Power System Analysis and Design – Learn the basic concepts of power systems along with the tools you need to apply these skills to real world situations with POWER SYSTEM ANALYSIS AND DESIGN, 6E. This new edition highlights physical concepts while also giving necessary attention to mathematical techniques.

The authors develop both theory and modeling from simple beginnings so that you can readily extend these principles to new and complex situations. Software tools, including PowerWorld Simulation, and the latest content throughout this edition aid you with design issues while introducing you to the most recent trends in the field today.

Preface – Power System Analysis and Design

The objective of this book is to present methods of power system analysis and design, particularly with the aid of a personal computer, in sufficient depth to give the student the basic theory at the undergraduate level. The approach is designed to develop students’ thinking processes, enabling them to reach a sound understanding of a broad range of topics related to power system engineering, while motivating their interest in the electrical power industry. Because we believe that fundamental physical concepts underlie creative engineering and form the most valuable and permanent part of an engineering education, we highlight physical concepts while giving due attention to mathematical techniques. Both theory and modeling are developed from simple beginnings so that they can be readily extended to new and complex situations. New To This Edition New chapter-opening case studies bring principles to life for students by providing practical, real-world engineering applications for the material discussed in each chapter. Comprehensively revised problem sets ensure students have the practice they need to master critical skills. Updated Instructor Resources These resources include ● Instructor’s Solutions Manual with solutions to all problems ● Comprehensive Test Bank offering additional problems ● Annotated Lecture Note PowerPoint Slides ● Lesson Plans that detail how to most effectively use this edition ● Updated PowerWorld Simulator Software ● Student PowerPoint Notes New design projects in this edition meet Accreditation Board for Engineering and Technology (ABET) requirements to provide valuable hands-on experience and to help ensure students are receiving an education that meets globally recognized accreditation standards. The latest version of the valuable PowerWorld Simulator (version 19) is included and integrated throughout the text.

Table of Content – Power System Analysis and Design


Preface xi
List of Symbols, Units, and Notation xvii
CHAPTER 1 Introduction 1
Case Study: How the Free Market Rocked the Grid 2
1.1 History of Electric Power Systems 10
1.2 Present and Future Trends 17
1.3 Electric Utility Industry Structure 20
1.4 Computers in Power System Engineering 21
1.5 PowerWorld Simulator 22
CHAPTER 2 Fundamentals 31
Case Study: Key Connections 32
2.1 Phasors 40
2.2 Instantaneous Power in Single-Phase AC Circuits 42
2.3 Complex Power 47
2.4 Network Equations 52
2.5 Balanced Three-Phase Circuits 55
2.6 Power in Balanced Three-Phase Circuits 63
2.7 Advantages of Balanced Three-Phase versus
Single-Phase Systems 68

CHAPTER 3 Power Transformers 87
Case Study: Power Transformers—Life Management
and Extension 88
3.1 The Ideal Transformer 95
3.2 Equivalent Circuits for Practical Transformers 101

3.3 The Per-Unit System 107
3.4 Three-Phase Transformer Connections
and Phase Shift 115
3.5 Per-Unit Equivalent Circuits of Balanced Three-Phase
Two-Winding Transformers 120
3.6 Three-Winding Transformers 125
3.7 Autotransformers 129
3.8 Transformers with Off-Nominal Turns
Ratios 131
CHAPTER 4 Transmission Line Parameters 161
Case Study: Integrating North America’s Power Grid 162
Case Study: Grid Congestion – Unclogging the Arteries
of North America’s Power Grid 167
4.1 Transmission Line Design Considerations 173
4.2 Resistance 178
4.3 Conductance 181
4.4 Inductance: Solid Cylindrical Conductor 181
4.5 Inductance: Single-Phase Two-Wire Line
and Three-Phase Three-Wire Line with Equal Phase
Spacing 186
4.6 Inductance: Composite Conductors, Unequal Phase
Spacing, Bundled Conductors 188
4.7 Series Impedances: Three-Phase Line with Neutral
Conductors and Earth Return 196
4.8 Electric Field and Voltage:

