CN105375801B - Voltage-sharing control method for modular multilevel converter - Google Patents

Voltage-sharing control method for modular multilevel converter Download PDF

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CN105375801B
CN105375801B CN201510736687.XA CN201510736687A CN105375801B CN 105375801 B CN105375801 B CN 105375801B CN 201510736687 A CN201510736687 A CN 201510736687A CN 105375801 B CN105375801 B CN 105375801B
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mrow
voltage
capacitance voltage
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CN105375801A (en
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郭琦
王嘉钰
林雪华
李岩
刘崇茹
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China South Power Grid International Co ltd
North China Electric Power University
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China South Power Grid International Co ltd
North China Electric Power University
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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
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion 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
    • H02M7/483Converters with outputs that each can have more than two voltages levels
    • 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
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion 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
    • H02M7/483Converters with outputs that each can have more than two voltages levels
    • H02M7/4835Converters 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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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)

Abstract

The invention discloses a voltage-sharing control method of a modular multilevel converter, belonging to the technical field of capacitor voltage control. Initializing the capacitor voltage values of all sub-modules in the voltage-sharing controller; collecting bridge arm current of each phase of the modular multilevel converter, differentiating by using the voltage-current relation of capacitors to obtain the capacitance voltage change value of each control period of all sub-modules, and correcting the capacitance voltage of all sub-modules in the voltage-sharing controller; and acquiring errors between the capacitor voltage storage value in the voltage-sharing controller and the capacitor voltage acquisition value by acquiring a small amount of capacitor voltage, and correcting the capacitor voltage of all sub-modules in the voltage-sharing controller again. The voltage-sharing control of the modular multilevel converter is realized by collecting bridge arm current and a small amount of capacitor voltage, real-time collection of a large amount of sub-module capacitor voltage can be avoided, the voltage-sharing control effect is ensured, and a feasible solution is provided for reducing data communication traffic in actual voltage-sharing control and improving engineering efficiency.

Description

A kind of modularization multi-level converter pressure equalizing control method
Technical field
The invention belongs to capacitance voltage control technology field, more particularly to a kind of modularization multi-level converter Pressure and Control Method.
Background technology
With the development of voltage source converter (voltage source converter, VSC) and pulse modulation technology, High voltage dc transmission technology receives more and more attention, can be widely applied for small-power transmission of electricity, regenerative resource it is grid-connected and Powered to passive network.But the topological structure of the level of VSC generally uses 2 or 3 level, dynamic voltage balancing difficulty, Gao Kai be present in it The shortcomings of closing frequency.Modularization multi-level converter (modular multilevel converter, MMC) is as a kind of new Voltage source converter, received more and more attention in research at home and abroad.The each bridge arms of MMC are by multiple modular Submodule and bridge arm inductance are in series, by the triggering state of IGBT inside control submodule, to realize the superposition of more level Output.
With the lifting of transimission power and the increase of level number, the control to MMC systems brings certain challenge.Submodule Controlling unit necessary to Pressure and Control are MMC, fluctuated up and down to ensure that the capacitance voltage value of submodule maintains rated value, with Reduce the bridge arm voltage harmonic content of transverter output.No matter the MMC systems of high level use any modulation strategy, and it is carried out It is required to gather the capacitance voltage of all submodules during Pressure and Control, is then calculated using Pressure and Control corresponding with modulation strategy Method, complete the flow of whole Pressure and Control.
But by taking the MMC systems of N+1 level as an example, the upper and lower bridge arm of each phase is both needed to when Pressure and Control are carried out Gather the capacitance voltage of N number of submodule.When N numerical value becomes big, just mutually strain is big for the capacitance voltage quantity of collection, for control The requirement in cycle is also higher:In real-time simulator (Real Time Digital Simulation, RTDS), passed using optical fiber The capacitance voltage of defeated 512 submodules is, it is necessary to take the cycle that 4 small steps are about common 10us;In Practical Project, Pressure and Control Need to gather the capacitance voltage of the submodule of scattered arranged in series, remerge and be ranked up together, this can also consume more Control time.
Therefore, the present invention proposes a kind of modularization multi-level converter pressure equalizing control method, by gather bridge arm current and A small amount of capacitance voltage realizes the Pressure and Control of modularization multi-level converter, to reduce the data traffic in actual Pressure and Control A kind of practicable solution route is provided.
