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

AbstractA 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, and2.a peaky function representing the radial flux density in the air gap of a hysteresis machine