Circuit simulation using explicit methods: singular matrix issues

TL;DR

This paper discusses the limitations of the parallel resistor approach in explicit circuit simulation and introduces more robust, topology-aware methods to address singular matrix issues effectively.

Contribution

The paper presents new topology-aware approaches that improve robustness and efficiency over the traditional parallel resistor method in explicit circuit simulation.

Findings

New approaches outperform parallel resistor method in robustness

Topology-aware methods effectively handle singular matrices

Illustrated with multiple circuit examples

Abstract

Some aspects of the ELectrical EXplicit (ELEX) scheme for using explicit integration schemes in circuit simulation are discussed. It is pointed out that the parallel resistor approach, presented earlier to address singular matrix issues arising in the ELEX scheme, is not adequately robust for incorporation in a general-purpose simulator for power electronic circuits. New topology-aware approaches, which are more robust and efficient compared to the parallel resistor approach, are presented. Several circuit examples are considered to illustrate the new approaches.