Variational analysis of electrical networks

Abstract A unified variational approach to network analysis is presented. From an initial classification of variables, expressed in topological terms, Lagrangian energy functions are generated which may be used in Hamilton's principles. This topological formalism allows extension into nonconservative networks and enables the complete retention of classical formalism in all networks. By using a topological version of the Brayton-Moser mixed potential function, several power variational principles are developed. These principles lead to comparison of the roles played by classical energy and power state functions in analytical mechanics.