CN109995256B - Nine-bridge arm modular multilevel converter with different bridge arm sub-modules, system and method - Google Patents

Nine-bridge arm modular multilevel converter with different bridge arm sub-modules, system and method Download PDF

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CN109995256B
CN109995256B CN201910213819.9A CN201910213819A CN109995256B CN 109995256 B CN109995256 B CN 109995256B CN 201910213819 A CN201910213819 A CN 201910213819A CN 109995256 B CN109995256 B CN 109995256B
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bridge arm
phase
modular multilevel
multilevel converter
leg
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CN109995256A (en
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高峰
秦福田
许涛
马展
蒿天衢
张祯滨
郝全睿
吴强
王晓龙
张承慧
席开华
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Shandong 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
    • 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
    • H02M7/53Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration

Abstract

The topological structure of the single-phase three-bridge arm modular multi-level converter consists of an upper bridge arm, a middle bridge arm and a lower bridge arm, wherein the upper bridge arm and the lower bridge arm respectively consist of K1 and K3 identical half-bridge type sub-modules and a bridge arm inductor cascade, and the middle bridge arm only consists of K2 identical half-bridge type sub-modules in cascade; the three-phase three-bridge arm modular multilevel converter comprises three single-phase three-bridge arm modular multilevel converters, the number of required submodules is further reduced under the condition of obtaining the same output voltage, compared with the traditional six-bridge arm modular multilevel converter, the three-phase three-bridge arm modular multilevel converter has more outstanding volume and cost advantages, and in addition, the voltage utilization rate of a direct current side can be improved.

Description

Nine-bridge arm modular multilevel converter with different bridge arm sub-modules, system and method
Technical Field
The disclosure relates to the technical field of multi-level converters, in particular to a nine-bridge arm modular multi-level converter and a system with different numbers of bridge arm sub-modules.
Background
The traditional six-bridge arm modular multilevel converter has the advantages of modularization, easiness in expansion, low output voltage and current harmonic content and the like, is a multilevel topological structure with the highest potential, and is widely applied to medium-high voltage and high-power occasions such as a high-voltage direct-current power transmission system, a flexible alternating-current power transmission system, motor driving and the like. Many medium-high voltage high-power occasions are provided with two groups of three-phase alternating current output terminals, such as a unified power flow controller, a medium-voltage double-motor drive and the like. In the application scenario, two conventional six-leg modular multilevel converters are generally required to be configured, so that system control becomes complicated, and the system volume and cost are greatly increased, and the specific structure is shown in fig. 1. However, through bridge arm multiplexing, two conventional six-bridge arm modular multilevel converters can be integrated into a compact nine-bridge arm modular multilevel converter with an upper three-phase output terminal group and a lower three-phase output terminal group, and the specific structure is shown in fig. 2.
The inventor finds that, compared with two traditional six-bridge arm modular multilevel converters, although a nine-bridge arm modular multilevel converter only has nine bridge arms and can save bridge arm inductance by 50%, if the number of bridge arm sub-modules of the nine-bridge arm modular multilevel converter is configured by adopting a configuration principle that the number of in-phase bridge arm sub-modules of the traditional six-bridge arm modular multilevel converter is symmetrically equal, the number of sub-modules required by the nine-bridge arm modular multilevel converter is larger than that of the two traditional six-bridge arm modular multilevel converters, and the utilization rate of voltage on a direct current side is reduced. Thus, the nine-bridge arm module multilevel converter has no advantages in system volume and cost.
Disclosure of Invention
One of the purposes of the embodiments of the present specification is to provide a nine-leg modular multilevel converter with different numbers of leg submodules, so that the number of required submodules is further reduced under the condition of obtaining the same output voltage.
The embodiment of the specification provides a nine-bridge arm modular multilevel converter with different bridge arm sub-modules, which is a single-phase three-bridge arm modular multilevel converter, wherein the topological structure of the nine-bridge arm modular multilevel converter comprises an upper bridge arm, a middle bridge arm and a lower bridge arm, the upper bridge arm and the lower bridge arm respectively comprise K1 and K3 identical half-bridge sub-modules and a bridge arm inductor cascade, and the middle bridge arm only comprises K2 identical half-bridge sub-modules in cascade;
the connection point of the lower end of the upper bridge arm inductor and the upper end of the middle bridge arm is an upper output alternating current bus of the phase, the connection point of the upper end of the lower bridge arm inductor and the lower end of the middle bridge arm inductor is a lower output alternating current bus of the phase, each phase is provided with an upper group of alternating current output buses and a lower group of alternating current output buses, and K1, K2 and K3 are integers not less than 0.
