A mathematical technique determining the switching angles for PWM single phase inverter that also reduces high order-harmonics

IF 1.4 4区工程技术 Q4 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Analog Integrated Circuits and Signal Processing Pub Date : 2025-05-15 DOI:10.1007/s10470-025-02406-z

Umar Tabrez Shami, Sajjad Haider Shami, Ali Faisal Murtaza, Shan Ahmed

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Abstract

This research paper presents a mathematical technique to determine the switching angles of an alternating current (AC) pulse width modulation (PWM) waveform, with the area of the AC PWM waveform set equal to the area of a reference sinusoidal wave. The purpose of this research is to show the simplicity of the presented mathematical technique which not only determines the switching angles, but also mitigates low-order harmonics. Using the presented mathematical technique, a solution for PWM switching angles is demonstrated for the case where reference sinusoidal wave is divided into five segments. The complete AC PWM signal is constructed both in simulations and hardware. Both simulation and experimental results including the output equal area PWM voltage waveform, the frequency spectrum of each voltage waveform, and the total harmonic distortion, are presented and discussed. The agreement of the simulation and experimental results suggest the usefulness of the proposed mathematical technique.

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一种确定PWM单相逆变器开关角的数学方法，同时也降低了高次谐波

本文提出了一种确定交流脉宽调制（PWM）波形开关角的数学方法，将交流脉宽调制波形的面积设为与参考正弦波的面积相等。本研究的目的是显示所提出的数学技术的简单性，它不仅可以确定开关角度，还可以减轻低阶谐波。在参考正弦波分成五段的情况下，利用所提出的数学方法，给出了PWM开关角的求解方法。在仿真和硬件上构建了完整的交流PWM信号。给出并讨论了仿真和实验结果，包括输出等面积PWM电压波形、各电压波形的频谱和总谐波畸变。仿真结果与实验结果的一致性表明了所提出的数学方法的有效性。

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来源期刊

Analog Integrated Circuits and Signal Processing 工程技术-工程：电子与电气

CiteScore

0.30

自引率

7.10%

发文量

141

审稿时长

7.3 months

期刊介绍： Analog Integrated Circuits and Signal Processing is an archival peer reviewed journal dedicated to the design and application of analog, radio frequency (RF), and mixed signal integrated circuits (ICs) as well as signal processing circuits and systems. It features both new research results and tutorial views and reflects the large volume of cutting-edge research activity in the worldwide field today. A partial list of topics includes analog and mixed signal interface circuits and systems; analog and RFIC design; data converters; active-RC, switched-capacitor, and continuous-time integrated filters; mixed analog/digital VLSI systems; wireless radio transceivers; clock and data recovery circuits; and high speed optoelectronic circuits and systems.