been put into respectively and not putting into,
The submodule voltage that upper and lower bridge arm has been put into and the submodule voltage not put into are ranked up respectively, form four submodules
Block sequence, respectively Xpy、Xpw、XnyAnd Xnw。
Step 4：This four sub- sequence of modules are handled, eight groups of new preparations is retrieved and is used to put into or cut off
Submodule sequence, be respectively：
(1) by XpyMiddle NSIndividual voltage highest submodule takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpgin；
(2) by XpyMiddle NSThe minimum submodule of individual voltage takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpdin；
(3) by XnyMiddle NSIndividual voltage highest submodule takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xngin；
(4) by XnyMiddle NSThe minimum submodule of individual voltage takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xndin；
(5) by XpwMiddle NSIndividual voltage highest submodule takes out, and puts X intopyIn, rearrangement, ultimately form sequence
Xpgout；
(6) by XpwMiddle NSThe minimum submodule of individual voltage takes out, and puts X intopyIn, rearrangement, ultimately form sequence
Xpdout；
(7) by XnwMiddle NSIndividual voltage highest submodule takes out, and puts X intonyIn, rearrangement, ultimately form sequence
Xngout；
(8) by XnwMiddle NSThe minimum submodule of individual voltage takes out, and puts X intonyIn, rearrangement, ultimately form sequence
Xndout。
Step 5：The son that this step-length upper and lower bridge arm should put into respectively is calculated according to modulating wave voltage during this step-length
Number of modules, this is calculated further according to the previous step submodule number that upper and lower bridge arm has been put into when long and the submodule number not put into
The long relative last time step-length of hyposynchronization needs the submodule quantities for putting into or cutting off more more.
The submodule number that this step-length of upper bridge arm should be put into utilizes formulaCalculate, n in formulaupTable
Show in this step-length the submodule number that should be put into that bridge arm calculates according to modulating wave voltage, N represents that upper and lower bridge arm is total
The submodule number of input, UrefRepresent modulating wave instantaneous voltage, UcRepresent submodule capacitor voltage.
The submodule number that lower this step-length of bridge arm should be put into utilizes formulaCalculate, in formula
ndownRepresent the submodule number that should be put into that lower bridge arm calculates according to modulating wave voltage in this step-length.
Then this upper and lower bridge arm, which should put into or cut off several submodules, need to only use nupAnd ndownOn last time step-length
The lower bridge arm submodule quantity having been put into and the submodule quantity not put into carry out contrast and can drawn：(1) if nup-npy
=m (m>0), show that upper bridge arm needs to put into m submodule；(2) if nup-npy=m (m<0), show that upper bridge arm needs to cut off
M submodule；(3) if nup-npy=0, show that upper bridge arm need not put into or cut off submodule, then this step-length is sent out valve
The trigger pulse sent is identical with previous step length.Lower bridge arm and upper bridge arm are similarly.Follow-up step is performed again in the case of (2) two kinds of (1)
Rapid 6, in the case of (3), then return to step 1 when waiting next step-length arrival.