The embodiment of the specification also provides a nine-bridge arm modular multilevel converter with different bridge arm sub-modules, which consists of three single-phase three-bridge arm modular multilevel converters;
the upper output ends of the upper bridge arms of the three single-phase three-bridge arm modular multilevel converters are connected together to serve as a positive end of a direct current bus, and the lower output ends of the lower bridge arms are connected together to serve as a negative end of the direct current bus; the upper and lower AC output terminals of each phase constitute an upper and lower two sets of three-phase AC output terminals, respectively.
The upper and lower groups of three-phase alternating current output terminals of the nine-leg modular multilevel converter with different numbers of leg submodules can be directly connected with a three-phase high-voltage power grid or two groups of high-voltage high-power loads, or one group of three-phase alternating current output terminals can be connected with the three-phase high-voltage power grid, and the other group of three-phase alternating current output terminals can be connected with the high-voltage high-power loads.
Compared with the prior art, the beneficial effect of this disclosure is:
the invention is different from the traditional six-bridge arm modular multilevel converter that the number of the upper bridge arm sub-modules and the lower bridge arm sub-modules are symmetrically and equally configured, the number of the upper bridge arm sub-modules, the middle bridge arm sub-modules and the lower bridge arm sub-modules of the nine-bridge arm modular multilevel converter can be flexibly configured according to different operating conditions, and thus the utilization rate of each bridge arm sub-module can be maximized. Compared with the principle that the number of the upper bridge arm sub-modules, the middle bridge arm sub-modules and the lower bridge arm sub-modules is symmetrically arranged, the bridge arm sub-modules can be effectively saved by the aid of the arrangement principle that the number of the bridge arm sub-modules is different, system size and cost are greatly reduced, and the voltage utilization rate of the direct current side of the converter can be improved.
According to the nine-bridge arm modular multilevel converter with different bridge arm sub-modules, the number of the required sub-modules is further reduced under the condition that the same output voltage is obtained, compared with the traditional six-bridge arm modular multilevel converter, the size and cost advantages are more prominent, and in addition, the voltage utilization rate of a direct current side can be improved.
Drawings
The accompanying drawings, which are included to provide a further understanding of the disclosure, illustrate embodiments of the disclosure and together with the description serve to explain the disclosure and are not to limit the disclosure.
FIG. 1: two traditional six-bridge arm modular multilevel converter topology structure diagrams;
FIG. 2: the three-phase nine-bridge arm modular multilevel converter topology structure chart is characterized in that the number of bridge arm sub-modules is symmetrically equal;
FIG. 3: the topology structure diagram of the three-bridge-arm modular multilevel converter of the embodiment of the disclosure with different numbers of sub-modules of a single-phase bridge arm;
FIG. 4: the topology structure diagram of the nine-leg modular multilevel converter of the three-phase leg sub-modules of the embodiment of the disclosure is different in number.
FIG. 5: the nine-leg modular multilevel converter with different numbers of three-phase leg submodules in the embodiment of the disclosure is used for driving two groups of medium-voltage load schematic diagrams.
Detailed Description
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of example embodiments according to the present disclosure. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
Example of implementation 1
The implementation example discloses a nine-bridge arm modular multilevel converter with different numbers of bridge arm sub-modules, which is a single-phase three-bridge arm modular multilevel converter, and is shown in fig. 3, wherein a phase unit of the single-phase three-bridge arm modular multilevel converter consists of an upper bridge arm, a middle bridge arm and a lower bridge arm, the upper bridge arm and the lower bridge arm respectively consist of K1 and K3 identical half-bridge type sub-modules and a bridge arm inductor cascade, and the middle bridge arm only consists of K2 identical half-bridge type sub-modules in cascade. The connection point of the lower end of the upper bridge arm inductor and the upper end of the middle bridge arm is an upper output alternating current bus of the phase, the connection point of the upper end of the lower bridge arm inductor and the lower end of the middle bridge arm inductor is a lower output alternating current bus of the phase, and each phase is provided with an upper group of alternating current output buses and a lower group of alternating current output buses.
