CN109861570A - A kind of low frequency circulation inhibition method of carrier wave stacking pulsewidth modulation lower module multi-level converter - Google Patents
A kind of low frequency circulation inhibition method of carrier wave stacking pulsewidth modulation lower module multi-level converter Download PDFInfo
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Abstract
The invention discloses a kind of low frequency circulation inhibition methods of carrier wave stacking pulsewidth modulation lower module multi-level converter, this method is under the premise of guaranteeing phase bridge arm output-voltage levels exactly equal to target waveform level, rationally improve the pulse distribution mode of original state machine fixed route formula, by making full use of suitable redundant state at the level moment influential on circulation, so that within the scope of the variation of circulation is limited in reasonably always, effectively inhibit low frequency circulation size caused by unit module voltage fluctuation of capacitor, reduce the switching current stress of unit module.At the same time, which maintains the homogenization and minimum of unit module switch motion under the premise of guarantee does not generate burst pulse to greatest extent, ensure that unit module capacitor voltage balance is unaffected.In addition, this method have limitation frequency band appropriate, with ensure unit module switch will not frequent movement and cause unit module loss increase.
Description
Technical field
The invention belongs to high-voltage and high-power power electronic technical fields, relate generally to a kind of carrier wave stacking pulsewidth modulation lower die
The low frequency circulation inhibition method of block multi-electrical level inverter.
Background technique
In recent years, Modular multilevel converter relies on its modularization, expansibility, redundant, can be directly accessed high pressure
Direct current, and power can be flexibly exchanged using public direct-current side without influencing the series of advantages such as AC system, it obtains
The extensive concern of industry and academia.Therefore, Modular multilevel converter is in addition to can be applied to HVDC transmission system
Except, apply also for the occasions such as mesohigh motor driven and middle pressure active power filtering.
In these applications, each bridge arm of Modular multilevel converter contains unit module quantity and is typically not greater than 20
It is a, therefore in order to obtain more preferably ac output voltage harmonic performance, the modulation strategy based on carrier wave need to be used.Wherein,
Pulse modulation technology based on carrier wave layered manner is relatively switched using a modulated signal and multiple carrier waves being arranged above and below
Signal has better line voltage output harmonic wave performance compared with phase-shifting carrier wave method.However, if distinguishing upper and lower bridge arm
Pulse modulation technology is laminated using carrier wave, phase bridge arm output voltage will no longer have carrier wave stacking and modulate distinctive harmonic wave
Characteristic, thus in order to solve this problem, each phase bridge arm should be carried out as a whole to carrier wave stacking modulation, this method
Also it is referred to as the optimal carrier wave stacking modulator approach of Modular multilevel converter.
However, when this optimal modulation method is applied to Modular multilevel converter, since it is to low frequency circulation
Influence can not be embodied in modulated signal, it is traditional will no longer based on the modified low frequency loop current suppression strategy of submodule modulated signal
It is applicable in, and final pulse distribution link must be redesigned, make it have low frequency loop current suppression ability.This also will
Ask, required pulse distribution link need to meet claimed below simultaneously: (1) unit module switch motion homogenizes；(2) unit module
Master switch action frequency minimizes；(3) circulation control is waited into three conditions near a reference value.
At the same time, this pulse distribution link with loop current suppression ability also needs further to consider that redundant state is forced
Switch the influence to unit module switching frequency, burst pulse and unit module capacitor voltage balance.Therefore need to design a kind of load
The pulse allocating method of Modular multilevel converter under wave stacking modulation, makes it have low frequency loop current suppression ability, to mention
High device is in mesolow occasion runnability.
Summary of the invention
Goal of the invention: to solve the above problem in the prior art, the present invention is provided under a kind of carrier wave stacking pulsewidth modulation
The low frequency circulation inhibition method of Modular multilevel converter.
