Reference Frame Theory - Paul C. Krause - E-Book

Reference Frame Theory E-Book

Paul C. Krause

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Beschreibung

Discover the history, underpinnings, and applications of one of the most important theories in electrical engineering In Reference Frame Theory, author Paul Krause delivers a comprehensive and thorough examination of his sixty years of work in reference frame theory. From the arbitrary reference frame, to the coining of the title "reference frame theory," to the recent establishment of the basis of the theory, the author leaves no stone unturned in his examination of the foundations and niceties of this area. The book begins with an integration of Tesla's rotating magnetic field with reference frame theory before moving on to describe the link between reference frame theory and symmetrical induction machines and synchronous machines. Additional chapters explore the field orientation of brushless DC drives and induction machine drives. The author concludes with a description of many of the applications that make use of reference frame theory. The comprehensive and authoritative Reference Frame Theory also covers topics like: * A brief introduction to the history of reference frame theory * Discussions of Tesla's rotating magnetic field and its basis of reference frame theory * Examinations of symmetrical induction and synchronous machines, including flux-linkage equations and equivalent circuits * Applications of reference frame theory to neglecting stator transients, multiple reference frames, and symmetrical components Perfect for power engineers, professors, and graduate students in the area of electrical engineering, Reference Frame Theory also belongs on the bookshelves of automotive engineers and manufacturing engineers who frequently work with electric drives and power systems. This book serves as a powerful reference for anyone seeking assistance with the fundamentals or intricacies of reference frame theory.

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Table of Contents

Cover

IEE Press Series on Power Engineering

Reference Frame Theory

Copyright

About the Author

Preface

1 A Brief History of Reference Frame Theory

References

2 Tesla's Rotating Magnetic Field

2.1 Introduction

2.2 Rotating Magnetic Field for Symmetrical Two‐Phase Stator Windings

2.3 Rotating Magnetic Field for Symmetrical Three‐Phase Stator Windings

2.4 Rotating Magnetic Field for Symmetrical Two‐Phase Rotor Windings

2.5 Rotating Magnetic Field for Symmetrical Three‐Phase Rotor Windings

2.6 Closing Comments

References

3 Tesla's Rotating Magnetic Field and Reference Frame Theory

3.1 Introduction

3.2 Transformation of Two‐Phase Symmetrical Stator Variables to the Arbitrary Reference Frame

3.3 Transformation of Two‐Phase Symmetrical Rotor Variables to the Arbitrary Reference Frame

3.4 Transformation of Three‐Phase Stator and Rotor Variables to the Arbitrary Reference Frame

3.5 Balanced Steady‐State Stator Variables Viewed from Any Reference Frame

3.6 Closing Comments

References

4 Equivalent Circuits for the Symmetrical Machine

4.1 Introduction

4.2 Flux‐Linkage Equations for a Magnetically Linear Two‐Phase Symmetrical Machine

4.3 Flux‐Linkage Equations in the Arbitrary Reference Frame

4.4 Torque Expression in Arbitrary Reference Frame

4.5 Instantaneous and Steady‐State Phasors

4.6 Flux‐Linkage Equations for a Magnetically Linear Three‐Phase Symmetrical Machine and Equivalent Circuit

4.7 Closing Comments

References

5 Synchronous Machines

5.1 Introduction

5.2 Synchronous Machine

5.3 Equivalent Circuit For Three‐Phase Synchronous Generator

5.4 Closing Comment

Reference

6 Brushless dc Drive with Field Orientation

6.1 Introduction

6.2 The Permanent‐Magnet ac Machine

6.3 Instantaneous and Steady‐State Phasors

6.4 Field Orientation of a Brushless dc Drive

6.5 Torque Control of a Brushless dc Drive

6.6 Closing Comments

References

7 Field Orientation of Induction Machine Drives

7.1 Introduction

7.2 Field Orientation of a Symmetrical Machine

7.3 Torque Control of Field‐Orientated Symmetrical Machine

7.4 Closing Comments

References

8 Additional Applications of Reference Frame Theory

8.1 Introduction

8.2 Neglecting Stator Transients

8.3 Symmetrical Components Derived by Reference Frame Theory

8.4 Multiple Reference Frames

8.5 Closing Comments

References

Index

End User License Agreement

List of Tables

Chapter 7

Table 7.2-1 Steady‐state voltage and torque equations for field orientation o...

