Circuit Analysis by a New Multirate Method

Abstract

This paper proposes a new multirate analysis method which selects a proper numerical integration stepsize for each variable in analyzing a circuit which has subcircuits with different rates. First a formulation technique of multirate circuit equations is derived. Then a rate classification technique is derived from the error estimation formula of the Backward Differetiation Formulas (BDF). Further a stepsize adjustment technique at a break point is explained. Finally the proposed method is applied to a basic filter and a DC-DC converter circuits which showed efficiency of the method.