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Analysis of Electrical Circuits with Variable Load Regime Parameters

Projective Geometry Method

  • Book
  • © 2020

Overview

  • Presents an in-depth approach to the properties of circuits with variable elements or loads
  • Introduces readers to the concept of projective geometry as a novel approach to electrical engineering and circuit theory
  • Provides a new geometrical approach to recurring and topical problems, making it of interest to experts in various areas of electrical engineering and radio electronics

Part of the book series: Power Systems (POWSYS)

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Table of contents (14 chapters)

  1. Electrical Circuits with One Load. Projective Coordinates of a Straight Line Point

  2. Multi-port Circuits. Projective Coordinates of a Point on the Plane and Space

  3. Circuits with Non-Linear Regulation Curves

Keywords

About this book

This book introduces readers to electric circuits with variable loads and voltage regulators. It defines invariant relationships for numerous parameters, and proves the concepts characterizing these circuits. Moreover, the book presents the fundamentals of electric circuits and develops circuit theorems, while also familiarizing readers with generalized equivalent circuits and using projective geometry to interpret changes in operating regime parameters. It provides useful expressions for normalized regime parameters and changes in them, as well as convenient formulas for calculating currents. 

This updated and extended third edition features new chapters on the use of invariant properties in two-port circuits, invariant energy characteristics for limited single-valued two-port circuits, and on testing projective coordinates. Given its novel geometrical approach to real electrical circuits, the book offers a valuable guide for engineers, researchers, and graduate students who are interested in basic electric circuit theory and the regulation and monitoring of power supply systems.  

Authors and Affiliations

  • “D. Ghitu” Institute of Electronic Engineering and Nanotechnologies, Chişinău, Moldova

    A. Penin

About the author

A. Penin graduated from the Institute of Radioelectronics and Telecommunications at Odessa National Polytechnic University in 1974. With a professional engineering interest in the field of power electronics, from 1980 to 2006 he worked at the Academy of Sciences of Moldova’s solid-state electronics design office, chiefly in the area of power supply systems. Since 2006, he has been working at the Academy of Sciences of Moldova’s Institute of Electronic Engineering and Nanotechnologies, where he is pursuing independent theoretical research on electric circuit theory with variable regimes. He is currently a senior research assistant, having completed his Ph.D. in 2011 and his habilitation qualification (Dr. habil.) in 2017. He has more than 80 publications, 50 Moldovan patents, one European patent, and two books to his credit.


Bibliographic Information

  • Book Title: Analysis of Electrical Circuits with Variable Load Regime Parameters

  • Book Subtitle: Projective Geometry Method

  • Authors: A. Penin

  • Series Title: Power Systems

  • DOI: https://doi.org/10.1007/978-3-030-35366-7

  • Publisher: Springer Cham

  • eBook Packages: Energy, Energy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-35365-0Published: 17 December 2019

  • Softcover ISBN: 978-3-030-35368-1Published: 17 December 2020

  • eBook ISBN: 978-3-030-35366-7Published: 07 December 2019

  • Series ISSN: 1612-1287

  • Series E-ISSN: 1860-4676

  • Edition Number: 3

  • Number of Pages: XXIII, 520

  • Number of Illustrations: 314 b/w illustrations

  • Topics: Power Electronics, Electrical Machines and Networks, Electronic Circuits and Devices, Semiconductors, Energy Systems

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