Analysis of the periodic steady-state in nonlinear circuits using an adaptive function base

In this paper, we introduce a method for the analysis of the periodic steady-state in nonlinear circuits, performing well even in cases, where the harmonic balance (HE) is unsuited. A series expansion of the state variables with a self-adaptive function base is essential. This results in approximations with few parameters and therefore in a small computational effort. Examples validate the method with these features: Only a fraction of necessary unknown quantities compared to HE, effective application to circuit optimization, and the analysis of autonomous systems.