Analysis of Electrical Circuits with Variable Load Regime Parameters: Projective Geometry Method

Abstract

This book introduces electric circuits with variable loads and voltage regulators. It allows to define invariant relationships for various parameters of regime and circuit sections and to prove the concepts characterizing these circuits. The book presents the fundamentals of electric circuits and develops circuit theorems. Generalized equivalent circuits are introduced. Projective geometry is used for the interpretation of changes of operating regime parameters. Expressions of normalized regime parameters and their changes are presented. Convenient formulas for the calculation of currents are given. Parallel voltage sources and the cascade connection of multi-port networks are described. The two-value voltage regulation characteristics of loads with limited power of voltage source is considered. This second edition is extended and contains additional chapters on circuits with non-linear regulation curves, circuits with non-linear load characteristics, concepts of power-source and power-load elements with two-valued characteristics, quasi-resonant voltage converters with self-limitation of current as well as the similarity of characteristics of converters and electronic devices. This book is useful to engineers, researchers and graduate students who are interested in the basic electric circuit theory and the regulation and monitoring of power supply systems.