Solid Cylindrical Conductor 201
4.9 Capacitance: Single-Phase Two-Wire
Line and Three-Phase Three-Wire Line with
Equal Phase Spacing 204
4.10 Capacitance: Stranded Conductors, Unequal Phase
Spacing, Bundled Conductors 206
4.11 Shunt Admittances: Lines with Neutral Conductors
and Earth Return 210
4.12 Electric Field Strength at Conductor Surfaces and
at Ground Level 215
4.13 Parallel Circuit Three-Phase Lines 218

Power System Analysis and Design

CHAPTER 5 Transmission Lines: Steady-State Operation 237
Case Study: The ABCs of HVDC Transmission
Technologies: An Overview of High Voltage Direct
Current Systems and Applications 238
5.1 Medium and Short Line Approximations 258
5.2 Transmission-Line Differential Equations 265
5.3 Equivalent p Circuit 271
5.4 Lossless Lines 274
5.5 Maximum Power Flow 282
5.6 Line Loadability 284
5.7 Reactive Compensation Techniques 289
CHAPTER 6 Power Flows 309
Case Study: Finding Flexibility—Cycling the Conventional
Fleet 310
6.1 Direct Solutions to Linear Algebraic Equations:
Gauss Elimination 330
6.2 Iterative Solutions to Linear Algebraic Equations:
Jacobi and Gauss-Seidel 334
6.3 Iterative Solutions to Nonlinear
Algebraic Equations: Newton-Raphson 340
6.4 The Power Flow Problem 345
6.5 Power Flow Solution by Gauss-Seidel 351
6.6 Power Flow Solution by Newton-Raphson 353

Power System Analysis and Design

6.7 Control of Power Flow 363
6.8 Sparsity Techniques 369
6.9 Fast Decoupled Power Flow 372
6.10 The “DC” Power Flow 372
6.11 Power Flow Modeling of Wind Generation 374
6.12 Economic Dispatch 376
6.13 Optimal Power Flow 389
Design Projects 1–3 404–412
CHAPTER 7 Symmetrical Faults 415
Case Study: Short-Circuit Modeling of a Wind Power
Plant 416
7.1 Series R–L Circuit Transients 435

7.2 Three-Phase Short Circuit—Unloaded Synchronous
Machine 438
7.3 Power System Three-Phase Short Circuits 442
7.4 Bus Impedance Matrix 445
7.5 Circuit Breaker and Fuse Selection 455
Design Project 3 (continued) 472
CHAPTER 8 Symmetrical Components 475
Case Study: Technological Progress in High-Voltage
Gas-Insulated Substations 476
8.1 Definition of Symmetrical Components 493
8.2 Sequence Networks of Impedance Loads 499
8.3 Sequence Networks of Series Impedances 506
8.4 Sequence Networks of Three-Phase Lines 508
8.5 Sequence Networks of Rotating Machines 510
8.6 Per-Unit Sequence Models of Three-Phase
Two-Winding Transformers 516
8.7 Per-Unit Sequence Models of Three-Phase
Three-Winding Transformers 522
8.8 Power in Sequence Networks 524

CHAPTER 9 Unsymmetrical Faults 539
Case Study: Innovative Medium Voltage Switchgear
for Today’s Applications 540
9.1 System Representation 547
9.2 Single Line-to-Ground Fault 553
9.3 Line-to-Line Fault 557
9.4 Double Line-to-Ground Fault 560
9.5 Sequence Bus Impedance Matrices 567
Design Project 3 (continued) 588
Design Project 4 589
CHAPTER 10 System Protection 593
Case Study: Upgrading Relay Protection Be Prepared for the
Next Replacement or Upgrade Project 594
10.1 System Protection Components 612

