The node system of equations

Abstract

The minimum number of simultaneous equations and unknowns required to describe the behavior of an electrical network is in many cases obtained by considering the independent node voltages to be the unknown variables. However, the usual techniques for writing node equations are not applicable to networks containing ideal voltage sources not incident to the reference node.The node system of equations for general networks with ideal current and voltage sources arbitrarily located, is derived on the basis of a particular type of cut-set or segregate matrix, and a novel method for writing the node equations of such networks by inspection is presented. The application to networks containing vacuum tubes, transistors and magnetic coupling is illustrated.