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CN105703650A - Parallel control method employing selective harmonic elimination pulse width modulation (SHEPWM) for multiple T-type three-level inverters - Google Patents

Parallel control method employing selective harmonic elimination pulse width modulation (SHEPWM) for multiple T-type three-level inverters Download PDF

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CN105703650A
CN105703650A CN201610166225.3A CN201610166225A CN105703650A CN 105703650 A CN105703650 A CN 105703650A CN 201610166225 A CN201610166225 A CN 201610166225A CN 105703650 A CN105703650 A CN 105703650A
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shaped
level inverter
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shepwm
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CN105703650B (en
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张承慧
张桐盛
杜春水
陈阿莲
秦昌伟
邢相洋
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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
    • H02M7/487Neutral point clamped inverters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/12Arrangements for reducing harmonics from AC input or output
    • 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
    • H02M7/539Conversion 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 with automatic control of output wave form or frequency
    • H02M7/5395Conversion 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 with automatic control of output wave form or frequency by pulse-width modulation
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/0003Details of control, feedback or regulation circuits
    • H02M1/0038Circuits or arrangements for suppressing, e.g. by masking incorrect turn-on or turn-off signals, e.g. due to current spikes in current mode control

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

Abstract

本发明公开了一种采用SHEPWM的多台T型三电平逆变器并联控制方法,包括以下步骤:根据需要消除的谐波次数的个数确定每个周期的开关角个数;基于多目标粒子群优化方法求解特定谐波消除脉宽调制的开关角度,生成相应的特定谐波消除脉宽调制信号;采集T型三电平逆变器并联系统的中点电压和零序环流;设定时序,按照设定时序根据中点电压或零序环流对特定谐波消除脉宽调制信号进行小矢量控制,对特定谐波消除脉宽调制信号进行改写。本发明按照设定好的时序对中点电压或零序环流进行控制。由于多台逆变器中点相连,所以某一时刻只要控制好其中任意一台逆变器的中点电压,系统中点电压就平衡。

The invention discloses a parallel control method for multiple T-type three-level inverters using SHEPWM, which includes the following steps: determining the number of switching angles in each cycle according to the number of harmonics to be eliminated; The particle swarm optimization method solves the switching angle of the specific harmonic elimination pulse width modulation, and generates the corresponding specific harmonic elimination pulse width modulation signal; collects the midpoint voltage and zero-sequence circulating current of the T-type three-level inverter parallel system; sets Sequence: Carry out small vector control on the specific harmonic elimination pulse width modulation signal according to the set timing according to the midpoint voltage or zero-sequence circulating current, and rewrite the specific harmonic elimination pulse width modulation signal. The invention controls the midpoint voltage or the zero-sequence circulating current according to the set time sequence. Since the midpoints of multiple inverters are connected, as long as the midpoint voltage of any one of the inverters is well controlled at a certain moment, the midpoint voltage of the system will be balanced.

Description

一种采用SHEPWM的多台T型三电平逆变器并联控制方法A parallel control method for multiple T-type three-level inverters using SHEPWM

技术领域technical field

本发明涉及一种采用SHEPWM的多台T型三电平逆变器并联控制方法。The invention relates to a parallel control method for multiple T-type three-level inverters using SHEPWM.

背景技术Background technique

伴随着光伏发电系统在内的分布式能源大规模接入低压配电网,电网对并网逆变器输出电流波形质量提出更高的要求,传统两电平并网逆变器很难满足大电网高电能质量要求。T型三电平并网逆变器的出现解决了上述问题,如图2所示,和传统两电平相比,该逆变器具有谐波小、开关损耗低、电磁干扰小等优点;和传统二极管钳位型三电平逆变器相比,该逆变器具有开关数目少、导通损耗小和功率损耗均匀等优点;且T型三电平逆变器开关频率在4kHz到30kHz之间效率最高。因此T型三电平逆变器已经广泛应用到光伏发电和微电网等分布式发电场合,但是容量一直是制约其快速发展的瓶颈。With the large-scale access of distributed energy sources including photovoltaic power generation systems to the low-voltage distribution network, the power grid puts forward higher requirements on the output current waveform quality of grid-connected inverters. It is difficult for traditional two-level grid-connected inverters to meet large-scale Grid high power quality requirements. The emergence of the T-type three-level grid-connected inverter solves the above problems. As shown in Figure 2, compared with the traditional two-level inverter, the inverter has the advantages of small harmonics, low switching loss, and small electromagnetic interference; Compared with the traditional diode-clamped three-level inverter, the inverter has the advantages of less number of switches, small conduction loss and uniform power loss; and the switching frequency of the T-type three-level inverter is 4kHz to 30kHz among the most efficient. Therefore, the T-type three-level inverter has been widely used in distributed power generation occasions such as photovoltaic power generation and micro-grid, but capacity has always been the bottleneck restricting its rapid development.

多机T型三电平并网逆变器的并联能够增加系统容量、可靠性和效率,已经成为大功率分布式发电的重要选择,但是模块之间硬件不匹配、死区时间以及控制算法执行时间等差别会产生环流。环流会增加系统损耗和引起并网电流畸变,严重影响IGBT开关管的寿命,因此研究并联T型三电平逆变器的环流抑制意义重大。The parallel connection of multi-unit T-type three-level grid-connected inverters can increase system capacity, reliability and efficiency, and has become an important choice for high-power distributed power generation. However, hardware mismatch between modules, dead time and control algorithm execution Time and other differences will produce circulation. Circulating current will increase system loss and cause grid-connected current distortion, seriously affecting the life of IGBT switch tubes. Therefore, it is of great significance to study the circulating current suppression of parallel T-type three-level inverters.

