A new method for fourier analysis of discontinuous and peaky periodic waveforms

A simple algorithms is presented for calculating the Fourier coefficients of discontinuous and peaky periodic waveforms. The implementation of this algorithm requires only simple mathematical operations: summations and multiplications. Applications of the proposed algorithm are illustrated by two examples: 1. a discontinuous waveform representing the output voltage of a cycloconverter, and 2. a peaky function representing the radial flux density in the air gap of a hysteresis machine.