Time-Domain Analysis of Circuits with Ideal Switches by Nodal Equations

The paper presents a general computer-aided analysis method for switched circuits where the switching elements are modeled by ideal switch. There are no restrictions on circuit topology and switch connections. The switches can be both externally and internally controlled. The analysis method is based on modified nodal formulation that exploits an efficient algorithm developed for linear active circuits. The inconsistent initial value problem and Dirac delta impulses occurring because of ideal switch are investigated. It's given two examples concerning the analysis of switched circuits with ideal switch.

I. Introduction

Switching circuits are different from time-invariant circuits because of their switching operation. The significant effort has been made on the development of computer methods for analysis and design of switching circuits. These circuits have found wide applications in many areas of electrical and electronic engineering such as telecommunication networks, power electronic systems, switched capacitor (SC) circuits etc.