Techniques for the practical application of duality to power circuits

Abstract

Techniques that simplify the application of duality to power circuits are presented. Duals are derived for ideal switches (including two- and four-quadrant switches) and semiconductor-controlled rectifiers (SCRs), transformers and coupled inductors, and capacitors. A collection of common topological structures and corresponding duals is also given. This library of dual relations allows even complicated circuits to be transformed, primarily by substitution.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>