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- Gebundenes Buch
Presenting a rigorous introduction to the theoretical principles and techniques of electrical machine design, Design of Rotating Electrical Machines outlines a detailed, step-by-step sequence of machine design, providing an invaluable guide on how to approach rotating electrical machine design. This updated second edition provides practicing engineers, researchers, and students with a comprehensive and systematic overview of all existing and emerging technologies in the field. This in-depth reference includes end of chapter exercises and direct design examples with methods for tackling, and…mehr
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Presenting a rigorous introduction to the theoretical principles and techniques of electrical machine design, Design of Rotating Electrical Machines outlines a detailed, step-by-step sequence of machine design, providing an invaluable guide on how to approach rotating electrical machine design. This updated second edition provides practicing engineers, researchers, and students with a comprehensive and systematic overview of all existing and emerging technologies in the field. This in-depth reference includes end of chapter exercises and direct design examples with methods for tackling, and solutions to, real design problems.
In one complete volume, this essential reference presents an in-depth overview of the theoretical principles and techniques of electrical machine design. This timely new edition offers up-to-date theory and guidelines for the design of electrical machines, taking into account recent advances in permanent magnet machines as well as synchronous reluctance machines.
New coverage includes:
Brand new material on the ecological impact of the motors, covering the eco-design principles of rotating electrical machines
An expanded section on the design of permanent magnet synchronous machines, now reporting on the design of tooth-coil, high-torque permanent magnet machines and their properties
Large updates and new material on synchronous reluctance machines, air-gap inductance, losses in and resistivity of permanent magnets (PM), operating point of loaded PM circuit, PM machine design, and minimizing the losses in electrical machines
End-of-chapter exercises and new direct design examples with methods and solutions to real design problems
A supplementary website hosts two machine design examples created with MATHCAD: rotor surface magnet permanent magnet machine and squirrel cage induction machine calculations. Also a MATLAB code for optimizing the design of an induction motor is provided
Outlining a step-by-step sequence of machine design, this book enables electrical machine designers to design rotating electrical machines. With a thorough treatment of all existing and emerging technologies in the field, it is a useful manual for professionals working in the diagnosis of electrical machines and drives. A rigorous introduction to the theoretical principles and techniques makes the book invaluable to senior electrical engineering students, postgraduates, researchers and university lecturers involved in electrical drives technology and electromechanical energy conversion.
In one complete volume, this essential reference presents an in-depth overview of the theoretical principles and techniques of electrical machine design. This timely new edition offers up-to-date theory and guidelines for the design of electrical machines, taking into account recent advances in permanent magnet machines as well as synchronous reluctance machines.
New coverage includes:
Brand new material on the ecological impact of the motors, covering the eco-design principles of rotating electrical machines
An expanded section on the design of permanent magnet synchronous machines, now reporting on the design of tooth-coil, high-torque permanent magnet machines and their properties
Large updates and new material on synchronous reluctance machines, air-gap inductance, losses in and resistivity of permanent magnets (PM), operating point of loaded PM circuit, PM machine design, and minimizing the losses in electrical machines
End-of-chapter exercises and new direct design examples with methods and solutions to real design problems
A supplementary website hosts two machine design examples created with MATHCAD: rotor surface magnet permanent magnet machine and squirrel cage induction machine calculations. Also a MATLAB code for optimizing the design of an induction motor is provided
Outlining a step-by-step sequence of machine design, this book enables electrical machine designers to design rotating electrical machines. With a thorough treatment of all existing and emerging technologies in the field, it is a useful manual for professionals working in the diagnosis of electrical machines and drives. A rigorous introduction to the theoretical principles and techniques makes the book invaluable to senior electrical engineering students, postgraduates, researchers and university lecturers involved in electrical drives technology and electromechanical energy conversion.
Produktdetails
- Produktdetails
- Verlag: Wiley & Sons
- 2. Aufl.
- Seitenzahl: 616
- Erscheinungstermin: 29. November 2013
- Englisch
- Abmessung: 250mm x 175mm x 37mm
- Gewicht: 1217g
- ISBN-13: 9781118581575
- ISBN-10: 1118581571
- Artikelnr.: 38478983
- Verlag: Wiley & Sons
- 2. Aufl.
