Principles of Passive Electrical Circuit Modeling

Abstract

In this chapter, we shall discuss issues relating to the modeling of simple passive electrical circuits consisting of sources, resistors, capacitors, and inductors only. The traditional approach to this type of system is through either mesh equations or node equations. However, the resulting models are not in a state—space form and they cannot easily be converted into a state—space form thereafter. We shall also discuss another technique that allows us to derive a state—space model directly and we shall see why this approach is not commonly used. Very often, the resulting equations contain either algebraic loops or structural singularities.