139544_Wang_FM	2
	Preface	5
	Contents	5
	139544_Wang_CH01	12
	Chapter 1: Mathematical Model and Solution of Electric Network	12
	1.1 Introduction	12
	1.2 Basic Concepts	13
	1.2.1 Node Equation and Loop Equation	13
	1.2.2 Equivalent Circuit of Transformer and Phase-Shift Transformer	20
	1.3 Nodal Admittance Matrix	24
	1.3.1 Basic Concept of Nodal Admittance Matrix	24
	1.3.2 Formulation and Modification of Nodal Admittance Matrix	28
	1.4 Solution to Electric Network Equations	33
	1.4.1 Gauss Elimination Method	33
	1.4.2 Triangular Decomposition and Factor Table	38
	1.4.3 Sparse Techniques	45
	1.4.4 Sparse Vector Method	49
	1.4.5 Optimal Ordering Schemes of Electric Network Nodes	54
	1.5 Nodal Impedance Matrix	59
	1.5.1 Basic Concept of Nodal Impedance Matrix	59
	1.5.2 Forming Nodal Impedance Matrix by Using Nodal Admittance Matrix	61
	1.5.3 Forming Nodal Impedance Matrix by Branch Addition Method	67
	Thinking and Problem Solving	80
	139544_Wang_CH02	82
	Chapter 2: Load Flow Analysis	82
	2.1 Introduction	82
	2.2 Formulation of Load Flow Problem	84
	2.2.1 Classification of Node Types	84
	2.2.2 Node Power Equations	87
	2.3 Load Flow Solution by Newton Method	89
	2.3.1 Basic Concept of Newton Method	89
	2.3.2 Correction Equations	94
	2.3.3 Solution Process of Newton Method	99
	2.3.4 Solution of Correction Equations	100
	2.4 Fast Decoupled Method	112
	2.4.1 Introduction to Fast Decoupled Method	112
	2.4.2 Correction Equations of Fast Decoupled Method	115
	2.4.3 Flowchart of Fast Decoupled Method	118
	2.5 Static Security Analysis and Compensation Method	124
	2.5.1 Survey of Static Security Analysis	124
	2.5.2 Compensation Method	125
	2.6 DC Load Flow Method	130
	2.6.1 Model of DC Load Flow	131
	2.6.2 Outage Analysis by DC Load Flow Method	133
	2.6.3 N-1 Checking and Contingency Ranking Method	134
	Thinking and Problem Solving	138
	139544_Wang_CH03	140
	Chapter 3: Stochastic Security Analysis of Electrical Power Systems	140
	3.1 Introduction	140
	3.2 Basic Concepts of Probability Theory	141
	3.2.1 Probability of Stochastic Events	141
	3.2.2 Random Variable and its Distribution	143
	3.2.3 Numeral Characteristics of Random Variable	144
	3.2.4 Convolution of Random Variable	146
	3.2.5 Several Usual Random Variable Distributions	147
	3.2.6 Markov Process	149
	3.3 Probabilistic Model of Power Systems	151
	3.3.1 Probabilistic Model of Load	151
	3.3.2 Probabilistic Models of Power System Components	152
	3.3.3 Outage Table of Power System Components	153
	3.4 Monte Carlo Simulation Method	156
	3.4.1 Fundamental Theory of Monte Carlo Simulation Method	156
	3.4.2 Sampling of System Operation State	159
	3.4.3 State Evaluation Model	161
	3.4.4 Indices of Reliability Evaluation	162
	3.4.5 Flowchart of Composite System Adequacy Evaluation	163
	3.4.6 Markov Chain Monte Carlo (MCMC) Simulation Method	167
	3.5 Probabilistic Load Flow Analysis	172
	3.5.1 Cumulants of Random Distribution	173
	3.5.2 Linearization of Load Flow Equation	179
	3.5.3 Computing Process of Probabilistic Load Flow	182
	3.6 Probabilistic Network-Flow Analysis	189
	3.6.1 Introduction	189
	3.6.2 Network-Flow Model	191
	3.6.3 Lower Boundary Points of Feasible Flow Solutions	197
	3.6.4 Reliability of Transmission System	199
	Thinking and Problem Solving	202
	139544_Wang_CH04	204
	Chapter 4: Power Flow Analysis in Market Environment	204
	4.1 Introduction	204
	4.1.1 Transmission Owner	204
	4.1.2 Independent Operator	205
	4.1.3 Power Exchange	205
	4.1.4 Ancillary Service	206
	4.1.5 Scheduling Coordinator	206
	4.2 Optimal Power Flow	207
	4.2.1 General Formulation of OPF Problem	207
	4.2.2 Approaches to OPF	209
	4.2.3 Interior Point Method for OPF Problem	213
	4.3 Application of OPF in Electricity Market	228
	4.3.1 Survey	228
	4.3.2 Congestion Management Method Based on OPF	234
	4.4 Power Flow Tracing	239
	4.4.1 Current Decomposition Axioms	241
	4.4.2 Mathematical Model of Loss Allocation	243
	4.4.3 Usage Sharing Problem of Transmission Facilities	245
	4.4.4 Methodology of Graph Theory	249
	4.5 Available Transfer Capability of Transmission System	252
	4.5.1 Introduction to Available Transfer Capability	252
	4.5.2 Application of Monte Carlo Simulation in ATC Calculation	256
	4.5.3 ATC Calculation with Sensitivity Analysis Method	257
	Thinking and Problem Solving	265
	139544_Wang_CH05	266
	Chapter 5: HVDC and FACTS	266
	5.1 Introduction	266
	5.2 HVDC Basic Principles and Mathematical Models	269
	5.2.1 HVDC Basic Principles	269