Technical solution: the low frequency loop current suppression side of carrier wave stacking pulsewidth modulation lower module multi-level converter of the invention
Method the following steps are included:
(1) analysis obtains all different switch state groups for the Modular multilevel converter that bridge arm unit number of modules is N
It closes, retains all Switch State Combination in Power Systems for keeping circulation unchanged with change rate △ I U/2L, remove every other Redundanter schalter shape
State combination, wherein U is unit module capacitance voltage value, and L is bridge arm inductance value；
(2) the reset condition type pulsqe distributor for establishing Modular multilevel converter, guarantees each modular unit pulse
The minimum of homogenization and master switch the movement number of distribution；According to each selected switch combination of common mode switch Functional Analysis to circulation
Influence so that the variation tendency of circulation meet always it is constant-reduce it is-constant-increase this staggeredly rule；
(3) select currently on circulation change the level without influence, where the level carrier peak value or valley detection master
The real value size of circulation in circuit, and state is determined according to next Switch State Combination in Power Systems of circulation value size and reset condition machine
Select path；
(4) the modular unit switch motion change rule of a primitive period analyzed, calculated, meeting each module
Accumulative charging and discharging currents in one primitive period of cell capacitance adjust the limitation amount of bandwidth of circulation in real time under the premise of being zero,
Or the appropriate switching frequency for increasing modular unit, with meet simultaneously unit module capacitor voltage balance and circulation inhibit on demand this two
A target.
Further, in step (1), make circulation is unchanged to refer to: each mutually upper and lower bridge arm of Modular multilevel converter is led
Logical unit module number sums to N, if not considering, stagnation pressure is reduced to zero on its bridge arm inductance of the fluctuation of capacitance voltage；Make circulation
Change rate △ I is that U/2L refers to that unit module number sum is equal to N+1 or N-1, and wherein unit module number sum is that N+1 represents electricity
Drop is flowed down, represents electric current rising for N-1.
Further, original a total of 2N+1 target level of state machine in step (2), and each target level has 2N
A optional redundant state；One and only one unit module acts when each target level variation.
Further, in step (3), shape is determined according to next Switch State Combination in Power Systems of circulation value size and reset condition machine
If state selection path includes: that circulation value meets condition (a) one of to condition (c), state selects path according to reset condition machine
Given route carry out: (a) circulation detected value be less than its setting upper limit value and lower limit value；(b) circulation detected value is greater than it
The upper limit value of setting, but next Switch State Combination in Power Systems of reset condition machine will be such that the circulation value reduces；(c) circulation detected value is less than
Its lower limit value set, but next Switch State Combination in Power Systems of reset condition machine will be such that the circulation value increases；If circulation value meets item
Part (d) is one of to condition (e), then state selection path will improve reset condition machine, and next by reset condition machine opens
The adjacent switch assembled state being switched under its same level is forced in off status combination: (d) circulation detected value is greater than its setting
Upper limit value, and next Switch State Combination in Power Systems of reset condition machine will make the circulation value continue to increase；(e) circulation detected value is less than it
The lower limit value of setting, and next Switch State Combination in Power Systems of reset condition machine will make the circulation value continue to reduce.
Further, in step (4), the size of circulation setting value is determined according to unit module capacitance, bridge arm inductance value:
If capacitance, inductance value are smaller, circulation setting value need to be increased accordingly；If capacitance, inductance value are larger, circulation setting value should be corresponding
Reduce.
The utility model has the advantages that compared with the existing technology, the present invention makes Modular multilevel converter using pulse distribution thought
All paths in modulated signal ergodic state machine after obtaining level, and one and only one submodule in each level change
Block carries out switch motion, reduces the switch motion frequency of submodule to the maximum extent, ensure that the homogenization of switch motion.Together
When, without active balancings algorithms such as voltage sequences, it is not necessarily to submodule direct current voltage sensor, enormously simplifies hardware design；Shape
The variation path of state machine make the variation of circulation always according to remain unchanged → increase → remain unchanged → rule of reduction interlocks
It carries out, ensure that in circulation to be not in biggish spike ripple；In addition to this, which is able to carry out state pressure and cuts
It changes, circulation is controlled near a reference value always, achieve the purpose that inhibit low frequency circulation, while reduced circulation is also further
Unit module DC voltage ripple is reduced, to obtain better output voltage waveforms.So the present invention can be defeated in guarantee
Low frequency circulation is controlled by pulsqe distributor under the premise of voltage is exactly equal to target waveform out, farthest reduces unit mould
The size of block switching current stress；While controlling low frequency circulation, also can guarantee switch motion total degree minimum and
It homogenizes, thus this key property of the maintenance unit module capacitance balance of voltage.
