Description

Book Synopsis

A unique combination of theoretical knowledge and practical analysis experience

Derived from Yoshihide Hase?s Handbook of Power Systems Engineering, 2nd Edition, this book provides readers with everything they need to know about power system dynamics. Presented in three parts, it covers power system theories, computation theories, and how prevailed engineering platforms can be utilized for various engineering works. It features many illustrations based on ETAP to help explain the knowledge within as much as possible.

Recompiling all the chapters from the previous book, Power System Dynamics with Computer Based Modeling and Analysis offers nineteen new and improved content with updated information and all new topics, including two new chapters on circuit analysis which help engineers with non-electrical engineering backgrounds. Topics covered include: Essentials of Electromagnetism; Complex Number Notation (Symbolic Method) and Laplace-tr

Table of Contents

About the Authors xxix

Preface xxxi

Acknowledgments xxxiii

Part A Power Systems Theories and Practices 1

1 Essentials of Electromagnetism 3

1.1 Overview 3

1.2 Voltage, Current, Electric Power, and Resistance 3

1.3 Electromagnetic Induction (Faraday’s Law) 4

1.4 Self Inductance and Mutual Inductance 6

1.5 Mutual Capacitance 7

2 Complex Number Notation (Symbolic Method) and the Laplace Transform 11

2.1 Euler’s Formula 11

2.2 Complex Number Notation of Electricity Based on Euler’s Formula 12

2.3 LR Circuit Transient Calculation Using Complex Number Notation and the Laplace Transform 14

2.4 LCR Circuit Transient Calculation 16

2.5 Resistive, Inductive, and Capacitive Load, and Phasor Expressions 21

3 Transmission Line Matrices and Symmetrical Components 25

3.1 Overhead Transmission Lines with Inductive LR Constants 25

3.2 Overhead Transmission Lines with Capacitive C Constants 30

3.3 Symmetrical Coordinate Method (Symmetrical Components) 32

3.4 Conversion of a Three-Phase Circuit into a Symmetrical Coordinated Circuit 39

3.5 Transmission Lines by Symmetrical Components 39

3.6 Generator by Symmetrical Components (Simplified Description) 47

3.7 Description of a Three-Phase Load Circuit by Symmetrical Components 49

4 Physics of Transmission Lines and Line Constants 51

4.1 Inductance 51

4.2 Capacitance and Leakage Current 59

4.3 Actual Configuration of Overhead Transmission Lines 66

4.4 Special Properties of Working Inductance and Working Capacitance 68

4.5 MKS Rational Unit System 71

5 The Per-Unit Method 77

5.1 Fundamental Concepts of the PU Method 77

5.2 PU Method for a Single-Phase Circuit 77

5.3 PU Method for Three-Phase Circuits 79

5.4 Base Quantity Modification of Unitized Impedance 80

5.5 Unitized Symmetrical Circuit: Numerical Example 81

6 Transformer Modeling 91

6.1 Single-Phase Three-Winding Transformer 91

6.2 − − Δ-Connected Three-Phase, Three-Winding Transformer 95

6.3 Three-Phase Transformers with Various Winding Connections 101

6.4 Autotransformers 105

6.5 On-Load Tap-Changing Transformer (LTC Transformer) 107

6.6 Phase-Shifting Transformer 109

6.7 Woodbridge Transformers and Scott Transformers 113

6.8 Neutral Grounding Transformer 116

6.9 Transformer Magnetic Characteristics and Inrush Current Phenomena 118

7 Fault Analysis Based on Symmetrical Components 127