相比于正弦脉宽调制(SPWM)和空间矢量脉宽调制(SVPWM)调制,特定谐波消除法(SHEPWM)具有开关频率低、开关损耗小、输出电压质量好及损耗小等一系列优点,适用于大功率场合,是一种电力电子领域中经常用来消除低次谐波的调制方法。Compared with sinusoidal pulse width modulation (SPWM) and space vector pulse width modulation (SVPWM) modulation, specific harmonic elimination method (SHEPWM) has a series of advantages such as low switching frequency, low switching loss, good output voltage quality and low loss. Suitable for high-power occasions, it is a modulation method often used in the field of power electronics to eliminate low-order harmonics.

发明内容Contents of the invention

本发明为了解决上述问题,提出了一种采用SHEPWM的多台T型三电平逆变器并联控制方法,本发明对三电平逆变器并联系统的关键技术进行了研究,针对逆变器直流侧的中点电压平衡问题进行详细的分析,针对SHEPWM和T型三电平逆变器并联的优点,提出一种适用于多台T型三电平逆变器并联系统的新型SHEPWM方法。系统由传统SHEPWM相关公式计算出开关角度,然后在传统三相SHEPWM的调制后增加了一个小矢量替换系统。并联系统中逆变器按照设定好的时序对中点电压或零序环流进行控制。由于多台逆变器中点相连,所以某一时刻只要控制好其中任意一台逆变器的中点电压,系统中点电压就平衡。此时其余逆变器通过测量输出电流计算出零序环流并加以控制。所提出的方法不影响逆变器输出的线电压波形,所以具有和传统SHEPWM相同的消除低次谐波的功能,且可以有效抑制环流,能使T型三电平逆变器并联系统稳定高效运行。In order to solve the above problems, the present invention proposes a multiple T-type three-level inverter parallel control method using SHEPWM. The present invention studies the key technology of the three-level inverter parallel system. The mid-point voltage balance problem on the DC side is analyzed in detail. Aiming at the advantages of parallel connection of SHEPWM and T-type three-level inverters, a new SHEPWM method suitable for the parallel connection of multiple T-type three-level inverters is proposed. The system calculates the switching angle by the traditional SHEPWM related formula, and then adds a small vector replacement system after the modulation of the traditional three-phase SHEPWM. In the parallel system, the inverters control the midpoint voltage or zero-sequence circulating current according to the set time sequence. Since the midpoints of multiple inverters are connected, as long as the midpoint voltage of any one of the inverters is well controlled at a certain moment, the midpoint voltage of the system will be balanced. At this time, other inverters calculate and control the zero-sequence circulating current by measuring the output current. The proposed method does not affect the line voltage waveform output by the inverter, so it has the same function of eliminating low-order harmonics as the traditional SHEPWM, and can effectively suppress the circulating current, making the T-type three-level inverter parallel system stable and efficient run.

为了实现上述目的,本发明采用如下技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:

一种采用SHEPWM的多台T型三电平逆变器并联控制方法,包括以下步骤:A parallel control method for multiple T-type three-level inverters using SHEPWM, comprising the following steps:

(1)根据需要消除的谐波次数的个数确定每个周期的开关角个数;(1) Determine the number of switching angles per cycle according to the number of harmonic orders that need to be eliminated;

(2)基于多目标粒子群优化方法求解特定谐波消除脉宽调制的开关角度,生成相应的特定谐波消除脉宽调制信号;(2) Based on the multi-objective particle swarm optimization method, the switching angle of the specific harmonic elimination pulse width modulation is solved, and the corresponding specific harmonic elimination pulse width modulation signal is generated;

(3)采集T型三电平逆变器并联系统的中点电压和零序环流;(3) Collect the midpoint voltage and zero-sequence circulating current of the T-type three-level inverter parallel system;

(4)设定时序,按照设定时序根据中点电压或零序环流对特定谐波消除脉宽调制信号进行小矢量控制,对特定谐波消除脉宽调制信号进行改写。(4) Set the timing sequence, perform small vector control on the specific harmonic elimination pulse width modulation signal according to the midpoint voltage or zero-sequence circulating current according to the set timing sequence, and rewrite the specific harmonic elimination pulse width modulation signal.

所述步骤(1)中,每四分之一个周期中的开关角个数为需要消去的谐波次数加1。In the step (1), the number of switching angles in each quarter cycle is the number of harmonics to be eliminated plus 1.

如果要消除N-1个特定的谐波分量,则要设置N个开关角,就能构成N个独立的方程,从而在选择基波幅值的同时,还可以消除N-1个希望消除的谐波分量。If you want to eliminate N-1 specific harmonic components, you need to set N switching angles to form N independent equations, so that while selecting the amplitude of the fundamental wave, you can also eliminate N-1 desired harmonic components. Harmonic components.

所述步骤(2)中,采用多目标粒子群优化(MOPSO)算法求解三电平特定谐波消除脉宽调制开关角。In the step (2), a multi-objective particle swarm optimization (MOPSO) algorithm is used to solve the three-level specific harmonic elimination pulse width modulation switching angle.

所述步骤(4)中,设定并联系统周期为T,当n台逆变器并联运行时,并联系统每个周期T内:第i台逆变器在(i-1)T/n~iT/n时间段内负责控制中点电压,在其他时段负责控制零序环流。In the step (4), the period of the parallel system is set as T. When n inverters are running in parallel, in each period T of the parallel system: the i-th inverter is at (i-1)T/n~ It is responsible for controlling the midpoint voltage during the iT/n time period, and is responsible for controlling the zero-sequence circulating current in other periods.

所述步骤(4)中,控制中点电压时,若T型三电平逆变器的中点电压在阈值范围内,则不改变T型三电平逆变器,使其直接进入三电平逆变器,否则将开关状态修改为小矢量信号,对特定谐波消除脉宽调制信号进行改写。In the step (4), when controlling the midpoint voltage, if the midpoint voltage of the T-type three-level inverter is within the threshold range, the T-type three-level inverter will not be changed, so that it directly enters the three-level inverter. Otherwise, modify the switch state to a small vector signal, and rewrite the pulse width modulation signal for specific harmonic elimination.