- Seitenzahl: 616
- Erscheinungstermin: 29. November 2013
- Englisch
- Abmessung: 250mm x 175mm x 37mm
- Gewicht: 1217g
- ISBN-13: 9781118581575
- ISBN-10: 1118581571
- Artikelnr.: 38478983
Juha Pyrhönen Lappeenranta University of Technology, Finland Tapani Jokinen Aalto University, School of Electrical Engineering, Finland Valéria Hrabovcová University of ?ilina, Slovakia
Preface xi About the Authors xiii Abbreviations and Symbols xv 1 Principal
Laws and Methods in Electrical Machine Design 1 1.1 Electromagnetic
Principles 1 1.2 Numerical Solution 8 1.3 The Most Common Principles
Applied to Analytic Calculation 12 1.3.1 Flux Line Diagrams 16 1.3.2 Flux
Diagrams for Current-Carrying Areas 22 1.4 Application of the Principle of
Virtual Work in the Determination of Force and Torque 25 1.5 Maxwell's
Stress Tensor; Radial and Tangential Stress 32 1.6 Self-Inductance and
Mutual Inductance 36 1.7 Per Unit Values 42 1.8 Phasor Diagrams 45
Bibliography 47 2 Windings of Electrical Machines 48 2.1 Basic Principles
49 2.1.1 Salient-Pole Windings 49 2.1.2 Slot Windings 53 2.1.3 End Windings
54 2.2 Phase Windings 54 2.3 Three-Phase Integral Slot Stator Winding 57
2.4 Voltage Phasor Diagram and Winding Factor 64 2.5 Winding Analysis 72
2.6 Short Pitching 74 2.7 Current Linkage of a Slot Winding 81 2.8
Poly-Phase Fractional Slot Windings 94 2.9 Phase Systems and Zones of
Windings 97 2.9.1 Phase Systems 97 2.9.2 Zones of Windings 99 2.10 Symmetry
Conditions 101 2.10.1 Symmetrical Fractional Slot Windings 101 2.11 Base
Windings 104 2.11.1 First-Grade Fractional Slot Base Windings 104 2.11.2
Second-Grade Fractional Slot Base Windings 105 2.11.3 Integral Slot Base
Windings 106 2.12 Fractional Slot Windings 108 2.12.1 Single-Layer
Fractional Slot Windings 108 2.12.2 Double-Layer Fractional Slot Windings
117 2.13 Single- and Double-Phase Windings 124 2.14 Windings Permitting a
Varying Number of Poles 127 2.15 Commutator Windings 129 2.15.1 Lap Winding
Principles 133 2.15.2 Wave Winding Principles 136 2.15.3 Commutator Winding
Examples, Balancing Connectors 139 2.15.4 AC Commutator Windings 143 2.15.5
Current Linkage of the Commutator Winding and Armature Reaction 144 2.16
Compensating Windings and Commutating Poles 146 2.17 Rotor Windings of
Asynchronous Machines 149 2.18 Damper Windings 152 Bibliography 153 3
Design of Magnetic Circuits 155 3.1 Air Gap and its Magnetic Voltage 161
3.1.1 Air Gap and Carter Factor 161 3.1.2 Air Gaps of a Salient-Pole
Machine 166 3.1.3 Air Gap of Nonsalient-Pole Machine 172 3.2 Equivalent
Core Length 173 3.3 Magnetic Voltage of a Tooth and a Salient Pole 176
3.3.1 Magnetic Voltage of a Tooth 176 3.3.2 Magnetic Voltage of a Salient
Pole 180 3.4 Magnetic Voltage of Stator and Rotor Yokes 180 3.5 No-Load
Curve, Equivalent Air Gap and Magnetizing Current of the Machine 183 3.6
Magnetic Materials of a Rotating Machine 186 3.6.1 Characteristics of
Ferromagnetic Materials 189 3.6.2 Losses in Iron Circuits 194 3.7 Permanent
Magnets in Rotating Machines 203 3.7.1 History and Development of Permanent
Magnets 203 3.7.2 Characteristics of Permanent Magnet Materials 205 3.7.3
Operating Point of a Permanent Magnet Circuit 210 3.7.4 Demagnetization of
Permanent Magnets 217 3.7.5 Application of Permanent Magnets in Electrical
Machines 219 3.8 Assembly of Iron Stacks 226 Bibliography 227 4 Inductances
229 4.1 Magnetizing Inductance 230 4.2 Leakage Inductances 233 4.2.1
Division of Leakage Flux Components 235 4.3 Calculation of Flux Leakage 238
4.3.1 Skewing Factor and Skew Leakage Inductance 239 4.3.2 Air-Gap Leakage
Inductance 243 4.3.3 Slot Leakage Inductance 248 4.3.4 Tooth Tip Leakage
Inductance 259 4.3.5 End Winding Leakage Inductance 260 Bibliography 264 5
Resistances 265 5.1 DC Resistance 265 5.2 Influence of Skin Effect on
Resistance 266 5.2.1 Analytical Calculation of Resistance Factor 266 5.2.2
Critical Conductor Height in Slot 276 5.2.3 Methods to Limit the Skin
Effect 277 5.2.4 Inductance Factor 278 5.2.5 Calculation of Skin Effect in
Slots Using Circuit Analysis 279 5.2.6 Double-Sided Skin Effect 287
Bibliography 292 6 Design Process of Rotating Electrical Machines 293 6.1
Eco-Design Principles of Rotating Electrical Machines 293 6.2 Design
Process of a Rotating Electrical Machine 294 6.2.1 Starting Values 294
6.2.2 Main Dimensions 297 6.2.3 Air Gap 305 6.2.4 Winding Selection 309
6.2.5 Air-Gap Flux Density 310 6.2.6 The No-Load Flux of an Electrical
Machine and the Number of Winding Turns 311 6.2.7 New Air-Gap Flux Density
316 6.2.8 Determination of Tooth Width 317 6.2.9 Determination of Slot