7.1 Fundamental Concepts of Fault Analysis Based on the Symmetrical Coordinate Method 127

7.2 Line-to-Ground Fault (Phase-a to Ground Fault: 1ϕG) 127

7.3 Fault Analysis at Various Fault Modes 132

7.4 Conductor Opening 137

7.5 Visual Vector Diagrams of Voltages and Currents under Fault Conditions 139

7.6 Three-Phase-Order Misconnections 151

8 Fault Analysis with the αβ0-Method 155

8.1 αβ0-Method (Clarke-Components) 155

8.2 Fault Analysis with αβ0-Components 166

8.3 Advantages of the αβ0-Method 171

8.4 Fault-Transient Analysis with Symmetrical Components and the αβ0-Method 171

9 Power Cables 175

9.1 Structural Features of Power Cables 175

9.2 Circuit Constants of Power Cables 183

9.3 Metallic Sheaths and Outer Coverings 190

10 Synchronous Generators, Part 1: Circuit Theory 195

10.1 Generator Model in a Phase abc-Domain 195

10.2 dq0 Method (dq0 Components) 203

10.3 Transformation of Generator Equations from the abc-Domain to the dq0-Domain 206

10.4 Physical Meanings of Generator Equations in the dq0-Domain 210

10.5 Generator dq0-Domain Equations 213

10.6 Generator dq0-Domain Equivalent Circuit 218

10.7 Generator Operating Characteristics and Vector Diagram on the d- and q-Axes Plane 220

10.8 Generator Transient Reactance 223

10.9 Symmetrical Equivalent Circuits of Generators 225

10.10 Laplace-Transformed Generator Equations and Time Constants 231

10.12 Relations Between the dq0-Domain and αβ0-Domain 239

10.13 Calculating Generator Short-Circuit Transient Current Under Load 239

11 Synchronous Generators, Part 2: Characteristics of Machinery 251

11.1 Apparent Power P + jQ in the abc-, 012-, dq0-Domains 251

11.2 Mechanical (Kinetic) Power and Generating (Electrical) Power 257

11.3 Kinetic Equation for Generators 259

11.4 Generator Operating Characteristics with P-Q (or p-q) Coordinates 269

11.5 Generator Ratings and Capability Curves 271

11.6 Generator’s Locus in the pq-Coordinate Plane under Various Operating Conditions 275

11.7 Leading Power-Factor (Under-Excitation Domain) Operation, and UEL Function by AVR 277

11.8 Operation at Over-Excitation (Lagging Power-Factor Operation) 282

11.9 Thermal Generators’ Weak Points (Negative-Sequence Current, Higher Harmonic Current, Shaft-Torsional Distortion) 282

11.10 Transient Torsional Twisting Torque of a TG Coupled Shaft 287

11.11 General Description of Modern Thermal/Nuclear TG Units 290

12 Steady-State, Transient, and Dynamic Stability 297

12.1 P-δ Curves and Q-δ Curves 297

12.2 Power Transfer Limits of Grid-Connected Generators (Steady-State Stability) 299

12.3 Transient Stability 306

12.4 Dynamic Stability 309

12.5 Four-Terminal Circuit and the P − δ Curve under Fault Conditions 310

12.6 P-δ Curve under Various Fault-Mode Conditions 312

12.7 PQV Characteristics and Voltage Instability (Voltage Avalanche) 313

12.8 Generator Characteristics with an AVR 319

12.9 Generator Operation Limit With and Without an AVR in PQ Coordinates 330

12.10 VQ (Voltage and Reactive Power) Control with an AVR 332

13 Induction Generators and Motors (Induction Machines) 337

13.1 Introduction to Induction Motors and Generators 337

13.2 Doubly Fed Induction Generators and Motors 337

13.3 Squirrel-Cage Induction Motors 355

13.4 Proportional Relations of Mechanical Quantities and Electrical Quantities as a Basis of Power-Electronic Control 367

