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Power System Dynamics and Control

:	Harry G. Kwatny, Karen Miu-Miller
:	Power System Dynamics and Control
:	Birkhäuser Basel
:	9780817646745
:	1
:	CHF 95.50
:

:	Sonstiges
:	English

:	274
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

Whereas power systems have traditionally been designed with a focus on protecting them from routine component failures and atypical user demand, we now also confront the fact that deliberate attack intended to cause maximum disruption is a real possibility. In response to this changing environment, new concepts and tools have emerged that address many of the issues facing power system operation today. This book is aimed at introducing these ideas to practicing power systems engineers, control systems engineers interested in power systems, and graduate students in these areas.

The ideas are examined with an emphasis on how they can be applied to improve our understanding of power system behavior and help design better control systems. The book is supplemented by a Mathematica package enabling readers to work out nontrivial examples and problems. Also included is a set of Mathematica tutorial notebooks providing detailed solutions of the worked examples in the text. In addition to Mathematica, simulations are carried out using Simulink with Stateflow.

	Preface	7
	Contents	9
	1 Introduction	12
	1.1 Goals and Motivation	12
	1.2 Content	13
	2 Basics of Electricity and Magnetism	15
	2.1 Introduction	15
	2.2 The Electric Field	15
	2.3 The Magnetic Field	17
	2.4 Maxwell's Equations	19
	3 Electric Circuits and Devices	26
	3.1 Introduction	26
	3.2 Circuits and Circuit Elements	26
	3.3 Network Modeling	30
	3.4 The Incidence Matrix and Tellegen's Theorem	35
	3.5 Generalized Lagrange Equations	37
	3.5.1 Introduction	37
	3.5.2 State Variables	40
	3.5.3 Other Forms of Lagrange Equations	45
	3.5.4 Excess Elements	59
	3.6 Coupled Circuits and Electromechanical Devices	60
	4 AC Power Systems	71
	4.1 Introduction	71
	4.2 Basics Concepts of AC Networks	72
	4.2.1 Impedance Models of Linear Networks	72
	4.2.2 Active and Reactive Power	74
	4.2.3 Multi-port Networks	77
	4.2.4 Single-Phase Machines	83
	4.2.5 Transmission Lines and Transformers	87
	4.3 Three-Phase AC Systems	92
	4.3.1 Principles of Three-Phase Transmission	92
	4.3.2 Three-Phase Synchronous Machines	93
	4.4 Balanced Three-Phase AC Power Networks	100
	4.4.1 Synchronous Generator in Steady State	101
	4.4.2 Synchronous Machine Simplified Dynamic Model	102
	4.4.3 Power Flow Equations	108
	5 Power System Dynamics: Foundations	114
	5.1 Introduction	114
	5.2 Preliminaries	114
	5.3 Ordinary Differential Equations	117
	5.3.1 Existence and Uniqueness	117
	5.3.2 Invariant Sets	122
	5.4 Lyapunov Stability	123
	5.4.1 Autonomous Systems	123
	5.4.2 Basic Stability Theorems	125
	5.4.3 First Integrals and Chetaev's Method	135
	5.4.4 Remarks on Noether's Theorem	137
	5.4.5 Stable, Unstable, and Center Manifolds	138
	5.5 Analysis of Power System Stability	142
	5.5.1 Properties of Classical Power System Models	143
	5.5.2 Systems with Transfer Conductances	151
	6 Power System Dynamics: Bifurcation Behavior	161
	6.1 Introduction	161
	6.2 Systems Described by Differential-Algebraic Equations	161
	6.3 Basic Properties of DAEs	162
	6.4 Singularities and Bifurcations of DAEs	163
	6.5 Bifurcation of Flows Near Equilibria	166
	6.5.1 Equivalence of Flows and Structural Stability	166
	6.5.2 Bifurcation Points	167
	6.5.3 Genericity	168
	6.5.4 Normal Forms	169
	6.5.5 Deformations and Unfoldings	171
	6.5.6 Deformations and Unfoldings in Other Contexts	172
	6.6 Numerical Computation	174
	6.6.1 Static Bifurcation Points	174
	6.6.2 Hopf Bifurcation	181
	6.7 Applications	187
	7 Elements of Power Systems Control	196
	7.1 Introduction	196
	7.2 Primary Voltage Control	196
	7.2.1 Excitation Systems	197
	7.3 Load Frequency Control	202
	7.4 Automatic Generation Control (AGC)	207
	7.4.1 Elements of the Classical AGC Problem	209
	7.4.2 AGC Control Strategies	211
	7.4.3 Coordination of Economic Dispatch and AGC	219
	8 Power System Management	224
	8.1 Introduction	224
	8.2 Problem Definition	226
	8.2.1 Modeling	226
	8.2.2 The Control Problem	228
	8.3 Logical Specification to IP Formulas	229
	8.3.1 Logical Modeling Language	229
	8.3.2 Transformation to IP Formulas	230
	8.3.3 Implementation	230
	8.4 Constructing the Optimal Solution	231
	8.5 Example: Load Shedding	233
	8.5.1 Network and Load Dynamics	233
	8.5.2 System Operation	234
	8.5.3 The Optimal Control Problem Without OLTC, n=1	236
	8.5.4 Incorporating Time Delays	238
	8.6 Induction Motor Load with UPS	239
	8.6.1 Dynamics	240
	8.6.2 IP Formulas for UPS System	243
	8.6.3 Optimal Control	243
	8.7 Ship Integrated Electric Power System	245
	8.7.1 The Fuel Consumption Model	247
	8.7.2 Optimal Response to Contingencies	248
	8.7.3 Example	252
	Appendix AShip Hybrid Electric Propulsion System	255
	Appendix BComputational Tools	259
	References	263
	Index	272