Dimensions 318 6.2.10 Determination of the Magnetic Voltages of the Air
Gap, and the Stator and Rotor Teeth 323 6.2.11 Determination of New
Saturation Factor 326 6.2.12 Determination of Stator and Rotor Yoke Heights
and Magnetic Voltages 326 6.2.13 Magnetizing Winding 327 6.2.14
Determination of Stator Outer and Rotor Inner Diameter 329 6.2.15
Calculation of Machine Characteristics 329 Bibliography 330 7 Properties of
Rotating Electrical Machines 331 7.1 Machine Size, Speed, Different
Loadings and Efficiency 331 7.1.1 Machine Size and Speed 331 7.1.2
Mechanical Loadability 333 7.1.3 Electrical Loadability 337 7.1.4 Magnetic
Loadability 338 7.1.5 Efficiency 340 7.2 Asynchronous Motor 342 7.2.1
Current Linkage and Torque Production of an Asynchronous Machine 342 7.2.2
Impedance and Current Linkage of a Cage Winding 349 7.2.3 Characteristics
of an Induction Machine 356 7.2.4 Equivalent Circuit Taking Asynchronous
Torques and Harmonics into Account 361 7.2.5 Synchronous Torques 367 7.2.6
Selection of the Slot Number of a Cage Winding 369 7.2.7 Construction of an
Induction Motor 371 7.2.8 Cooling and Duty Types 373 7.2.9 Examples of the
Parameters of Three-Phase Industrial Induction Motors 378 7.2.10
Asynchronous Generator 380 7.2.11 Wound Rotor Induction Machine 382 7.2.12
Asynchronous Motor Supplied with Single-Phase Current 383 7.3 Synchronous
Machines 388 7.3.1 Inductances of a Synchronous Machine in Synchronous
Operation and in Transients 390 7.3.2 Loaded Synchronous Machine and Load
Angle Equation 400 7.3.3 RMS Value Phasor Diagrams of a Synchronous Machine
407 7.3.4 No-Load Curve and Short-Circuit Test 417 7.3.5 Asynchronous Drive
419 7.3.6 Asymmetric-Load-Caused Damper Currents 423 7.3.7 Shift of Damper
Bar Slotting from the Symmetry Axis of the Pole 424 7.3.8 V Curve of a
Synchronous Machine 426 7.3.9 Excitation Methods of a Synchronous Machine
426 7.3.10 Permanent Magnet Synchronous Machines 427 7.3.11 Synchronous
Reluctance Machines 456 7.4 DC Machines 468 7.4.1 Configuration of DC
Machines 468 7.4.2 Operation and Voltage of a DC Machine 470 7.4.3 Armature
Reaction of a DC machine and Machine Design 474 7.4.4 Commutation 475 7.5
Doubly Salient Reluctance Machine 479 7.5.1 Operating Principle of a Doubly
Salient Reluctance Machine 479 7.5.2 Torque of an SR Machine 480 7.5.3
Operation of an SR Machine 481 7.5.4 Basic Terminology, Phase Number and
Dimensioning of an SR Machine 485 7.5.5 Control Systems of an SR Motor 489
7.5.6 Future Scenarios for SR Machines 491 Bibliography 492 8 Insulation of
Electrical Machines 495 8.1 Insulation of Rotating Electrical Machines 497
8.2 Impregnation Varnishes and Resins 503 8.3 Dimensioning of an Insulation
506 8.4 Electrical Reactions Ageing Insulation 509 8.5 Practical Insulation
Constructions 510 8.5.1 Slot Insulations of Low-Voltage Machines 511 8.5.2
Coil End Insulations of Low-Voltage Machines 512 8.5.3 Pole Winding
Insulations 512 8.5.4 Low-Voltage Machine Impregnation 513 8.5.5 Insulation
of High-Voltage Machines 513 8.6 Condition Monitoring of Insulation 515 8.7
Insulation in Frequency Converter Drives 518 Bibliography 521 9 Losses and
Heat Transfer 523 9.1 Losses 524 9.1.1 Resistive Losses 524 9.1.2 Iron
Losses 526 9.1.3 Additional Losses 526 9.1.4 Mechanical Losses 527 9.1.5
Decreasing Losses 529 9.1.6 Economics of Energy Savings 533 9.2 Heat
Removal 534 9.2.1 Conduction 534 9.2.2 Radiation 538 9.2.3 Convection 541
9.3 Thermal Equivalent Circuit 548 9.3.1 Analogy between Electrical and
Thermal Quantities 548 9.3.2 Average Thermal Conductivity of a Winding 549
9.3.3 Thermal Equivalent Circuit of an Electrical Machine 550 9.3.4
Modeling of Coolant Flow 560 9.3.5 Solution of Equivalent Circuit 565 9.3.6
Cooling Flow Rate 568 Bibliography 568 Appendix A 570 Appendix B 572 Index
575
Laws and Methods in Electrical Machine Design 1 1.1 Electromagnetic
Principles 1 1.2 Numerical Solution 8 1.3 The Most Common Principles
Applied to Analytic Calculation 12 1.3.1 Flux Line Diagrams 16 1.3.2 Flux
Diagrams for Current-Carrying Areas 22 1.4 Application of the Principle of
Virtual Work in the Determination of Force and Torque 25 1.5 Maxwell's
Stress Tensor; Radial and Tangential Stress 32 1.6 Self-Inductance and
Mutual Inductance 36 1.7 Per Unit Values 42 1.8 Phasor Diagrams 45
Bibliography 47 2 Windings of Electrical Machines 48 2.1 Basic Principles
49 2.1.1 Salient-Pole Windings 49 2.1.2 Slot Windings 53 2.1.3 End Windings
54 2.2 Phase Windings 54 2.3 Three-Phase Integral Slot Stator Winding 57
2.4 Voltage Phasor Diagram and Winding Factor 64 2.5 Winding Analysis 72
2.6 Short Pitching 74 2.7 Current Linkage of a Slot Winding 81 2.8