14 Directional Distance Relays and R–X Diagrams 371

14.1 Overview of Protective Relays 371

14.2 Directional Distance Relays (DZ-Ry) and R–X Coordinate Plane 372

14.3 R–X Diagram Locus under Fault Conditions 375

14.4 Impedance Locus under Ordinary Load Conditions and Step-Out Conditions 381

14.5 Impedance Locus Under Faults with Load-Flow Conditions 385

14.6 Loss of Excitation Detection by Distance Relays (40-Relay) 386

15 Lightning and Switching Surge Phenomena and Breaker Switching 391

15.1 Traveling Wave on a Transmission Line, and Equations 391

15.2 Four-Terminal Network Equations between Two Arbitrary Points 398

15.3 Examination of Line Constants 399

15.4 Behavior of Traveling Waves at Transition Points 401

15.5 Surge Overvoltages and Their Three Different, Confusing Notations 404

15.6 Behavior of Traveling Waves at a Lightning-Strike Point 406

15.7 Traveling Wave Phenomena of Three-Phase Transmission Lines 408

15.8 Reflection Lattices and Transient Behavior Modes 413

15.9 Switching Surge Phenomena Caused by Breakers Tripping 415

15.10 Breaker Phase Voltages and Recovery Voltages after Fault Tripping 424

15.11 Three-Phase Breaker TRVs across Independent Poles 426

15.12 Circuit Breakers and Switching Practices 432

15.13 Switching Surge Caused by Line Switches (Disconnecting Switches) 452

15.14 Surge Phenomena Caused on Power Cable Systems 454

15.15 Lightning Surge Caused on Cable Lines 456

15.16 Switching Surge Caused on Cable Lines 458

15.17 Surge Voltages Caused on Cables and GIS Jointed Points 459

16 Overvoltage Phenomena 463

16.1 Neutral-Grounding Methods 463

16.2 Arc-Suppression Coil (Petersen Coil) Neutral-Grounded Method 467

16.3 Overvoltages Caused by a Line-to-Ground Fault 467

16.4 Other Low-Frequency Overvoltage Phenomena (Non-resonant Phenomena) 469

16.5 Lower-Frequency Resonant Overvoltages 472

16.6 Interrupted Ground Fault of a Cable Line in a Neutral-Ungrounded System 475

16.7 Switching Surge Overvoltages 475

16.8 Overvoltage Phenomena Caused by Lightning Strikes 477

17 Insulation Coordination 481

17.1 Overvoltages as Insulation Stresses 481

17.2 Classification of Overvoltages 483

17.3 Fundamental Process of Insulation Coordination 486

17.4 Countermeasures on Transmission Lines to Reduce Overvoltages and Flashover 487

17.5 Tower-Mounted Arrester Devices 489

17.6 Using Unequal Circuit Insulation (Double-Circuit Lines) 490

17.7 Using High-Speed Reclosing 490

17.8 Overvoltage Protection with Arresters at Substations 491

17.9 Station Protection Using OGWs and Reduced Grounding Resistance 499

17.10 Insulation Coordination Details 501

17.11 Transfer Surge Voltages through Transformers, and Generator Protection 509

17.12 Transformer Internal High-Frequency Voltage Oscillation Phenomena 518

17.13 Oil-Filled Transformers Versus Gas-Filled Transformers 524

18 Harmonics and Waveform Distortion Phenomena 527

18.1 Classification of Harmonics and Waveform Distortion 527

18.2 Impact of Harmonics 527

18.3 Harmonic Phenomena Caused by Power Cable Line Faults 529

19 Power Electronic Applications, Part 1: Devices 535

19.1 Fundamental Concepts of Power Electronics 535

19.2 Power Switching with Power Devices 535

19.3 Snubber Circuit 539

19.4 Voltage Conversion with Switching 540

19.5 Power Electronics Devices 542

19.6 Mathematical Background for Analyzing Power Electronics Applications 547

20 Power Electronics Applications, Part 2: Circuit Theory 553

20.1 AC-to-DC Conversion: A Rectifier with a Diode 553

20.2 AC-to-DC Controlled Conversion: Rectifier with a Thyristor 562

20.3 DC-to-DC Converters (DC-to-DC Choppers) 571

20.4 DC-to-AC Inverters 579

20.5 PWM Control of Inverters 583

20.6 AC-to-AC Converters (Cycloconverters) 587

21 Power Electronics Applications, Part 3: Control Theory 589

21.1 Introduction 589

21.2 Driving Motors 589

21.3 Static Var Compensators (SVC: A Thyristor-Based Approach) 597

21.4 Active Filters 603

21.5 Generator Excitation Systems 609

21.6 Adjustable-Speed Pumped-Storage Generator-Motor Units 610

21.7 Wind Generation 615

21.8 Small Hydro Generation 618

21.9 Solar Generation (Photovoltaic Generation) 619

21.10 High-Voltage DC Transmission (HVDC Transmission) 621

21.11 FACTS Technology 625

21.12 Railway Applications 627

21.13 Uninterruptible Power Supplies 628

Appendix A Mathematical Formulae 631

Appendix B Matrix Equation Formulae 635

Part B Digital Computation Theories 639

22 Digital Computation Basics 641

22.1 Introduction 641

22.2 Network Types 642

22.3 Circuit Elements 645

22.4 Ohm’s Law 653

22.5 Kirchhoff’s Circuit Laws 655

22.6 Electrical Division Principle 656

22.7 Instantaneous, Average, and RMS Values 657

22.8 Nodal Formulation 658

22.9 Procedure for Mesh Analysis 662

22.10 Norton’s and Thévenin’s Equivalents 664

