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Electric Powertrain

Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles

Hayes, John G. / Goodarzi, G. Abas


1. Auflage Januar 2018
560 Seiten, Hardcover
Wiley & Sons Ltd

ISBN: 978-1-119-06364-3
John Wiley & Sons

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The why, what and how of the electric vehicle powertrain

Empowers engineering professionals and students with the knowledge and skills required to engineer electric vehicle powertrain architectures, energy storage systems, power electronics converters and electric drives.

The modern electric powertrain is relatively new for the automotive industry, and engineers are challenged with designing affordable, efficient and high-performance electric powertrains as the industry undergoes a technological evolution. Co-authored by two electric vehicle (EV) engineers with decades of experience designing and putting into production all of the powertrain technologies presented, this book provides readers with the hands-on knowledge, skills and expertise they need to rise to that challenge.

This four-part practical guide provides a comprehensive review of battery, hybrid and fuel cell EV systems and the associated energy sources, power electronics, machines, and drives. The first part of the book begins with a historical overview of electromobility and the related environmental impacts motivating the development of the electric powertrain. Vehicular requirements for electromechanical propulsion are then presented. Battery electric vehicles (BEV), fuel cell electric vehicles (FCEV), and conventional and hybrid electric vehicles (HEV) are then described, contrasted and compared for vehicle propulsion. The second part of the book features in-depth analysis of the electric powertrain traction machines, with a particular focus on the induction machine and the surface- and interior-permanent magnet ac machines. The brushed dc machine is also considered due to its ease of operation and understanding, and its historical place, especially as the traction machine on NASA's Mars rovers. The third part of the book features the theory and applications for the propulsion, charging, accessory, and auxiliary power electronics converters. Chapters are presented on isolated and non-isolated dc-dc converters, traction inverters, and battery charging. The fourth part presents the introductory and applied electromagnetism required as a foundation throughout the book.

* Introduces and holistically integrates the key EV powertrain technologies.
* Provides a comprehensive overview of existing and emerging automotive solutions.
* Provides experience-based expertise for vehicular and powertrain system and sub-system level study, design, and optimization.
* Presents many examples of powertrain technologies from leading manufacturers.
* Discusses the dc traction machines of the Mars rovers, the ultimate EVs from NASA.
* Investigates the environmental motivating factors and impacts of electromobility.
* Presents a structured university teaching stream from introductory undergraduate to postgraduate.
* Includes real-world problems and assignments of use to design engineers, researchers, and students alike.
* Features a companion website with numerous references, problems, solutions, and practical assignments.
* Includes introductory material throughout the book for the general scientific reader.
* Contains essential reading for government regulators and policy makers.

Electric Powertrain: Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles is an important professional resource for practitioners and researchers in the battery, hybrid, and fuel cell EV transportation industry. The book is a structured holistic textbook for the teaching of the fundamental theories and applications of energy sources, power electronics, and electric machines and drives to engineering undergraduate and postgraduate students.

Textbook Structure and Suggested Teaching Curriculum
This is primarily an engineering textbook covering the automotive powertrain, energy storage and energy conversion, power electronics, and electrical machines. A significant additional focus is placed on the engineering design, the energy for transportation, and the related environmental impacts. This textbook is an educational tool for practicing engineers and others, such as transportation policy planners and regulators. The modern automobile is used as the vehicle upon which to base the theory and applications, which makes the book a useful educational reference for our industry colleagues, from chemists to engineers. This material is also written to be of interest to the general reader, who may have little or no interest in the power electronics and machines. Introductory science, mathematics, and an inquiring mind suffice for some chapters. The general reader can read the introduction to each of the chapters and move to the next as soon as the material gets too advanced for him or her.

