© 2015

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-xxi
  2. A. Penin
    Pages 1-25
  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 153-153
    2. A. Penin
      Pages 215-243
  5. Circuits with Regulation and Stabilization of Load Voltages with Limited Capacity Power Supply

    1. Front Matter
      Pages 259-259
    2. A. Penin
      Pages 261-284
    3. A. Penin
      Pages 285-315
    4. A. Penin
      Pages 317-337
  6. Back Matter
    Pages 339-343

About this book


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. 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. The book presents the fundamentals of electric circuits and develops circuit theorems. It 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.


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 NanotechnologiesAcademy of Sciences of MoldovaChişinăuMoldova

About the authors

A. Penin was born in 1952. He graduated from Radio Department Polytechnic Institute in 1974, Odessa, Ukraine.

His engineering interest relates to power electronics. Between 1980 and 2006 he worked in the design office of solid-state electronics of Academy of Sciences of Moldova; the elaboration of power supply systems.

Ever since 2006 he has been working in the Institute of Electronic Engineering and Nanotechnologies of Academy of Sciences of Moldova; he continues the early begun, 70-th years, the independent theoretical researches in the electric circuit theory with variable regimes. He is a senior research assistant, PhD (2011).

Bibliographic information