进一步的,所述步骤(4)中,中点电压的绝对值大于中点电压阈值时,若中点电压大于零,开关状态被改变为N型小矢量;若中点电压小于零,开关状态被改变为P型小矢量,当中点电压的绝对值小于中点电压阈值时,开关状态不改变。Further, in the step (4), when the absolute value of the midpoint voltage is greater than the midpoint voltage threshold, if the midpoint voltage is greater than zero, the switch state is changed to an N-type small vector; if the midpoint voltage is less than zero, the switch state is It is changed to a P-type small vector, and when the absolute value of the midpoint voltage is less than the midpoint voltage threshold, the switch state does not change.

所述步骤(4)中,控制零序环流时,若零序环流超过阈值范围,若零序环流大于零,开关状态被改变为N型小矢量,若零序环流小于零,开关状态被改变为P型小矢量,若零序环流在阈值范围内,开关状态不改变。In the step (4), when controlling the zero-sequence circulating current, if the zero-sequence circulating current exceeds the threshold range, if the zero-sequence circulating current is greater than zero, the switch state is changed to an N-type small vector, and if the zero-sequence circulating current is less than zero, the switch state is changed It is a P-type small vector, if the zero-sequence circulating current is within the threshold range, the switch state does not change.

一种采用SHEPWM的多台T型三电平逆变器并联控制方法,包括特定谐波消除脉宽调制信号发生器、小矢量控制器、开关组、PWM信号发生器和T型三电平逆变器并联系统,其中,T型三电平逆变器并联系统,包括多个T型三电平逆变器,所有T型三电平逆变器共用交直流母线,彼此并联;A parallel control method for multiple T-type three-level inverters using SHEPWM, including a specific harmonic elimination pulse width modulation signal generator, a small vector controller, a switch group, a PWM signal generator and a T-type three-level inverter Inverter parallel connection system, wherein, the T-type three-level inverter parallel system includes multiple T-type three-level inverters, and all T-type three-level inverters share the AC and DC bus and are connected in parallel with each other;

所述特定谐波消除脉宽调制信号发生器输出特定谐波消除脉宽调制信号给开关组,所述小矢量控制器采集T型三电平逆变器并联系统的中点电压和零序环流,根据设定的时序,分别对中点电压和零序环流进行控制,判断其是否在各自的设定阈值内;根据中点电压和零序环流的大小,确认是否对特定谐波消除脉宽调制信号进行改写,通过PWM信号发生器生成控制信号,控制T型三电平逆变器并联系统的开关器件。The specific harmonic elimination pulse width modulation signal generator outputs a specific harmonic elimination pulse width modulation signal to the switch group, and the small vector controller collects the midpoint voltage and zero-sequence circulating current of the T-type three-level inverter parallel system , according to the set timing, respectively control the midpoint voltage and zero-sequence circulating current, and judge whether they are within their respective set thresholds; according to the magnitude of the midpoint voltage and zero-sequence circulating current, confirm whether to eliminate the specific harmonic pulse width The modulation signal is rewritten, and the control signal is generated by the PWM signal generator to control the switching device of the T-type three-level inverter parallel system.

进一步的,所述小矢量控制器根据中点电压进行判断,若中点电压在设定阈值范围内,则不改变开关组的状态,使特定谐波消除脉宽调制信号通过PWM信号发生器生成控制信号,控制T型三电平逆变器并联系统的开关器件;Further, the small vector controller judges according to the midpoint voltage, if the midpoint voltage is within the set threshold range, the state of the switch group is not changed, and the specific harmonic elimination pulse width modulation signal is generated by the PWM signal generator Control signal to control the switching devices of the T-type three-level inverter parallel system;

若中点电压不在设定阈值范围内,小矢量控制器改变开关组状态,使特定谐波消除脉宽调制信号改变成为小电压矢量,通过PWM信号发生器生成控制信号,控制T型三电平逆变器并联系统的开关器件。If the midpoint voltage is not within the set threshold range, the small vector controller changes the state of the switch group, so that the specific harmonic elimination pulse width modulation signal is changed into a small voltage vector, and the control signal is generated by the PWM signal generator to control the T-type three-level Switching devices for inverter parallel systems.

所述中点电压为T型三电平逆变器的直流侧两个并联电容之间的电压差值的一半。The midpoint voltage is half of the voltage difference between the two capacitors connected in parallel at the DC side of the T-shaped three-level inverter.

所述中点电压的绝对值大于中点电压阈值时,若中点电压大于零,开关状态被改变为N型小矢量;若中点电压小于零,开关状态被改变为P型小矢量。When the absolute value of the midpoint voltage is greater than the midpoint voltage threshold, if the midpoint voltage is greater than zero, the switch state is changed to an N-type small vector; if the midpoint voltage is less than zero, the switch state is changed to a P-type small vector.

所述小矢量控制器根据零序环流控制时,若零序环流超过阈值范围,若零序环流大于零,开关状态被改变为N型小矢量,若零序环流小于零,开关状态被改变为P型小矢量,若零序环流在阈值范围内,开关状态不改变。When the small vector controller controls according to the zero-sequence circulating current, if the zero-sequence circulating current exceeds the threshold range, if the zero-sequence circulating current is greater than zero, the switch state is changed to N-type small vector, and if the zero-sequence circulating current is less than zero, the switch state is changed to For P-type small vectors, if the zero-sequence circulating current is within the threshold range, the switch state does not change.