Detailed description of the invention
Fig. 1 is five level block multi-level converter MMC topological diagrams；
Fig. 2 is low frequency circulation inhibition method flow chart；
Fig. 3 is five level MMC Switch State Combination in Power Systems and its influence to circulation；
Fig. 4 is five level MMC state machine pulsqe distributors；
Fig. 5 (a) and 5 (b) is loop current suppression effect diagram unused and using the mentioned method of the present invention respectively；
Fig. 6 (a) and 6 (b) is the circulation waveform diagram for not using and using low frequency circulation inhibition method of the present invention respectively.
Specific embodiment
In the following with reference to the drawings and specific embodiments, a specific embodiment of the invention is further illustrated.
Fig. 1 is the system construction drawing Yu module list of the single-phase topology of five level block multi-level converters used in the present invention
Meta structure figure.The single-phase topology is made of upper and lower two bridge arms, and each bridge arm includes N number of submodule, the switch of each submodule
Function is σjn(wherein, j is the code of upper and lower bridge arm, bridge arm in j=u representatives, and j=l represents lower bridge arm, and n is the module in bridge arm
Unit number, value range are 1 positive integer for arriving N), modular unit capacitor both end voltage size is U, and upper and lower bridge arm respectively contains one
A current-limiting inductance, value L.The external AC system in upper and lower bridge arm inductance midpoint, and the upper and lower external direct current system of bridge arm outermost
System.
In conjunction with the five level topological structure, as shown in Fig. 2, the more level of pulsewidth modulation lower moduleization are laminated in carrier wave of the invention
The low frequency circulation inhibition method of converter specifically comprises the following steps:
Step 1: all different Switch State Combination in Power Systems of five level block multi-level converters of analysis are listed such as Fig. 3 institute
All switch combination states for the five level topology shown, and only retain and all make that circulation is unchanged and change rate △ I=U/2L (U
For unit module capacitance voltage value, L is bridge arm inductance value) Switch State Combination in Power Systems.
Wherein, make circulation is unchanged to refer to: the unit module number of each mutually upper and lower bridge arm conducting of Modular multilevel converter
N is summed to, stagnation pressure is reduced to zero on its bridge arm inductance of the fluctuation of capacitance voltage if not considering.Circulation is changed to refer to: upper,
The unit module number of lower bridge arm conducting is added up not equal to N.Circulation change rate △ I U/2L is set to refer to that unit module number sum is equal to
N+1 or N-1, wherein unit module number sum is that N+1 represents electric current decline, represents electric current rising for N-1.It made a concrete analysis of
Journey is as follows:
1, in order to preferably list state machine, make not including alphabetical u and l in state, by opening for upper and lower bridge arm unit module
Function order is closed to redefine are as follows:
σl1→σ4, σl2→σ2, σu1→1-σ1, σu2→1-σ3
Wherein, first unit switch function of lower bridge arm is in the 4th (highest order), second unit switch of upper bridge arm
The non-value of function is in third position, and the switch function of second unit of lower bridge arm is in second, first switch letter of upper bridge arm
Several non-value is in first (lowest order), and the thus change of redundant state only needs to move to left its switch combination state or right
Move operation；
2, defined variable H is indicated by switch function σ4σ3σ2σ1The assembled state of composition, subscript indicate the assembled state
Hexadecimal values；
3, target level is divided into five level grades, i.e. L1、L2、L3、L4、L5, level ladder span is 1；
4, the common-mode voltage of Modular multilevel converter is the common mode component in upper and lower bridge arm output voltage, expression
Formula are as follows:
5, ignore influence of the submodule capacitor voltage ripple to common-mode voltage, when group module capacitance value is sufficiently large,
DC voltage is approximately constant U, then common-mode voltage common mode switch function representation are as follows:
Meet as a result, in the changing rule of any switching time circulation:
6, all Switch State Combination in Power Systems for making circulation changing rule meet △ I=± U/2 are calculated: according to above formula with phase
For bridge arm shares the system of 4 unit modules, bridge arm meets △ I when 1 unit module of 3 unit modules or conducting is always connected
This requirement of=± U/2, wherein the former reduces circulation, and the latter increases circulation.
As shown in figure 3, five level 2N+1 type Modular multilevel converters share 16 different Switch State Combination in Power Systems.For
Reduction circulation switching harmonics, ignore when choosing redundant state so that the highest switch state H of circulation change rate5And HA,
Only retain redundant state of 14 switch states as encoder state machine device.Switch combination meets annular in each level grade
The rule moved to left, in L2And L4Level state, the variation of an annular circulation of shift left operation is just reversed primary every time, and in L1、
L3、L5In the redundant state of level grade, the size of common mode current is kept constant.