Poly-Phase Fractional Slot Windings 94 2.9 Phase Systems and Zones of
Windings 97 2.9.1 Phase Systems 97 2.9.2 Zones of Windings 99 2.10 Symmetry
Conditions 101 2.10.1 Symmetrical Fractional Slot Windings 101 2.11 Base
Windings 104 2.11.1 First-Grade Fractional Slot Base Windings 104 2.11.2
Second-Grade Fractional Slot Base Windings 105 2.11.3 Integral Slot Base
Windings 106 2.12 Fractional Slot Windings 108 2.12.1 Single-Layer
Fractional Slot Windings 108 2.12.2 Double-Layer Fractional Slot Windings
117 2.13 Single- and Double-Phase Windings 124 2.14 Windings Permitting a
Varying Number of Poles 127 2.15 Commutator Windings 129 2.15.1 Lap Winding
Principles 133 2.15.2 Wave Winding Principles 136 2.15.3 Commutator Winding
Examples, Balancing Connectors 139 2.15.4 AC Commutator Windings 143 2.15.5
Current Linkage of the Commutator Winding and Armature Reaction 144 2.16
Compensating Windings and Commutating Poles 146 2.17 Rotor Windings of
Asynchronous Machines 149 2.18 Damper Windings 152 Bibliography 153 3
Design of Magnetic Circuits 155 3.1 Air Gap and its Magnetic Voltage 161
3.1.1 Air Gap and Carter Factor 161 3.1.2 Air Gaps of a Salient-Pole
Machine 166 3.1.3 Air Gap of Nonsalient-Pole Machine 172 3.2 Equivalent
Core Length 173 3.3 Magnetic Voltage of a Tooth and a Salient Pole 176
3.3.1 Magnetic Voltage of a Tooth 176 3.3.2 Magnetic Voltage of a Salient
Pole 180 3.4 Magnetic Voltage of Stator and Rotor Yokes 180 3.5 No-Load
Curve, Equivalent Air Gap and Magnetizing Current of the Machine 183 3.6
Magnetic Materials of a Rotating Machine 186 3.6.1 Characteristics of
Ferromagnetic Materials 189 3.6.2 Losses in Iron Circuits 194 3.7 Permanent
Magnets in Rotating Machines 203 3.7.1 History and Development of Permanent
Magnets 203 3.7.2 Characteristics of Permanent Magnet Materials 205 3.7.3
Operating Point of a Permanent Magnet Circuit 210 3.7.4 Demagnetization of
Permanent Magnets 217 3.7.5 Application of Permanent Magnets in Electrical
Machines 219 3.8 Assembly of Iron Stacks 226 Bibliography 227 4 Inductances
229 4.1 Magnetizing Inductance 230 4.2 Leakage Inductances 233 4.2.1
Division of Leakage Flux Components 235 4.3 Calculation of Flux Leakage 238
4.3.1 Skewing Factor and Skew Leakage Inductance 239 4.3.2 Air-Gap Leakage
Inductance 243 4.3.3 Slot Leakage Inductance 248 4.3.4 Tooth Tip Leakage
Inductance 259 4.3.5 End Winding Leakage Inductance 260 Bibliography 264 5
Resistances 265 5.1 DC Resistance 265 5.2 Influence of Skin Effect on
Resistance 266 5.2.1 Analytical Calculation of Resistance Factor 266 5.2.2
Critical Conductor Height in Slot 276 5.2.3 Methods to Limit the Skin
Effect 277 5.2.4 Inductance Factor 278 5.2.5 Calculation of Skin Effect in
Slots Using Circuit Analysis 279 5.2.6 Double-Sided Skin Effect 287
Bibliography 292 6 Design Process of Rotating Electrical Machines 293 6.1
Eco-Design Principles of Rotating Electrical Machines 293 6.2 Design
Process of a Rotating Electrical Machine 294 6.2.1 Starting Values 294
6.2.2 Main Dimensions 297 6.2.3 Air Gap 305 6.2.4 Winding Selection 309
6.2.5 Air-Gap Flux Density 310 6.2.6 The No-Load Flux of an Electrical
Machine and the Number of Winding Turns 311 6.2.7 New Air-Gap Flux Density
316 6.2.8 Determination of Tooth Width 317 6.2.9 Determination of Slot
Dimensions 318 6.2.10 Determination of the Magnetic Voltages of the Air
Gap, and the Stator and Rotor Teeth 323 6.2.11 Determination of New
Saturation Factor 326 6.2.12 Determination of Stator and Rotor Yoke Heights
and Magnetic Voltages 326 6.2.13 Magnetizing Winding 327 6.2.14
Determination of Stator Outer and Rotor Inner Diameter 329 6.2.15
Calculation of Machine Characteristics 329 Bibliography 330 7 Properties of
Rotating Electrical Machines 331 7.1 Machine Size, Speed, Different
Loadings and Efficiency 331 7.1.1 Machine Size and Speed 331 7.1.2
Mechanical Loadability 333 7.1.3 Electrical Loadability 337 7.1.4 Magnetic
Loadability 338 7.1.5 Efficiency 340 7.2 Asynchronous Motor 342 7.2.1
Current Linkage and Torque Production of an Asynchronous Machine 342 7.2.2
Impedance and Current Linkage of a Cage Winding 349 7.2.3 Characteristics
of an Induction Machine 356 7.2.4 Equivalent Circuit Taking Asynchronous
Torques and Harmonics into Account 361 7.2.5 Synchronous Torques 367 7.2.6
Selection of the Slot Number of a Cage Winding 369 7.2.7 Construction of an
Induction Motor 371 7.2.8 Cooling and Duty Types 373 7.2.9 Examples of the
Parameters of Three-Phase Industrial Induction Motors 378 7.2.10
Asynchronous Generator 380 7.2.11 Wound Rotor Induction Machine 382 7.2.12