The content of the invention
It is an object of the invention to propose a kind of modularization multi-level converter pressure equalizing control method, it is characterised in that bag Include following steps:
1) different situations that whether submodule is pre-charged when being started according to modularization multi-level converter, initialization are voltage-controlled The capacitance voltage value of all submodules inside device processed;When submodule is uncharged, by all submodules inside even pressure controller The capacitance voltage of block is initialized as 0;When submodule has been precharged to rated value, by all submodules inside even pressure controller Capacitance voltage be initialized as rated value Ucref
2) bridge arm current of each phase of acquisition module multilevel converter, it is poor to be carried out using the voltage-current relationship of electric capacity Differentiation, obtain each controlling cycle Δ t of all submodules capacitance voltage changing value Δ Uc(t);By the electric capacity of all submodules Voltage Uctr_i(t) overlap capacitance voltage change Δ Uc(t) capacitance voltage of all submodules inside even pressure controller, is corrected Uctr_i(t) the capacitance voltage U of each submodule of t+ time Δts, is obtainedctr_i(t+Δt);
3) k capacitance voltage is gathered, k is positive integer and k=0.25N, N are submodule sum, k electric capacity on single bridge arm The capacitance voltage U of an input submodule is included in voltagecr_m(t+Δt);If the input submodule is m-th of submodule, m is Positive integer, then read the capacitance voltage U of m-th of submodule of even pressure controller storage insidectr_m(t+ Δ t), and then obtain equal The capacitance voltage U of m-th of submodule of pressure controller storage insidectr_m(t+ Δ t) and collection value Ucr_m(the mistake between t+ Δs t) Difference DELTA Ucd(t+Δt);
4) error amount Δ U is utilizedcd(t+ Δs t) corrects the capacitance voltage U of each submodule of t+ time Δtsctr_i(t+Δt); As i=m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+Δt);As i ≠ m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+ Δ t) with ΔUcd(t+ Δs t) difference;The capacitance voltage of all submodules in even pressure controller inside is sorted, selects corresponding submodule to carry out Input, realizes modularization multi-level converter Pressure and Control.
The voltage-current relationship of the electric capacity is:
In formula (1), C is the capacitance of submodule electric capacity;Uc(t) it is the capacitance voltage of t submodule;I (t) is t Moment flows through the electric current of submodule.
The capacitance voltage changing value Δ Uc(t) calculation formula is:
In formula (2), C is the capacitance of submodule electric capacity;Uc(t- Δs t) is the capacitance voltage of t- time Δt submodules; ic(t- Δs t) is the electric current that t- time Δts flow through submodule.
The capacitance voltage value U of each submodule of t+ time Δtsctr_i(t+ Δs t) calculation formula is:
Uctr_i(t+ Δs t)=Uctr_i(t)+FPi1(t)*ΔUc(t) (3)
In formula (3), FPi1(t) the input state of submodule electric capacity is represented;When group module capacitance is put into, FPi1(t)= 1;When submodule is not put into, FPi1(t)=0.
The capacitance voltage U of m-th of submodule of the even pressure controller storage insidectr_m(t+ Δ t) and collection value Ucr_m (the error amount Δ U between t+ Δs t)cd(t+ Δs t)=Uctr_m(t+Δt)-Ucr_m(t+Δt)。
The beneficial effects of the invention are as follows in current Pressure and Control exist collection transmission capacitance voltage quantity it is excessive, cause The problem of simulation time is long or simulation step length is limited, it is proposed that a kind of modularization multi-level converter pressure equalizing control method, lead to Cross collection bridge arm current and a small amount of capacitance voltage realizes the Pressure and Control of modularization multi-level converter, it is substantial amounts of so as to avoid The real-time collection of submodule capacitor voltage, can either reduce the time that collection capacitance voltage takes in controlling cycle, and and can is enough Ensure that the Pressure and Control effect of submodule is unaffected, to reduce the data traffic in actual Pressure and Control, improving engineering effect Rate provides a kind of practicable solution route.
Brief description of the drawings
Fig. 1 is a kind of modularization multi-level converter pressure equalizing control method flow chart.
Fig. 2 is the single-ended MMC DC transmission systems simulation model figure of 21 level.
Fig. 3 is bridge arm capacitance voltage oscillogram in A phases.