Step 2: all Switch State Combination in Power Systems met the requirements according to obtained in step 1 establish five electricity shown in Fig. 4
The reset condition type pulsqe distributor of flat Modular multilevel converter.The essential characteristic and design of the five level states machine are thought
Think are as follows:
1, there are 20 basic status.
2, state switching mode is 32 kinds total, wherein minimum and maximum level still supplies 4 basic status.
3, level area is divided to switch state combination table, is a level band by two adjacent level grade classifications.
Five-level converter has L1To L5Five level can be divided into four level band, respectively (1) L5-L4Level band；(2)L4-L3
Level band；(3)L3-L2Level band；(4)L2-L1Level band.
4, redundant state is selected, main includes following several sub-steps:
4.1、L1And L5Only one state of level grade is realized.
4.2、L2And L4Level grade has 4 redundant states respectively.Wherein L2Redundant state be respectively 0001 (H1),
0010(H2), 0100 (H4), 1000 (H8), have and only one exports positive logic；L4Redundant state be respectively 0111 (H7),
1011(HB), 1101 (HD), 1110 (HE), have and only one exports negative logic.In order to guarantee the switch motion between submodule
All redundant states of number and power-balance, the two level grades must all come into operation.
4.3、L3Level grade has 6 redundancies since four switch functions can have any two to export positive logic
State, respectively 0011 (H3), 0101 (H5), 0110 (H6), 1001 (H9), 1010 (HA), 1100 (HC), in order to avoid to circulation
Excessive change, only need to choose wherein four be used as redundant state, i.e. H3, H6, HC, H9, meet and move to left rule.
5, redundant state is ranked up, main includes following several sub-steps:
5.1, two level grades mutually switch two conditions that need to meet in a level band, i.e. (1) level grade switches
When have and only one modular unit act；(2) modular unit just acted need to wait until other all units of the level band
After having identical movement, it can act again.
5.2, regular by L according to moving to left2,L3,L4Redundant state in level grade is arranged, i.e. H1→H2→H4→
H8, H3→H6→HC→H9, H7→HE→HD→HB。
5.3, it is required according to the switching of the 5.1 adjacent levels grades, the state change in each level band meets
①L5-L4Level band
H7→HF→HE→HF→HD→HF→HB→HF→H7；
②L4-L3Level band
H3→H7→H6→HE→HC→HD→H9→HB→H3；
③L3-L2Level band
H1→H3→H2→H6→H4→HC→H8→H9→H1；
4. L2-L1 level band
H0→H1→H0→H2→H0→H4→H0→H8→H0。
State machine pulsqe distributor path in the present invention ensure that have when level grade changes and only one
Submodule movement.Such as current state is H3If level grade is from L3To L4Transfer, state change is H at this time3→H7, this mistake
Cheng Zhongyou and only switch σ3Movement, remaining is remained unchanged, and is reduced the switching frequency of submodule to the maximum extent, is protected simultaneously
The homogenization of switch motion is demonstrate,proved.In order to make state machine ergodic property best, five level block multi-level converters are used
Pulsewidth modulation strategy is laminated in carrier wave.In addition, from the variation path of Fig. 4 state machine: the variation of circulation always according to it is constant-
What the rule of increase-constant-reduction successively carried out, it is suppressed that the spike ripple in circulation.It is worth noting that, by Fig. 4 shape
The path of state machine is it is found that in L2And L4Redundant state is switched in level grade increases and decreases circulation alternately.