Asynchronous Motor Supplied with Single-Phase Current 383 7.3 Synchronous
Machines 388 7.3.1 Inductances of a Synchronous Machine in Synchronous
Operation and in Transients 390 7.3.2 Loaded Synchronous Machine and Load
Angle Equation 400 7.3.3 RMS Value Phasor Diagrams of a Synchronous Machine
407 7.3.4 No-Load Curve and Short-Circuit Test 417 7.3.5 Asynchronous Drive
419 7.3.6 Asymmetric-Load-Caused Damper Currents 423 7.3.7 Shift of Damper
Bar Slotting from the Symmetry Axis of the Pole 424 7.3.8 V Curve of a
Synchronous Machine 426 7.3.9 Excitation Methods of a Synchronous Machine
426 7.3.10 Permanent Magnet Synchronous Machines 427 7.3.11 Synchronous
Reluctance Machines 456 7.4 DC Machines 468 7.4.1 Configuration of DC
Machines 468 7.4.2 Operation and Voltage of a DC Machine 470 7.4.3 Armature
Reaction of a DC machine and Machine Design 474 7.4.4 Commutation 475 7.5
Doubly Salient Reluctance Machine 479 7.5.1 Operating Principle of a Doubly
Salient Reluctance Machine 479 7.5.2 Torque of an SR Machine 480 7.5.3
Operation of an SR Machine 481 7.5.4 Basic Terminology, Phase Number and
Dimensioning of an SR Machine 485 7.5.5 Control Systems of an SR Motor 489
7.5.6 Future Scenarios for SR Machines 491 Bibliography 492 8 Insulation of
Electrical Machines 495 8.1 Insulation of Rotating Electrical Machines 497
8.2 Impregnation Varnishes and Resins 503 8.3 Dimensioning of an Insulation
506 8.4 Electrical Reactions Ageing Insulation 509 8.5 Practical Insulation
Constructions 510 8.5.1 Slot Insulations of Low-Voltage Machines 511 8.5.2
Coil End Insulations of Low-Voltage Machines 512 8.5.3 Pole Winding
Insulations 512 8.5.4 Low-Voltage Machine Impregnation 513 8.5.5 Insulation
of High-Voltage Machines 513 8.6 Condition Monitoring of Insulation 515 8.7
Insulation in Frequency Converter Drives 518 Bibliography 521 9 Losses and
Heat Transfer 523 9.1 Losses 524 9.1.1 Resistive Losses 524 9.1.2 Iron
Losses 526 9.1.3 Additional Losses 526 9.1.4 Mechanical Losses 527 9.1.5
Decreasing Losses 529 9.1.6 Economics of Energy Savings 533 9.2 Heat
Removal 534 9.2.1 Conduction 534 9.2.2 Radiation 538 9.2.3 Convection 541
9.3 Thermal Equivalent Circuit 548 9.3.1 Analogy between Electrical and
Thermal Quantities 548 9.3.2 Average Thermal Conductivity of a Winding 549
9.3.3 Thermal Equivalent Circuit of an Electrical Machine 550 9.3.4
Modeling of Coolant Flow 560 9.3.5 Solution of Equivalent Circuit 565 9.3.6
Cooling Flow Rate 568 Bibliography 568 Appendix A 570 Appendix B 572 Index
575
Preface xi About the Authors xiii Abbreviations and Symbols xv 1 Principal
Laws and Methods in Electrical Machine Design 1 1.1 Electromagnetic
Principles 1 1.2 Numerical Solution 8 1.3 The Most Common Principles
Applied to Analytic Calculation 12 1.3.1 Flux Line Diagrams 16 1.3.2 Flux
Diagrams for Current-Carrying Areas 22 1.4 Application of the Principle of
Virtual Work in the Determination of Force and Torque 25 1.5 Maxwell's
Stress Tensor; Radial and Tangential Stress 32 1.6 Self-Inductance and
Mutual Inductance 36 1.7 Per Unit Values 42 1.8 Phasor Diagrams 45
Bibliography 47 2 Windings of Electrical Machines 48 2.1 Basic Principles
49 2.1.1 Salient-Pole Windings 49 2.1.2 Slot Windings 53 2.1.3 End Windings
54 2.2 Phase Windings 54 2.3 Three-Phase Integral Slot Stator Winding 57
2.4 Voltage Phasor Diagram and Winding Factor 64 2.5 Winding Analysis 72
2.6 Short Pitching 74 2.7 Current Linkage of a Slot Winding 81 2.8
Poly-Phase Fractional Slot Windings 94 2.9 Phase Systems and Zones of
Windings 97 2.9.1 Phase Systems 97 2.9.2 Zones of Windings 99 2.10 Symmetry
Conditions 101 2.10.1 Symmetrical Fractional Slot Windings 101 2.11 Base
Windings 104 2.11.1 First-Grade Fractional Slot Base Windings 104 2.11.2
Second-Grade Fractional Slot Base Windings 105 2.11.3 Integral Slot Base
Windings 106 2.12 Fractional Slot Windings 108 2.12.1 Single-Layer
Fractional Slot Windings 108 2.12.2 Double-Layer Fractional Slot Windings
117 2.13 Single- and Double-Phase Windings 124 2.14 Windings Permitting a
Varying Number of Poles 127 2.15 Commutator Windings 129 2.15.1 Lap Winding
Principles 133 2.15.2 Wave Winding Principles 136 2.15.3 Commutator Winding
Examples, Balancing Connectors 139 2.15.4 AC Commutator Windings 143 2.15.5
Current Linkage of the Commutator Winding and Armature Reaction 144 2.16
Compensating Windings and Commutating Poles 146 2.17 Rotor Windings of
Asynchronous Machines 149 2.18 Damper Windings 152 Bibliography 153 3
Design of Magnetic Circuits 155 3.1 Air Gap and its Magnetic Voltage 161
3.1.1 Air Gap and Carter Factor 161 3.1.2 Air Gaps of a Salient-Pole
