Chiang H.-D. Direct Methods for Stability Analysis of Electric Power Systems Theoretical Foundation, BCU Methodologies, and Applications

Wiley, 2011, 494 pages, ISBN: 978-0-470-87212-3The main purpose of this book is to present a comprehensive theoretical foundation for the direct methods and to develop comprehensive BCU solution methodologies along with their theoretical foundations. In addition, a comprehensive energy function theory, which is an extension of the Lyapunov function theory, is presented along with general procedures for constructing numerical energy functions for general power system transient stability models. It is believed that solving challenging practical problems effi ciently can be accomplished through a thorough understanding of the underlying theory, in conjunction with exploring the special features of the practical problem under study to develop effective solution methodologies.There are 25 chapters contained in this book.Introduction and Overview
System Modeling and Stability Problems
Lyapunov Stability and Stability Regions of Nonlinear Dynamical Systems
Quasi-Stability Regions: Analysis and Characterization
Energy Function Theory and Direct Methods
Constructing Analytical Energy Functions for Transient Stability Models
Construction of Numerical Energy Functions for Lossy Transient Stability Models
Direct Methods for Stability Analysis: An Introduction
Foundation of the Closest UEP Method
Foundations of the Potential Energy Boundary Surface Method
Controlling UEP Method: Theory
Controlling UEP Method: Computations
Foundations of Controlling UEP Methods for Network-Preserving Transient Stability Models
Network-Reduction BCU Method and Its Theoretical Foundation
Numerical Network-Reduction BCU Method
Network-Preserving BCU Method and Its Theoretical Foundation
Numerical Network-Preserving BCU Method
Numerical Studies of BCU Methods from Stability Boundary Perspectives
Study of the Transversality Conditions of the BCU Method
The BCU–Exit Point Method
Group Properties of Contingencies in Power Systems
Group-Based BCU–Exit Method
Group-Based BCU–CUEP Methods
Group-Based BCU Method
Perspectives and Future Directions