Step 6：Need are determined from eight groups of new submodule sequences according to bridge arm current direction and adaptive switching strategy
The specific submodule block number for putting into or cutting off, is put into or is cut off.Specifically adaptive switching strategy is：
(1) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, it is no
Then NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpyMiddle excision NsIndividual voltage
Highest submodule, while from XpginIt is middle to choose the minimum m+N of voltagesIndividual submodule input is (due to from XpyMiddle excision submodule
Before block, XpginJust formed, if so detecting XpginThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisions
Individual submodule, then for the NsIndividual submodule is without cutting off and putting into operation)；
(2) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpyMiddle excision NsIndividual voltage is minimum
Submodule, while from XpdinMiddle selection voltage highest m+NsIndividual submodule input is (due to from XpyBefore middle excision submodule,
XpdinJust formed, if so detecting XpdinThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisionsIndividual submodule
Block, then for the NsIndividual submodule is without cutting off and putting into operation)；
(3) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnyMiddle excision NsIndividual voltage is most
High submodule, while from XnginIt is middle to choose the minimum m+N of voltagesIndividual submodule input is (due to from XnyMiddle excision submodule
Before, XnginJust formed, if so detecting XnginThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIt is individual
Submodule, then for the NsIndividual submodule is without cutting off and putting into operation)；
(4) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnyMiddle excision NsIndividual voltage is minimum
Submodule, while from XndinMiddle selection voltage highest m+NsIndividual submodule input is (due to from XnyBefore middle excision submodule,
XndinJust formed, if so detecting XndinThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIndividual submodule
Block, then for the NsIndividual submodule is without cutting off and putting into operation)；
(5) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpwIn find out NsIndividual voltage is most
Low submodule, put into XpyIn, while from XpdoutMiddle selection voltage highest m+NsThe excision of individual submodule is (due to Xpy
Before middle input submodule, XpdoutJust formed, if so detecting XpdoutThe middle submodule for needing to cut off includes XpwMiddle standard
Alternatively go out input to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(6) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise
NSNumerical value is constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpwIn find out NsIndividual voltage highest
Submodule, put into XpyIn, while from XpgoutIt is middle to choose the minimum m+N of voltagesThe excision of individual submodule is (due to XpyMiddle throwing
Before entering submodule, XpgoutJust formed, if so detecting XpgoutThe middle submodule for needing to cut off includes XpwIt is middle to prepare choosing
Go out input to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(7) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnwIn find out NsIndividual voltage is most
Low submodule, put into XnyIn, while from XndoutMiddle selection voltage highest m+NsThe excision of individual submodule is (due to Xny
Before middle input submodule, XndoutJust formed, if so detecting XndoutThe middle submodule for needing to cut off includes XnwMiddle standard
Alternatively go out input to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation)；
(8) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise
NSNumerical value is constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnwIn find out NsIndividual voltage highest
Submodule, put into XnyIn, while from XngoutIt is middle to choose the minimum m+N of voltagesThe excision of individual submodule is (due to XnyMiddle throwing
Before entering submodule, XngoutJust formed, if so detecting XngoutThe middle submodule for needing to cut off includes XnwIt is middle to prepare choosing
Go out input to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation).
Step 7：The submodule number that the submodule number put into for upper and lower bridge arm previous step length is zero or do not put into is zero
When need carry out specially treated：
(1) when the submodule number of upper bridge arm or lower bridge arm previous step length input is zero：It is more than or equal to 0 in bridge arm current
When, then m minimum submodule of voltage is chosen in the submodule not put into from upper bridge arm or lower bridge arm directly and is put into；In bridge arm electricity
M submodule input of voltage highest is chosen when stream is less than 0, then in the submodule not put into from upper bridge arm or lower bridge arm directly；
Do not consider now to cut off；
(2) when the submodule number that upper bridge arm or lower bridge arm previous step length are not put into is zero (i.e. upper bridge arm or lower bridge arm input
N number of submodule) when：When bridge arm current is more than or equal to 0, then chosen in the submodule directly put into from upper bridge arm or lower bridge arm
The m submodule excision of voltage highest；When bridge arm current is less than 0, then directly from upper bridge arm or the submodule of lower bridge arm input
It is middle to choose the minimum m submodule excision of voltage；Do not consider now to put into.
To verify that this algorithm is implemented on the superior function in the fields such as flexible DC power transmission, THE UPFC, testing
Room constructing modular multilevel converter dynamic model, and traditional nearest level approached into modulation strategy, another is more flowed
Capable modulation strategy and this strategy is applied to the model, observes bridge arm IGBT is total in three kinds of algorithm a phases switching frequency and submodule
Block voltage fluctuation of capacitor situation.