Part I Vehicles and Energy Sources
Chapter 1 Electromobility and the Environment
Chapter 2 Vehicle Dynamics
Chapter 3 Batteries
Chapter 4 Fuel Cells
Chapter 5 Conventional and Hybrid Powertrains
Part II Electrical Machines
Chapter 6 Introduction to Traction Machines
Chapter 7 The Brushed DC Machine
Chapter 8 Induction Machines
Chapter 9 Surface-permanent-magnet AC Machines
Chapter 10: Interior-permanent-magnet AC Machines
Part III Power Electronics
Chapter 11 DC-DC Converters
Chapter 12 Isolated DC-DC Converters
Chapter 13 Traction Drives and Three-phase Inverters
Chapter 14 Battery Charging
Chapter 15 Control of the Electric Drive
Part IV Basics
Chapter 16 Introduction to Electromagnetism, Ferromagnetism, and Electromechanical Energy Conversion

The first third of the book (Chapters 1 to 6), plus parts of Chapters 14 and 16, can be taught to the general science or engineering student in the second or third year. It covers the introductory automotive material using basic concepts from mechanical, electrical, environmental, and electrochemical engineering. Chapter 14 on electrical charging and Chapter 16 on electromagnetism can also be used as a general introduction to electrical engineering.

The basics of electromagnetism, ferromagnetism and electromechanical energy conversion (Chapter 16) and dc machines (Chapter 7) can be taught to second year (sophomore) engineering students who have completed introductory electrical circuits and physics.

The third year (junior) students typically have covered ac circuit analysis, and so they can cover ac machines, such as the induction machine (Chapter 8) and the surface permanent-magnet ac machine (Chapter 9). As the students typically have studied control theory, they can investigate the control of the speed and torque loops of the motor drive (Chapter 15). Power electronics, featuring non-isolated buck and boost converters (Chapter 11), can also be introduced in the third year.

The final-year (senior) students can then go on to cover the more advanced technologies of the interior-permanent-magnet ac machine (Chapter 10). Isolated power converters (Chapter 12), such as the full-bridge and resonant converters, inverters (Chapter 13), and power-factor-corrected battery chargers (Chapter 14), are covered in the power electronics section. This material can also be covered at the introductory postgraduate level. Various homework, simulation, and research exercises are presented throughout the textbook.

The reader is encouraged to attempt these exercises as part of the learning experience. Instructors are encouraged to contact the author, John Hayes, direct to discuss course content or structure.


Preface xix

Acknowledgments xxi

Textbook Structure and Suggested Teaching Curriculum xxii

About the Companion Web Site xxiv

Part 1 Vehicles and Energy Sources 1

1 Electromobility and the Environment 3

1.1 A Brief History of the Electric Powertrain 4

1.1.1 Part I - The Birth of the Electric Car 4

1.1.2 Part II - The Resurgent Electric Powertrain 5

1.1.3 Part III - Success at Last for the Electric Powertrain 6

1.2 Energy Sources for Propulsion and Emissions 10

1.2.1 Carbon Emissions from Fuels 12 Example: Carbon Dioxide Emissions from the Combustion of Gasoline 12

1.2.2 Greenhouse Gases and Pollutants 13 The Impact of NOx 14

1.3 The Advent of Regulations 15

1.3.1 Regulatory Considerations and Emissions Trends 17

1.3.2 Heavy-Duty Vehicle Regulations 18

1.4 Drive Cycles 19

1.4.1 EPA Drive Cycles 19

1.5 BEV Fuel Consumption, Range, and mpge 24

1.6 Carbon Emissions for Conventional and Electric Powertrains 25

1.6.1 Well-to-Wheel and Cradle-to-Grave Emissions 27

1.6.2 Emissions due to the Electrical Grid 28 Example: Determining Electrical Grid Emissions 28

1.7 An Overview of Conventional, Battery, Hybrid, and Fuel Cell Electric Systems 29

1.7.1 Conventional IC Engine Vehicle 30

1.7.2 BEVs 30

1.7.3 HEVs 31 Series HEV 32 Parallel HEV 32 Series-Parallel HEV 33

1.7.4 FCEV 33

1.7.5 A Comparison by Efficiency of Conventional, Hybrid, Battery, and Fuel Cell Vehicles 34

1.7.6 A Case Study Comparison of Conventional, Hybrid, Battery, and Fuel Cell Vehicles 35

1.8 A Comparison of Automotive and Other Transportation Technologies 36

References 37

Further Reading 38

Problems 38

Assignments 39

2 Vehicle Dynamics 40

2.1 Vehicle Load Forces 40

2.1.1 Basic Power, Energy, and Speed Relationships 41

2.1.2 Aerodynamic Drag 42 Example: Aerodynamic Drag 43 Example: Aerodynamic Drag and Fuel Consumption 45

2.1.3 Rolling Resistance 45 The Ford Explorer Recall 45 The A-Class Mercedes in the 1990s 46 The Tesla Model S in 2013 46 Example: Rolling Resistance 46

