Table of Contents

Preface

CHAPTER 1 COMMON ANALYSIS TOOLS

1.1   INTRODUCTION

1.2   STEADY-STATE PHASOR CALCULATIONS

Power and Reactive Power

1.3   STATIONARY MAGNETICALLY-LINEAR SYSTEMS

Two-Winding Transformer

1.4   WINDING CONFIGURATIONS

1.5   TWO- AND THREE-PHASE STATORS

Two-Phase Stator

Three-Phase Stator

Line-to-Line Voltage

1.6   PROBLEMS

1.7          REFERENCE

CHAPTER 2 ANALYSIS OF THE SYMMETRICAL STATOR

2.1               INTRODUCTION

2.2               TESLA’S ROTATING MAGNETIC FIELD

Two-Pole Two-Phase Stator

Two-Pole Three-Phase Stator

2.3               REFERENCE FRAME THEORY

Two-Phase Transformation

Three-Phase Transformation

2.4               STATOR VOLTAGE AND FLUX LINKAGE EQUATIONS IN THE ARBITRARY REFERENCE FRAME AND THE INSTANTANEOUS PHASOR

Two-Phase Stator

Three-Phase Stator

Instantaneous and Steady-State Phasors

2.5               PROBLEMS

2.6          REFERENCES

CHAPTER 3 SYMMETRICAL INDUCTION MACHINE

3.1               INTRODUCTION

3.2               SYMMETRICAL MACHINES

3.3               SYMMETRICAL TWO-POLE ROTOR WINDINGS

Two-Phase Rotor Windings

Three-Phase Rotor Windings

3.4               SUBSTITUTE VARIABLES FOR SYMMETRICAL ROTATING CIRCUITS AND EQUIVALENT CIRCUIT

Two-Phase Machine

Three-Phase Machine

3.5               ELECTROMAGNETIC FORCE AND TORQUE

3.6               P-POLE MACHINES

3.7          FREE ACCELERATING VARIABLES VIEWED FROM DIFFERENT REFERENCE FRAMES

3.8               STEADY-STATE EQUIVALENT CIRCUIT

3.9               PROBLEMS

3.10        REFERENCES

CHAPTER 4 SYNCHRONOUS MACHINES

4.1          INTRODUCTION

4.2          ANALYSIS OF THE PERMANENT-MAGNET ac MOTOR

                                Torque

                                Unequal Direct– and Quadrature-Axis Inductances

                                Three-Phase Machine

4.3          WINDINGS OF THE SYNCHRONOUS MACHINE

4.4          EQUIVALENT CIRCUIT – VOLTAGE AND TORQUE EQUATIONS

Torque

Rotor Angle

4.5          DYNAMIC AND STEADY-STATE PERFORMANCES

4.6          ANALYSI OF STEADY-STATE OPERATION

4.7          TRANSIENT STABILITY

Three-Phase Fault

4.8          PROBLEMS

4.9          REFERENCE

CHAPTER 5 DIRECT CURRENT MACHINE AND DRIVE

5.1               INTRODUCTION

5.2               COMMUTATION

5.3               VOLTAGE AND TORQUE EQUATIONS

5.4               PERMANENT-MAGNET dc MACHINE

5.5               DC DRIVE

Average-Value Time-Domain Block Diagram

Torque Control

5.6               PROBLEMS

5.7          REFERENCE

CHAPTER 6 BRUSHLESS dc AND FIELD ORIENTED DRIVES

6.1          INTRODUCTION

6.2          THE BRUSHLESS dc DRIVE CONFIGURATION

6.3          COMMON MODE OF BRUSHLESS dc DRIVE OPERATION

6.4          OTHER MODES OF BRUSHLESS dc DRIVE OPERATION

Maximum-Torque Per Volt Operation of a Brushless dc Drive

Maximum-Torque Per Ampere Operation of a Brushless dc Drive

Torque Control

6.5          FIELD ORIENTED INDUCTION MOTOR DRIVE

6.6          PROBLEMS

6.7          REFERENCES

CHAPTER 7 SINGLE-PHASE INDUCTION MOTORS

7.1               INTRODUCTION

7.2               SYMMETRICAL COMPONENTS

7.3               ANALYSIS OF UNBALANCED MODES OF OPERATION

Unbalanced Stator Voltages

Unbalanced Stator Impedances

Open-Circuited Stator Phase

7.4               SINGLE-PHASE AND CAPACITOR-STATOR INDUCTION MOTORS

Single-Phase Induction Motor

Capacitor-Start Induction Motor

7.5          DYNAMIC AND STEADY-STATE PERFORMANCE OF A CAPACITOR-START SINGLE-PHASE INDUCTION MOTOR

7.6          SPLIT-PHASE INDUCTION MOTOR

7.7          PROBLEMS

7.8          REFERENCES

CHAPTER 8 STEPPER MOTORS

8.1               INTRODUCTION

8.2          BASIC CONFIGURATIONS OF MULTISTACK VARIABLE-RELUCTANCE STEPPER MOTORS

8.3          EQUATIONS FOR MULTSTACKVARIABLE-RELUCTANCE STEPPER MOTORS

8.4          OPERATING CHARACTERISTICS OF MULTISTACK VARIABLE-RELUCTANCE STEPPER MOTORS

8.5          SINGLE-STACK VARIABLE-RELUCTANCE STEPPER MOTORS

8.6          BASIC-CONFIGURATION OF PERMANENT-MAGNET STEPPER MOTORS

8.7          EQUATIONS FOR PERMANENT-MAGNET STEPPER MOTORS

8.8          PROBLEMS

8.9          REFERENCES

About the Author

Paul C. Krause, PhD, started PC Krause and Associates, Inc. in 1983. He was a Professor in the School of Electrical and Computer Engineering at Purdue University for 39 years. He is a Life Fellow of the IEEE and has authored or co-authored over 100 technical papers and three textbooks on electric machines. He was the recipient of the IEEE Nikola Tesla Award in 2010.

Thomas C. Krause received the B.S degree in electrical engineering from Purdue University, West Lafayette, IN, USA, in 2019 and the M.S. degree in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, MA, USA, in 2021. He is currently pursuing the PhD degree with the Massachusetts Institute of Technology.