Embodiment
The present invention proposes a kind of modularization multi-level converter pressure equalizing control method, below in conjunction with the accompanying drawings and specific embodiment The present invention is elaborated.
Fig. 1 show a kind of modularization multi-level converter pressure equalizing control method flow chart, comprises the following steps:
1) different situations that whether submodule is pre-charged when being started according to modularization multi-level converter, initialization are voltage-controlled The capacitance voltage value of all submodules inside device processed;When submodule is uncharged, by all submodules inside even pressure controller The capacitance voltage of block is initialized as 0;When submodule has been precharged to rated value, by all submodules inside even pressure controller Capacitance voltage be initialized as rated value Ucref
2) bridge arm current of each phase of acquisition module multilevel converter, it is poor to be carried out using the voltage-current relationship of electric capacity Differentiation, obtain each controlling cycle Δ t of all submodules capacitance voltage changing value Δ Uc(t);By the electric capacity of all submodules Voltage Uctr_i(t) overlap capacitance voltage change Δ Uc(t) capacitance voltage of all submodules inside even pressure controller, is corrected Uctr_i(t) the capacitance voltage U of each submodule of t+ time Δts, is obtainedctr_i(t+Δt);
3) k capacitance voltage is gathered, k is positive integer and k=0.25N, N are submodule sum, k electric capacity on single bridge arm The capacitance voltage U of an input submodule is included in voltagecr_m(t+Δt);If the input submodule is m-th of submodule, m is Positive integer, then read the capacitance voltage U of m-th of submodule of even pressure controller storage insidectr_m(t+ Δ t), and then obtain equal The capacitance voltage U of m-th of submodule of pressure controller storage insidectr_m(t+ Δ t) and collection value Ucr_m(the mistake between t+ Δs t) Difference DELTA Ucd(t+Δt);
4) error amount Δ U is utilizedcd(t+ Δs t) corrects the capacitance voltage U of each submodule of t+ time Δtsctr_i(t+Δt); As i=m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+Δt);As i ≠ m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+ Δ t) with ΔUcd(t+ Δs t) difference;The capacitance voltage of all submodules in even pressure controller inside is sorted, selects corresponding submodule to carry out Input, realizes modularization multi-level converter Pressure and Control.
Wherein, the voltage-current relationship of the electric capacity is:
In formula (1), C is the capacitance of submodule electric capacity;Uc(t) it is the capacitance voltage of t submodule;I (t) is t Moment flows through the electric current of submodule.
Wherein, the capacitance voltage changing value Δ Uc(t) calculation formula is:
In formula (2), C is the capacitance of submodule electric capacity;Uc(t- Δs t) is the capacitance voltage of t- time Δt submodules; ic(t- Δs t) is the electric current that t- time Δts flow through submodule.
Wherein, the capacitance voltage value U of each submodule of t+ time Δtsctr_i(t+ Δs t) calculation formula is:
Uctr_i(t+ Δs t)=Uctr_i(t)+FPi1(t)*ΔUc(t) (3)
In formula (3), FPi1(t) the input state of submodule electric capacity is represented;When group module capacitance is put into, FPi1(t)= 1;When submodule is not put into, FPi1(t)=0.
Wherein, the capacitance voltage U of m-th of submodule of the even pressure controller storage insidectr_m(t+ Δ t) and collection value Ucr_m(the error amount Δ U between t+ Δs t)cd(t+ Δs t)=Uctr_m(t+Δt)-Ucr_m(t+Δt)。
Specifically,
The single-ended MMC DC transmission systems simulation model figure of 21 level as shown in Figure 2 is built in PSCAD/EMTDC, is imitated True parameter such as table 1;
The simulation parameter table of table 1
Rectification side, which uses, in MMC systems determines active power and Reactive Power Control, the active power and reactive power of control Respectively 10MW and 3Mvar, modulation strategy approach modulation using nearest level.
When MMC systems and controller start, the submodule capacitor voltage value inside even pressure controller is initialized, All submodule capacitor voltages are broadly divided into two kinds of different situations:Submodule is not pre-charged, submodule be precharged to it is specified Value;When submodule is not pre-charged, then all submodule capacitor voltages inside even pressure controller are initialized as 0;Work as submodule When block has been precharged to rated value, then it is specified all submodule capacitor voltages inside even pressure controller to be initialized as submodule Value 2.0kV.