22.11 Maximum Power Transfer Theorem 668

22.13 Network Topology 675

22.14 Power System Matrices 681

22.15 Transformer Modeling 692

22.16 Transmission Line Modeling 696

23 Power-Flow Methods 701

23.1 Newton–Raphson Method 701

23.2 Gauss–Seidel Method 702

23.3 Adaptive Newton–Raphson Method 703

23.4 Fast-Decoupled Method 703

24 Short-Circuit Methods 705

24.1 ANSI/IEEE Calculation Methods 705

24.2 IEC Calculation Methods 719

25 Harmonics 729

25.1 Problem Formulation 729

25.2 Methodology and Standards 733

25.3 Harmonic Indices 735

25.4 Harmonic Component Modeling 740

25.5 Power System Components 741

25.6 System Resonance 743

25.7 Harmonic Mitigation 744

26 Reliability 749

26.1 Methodology and Standards 749

26.2 Performance Indices 752

27 Numerical Integration Methods 755

27.1 Accuracy 755

27.2 Stability 755

27.3 Stiffness 757

27.4 Predictor–Corrector 757

27.5 Runge–Kutta 758

28 Optimization 761

28.1 Power-Flow Injections 761

28.2 Voltage Magnitude Constraints 762

28.3 Line-Flow Thermal Constraints 762

28.4 Line-Flow Constraints as Current Limitations 763

28.5 Line-Flow Constraints as Voltage Angle Constraints 763

Part C Analytical Practices and Examples using ETAP 765

29 Introduction to Power System Analysis 767

29.1 Planning Studies 767

29.2 Need for Power-System Analysis 768

29.3 Computers in Power Engineering 768

29.4 Study Approach 768

29.5 Operator Training 772

29.6 System Reliability and Maintenance 772

29.7 Electrical Transient Analyzer Program (ETAP) 772

30 One-Line Diagrams 777

30.1 Introduction 777

30.2 Engineering Parameters 777

30.3 One-Line Diagram Symbols 778

30.4 Power-System Configurations 780

30.5 Network Topology Processing 787

30.6 Illustrative Example – Per-Unit and Single-Line Diagram 790

31 Load Flow 791

31.1 Introduction 791

31.2 Study Objectives 791

31.3 Problem Formulation 792

31.4 Calculation Methodology 794

31.5 Required Data for ETAP 796

31.6 Data Collection and Preparation 797

31.7 Model Validation 797

31.8 Study Scenarios 799

31.9 Contingency Analysis 800

31.10 Optimal or Optimum Power Flow 801

31.11 Illustrative Examples 803

32 Short-Circuit/Fault Analysis 841

32.1 Introduction 841

32.2 Analysis Objectives 841

32.3 Methodology and Standards 846

32.4 Study Scenarios 855

32.5 Results and Reports 856

32.6 Illustrative Examples 858

33 Motor Starting 881

33.1 Methods 881

33.2 Analysis Objectives 893

33.3 Methodology and Standards 894

33.4 Required Data 902

33.5 Illustrative Examples 903

33.6 Motor-Starting Plots and Results 913

33.7 Motor-Starting Alerts 916

34 Harmonics 917

34.1 Introduction 917

34.2 Analysis Objectives 919

34.3 Required Data 921

34.4 Harmonic Load Flow and Frequency Scan 923

34.5 Illustrative Examples 924

35 Transient Stability 939

35.1 Introduction 939

35.2 Analysis Objectives 940

35.3 Basic Concepts of Transient Stability 942

35.4 Dynamic Models 944

35.5 User-Defined Models 967

35.6 Parameter Tuning 967

35.7 Single-Generator Power System Model 971

35.8 Data Collection and Preparation 973

35.9 Study Scenarios 974

35.10 Stability Improvement 977

35.11 System Simulation 977

35.12 Illustrative Examples 979

36 Reliability Assessment 1003

36.1 Introduction 1003

36.2 Analysis Objectives 1003

36.3 Problem Formulation 1004

36.4 Required Data 1005

36.5 Illustrative Examples 1005

37 Protective Device Coordination 1019

37.1 Introduction 1019

37.2 Relays 1022

37.3 Methodology 1028

37.4 Required Data 1035

37.5 Principle of Protection 1036

37.6 Principle of Selectivity/Coordination 1037

37.7 Art of Protection and Coordination >600 V 1040

37.8 Illustrative Examples 1048

Appendix C Standards, Regulations, and Best Practice 1071

Further Reading 1083

Index 1085

Power System Dynamics with ComputerBased Modeling

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A Hardback by Yoshihide Hase, Tanuj Khandelwal, Kazuyuki Kameda

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    View other formats and editions of Power System Dynamics with ComputerBased Modeling by Yoshihide Hase

    Publisher: John Wiley & Sons Inc
    Publication Date: 30/01/2020
    ISBN13: 9781119487456, 978-1119487456
    ISBN10: 1119487455

    Description

    Book Synopsis

    A unique combination of theoretical knowledge and practical analysis experience

    Derived from Yoshihide Hase?s Handbook of Power Systems Engineering, 2nd Edition, this book provides readers with everything they need to know about power system dynamics. Presented in three parts, it covers power system theories, computation theories, and how prevailed engineering platforms can be utilized for various engineering works. It features many illustrations based on ETAP to help explain the knowledge within as much as possible.