本发明的有益效果为:The beneficial effects of the present invention are:

(1)本发明中SHEPWM控制方式可以将中点电压限定在一个更小的波动区域,中点电压偏离平衡点时迅速使其恢复平衡,和传统SHEPWM对特定谐波消除的能力基本相同。(1) The SHEPWM control method in the present invention can limit the midpoint voltage to a smaller fluctuation area, and quickly restore the balance when the midpoint voltage deviates from the balance point, which is basically the same as the traditional SHEPWM's ability to eliminate specific harmonics.

(2)本发明中采用SHEPWM的T型三电平逆变器并联系统具备三电平拓扑谐波含量小、系统效率高的优点,还兼具了并联系统可维护性好、冗余性高、便于扩容的优势。(2) The T-type three-level inverter parallel system using SHEPWM in the present invention has the advantages of small three-level topology harmonic content and high system efficiency, and also has good maintainability and high redundancy of the parallel system , The advantage of easy expansion.

(3)本发明中采用SHEPWM的T型三电平逆变器并联系统很好的解决了环流抑制问题和中点电压平衡问题。(3) The T-type three-level inverter parallel system using SHEPWM in the present invention well solves the problem of circulating current suppression and the problem of neutral point voltage balance.

附图说明Description of drawings

图1为多台三电平逆变器并联系统拓扑图;Figure 1 is a topology diagram of a parallel system with multiple three-level inverters;

图2为三电平逆变器拓扑图;Figure 2 is a topology diagram of a three-level inverter;

图3为三电平逆变器SHEPWM的典型波形;Figure 3 is a typical waveform of the three-level inverter SHEPWM;

图4为小矢量对中点电压的影响示意图;Figure 4 is a schematic diagram of the influence of a small vector on the midpoint voltage;

图5(a)为大电压矢量[PPN]对三电平逆变器中点电压影响示意图,Figure 5(a) is a schematic diagram of the influence of the large voltage vector [PPN] on the midpoint voltage of the three-level inverter.

图5(b)为中电压矢量[PON]对三电平逆变器中点电压影响示意图;Figure 5(b) is a schematic diagram of the influence of the medium voltage vector [PON] on the midpoint voltage of the three-level inverter;

图5(c)为零电压矢量[PPP]对三电平逆变器中点电压影响示意图;Figure 5(c) is a schematic diagram of the influence of the zero voltage vector [PPP] on the midpoint voltage of the three-level inverter;

图5(d)为P型小电压矢量[POO]对三电平逆变器中点电压影响示意图;Figure 5(d) is a schematic diagram of the influence of the P-type small voltage vector [POO] on the midpoint voltage of the three-level inverter;

图5(e))为N型小电压矢量[ONN]对三电平逆变器中点电压影响示意图;Figure 5(e)) is a schematic diagram of the influence of the N-type small voltage vector [ONN] on the midpoint voltage of the three-level inverter;

图6为所提出特定谐波消除法在T型三电平逆变器中中点电压的控制原理;Fig. 6 is the control principle of the midpoint voltage in the T-type three-level inverter by the proposed specific harmonic elimination method;

图7为所提出特定谐波消除法在T型三电平逆变器中中点电压的控制流程图;Fig. 7 is the control flowchart of the midpoint voltage in the T-type three-level inverter of the proposed specific harmonic elimination method;

图8为所提出特定谐波消除法在T型三电平逆变器中零序电流的控制原理;Figure 8 shows the control principle of the zero-sequence current in the T-type three-level inverter by the proposed specific harmonic elimination method;

图9为所提出特定谐波消除法在T型三电平逆变器中零序电流的控制流程图;Fig. 9 is the control flowchart of the zero-sequence current in the T-type three-level inverter of the proposed specific harmonic elimination method;

图10为三台逆变器并联系统网侧电压和输出电流;Figure 10 shows the grid-side voltage and output current of the parallel system of three inverters;

图11(a)是第一台逆变器的仿真结果;Figure 11(a) is the simulation result of the first inverter;

图11(b)是第二台逆变器的仿真结果;Figure 11(b) is the simulation result of the second inverter;

图11(c)是第三台逆变器的仿真结果;Figure 11(c) is the simulation result of the third inverter;

图12为逆变器输出电压仿真结果的谐波分析;Figure 12 is the harmonic analysis of the simulation results of the inverter output voltage;

图13(a)是第一台逆变器的仿真结果,其中实线代表上侧电容电压值,虚线代表下侧电容电压值(下同);Figure 13(a) is the simulation result of the first inverter, where the solid line represents the voltage value of the upper capacitor, and the dotted line represents the voltage value of the lower capacitor (the same below);

图13(b)是第二台逆变器的仿真结果;Figure 13(b) is the simulation result of the second inverter;

图13(c)是第三台逆变器的仿真结果;Figure 13(c) is the simulation result of the third inverter;

图14为三台逆变器各自零序电流的仿真结果。Figure 14 shows the simulation results of the zero-sequence currents of the three inverters.

具体实施方式:detailed description:

下面结合附图与实施例对本发明作进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

如图1所示,三电平逆变器并联系统拓扑图如图1所示,多台逆变器共享交直流母线,P、N为并联系统的正负母线;A、B、C为并联系统的三相并网点;aj、bj、cj为逆变器输出的交流端,Cj1、Cj2为与直流侧并联的两个电容,中点为Zj,系统采用L滤波器,滤波电感为Li,零序电流为izj,imj为第j台逆变器的m相输出电流,m=a、b、c,j=1、2,;iA、iB、iC为系统并网电流。As shown in Figure 1, the topology diagram of the three-level inverter parallel system is shown in Figure 1. Multiple inverters share the AC and DC busbars, and P and N are the positive and negative busbars of the parallel system; A, B, and C are parallel The three-phase grid-connected point of the system; aj, bj, cj are the AC terminals output by the inverter, C j1 and C j2 are two capacitors connected in parallel with the DC side, the midpoint is Z j , the system uses an L filter, and the filter inductor is L i , the zero-sequence current is i zj , and i mj is the m-phase output current of the jth inverter, m=a, b, c, j=1, 2,; i A , i B , i C are System grid current.

