低开关频率下五电平逆变器双波段特定谐波消除方法*

doi:10.11985/2023.04.019

电气工程学报 ›› 2023, Vol. 18 ›› Issue (4): 171-178.doi: 10.11985/2023.04.019

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低开关频率下五电平逆变器双波段特定谐波消除方法^*

李国华(), 苑朝鸣()

辽宁工程技术大学电气与控制工程学院葫芦岛 125105

收稿日期:2022-10-06 修回日期:2023-08-25 出版日期:2023-12-25 发布日期:2024-01-12
通讯作者: 苑朝鸣，男，1998年生，硕士研究生。主要研究方向为电力电子在电能质量治理中的应用。E-mail：983658148@qq.com
作者简介:李国华，男，1981年生，博士，副教授。主要研究方向为电力系统谐波抑制与无功补偿等。E-mail：dkliguohua@163.com
基金资助:
*国家自然科学基金(51307076);辽宁省科技厅博士科研启动计划(2021-BS-273)

Double-band Selective Harmonic Elimination Method for Five-level Inverter with Low Switching Frequency

LI Guohua(), YUAN Zhaoming()

Faculty of Electrical and Control Engineering, Liaoning Technical University, Huludao 125105

Received:2022-10-06 Revised:2023-08-25 Online:2023-12-25 Published:2024-01-12

摘要/Abstract

摘要：

针对低开关频率下传统方法在求解多电平逆变器特定谐波消除(Selective harmonic elimination pulse width modulation，SHEPWM)的非线性方程组时存在初始值选取困难、非线性方程组转化复杂、容易得到局部最优解问题，提出一种新的求解方法。首先利用三角函数公式变换非线性方程组，其次通过设定约束条件将非线性方程组转化为线性方程组进行求解。以五电平U型逆变器(Modified packed U-cells，MPUC)为研究对象，将拓宽调制度的双波段SHEPWM控制方法与新方法结合得到调制度在[0,1.15]的精确解，并将新方法求解与智能算法求解进行对比。对比显示新方法在低调制度下具有更好的总谐波畸变率(Total harmonic distortion，THD)。最后以仿真和试验证明新方法可以有效消除五电平逆变器的五次谐波。

关键词: 低开关频率, 特定谐波消除, 非线性方程组, MPUC逆变器, 三角函数, 线性方程组

Abstract:

When solving the nonlinear equations of specific harmonic elimination of multi-level inverter, the traditional method at low switching frequency has the problems of difficult selection of initial values, the complex transformation of nonlinear equations, and it is easy to obtain local optimal solutions. A new harmonic elimination method for multilevel inverter is proposed. Firstly, the nonlinear equations are transformed by using the trigonometric function formula, and then constraint condition are assumed to transform the nonlinear equations into linear equations for solving. Taking five-level modified packed U-cells(MPUC) as the research object, exact solutions in [0,1.15] are obtained by combining the double-band SHEPWM control method with the new method. The new method is compared with the intelligent algorithm. The comparison shows that the new method has better total harmonic distortion rate(THD) under low modulation. Finally, simulation and experiment show that the new method can effectively eliminate the fifth harmonic of the five-level inverter.

Key words: Low switching frequency, selective harmonic elimination, nonlinear equations, MPUC inverter, trigonometric function, linear equations

中图分类号:

TM464

李国华, 苑朝鸣. 低开关频率下五电平逆变器双波段特定谐波消除方法^*[J]. 电气工程学报, 2023, 18(4): 171-178.

LI Guohua, YUAN Zhaoming. Double-band Selective Harmonic Elimination Method for Five-level Inverter with Low Switching Frequency[J]. Journal of Electrical Engineering, 2023, 18(4): 171-178.

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开关状态	T₁	T₂	T₃	T₄	T₅	T₆	u_AB
1	1	0	1	0	1	0	2E
2	1	0	0	0	1	1	E
3	0	0	1	1	1	0	E
4	1	1	1	0	0	0	0
5	0	0	0	1	1	1	0
6	1	1	0	0	0	1	-E
7	0	1	1	1	0	0	-E
8	0	1	0	1	0	1	-2E

低开关频率下五电平逆变器双波段特定谐波消除方法^*

Double-band Selective Harmonic Elimination Method for Five-level Inverter with Low Switching Frequency

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开关状态	T₁	T₂	T₃	T₄	T₅	T₆	u_AB
1	1	0	1	0	1	0	2E
2	1	0	0	0	1	1	E
3	0	0	1	1	1	0	E
4	1	1	1	0	0	0	0
5	0	0	0	1	1	1	0
6	1	1	0	0	0	1	-E
7	0	1	1	1	0	0	-E
8	0	1	0	1	0	1	-2E

[1]	李国华, 韩颖, 李丰, 刘明. 七电平MPUC逆变器滞环SVPWM容错控制方法^*[J]. 电气工程学报, 2023, 18(3): 216-223.
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开关状态	T₁	T₂	T₃	T₄	T₅	T₆	u_AB
1	1	0	1	0	1	0	2E
2	1	0	0	0	1	1	E
3	0	0	1	1	1	0	E
4	1	1	1	0	0	0	0
5	0	0	0	1	1	1	0
6	1	1	0	0	0	1	-E
7	0	1	1	1	0	0	-E
8	0	1	0	1	0	1	-2E

开关状态	T₁	T₂	T₃	T₄	T₅	T₆	u_AB
1	1	0	1	0	1	0	2E
2	1	0	0	0	1	1	E
3	0	0	1	1	1	0	E
4	1	1	1	0	0	0	0
5	0	0	0	1	1	1	0
6	1	1	0	0	0	1	-E
7	0	1	1	1	0	0	-E
8	0	1	0	1	0	1	-2E