The model is 9 level MMC inverter models, and wherein upper and lower bridge arm respectively has 10 submodules, input 8 when normal, 2
Individual is redundant module, submodule rated voltage 200V, DC rated voltage ± 800V, modulation ratio 0.75, sets Zmin=5%,
Zmax=10%.
When power adjustment instruction changes, actual power can be changed with value and power reference, then ordinary circumstance
Under, when value and power reference rises, submodule capacitor voltage fluctuation can become big, and during value and power reference decline, submodule electric capacity
Voltage pulsation will diminish.
When Fig. 4 is that value and power reference rises, model is using each submodule capacitor voltage of bridge arm in A phases after this control strategy
Waveform.
As seen from Figure 4, before 0.8s, value and power reference gives 2.4*104W, additive regulating submodule quantity are
1, submodule capacitor voltage is relatively fluctuated to be stable, is fluctuated substantially in 194-210V or so, more than Zmin*UN, and it is less than Zmax*UN, therefore
Additional submodule quantity will not change.As 0.8s, value and power reference is by 2.4*104W rises to 3.36*104W, submodule electric capacity electricity
Pressure fluctuation is begun to ramp up, and is fluctuated substantially in 193-214V or so, and now submodule capacitor voltage fluctuation has been above Zmax*UN, root
According to this algorithm flow, continuously it is more than Z in the submodule capacitor voltage fluctuation for judging 3 cyclesmax*UN(0.88s) afterwards, algorithm is certainly
The increase additive regulating submodule quantity of adaptation is 2, and final submodule capacitor voltage fluctuation is stable between 196.6-215.5,
Less than Zmax*UN。
The cost for reducing submodule capacitor voltage fluctuation is the increase of submodule IGBT switching frequencies, but relative IGBT switchings are frequently
For rate, control submodule voltage fluctuation of capacitor is out-of-limit more important.When table 1 lists 1s-1.1s, without using in this algorithm A phases
All submodule IGBT switching frequencies of bridge arm on all submodule IGBT switching frequencies of bridge arm and use this algorithm A phases.
Table 1
As can be seen from Table 1, it is relative without using this algorithm using this algorithm, submodule IGBT switching frequencies this 0.1s it
Inside add 32 times.
When Fig. 5 is that value and power reference declines, model is using each submodule capacitor voltage of bridge arm in A phases after this control strategy
Waveform.
As seen from Figure 5, before 0.8s, value and power reference gives 2.4*104W, additive regulating submodule quantity are
2, submodule capacitor voltage is relatively fluctuated to be stable, is fluctuated substantially in 197-210V or so, more than Zmin*UN, and it is less than Zmax*UN, therefore
Additional submodule quantity will not change.As 0.8s, value and power reference is by 2.4*104W rises to 1.6*104W, submodule electric capacity electricity
Pressure fluctuation is begun to decline, and is fluctuated substantially in 198-207V or so, and now submodule capacitor voltage fluctuation is already less than Zmin*UN, root
According to this algorithm flow, continuously it is less than Z in the submodule capacitor voltage fluctuation for judging 3 cyclesmin*UN(0.955s) afterwards, algorithm is certainly
The reduction additive regulating submodule quantity of adaptation is 1, and final submodule capacitor voltage fluctuation is stable between 196-207, is more than
Zmax*UN。
Submodule capacitor voltage fluctuate very little when, can submodule capacitor voltage fluctuate it is not out-of-limit on the premise of, with
It is cost to sacrifice submodule capacitor voltage fluctuation, reduces submodule IGBT switching frequencies, extends the IGBT life-spans.Table 2 lists 1s-
During 1.1s, without using all submodule IGBT switching frequencies of bridge arm in this algorithm A phases and all sons of bridge arm in this algorithm A phases are used
Module I GBT switching frequencies.
Table 2
As can be seen from Table 2, it is relative without using this algorithm using this algorithm, submodule IGBT switching frequencies this 0.1s it
Inside reduce 32 times.