Machine 166 3.1.3 Air Gap of Nonsalient-Pole Machine 172 3.2 Equivalent
Core Length 173 3.3 Magnetic Voltage of a Tooth and a Salient Pole 176
3.3.1 Magnetic Voltage of a Tooth 176 3.3.2 Magnetic Voltage of a Salient
Pole 180 3.4 Magnetic Voltage of Stator and Rotor Yokes 180 3.5 No-Load
Curve, Equivalent Air Gap and Magnetizing Current of the Machine 183 3.6
Magnetic Materials of a Rotating Machine 186 3.6.1 Characteristics of
Ferromagnetic Materials 189 3.6.2 Losses in Iron Circuits 194 3.7 Permanent
Magnets in Rotating Machines 203 3.7.1 History and Development of Permanent
Magnets 203 3.7.2 Characteristics of Permanent Magnet Materials 205 3.7.3
Operating Point of a Permanent Magnet Circuit 210 3.7.4 Demagnetization of
Permanent Magnets 217 3.7.5 Application of Permanent Magnets in Electrical
Machines 219 3.8 Assembly of Iron Stacks 226 Bibliography 227 4 Inductances
229 4.1 Magnetizing Inductance 230 4.2 Leakage Inductances 233 4.2.1
Division of Leakage Flux Components 235 4.3 Calculation of Flux Leakage 238
4.3.1 Skewing Factor and Skew Leakage Inductance 239 4.3.2 Air-Gap Leakage
Inductance 243 4.3.3 Slot Leakage Inductance 248 4.3.4 Tooth Tip Leakage
Inductance 259 4.3.5 End Winding Leakage Inductance 260 Bibliography 264 5
Resistances 265 5.1 DC Resistance 265 5.2 Influence of Skin Effect on
Resistance 266 5.2.1 Analytical Calculation of Resistance Factor 266 5.2.2
Critical Conductor Height in Slot 276 5.2.3 Methods to Limit the Skin
Effect 277 5.2.4 Inductance Factor 278 5.2.5 Calculation of Skin Effect in
Slots Using Circuit Analysis 279 5.2.6 Double-Sided Skin Effect 287
Bibliography 292 6 Design Process of Rotating Electrical Machines 293 6.1
Eco-Design Principles of Rotating Electrical Machines 293 6.2 Design
Process of a Rotating Electrical Machine 294 6.2.1 Starting Values 294
6.2.2 Main Dimensions 297 6.2.3 Air Gap 305 6.2.4 Winding Selection 309
6.2.5 Air-Gap Flux Density 310 6.2.6 The No-Load Flux of an Electrical
Machine and the Number of Winding Turns 311 6.2.7 New Air-Gap Flux Density
316 6.2.8 Determination of Tooth Width 317 6.2.9 Determination of Slot
Dimensions 318 6.2.10 Determination of the Magnetic Voltages of the Air
Gap, and the Stator and Rotor Teeth 323 6.2.11 Determination of New
Saturation Factor 326 6.2.12 Determination of Stator and Rotor Yoke Heights
and Magnetic Voltages 326 6.2.13 Magnetizing Winding 327 6.2.14
Determination of Stator Outer and Rotor Inner Diameter 329 6.2.15
Calculation of Machine Characteristics 329 Bibliography 330 7 Properties of
Rotating Electrical Machines 331 7.1 Machine Size, Speed, Different
Loadings and Efficiency 331 7.1.1 Machine Size and Speed 331 7.1.2
Mechanical Loadability 333 7.1.3 Electrical Loadability 337 7.1.4 Magnetic
Loadability 338 7.1.5 Efficiency 340 7.2 Asynchronous Motor 342 7.2.1
Current Linkage and Torque Production of an Asynchronous Machine 342 7.2.2
Impedance and Current Linkage of a Cage Winding 349 7.2.3 Characteristics
of an Induction Machine 356 7.2.4 Equivalent Circuit Taking Asynchronous
Torques and Harmonics into Account 361 7.2.5 Synchronous Torques 367 7.2.6
Selection of the Slot Number of a Cage Winding 369 7.2.7 Construction of an
Induction Motor 371 7.2.8 Cooling and Duty Types 373 7.2.9 Examples of the
Parameters of Three-Phase Industrial Induction Motors 378 7.2.10
Asynchronous Generator 380 7.2.11 Wound Rotor Induction Machine 382 7.2.12
Asynchronous Motor Supplied with Single-Phase Current 383 7.3 Synchronous
Machines 388 7.3.1 Inductances of a Synchronous Machine in Synchronous
Operation and in Transients 390 7.3.2 Loaded Synchronous Machine and Load
Angle Equation 400 7.3.3 RMS Value Phasor Diagrams of a Synchronous Machine
407 7.3.4 No-Load Curve and Short-Circuit Test 417 7.3.5 Asynchronous Drive
419 7.3.6 Asymmetric-Load-Caused Damper Currents 423 7.3.7 Shift of Damper
Bar Slotting from the Symmetry Axis of the Pole 424 7.3.8 V Curve of a
Synchronous Machine 426 7.3.9 Excitation Methods of a Synchronous Machine
426 7.3.10 Permanent Magnet Synchronous Machines 427 7.3.11 Synchronous
Reluctance Machines 456 7.4 DC Machines 468 7.4.1 Configuration of DC
Machines 468 7.4.2 Operation and Voltage of a DC Machine 470 7.4.3 Armature
Reaction of a DC machine and Machine Design 474 7.4.4 Commutation 475 7.5
Doubly Salient Reluctance Machine 479 7.5.1 Operating Principle of a Doubly
Salient Reluctance Machine 479 7.5.2 Torque of an SR Machine 480 7.5.3
Operation of an SR Machine 481 7.5.4 Basic Terminology, Phase Number and
Dimensioning of an SR Machine 485 7.5.5 Control Systems of an SR Motor 489
7.5.6 Future Scenarios for SR Machines 491 Bibliography 492 8 Insulation of
