Parameter Identification of Bivariate Polynomials for Frequency Domain Models

Two frequency domain, FD, models for a single-phase half-wave controlled one-transistor rectifier are developed. These models consist of a set of bivariate polynomials in terms of the magnitude and the phase, the control parameters being the fundamental voltage component (magnitude and phase) and the firing angle values. The models can be built based on simulated data or measurements for a specific number of magnitudes, phases, and firing angles of current harmonic components. The models are implemented in a frequency domain software and are validated by comparing the obtained current waveforms with the waveforms used to generate the models. Also, a procedure for model parameters identification, certain error criteria, and a comparison of the models are presented.