以如图2所示单台逆变器结构阐述逆变器控制策略。直流侧串联两个电容C1和C2,制造出中点Z,从而使逆变器的上部器件和下部器件的开关将产生正电平和负电平。a、b、c三相各连接四个带有反并联二极管的开关器件,通过LA、LB、LC向三相负载供电。每一个半桥逆变器有三种状态:上臂开关器件导通、下臂开关器件导通、辅助开关器件导通,分别输出正电平、负电平、零电平。本发明中一种采用SHEPWM的多台T型三电平逆变器并联控制方法主要包括以下步骤:The inverter control strategy is described with a single inverter structure as shown in Figure 2. Two capacitors C 1 and C 2 are connected in series on the DC side to create a midpoint Z, so that the switches of the upper device and the lower device of the inverter will generate positive and negative levels. The three phases a, b, and c are each connected with four switching devices with anti-parallel diodes, and supply power to the three-phase load through L A , L B , and L C . Each half-bridge inverter has three states: the upper arm switching device is turned on, the lower arm switching device is turned on, and the auxiliary switching device is turned on, and outputs positive level, negative level, and zero level respectively. A kind of multiple T-type three-level inverter parallel control method that adopts SHEPWM among the present invention mainly comprises the following steps:

(1)根据消去谐波次数的个数确定每四分之一个周期中的开关角个数;(1) Determine the number of switching angles in each quarter cycle according to the number of harmonic times eliminated;

(2)根据传统SHEPWM原理计算出开关角度;(2) Calculate the switch angle according to the traditional SHEPWM principle;

(3)在传统三相SHEPWM的调制后增加一个小矢量控制系统来控制中点电压和环流;(3) Add a small vector control system to control the midpoint voltage and circulation after the modulation of the traditional three-phase SHEPWM;

(4)多台逆变器共用交直流母线,实现并联运行。(4) Multiple inverters share the AC and DC bus to realize parallel operation.

(5)并联系统中逆变器按照设定好的时序对中点电压或零序环流进行控制。(5) In the parallel system, the inverter controls the midpoint voltage or zero-sequence circulating current according to the set time sequence.

步骤(1)中,如果要消除N-1个特定的谐波分量,则要设置N个开关角,就能构成N个独立的方程,从而在选择基波幅值的同时,还可以消除N-1个希望消除的谐波分量。In step (1), if you want to eliminate N-1 specific harmonic components, you need to set N switching angles, and you can form N independent equations, so that while selecting the amplitude of the fundamental wave, you can also eliminate N -1 harmonic component that you wish to eliminate.

步骤(2)中,采用多目标粒子群优化(MOPSO)算法求解三电平SHEPWM开关角。In step (2), the multi-objective particle swarm optimization (MOPSO) algorithm is used to solve the switching angle of the three-level SHEPWM.

步骤(3)中,SHEPWM开关信号由传统SHEPWM信号发生器产生,其后增加小矢量替换器。当小电压矢量开关状态出现时,小电压矢量替换系统通过检测中点电压和环流方向替换小矢量;当小电压矢量开关状态没有出现时,小矢量替换系统不改变开关状态。In step (3), the SHEPWM switch signal is generated by a traditional SHEPWM signal generator, and then a small vector replacer is added. When the switch state of the small voltage vector appears, the small voltage vector replacement system replaces the small vector by detecting the midpoint voltage and the direction of the circulating current; when the switch state of the small voltage vector does not appear, the small vector replacement system does not change the switch state.

步骤(4)中,多台逆变器共享交直流母线,实现并联运行。In step (4), multiple inverters share the AC and DC bus to realize parallel operation.

所述步骤(5)中,设定并联系统周期为T=0.02s。当n台逆变器并联运行时,并联系统每个周期T内:第i台逆变器在(i-1)T/n~iT/n时间段内负责控制中点电压VZi,在其他时段负责控制零序环流iZiIn the step (5), the period of the parallel system is set as T=0.02s. When n inverters are running in parallel, in each cycle T of the parallel system: the i-th inverter is responsible for controlling the midpoint voltage V Zi during the period of (i-1)T/n~iT/n, and the other The period is responsible for controlling the zero-sequence circulating current i Zi .

负责控制零序环流的逆变器控制策略:iZ大于所设置的环流阀值Irange时,若iZ>0,开关状态被改变为N型小矢量,若iZ<0,开关状态被改变为P型小矢量。当|iZ|<Irange,开关状态不改变。Inverter control strategy responsible for controlling zero-sequence circulating current: when i Z is greater than the set circulating current threshold I range , if i Z >0, the switch state is changed to an N-type small vector; if i Z <0, the switch state is changed to Change to P-type small vector. When |i Z |<I range , the switch state does not change.

负责控制中点电压的逆变器控制策略:当|VZ2|>Vrange时,若VZ2>0,开关状态被改变为N型小矢量;若VZ2<0,开关状态被改变为P型小矢量。当|VZ2|<Vrange,开关状态不改变。Inverter control strategy responsible for controlling the midpoint voltage: when |V Z2 |>V range , if V Z2 >0, the switch state is changed to N-type small vector; if V Z2 <0, the switch state is changed to P small vector. When |V Z2 |<V range , the switch state does not change.

