引用本文:李素非,李国杰,翟登辉,等.级联型多电平逆变器最小总谐波失真阶梯调制策略研究[J].电力系统保护与控制,2014,42(19):8-17.
LI Su-fei,LI Guo-jie,ZHAI Deng-hui,et al.Staircase modulation strategy with minimum total harmonic distortion for cascaded multilevel inverters[J].Power System Protection and Control,2014,42(19):8-17
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级联型多电平逆变器最小总谐波失真阶梯调制策略研究
李素非1, 李国杰1, 翟登辉2, 王卫星2
1.电力传输与功率变换控制教育部重点实验室,上海交通大学电气工程系,上海 200240;2.许继电气股份有限公司,河南 许昌 461000
摘要:
为了降低级联型多电平逆变器的输出电压谐波分量,提出了一种新颖的基于KKT条件最优化方法的阶梯调制策略。利用KKT条件法,经过严格的数学推导,得到相应的导通角计算方法,所提出的阶梯调制策略能够在任意调制系数下最小化阶梯波输出的总谐波失真(THD)。另外利用牛顿-拉普逊迭代法来求取上述导通角计算中的关键参数。为了克服牛顿—拉普逊迭代法计算速度慢的缺点,提出了幂函数逼近法来简化计算复杂度。最后,对上述方法进行了仿真分析,得到了固定和可变调制系数下的级联逆变器输出电压波形和其频谱分布。仿真结果证实了调制策略的有效性。
关键词:  级联型多电平逆变器  总谐波失真  阶梯调制  KKT条件法  函数逼近
DOI:10.7667/j.issn.1674-3415.2014.19.002
分类号:
基金项目:国家自然科学基金(51477098);国家高技术研究发展计划863计划(2012AA050212);国家国际科技合作专项项目(2013DFG71630)
Staircase modulation strategy with minimum total harmonic distortion for cascaded multilevel inverters
LI Su-fei1, LI Guo-jie1, ZHAI Deng-hui2, WANG Wei-xing2
1.Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education (Department of Electrical Engineering, Shanghai Jiao Tong University), Shanghai 200240, China;2.Xuji Electric Co.,LTD, Xuchang 461000, China
Abstract:
In order to decrease the output-voltage harmonic components of cascaded multilevel inverter, this paper proposes a novel staircase modulation strategy based on Karush-Kuhn-Tucker (KKT) conditions. With KKT conditions and rigorous mathematical derivation, this paper acquires the corresponding calculation method of conducting angles, and the proposed staircase modulation strategy can minimize the total harmonic distortion (THD) under arbitrary modulation index. Furthermore, this paper takes advantage of Newton-Raphson iteration method to obtain the key parameter in the aforementioned conducting angle calculation method. To overcome the deficiency of slow calculation speed of Newton-Raphson iteration method, this paper proposes the power function approximation approach to simplify calculation complexity. Finally, this paper undertakes simulation analysis and obtains the output voltage waveforms and their frequency-domain distributions under both fixed and varying modulation indices. Simulation results verify the effectiveness of the modulation strategy.
Key words:  cascaded multilevel inverter  THD  staircase modulation  KKT conditions  function approximation
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