"The equations for the analysis of ac machines are established from Tesla's rotating magnetic field which contains the transformation for symmetrical two- and three-phase variables to the arbitrary reference frame. This allows the voltage and flux linkage equations to be expressed in any frame of reference by simply assigning the speed of the reference frame. The transformation is nothing more than a means of expressing the variables (voltages and currents) that portray Tesla's rotating magnetic field from a given reference frame. This establishes a meaning to the transformation and makes it easier to understand"--
Comprehensive resource introducing magnetic circuits and rotating electric machinery, including models and discussions of control techniques
Introduction to Modern Analysis of Electric Machines and Drives is written for the junior or senior student in Electrical Engineering and covers the essential topic of machine analysis for those interested in power systems or drives engineering. The analysis contained in the text is based on Teslas rotating magnetic field and reference frame theory, which comes from Teslas work and is presented for the first time in an easy to understand format for the typical student.
Since the stators of synchronous and induction machines are the same for analysis purposes, they are analyzed just once. Only the rotors are different and therefore analyzed separately. This approach makes it possible to cover the analysis efficiently and concisely without repeating derivations. In fact, the synchronous generator equations are obtained from the equivalent circuit, which is obtained from work in other chapters without any derivation of equations, which differentiates Introduction to Modern Analysis of Electric Machines and Drives from all other textbooks in this area.
Topics explored by the two highly qualified authors in Introduction to Modern Analysis of Electric Machines and Drives include:
- Common analysis tools, covering steady-state phasor calculations, stationary magnetically linear systems, winding configurations, and two- and three-phase stators
- Analysis of the symmetrical stator, covering the change of variables in two- and three-phase transformations and more
- Symmetrical induction machines, covering symmetrical two-pole two-phase rotor windings, electromagnetic force and torque, and p-pole machines
- Direct current machines and drives, covering commutation, voltage and torque equations, permanent-magnet DC machines, and DC drives
Introduction to Modern Analysis of Electric Machines and Drives is appropriate as either a first or second course in the power and drives area. Once the reader has covered the material in this book, they will have a sufficient background to start advanced study in the power systems or drives areas.
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 TESLAS 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
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.
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