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Mathematical proof of a harmonic elimination procedure for multilevel inverters
Mathematics and Computers in Simulation ( IF 4.6 ) Pub Date : 2021-06-01 , DOI: 10.1016/j.matcom.2020.07.003
Concettina Buccella , Maria Gabriella Cimoroni , Carlo Cecati

Abstract In this paper, a single phase cascaded H-bridge inverter with s variable dc sources ( s ≥ 2 ), l = 2 s + 1 levels has been considered. A mathematical proof is presented to demonstrate that, under a particular choice of the switching angles, which number corresponds to the number of dc sources i.e. s , and of the dc voltages, all harmonics are eliminated from the output voltage waveform, except those of order n = 4 p ⋅ s ± 1 , p = 1 , 2 , … . With this method, the dc voltage sources vary linearly according to the modulation index m , while the switching angles do not depend on m . The resulting output voltage has low total harmonic distortion, that remains independent on m . Compared to a conventional selective harmonic elimination procedure and to a pulse amplitude method, the proposed procedure reduces distortion in a wide range of modulation index.

中文翻译:

多电平逆变器消谐过程的数学证明

摘要 在本文中,考虑了具有 s 个可变直流源 ( s ≥ 2 )、l = 2 s + 1 个电平的单相级联 H 桥逆变器。提出了一个数学证明来证明,在特定选择的开关角下,该数量对应于直流电源的数量,即 s 和直流电压,所有谐波都从输出电压波形中消除,除了阶次的谐波n = 4 p ⋅ s ± 1 , p = 1 , 2 , ... 。使用这种方法,直流电压源根据调制指数 m 线性变化,而开关角不取决于 m 。由此产生的输出电压具有低总谐波失真,保持独立于 m 。与传统的选择性谐波消除程序和脉冲幅度方法相比,
更新日期:2021-06-01
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