Step 3: in order to be stablized near instruction value using this variation of circulation, low frequency loop current suppression plan is proposed
Slightly, the flow chart carries out direction switching in particular moment to circulation according to fig. 2, to L2、L4Level grade uses the control of low frequency circulation
System strategy.Specific sub-step are as follows:
1, circulation is sampled in the carrier peak value of L1, L3, L5 or valley moment；
2, judge whether the sampling ring flow valuve is greater than the coboundary of a reference value or is less than lower boundary；
2.1, if more than coboundary, continue to judge whether next switch combination state makes common mode current continue to increase；
1. if actual rings flow valuve is greater than a reference value coboundary, and NextState continues growing common mode current, then forces shape
State machine, which jumps in the level grade closely next state of the state and reduces circulation, to be come close to a reference value；
2. if actual rings flow valuve is greater than a reference value coboundary, and current state common mode current does not continue to increase, then keeps
The state in state machine；
If 2.2, being less than lower boundary, continue to judge whether next switch combination state makes common mode current continue to reduce；
1. if actual rings flow valuve is less than a reference value lower boundary, and NextState makes common mode current continue to reduce, then forces shape
State machine jumps in the level grade that closely next state of the state comes circulation increase close to a reference value；
2. if actual rings flow valuve is less than a reference value lower boundary, and current state common mode current does not continue to reduce, then keeps
The state in state machine；
If 3, circulation actual value is within the scope of a reference value up-and-down boundary, the state in hold mode machine.
The mentioned low frequency loop current suppression strategy of the present invention is further described in detail by taking Fig. 5 as an example below:
At the time of Fig. 5 (a) is the sampling instant and possible state switching of circulation under carrier wave stacking pulsewidth modulation strategy,
The wherein level grade L on circulation state without influence1、L3、L5In carrier peak value or valley moment as circulation sampling instant.And
It is next level switching moment of the closely sampling instant that possible state, which forces switching moment, but whether state forces to switch
Depending on the sampled value size of current circulation, DC loop-current instruction value and NextState are to the change direction of circulation, in conjunction with this
Invent proposed low frequency circulation inhibition method.Fig. 5 (b) be low frequency circulation optimal control schematic diagram, due to unit module capacitance compared with
The small low frequency circulation that can have biggish two frequency multiplication in the state that script circulation should remain unchanged, and deviate instruction value farther out.If
Sampling gained circulation is lower than instruction value lower boundary at this time and the state continues to reduce circulation, then enables low frequency loop current suppression side
Method forces circulation to enter L4Next redundant state of level grade, i.e., carry out pressure Reverse Turning Control to circulation, close to instruction
Value to achieve the purpose that inhibit low frequency circulation, while can also reduce capacitance voltage ripple to a certain extent.Fig. 6 (a) is
Modular multilevel circulation waveform diagram of the invention is not used, and the positive maximum value of circulation has reached 20A at this time, and reversed maximum
Value has then reached -10A, and circulation ripple has reached 30A.Fig. 6 (b) is using the circulation wave after low frequency loop current suppression strategy of the present invention
Shape figure, the positive maximum value of circulation is reduced to about 8A at this time, and reversed maximum value is reduced to about -3A, and circulation ripple is by from original
30A has been suppressed to about 11A, greatly reduces the current stress of bridge arm switching device, reduces device loss.
Step 4: analyzing the modular unit switch motion change rule of a primitive period, calculated, each meeting
Accumulative charging and discharging currents in one primitive period of modular unit capacitor adjust the limitation bandwidth of circulation in real time under the premise of being zero
Size, or the appropriate switching frequency for increasing modular unit, to meet unit module capacitor voltage balance simultaneously and circulation presses down on demand
Make the two targets.
Claims (5)
1. a kind of low frequency circulation inhibition method of carrier wave stacking pulsewidth modulation lower module multi-level converter, which is characterized in that
The following steps are included:
(1) analysis obtains all different Switch State Combination in Power Systems for the Modular multilevel converter that bridge arm unit number of modules is N, protects
All Switch State Combination in Power Systems for keeping circulation unchanged with change rate △ I U/2L are stayed, every other Redundanter schalter state group is removed
It closes, wherein U is unit module capacitance voltage value, and L is bridge arm inductance value；
(2) the reset condition type pulsqe distributor for establishing Modular multilevel converter, guarantees each modular unit pulse distribution
Homogenization and master switch movement number minimum；According to each selected switch combination of common mode switch Functional Analysis to the shadow of circulation
It rings, so that the variation tendency of circulation meets always, constant-reduction is-constant-to increase this staggeredly rule；
(3) it selectes and the level without influence currently is changed on circulation, in the carrier peak value or valley detection main circuit where the level
The real value size of middle circulation, and determine that state selects according to next Switch State Combination in Power Systems of circulation value size and reset condition machine
Path；
(4) the modular unit switch motion change rule of a primitive period analyzed, calculated, meeting each modular unit
Accumulative charging and discharging currents in one primitive period of capacitor adjust the limitation amount of bandwidth of circulation in real time under the premise of being zero, or suitable
When the switching frequency for increasing modular unit, with meet unit module capacitor voltage balance and circulation inhibits the two mesh on demand simultaneously
Mark.
