Warped MPDAE Models with Continuous Phase Conditions

Summary

In radio frequency (RF) application, electric circuits often exhibit multitone signals, where time scales differ by several orders of magnitude. Thus circuit simulation by means of transient analysis becomes inefficient. A multivariate model yields an alternative strategy considering amplitude as well as frequency modulation. Consequently, a warped multirate partial differential algebraic equation (MPDAE) has to be solved using periodic boundary conditions. Thereby, the determination of a local frequency function is crucial for the efficiency of the model. For this purpose, two special choices of continuous phase conditions are applied as additional boundary conditions. Numerical simulations show that these continuous phase conditions identify local frequency functions, which are physically reasonable.