Simulation of electronic circuits by state variables decoupling

This paper is concerned with the dynamic simulation of electronic circuits, and especially of static power converters. The simulation of power converters, which are intrinsically nonlinear systems due to the inner physical nature of the semiconductor switches, does require the numerical solution of their mathematical model with a reasonably high degree of difficulty. This paper presents an alternate method of simulation, with a simple and exact analytic closed-form solution, presenting a high precision, with intrinsical numerical stability, and high speed, principally in the cases of long simulations. It is based on the separation of the system in a set of linear state-space subsystems. These sub-systems are then diagonalized by means of a similarity transformation and solved by direct integration. This technique simplifies the system analytical solution and implies great velocity to the simulation. This paper includes a detailed mathematical analysis with a complete description of the proposed method. Experimental results on a set of test circuits, with a comparative analysis with PSPICE simulator are included, thus allowing the verification of the proposed algorithm.