Principles of Power Engineering Analysis: 1st Edition (Paperback) book cover

Principles of Power Engineering Analysis

1st Edition

By Robert C. Degeneff, M. Harry Hesse

CRC Press

452 pages | 200 B/W Illus.

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Principles of Power Engineering Analysis presents the basic tools required to understand the components in an electric power transmission system. Classroom-tested at Rensselaer Polytechnic Institute, this text is the only up-to-date one available that covers power system analysis at the graduate level.

The book explains from first principles the expressions that predict the performance of transmission systems and transformers. It then extends these concepts to balanced three-phase systems and unbalanced systems. The authors proceed to introduce symmetrical component analysis of transmission systems, three-phase transformers, and faulted systems. They also describe the design of untransposed transmission lines and discuss other analysis component systems, such as Clarke component networks.

Despite the tremendous changes that have occurred in the electrical industry over the last forty years, the need for a fundamental understanding of power system analysis has not changed. Suitable for a one-semester course, this book develops the necessary concepts in depth and illustrates the application of three-phase electric power transmission.


"This graduate-level textbook provides power engineers with a new well—written book on how to analyze three-phase power networks. It combines all the essential formulas and methods necessary to achieve a basic power system into one source and will be an excellent book for a class on power engineering."

—IEEE Electrical Insulation Magazine

Table of Contents

Transmission Line Characteristics

The Magnetic Field

The Electric Field

Induced Voltages

Conductor Resistance

Conductance (Leakage)

Transmission Line Performance Models


Single-Phase Transformers

Ideal Single-Phase Two-Winding Transformer

Practical Two-Winding Transformer

Per Unit Quantities

Transformer Polarity Designation

Transformers with Taps


Multiwinding Transformers

Magnetic Energy in Transformers

Magnetic Energy Method for Reconnected Windings

Balanced Three-Phase Systems

Wye-Connected Loads

Delta-Connected Loads

Three-Phase Per Unit System

Transmission Lines

Equivalent Circuits for Y-Y and ∆-∆Transformers

Wye-Delta Connected Transformers

Magnetizing Currents in Three-Phase Transformers

Steady State Power Transfer

Steady-State Synchronous Machine Characteristics

Three-Phase Four-Wire Network

Unbalanced Three-Phase Systems

Open Delta Connections

Single-Phase Load Carrying Capability

Symmetrical Components

Elementary Fault Interconnections


Symmetrical Component Representation of Transmission Lines

Series Impedance

Numerical Example

Single-Circuit Untransposed Line — Electromagnetic Unbalance

Transposed Line Sections

Double-Circuit Lines

Numerical Example

Double Circuit Untransposed Line — Electromagnetic Unbalance

Shunt Capacitive Reactance

Numerical Example

Single-Circuit Untransposed Line — Electrostatic Unbalance

Double-Circuit Lines

Numerical Example


Symmetrical Component Representation of Transformers

Phase Shift through Y-∆ Transformers

Zero Sequence Impedance of Y-Y Transformers

Zero Sequence Impedance of ∆-∆ Transformer

Zero Sequence Impedance of Y-GND-∆ Transformer

Zero Sequence Impedance of Three-Winding Transformers

Grounding Transformers

Three-Phase Autotransformers

Zero Sequence Network for ∆ Tertiary Autotrans

Autotransformer with Ungrounded Neutral and ∆ Tertiary


Symmetrical Component Fault Analysis

Symmetrical Three-Phase System

Generator Representation

Single-Line-to-Ground Fault (SLGF)

Single-Line-to-Neutral Fault (SLNF)

Line-to-Line Fault (LLF)

Line-to-Line-to-Ground Fault (LLGF)

Line-to-Line-to-Neutral Fault (LLNF)

Single Open Conductor (SOC)

Two Open Conductors (TOC)

Generalized Series Impedances

Generalized Shunt Impedance Unbalances

Simultaneous Faults

Faults Not Symmetrical with Respect to Phase "a"

Design of Untransposed Transmission Lines

Symmetrical Phase Impedance Matrix

Unsymmetrical Symmetrical Component Impedance Matrix

Selecting Phase "a" Central to Phases "b" and "c"

Symmetrical Form for the Symmetrical Component Impedance Matrix

Equivalent Circuit Configuration

Phase Rotation

Phase Transposition

Other Component Systems

Clarke Components

Clarke Component Impedance in Terms of Symmetrical Component Impedances

Clarke Component Networks

Tests for Clarke Component Impedances

Three-Phase Fault



Generalized Clarke Component Network Interconnections for Series Impedance Unbalance

Y-∆ Transformers

Transient Solutions by Component Systems


Appendix A: Principles of Electricity and Magnetism

Appendix B: Concept of Flux-Linkage and Inductance

Appendix C: Electromagnetic Field above a Perfectly Conducting Plane

Appendix D: Carson’s Earth-Return Correction Factors

Appendix E: Matrix Algebra

Appendix F: Magnetic Energy in Transformers

Appendix G: Exciting Current in Three-Legged Core-Type Transformer

Appendix H: Hyperbolic Functions

Appendix I: Equivalent Networks

Appendix J: Y-∆ Relationships

Appendix K: Analysis of Electromagnetic Circuits

Appendix L: List of Symbols and Contexts


Exercises appear at the end of each chapter.

About the Authors

Robert C. Degeneff is the founder and president of Utility Systems Technologies, Inc., which builds electronic voltage regulators and power quality mitigation equipment and provides consulting to the utility industry. A recipient of the IEEE Herman Halprin Award, Dr. Degeneff is also a professor emeritus at Rensselaer Polytechnic Institute, a PE in New York, a fellow of the IEEE, and chair of the IEEE working group that wrote the C57.142 guide. His research interests include computing the transient response of electrical equipment, power quality, and utility systems planning.

M. Harry Hesse was a professor emeritus at Rensselaer Polytechnic Institute. A Fulbright fellow and recipient of the Power Engineering Educator Award from Edison Electrical Institute, he was also a PE in New York and a fellow of the IEEE.

Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Power Resources / Electrical