	5.2.2 Converter Basic Equations Neglecting Lc	272
	5.2.3 Converter Basic Equations Considering Lc	278
	5.2.4 Converter Equivalent Circuits	284
	5.2.5 Multiple Bridge Operation	287
	5.2.6 Converter Control	290
	5.3 Power Flow Calculation of AC/DC Interconnected Systems	292
	5.3.1 Converter Basic Equations in the per Unit System	293
	5.3.2 Power Flow Equations	294
	5.3.3 Jacobian Matrix of Power Flow Equations	297
	5.3.4 Integrated Iteration Formula of AC/DC Interconnected Systems	300
	5.3.5 Alternating Iteration for AC/DC Interconnected Systems	305
	5.4 HVDC Dynamic Mathematical Models	310
	5.5 Basic Principles and Mathematical Models of FACTS	312
	5.5.1 Basic Principle and Mathematical Model of SVC	313
	5.5.2 Basic Principle and Mathematical Model of STATCOM	319
	5.5.3 Basic Principle and Mathematical Model of TCSC	324
	5.5.4 Basic Principle and Mathematical Model of SSSC	330
	5.5.5 Basic Principle and Mathematical Model of TCPST	333
	5.5.6 Basic Principle and Mathematical Model of UPFC	336
	Thinking and Problem Solving	342
	139544_Wang_CH06	344
	Chapter 6: Mathematical Model of Synchronous Generator and Load	344
	6.1 Introduction	344
	6.2 Mathematical Model of Synchronous Generator	346
	6.2.1 Basic Mathematical Equations of Synchronous Generator	347
	6.2.2 Mathematical Equations of Synchronous Generator Using Machine Parameters	354
	6.2.3 Simplified Mathematical Model of Synchronous Generator	362
	6.2.4 Steady-State Equations and Phasor Diagram	365
	6.2.5 Mathematical Equations Considering Effect of Saturation•	368
	6.2.6 Rotor Motion Equation of Synchronous Generator	371
	6.3 Mathematical Model of Generator Excitation Systems	374
	6.3.1 Mathematical Model of Exciter	376
	6.3.2 Voltage Measurement and Load Compensation Unit	386
	6.3.3 Limiters	387
	6.3.4 Mathematical Model of Power System Stabilizer	388
	6.3.5 Mathematical Model of Excitation Systems	388
	6.4 Mathematical Model of Prime Mover and Governing System	392
	6.4.1 Mathematical Model of Hydroturbine and Governing System	393
	6.4.2 Mathematical Model of Steam Turbine and Governing System	400
	6.5 Mathematical Model of Load	404
	6.5.1 Static Load Model	406
	6.5.2 Dynamic Load Model	408
	Thinking and Problem Solving	414
	139544_Wang_CH07	416
	Chapter 7: Power System Transient Stability Analysis	416
	7.1 Introduction	416
	7.2 Numerical Methods for Transient Stability Analysis	418
	7.2.1 Numerical Methods for Ordinary Differential Equations	419
	7.2.2 Numerical Methods for Differential-Algebraic Equations	436
	7.2.3 General Procedure for Transient Stability Analysis	438
	7.3 Network Mathematical Model for Transient Stability Analysis	441
	7.3.1 The Relationship Between Network and Dynamic Devices	442
	7.3.2 Modeling Network Switching and Faults	450
	7.4 Transient Stability Analysis with Simplified Model	457
	7.4.1 Computing Initial Values	458
	7.4.2 Solving Network Equations with Gauss Elimination Method	459
	7.4.3 Solving Differential Equations by Modified Euler´s Method	461
	7.4.4 Numerical Integration Methods for Transient Stability Analysis Under Classical Model	468
	7.5 Transient Stability Analysis with FACTS Devices	474
	7.5.1 Initial Values and Difference Equations of Generators	475
	7.5.2 Initial Values and Difference Equations of FACTS and HVDC	486
	7.5.3 Forming Network Equations	495
	7.5.4 Simultaneous Solution of Difference and Network Equations	498
	Thinking and Problem Solving	499
	139544_Wang_CH08	500
	Chapter 8: Small-Signal Stability Analysis of Power Systems	500
	8.1 Introduction	500
	8.2 Linearized Equations of Power System Dynamic Components	504
	8.2.1 Linearized Equation of Synchronous Generator	504
	8.2.2 Linearized Equation of Load	511
	8.2.3 Linearized Equation of FACTS Components	513
	8.2.4 Linearized Equation of HVDC Transmission System	514
	8.3 Steps in Small-Signal Stability Analysis	517
	8.3.1 Network Equation	517
	8.3.2 Linearized Differential Equations of Whole Power System	519
	8.3.3 Program Package for Small-Signal Stability Analysis	521
	8.4 Eigenvalue Problem in Small-Signal Stability Analysis	530
	8.4.1 Characteristics of State Matrix Given by Its Eigensolution	530
	8.4.2 Modal Analysis of Linear Systems	534
	8.4.3 Computation of Eigenvalues	537
	8.4.4 Eigensolution of Sparse Matrix	541
	8.4.5 Application of Eigenvalue Sensitivity Analysis	544
	8.5 Oscillation Analysis of Power Systems	545
	HeadingsSec31_8	545
	139544_Wang_Ref	554
	References	554
	139544_Wang_Index	565
	: Index	565