A generalized mathematical model for an ac chopper output voltage

Abstract

AC choppers are modified types of ac voltage controllers. They become very popular nowadays in many applications, because objectionable harmonic components of its output voltage and current can be eliminated. The output voltage waveform of the ac chopper may have many patterns with as many segments as desired. This paper presents a generalized mathematical model for the output voltage waveform of an ac chopper. The output voltage waveform is realized by multiplying the control pulses by a sine wave. Many patterns of the output waveform can be produced by setting suitable constraints. The practical circuit of the proposed model is out of the scope of this paper. The model is implemented using MATLAB. Typical patterns are presented to illustrate the versatility of the proposed model.