2.1.4 Vehicle Road-Load Coefficients from EPA Coast-Down Testing 46

2.1.5 Battery Electric Vehicle Range at Constant Speed 49 Example: Plot of BEV Range Versus Speed 49 Example: Estimate of BEV Range 50 Example: Effect of Auxiliary Loads on Range 50

2.1.6 Gradability 51 Example: Downgrade Force and Regeneration 51

2.2 Vehicle Acceleration 52

2.2.1 Regenerative Braking of the Vehicle 54

2.2.2 Traction Motor Characteristics 54 Example: 2015 Nissan Leaf Rated Speed 55

2.2.3 Acceleration of the Vehicle 57 Time-Step Estimation of Vehicle Speed 57 A Simplified Equation Set for Characterizing Acceleration by Ignoring Load Forces 57

2.3 Simple Drive Cycle for Vehicle Comparisons 60

References 62

Further Reading 62

Problems 62

Assignment: Modeling of a BEV 66

3 Batteries 68

3.1 Introduction to Batteries 68

3.1.1 Batteries Types and Battery Packs 68 Recent EVs and Battery Chemistries 70

3.1.2 Basic Battery Operation 73

3.1.3 Basic Electrochemistry 74 Lead-Acid Battery 74 Nickel-Metal Hydride 75 Lithium-Ion 76

3.1.4 Units of Battery Energy Storage 76

3.1.5 Capacity Rate 77 Example of the 2011 Nissan Leaf Battery Pack 78

3.1.6 Battery Parameters and Comparisons 79 Cell Voltage 79 Specific Energy 80 Cycle Life 80 Specific Power 81 Self-Discharge 81

3.2 Lifetime and Sizing Considerations 81

3.2.1 Examples of Battery Sizing 84 Example: BEV Battery Sizing 84 Example: PHEV Battery Sizing 85

3.2.2 Battery Pack Discharge Curves and Aging 86

3.3 Battery Charging, Protection, and Management Systems 88

3.3.1 Battery Charging 88

3.3.2 Battery Failure and Protection 88

3.3.3 Battery Management System 89

3.4 Battery Models 90

3.4.1 A Simple Novel Curve Fit Model for BEV Batteries 92

3.4.2 Voltage, Current, Resistance, and Efficiency of Battery Pack 95 Example: Determining the Pack Voltage Range for a BEV 96

3.4.3 A Simple Curve-Fit Model for HEV Batteries 96 Example: Determining the Pack Voltage Range for a HEV 97

3.4.4 Charging 97 Example: Fast Charging a Battery Pack 98

3.4.5 Determining the Cell/Pack Voltage for a Given Output\Input Power 99 Example: Battery Discharge 99 Example: Battery Charge 100

3.4.6 Cell Energy and Discharge Rate 100 Example: Cell Capacity 101

3.5 Example: The Fuel Economy of a BEV Vehicle with a Fixed Gear Ratio 102

References 105

Further Reading 106

Problems 106

Appendix: A Simplified Curve-Fit Model for BEV Batteries 108

4 Fuel Cells 111

4.1 Introduction to Fuel Cells 111

4.1.1 Fuel Cell Vehicle Emissions and Upstream Emissions 113

4.1.2 Hydrogen Safety Factors 113

4.2 Basic Operation 114

4.2.1 Fuel Cell Model and Cell Voltage 116 Example: No-Load and Load Voltages of a PEM Fuel Cell 117

4.2.2 Power and Efficiency of Fuel Cell and Fuel Cell Power Plant System 118 Example: Full-Load Power and Efficiency of PEM Fuel Cell Stack 118

