Preface |
|
xiii | |
About the Companion Website |
|
xv | |
1 Introduction |
|
1 | (6) |
|
|
1 | (1) |
|
|
2 | (1) |
|
1.3 Time-Scale Structures |
|
|
3 | (1) |
|
|
4 | (1) |
|
1.5 The Phenomena of Interest |
|
|
5 | (1) |
|
1.6 New Chapters Added to this Edition |
|
|
5 | (2) |
2 Electromagnetic Transients |
|
7 | (12) |
|
2.1 The Fastest Transients |
|
|
7 | (1) |
|
2.2 Transmission Line Models |
|
|
7 | (5) |
|
|
12 | (5) |
|
|
17 | (2) |
3 Synchronous Machine Modeling |
|
19 | (34) |
|
3.1 Conventions and Notation |
|
|
19 | (1) |
|
3.2 Three-Damper-Winding Model |
|
|
20 | (1) |
|
3.3 Transformations and Scaling |
|
|
21 | (8) |
|
3.4 The Linear Magnetic Circuit |
|
|
29 | (6) |
|
3.5 The Nonlinear Magnetic Circuit |
|
|
35 | (5) |
|
3.6 Single-Machine Steady State |
|
|
40 | (4) |
|
3.7 Operational Impedances and Test Data |
|
|
44 | (5) |
|
|
49 | (4) |
4 Synchronous Machine Control Models |
|
53 | (18) |
|
4.1 Voltage and Speed Control Overview |
|
|
53 | (1) |
|
|
53 | (5) |
|
4.3 Voltage Regulator Models |
|
|
58 | (4) |
|
|
62 | (5) |
|
|
62 | (2) |
|
|
64 | (3) |
|
4.5 Speed Governor Models |
|
|
67 | (3) |
|
|
70 | (1) |
5 Single-Machine Dynamic Models |
|
71 | (30) |
|
|
71 | (3) |
|
5.2 The Multi-Time-Scale Model |
|
|
74 | (2) |
|
5.3 Elimination of Stator/Network Transients |
|
|
76 | (5) |
|
|
81 | (2) |
|
5.5 The One-Axis (Flux-Decay) Model |
|
|
83 | (1) |
|
|
84 | (2) |
|
|
86 | (4) |
|
5.8 Single-Machine Infinite-Bus System |
|
|
90 | (4) |
|
5.9 Synchronous Machine Saturation |
|
|
94 | (6) |
|
|
100 | (1) |
6 Multimachine Dynamic Models |
|
101 | (34) |
|
6.1 The Synchronously Rotating Reference Frame |
|
|
101 | (2) |
|
6.2 Network and R-L Load Constraints |
|
|
103 | (2) |
|
6.3 Elimination of Stator/Network Transients |
|
|
105 | (8) |
|
6.3.1 Generalization of Network and Load Dynamic Models |
|
|
110 | (2) |
|
6.3.2 The Special Case of "Impedance Loads" |
|
|
112 | (1) |
|
6.4 Multimachine Two-Axis Model |
|
|
113 | (3) |
|
6.4.1 The Special Case of "Impedance Loads" |
|
|
115 | (1) |
|
6.5 Multimachine Flux-Decay Model |
|
|
116 | (2) |
|
6.5.1 The Special Case of "Impedance Loads" |
|
|
117 | (1) |
|
6.6 Multimachine Classical Model |
|
|
118 | (2) |
|
6.6.1 The Special Case of "Impedance Loads" |
|
|
119 | (1) |
|
6.7 Multimachine Damping Torques |
|
|
120 | (1) |
|
6.8 Multimachine Models with Saturation |
|
|
121 | (5) |
|
6.8.1 The Multimachine Two-Axis Model with Synchronous Machine Saturation |
|
|
123 | (1) |
|
6.8.2 The Multimachine Flux-Decay Model with Synchronous Machine Saturation |
|
|
124 | (2) |
|
6.9 Frequency During Transients |
|
|
126 | (1) |
|
6.10 Angle References and an Infinite Bus |
|
|
127 | (2) |
|
6.11 Automatic Generation Control (AGC) |
|
|
129 | (6) |
7 Multimachine Simulation |
|
135 | (48) |
|
7.1 Differential-Algebraic Model |
