A Pearson's Random Walk Method of Estimating the Electromagnetic Emissions of $N$ Parallel Connected Power Electronic Converters

This article presents a Pearson's random walk approach for modelling the electromagnetic emissions of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$N$</tex-math></inline-formula> parallel connected power electronic converters. For the first time, a methodology that enables testing the random walk approach is presented. This methodology is validated in two ways: firstly, via simulations of a simplified setup consisting of 8 half-bridge power electronic converters. Secondly, it is validated with the use of an experimental setup consisting of 3 dc/dc converters. The verification is done in the complex domain, as well as by comparing the magnitude of the common mode current via the theoretical cumulative distribution function and the empirical cumulative distribution function. Finally, the probability of electromagnetic interference reduction at a specific harmonic of the switching frequency is derived.