On Walsh/block pulse domain analysis of power electronic circuits Part 2. Continuously pulse-width modulated inverter

Abstract

A new operational technique for the analysis of a continuously pulse-modulated inverter is suggested, where the input pulse wave is expressed by a series combination of Walsh/block pulse functions. A Walsh operational transfer function (WOTF) is utilized instead of a conventional transfer function to obtain the output response, e.g. average and r.m.s. values of load current in the Walsh domain. The transformation from the Walsh to the block pulse domain or vice versa is achieved through a well-known similarity transformation using the Walsh matrix W. Also, a fast algorithm is developed using a single pulse modulation matrix (SPMM). The method is suitable for compuler manipulations and has no restriction on the variation of the modulation delay and the shape or amplitude of the input waveform. Selection of proper time scaling for WOTF gives the solution in the desired time range. Results are found to be in good agreement with the exact solutions.