|
|
135 | (3) |
|
|
136 | (1) |
|
|
137 | (1) |
|
7.2 Stator Algebraic Equations |
|
|
138 | (2) |
|
|
138 | (1) |
|
|
138 | (1) |
|
7.2.3 Alternate Form of Stator Algebraic Equations |
|
|
139 | (1) |
|
|
140 | (9) |
|
|
140 | (1) |
|
7.3.2 Real Power Equations |
|
|
141 | (1) |
|
7.3.3 Reactive Power Equations |
|
|
141 | (1) |
|
7.3.4 Current-Balance Form |
|
|
142 | (7) |
|
|
149 | (4) |
|
7.5 Simplification of the Two-Axis Model |
|
|
153 | (5) |
|
7.5.1 Simplification #1 (Neglecting Transient Saliency in the Synchronous Machine) |
|
|
153 | (1) |
|
7.5.2 Simplification #2 (Constant Impedance Load in the Transmission System) |
|
|
154 | (4) |
|
7.6 Initial Conditions (Full Model) |
|
|
158 | (7) |
|
7.6.1 Load-Flow Formulation |
|
|
158 | (1) |
|
|
159 | (1) |
|
7.6.3 Initial Conditions for Dynamic Analysis |
|
|
160 | (5) |
|
7.6.4 Angle Reference, Infinite Bus, and COI Reference |
|
|
165 | (1) |
|
7.7 Numerical Solution: Power-Balance Form |
|
|
165 | (3) |
|
|
165 | (1) |
|
7.7.2 Review of Newton's Method |
|
|
165 | (1) |
|
7.7.3 Numerical Solution Using SI Method |
|
|
166 | (1) |
|
7.7.4 Disturbance Simulation |
|
|
167 | (1) |
|
|
168 | (1) |
|
7.8 Numerical Solution: Current-Balance Form |
|
|
168 | (3) |
|
7.8.1 Some Practical Details |
|
|
170 | (1) |
|
|
171 | (1) |
|
7.9 Reduced-Order Multimachine Models |
|
|
171 | (8) |
|
|
171 | (1) |
|
7.9.2 Generator Equations |
|
|
172 | (1) |
|
|
172 | (1) |
|
|
172 | (1) |
|
|
172 | (1) |
|
7.9.6 Structure-Preserving Classical Model |
|
|
173 | (4) |
|
7.9.7 Internal-Node Model |
|
|
177 | (2) |
|
|
179 | (1) |
|
|
180 | (1) |
|
|
180 | (3) |
8 Small-Signal Stability |
|
183 | (50) |
|
|
183 | (1) |
|
8.2 Basic Linearization Technique |
|
|
184 | (10) |
|
8.2.1 Linearization of Model A |
|
|
185 | (1) |
|
8.2.2 Differential Equations |
|
|
185 | (1) |
|
8.2.3 Stator Algebraic Equations |
|
|
186 | (1) |
|
|
186 | (7) |
|
8.2.5 Linearization of Model B |
|
|
193 | (1) |
|
8.2.6 Differential Equations |
|
|
194 | (1) |
|
8.2.7 Stator Algebraic Equations |
|
|
194 | (1) |
|
|
194 | (1) |
|
8.3 Participation Factors |
|
|
194 | (4) |
|
8.4 Studies on Parametric Effects |
|
|
198 | (7) |
|
|
198 | (2) |
|
|
200 | (1) |
|
8.4.3 Effect of Type of Load |
|
|
201 | (2) |
|
|
203 | (2) |
|
8.5 Electromechanical Oscillatory Modes |
|
|
205 | (4) |
|
8.5.1 Eigenvalues of A and Aomega |
|
|
207 | (2) |
|
8.6 Power System Stabilizers |
|
|
209 | (18) |
|
|
209 | (1) |
|
8.6.2 Derivation of K1 - K6 Constants |
|
|
209 | (2) |
|
|
211 | (4) |
|
8.6.4 Synchronizing and Damping Torques |
|
|
215 | (1) |
|
8.6.5 Damping of Electromechanical Modes |
|
|
215 | (4) |
|
|
219 | (2) |
|
8.6.7 Synchronizing Torque |
|
|
221 | (1) |
|
|
221 | (1) |
|
8.6.9 Power System Stabilizer Design |
|
|
221 | (1) |
|
8.6.10 Frequency-Domain Approach |
|
|
222 | (1) |
|
