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Preface xi
Acknowledgments xv
About the Author xvii
Introduction to Electromechanical Systems 1
Homework Problems 12
References 13
Analysis of Electromechanical Systems and Devices 15
Introduction to Analysis and Modeling 15
Energy Conversion and Force Production in Electromechanical Motion Devices 19
Introduction to Electromagnetics 29
Fundamentals of Electromagnetics 33
Classical Mechanics and Its Application 42
Newtonian Mechanics 43
Newtonian Mechanics, Energy Analysis, Generalized Coordinates, and Lagrange Equations: Translational Motion 43
Newtonian Mechanics: Rotational Motion 47
Lagrange Equations of Motion 53
Hamilton Equations of Motion 70
Application of Electromagnetics and Classical Mechanics to Electromechanical Systems 73
Simulation of Systems in the MATLAB Environment 94
Homework Problems 118
References 123
Introduction to Power Electronics 125
Operational Amplifiers 125
Power Amplifiers and Power Converters 134
PowerAmplifier and Analog Controllers 134
Switching Converter: Buck Converter 139
Boost Converter 146
Buck-Boost Converters 152
Cuk Converters 153
Flyback and Forward Converters 155
Resonant and Switching Converters 157
Homework Problems 162
References 163
Direct-Current Electric Machines and Motion Devices 165
Permanent-Magnet Direct-Current Electric Machines 165
Radial Topology Permanent-Magnet Direct-Current Electric Machines 165
Simulation and Experimental Studies of Permanent-Magnet Direct-Current Machines 174
Permanent-Magnet Direct-Current Generator Driven by a Permanent-Magnet Direct-Current Motor 182
Electromechanical Systems with Power Electronics 188
Axial Topology Permanent-Magnet Direct-Current Electric Machines 196
Fundamentals of Axial Topology Permanent-Magnet Machines 196
Axial Topology Hard Drive Actuator 200
Electromechanical Motion Devices: Synthesis and Classification 211
Homework Problems 214
References 215
Induction Machines 217
Fundamentals, Analysis, and Control of Induction Motors 217
Introduction 217
Two-Phase Induction Motors in Machine Variables 219
Lagrange Equations of Motion for Induction Machines 229
Torque-Speed Characteristics and Control of Induction Motors 233
Advanced Topics in Analysis of Induction Machines 246
Three-Phase Induction Motors in the Machine Variables 252
Dynamics and Analysis of Induction Motors Using the Quadrature and Direct Variables 266
Arbitrary, Stationary, Rotor, and Synchronous Reference Frames 266
Induction Motors in the Arbitrary Reference Frame 271
Induction Motors in the Synchronous Reference Frame 281
Simulation and Analysis of Induction Motors in the MATLAB Environment 285
Power Converters 295
Homework Problems 305
References 309
Synchronous Machines 311
Introduction to Synchronous Machines 311
Radial Topology Synchronous Reluctance Motors 314
Single-Phase Synchronous Reluctance Motors 314
Three-Phase Synchronous Reluctance Motors 319
Radial Topology Permanent-Magnet Synchronous Machines 330
Two-Phase Permanent-Magnet Synchronous Motors and Stepper Motors 330
Radial Topology Three-Phase Permanent-Magnet Synchronous Machines 341
Mathematical Models of Permanent-Magnet Synchronous Machines in the Arbitrary, Rotor, and Synchronous Reference Frames 364
Advanced Topics in Analysis of Permanent-Magnet Synchronous Machines 370
Axial Topology Permanent-Magnet Synchronous Machines 385
Conventional Three-Phase Synchronous Machines 399
Homework Problems 421
References 422
Introduction to Control of Electromechanical Systems and Proportional-Integral-Derivative Control Laws 423
Electromechanical Systems Dynamics 423
Equations of Motion: Electromechanical Systems Dynamics in the State-Space Form and Transfer Functions 429
Analog Control of Electromechanical Systems 434
Analog Proportional-Integral-Derivative Control Laws 434
Control of an Electromechanical System with a Permanent-Magnet DC Motor Using Proportional-Integral-Derivative Control Law 443
Digital Control of Electromechanical Systems 454
Proportional-Integral-Derivative Digital Control Laws and Transfer Functions 454
Digital Electromechanical Servosystem with a Permanent-Magnet DC Motor 464
Homework Problems 472
References 473
Advanced Control of Electromechanical Systems 475
Hamilton-Jacobi Theory and Optimal Control of Electromechanical Systems 476
Stabilization Problem for Linear Electromechanical Systems 480
Tracking Control of Linear Electromechanical Systems 491
State Transformation Method and Tracking Control 493
Time-Optimal Control of Electromechanical Systems 498
Sliding Mode Control 502
Constrained Control of Nonlinear Electromechanical Systems 509
Optimization of Systems Using Nonquadratic Performance Functionals 514
Lyapunov Stability Theory in Analysis and Control of Electromechanical Systems 527
Control of Linear Discrete-Time Electromechanical Systems Using the Hamilton-Jacobi Theory 536
Linear Discrete-Time Systems 536
Constrained Optimization of Discrete-Time Electromechanical Systems 541
Tracking Control of Discrete-Time Systems 546
Homework Problems 548
References 549
Index 551
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