Understanding Symmetrical Components for Power System Modeling

J. C. Das

• Publisher: Wiley-IEEE Press
• Year: 2016
• ISBN:
  9781119226888
• Edition: 1
• Topic: Scienze fisiche
• Subtopic: Energia

An essential guide to studying symmetrical component theory

• Provides concise treatment of symmetrical components
• Describes major sequence models of power system components
• Discusses Electromagnetic Transient Program (EMTP) models
• Includes worked examples to illustrate the complexity of calculations, followed by matrix methods of solution which have been adopted for calculations on digital computers

CHAPTER 1
Symmetrical Components Using Matrix Methods

THE METHOD of symmetrical components was originally proposed by Fortescue in 1918 [1]. We study three-phase balanced systems, by considering these as single-phase system. The current or voltage vectors in a three-phase balanced system are all displaced by 120 electrical degrees from each other. The fundamental texts on electrical circuits [2] derive the equations governing the behavior of three-phase balanced systems. This simplicity of representing a three-phase as a single-phase system is lost for unbalanced systems. The method of symmetrical components has been an important tool for the study of unbalanced three-phase systems, unsymmetrical short-circuit currents, models of rotating machines and transmission lines, etc.

There have been two approaches for the study of symmetrical components:

• A physical description, without going into much mathematical matrix algebra equations.
• A mathematical approach using matrix theory.

This book will cover each of these two approaches to provide a comprehensive understanding. The mathematical approach is adopted in this chapter followed by Chapter 2, which provides some practical concepts and physical significance of symmetrical components. Some publications on symmetrical components are in References [3–6].

It can be mentioned that in the modern age of digital computers, the long-hand calcul...

Table of contents

• Cover
• IEEE Press
• Title page
• Copyright
• About the Author
• Foreword
• Preface and Acknowledgments
• Chapter 1 Symmetrical Components Using Matrix Methods
• Chapter 2 Fundamental Concepts of Symmetrical Components
• Chapter 3 Symmetrical Components-Transmission Lines and Cables
• Chapter 4 Sequence Impedances of Rotating Equipment and Static Load
• Chapter 5 Three-Phase Models of Transformers and Conductors
• Chapter 6 Unsymmetrical Fault Calculations
• Chapter 7 Some Limitations of Symmetrical Components
• Index
• IEEE Press Series on Power Engineering
• EULA