Circuit simulation using explicit methods

TL;DR

This paper explores explicit numerical methods for simulating electrical circuits, highlighting the use of the Runge-Kutta-Fehlberg method for improved accuracy and stability in power electronics applications.

Contribution

It introduces the application of variable step explicit methods, specifically RKF, for circuit simulation, addressing stability and accuracy issues in power electronic circuits.

Findings

RKF method improves simulation accuracy

Variable step size enhances stability

Explicit methods are viable for power electronics

Abstract

Use of explicit methods for simulating electrical circuits, especially for power electronics applications, is described. Application of the forward Euler method to a half-wave rectifier is discussed, and the limitations of a fixed-step method are pointed out. Implementation of the Runge-Kutta-Fehlberg (RKF) method, which allows variable time steps, for the half-wave rectifier circuit is discussed, and its advantages pointed out. Formulation of circuit equations for the purpose of simulation using the RKF method is described for some more examples. Stability and accuracy issues related to power electronic circuits are brought out, and mechanisms to address them are presented. Future plans related to this work are described.