Analysis of Electrical Circuits with Variable Load Regime Parameters

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

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A. Penin

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

Power Systems

More information about this series at http://www.springer.com/series/4622

A. Penin

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

123

A. Penin “D. Ghitu” Institute of Electronic Engineering and Nanotechnologies Academy of Sciences of Moldova Chişinău Moldova

ISSN 1612-1287 Power Systems ISBN 978-3-319-28450-7 DOI 10.1007/978-3-319-28451-4

ISSN 1860-4676

(electronic)

ISBN 978-3-319-28451-4

(eBook)

Library of Congress Control Number: 2015935416 © Springer International Publishing Switzerland 2015, 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer International Publishing AG Switzerland

To my wife Lyudmila for many years of hope of success

Foreword

The classical electric circuit theory is widely presented in modern educational and scientific publications. The properties of circuits, which allow simplifying the analysis of complex networks in the case of change of one (or several) resistance or load, are known. These properties make appropriate sections in the circuit theory books. The problems of application and development of basic properties of circuits in an analytical view draw the attention of researchers at present times, despite opportunities of simulation computer systems. It occurs in science that someone looks at traditional problems from another viewpoint and a whole new direction with a new mathematical apparatus appears in this traditional area of science and engineering. The book, written by A. Penin, is an example of such a new approach in circuit theory or methods of their analysis. This book includes the author’s main publications, results of more than 30-year searches, reflections, and doubts. All this determine a new, unusual appro