    Recompiling all the chapters from the previous book, Power System Dynamics with Computer Based Modeling and Analysis offers nineteen new and improved content with updated information and all new topics, including two new chapters on circuit analysis which help engineers with non-electrical engineering backgrounds. Topics covered include: Essentials of Electromagnetism; Complex Number Notation (Symbolic Method) and Laplace-tr

    Table of Contents

    About the Authors xxix

    Preface xxxi

    Acknowledgments xxxiii

    Part A Power Systems Theories and Practices 1

    1 Essentials of Electromagnetism 3

    1.1 Overview 3

    1.2 Voltage, Current, Electric Power, and Resistance 3

    1.3 Electromagnetic Induction (Faraday’s Law) 4

    1.4 Self Inductance and Mutual Inductance 6

    1.5 Mutual Capacitance 7

    2 Complex Number Notation (Symbolic Method) and the Laplace Transform 11

    2.1 Euler’s Formula 11

    2.2 Complex Number Notation of Electricity Based on Euler’s Formula 12

    2.3 LR Circuit Transient Calculation Using Complex Number Notation and the Laplace Transform 14

    2.4 LCR Circuit Transient Calculation 16

    2.5 Resistive, Inductive, and Capacitive Load, and Phasor Expressions 21

    3 Transmission Line Matrices and Symmetrical Components 25

    3.1 Overhead Transmission Lines with Inductive LR Constants 25

    3.2 Overhead Transmission Lines with Capacitive C Constants 30

    3.3 Symmetrical Coordinate Method (Symmetrical Components) 32

    3.4 Conversion of a Three-Phase Circuit into a Symmetrical Coordinated Circuit 39

    3.5 Transmission Lines by Symmetrical Components 39

    3.6 Generator by Symmetrical Components (Simplified Description) 47

    3.7 Description of a Three-Phase Load Circuit by Symmetrical Components 49

    4 Physics of Transmission Lines and Line Constants 51

    4.1 Inductance 51

    4.2 Capacitance and Leakage Current 59

    4.3 Actual Configuration of Overhead Transmission Lines 66

    4.4 Special Properties of Working Inductance and Working Capacitance 68

    4.5 MKS Rational Unit System 71

    5 The Per-Unit Method 77

    5.1 Fundamental Concepts of the PU Method 77

    5.2 PU Method for a Single-Phase Circuit 77

    5.3 PU Method for Three-Phase Circuits 79

    5.4 Base Quantity Modification of Unitized Impedance 80

    5.5 Unitized Symmetrical Circuit: Numerical Example 81

    6 Transformer Modeling 91

    6.1 Single-Phase Three-Winding Transformer 91

    6.2 − − Δ-Connected Three-Phase, Three-Winding Transformer 95

    6.3 Three-Phase Transformers with Various Winding Connections 101

    6.4 Autotransformers 105

    6.5 On-Load Tap-Changing Transformer (LTC Transformer) 107

    6.6 Phase-Shifting Transformer 109

    6.7 Woodbridge Transformers and Scott Transformers 113

    6.8 Neutral Grounding Transformer 116

    6.9 Transformer Magnetic Characteristics and Inrush Current Phenomena 118

    7 Fault Analysis Based on Symmetrical Components 127

    7.1 Fundamental Concepts of Fault Analysis Based on the Symmetrical Coordinate Method 127

    7.2 Line-to-Ground Fault (Phase-a to Ground Fault: 1ϕG) 127

    7.3 Fault Analysis at Various Fault Modes 132

    7.4 Conductor Opening 137

    7.5 Visual Vector Diagrams of Voltages and Currents under Fault Conditions 139

