# Analysis of Electrical Circuits with Variable Load Regime Parameters

## Projective Geometry Method

Book

Part of the Power Systems book series (POWSYS)

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

1. Front Matter
Pages 27-27
2. A. Penin
Pages 29-54
3. A. Penin
Pages 55-95
4. A. Penin
Pages 97-127
5. A. Penin
Pages 129-151
4. ### Multi-port Circuits. Projective Coordinates of a Point on the Plane and Space

1. Front Matter
Pages 153-153
2. A. Penin
Pages 155-184
3. A. Penin
Pages 185-214
4. A. Penin
Pages 215-243
5. A. Penin
Pages 245-257
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

### Introduction

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.

### Keywords

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

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

• Book Title Analysis of Electrical Circuits with Variable Load Regime Parameters
• Book Subtitle Projective Geometry Method
• Authors A. Penin
• Series Title Power Systems
• Series Abbreviated Title Power Systems
• DOI https://doi.org/10.1007/978-3-319-16351-2
• Copyright Information Springer International Publishing Switzerland 2015
• Publisher Name Springer, Cham
• eBook Packages Energy Energy (R0)
• Hardcover ISBN 978-3-319-16350-5
• eBook ISBN 978-3-319-16351-2
• Series ISSN 1612-1287
• Series E-ISSN 1860-4676
• Edition Number 1
• Number of Pages XXI, 343
• Number of Illustrations 223 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site