Bahram Amin. Induction Motors. Analysis and Torque Control. With 41 Figures and 50 diagrams (simulation plots) Springer

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1 Bahram Amin Induction Motors Analysis and Torque Control With 41 Figures and 50 diagrams (simulation plots) Springer

2 1 Main Parameters of Induction Motors 1.1 Introduction Structural Elements of Induction Motors Parameter Calculation 7 2 Electromagnetic Space Vectors and General Equivalent Circuits 2.1 Introduction Magneto-Motive Forces and Currents Magnetic Energy Stored In the Machine - Magnetizing Energy Torque Voltage Equations General Equivalent Circuits Power Considerations 29 3 Steady-State Three-Phase Induction Motors 3.1 Introduction Statement of the Problem Determination of the Equivalent Circuit Parameters Magnetizing Energy and Torque Input Impedance and Admittance - Current-Transfer Ratio Voltage-Source Line-Fed Induction Motors Under Steady- State Conditions Phase Currents Torque Magnetizing Energy Full-Load Regime Order of Magnitude of Variables in a Voltage-Source Line-Fed Induction Motor Line-Fed Induction Motors at Start-up Power Considerations Current-Source Line-Fed Induction Motors Magnetizing Energy 54

3 3.8.2 Torque Order of Magnitude of Variables in a Current-Source Line-Fed Induction Motor Current-Source Line-Fed Induction Motors at Start- Up Negative-Sequence Applied Voltages Induction Motors Fed from Unbalanced Voltage Source Phase Currents Magnetizing Energy Torque Asymmetric Three-Phase Induction Motors in Steady- State Regimes 67 4 Steady-State Single-Phase Induction Motors 4.1 Introduction Equations for Single-Phase Motors Stator Currents Rotor Currents Magnetizing Energy Torque Line-Fed Single-Phase Induction Motors Line Voltage Magnetizing Energy and Torque Phase Current Equivalent Circuit Determination of the Equivalent Circuit Parameters 91 5 Induction Motors in Transient Regimes 5.1 Introduction Operating Equations in Transient Regimes Transient Analysis in the Time Domain Electromagnetic Transients with Rapidly Changing Angular Velocity Electromagnetic Transients with Slowly Changing Angular Velocity Transient Analysis of Inverter-Fed Induction Motors Transient Analysis in the Frequency Domain Examples of Simulation Start-Up from Standstill 104

4 XI Take-Over of a De-Energized Motor Inverter-Fed Induction Motors with Frozen Power Switches Inverter-Fed Induction Motors 6.1 Introduction Voltage-Source Inverters Natural Pulse Pattern of Inverters Natural Pulse Pattern of a Two-Level Inverter Natural Pulse Pattern of a Three-Level Inverter Scanning Modes Periodic Scanning Modes - Output Waveforms Spectral Analysis of Periodic Waveforms - Total Harmonic Distortion Space Vector Modulation Basic Idea Uniform Waveforms Obtained Using Space Vector Modulation Required Switching Frequency Output Current Waveforms Voltage Space Vector Applied Across the Load Y-Connected Load A-Connected Load Harmonics Voltage Harmonics Harmonic Components of Single-Pulse Waveforms Harmonic Components of P-Pulse Waveforms Harmonic Components of Uniform Waveforms Harmonic Components of Quasi-Uniform Waveforms Harmonic Components of Modulated Waveforms Current Harmonics Current Harmonics in Various Load Phases Current Harmonics of Input Lines Current-Source Inverters Induction Motors Torque Control 7.1 Introduction Vector Control 158

5 XII Contents Principle of the Computed Charge Acceleration Method (C.C.A.M) Implementation of the C.C.A.M Other Vector Control Approaches Vector Control Simulation Results Scalar Control Scalar Control Principle Scalar Control Operating Conditions Scalar Control Simulation Results Evaluation of the Statorand Rotor Resistance Principle of Speed Calculation Speed Regulation 203 Appendix A Field-Oriented Control A.1 Introduction 205 A.2 Preliminary Investigations 205 A.3 Field-Oriented Control 207 Appendix B Direct Torque Control B.1 Introduction 213 B.2 Direct Torque Control Principle 213 Appendix C Double-Cage Induction Motors C.1 Introduction 217 C.2 Voltage Equations in Double-Cage Induction Motors 217 C.3 General Equivalent Circuit of Double-Cage Induction Motors 219 C.4 Steady-State Equivalent Circuit of Double-Cage Induction Motors 222 Appendix D Transient Analysis in Single-Phase Induction Motors D.1 Introduction 225 D.2 Transients in Three-Phase Induction Motors 225 D.3 Transients in Single-Phase Induction Motors 227

6 XIII Appendix E Synchronous Motors Torque Control E.1 Introduction 229 E.2 Operating Equations of Cylindrical-Rotor Synchronous Motors 230 E.3 Torque Control of Cylindrical-Rotor Synchronous Motors 233 E.4 Examples of Simulations 234 E.5 Operating Equations for Salient-Pole Synchronous Motors 237 E.6 Torque Control of Salient-Pole Synchronous Motors 239 E.7 Operating Equations for Synchronous Machines with Damper Cages and Field Winding 242 E.7.1 Cylindrical-Rotor Synchronous Machines 244 E.7.2 Salient-Pole Synchronous Machines 252 References 257 Subject Index 259

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