2. the low frequency loop current suppression side of carrier wave stacking pulsewidth modulation lower module multi-level converter according to claim 1
Method, which is characterized in that in step (1), make circulation is unchanged to refer to: each mutually upper and lower bridge arm conducting of Modular multilevel converter
Unit module number sum to N, if not considering, stagnation pressure is reduced to zero on its bridge arm inductance of the fluctuation of capacitance voltage；Become circulation
Rate △ I is that U/2L refers to that unit module number sum is equal to N+1 or N-1, and wherein unit module number sum is that N+1 represents electric current
Decline represents electric current rising for N-1.
3. a kind of low frequency circulation suppression of carrier wave stacking pulsewidth modulation lower module multi-level converter according to claim 1
Method processed, which is characterized in that original a total of 2N+1 target level of state machine in step (2), and each target level has
2N optional redundant states；One and only one unit module acts when each target level variation.
4. the low frequency loop current suppression side of carrier wave stacking pulsewidth modulation lower module multi-level converter according to claim 1
Method, which is characterized in that in step (3), state is determined according to next Switch State Combination in Power Systems of circulation value size and reset condition machine
Selection path includes:
If circulation value meets condition (a) one of to condition (c), state select path according to reset condition machine given route into
Row:
(a) circulation detected value is less than the upper limit value and lower limit value of its setting；
(b) circulation detected value is greater than the upper limit value of its setting, but next Switch State Combination in Power Systems of reset condition machine will make the circulation
Value reduces；
(c) circulation detected value is less than the lower limit value of its setting, but next Switch State Combination in Power Systems of reset condition machine will make the circulation
Value increases；
If circulation value meets condition (d) one of to condition (e), state selection path will improve reset condition machine, will
Next Switch State Combination in Power Systems of reset condition machine forces the adjacent switch assembled state being switched under its same level:
(d) circulation detected value is greater than the upper limit value of its setting, and next Switch State Combination in Power Systems of reset condition machine will make the circulation
Value continues to increase；
(e) circulation detected value is less than the lower limit value of its setting, and next Switch State Combination in Power Systems of reset condition machine will make the circulation
Value continues to reduce.
5. a kind of low frequency circulation suppression of carrier wave stacking pulsewidth modulation lower module multi-level converter according to claim 1
Method processed, which is characterized in that in step (4), the size of circulation setting value is true according to unit module capacitance, bridge arm inductance value
Fixed: if capacitance, inductance value are smaller, circulation setting value need to be increased accordingly；If capacitance, inductance value are larger, circulation setting value is needed
It is corresponding to reduce.
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| CN110994964A (en) * | 2019-11-12 | 2020-04-10 | 东南大学 | Modulation method for reducing alternating current voltage low-order harmonic waves of modular multilevel converter |
| CN114865935A (en) * | 2022-02-25 | 2022-08-05 | 上海电力大学 | Carrier hybrid pulse width modulation strategy control method of modular multilevel converter |
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| CN106230293A (en) * | 2016-09-22 | 2016-12-14 | 东南大学 | The state machine type pulse allocating method of centralized Multilevel modulation strategy |
| CN106357141A (en) * | 2016-09-29 | 2017-01-25 | 国网青海省电力公司经济技术研究院 | Reduced voltage operation method for hybrid MMC-HVDC (modular multilevel converter based high voltage direct current) system |
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| CN110994964A (en) * | 2019-11-12 | 2020-04-10 | 东南大学 | Modulation method for reducing alternating current voltage low-order harmonic waves of modular multilevel converter |
| CN110994964B (en) * | 2019-11-12 | 2021-06-15 | 东南大学 | Modulation method for reducing alternating current voltage low-order harmonic waves of modular multilevel converter |
| CN114865935A (en) * | 2022-02-25 | 2022-08-05 | 上海电力大学 | Carrier hybrid pulse width modulation strategy control method of modular multilevel converter |
| CN114865935B (en) * | 2022-02-25 | 2024-05-24 | 上海电力大学 | Carrier mixed pulse width modulation strategy control method of modularized multi-level converter |
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