Crow Computational Methods for Electric Power Systems, Second Edition

2. Auflage 2012
ISBN: 978-1-4665-5606-5
Verlag: Taylor & Francis
Format: EPUB
Kopierschutz: 0 - No protection

E-Book, Englisch, 304 Seiten

Reihe: Electric Power Engineering Series

Improve Compensation Strategies for Package Shortcomings
In today's deregulated environment, the nation's electric power network is forced to operate in a manner for which it was not designed. As a result, precision system analysis is essential to predict and continually update network operating status, estimate current power flows and bus voltages, determine stability limits, and minimize costs.

Computational Methods for Electric Power Systems is an introductory overview of computational methods used for analytical studies in power systems and other engineering and scientific fields. As power systems increasingly operate under stressed conditions, techniques such as computer simulation remain integral to control and security assessment. This volume analyzes the algorithms used in commercial analysis packages and presents salient examples of their implementation that are simple and thorough enough to be reproduced easily. Most of the examples were produced using MATLAB® language.

Presents General Theory Applicable to Different Systems
Commercial packages routinely fail or give erroneous results when used to simulate stressed systems, and understanding their underlying numerical algorithms is imperative to correctly interpret their results. This edition paints a broad picture of the methods used in such packages but omits extraneous detail. It includes new chapters that address function approximation and finite element analysis, in addition to new sections on:

- Generalized Minimal Residual (GMRES) methods

- Numerical differentiation

- Secant method

- Homotopy and continuation methods

- Power method for computing dominant eigenvalues

- Singular-value decomposition and pseudoinverses

- Matrix pencil method

This book will enable users to make better choices and improve their grasp of the situations in which methods may fail—instilling greater confidence in the use of commercial packages.

Zielgruppe

Undergraduate and graduate students in software development, power engineering, power electronics, circuits and devices, and VLSI.

Autoren/Hrsg.

Crow, Mariesa

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Bauelemente, Schaltkreise

Inhaltsverzeichnis

Introduction


The Solution of Linear Systems
Gaussian Elimination
LU Factorization
Condition Numbers and Error Propagation
Relaxation Methods
Conjugate Gradient Methods
Generalized Minimal Residual Algorithm (GMRES)


Systems of Nonlinear Equations
Fixed Point Iteration
Newton-Raphson Iteration
Continuation Methods
Secant Method
Numerical Differentiation
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


Optimization
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

Über Autor(innen)

Dr. Mariesa Crow is a professor of electrical engineering at Missouri University of Science and Technology in Rolla. She 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.