Stochastic Polynomial-Chaos-Based Average Modeling of Power Electronic Systems

With the introduction of variable-frequency generators in next-generation more-electric aircraft, both voltage and frequency are to reveal significant tolerance levels. In this study, a method based on the combination of polynomial chaos and nodal analysis is developed to identify and quantify the impact of such tolerance in ac/dc diode rectifiers and dc/dc switch-mode converters. The resulting stochastic average models track the transients of the tolerance limits and related information in the time domain both accurately and efficiently. The relative merits of the method are substantiated through a comparative analysis with the Monte Carlo and root-sum-square methods.