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Analytical Closed-Form Expressions for Magnitudes of Voltage Harmonics in a Two-Level Voltage Source Inverter

By Uppuluri Suryavalli, Vaibhav Vivek Deshmukh and V. S. S. Pavan Kumar Hari  
Department of Energy Science and Engineering, 
Indian Institute of Technology Bombay, Mumbai, India  

Abstract - Analytical evaluation of the harmonic spectra pertaining to pulse width modulated (PWM) voltage waveforms, using double Fourier series, is a computationally intensive exercise. This paper presents simple closed-form expressions for the Fourier coefficients of output voltage in a two-level voltage source inverter operated with regular symmetrically-sampled sine-triangle PWM. The proposed approach is based on Fourier theory of jumps and doesn't involve integration. Simulation and experimental results are presented to validate the proposed analytical approach.

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