传统SHEPWM调制方法为计算每四分之一周期内的N个开关角,为求解N个开关角,需要构成N个方程,其中N-1个方程消除低次谐波,一个方程确定调制比M。一种典型的三电平SHEPWM波形如图3所示,其中Vxz是单相的输出电压,其傅里叶级数为The traditional SHEPWM modulation method is to calculate the N switching angles in each quarter cycle. In order to solve the N switching angles, it is necessary to form N equations, of which N-1 equations eliminate low-order harmonics, and one equation determines the modulation ratio M . A typical three-level SHEPWM waveform is shown in Figure 3, where Vxz is the single-phase output voltage, and its Fourier series is

VV xx ZZ == &Sigma;&Sigma; nno == 11 ,, 33 ...... &infin;&infin; bb nno sinsin nno qq ,, nno == 11 ,, 22 ,, 33 ,, ...... -- -- -- (( 11 ))

其中x=a,b,c;bn是傅立叶系数;bn由下式给出where x = a, b, c; bn are the Fourier coefficients; bn is given by

bb nno == 44 nno &pi;&pi; (( &Sigma;&Sigma; ii == 11 NN (( -- 11 )) ii ++ 11 cosn&alpha;cosn&alpha; ii )) ,, 00 << &alpha;&alpha; 11 << &alpha;&alpha; 22 << ...... << &alpha;&alpha; NN << &pi;&pi; // 22 -- -- -- (( 22 ))

其中n=1,5,7,···,3N-2。where n=1, 5, 7, . . . , 3N-2.

通过以下价值函数,来选取方程最优解The optimal solution of the equation is selected by the following value function

Ff (( &alpha;&alpha; 11 ,, &alpha;&alpha; 22 ,, ...... ,, &alpha;&alpha; NN )) == (( bb 11 -- Mm )) 22 ++ bb 55 22 ++ ...... ++ bb nno 22 -- -- -- (( 33 ))

其中M为调制指数。开关状态可以表示为空间电压矢量,根据空间电压矢量的大小可将其分为零矢量、小矢量、大矢量、中矢量,小电压矢量又可以分为P型矢量和N型矢量,如图4和表1所示。where M is the modulation index. The switch state can be expressed as a space voltage vector, which can be divided into zero vector, small vector, large vector, and medium vector according to the size of the space voltage vector, and the small voltage vector can be divided into P-type vector and N-type vector, as shown in Figure 4 and shown in Table 1.

表1Table 1

采用SHEPWM的逆变器中点电压VZ表示为The mid-point voltage V Z of the inverter using SHEPWM is expressed as

VV ZZ == VV CC 22 -- VV CC 11 22 -- -- -- (( 44 ))

其中VC1和VC2是直流侧电容C1和C2的电压值。开关状态对中点电压的影响如图5所示:大矢量和零矢量对中点电压没有影响,因为在这种情况下中点Z没有和直流侧的正、负极相连,因为两个电容没有充放电,所以两电容电压没有变化,中点电压也不变化,如图5(a)、(c)所示;图5(b)显示了中矢量的效果图,此时中点和直流侧的正负侧相连接,中点电压的变化情况由此时的中点电流决定;当逆变器选择P型小矢量开关状态时,负载接在中点与直流侧的正极,电容C1放电,电流流进中点,中点电压上升,如图5(d)所示;与此相反,N型小矢量会使中点电压下降,如图5(e)所示。Among them, V C1 and V C2 are the voltage values of DC side capacitors C 1 and C 2 . The effect of the switch state on the midpoint voltage is shown in Figure 5: large vectors and zero vectors have no effect on the midpoint voltage, because in this case the midpoint Z is not connected to the positive and negative poles of the DC side, because the two capacitors have no Charge and discharge, so the voltage of the two capacitors does not change, and the voltage of the midpoint does not change, as shown in Figure 5(a) and (c); Figure 5(b) shows the effect diagram of the vector, at this time the midpoint and the DC side The positive and negative sides of the inverter are connected, and the change of the midpoint voltage is determined by the midpoint current at this time; when the inverter selects the P-type small vector switch state, the load is connected to the midpoint and the positive pole of the DC side, and the capacitor C 1 discharges , the current flows into the midpoint, and the midpoint voltage rises, as shown in Figure 5(d); on the contrary, the N-type small vector will cause the midpoint voltage to drop, as shown in Figure 5(e).

第i台逆变器零序电流izi为:The zero-sequence current i zi of the i-th inverter is:

izi=iai+ibi+ici(5)i zi =i ai +i bi +i ci (5)

其中i为逆变器的设备编号。T型三电平逆变器的零序环流和输出滤波器电感L、中点电位和开关状态有关,对于n台T型三电平逆变器并联系统,第i台逆变器输出的零序环流izi为:Where i is the device number of the inverter. The zero-sequence circulating current of the T-type three-level inverter is related to the output filter inductance L, the midpoint potential and the switch state. For a parallel system of n T-type three-level inverters, the zero-sequence output of the i-th inverter The sequence circulation i zi is:

ii zz ii == 11 66 &Sigma;&Sigma; jj == 11 ,, jj &NotEqual;&NotEqual; ii nno &Sigma;&Sigma; kk == aa ,, bb ,, cc (( &Delta;V&Delta;V ii || SS kk ii || -- &Delta;V&Delta;V jj || SS kk jj || )) (( LL ii ++ LL jj )) sthe s -- -- -- (( 66 ))

鉴于某些逆变器调节中点电压可能会与抑制环流冲突,因此给并联系统中逆变器设定好时序,系统工作时各逆变器按照设定好的时序对中点电压或零序环流进行控制。本发明中设定并联系统周期为T=0.02s,当n台逆变器并联运行时,并联系统每个周期T内:第i台逆变器在(i-1)T/n~iT/n时间段内负责控制中点电压VZi,在其他时段负责控制零序环流iZiIn view of the fact that adjusting the midpoint voltage of some inverters may conflict with suppressing the circulating current, the timing sequence is set for the inverters in the parallel system. When the system is working, each inverter adjusts the midpoint voltage or zero sequence Circulation is controlled. In the present invention, the cycle of the parallel system is set as T=0.02s. When n inverters are running in parallel, in each cycle T of the parallel system: the i-th inverter is at (i-1)T/n~iT/ It is responsible for controlling the midpoint voltage V Zi in the n time period, and is responsible for controlling the zero-sequence circulating current i Zi in other periods.