There are three cases where K1, K2, and K3 are equal, depending on the case of upper and lower outputs.
In specific implementation, the half-bridge submodule comprises S1 and S2 two fully-controlled semiconductor devices with anti-parallel diodes and a capacitor. Wherein, the emitter of S1 is connected with the collector of S2 and serves as the positive terminal of the half-bridge type submodule; the collector of S1 is connected to the positive terminal of the capacitor and the emitter of S2 is connected to the negative terminal of the capacitor and serves as the negative terminal of the half-bridge sub-module.
In an embodiment, the upper and lower three-phase alternating current output buses of the nine-leg modular multilevel converter with different numbers of leg submodules are directly connected to a three-phase high-voltage power grid or two groups of high-voltage high-power loads.
In another embodiment, one group of ac output terminals of the upper and lower groups of ac output buses of the nine-leg modular multilevel converter with different numbers of leg submodules is connected to a three-phase high-voltage power grid, and the other group of ac output terminals is connected to a high-voltage high-power load.
Example II
The embodiment example discloses a nine-bridge arm modular multilevel converter with different bridge arm sub-modules, three single-phase three-bridge arm modular multilevel converters can form the three-phase nine-bridge arm modular multilevel converter, the upper output ends of the upper bridge arms of the three single-phase three-bridge arm modular multilevel converter are connected together to serve as a direct current bus positive end, and the lower output ends of the lower bridge arms are connected together to serve as a direct current bus negative end. The upper and lower ac output terminals of each phase respectively form an upper and lower two sets of three-phase ac output terminals, as shown in fig. 3, the upper and lower two sets of three-phase ac output terminals may be directly connected to a three-phase high-voltage power grid or two sets of high-voltage high-power loads, or one set of three-phase ac output terminals may be connected to a three-phase high-voltage power grid, and the other set of three-phase ac output terminals is connected to a high-voltage high-power load.
The nine-bridge arm modular multilevel converter with different bridge arm sub-modules has the working principle that:
referring to fig. 1, the number of bridge arm sub-modules of a conventional six-bridge arm modular multilevel converter is configured symmetrically and equally, each phase is composed of an upper bridge arm and a lower bridge arm, each bridge arm is composed of N sub-modules, and a three-phase topology contains 6N sub-modules in total. For two conventional six-leg modular multilevel converters, a total of 12N sub-modules are required. The dc side voltage is NUc.
Referring to fig. 2, each phase of the nine-leg modular multilevel converter is composed of an upper leg, a middle leg and a lower leg, and a three-phase topology totally comprises 9 legs. Compared with two traditional six-bridge arm modular multi-level converters, although 25% of bridge arms and 50% of bridge arm inductances are saved, if a nine-bridge arm modular multi-level converter is configured by adopting the principle that the number of bridge arm sub-modules of the traditional six-bridge arm modular multi-level converter is symmetrical and equal, under the condition that the nine-bridge arm modular multi-level converter has the same output capacity as the two traditional six-bridge arm modular multi-level converters, the nine-bridge arm modular multi-level converter needs 18N sub-modules in total, and the direct-current side voltage of the nine-bridge arm modular multi-level. Therefore, the nine-leg modular multilevel converter needs more submodules, and the direct-current side voltage utilization rate is low.
Referring to fig. 4, each phase of the three-phase nine-leg modular multilevel converter with different numbers of leg submodules still comprises an upper leg, a middle leg and a lower leg, but the upper leg, the middle leg and the lower leg respectively comprise K1 submodules, K2 submodules and K3 submodules, and K1, K2 and K3 are integers not less than 0. The voltage amplitudes and phase differences of the phase voltages of the upper and lower alternating current output ends and the rated sub-module capacitor voltage can be determined according to K1 and K3, and the voltage amplitudes and phase differences of the phase voltages of the upper and lower alternating current output ends and the rated sub-module capacitor voltage can be determined according to K2.
