Electric Power System Applications of Optimization: 2nd Edition (Hardback) book cover

Electric Power System Applications of Optimization

2nd Edition

By James A. Momoh

CRC Press

602 pages | 105 B/W Illus.

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pub: 2008-12-20
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As the demand for energy continues to grow, optimization has risen to the forefront of power engineering research and development. Continuing in the bestselling tradition of the first edition, Electric Power System Applications of Optimization, Second Edition presents the theoretical background of optimization from a practical power system point of view, exploring advanced techniques, new directions, and continuous application problems.

The book provides both the analytical formulation of optimization and various algorithmic issues that arise in the application of various methods in power system planning and operation. The second edition adds new functions involving market programs, pricing, reliability, and advances in intelligent systems with implemented algorithms and illustrative examples. It describes recent developments in the field of Adaptive Critics Design and practical applications of approximate dynamic programming. To round out the coverage, the final chapter combines fundamental theories and theorems from functional optimization, optimal control, and dynamic programming to explain new Adaptive Dynamic Programming concepts and variants.

With its one-of-a-kind integration of cornerstone optimization principles with application examples, this second edition propels power engineers to new discoveries in providing optimal supplies of energy.

Table of Contents


Structure of a Generic Electric Power System

Power System Models

Power System Control

Power System Security Assessment

Power System Optimization as a Function of Time

Review of Optimization Techniques Applicable to Power Systems

Electric Power System Models

Complex Power Concepts

Three-Phase Systems

Per Unit Representation

Synchronous Machine Modeling

Reactive Capability Limits

Prime Movers and Governing Systems

Automatic Gain Control

Transmission Subsystems

Y-Bus Incorporating the Transformer Effect

Load Models

Available Transfer Capability

Illustrative Examples

Power-Flow Computations

Types of Buses for PF Studies

General Form of the PFEs

Practical Modeling Considerations

Iterative Techniques for PF Solution

Practical Applications of PF Studies

Illustrative Examples

Constrained Optimization and Applications

Theorems on the Optimization of Constrained Functions

Procedure for Optimizing Constrained Problems (Functions)

Karush–Kuhn Tucker Condition

Illustrative Problems

Power Systems Application Examples

Illustrative Examples

Linear Programming and Applications

Mathematical Model and Nomenclature in LP

LP Solution Techniques

Duality in LP

Khun–Tucker Conditions in LP

Mixed-Integer Programming

Sensitivity Methods for Postoptimization in LP

Power Systems Applications

Illustrative Examples

Interior Point Methods

Karmarkar’s Algorithm

Projective-Scaling Method

Dual Affine Algorithm

Primal Affine Algorithm

Barrier Algorithm

Extended IP Method for LP Problems

FI Sequence

Extended Quadratic Programming Using IP Method

Illustrative Examples

Nonlinear Programming

Classification of NLP Problems

Sensitivity Method for Solving NLP Variables

Algorithm for Quadratic Optimization

Illustrative Example (Barrier Method for Solving NLP)

Illustrative Examples

Dynamic Programming

Characteristics of DP

Concept of Suboptimization and the Principle of Optimality

Formulation of DP

Backward and Forward Recursion

Computational Procedure in DP

Computational Economy in DP

Systems with More Than One Constraint

Conversion of a Final Value Problem into an Initial Value Problem

Illustrative Examples

Lagrangian Relaxation


Subgradient Method for Setting the Dual Variables

Setting tk

Comparison with LP-Based Bounds

Improved Relaxation

Summary of Concepts

Past Applications


Illustrative Examples

Decomposition Method

Formulation of the Decomposition Problem

Algorithm of the Decomposition Technique

Illustrative Example of the Decomposition Technique

State Estimation

Historical Perspective of State Estimation

Simple Mathematical Background

State Estimation Techniques

Applications to Power Network

Illustrative Examples

Optimal Power Flow

OPF—Fuel Cost Minimization

OPF—Active Power Loss Minimization

OPF—VAr Planning

OPF—Adding Environmental Constraints

Commonly Used Optimization Technique (LP)

Commonly Used Optimization Technique (NLP)

Illustrative Examples


Marginal Pricing

Marginal Costing

Marginal Revenue

Pricing Policies for Regulated Systems and Markets

Pricing Methods

Economic Basis of Shadow Prices in Linear Programming (LP)


Alternative OPF Formulation for Pricing Using Duality in LP

Unit Commitment

Formulation of Unit Commitment

Optimization Methods

Illustrative Example

Updating ln(t) in the Unit Commitment Problem

Unit Commitment of Thermal Units Using Dynamic Programming

Illustrative Problems

Genetic Algorithms

Definition and Concepts Used in Genetic Computation

GA Approach

Theory of GAs

Schemata Theorem

General Algorithm of GAs

Application of GAs

Application to Power Systems

Illustrative Examples

Functional Optimization, Optimal Control, and Adaptive Dynamic Programming

System Performance Evaluation and Optimization of Functionals

Solving the Optimal Control Problem

Selected Methods of Determining the Control Functions for Convergence of Optimum Principle

Adaptive Critics Design (ACD) and ADP

Architecture of ACDs []

Typical Architectures of Variants or ADP (Critics Illustrations)

Applications of DSOPF to Power Systems Problems


Each chapter includes an introduction, conclusion, and problem set

About the Author

Momoh\, James A.

About the Series

Power Engineering (Willis)

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Electronics / General