4.2.3 Fuel Cell Characteristic Curves 119

4.3 Sizing the Fuel Cell Plant 120

4.3.1 Example: Sizing a Fuel Cell 121

4.3.2 Toyota Mirai 121

4.3.3 Balance of Plant 121

4.3.4 Boost DC-DC Converter 122

4.4 Fuel Cell Aging 122

4.5 Example: Sizing Fuel Cell System for Heavy Goods Tractor-Trailer Combination 124

4.6 Example: Fuel Economy of Fuel Cell Electric Vehicle 126

References 129

Problems 129

Assignments 130

5 Conventional and Hybrid Powertrains 131

5.1 Introduction to HEVs 131

5.2 Brake Specific Fuel Consumption 134

5.2.1 Example: Energy Consumption, Power Output, Efficiency, and BSFC 135

5.3 Comparative Examples of Conventional, Series, and Series-Parallel Hybrid Systems 138

5.3.1 Example: Fuel Economy of IC Engine Vehicle with Gasoline or Diesel Engine 138

5.3.2 Example: Fuel Economy of Series HEV 144

5.3.3 Example: Fuel Economy of Series-Parallel HEV 146

5.3.4 Summary of Comparisons 148

5.4 The Planetary Gears as a Power-Split Device 148

5.4.1 Powertrain of 2004 Toyota Prius 150

5.4.2 Example: CVT Operating in Electric Drive Mode (Vehicle Launch and Low Speeds) 151

5.4.3 Example: CVT Operating in Full-Power Mode 153

5.4.4 Example: CVT Operating in Cruising and Generating Mode 154

References 155

Problems 155

Assignments 156

Part 2 Electrical Machines 159

6 Introduction to Traction Machines 161

6.1 Propulsion Machine Overview 161

6.1.1 DC Machines 162

6.1.2 AC Machines 163

6.1.3 Comparison of Traction Machines 167

6.1.4 Case Study - Mars Rover Traction Motor 169

6.2 Machine Specifications 170

6.2.1 Four-Quadrant Operation 170

6.2.2 Rated Parameters 171

6.2.3 Rated Torque 172

6.2.4 Rated and Base Speeds 172

6.2.5 Rated Power 172

6.2.6 Peak Operation 173

6.2.7 Starting Torque 173

6.3 Characteristic Curves of a Machine 173

6.3.1 Constant-Torque Mode 173

6.3.2 Constant-Power Mode 174

6.3.3 Maximum-Speed Mode 174

6.3.4 Efficiency Maps 174

6.4 Conversion Factors of Machine Units 176

References 177

7 The Brushed DC Machine 178

7.1 DC Machine Structure 178

7.2 DC Machine Electrical Equivalent Circuit 180

7.3 DC Machine Circuit Equations 182

7.3.1 No-Load Spinning Loss 183

7.3.2 No-Load Speed 184

7.3.3 Maximum Power 184

7.3.4 Rated Conditions 184

7.4 Power, Losses, and Efficiency in the PM DC Machine 185

7.5 Machine Control using Power Electronics 186

7.5.1 Example: Motoring using a PM DC Machine 186

7.6 Machine Operating as a Motor or Generator in Forward or Reverse Modes 189

7.6.1 Example: Generating/Braking using a PM DC Machine 190

7.6.2 Example: Motoring in Reverse 191

7.7 Saturation and Armature Reaction 191

7.7.1 Example: Motoring using PM DC Machine and Machine Saturation 192

7.8 Using PM DC Machine for EV Powertrain 193

7.8.1 Example: Maximum Speeds using PM DC Machine 194

7.9 Using WF DC Machine for EV Powertrain 195

7.9.1 Example: Motoring using WF DC Machine 197

7.10 Case Study - Mars Rover Traction Machine 199

7.11 Thermal Characteristics of Machine 201

7.11.1 Example of Steady-State Temperature Rise 202

7.11.2 Transient Temperature Rise 203

7.11.3 Example of Transient Temperature Rise 203

References 204

Problems 204

8 Induction Machines 206

8.1 Stator Windings and the Spinning Magnetic Field 207

8.1.1 Stator Magnetic Flux Density 209

8.1.2 Space-Vector Current and the Rotating Magnetic Field 211