本发明中采用SHEPWM的逆变器通过替换小电压矢量来保持中点电压平衡,控制原理如图6所示。SHEPWM开关信号由传统SHEPWM系统产生,当小电压矢量开关状态出现时小电压矢量控制器作用;当小电压矢量开关状态没有出现时,小矢量控制器被闭锁,开关状态不变。In the present invention, the inverter adopting SHEPWM maintains the midpoint voltage balance by replacing the small voltage vector, and the control principle is shown in FIG. 6 . The SHEPWM switch signal is generated by the traditional SHEPWM system. When the small voltage vector switch state appears, the small voltage vector controller acts; when the small voltage vector switch state does not appear, the small vector controller is blocked and the switch state remains unchanged.

本发明中中点电压平衡控制的流程图由图7给出,其中Vrange是中点电压的限定波动幅度,VZ是中点电压,小矢量控制器的工作状态如下:The flow chart of midpoint voltage balance control among the present invention is provided by Fig. 7, and wherein V range is the limited fluctuation range of midpoint voltage, and V Z is midpoint voltage, and the operating state of small vector controller is as follows:

状态一:|VZ|>Vrange,此状态下小矢量被替换。State 1: |V Z |>V range , the small vector is replaced in this state.

a)VZ>0:根据表2,开关状态被改变为N型小矢量。a) V Z >0: According to Table 2, the switch state is changed to N-type small vector.

b)VZ<0:根据表2,开关状态被改变为P型小矢量。b) V Z <0: According to Table 2, the switch state is changed to a P-type small vector.

状态二:|VZ|<Vrange,开关状态不改变。State 2: |V Z |<V range , the switch state does not change.

本发明中通过替换小电压矢量来保持中点电压平衡,控制原理如图8所示。逆变器的开关信号由传统SHEPWM系统产生,当小矢量开关状态出现时小电压矢量控制器作用;当小电压矢量开关状态没有出现时,小矢量控制器被闭锁,开关状态不变。In the present invention, the midpoint voltage balance is maintained by replacing the small voltage vector, and the control principle is shown in FIG. 8 . The switching signal of the inverter is generated by the traditional SHEPWM system. When the small vector switch state appears, the small voltage vector controller acts; when the small voltage vector switch state does not appear, the small vector controller is blocked and the switch state remains unchanged.

本发明中零序电流控制的流程图由图9给出,其中Irange是零序电流的限定波动幅度,iZ是零序电流,小矢量控制器的工作状态如下:The flow chart of zero-sequence current control among the present invention is provided by Fig. 9, and wherein I range is the limited fluctuation range of zero-sequence current, and i Z is zero-sequence current, and the working state of small vector controller is as follows:

状态一:|iZ|>Irange,此状态下小矢量被替换。State 1: |i Z |>I range , the small vector is replaced in this state.

a)iZ>0:根据表2,开关状态被改变为N型小矢量。a) i Z >0: According to Table 2, the switch state is changed to an N-type small vector.

b)iZ<0:根据表2,开关状态被改变为P型小矢量。b) i Z <0: According to Table 2, the switch state is changed to a P-type small vector.

状态二:|iZ|<Irange,开关状态不改变。State 2: |i Z |<I range , the switch state does not change.

仿真研究simulation Research

本发明中所提出的一种采用SHEPWM的多台T型三电平逆变器并联控制方法可以明显地减小直流侧中点电压的震荡范围,不仅具备三电平拓扑谐波含量小、系统效率高的优点,还兼具了并联系统可维护性好、冗余性高、便于扩容的优势,很好的解决了环流抑制问题和中点电压平衡问题。A parallel control method for multiple T-type three-level inverters using SHEPWM proposed in the present invention can significantly reduce the oscillation range of the midpoint voltage on the DC side, and not only has a small harmonic content in the three-level topology, and the system The advantage of high efficiency also has the advantages of good maintainability, high redundancy, and easy expansion of the parallel system, which solves the problems of circulating current suppression and midpoint voltage balance.

在MATLAB/simulink2012B中,以图1所示的多台三电平逆变器并联系统拓扑结构对本发明提出的控制策略进行仿真研究,选定n=3。对三台逆变器给定电流分别为15A、15A、25A,仿真结果如图10至图14所示。由图8知并联系统向电网输出电流的幅值为55A,为三台逆变器输出电流之和。图9为采用SHEPWM的逆变器输出电压波形,从图10所示电压的谐波分析可知,通过SHEPWM消除了指定低次谐波。由于两台逆变器共用交直流母线而且中点相互连接,两台逆变器的直流侧中点电位相等,如图11(a)-图11(c)所示,直流侧上下两个电容的电压值均为100V,中点电压被限制在一个很小的波动范围。同时,由图12可知,两台逆变器之间的环流限定在0A,环流被有效抑制。In MATLAB/simulink2012B, the control strategy proposed by the present invention is simulated and studied with the parallel system topology of multiple three-level inverters shown in FIG. 1, and n=3 is selected. The given currents of the three inverters are 15A, 15A, and 25A respectively, and the simulation results are shown in Figure 10 to Figure 14. From Figure 8, we know that the magnitude of the output current of the parallel system to the grid is 55A, which is the sum of the output currents of the three inverters. Figure 9 shows the output voltage waveform of the inverter using SHEPWM. From the harmonic analysis of the voltage shown in Figure 10, it can be seen that the specified low-order harmonics are eliminated through SHEPWM. Since the two inverters share the AC-DC bus and the midpoints are connected to each other, the potentials of the midpoints on the DC side of the two inverters are equal, as shown in Figure 11(a)-Figure 11(c), and the upper and lower capacitors on the DC side The voltage values are all 100V, and the midpoint voltage is limited to a small fluctuation range. At the same time, it can be seen from Figure 12 that the circulating current between the two inverters is limited to 0A, and the circulating current is effectively suppressed.

