Computational Methods for Electric Power Systems: 3rd Edition (Hardback) book cover

Computational Methods for Electric Power Systems

3rd Edition

By Mariesa L. Crow

CRC Press

333 pages | 87 B/W Illus.

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Hardback: 9781498711593
pub: 2015-11-18
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Computational Methods for Electric Power Systems introduces computational methods that form the basis of many analytical studies in power systems. The book provides the background for a number of widely used algorithms that underlie several commercial software packages, linking concepts to power system applications. By understanding the theory behind many of the algorithms, the reader can make better use of the software and make more informed decisions (e.g., choice of integration method and step size in simulation packages).

This Third Edition contains new material on preconditioners for linear iterative methods, Broyden’s method, and Jacobian-free Newton–Krylov methods. It includes additional problems and examples, as well as updated examples on sparse lower-upper (LU) factorization. It also adds coverage of the eigensystem realization algorithm and the double-shift method for computing complex eigenvalues.


"This book analyzes the most relevant mathematical tools for power system analysis. It is well written, well balanced, and treats the mathematical issues with a good degree of rigor and clarity. The numerical examples are illustrative and useful. … I’m considering to adopt this book for my course, since it condenses in a unique reference the mathematical backbone of the most important power system analysis tools."

—Alfredo Vaccaro, University of Sannio, Benevento, Italy

"This book fits well into my short circuit analysis course (ECE610). … The textbook flows, and it is a good reference book even if it is not used as a textbook. … This book is a must for any power systems faculty. … This textbook can be a great complement to other textbooks that do not cover the material in depth. The sequential examples presented make this book quite friendly to the students."

—Bruno Osorno, California State University, Northridge, USA

"… presents a nonconventional approach to teach or understand power system analysis: mathematics first, then each topic is related to power system applications. … This approach is ideal for researchers and graduate students, and can immediately lead them into the power system field. … Algorithms, however sophisticated, are explained with clarity, along with numerical examples to help the reader get the point."

—Lingling Fan, University of South Florida, Tampa, USA

"… an excellent combination of topics regarding computational aspects and numerical algorithms for power system analysis, operations, and control. … very useful for me to teach ECE530 [on analysis techniques for large-scale energy systems]."

—Hao Zhu, University of Illinois, Urbana-Champaign, USA

"… an excellent textbook … for a graduate-level course in electric power engineering. … covers a broad range of topics related to computational methods for power systems. … contains very good problems for students’ homework. I highly recommend this book for graduate teaching in electric power."

—Fangxing Li, University of Tennessee, Knoxville, USA

"This book is complete in respect to the tools used for power system engineering. … It is compact and nicely written. … Many commercial packages are available in the market. They are just used in input-output form. Students never get the feeling of the methods used inside. It is required to understand the methods. [Thus,] this book is very useful."

—Professor SN Singh, Department of Electrical Engineering, Indian Institute of Technology Kanpur

Table of Contents


The Solution of Linear Systems

Gaussian Elimination

LU Factorization

Condition Numbers and Error Propagation

Stationary Iterative Methods

Conjugate Gradient Methods

Generalized Minimal Residual Algorithm

Preconditioners for Iterative Methods


Systems of Nonlinear Equations

Fixed-Point Iteration

Newton–Raphson Iteration

Quasi-Newton Methods

Continuation Methods

Power System Applications


Sparse Matrix Solution Techniques

Storage Methods

Sparse Matrix Representation

Ordering Schemes

Power System Applications


Numerical Integration

One-Step Methods

Multistep Methods

Accuracy and Error Analysis

Numerical Stability Analysis

Stiff Systems

Step Size Selection

Differential-Algebraic Equations

Power System Applications



Least Squares State Estimation

Linear Programming

Nonlinear Programming

Power System Applications


Eigenvalue Problems

The Power Method

The QR Algorithm

Arnoldi Methods

Singular Value Decomposition

Modal Identification

Power System Applications



About the Author

Mariesa L. Crow is a professor of electrical engineering at the Missouri University of Science and Technology, Rolla, USA. Dr. Crow is director of the Energy Research and Development Center. Her areas of research include computer-aided analysis of power systems; dynamics and security analysis; voltage stability; computational algorithms for analyzing stressed, non-linear, non-continuous systems; power-electronic applications in bulk power systems (FACTS); and parameter estimation.

About the Series

Electric Power Engineering Series

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Subject Categories

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