8.2 Induction Machine Rotor Voltage, Current, and Torque 216

8.2.1 Rotor Construction 216

8.2.2 Induction Machine Theory of Operation 216

8.3 Machine Model and Steady-State Operation 219

8.3.1 Power in Three-Phase Induction Machine 222

8.3.2 Torque in Three-Phase Induction Machine 223

8.3.3 Phasor Analysis of Induction Motor 225

8.3.4 Machine Operation When Supplied by Current Source 225 Example: Motoring at Rated Speed using Induction Machine 228 Example: Motoring at Rated Speed using Induction Machine - Ignoring Leakage 231 Example: Generating at Rated Speed using Induction Machine 232

8.4 Variable-Speed Operation of Induction Machine 234

8.4.1 Constant Volts per hertz Operation 235 Example: Maintaining a Constant Volts per Hertz 235

8.4.2 Variable-Speed Operation 235 Example: Field-Weakened Motoring at Twice the Rated Speed using Induction Machine 236 Example: Stall/Start-Up using Induction Machine 238 Effects of Rotor Heating 240

8.5 Machine Test 240

8.5.1 DC Resistance Test 240

8.5.2 Locked-Rotor Test 240

8.5.3 No-Load Test 242 Example of Machine Characterization 243

References 244

Further Reading 244

Problems 245

Sample MATLAB Code 246

9 Surface-Permanent-Magnet AC Machines 249

9.1 Basic Operation of SPM Machines 249

9.1.1 Back EMF of a Single Coil 249

9.1.2 Back EMF of Single Phase 250 The Experimental Back EMF 253 Distributed Winding 253

9.1.3 SPM Machine Equations 253 Example: Phase Voltage of SPM Machine 255

9.2 Per-Phase Analysis of SPM Machine 255

9.2.1 Per-Phase Equivalent Circuit Model for SPM Machine 256

9.2.2 Phasor Analysis of SPM Machine 257 Example: Motoring using SPM Machine 260

9.2.3 Machine Saturation 263 Example: Motoring using SPM Machine 263

9.2.4 SPM Torque-Speed Characteristics 264 Example: Determining No-Load Speed 265

9.2.5 High-Speed Operation of SPM Machine above Rated Speed 266 Example: Motoring using SPM Machine in Field Weakening 269

9.2.6 Machine Characteristics for Field-Weakened Operation 270

References 272

Further Reading 273

Problems 273

MATLAB Code 274

10 Interior-Permanent-Magnet AC Machine 276

10.1 Machine Structure and Torque Equations 276

10.2 d- and q-Axis Inductances 278

10.2.1 Example: Estimating the d-axis and q-axis Inductances for 2004 Toyota Prius Motor 281

10.3 IPM Machine Test 281

10.3.1 No-Load Spin Test 282

10.3.2 DC Torque Test 282

10.4 Basic Theory and Low-Speed Operation 286

10.4.1 Example: Motoring at Rated Condition 287

10.4.2 Maximum Torque per Ampere (MTPA) 289

10.4.3 Maximum Torque per Volt (MTPV) or Maximum Torque per Flux (MTPF) 289

10.5 High-Speed Operation of IPM Machine 289

10.5.1 Example: Motoring at High Speed using IPM Machine 289

10.6 dq Modeling of Machines 291

10.6.1 Constant Current Transformation 292

10.6.2 Constant Power Transformation 294

References 295

Further Reading 295

Problems 296

Assignments 298

Part 3 Power Electronics 299

11 DC-DC Converters 301

11.1 Introduction 301

11.2 Power Conversion - Common and Basic Principles 304

11.2.1 The Basic Topologies 306

11.2.2 The Half-Bridge Buck-Boost Bidirectional Converter 307

11.3 The Buck or Step-Down Converter 307

11.3.1 Analysis of Voltage Gain of Buck Converter in CCM 309 Analysis of Buck Converter in CCM 311 Determining Low-Voltage Capacitor RMS Current 312 Capacitor Voltages 314 Example: Designing Buck Converter for CCM Operation 315