Power System Analysis and Design

10.2 Instrument Transformers 614
10.3 Overcurrent Relays 620
10.4 Radial System Protection 625
10.5 Reclosers and Fuses 629
10.6 Directional Relays 633
10.7 Protection of a Two-Source System with Directional
Relays 634
10.8 Zones of Protection 635
10.9 Line Protection with Impedance (Distance)
Relays 639
10.10 Differential Relays 645
10.11 Bus Protection with Differential Relays 647
10.12 Transformer Protection with Differential
Relays 648
10.13 Pilot Relaying 653
10.14 Numeric Relaying 654
CHAPTER 11 Transient Stability 669
Case Study: Down, but Not Out 671
11.1 The Swing Equation 689
11.2 Simplified Synchronous Machine Model and System
Equivalents 695
11.3 The Equal-Area Criterion 697
11.4 Numerical Integration of the Swing Equation 707
11.5 Multimachine Stability 711
11.6 A Two-Axis Synchronous Machine Model 719
11.7 Wind Turbine Machine Models 724

11.8 Design Methods for Improving Transient
Stability 730
CHAPTER 12 Power System Controls 739
Case Study: No Light in August: Power System Restoration
Following the 2003 North American Blackout 742
12.1 Generator-Voltage Control 757
12.2 Turbine-Governor Control 761
12.3 Load-Frequency Control 767

CHAPTER 13 Transmission Lines: Transient Operation 779
Case Study: Surge Arresters 780
Case Study: Emergency Response 794
13.1 Traveling Waves on Single-Phase Lossless Lines 809
13.2 Boundary Conditions for Single-Phase Lossless
Lines 813
13.3 Bewley Lattice Diagram 822
13.4 Discrete-Time Models of Single-Phase Lossless Lines
and Lumped RLC Elements 828
13.5 Lossy Lines 834
13.6 Multiconductor Lines 838
13.7 Power System Overvoltages 841
13.8 Insulation Coordination 847
CHAPTER 14 Power Distribution 859
Case Study: It’s All in the Plans 860
14.1 Introduction to Distribution 875
14.2 Primary Distribution 878
14.3 Secondary Distribution 885
14.4 Transformers in Distribution Systems 890
14.5 Shunt Capacitors in Distribution Systems 900
14.6 Distribution Software 905
14.7 Distribution Reliability 906
14.8 Distribution Automation 910
14.9 Smart Grids 913
Appendix 921
Index 925

Book Review by A. Anderson

Typical power textbook, heavy emphasis on PowerWorld

This was a required text for a graduate course I took. The book is average with lots of PowerWorld examples, but is rather wordy and long-winded. I have tried using it as a desktop reference at work, but have a very hard time using it to find specific answers when I need them.

Bang for the buck: If you want hands-on activities with PowerWorld, this book provides good narrative to the examples that come with the free version of the software. If you need to write your own code, Grainger & Stevenson is more compact and focused.

Review – Power System Analysis and Design

“In my opinion, this textbook is the market leader at this level. I have received consistently good feedback from students regarding this book. The set of worked examples in this book remains to this day one of it best selling points. The introduction of the PowerWorld material in the latest editions was a good move. To me this is a mature text; it is free from factual errors and omissions. The examples are plenty and good. I like the examples which are carried throughout a given chapter. It has great worked out examples. It is well-written and appropriately concise.”

“The book has a good flow and a good pace. The material is very well written academically.”

About the Author – Power System Analysis and Design

A Ph.D. from MIT, J. Duncan Glover is President and Principal Engineer at Failure Electrical, LLC. He was a Principal Engineer at Exponent Failure Analysis Associates and a tenured Associate Professor in the Electrical and Computer Engineering Department of Northeastern University.

He has held several engineering positions with companies, including the International Engineering Company and the American Electric Power Service Corporation. Dr. Glover specializes in issues pertaining to electrical engineering, particularly as they relate to failure analysis of electrical systems, subsystems, and components, including causes of electrical fires


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