Described above is only the preferred embodiment of the present invention, it should be pointed out that：For the ordinary skill people of the art
For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should
It is considered as protection scope of the present invention.
Claims (4)
1. the MMC submodule capacitor voltage balance control methods of a kind of power adaptive, it is characterised in that be framed in using nearest
Level is approached on the modularization multi-level converter of modulation strategy；Comprise the following steps：
Step 1) detects upper all submodule capacitor voltage maximum fluctuation value δ U of bridge arm and additive regulating in 3 power frequency periods respectively
Submodule Ns numerical value：
(1) if δ U<ZminUNAnd Ns>0 and Ns numerical value did not change within 1s, then performed Ns=Ns-1；
(2) if δ U>ZmaxUNAnd Ns<N and Ns numerical value did not change within 1s, then performed Ns=Ns+1；
(3) if (1) (2) are all unsatisfactory for, Ns numerical value is constant；
Step 2) detects upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule number not put into when previous step is long,
If upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule number that does not put into are not 0, step 3) is performed to step
It is rapid 6), if it is 0 that upper bridge arm, the submodule number that lower bridge arm has been put into and the submodule number that does not put into, which have one, perform spy
Different processing；Specially treated refers to：
(1) when the submodule number of upper bridge arm or lower bridge arm previous step length input is zero：When bridge arm current is more than or equal to 0, then
The minimum m submodule input of voltage is chosen in the submodule not put into from upper bridge arm or lower bridge arm directly；It is small in bridge arm current
M submodule input of voltage highest is chosen when 0, then in the submodule not put into from upper bridge arm or lower bridge arm directly；Now
Do not consider to cut off；
(2) when the submodule number that upper bridge arm or lower bridge arm previous step length are not put into is zero：When bridge arm current is more than or equal to 0,
The m submodule excision of voltage highest is chosen in the submodule then directly put into from upper bridge arm or lower bridge arm；It is small in bridge arm current
When 0, then the minimum m submodule excision of voltage is chosen in the submodule directly put into from upper bridge arm or lower bridge arm；Now not
Consider input；
Step 3) obtains bridge arm, the lower bridge arm submodule having been put into and each submodule instantaneous voltage not put into respectively,
The submodule voltage that upper bridge arm, lower bridge arm have been put into and the submodule voltage not put into are ranked up respectively, form four
Submodule sequence；It is respectively the submodule sequence X that upper bridge arm has been put into form four collated submodule sequencespyDo not put into
Submodule sequence Xpw, submodule sequence X that lower bridge arm has been put intonyThe submodule sequence X not put intonw；
Step 4) is handled this four sub- sequence of modules, retrieves the son that eight groups of new preparations are used to put into or cut off
Sequence of modules；
(1) by XpyMiddle voltage highest submodule takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpgin；
(2) by XpyThe minimum submodule of middle voltage takes out, and puts X intopwIn, rearrangement, ultimately form sequence Xpdin；
(3) by XnyMiddle voltage highest submodule takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xngin；
(4) by XnyThe minimum submodule of middle voltage takes out, and puts X intonwIn, rearrangement, ultimately form sequence Xndin；
(5) by XpwMiddle voltage highest submodule takes out, and puts X intopyIn, rearrangement, ultimately form sequence Xpgout；
(6) by XpwThe minimum submodule of middle voltage takes out, and puts X intopyIn, rearrangement, ultimately form sequence Xpdout；
(7) by XnwMiddle voltage highest submodule takes out, and puts X intonyIn, rearrangement, ultimately form sequence Xngout
(8) by XnwThe minimum submodule of middle voltage takes out, and puts X intonyIn, rearrangement, ultimately form sequence Xndout；
Step 5) calculates the submodule that this step-length upper and lower bridge arm should put into respectively according to modulating wave voltage during this step-length
Number, this is calculated further according to previous step upper bridge arm when long, the submodule number that lower bridge arm has been put into and the submodule number that does not put into
The long relative last time step-length of hyposynchronization needs the submodule quantities for putting into or cutting off more more；
Step 6) determines to need to throw according to bridge arm current direction and adaptive switching strategy from eight groups of new submodule sequences
The specific submodule block number for entering or cutting off, is put into or is cut off；
The submodule number that the submodule number that step 7) has been put into for upper bridge arm, lower bridge arm previous step length is zero or do not put into is zero
When carry out specially treated.
