Multi-Time Method Based on State Equations for RF Circuit Analysis

The paper presents a new version of the state variable method for the analysis of the circuits driven by signals with widely separated time scales. The state equation formulation in a partially symbolic reduced form is used in order to obtain a MPDE (multi-time partial differential equation) form with a minimum number of independent variables. The order reduction is made using an implicit integration algorithm and eliminating some selected state variables. Combining an efficient procedure to compute the appropriate boundary conditions of the MPDE with the state variable approach, in which only the symbols of the parameters corresponding to the nonlinear circuit elements are considered, a significant efficiency in circuit design accelerating the reaching of the periodic steady state, and an improvement of the accuracy in the numerical calculations are obtained.