© 2020

Analysis of Electrical Circuits with Variable Load Regime Parameters

Projective Geometry Method


Part of the Power Systems book series (POWSYS)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. A. Penin
    Pages 1-26
  3. Electrical Circuits with One Load. Projective Coordinates of a Straight Line Point

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

    1. Front Matter
      Pages 193-193
    2. A. Penin
      Pages 277-318
  5. Circuits with Non-Linear Regulation Curves

    1. Front Matter
      Pages 359-359
    2. A. Penin
      Pages 361-384
    3. A. Penin
      Pages 385-410
    4. A. Penin
      Pages 411-436
  6. Circuits with Non-Linear Load Characteristics

  7. Back Matter
    Pages 515-520

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.  


Capacity of Power Supply Characterization of Electronic Circuits Circuit Theorems Electric Circuits Voltage Regulators Electric Load Characteristics Multi-port Circuits Multi-port Networks PWM Voltage Converter Projective Transformation Voltage Regulator

Authors and affiliations

  1. 1.“D. Ghitu” Institute of Electronic Engineering and NanotechnologiesChişinăuMoldova

About the authors

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

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