8.6.11 Design Procedure Using the Frequency-Domain Method |
|
|
223 | (4) |
|
|
227 | (1) |
|
|
227 | (6) |
9 Energy Function Methods |
|
233 | (30) |
|
|
233 | (1) |
|
9.2 Physical and Mathematical Aspects of the Problem |
|
|
233 | (3) |
|
|
236 | (1) |
|
|
237 | (1) |
|
9.5 Energy Function Formulation |
|
|
238 | (3) |
|
9.6 Potential Energy Boundary Surface (PEBS) |
|
|
241 | (13) |
|
9.6.1 Single-Machine Infinite-Bus System |
|
|
241 | (3) |
|
9.6.2 Energy Function for a Single-Machine Infinite-Bus System |
|
|
244 | (3) |
|
9.6.3 Equal-Area Criterion and the Energy Function |
|
|
247 | (2) |
|
|
249 | (3) |
|
9.6.5 Initialization of VpE(theta) and its Use in PEBS Method |
|
|
252 | (2) |
|
9.7 The Boundary Controlling u.e.p (BCU) Method |
|
|
254 | (5) |
|
|
256 | (3) |
|
9.8 Structure-Preserving Energy Functions |
|
|
259 | (1) |
|
|
260 | (1) |
|
|
260 | (3) |
10 Synchronized Phasor Measurement |
|
263 | (42) |
|
|
263 | (1) |
|
|
264 | (12) |
|
10.2.1 Nominal Frequency Phasors |
|
|
264 | (1) |
|
10.2.2 Off-Nominal Frequency Phasors |
|
|
265 | (4) |
|
|
269 | (2) |
|
10.2.4 Positive-Sequence Signals |
|
|
271 | (1) |
|
10.2.5 Frequency Estimation |
|
|
272 | (2) |
|
10.2.6 Phasor Data Accuracy |
|
|
274 | (1) |
|
|
275 | (1) |
|
10.3 Phasor Data Communication |
|
|
276 | (1) |
|
10.4 Power System Frequency Response |
|
|
277 | (3) |
|
10.5 Power System Disturbance Propagation |
|
|
280 | (5) |
|
10.5.1 Disturbance Triggering |
|
|
285 | (1) |
|
10.6 Power System Disturbance Signatures |
|
|
285 | (4) |
|
10.6.1 Generator or Load Trip |
|
|
286 | (1) |
|
|
287 | (1) |
|
10.6.3 Fault and Line Switching |
|
|
288 | (1) |
|
10.6.4 Shunt Capacitor or Reactor Switching |
|
|
289 | (1) |
|
|
289 | (1) |
|
10.7 Phasor State Estimation |
|
|
289 | (4) |
|
10.8 Modal Analyses of Oscillations |
|
|
293 | (3) |
|
10.9 Energy Function Analysis |
|
|
296 | (3) |
|
10.10 Control Design Using PMU Data |
|
|
299 | (2) |
|
10.11 Conclusions and Remarks |
|
|
301 | (1) |
|
|
302 | (3) |
11 Power System Toolbox |
|
305 | (22) |
|
|
305 | (1) |
|
11.2 Power Flow Computation |
|
|
306 | (5) |
|
|
306 | (2) |
|
11.2.2 Power Flow Formulation and Solution |
|
|
308 | (3) |
|
11.2.3 Nonconvergent Power Flow |
|
|
311 | (1) |
|
|
311 | (10) |
|
11.3.1 Dynamic Models and Per-Unit Parameter Values |
|
|
312 | (1) |
|
|
313 | (1) |
|
|
314 | (2) |
|
11.3.4 Integration Methods |
|
|
316 | (1) |
|
11.3.5 Disturbance Specifications |
|
|
317 | (4) |
|
|
321 | (3) |
|
11.5 Conclusions and Remarks |
|
|
324 | (1) |
|
|
324 | (3) |
A Integral Manifolds for Model Reduction |
|
327 | (14) |
|
A.1 Manifolds and Integral Manifolds |
|
|
327 | (1) |
|
A.2 Integral Manifolds for Linear Systems |
|
|
328 | (8) |
|
A.3 Integral Manifolds for Nonlinear Systems |
|
|
336 | (5) |
Bibliography |
|
341 | (12) |
Index |
|
353 | |