For example, the nominal sub-module capacitor voltage is UcThe amplitude and phase difference of phase voltage at the upper and lower AC output terminals are U1,U2And theta. The values of K1, K2, and K3 are respectively as follows:
Figure RE-GDA0002050546210000061
Figure RE-GDA0002050546210000062
Figure RE-GDA0002050546210000063
wherein ceil is an rounding-up function,
Figure RE-GDA0002050546210000064
therefore, the nine-leg modular multilevel converter with different numbers of leg sub-modules needs 3(K1+ K2+ K3) sub-modules in total, and the direct-current side voltage of the nine-leg modular multilevel converter is
Figure RE-GDA0002050546210000065
The analysis shows that the nine-bridge arm modular multilevel converter with different bridge arm sub-modules can greatly reduce the number of the required sub-modules, reduce the cost and the volume of the converter and improve the utilization rate of the direct-current side voltage.
Example III
The embodiment discloses a control system of a nine-bridge arm modular multilevel converter with different bridge arm sub-modules: the nine-bridge arm modular multilevel converter with different numbers of bridge arm sub-modules can be controlled by adopting the existing pulse width modulation strategy, the capacitance-voltage balance control strategy and the circulation suppression strategy.
In a specific example, the control system includes a master control unit, and the master control unit is connected to the bridge arm reference signal generation control unit, the capacitance-voltage balance control unit, and the circulating current suppression control unit.
The bridge arm reference signal generation control unit generates the upper and lower groups of three-phase alternating current port reference signals by collecting the upper and lower groups of three-phase alternating current port signals and adopting the traditional voltage and current double closed-loop control, and then calculates to obtain the upper, middle and lower bridge arm reference signals.
The capacitor voltage balance control unit is divided into capacitor voltage average control and capacitor voltage balance control, the capacitor voltage average control is that the reference value of the capacitor voltage average value of each phase is differed with the acquired capacitor voltage average value of each phase, the circulating current direct current component reference value of each phase is obtained through a PI controller, then the reference value is differed with the acquired circulating current signal of each phase, and the capacitor voltage average control compensation signal of each phase is obtained through another PI controller; and the capacitance voltage balance control obtains the capacitance voltage balance control compensation signal of each submodule of each phase through the PI controller by taking the difference between the capacitance voltage reference value of each submodule of each phase and the collected capacitance voltage signal of each submodule.
The circulation suppression control unit obtains circulation suppression compensation signals through the PR controller by making difference between the collected circulation signals of each phase and a reference value 0.
The master control unit adds the control signals generated by the control units to obtain the final control signal of each sub-module of each phase, and then sends the final control signal to the carrier phase-shifting pulse width modulation unit to generate the control signal of the switching device of each sub-module of each phase.
The comprehensive control system can realize the control of the three-phase modular multilevel converter and can also realize the control of the single-phase modular multilevel converter.
Example four
In order to better illustrate the actual effect under the technical scheme of the present disclosure, the implementation example uses an actual example in engineering application to illustrate a comparison situation between the nine-leg modular multilevel converter with different numbers of leg sub-modules under the technical scheme of the present disclosure and the prior art.
Referring to fig. 5 in detail, for an embodiment of the present disclosure, the upper and lower output terminals of the nine-leg modular multilevel converter with different numbers of leg sub-modules are respectively connected to two medium-voltage high-power loads. The amplitude of the phase voltage of the upper alternating current output end is 3.2kV, the amplitude of the phase voltage of the lower alternating current output end is 1.8kV, and the phase of the lower alternating current output is delayed by 50 degrees from that of the upper alternating current output. The nominal sub-module capacitor voltage is set to 1 kV. By adopting the design method disclosed by the disclosure, the number of the sub-modules of the upper bridge arm, the middle bridge arm and the lower bridge arm is respectively as follows:
Figure RE-GDA0002050546210000081
Figure RE-GDA0002050546210000082
Figure RE-GDA0002050546210000083
a total of 51 submodules with a dc-side voltage of 8.5kV are required.
If two traditional six-bridge arm modular multilevel converters are adopted to drive the medium-voltage load, a total of 96 submodules are required, and the voltage of the direct-current side is 8 kV. If the nine-bridge-arm modular multilevel converter is configured by adopting the principle that the number of the bridge arm sub-modules is symmetrical and equal, a total of 72 sub-modules are needed, and the voltage of the direct current side of the converter is 12 kV.