11.3.2 BCM Operation of Buck Converter 317 Example of Buck in BCM 317

11.3.3 DCM Operation of Buck Converter 319 Example: Buck Converter in DCM Operation 324

11.4 The Boost or Step-up Converter 325

11.4.1 Analysis of Voltage Gain of Boost Converter in CCM 326 Analysis of Boost Converter in CCM 327 Example: Analyzing Boost for CCM Operation 329

11.4.2 BCM Operation of Boost Converter 330 Example: Boost Converter in BCM 332

11.4.3 DCM Operation of Boost Converter 332 Example: Boost Converter in DCM Operation 335

11.5 Power Semiconductors 336

11.5.1 Power Semiconductor Power Loss 337 Conduction Losses of IGBT and Diode 337 Example: Boost IGBT Conduction Losses 339 Switching Losses of IGBT and Diode 339 Example: Switching Losses of IGBT Module 340

11.5.2 Total Semiconductor Power Loss and Junction Temperature 341 Example: Total IGBT Module Loss and Die Temperatures 342

11.6 Passive Components for Power Converters 342

11.6.1 Example: Inductor Sizing 342

11.6.2 Capacitor Sizing 343 Example: Capacitor Sizing 343

11.7 Interleaving 343

11.7.1 Example: Two-Phase Interleaved Boost Converter 345

References 346

Further Reading 346

Problems 346

Assignments 349

Appendix I 349

Appendix II: Buck-Boost Converter 349

12 Isolated DC-DC Converters 353

12.1 Introduction 353

12.1.1 Advantages of Isolated Power Converters 353

12.1.2 Power Converter Families 354

12.2 The Forward Converter 355

12.2.1 CCM Currents in Forward Converter 357 Example: Current Ratings in Medium-Power Forward Converter 360

12.2.2 CCM Voltages in Forward Converter 362 Example: Voltage Ratings in a Medium-Power Forward Converter 364

12.2.3 Sizing the Transformer 365 Example: AP of a Forward Converter Transformer 365

12.3 The Full-Bridge Converter 365

12.3.1 Operation of Hard-Switched Full-Bridge Converter 367

12.3.2 CCM Currents in Full-Bridge Converter 370 Example: Current Ratings in a Medium-Power Full-Bridge Converter 373

12.3.3 CCM Voltages in the Full-Bridge Converter 376 Example: Voltage Ratings in a Full-Bridge Converter 376

12.4 Resonant Power Conversion 377

12.4.1 LCLC Series-Parallel Resonant Converter 377

12.4.2 Desirable Converter Characteristics for Inductive Charging 378 Basic Converter Operation 379 Design Considerations 381

12.4.3 Fundamental-Mode Analysis and Current-Source Operation 381 Example 384

12.4.4 Simulation 385

References 388

Further Reading 388

Problems 388

Assignments 390

Appendix I: RMS and Average Values of Ramp and Step Waveforms 390

Appendix II: Flyback Converter 391

13 Traction Drives and Three-Phase Inverters 392

13.1 Three-Phase Inverters 392

13.2 Modulation Schemes 393

13.2.1 Sinusoidal Modulation 395

13.2.2 Sinusoidal Modulation with Third Harmonic Addition 396

13.2.3 Overmodulation and Square Wave 398 Example: AC Voltages Available from DC Link 398

13.3 Sinusoidal Modulation 398

13.3.1 Modulation Index m 399

13.3.2 Inverter Currents 401

13.3.3 Switch, Diode, and Input Average Currents 401

13.3.4 Switch, Diode, DC Link, and Input Capacitor RMS Currents 403

13.3.5 Example: Inverter Currents 404

13.4 Inverter Power Loss 405

13.4.1 Conduction Loss of IGBT and Diode 405

13.4.2 Switching Loss of IGBT Module 405 Example: Power Losses of Power Semiconductor Module 405

13.4.3 Total Semiconductor Power Loss and Junction Temperature 407 Example: Total IGBT Module Loss and Die Temperatures 408

