Time Domain Method for the Determination of the Steady State Behaviour of Nonlinear Circuits Driven by Multi-Tone Signals

A. Brambilla,
Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milano, Italy

G. Storti-Gajani,
Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milano, Italy

DOI: 10.36724/2664-066X-2021-7-3-12-16

SYNCHROINFO JOURNAL. Volume 7, Number 3 (2021). P. 12-16.


Time domain methods, while well suited to compute the steady state behaviour of strongly nonlinear non-autonomous electrical circuits, are inefficient if the periods of the forcing signals have a very large minimum common multiple. The solution of the periodicity constraint requires to integrate the differential algebraic equation (DAE) describing the circuit along the T period and this can be a CPU time consuming task. Literature reports several attempts to extend the SH method to simulate circuits driven by multi-tone signals [2] [4] [5]. However, as far as we know, all they suffer of limitations and it is our opinion that an efficient and general extension has not been found, yet. In this paper we present a possible extension that takes its origin from the previous approach reported in [2]. In this paper a modification of the conventional shooting method is presented that tries to overcome the above drawback.

Keywords: shooting method, harmonic balance, steady state analysis.


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