Electrical Machines 495 8.1 Insulation of Rotating Electrical Machines 497
8.2 Impregnation Varnishes and Resins 503 8.3 Dimensioning of an Insulation
506 8.4 Electrical Reactions Ageing Insulation 509 8.5 Practical Insulation
Constructions 510 8.5.1 Slot Insulations of Low-Voltage Machines 511 8.5.2
Coil End Insulations of Low-Voltage Machines 512 8.5.3 Pole Winding
Insulations 512 8.5.4 Low-Voltage Machine Impregnation 513 8.5.5 Insulation
of High-Voltage Machines 513 8.6 Condition Monitoring of Insulation 515 8.7
Insulation in Frequency Converter Drives 518 Bibliography 521 9 Losses and
Heat Transfer 523 9.1 Losses 524 9.1.1 Resistive Losses 524 9.1.2 Iron
Losses 526 9.1.3 Additional Losses 526 9.1.4 Mechanical Losses 527 9.1.5
Decreasing Losses 529 9.1.6 Economics of Energy Savings 533 9.2 Heat
Removal 534 9.2.1 Conduction 534 9.2.2 Radiation 538 9.2.3 Convection 541
9.3 Thermal Equivalent Circuit 548 9.3.1 Analogy between Electrical and
Thermal Quantities 548 9.3.2 Average Thermal Conductivity of a Winding 549
9.3.3 Thermal Equivalent Circuit of an Electrical Machine 550 9.3.4
Modeling of Coolant Flow 560 9.3.5 Solution of Equivalent Circuit 565 9.3.6
Cooling Flow Rate 568 Bibliography 568 Appendix A 570 Appendix B 572 Index
575
Laws and Methods in Electrical Machine Design 1 1.1 Electromagnetic
Principles 1 1.2 Numerical Solution 8 1.3 The Most Common Principles
Applied to Analytic Calculation 12 1.3.1 Flux Line Diagrams 16 1.3.2 Flux
Diagrams for Current-Carrying Areas 22 1.4 Application of the Principle of
Virtual Work in the Determination of Force and Torque 25 1.5 Maxwell's
Stress Tensor; Radial and Tangential Stress 32 1.6 Self-Inductance and
Mutual Inductance 36 1.7 Per Unit Values 42 1.8 Phasor Diagrams 45
Bibliography 47 2 Windings of Electrical Machines 48 2.1 Basic Principles
49 2.1.1 Salient-Pole Windings 49 2.1.2 Slot Windings 53 2.1.3 End Windings
54 2.2 Phase Windings 54 2.3 Three-Phase Integral Slot Stator Winding 57
2.4 Voltage Phasor Diagram and Winding Factor 64 2.5 Winding Analysis 72
2.6 Short Pitching 74 2.7 Current Linkage of a Slot Winding 81 2.8
Poly-Phase Fractional Slot Windings 94 2.9 Phase Systems and Zones of
Windings 97 2.9.1 Phase Systems 97 2.9.2 Zones of Windings 99 2.10 Symmetry
Conditions 101 2.10.1 Symmetrical Fractional Slot Windings 101 2.11 Base
Windings 104 2.11.1 First-Grade Fractional Slot Base Windings 104 2.11.2
Second-Grade Fractional Slot Base Windings 105 2.11.3 Integral Slot Base
Windings 106 2.12 Fractional Slot Windings 108 2.12.1 Single-Layer
Fractional Slot Windings 108 2.12.2 Double-Layer Fractional Slot Windings
117 2.13 Single- and Double-Phase Windings 124 2.14 Windings Permitting a
Varying Number of Poles 127 2.15 Commutator Windings 129 2.15.1 Lap Winding
Principles 133 2.15.2 Wave Winding Principles 136 2.15.3 Commutator Winding
Examples, Balancing Connectors 139 2.15.4 AC Commutator Windings 143 2.15.5
Current Linkage of the Commutator Winding and Armature Reaction 144 2.16
Compensating Windings and Commutating Poles 146 2.17 Rotor Windings of
Asynchronous Machines 149 2.18 Damper Windings 152 Bibliography 153 3
Design of Magnetic Circuits 155 3.1 Air Gap and its Magnetic Voltage 161
3.1.1 Air Gap and Carter Factor 161 3.1.2 Air Gaps of a Salient-Pole
Machine 166 3.1.3 Air Gap of Nonsalient-Pole Machine 172 3.2 Equivalent
Core Length 173 3.3 Magnetic Voltage of a Tooth and a Salient Pole 176
3.3.1 Magnetic Voltage of a Tooth 176 3.3.2 Magnetic Voltage of a Salient
Pole 180 3.4 Magnetic Voltage of Stator and Rotor Yokes 180 3.5 No-Load
Curve, Equivalent Air Gap and Magnetizing Current of the Machine 183 3.6
Magnetic Materials of a Rotating Machine 186 3.6.1 Characteristics of
Ferromagnetic Materials 189 3.6.2 Losses in Iron Circuits 194 3.7 Permanent
Magnets in Rotating Machines 203 3.7.1 History and Development of Permanent
Magnets 203 3.7.2 Characteristics of Permanent Magnet Materials 205 3.7.3
Operating Point of a Permanent Magnet Circuit 210 3.7.4 Demagnetization of
Permanent Magnets 217 3.7.5 Application of Permanent Magnets in Electrical
Machines 219 3.8 Assembly of Iron Stacks 226 Bibliography 227 4 Inductances
229 4.1 Magnetizing Inductance 230 4.2 Leakage Inductances 233 4.2.1
Division of Leakage Flux Components 235 4.3 Calculation of Flux Leakage 238
4.3.1 Skewing Factor and Skew Leakage Inductance 239 4.3.2 Air-Gap Leakage
Inductance 243 4.3.3 Slot Leakage Inductance 248 4.3.4 Tooth Tip Leakage
Inductance 259 4.3.5 End Winding Leakage Inductance 260 Bibliography 264 5
Resistances 265 5.1 DC Resistance 265 5.2 Influence of Skin Effect on