13.4.4 Example: Regenerative Currents 408

References 409

Further Reading 409

Problems 410

Assignments 410

14 Battery Charging 412

14.1 Basic Requirements for Charging System 412

14.2 Charger Architectures 414

14.3 Grid Voltages, Frequencies, and Wiring 416

14.4 Charger Functions 418

14.4.1 Real Power, Apparent Power, and Power Factor 419

14.5 Charging Standards and Technologies 422

14.5.1 SAE J1772 422

14.5.2 VDE-AR-E 2623-2-2 425

14.5.3 CHAdeMo 425

14.5.4 Tesla 425

14.5.5 Wireless Charging 425 Inductive 425 Wireless 427

14.6 The Boost Converter for Power Factor Correction 427

14.6.1 The Boost PFC Power Stage 428

14.6.2 Sizing the Boost Inductor 430 Example: Sizing the Inductor 430

14.6.3 Average Currents in the Rectifier 431 Example: Input Rectifier Power Loss 432

14.6.4 Switch and Diode Average Currents 432

14.6.5 Switch, Diode, and Capacitor RMS Currents 434

14.6.6 Power Semiconductors for Charging 434 Example: Silicon MOSFET and SiC Diode Power Losses 435 Example: PFC Stage Losses 437

References 438

Further Reading 438

Problems 439

Assignments 440

15 Control of the Electric Drive 441

15.1 Introduction to Control 441

15.1.1 Feedback Controller Design Approach 442

15.2 Modeling the Electromechanical System 443

15.2.1 The Mechanical System 443

15.2.2 The PM DC Machine 446

15.2.3 The DC-DC Power Converter 447

15.2.4 The PI Controller 447

15.3 Designing Torque Loop Compensation 448

15.3.1 Example: Determining Compensator Gain Coefficients for Torque Loop 449

15.4 Designing Speed Control Loop Compensation 449

15.4.1 Example: Determining Compensator Gain Coefficients for Speed Loop 451

15.5 Acceleration of Battery Electric Vehicle (BEV) using PM DC Machine 451

15.6 Acceleration of BEV using WF DC Machine 452

References 455

Problems 455

Assignment and Sample MATLAB Codes 456

Part 4 Electromagnetism 459

16 Introduction to Electromagnetism, Ferromagnetism, and Electromechanical Energy Conversion 461

16.1 Electromagnetism 462

16.1.1 Maxwell's Equations 462 Ampere's Circuital Law (Based on Ampere-Maxwell Law) 463 Right Hand Screw Rule: Direction of Magnetic Flux 464 Magnetic Flux Density Vector (B) 465 Magnetic Flux 465 Gauss' Law for Magnetism 466

16.2 Ferromagnetism 467

16.2.1 Magnetism and Hysteresis 467

16.2.2 Hard and Soft Ferromagnetic Materials 470 Soft Ferromagnetic Materials 470 A Review of Commonly Used Soft Ferromagnetic Materials 471

16.3 Self-Inductance 473

16.3.1 Basic Inductor Operation 474

16.3.2 Inductor Equations 475 Example: A Gapped Inductor 477 Inductance Variation with Magnetization Curve 477

16.3.3 Reluctance 478 Example: A Gapless Inductor 480 Reluctance of Gapped Magnetic Structures 480 Example: Reluctances of Gapped Inductor 481

16.3.4 Energy Stored in Magnetic Field 481 Example: Inductor Energy Storage 482

16.3.5 Core Loss 482 Hysteresis Loss 482 Eddy Current Loss 483 Core Loss 484 Example: Core Loss 484 Core Loss Equivalent Parallel Resistance 484

16.3.6 Copper Loss 484 Copper Loss of Wire 485 Example: Copper Loss 485 Copper Loss of CC Core with Helical Winding 485 Example: MLT of Winding 486

