This book is intended to present bifurcation and continuation based computational
techniques for voltage stability assessment and control.
Chapters 1 and 2 provide background material for this book. Chapter 2 reviews
various aspects of bifurcation phenomena and includes numerical
techniques that can detect the bifurcation points. Chapter 3 discusses the
application of continuation methods to power system voltage stability and
provides extensive coverage on continuation power flow. Chapter 4 presents
general sensitivity techniques available in the literature that includes
margin sensitivity. Chapter 5 introduces voltage stability margin boundary
tracing. This chapter also discusses application of continuation power flow
for ATC. Chapter 6 finally presents time domain techniques that can capture
short as well as long term time scales involved in voltage stability.
Decoupled time domain simulation is introduced in this chapter. Basic
steps involved in various methods in each chapter are first demonstrated
through a two bus example for better understanding of these techniques.
I am grateful to Prof Pai, the series editor, who encouraged me and helped
me to write this book.
I would like to acknowledge the help from my previous and current graduate
students who helped me directly or indirectly in many ways to organize
this book. In general would like to thank Srinivasu Battula, Qin Wang,
Zheng Zhou, Gang Shen, Cheng Luo and Ashutosh Tiwari. In particular , I
would like to acknowledge contributions of Colin Christy (for chapter 3) ,
Byongjun Lee (for chapter2) , Bo Long (for chapters 2,3 and 4) , Yuan
Zhou (for chapters 3 and 5), Geng Wang (for chapter 5) and Dan Yang (for
chapter 6).
I would also like to acknowledge IEEE and Sadhana for some of the figures
and material I borrowed from my papers in these journals.
Finally I thank my wife Uma for her continued support and encouragement.