Power Systems Applications of Graph Theory

by Zhu, Jizhong

• ISBN13: 9781607413646
• ISBN10: 1607413647
• Format: Hardcover
• Copyright: 2009-09-25
• Publisher: Nova Science Pub Inc

Summary

There are several books on the applications of graph theory, but none of them are related to power systems applications. This book attempts to cover all applications of graph theory in the area of power systems. It consists of two parts. The first part, containing four Chapters, briefly introduces the basic concepts of graph theory, major properties, theorems, and algorithms in graph theory and network flow programming. This definitive treatment makes graph theory easy to understand. The second part, containing 10 Chapters, is the practical application of graph theory and network flow programming to all kinds of power systems problems, which is the key part of the book. These applications include network flow calculation of power flow, classical economic power dispatch, security constrained economic dispatch, multi-areas system economic dispatch, reactive power optimisation and pricing in multi-area environment, hydro-thermal power system operation, power system state estimation, secure economic automatic generation control, automatic contingency selection, distribution network optimisation, and optimal load shedding. The treatment of each application includes the mathematical representation of power system problem, its relationship with graph theory and network flow programming, as well as the implementations accompanied by examples of power system application problem, solution, and results analysis. Each chapter contains the related references that collectively form an extensive guide to the primary research literature.

Table of Contents

Preface

Introduction

Basic Concepts of Graphs

Graph Theory

Network Flow Programming

Power Flow and Network Flow

Minimum Cost Flow Method For Power Systems Economic Dispatch

Application of Out-of-Kilter Algorithm To Economic Power Dispatch

Application of Graph Theory to Power Systems State Estimation

Application of Non-linear Convex Network Flow Programming to Multi-Area System Economic Dispatch

Secure and Economic Automatic Generation Control

VAR Optimisation and Pricing in Multi-Area Power System

Automatic Contingency Selection and Ranking

Optimisation of Electrical Distribution Network

Optimal Load Shedding using Out-of-Kilter Algorithm

Index

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