    7.6 Three-Phase-Order Misconnections 151

    8 Fault Analysis with the αβ0-Method 155

    8.1 αβ0-Method (Clarke-Components) 155

    8.2 Fault Analysis with αβ0-Components 166

    8.3 Advantages of the αβ0-Method 171

    8.4 Fault-Transient Analysis with Symmetrical Components and the αβ0-Method 171

    9 Power Cables 175

    9.1 Structural Features of Power Cables 175

    9.2 Circuit Constants of Power Cables 183

    9.3 Metallic Sheaths and Outer Coverings 190

    10 Synchronous Generators, Part 1: Circuit Theory 195

    10.1 Generator Model in a Phase abc-Domain 195

    10.2 dq0 Method (dq0 Components) 203

    10.3 Transformation of Generator Equations from the abc-Domain to the dq0-Domain 206

    10.4 Physical Meanings of Generator Equations in the dq0-Domain 210

    10.5 Generator dq0-Domain Equations 213

    10.6 Generator dq0-Domain Equivalent Circuit 218

    10.7 Generator Operating Characteristics and Vector Diagram on the d- and q-Axes Plane 220

    10.8 Generator Transient Reactance 223

    10.9 Symmetrical Equivalent Circuits of Generators 225

    10.10 Laplace-Transformed Generator Equations and Time Constants 231

    10.12 Relations Between the dq0-Domain and αβ0-Domain 239

    10.13 Calculating Generator Short-Circuit Transient Current Under Load 239

    11 Synchronous Generators, Part 2: Characteristics of Machinery 251

    11.1 Apparent Power P + jQ in the abc-, 012-, dq0-Domains 251

    11.2 Mechanical (Kinetic) Power and Generating (Electrical) Power 257

    11.3 Kinetic Equation for Generators 259

    11.4 Generator Operating Characteristics with P-Q (or p-q) Coordinates 269

    11.5 Generator Ratings and Capability Curves 271

    11.6 Generator’s Locus in the pq-Coordinate Plane under Various Operating Conditions 275

    11.7 Leading Power-Factor (Under-Excitation Domain) Operation, and UEL Function by AVR 277

    11.8 Operation at Over-Excitation (Lagging Power-Factor Operation) 282

    11.9 Thermal Generators’ Weak Points (Negative-Sequence Current, Higher Harmonic Current, Shaft-Torsional Distortion) 282

    11.10 Transient Torsional Twisting Torque of a TG Coupled Shaft 287

    11.11 General Description of Modern Thermal/Nuclear TG Units 290

    12 Steady-State, Transient, and Dynamic Stability 297

    12.1 P-δ Curves and Q-δ Curves 297

    12.2 Power Transfer Limits of Grid-Connected Generators (Steady-State Stability) 299

    12.3 Transient Stability 306

    12.4 Dynamic Stability 309

    12.5 Four-Terminal Circuit and the P − δ Curve under Fault Conditions 310

    12.6 P-δ Curve under Various Fault-Mode Conditions 312

    12.7 PQV Characteristics and Voltage Instability (Voltage Avalanche) 313

    12.8 Generator Characteristics with an AVR 319

    12.9 Generator Operation Limit With and Without an AVR in PQ Coordinates 330

    12.10 VQ (Voltage and Reactive Power) Control with an AVR 332

    13 Induction Generators and Motors (Induction Machines) 337

    13.1 Introduction to Induction Motors and Generators 337

    13.2 Doubly Fed Induction Generators and Motors 337

    13.3 Squirrel-Cage Induction Motors 355

    13.4 Proportional Relations of Mechanical Quantities and Electrical Quantities as a Basis of Power-Electronic Control 367