16.3.7 Inductor Sizing using Area Product 487

16.3.8 High-Frequency Operation and Skin Depth 488

16.4 Hard Ferromagnetic Materials and Permanent Magnets 489

16.4.1 Example: Remanent Flux Density 490

16.4.2 Example: The Recoil Line 492

16.4.3 Example: Air Gap Flux Density due to a Permanent Magnet 494

16.4.4 Maximum Energy Product 494

16.4.5 Force due to Permanent Magnet 494 Example: Lifting Force of Magnet with no Gap 496 Example: Lifting Force of Magnet with Gap 496

16.4.6 Electromagnet 497 Example: Air Gap Flux Density due to Field Winding 497

16.5 The Transformer 498

16.5.1 Theory of Operation 498

16.5.2 Transformer Equivalent Circuit 500

16.5.3 Transformer Voltages and Currents 501 Exciting the Transformer with Sinusoidal Wave 503 Example: Induction Machine Magnetizing Current 504 Exciting the Transformer with a Square Wave Voltage 504 Example: High-Frequency Transformer 505

16.5.4 Sizing the Transformer using the Area-Product (AP) Method 505

16.6 The Capacitor 506

16.6.1 Sizing Polypropylene High-Voltage Capacitor 508

16.7 Electromechanical Energy Conversion 509

16.7.1 Ampere's Force Law 509 Fleming's Left Hand Rule 509

16.7.2 General Expression for Torque on Current-Carrying Coil 510

16.7.3 Torque, Flux Linkage, and Current 511

16.7.4 Faraday's Law of Electromagnetic Induction 512

16.7.5 Lenz's Law and Fleming's Right Hand Rule 512

References 513

Further Reading 514

Further Viewing 515

Problems 515

Assignments 518

Reference Conversion Table 519

Index 521
Hayes and Goodarzi have focused their considerable talent and experience to teaching the inner workings of the electric car. Readers, whether engineers, students, or the interested public will find this book a treasure trove of knowledge on modern automotive technology. In conclusion, what a great book! --John M Miller, J-N-J Miller Design Services PLLC, Longview, Texas, USA

I highly recommend 'Electric Powertrain: Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles' by Dr John G. Hayes and Dr G. Abas Goodarzi. I use this book as my core teaching text on my module Transportation Power and Systems 3, which I teach to third year BEng and MEng Mechanical Engineering undergraduates in Queen's University Belfast. This book captures the fundamentals and in-depth aspects of the key elements of the course I teach including drive cycles, power trains for hybrids, vehicle dynamics, batteries and machines. The worked examples are excellent. The text book is very well laid out with superb well thought-out practical problems at the end of each chapter. This book is very relevant to those who wish to expand their knowledge of hybrid vehicles. It seamlessly integrates the electrical, civil and mechanical disciplines in this growing and multidisciplinary area. This is especially important considering the sustainable direction of land-based transport will take over the next decade as we strive to combat global warming and reduce greenhouse gas emissions. --Dr Aoife Foley, School of Mechanical and Aerospace Engineering, Queen's University Belfast, United Kingdom
John G. Hayes, PhD, MSEE, MBA, lectures at University College Cork, Ireland, and specialises in automotive, industrial and renewable energy systems and related power electronics, machines and electromagnetism. He previously worked in Southern California for ten years at General Motors' Hughes Aircraft subsidiary developing EV propulsion and inductive charging systems for the General Motors EV1, the first modern production EV. John's recent focus has been on the development of integrated and holistic EV teaching materials for the engineering student and the automotive professional.

G. Abas Goodarzi, PhD, P.E., is the Chief Executive Officer and President of US Hybrid Corporation, Torrance, California, which he founded in 1999. He is also the President of US FuelCell, a company formed with the acquisition by US Hybrid of the United Technologies PEM fuel cell transportation division. He served as Senior Scientist at General Motors' Hughes Aircraft subsidiary, and as Technical Director for the General Motors EV1. He has designed various EV, HEV, and FCEV powertrain systems for light, medium, and heavy-duty, on-road, off-road, and special-purpose vehicles.