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

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.