    14 Directional Distance Relays and R–X Diagrams 371

    14.1 Overview of Protective Relays 371

    14.2 Directional Distance Relays (DZ-Ry) and R–X Coordinate Plane 372

    14.3 R–X Diagram Locus under Fault Conditions 375

    14.4 Impedance Locus under Ordinary Load Conditions and Step-Out Conditions 381

    14.5 Impedance Locus Under Faults with Load-Flow Conditions 385

    14.6 Loss of Excitation Detection by Distance Relays (40-Relay) 386

    15 Lightning and Switching Surge Phenomena and Breaker Switching 391

    15.1 Traveling Wave on a Transmission Line, and Equations 391

    15.2 Four-Terminal Network Equations between Two Arbitrary Points 398

    15.3 Examination of Line Constants 399

    15.4 Behavior of Traveling Waves at Transition Points 401

    15.5 Surge Overvoltages and Their Three Different, Confusing Notations 404

    15.6 Behavior of Traveling Waves at a Lightning-Strike Point 406

    15.7 Traveling Wave Phenomena of Three-Phase Transmission Lines 408

    15.8 Reflection Lattices and Transient Behavior Modes 413

    15.9 Switching Surge Phenomena Caused by Breakers Tripping 415

    15.10 Breaker Phase Voltages and Recovery Voltages after Fault Tripping 424

    15.11 Three-Phase Breaker TRVs across Independent Poles 426

    15.12 Circuit Breakers and Switching Practices 432

    15.13 Switching Surge Caused by Line Switches (Disconnecting Switches) 452

    15.14 Surge Phenomena Caused on Power Cable Systems 454

    15.15 Lightning Surge Caused on Cable Lines 456

    15.16 Switching Surge Caused on Cable Lines 458

    15.17 Surge Voltages Caused on Cables and GIS Jointed Points 459

    16 Overvoltage Phenomena 463

    16.1 Neutral-Grounding Methods 463

    16.2 Arc-Suppression Coil (Petersen Coil) Neutral-Grounded Method 467

    16.3 Overvoltages Caused by a Line-to-Ground Fault 467

    16.4 Other Low-Frequency Overvoltage Phenomena (Non-resonant Phenomena) 469

    16.5 Lower-Frequency Resonant Overvoltages 472

    16.6 Interrupted Ground Fault of a Cable Line in a Neutral-Ungrounded System 475

    16.7 Switching Surge Overvoltages 475

    16.8 Overvoltage Phenomena Caused by Lightning Strikes 477

    17 Insulation Coordination 481

    17.1 Overvoltages as Insulation Stresses 481

    17.2 Classification of Overvoltages 483

    17.3 Fundamental Process of Insulation Coordination 486

    17.4 Countermeasures on Transmission Lines to Reduce Overvoltages and Flashover 487

    17.5 Tower-Mounted Arrester Devices 489

    17.6 Using Unequal Circuit Insulation (Double-Circuit Lines) 490

    17.7 Using High-Speed Reclosing 490

    17.8 Overvoltage Protection with Arresters at Substations 491

    17.9 Station Protection Using OGWs and Reduced Grounding Resistance 499

    17.10 Insulation Coordination Details 501

    17.11 Transfer Surge Voltages through Transformers, and Generator Protection 509

    17.12 Transformer Internal High-Frequency Voltage Oscillation Phenomena 518

    17.13 Oil-Filled Transformers Versus Gas-Filled Transformers 524

    18 Harmonics and Waveform Distortion Phenomena 527

    18.1 Classification of Harmonics and Waveform Distortion 527

    18.2 Impact of Harmonics 527

    18.3 Harmonic Phenomena Caused by Power Cable Line Faults 529

    19 Power Electronic Applications, Part 1: Devices 535

    19.1 Fundamental Concepts of Power Electronics 535

    19.2 Power Switching with Power Devices 535

    19.3 Snubber Circuit 539

    19.4 Voltage Conversion with Switching 540

    19.5 Power Electronics Devices 542

    19.6 Mathematical Background for Analyzing Power Electronics Applications 547

    20 Power Electronics Applications, Part 2: Circuit Theory 553

    20.1 AC-to-DC Conversion: A Rectifier with a Diode 553

    20.2 AC-to-DC Controlled Conversion: Rectifier with a Thyristor 562

    20.3 DC-to-DC Converters (DC-to-DC Choppers) 571

    20.4 DC-to-AC Inverters 579

    20.5 PWM Control of Inverters 583

    20.6 AC-to-AC Converters (Cycloconverters) 587

    21 Power Electronics Applications, Part 3: Control Theory 589

    21.1 Introduction 589

    21.2 Driving Motors 589

    21.3 Static Var Compensators (SVC: A Thyristor-Based Approach) 597

    21.4 Active Filters 603

    21.5 Generator Excitation Systems 609

    21.6 Adjustable-Speed Pumped-Storage Generator-Motor Units 610

    21.7 Wind Generation 615

    21.8 Small Hydro Generation 618

    21.9 Solar Generation (Photovoltaic Generation) 619

    21.10 High-Voltage DC Transmission (HVDC Transmission) 621

    21.11 FACTS Technology 625

    21.12 Railway Applications 627

    21.13 Uninterruptible Power Supplies 628

    Appendix A Mathematical Formulae 631

    Appendix B Matrix Equation Formulae 635