2. the MMC submodule capacitor voltage balance control methods of power adaptive according to claim 1, its feature exist
In：In step 2), upper bridge arm, the submodule number that lower bridge arm has been put into and the son not put into during a step-length are detected respectively
Number of modules refers to the submodule number n for detecting that bridge arm has been put intopyThe submodule number n not put intopw, lower bridge arm thrown
The submodule number n enterednyThe submodule number n not put intonw。
3. the MMC submodule capacitor voltage balance control methods of power adaptive according to claim 2, its feature exist
In：In step 5),
The submodule number that this step-length of upper bridge arm should be put into utilizes formulaCalculate, n in formulaupRepresent this
The submodule number that should be put into that upper bridge arm calculates according to modulating wave voltage in secondary step-length, N represent the total input of upper and lower bridge arm
Submodule number, UrefRepresent modulating wave instantaneous voltage, UcRepresent submodule capacitor voltage；
The submodule number that lower this step-length of bridge arm should be put into utilizes formulaCalculate, n in formuladownRepresent
The submodule number that should be put into that lower bridge arm calculates according to modulating wave voltage in this step-length；
Then this upper and lower bridge arm should put into or cut off several submodule nupAnd ndownWith upper and lower bridge arm in last time step-length
Submodule quantity through input and the submodule quantity not put into carry out contrast and can drawn：(1) if nup-npy=m, m>0,
Show that upper bridge arm needs to put into m submodule；(2) if nup-npy=m, m<0, show that upper bridge arm needs to cut off m submodule；
(3) if nup-npy=0, show that upper bridge arm need not put into or cut off submodule, then the triggering arteries and veins that this step-length is sent to valve
Punching is identical with previous step length；Lower bridge arm and upper bridge arm are similarly；Subsequent step 6 is performed again in the case of (2) two kinds of (1)), in (3)
In the case of, then return to step 1 when waiting next step-length arrival).
4. the MMC submodule capacitor voltage balance control methods of power adaptive according to claim 2, its feature exist
In：In step 6), switching strategy refers to：
(1) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, otherwise NS
Numerical value is constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpyMiddle excision NsIndividual voltage highest
Submodule, while from XpginIt is middle to choose the minimum m+N of voltagesIndividual submodule input；Due to from XpyIt is middle excision submodule it
Before, XpginJust formed, if so detecting XpginThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisionsHeight
Module, then for the NsIndividual submodule is without cutting off and putting into operation；
(2) when upper bridge arm needs to put into submodule m, progress NSNumerical value judges, if NS>npy, then N is madeS=npy, otherwise NSNumber
It is worth constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpyMiddle excision NsThe minimum submodule of individual voltage
Block, while from XpdinMiddle selection voltage highest m+NsIndividual submodule input；Due to from XpyBefore middle excision submodule, Xpdin
Just formed, if so detecting XpdinThe middle submodule for needing to put into includes XpyMiddle that N for preparing excisionsIndividual submodule,
Then for the NsIndividual submodule is without cutting off and putting into operation；
(3) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise NSNumber
It is worth constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnyMiddle excision NsIndividual voltage highest
Submodule, while from XnginIt is middle to choose the minimum m+N of voltagesIndividual submodule input；Due to from XnyBefore middle excision submodule,
XnginJust formed, if so detecting XnginThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIndividual submodule
Block, then for the NsIndividual submodule is without cutting off and putting into operation；
(4) bridge arm needs to put into submodule m instantly, carries out NSNumerical value judges, if NS>nny, then N is madeS=nny, otherwise NSNumber