Resistance 266 5.2.1 Analytical Calculation of Resistance Factor 266 5.2.2
Critical Conductor Height in Slot 276 5.2.3 Methods to Limit the Skin
Effect 277 5.2.4 Inductance Factor 278 5.2.5 Calculation of Skin Effect in
Slots Using Circuit Analysis 279 5.2.6 Double-Sided Skin Effect 287
Bibliography 292 6 Design Process of Rotating Electrical Machines 293 6.1
Eco-Design Principles of Rotating Electrical Machines 293 6.2 Design
Process of a Rotating Electrical Machine 294 6.2.1 Starting Values 294
6.2.2 Main Dimensions 297 6.2.3 Air Gap 305 6.2.4 Winding Selection 309
6.2.5 Air-Gap Flux Density 310 6.2.6 The No-Load Flux of an Electrical
Machine and the Number of Winding Turns 311 6.2.7 New Air-Gap Flux Density
316 6.2.8 Determination of Tooth Width 317 6.2.9 Determination of Slot
Dimensions 318 6.2.10 Determination of the Magnetic Voltages of the Air
Gap, and the Stator and Rotor Teeth 323 6.2.11 Determination of New
Saturation Factor 326 6.2.12 Determination of Stator and Rotor Yoke Heights
and Magnetic Voltages 326 6.2.13 Magnetizing Winding 327 6.2.14
Determination of Stator Outer and Rotor Inner Diameter 329 6.2.15
Calculation of Machine Characteristics 329 Bibliography 330 7 Properties of
Rotating Electrical Machines 331 7.1 Machine Size, Speed, Different
Loadings and Efficiency 331 7.1.1 Machine Size and Speed 331 7.1.2
Mechanical Loadability 333 7.1.3 Electrical Loadability 337 7.1.4 Magnetic
Loadability 338 7.1.5 Efficiency 340 7.2 Asynchronous Motor 342 7.2.1
Current Linkage and Torque Production of an Asynchronous Machine 342 7.2.2
Impedance and Current Linkage of a Cage Winding 349 7.2.3 Characteristics
of an Induction Machine 356 7.2.4 Equivalent Circuit Taking Asynchronous
Torques and Harmonics into Account 361 7.2.5 Synchronous Torques 367 7.2.6
Selection of the Slot Number of a Cage Winding 369 7.2.7 Construction of an
Induction Motor 371 7.2.8 Cooling and Duty Types 373 7.2.9 Examples of the
Parameters of Three-Phase Industrial Induction Motors 378 7.2.10
Asynchronous Generator 380 7.2.11 Wound Rotor Induction Machine 382 7.2.12
Asynchronous Motor Supplied with Single-Phase Current 383 7.3 Synchronous
Machines 388 7.3.1 Inductances of a Synchronous Machine in Synchronous
Operation and in Transients 390 7.3.2 Loaded Synchronous Machine and Load
Angle Equation 400 7.3.3 RMS Value Phasor Diagrams of a Synchronous Machine
407 7.3.4 No-Load Curve and Short-Circuit Test 417 7.3.5 Asynchronous Drive
419 7.3.6 Asymmetric-Load-Caused Damper Currents 423 7.3.7 Shift of Damper
Bar Slotting from the Symmetry Axis of the Pole 424 7.3.8 V Curve of a
Synchronous Machine 426 7.3.9 Excitation Methods of a Synchronous Machine
426 7.3.10 Permanent Magnet Synchronous Machines 427 7.3.11 Synchronous
Reluctance Machines 456 7.4 DC Machines 468 7.4.1 Configuration of DC
Machines 468 7.4.2 Operation and Voltage of a DC Machine 470 7.4.3 Armature
Reaction of a DC machine and Machine Design 474 7.4.4 Commutation 475 7.5
Doubly Salient Reluctance Machine 479 7.5.1 Operating Principle of a Doubly
Salient Reluctance Machine 479 7.5.2 Torque of an SR Machine 480 7.5.3
Operation of an SR Machine 481 7.5.4 Basic Terminology, Phase Number and
Dimensioning of an SR Machine 485 7.5.5 Control Systems of an SR Motor 489
7.5.6 Future Scenarios for SR Machines 491 Bibliography 492 8 Insulation of
Electrical Machines 495 8.1 Insulation of Rotating Electrical Machines 497
8.2 Impregnation Varnishes and Resins 503 8.3 Dimensioning of an Insulation
506 8.4 Electrical Reactions Ageing Insulation 509 8.5 Practical Insulation
Constructions 510 8.5.1 Slot Insulations of Low-Voltage Machines 511 8.5.2
Coil End Insulations of Low-Voltage Machines 512 8.5.3 Pole Winding
Insulations 512 8.5.4 Low-Voltage Machine Impregnation 513 8.5.5 Insulation
of High-Voltage Machines 513 8.6 Condition Monitoring of Insulation 515 8.7
Insulation in Frequency Converter Drives 518 Bibliography 521 9 Losses and
Heat Transfer 523 9.1 Losses 524 9.1.1 Resistive Losses 524 9.1.2 Iron
Losses 526 9.1.3 Additional Losses 526 9.1.4 Mechanical Losses 527 9.1.5
Decreasing Losses 529 9.1.6 Economics of Energy Savings 533 9.2 Heat
Removal 534 9.2.1 Conduction 534 9.2.2 Radiation 538 9.2.3 Convection 541
9.3 Thermal Equivalent Circuit 548 9.3.1 Analogy between Electrical and
Thermal Quantities 548 9.3.2 Average Thermal Conductivity of a Winding 549
9.3.3 Thermal Equivalent Circuit of an Electrical Machine 550 9.3.4
Modeling of Coolant Flow 560 9.3.5 Solution of Equivalent Circuit 565 9.3.6
Cooling Flow Rate 568 Bibliography 568 Appendix A 570 Appendix B 572 Index
575