The use of companion harmonic circuit models for transient analysis and periodic steady state initialization in electrical networks with nonlinearities

Abstract This paper presents the use of companion harmonic circuit models for transient and harmonic analysis of electrical networks where an exact periodic steady state initialization method is proposed. The companion harmonic circuit models presented here, are the result of applying the trapezoidal integration rule to the differential equations characterizing electric elements in the dynamic harmonic domain. The technique is applied to a simple network exhibiting harmonics due to transformer saturation.

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