Obviously, the nine-bridge-arm modular multilevel converter with different bridge arm sub-modules in the technical scheme can reduce the number of required sub-modules, reduce the size and cost of the converter, and improve the voltage utilization rate of a direct current side.
Example five
The embodiment example discloses a specific application of the technical scheme of the disclosure, and an application, a modular multilevel converter is connected to a unified power flow controller, and when the modular multilevel converter is connected specifically:
the upper alternating current output port of the modular multilevel converter is connected with a high-voltage alternating current power grid in parallel, and the lower alternating current output port of the modular multilevel converter is connected with the high-voltage alternating current power grid in series.
In another application, the modular multilevel converter is connected to a medium-voltage dual-motor, and when the modular multilevel converter is specifically connected:
the upper and lower alternating current output ports of the modular multilevel converter are respectively connected with the corresponding three-phase motors, and the modular multilevel converter can simultaneously drive the two three-phase motors.
It is to be understood that throughout the description of the present specification, reference to the term "one embodiment", "another embodiment", "other embodiments", or "first through nth embodiments", etc., is intended to mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, or materials described may be combined in any suitable manner in any one or more embodiments or examples.
The above description is only a preferred embodiment of the present disclosure and is not intended to limit the present disclosure, and various modifications and changes may be made to the present disclosure by those skilled in the art. Any modification, equivalent replacement, improvement and the like made within the spirit and principle of the present disclosure should be included in the protection scope of the present disclosure.

Claims (5)

1. The nine-bridge arm modular multilevel converter is characterized in that the nine-bridge arm modular multilevel converter consists of three single-phase three-bridge arm modular multilevel converters, the topological structure of the single-phase three-bridge arm modular multilevel converter consists of an upper bridge arm, a middle bridge arm and a lower bridge arm, the upper bridge arm and the lower bridge arm respectively consist of K1 and K3 identical half-bridge type submodules and a bridge arm inductor cascade, and the middle bridge arm only consists of K2 identical half-bridge type submodules in cascade;
the connection point of the lower end of the upper bridge arm inductor and the upper end of the middle bridge arm is an upper output alternating current bus of the phase, the connection point of the upper end of the lower bridge arm inductor and the lower end of the middle bridge arm is a lower output alternating current bus of the phase, and each phase is provided with an upper alternating current output bus and a lower alternating current output bus;
rated submodule capacitor voltage of UcThe amplitude and phase difference of phase voltage at the upper and lower AC output terminals are U1,U2And θ, the values of K1, K2, and K3 respectively represent:
Figure FDA0002408771260000011
Figure FDA0002408771260000012
Figure FDA0002408771260000013
wherein ceil is an rounding-up function,
Figure FDA0002408771260000014
the upper output ends of the upper bridge arms of the three single-phase three-bridge arm modular multilevel converter are connected together to serve as a positive end of a direct-current bus, and the lower output ends of the lower bridge arms are connected together to serve as a negative end of the direct-current bus; the upper and lower AC output terminals of each phase constitute an upper and lower two sets of three-phase AC output terminals, respectively.
2. The nine-leg modular multilevel converter with different numbers of leg submodules of claim 1, wherein the upper and lower groups of alternating current output buses of the nine-leg modular multilevel converter with different numbers of leg submodules are directly connected to a high-voltage power grid or two groups of high-voltage high-power loads.
3. The nine-leg modular multilevel converter with different numbers of leg submodules of claim 1, wherein one group of alternating current output terminals of the upper and lower groups of alternating current output buses with different numbers of leg submodules is connected with a high-voltage power grid, and the other group of alternating current output terminals is connected with a high-voltage high-power load.
4. The control system of the nine-bridge arm modular multilevel converter with different bridge arm sub-modules is characterized in that the control system controls the nine-bridge arm modular multilevel converter with different bridge arm sub-modules according to any one of claims 1 to 3 by utilizing a pulse width modulation strategy, a capacitance voltage balance control strategy and a circulation current suppression strategy.
5. When the load is a medium-voltage double-motor, the upper and lower alternating-current output ports of the nine-leg modular multilevel converter with different numbers of leg submodules according to any one of claims 1 to 3 are respectively connected with the corresponding three-phase motors.
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