The bridge arm current of each phase of acquisition module multilevel converter, difference is carried out using the voltage-current relationship of electric capacity Change, obtain each controlling cycle Δ t of all submodules capacitance voltage changing value Δ Uc(t);
The voltage-current relationship of electric capacity is:
In formula (1), C is the capacitance of submodule electric capacity;Uc(t) it is the capacitance voltage of t submodule;I (t) is t Moment flows through the electric current of submodule;
Formula (1) progress differencing is obtained:
In formula (2), C is the capacitance of submodule electric capacity;Uc(t- Δs t) is the capacitance voltage of t- time Δt submodules; ic(t- Δs t) is the electric current that t- time Δts flow through submodule;
Due to bridge arm Neutron module be series connection and capacitance C it is equal, therefore in bridge arm flow into input submodule bridge arm Electric current is all equal;Between each submodule put into for same bridge arm, i in formula (2)c(t) it is equal, and formula (2) i inc(t- Δs t) is equal;Therefore, each controlling cycle Δ t of all submodules electric capacity electricity can be obtained according to formula (2) Press changing value Δ Uc(t)。
By the capacitance voltage U of all submodulesctr_i(t) overlap capacitance voltage change Δ Uc(t) even pressure controller, is corrected The capacitance voltage U of internal all submodulesctr_i(t) the capacitance voltage U of each submodule of t+ time Δts, is obtainedctr_i(t+Δ t);The capacitance voltage value U of each submodule of t+ time Δtsctr_i(t+ Δs t) calculation formula is:
Uctr_i(t+ Δs t)=Uctr_i(t)+FPi1(t)*ΔUc(t) (3)
In formula (3), FPi1(t) the input state of submodule electric capacity is represented;When group module capacitance is put into, FPi1(t)= 1;When submodule is not put into, FPi1(t)=0.
The capacitance voltage value of each submodule of t+ time Δts can be obtained by formula (3), without from MMC systems The capacitance voltage of all submodules is gathered in real time, so as to reduce the time that collection capacitance voltage takes in controlling cycle.
K capacitance voltage is gathered, k is positive integer and k=0.25N, N are submodule sum on single bridge arm, and k electric capacity is electric The capacitance voltage U of an input submodule is included in pressurecr_m(t+Δt);Built by Fig. 2 in system in A phases exemplified by bridge arm, if A small amount of capacitance voltage of collection is 5, and each bridge arm submodule number is N=20, and submodule capacitor voltage is therefore also right 20 are should be, bridge arm Neutron module numbering is 1 to 20.
If the input submodule is m-th of submodule, m is positive integer, then read even pressure controller storage inside m-th The capacitance voltage U of submodulectr_m(t+ Δ t), and then obtain the capacitance voltage of m-th of submodule of even pressure controller storage inside Uctr_m(t+ Δ t) and collection value Ucr_m(the error amount Δ U between t+ Δs t)cd(t+ Δ t), i.e.,:ΔUcd(t+ Δs t)=Uctr_m(t +Δt)-Ucr_m(t+Δt)。
Utilize error amount Δ Ucd(t+ Δs t) corrects the capacitance voltage U of each submodule of t+ time Δtsctr_i(t+Δt);When During i=m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+Δt);As i ≠ m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+ Δ t) and Δ Ucd(t+ Δs t) difference;The capacitance voltage of all submodules in even pressure controller inside is sorted, selects corresponding submodule to be thrown Enter, realize modularization multi-level converter Pressure and Control.
By the capacitance voltage of any one the input submodule gathered in real time, to correct because even pressure controller computing produces Accumulated error, so as to ensure that the Pressure and Control effect of submodule is not influenceed by accumulated error.
It is proposed by the invention for the single-ended MMC DC transmission systems simulation model of 21 level built in embodiment, utilization Modularization multi-level converter pressure equalizing control method carry out Pressure and Control, bridge arm capacitance voltage oscillogram in resulting A phases As shown in Figure 3;As seen from Figure 3:For submodule capacitor voltage undulate quantity less than the 8% of rated value, control effect is good;Son The real-time collection capacity of module capacitance voltage significantly reduces, so as to avoid a large amount of submodule electric capacity electricity in actual Pressure and Control application The real-time collection of pressure, can either reduce the time that collection capacitance voltage takes in controlling cycle, and and can enough ensures submodule Pressure and Control effect is unaffected, and to reduce the data traffic in actual Pressure and Control, raising engineering efficiency provides one kind and cut Real feasible solution route.
