AC machine systems : mathematical model and parameters, analysis, and system performance

Title Page......Page 3
Copyright Page......Page 4
Abstract......Page 5
Preface......Page 6
Introduction......Page 8
Table of Contents......Page 12
1 Circuit Analysis of AC Machines—Multi-Loop Model and Parameters......Page 15
1.1 Electromagnetic Relations of AC Machine Loops......Page 16
1.1.1 Stator Loops......Page 17
1.1.3 Damper Loops......Page 18
1.2 Air-Gap Permeance Coefficient of Electric Machines......Page 20
1.3 Air-Gap Magnetic Field Produced by Single Coil and the Corresponding Inductance......Page 22
1.3.1 Air-Gap MMF Produced by Single Coil’s Current......Page 23
1.3.2 Air-Gap Magnetic Field Produced by Single Coil’s Current......Page 25
1.3.3 Self Inductance of Single Coil......Page 27
1.3.4 Mutual Inductance Between Coils......Page 30
1.4 Inductances of Stator Loops......Page 33
1.5.1 Inductance of Excitation Winding......Page 37
1.5.2 Inductance of Damper Winding......Page 38
1.5.3 Mutual Inductance Between Excitation Winding and Damping Loop......Page 44
1.6 Mutual Inductances Between Stator Loops and Rotor Loops......Page 46
1.7 Influence of Saturation on Parameters......Page 48
1.8.1 Inductance Produced by Rotor Leakage Magnetic Field......Page 51
1.8.2 Inductances Produced by Stator Leakage Magnetic Field......Page 52
1.9 Electromagnetic Torque and Rotor Motion Equation of AC Machines......Page 54
1.10 Analysis of Parameters and Performance of Single- Phase Induction Motors......Page 58
1.10.1 Inductances of Single Phase Induction Machine......Page 59
1.10.2 Basic Relations of Single Phase Induction Machine......Page 66
References......Page 70
2 Electromagnetic Relations and Parameters of Synchronous Machines and Analysis of Their Several Operating Conditions at Synchronous Speed......Page 72
2.1 Basic Relations of Synchronous Machines......Page 73
2.1.1 Inductances of Stator Phase Windings......Page 75
2.1.2 Inductances Between Stator and Rotor Windings......Page 82
2.1.3 3-Phase Synchronous Machine Inductances in Accordance with Fundamental Air-Gap Flux......Page 88
2.2.1 Flux-Linkages and Parameters of Stator Phase Windings......Page 92
2.2.2 Flux-linkages and Parameters of Rotor Windings......Page 101
2.2.3 Voltage Equations of Synchronous Machines......Page 102
2.3 Per-Unit Systems in Synchronous Machines......Page 103
2.3.1 Per-Unit System of Reversible Mutual Inductances......Page 104
2.3.2 Park’s Per-Unit System of Irreversible Mutual Inductances......Page 110
2.4.1 Basic Equations in Per-Unit of Synchronous Machines......Page 114
2.4.2  Equivalent Circuits and Operational Reactances of Synchronous Machines......Page 116
2.4.3 Output Power and Electromagnetic Torque in Synchronous Machines......Page 123
2.5.1 Original Steady-State Operation Condition......Page 125
2.5.2 Current Components Caused by 3-phase Sudden Short Circuit......Page 131
2.5.3 Currents after 3-phase Sudden Short Circuit of Synchronous Machines......Page 148
2.6 Voltage Dip during Sudden Increase of Load for Synchronous Machines......Page 156
2.7 Transient EMFs of Synchronous Machines......Page 161
2.8 Electromagnetic Torque after 3-Phase Sudden Short Circuit......Page 167
2.9 Suddenly Opening 3-phase Short Circuit of Synchronous Machines......Page 173
References......Page 179
3 Some Special Operation Modes of Synchronous Machine Systems at Constant Speed and Variable Speed......Page 180
3.1 Transformations of Reference Axes Systems and Their Formulas in Synchronous Machines......Page 182
3.2 2-Phases Sudden Short Circuit of Synchronous Machines......Page 194
3.3 Steady-state Asynchronous Operation of Synchronous Machines......Page 217
3.4 Asynchronously Starting of Synchronous Motors......Page 228
3.5 Analysis of Combination System for Synchronous Machine and Capacitances......Page 238
3.6 Mathematic Model and Performance Analysis of Cycloconverter-fed Synchronous Motor Systems with Field-Oriented Control......Page 249
3.6.1 Mathematical Patterns of the Cycloconverter-fed Synchronous Motor System......Page 250
3.6.2 Simulation and Performance Analysis of Cycloconverter-fed Synchronous Motor Systems......Page 256
3.6.3 Design of Damping Winding for Cycloconverter-fed Synchronous Motors with Field-oriented Control......Page 262
3.7 Analysis of Synchronous Generators with AC and DC Stator Connections......Page 263
3.7.1 Mathematical Model of AC-DC Generators and Loads......Page 265
3.7.2 System Equation of ac-dc generator......Page 267
3.7.3 Model of Rectifier Bridge......Page 270
3.7.4 Model of Automatic Voltage Regulator (AVR)......Page 272
3.7.5 Motion Equation of Rotor and Speed Regulators......Page 273
3.7.6 Simulation Procedure of AC-DC Generator System......Page 274
3.7.7 Verification of Simulation Program......Page 275
