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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年5月15日

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

摘要

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.