通过以上仿真结果可知,本发明中一种采用SHEPWM的多台T型三电平逆变器并联控制方法可以将中点电压和零序环流限定在一个很小的波动区域,并且保持传统SHEPWM消除特定谐波的能力,很好地解决了环流抑制问题和中点电压平衡问题。From the above simulation results, it can be seen that a parallel control method of multiple T-type three-level inverters using SHEPWM in the present invention can limit the midpoint voltage and zero-sequence circulating current to a small fluctuation area, and keep the traditional SHEPWM to eliminate The ability of specific harmonics solves the problem of circulating current suppression and neutral point voltage balance well.

上述虽然结合附图对本发明的具体实施方式进行了描述,但并非对本发明保护范围的限制,所属领域技术人员应该明白,在本发明的技术方案的基础上,本领域技术人员不需要付出创造性劳动即可做出的各种修改或变形仍在本发明的保护范围以内。Although the specific implementation of the present invention has been described above in conjunction with the accompanying drawings, it does not limit the protection scope of the present invention. Those skilled in the art should understand that on the basis of the technical solution of the present invention, those skilled in the art do not need to pay creative work Various modifications or variations that can be made are still within the protection scope of the present invention.

Claims (10)

1. adopt the T-shaped three-level inverter control method for parallel of multiple stage of SHEPWM, it is characterized in that: comprise the following steps:
(1) number of the overtone order eliminated as required determines the switching angle number in each cycle;
(2) solve the switch angle of selective harmonic elimination pulsewidth modulation based on multi-objective particle swarm optimization method, generate corresponding selective harmonic elimination pulsewidth modulation signal;
(3) mid-point voltage and the zero sequence circulation of T-shaped three-level inverter parallel system are gathered;
(4) set sequential, according to mid-point voltage or zero sequence circulation, selective harmonic elimination pulsewidth modulation signal is carried out small vector control according to setting sequential, selective harmonic elimination pulsewidth modulation signal is rewritten。
2. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 1, is characterized in that: in described step (1), and the switching angle number in per quart the cycle is need the overtone order eliminated to add 1。
3. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 1, it is characterized in that: in described step (4), set the parallel system cycle as T, when n platform inverter parallel, in each cycle T of parallel system: i-th inverter is responsible for controlling mid-point voltage within (i-1) T/n~iT/n time period, is responsible for controlling zero sequence circulation in other periods。
4. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 1, it is characterized in that: in described step (4), when controlling mid-point voltage, if the mid-point voltage of T-shaped three-level inverter is in threshold range, then do not change T-shaped three-level inverter, make it be directly entered three-level inverter, otherwise on off state is revised as small vector signal, selective harmonic elimination pulsewidth modulation signal is rewritten。
5. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 4, it is characterized in that: in described step (4), when the absolute value of mid-point voltage is more than mid-point voltage threshold value, if mid-point voltage is more than zero, on off state is changed to N-type small vector;If mid-point voltage is less than zero, on off state is changed to P type small vector, and when the absolute value of mid-point voltage is less than mid-point voltage threshold value, on off state does not change。
6. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 1, it is characterized in that: in described step (4), when controlling zero sequence circulation, if zero sequence circulation exceedes threshold range, if zero sequence circulation is more than zero, on off state is changed to N-type small vector, if zero sequence circulation is less than zero, on off state is changed to P type small vector, if zero sequence circulation is in threshold range, on off state does not change。
7. the T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM, it is characterized in that: include selective harmonic elimination pulsewidth modulation signal generator, small vector controller, switches set, PWM signal generator and T-shaped three-level inverter parallel system, wherein, T-shaped three-level inverter parallel system, including multiple T-shaped three-level inverters, all T-shaped three-level inverters share alternating current-direct current bus, are connected in parallel to each other;
Described selective harmonic elimination pulsewidth modulation signal generator output selective harmonic elimination pulsewidth modulation signal is to switches set, described small vector controller gathers mid-point voltage and the zero sequence circulation of T-shaped three-level inverter parallel system, according to the sequential set, alignment voltage and zero sequence circulation are controlled respectively, it is judged that whether it is in respective setting threshold value;Size according to mid-point voltage and zero sequence circulation, is confirmed whether selective harmonic elimination pulsewidth modulation signal is rewritten, generates control signal by PWM signal generator, control the switching device of T-shaped three-level inverter parallel system。
8. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 7, it is characterized in that: described small vector controller judges according to mid-point voltage, if mid-point voltage is in setting threshold range, then do not change the state of switches set, make selective harmonic elimination pulsewidth modulation signal generate control signal by PWM signal generator, control the switching device of T-shaped three-level inverter parallel system;
If mid-point voltage is not in setting threshold range, small vector controller changes switches set state, make selective harmonic elimination pulsewidth modulation signal change become small voltage vector, generate control signal by PWM signal generator, control the switching device of T-shaped three-level inverter parallel system。
9. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 7, is characterized in that: described mid-point voltage is the half of the voltage difference between two shunt capacitances of DC side of T-shaped three-level inverter。
10. a kind of T-shaped three-level inverter control method for parallel of multiple stage adopting SHEPWM as claimed in claim 7, it is characterized in that: when described small vector controller controls according to zero sequence circulation, if zero sequence circulation exceedes threshold range, if zero sequence circulation is more than zero, on off state is changed to N-type small vector, if zero sequence circulation is less than zero, on off state is changed to P type small vector, if zero sequence circulation is in threshold range, on off state does not change。
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