3.7.8 Simulation Research of Voltage Harmonics of AC-DC Generators......Page 277
References......Page 280
4 Oscillation, Stability and Excitation Regulation of Synchronous Machine Systems......Page 281
4.1 Small perturbation and Linearization of AC Machine Systems......Page 282
4.2 Steady-State Small Oscillation and Torque Coefficients of Synchronous Machine Systems......Page 284
4.3 Static Stability of Synchronous Machine Systems and Influence of Excitation Regulation on Static Stability......Page 315
4.3.1 Basic Relations of Synchronous Machine Systems for Analyzing Static Stability......Page 316
4.3.2 Approximate Analysis of Static Stability for Synchronous Machine Systems......Page 318
4.3.3 Influence of Excitation Regulation on Static Stability......Page 325
4.4 Dynamic Stability and Analysis Methods of Synchronous Machine Systems......Page 329
4.4.1 The Equations Corresponding to Analysis of Dynamic Stability for Synchronous Machine Systems......Page 330
4.4.2 Mathematical Patterns Corresponding to Analysis of Dynamic Stability for Synchronous Machine Systems......Page 339
4.4.3 Calculation Example of Dynamic Stability for Synchronous Machine Systems......Page 340
References......Page 352
5 Electromagnetic Relations of Induction Machine Systems and Analyses of Some Operating Modes......Page 353
5.1 Basic Relations and Parameters of Induction Machines......Page 354
5.1.1 Wound-Rotor Induction Machines......Page 355
5.1.2 Squirrel-cage Rotor Induction Machines......Page 361
5.2 Basic Relations and Parameters of Induction Machines in d, q, 0 Axes......Page 368
5.3 Analysis of the Starting Process of Induction Motors......Page 377
5.3.1 Basic Equations for the Analysis of Starting Process......Page 378
5.3.2 Numerical Calculation of Starting Characteristics......Page 379
5.3.3 Comparison and Analysis of Calculation Results in Two Ways......Page 380
5.4 Transients of Reswitching on Induction Motors......Page 385
5.4.1 Transients of Induction Motors after Disconnection......Page 386
5.4.2 Transients of Induction Motors after Reclosing......Page 395
5.4.3 Transients of Induction Motors after Flux-extinguishing Resistors are Connected in Stator Circuit......Page 398
5.5.1 Basic Equations of Induction Machines when Counting the Inertia Effect in......Page 400
5.5.2 Basic Relations of Induction Machines in Steady-state......Page 404
5.5.3 Small Perturbation Equations of Induction Machines......Page 407
5.5.4 Determination of Self-excitation Region for Induction Machines when Counting the Inertia Effect in......Page 409
5.5.5 Effect of Inertia Constant on Self-excitation Region......Page 411
5.6.1 Construction of New Induction Generator......Page 416
5.6.2 MMF of Multi-Phase Induction Generator......Page 417
5.6.3 Circuit Method for the System of Power Winding with Rectifier Load......Page 419
5.6.4 Field Method for the System of Dual-Winding-Stator and Solid Cage Rotor......Page 422
References......Page 425
6 Internal Asymmetric Analysis of AC Machines......Page 426
6.1 Analysis of Rotor Winding Failures of Squirrel Cage 3-Phase Induction Machines......Page 429
6.1.1 Basic Equations of Squirrel Cage Three Phase Induction Machine......Page 430
6.1.2 Calculation of Loop Inductances of Squirrel Cage Three Phase Induction Machine......Page 431
6.1.3 Amending Basic Equations Based on Rotor Failure Condition......Page 433
6.1.4 Calculation of Steady State Loop Currents......Page 435
6.2 Internal Fault Analysis of Stator Winding of Salient Pole Synchronous Machines......Page 445
6.2.1 Mathematic Model of Stator Winding Internal Fault of Salient Pole Synchronous Machine......Page 446
6.2.2 Loop Parameters of Stator Winding Internal Faults of Synchronous Machine......Page 454
6.2.3 Calculation of Steady State for Internal Fault of Salient Pole Synchronous Machine......Page 455
6.2.4 Calculation of Transients for Internal Fault of Salient Pole Synchronous Machine......Page 457
6.2.5 Features of Internal Faults of Salient Pole Synchronous Machine......Page 459
6.3  Internal Fault Analysis of Stator Winding of Non-Salient Pole Synchronous Machines......Page 461
6.3.1 Mathematic Model of Stator Winding Internal Fault of Non-salient Pole Synchronous Machine......Page 462
6.3.2 Calculation and Experiments of Internal Faults of Non-salient Pole Synchronous Machine......Page 464
References......Page 468
Appendix A Air-Gap Permeance Coefficients in Consideration of Slot Effect......Page 469
Appendix B Expressions of Effective Air-Gap......Page 472
Appendix C Inductances Due to Leakage Flux of Stator Winding End......Page 475
Appendix D Heaviside’s Operational Calculus and Its Application to Transients Analysis......Page 488
Appendix E Basic Relations and Equivalent Circuits of Transformers......Page 494
Index......Page 498