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto, Any one skilled in the art the invention discloses technical scope in, the change or replacement that can readily occur in, It should all be included within the scope of the present invention.Therefore, protection scope of the present invention should be with the protection domain of claim It is defined.

Claims (4)

1. a kind of modularization multi-level converter pressure equalizing control method, it is characterised in that comprise the following steps:
1) different situations that whether submodule is pre-charged when starting according to modularization multi-level converter, even pressure controller is initialized The capacitance voltage value of internal all submodules;When submodule is uncharged, by all submodules inside even pressure controller Capacitance voltage is initialized as 0;When submodule has been precharged to rated value, by the electricity of all submodules inside even pressure controller Appearance voltage initialization is rated value Ucref
2) bridge arm current of each phase of acquisition module multilevel converter, difference is carried out using the voltage-current relationship of electric capacity Change, obtain each controlling cycle Δ t of all submodules capacitance voltage changing value Δ Uc(t);By the electric capacity electricity of all submodules Press Uctr_i(t) overlap capacitance voltage change Δ Uc(t) the capacitance voltage U of all submodules inside even pressure controller, is correctedctr_i (t) the capacitance voltage U of each submodule of t+ time Δts, is obtainedctr_i(t+Δt);
3) k capacitance voltage is gathered, k is positive integer and k=0.25N, N are submodule sum, k capacitance voltage on single bridge arm In comprising one input submodule capacitance voltage Ucr_m(t+Δt);If the input submodule is m-th of submodule, m is just whole Number, then read the capacitance voltage U of m-th of submodule of even pressure controller storage insidectr_m(t+ Δ t), and then obtain voltage-controlled The capacitance voltage U of m-th of submodule of device storage inside processedctr_m(t+ Δ t) and collection value Ucr_m(the error amount between t+ Δs t) ΔUcd(t+Δt);
4) error amount Δ U is utilizedcd(t+ Δs t) corrects the capacitance voltage U of each submodule of t+ time Δtsctr_i(t+Δt);Work as i= During m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+Δt);As i ≠ m, Uctr_i(t+ Δs t) is modified to Ucr_m(t+ Δ t) and Δ Ucd (t+ Δs t) difference;The capacitance voltage of all submodules in even pressure controller inside is sorted, selects corresponding submodule to be thrown Enter, realize modularization multi-level converter Pressure and Control.
A kind of 2. modularization multi-level converter pressure equalizing control method according to claim 1, it is characterised in that the electric capacity Voltage-current relationship be:
<mrow> <mi>i</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>C</mi> <mfrac> <mrow> <msub> <mi>dU</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula (1), C is the capacitance of submodule electric capacity;Uc(t) it is the capacitance voltage of t submodule;I (t) is t stream Electric current through submodule.
A kind of 3. modularization multi-level converter pressure equalizing control method according to claim 1, it is characterised in that the electric capacity Voltage change Δ Uc(t) calculation formula is:
<mrow> <msub> <mi>&amp;Delta;U</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>U</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>U</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>&amp;Delta;</mi> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>&amp;Delta;</mi> <mi>t</mi> </mrow> <mrow> <mn>2</mn> <mi>C</mi> </mrow> </mfrac> <mo>&amp;lsqb;</mo> <msub> <mi>i</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>i</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>&amp;Delta;</mi> <mi>t</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
In formula (2), C is the capacitance of submodule electric capacity;Uc(t- Δs t) is the capacitance voltage of t- time Δt submodules;ic(t- Δ t) is the electric current that t- time Δts flow through submodule.
A kind of 4. modularization multi-level converter pressure equalizing control method according to claim 1, it is characterised in that the t+ Δs The capacitance voltage value U of each submodule of tctr_i(t+ Δs t) calculation formula is:
Uctr_i(t+ Δs t)=Uctr_i(t)+FPi1(t)*ΔUc(t) (3)
In formula (3), FPi1(t) the input state of submodule electric capacity is represented;When group module capacitance is put into, FPi1(t)=1;When When submodule is not put into, FPi1(t)=0.
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