    Part B Digital Computation Theories 639

    22 Digital Computation Basics 641

    22.1 Introduction 641

    22.2 Network Types 642

    22.3 Circuit Elements 645

    22.4 Ohm’s Law 653

    22.5 Kirchhoff’s Circuit Laws 655

    22.6 Electrical Division Principle 656

    22.7 Instantaneous, Average, and RMS Values 657

    22.8 Nodal Formulation 658

    22.9 Procedure for Mesh Analysis 662

    22.10 Norton’s and Thévenin’s Equivalents 664

    22.11 Maximum Power Transfer Theorem 668

    22.13 Network Topology 675

    22.14 Power System Matrices 681

    22.15 Transformer Modeling 692

    22.16 Transmission Line Modeling 696

    23 Power-Flow Methods 701

    23.1 Newton–Raphson Method 701

    23.2 Gauss–Seidel Method 702

    23.3 Adaptive Newton–Raphson Method 703

    23.4 Fast-Decoupled Method 703

    24 Short-Circuit Methods 705

    24.1 ANSI/IEEE Calculation Methods 705

    24.2 IEC Calculation Methods 719

    25 Harmonics 729

    25.1 Problem Formulation 729

    25.2 Methodology and Standards 733

    25.3 Harmonic Indices 735

    25.4 Harmonic Component Modeling 740

    25.5 Power System Components 741

    25.6 System Resonance 743

    25.7 Harmonic Mitigation 744

    26 Reliability 749

    26.1 Methodology and Standards 749

    26.2 Performance Indices 752

    27 Numerical Integration Methods 755

    27.1 Accuracy 755

    27.2 Stability 755

    27.3 Stiffness 757

    27.4 Predictor–Corrector 757

    27.5 Runge–Kutta 758

    28 Optimization 761

    28.1 Power-Flow Injections 761

    28.2 Voltage Magnitude Constraints 762

    28.3 Line-Flow Thermal Constraints 762

    28.4 Line-Flow Constraints as Current Limitations 763

    28.5 Line-Flow Constraints as Voltage Angle Constraints 763

    Part C Analytical Practices and Examples using ETAP 765

    29 Introduction to Power System Analysis 767

    29.1 Planning Studies 767

    29.2 Need for Power-System Analysis 768

    29.3 Computers in Power Engineering 768

    29.4 Study Approach 768

    29.5 Operator Training 772

    29.6 System Reliability and Maintenance 772

    29.7 Electrical Transient Analyzer Program (ETAP) 772

    30 One-Line Diagrams 777

    30.1 Introduction 777

    30.2 Engineering Parameters 777

    30.3 One-Line Diagram Symbols 778

    30.4 Power-System Configurations 780

    30.5 Network Topology Processing 787

    30.6 Illustrative Example – Per-Unit and Single-Line Diagram 790

    31 Load Flow 791

    31.1 Introduction 791

    31.2 Study Objectives 791

    31.3 Problem Formulation 792

    31.4 Calculation Methodology 794

    31.5 Required Data for ETAP 796

    31.6 Data Collection and Preparation 797

    31.7 Model Validation 797

    31.8 Study Scenarios 799

    31.9 Contingency Analysis 800

    31.10 Optimal or Optimum Power Flow 801

    31.11 Illustrative Examples 803

    32 Short-Circuit/Fault Analysis 841

    32.1 Introduction 841

    32.2 Analysis Objectives 841

    32.3 Methodology and Standards 846

    32.4 Study Scenarios 855

    32.5 Results and Reports 856

    32.6 Illustrative Examples 858

    33 Motor Starting 881

    33.1 Methods 881

    33.2 Analysis Objectives 893

    33.3 Methodology and Standards 894

    33.4 Required Data 902

    33.5 Illustrative Examples 903

    33.6 Motor-Starting Plots and Results 913

    33.7 Motor-Starting Alerts 916

    34 Harmonics 917

    34.1 Introduction 917

    34.2 Analysis Objectives 919

    34.3 Required Data 921

    34.4 Harmonic Load Flow and Frequency Scan 923

    34.5 Illustrative Examples 924

    35 Transient Stability 939

    35.1 Introduction 939

    35.2 Analysis Objectives 940

    35.3 Basic Concepts of Transient Stability 942

    35.4 Dynamic Models 944

    35.5 User-Defined Models 967

    35.6 Parameter Tuning 967

    35.7 Single-Generator Power System Model 971

    35.8 Data Collection and Preparation 973

    35.9 Study Scenarios 974

    35.10 Stability Improvement 977

    35.11 System Simulation 977

    35.12 Illustrative Examples 979

    36 Reliability Assessment 1003

    36.1 Introduction 1003

    36.2 Analysis Objectives 1003

    36.3 Problem Formulation 1004

    36.4 Required Data 1005

    36.5 Illustrative Examples 1005

    37 Protective Device Coordination 1019

    37.1 Introduction 1019

    37.2 Relays 1022

    37.3 Methodology 1028

    37.4 Required Data 1035

    37.5 Principle of Protection 1036

    37.6 Principle of Selectivity/Coordination 1037

    37.7 Art of Protection and Coordination >600 V 1040

    37.8 Illustrative Examples 1048

    Appendix C Standards, Regulations, and Best Practice 1071

    Further Reading 1083

    Index 1085

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