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

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. 

Introduction.- Part I: Electrical Circuits with One Load - Projective Coordinates of a Straight Line Point.-  Operating Regimes of an Active Two-Pole. Display of Projective Geometry.- Generalized Equivalent Circuit of an Active Two-Pole with a Variable element.- Two-Port Circuits.- Paralleling of Limited Capacity Voltage Sources.- Part II : Multi-port Circuits -  Projective Coordinates of a Point on the Plane and Space.- Operating Regimes of an Active Multi-port.- Recalculation of Load Currents of Active Multi-ports.- Passive  Multi-Port Circuits.- Generalized Equivalent Circuit of a Multi-port.- Part III: Circuits with Non-Linear Regulation Curves.- Regulation of Load Voltages.- Stabilization of Load Voltages.- Pulse-Width Modulation Regulators.- Part IV: Circuits with Non-Linear Load Characteristics.- Power-Source and Power-Load Elements.- Quasi-Resonant Voltage Converter with Self-Limitation of the Load Current. Similarity of Load Characteristics of Some Electronic Devices.- Conclusions.

A. Penin graduated from Radio Department Polytechnic Institute in 1974, Odessa, Ukraine. His engineering interest relates to power electronics. He worked (1980-2006) in the design office of solid-state electronics of the Academy of Sciences of Moldova. His speciality is the elaboration of power supply systems. From 2006 he has been working in the Institute of Electronic Engineering and Nanotechnologies of the Academy of Sciences of Moldova. He continues independent theoretical research in electric circuit theory with variable regimes. He is a senior research assistant, PhD (2011). The author has more than 60 publications, 40 patents of Moldova, one European patent, and one book.