It is worth constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnyMiddle excision NsThe minimum submodule of individual voltage
Block, while from XndinMiddle selection voltage highest m+NsIndividual submodule input；Due to from XnyBefore middle excision submodule, Xndin
Just formed, if so detecting XndinThe middle submodule for needing to put into includes XnyMiddle that N for preparing excisionsIndividual submodule,
Then for the NsIndividual submodule is without cutting off and putting into operation；
(5) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise NSNumber
It is worth constant, carries out logic judgment again, when upper bridge arm current is more than or equal to 0, then from XpwIn find out NsIndividual voltage is minimum
Submodule, put into XpyIn, while from XpdoutMiddle selection voltage highest m+NsIndividual submodule excision；Due to XpyMiddle throwing
Before entering submodule, XpdoutJust formed, if so detecting XpdoutThe middle submodule for needing to cut off includes XpwIt is middle to prepare choosing
Go out input to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation；
(6) when upper bridge arm needs to cut off submodule m, progress NSNumerical value judges, if NS>npw, then N is madeS=npw, otherwise NSNumber
It is worth constant, carries out logic judgment again, when upper bridge arm current is less than 0, then from XpwIn find out NsIndividual voltage highest submodule
Block, put into XpyIn, while from XpgoutIt is middle to choose the minimum m+N of voltagesIndividual submodule excision；Due to XpyMiddle input
Before module, XpgoutJust formed, if so detecting XpgoutThe middle submodule for needing to cut off includes XpwThrowing is selected in middle preparation
Enter to XpyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation；
(7) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise NSNumber
It is worth constant, carries out logic judgment again, when bridge arm current is more than or equal to 0 instantly, then from XnwIn find out NsIndividual voltage is minimum
Submodule, put into XnyIn, while from XndoutMiddle selection voltage highest m+NsIndividual submodule excision；Due to XnyMiddle throwing
Before entering submodule, XndoutJust formed, if so detecting XndoutThe middle submodule for needing to cut off includes XnwIt is middle to prepare choosing
Go out input to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation；
(8) bridge arm needs to cut off submodule m instantly, carries out NSNumerical value judges, if NS>nnw, then N is madeS=nnw, otherwise NSNumber
It is worth constant, carries out logic judgment again, when bridge arm current is less than 0 instantly, then from XnwIn find out NsIndividual voltage highest submodule
Block, put into XnyIn, while from XngoutIt is middle to choose the minimum m+N of voltagesIndividual submodule excision；Due to XnyMiddle input
Before module, XngoutJust formed, if so detecting XngoutThe middle submodule for needing to cut off includes XnwThrowing is selected in middle preparation
Enter to XnyThat NsIndividual submodule, then for the NsIndividual submodule is without putting into and cutting off operation.
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| CN107046374B (en) * | 2017-02-20 | 2019-04-23 | 杭州电子科技大学 | A kind of Modular multilevel converter submodule capacitor voltage balance control method |
| CN107086803B (en) * | 2017-06-19 | 2019-04-09 | 国家电网公司 | A kind of capacitor voltage balance control strategy of modularization multi-level converter |
| CN108152623B (en) * | 2017-12-18 | 2020-03-17 | 西安交通大学 | On-line monitoring method for modular multilevel converter sub-module capacitor |
| CN110768555B (en) * | 2019-10-21 | 2020-08-11 | 中国南方电网有限责任公司超高压输电公司广州局 | Power module capacitor voltage balance strategy considering input frequency |
| CN110867885B (en) * | 2019-11-26 | 2021-03-09 | 全球能源互联网研究院有限公司 | Submodule alternation control method of direct current energy consumption device |
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| CN114839470B (en) * | 2022-07-06 | 2022-10-11 | 西安交通大学 | Capacitor monitoring method, device, equipment and medium for submodule of MMC system |
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