List of Illustrations

Chapter 2

Figure 2.2-1 Sinusoidally distributed stator winding. (a) Approximate sinuso...

Figure 2.2-2 Closed paths of integration and the plot of

.

Figure 2.2-3 Plot of sinusoidal approximation of

shown in Figure 2.2-2g.

Figure 2.2-4 Elementary symmetrical, two‐pole two‐phase sinusoidally distrib...

Figure 2.2-5 Symmetrical, two‐pole two‐phase sinusoidally distributed stator...

Figure 2.2-6 Tesla's balanced steady‐state rotating magnetic field

viewed ...

Figure 2.3-1 Elementary two‐pole three‐phase sinusoidally distributed stator...

Figure 2.4-1 Two‐phase rotating, identical, and sinusoidally distributed sym...

Figure 2.5-1 Three‐phase rotating, identical, and sinusoidally distributed s...

Chapter 3

Figure 3.2-1 Two‐pole two‐phase sinusoidally distributed fictitious windings...

Figure 3.3-1 Two‐phase rotating, identical, and sinusoidally distributed win...

Figure 3.3-2 The fictitious

qr

and

dr

windings.

Figure 3.4-1 Elementary two‐pole three‐phase sinusoidally distributed stator...

Figure 3.4-2 Elementary two‐pole three‐phase sinusoidally distributed rotor ...

Figure 3.5-1 Direction of rotation of

and the phase relation between

and...

Chapter 4

Figure 4.2-1 A two‐pole two‐phase symmetrical machine.

Figure 4.3-1 Arbitrary reference frame equivalent circuits for a two‐phase, ...

Figure 4.5-1 Equivalent circuit for a two‐phase symmetrical induction machin...

Figure 4.5-2 Steady‐state torque–speed characteristics of a symmetrical indu...

Figure 4.5-3 Equivalent circuit for steady‐state operation of a single‐fed s...

Figure 4.5-4 Phasor diagram; motor action,

s

= 0.05.

Figure 4.5-5 Phasor diagram; generator action,

s

= −0.05.

Figure 4.6-1 A two‐pole three‐phase symmetrical machine.

Figure 4.6-2 Arbitrary reference frame equivalent circuits for a three‐phase...

Chapter 5

Figure 5.2-1 Salient‐rotor two‐pole three‐phase salient‐pole synchronous mac...

Figure 5.3-1 Equivalent circuit for three‐phase synchronous machine in the r...

Figure 5.3-2 Phasor diagram for generator operation.

Chapter 6

Figure 6.2-1 Two‐pole two‐phase permanent‐magnet ac machine.

Figure 6.2-2 (a) The

and

axis equivalent of a two‐phase permanent‐magnet ...

Figure 6.3-1 Phasor diagram showing voltages, currents, and rotor and stator...

Figure 6.3-2 Phasor diagram for

and

in phase.

Figure 6.4-1 Inverter–machine drive. (

a

) Inverter configuration, (

b

) transis...

Figure 6.4-2 Two‐pole three‐phase permanent‐magnet ac machine with sensors....

Figure 6.4-3 The free‐acceleration torque–speed characteristics for a three‐...

Figure 6.4-4 Phasor diagram for brushless dc drive operation at

 rad/s with...

Figure 6.4-5 Torque–speed characteristics of a three‐phase machine for free ...

Figure 6.4-6 Phasor diagram for brushless dc drive operation at

with

.

Figure 6.4-7 Torque–speed characteristics for free acceleration with

.

Figure 6.4-8 Phasor diagram for brushless dc drive operation at

with

.

Figure 6.5-1 Block diagram of constant‐torque control of a three‐phase perma...

Figure 6.5-2 Phasor diagram for operating Point 1.

Figure 6.5-3 Controlling

.

Figure 6.5-4 Phasor diagram for operating Point 2.

Chapter 7

Figure 7.2-1 Block diagram depicting field‐oriented control principles.

Figure 7.3-1 Operation of induction motor drive with field orientation for s...

Figure 7.3-2 Phasor diagram for operating Point 1.

Figure 7.3-3 Phasor diagram for operating Point 2.

Guide

Cover Page

IEE Press Series

Title Page

Copyright

About the Author

Preface

Table of Contents

Begin Reading

Index

WILEY END USER LICENSE AGREEMENT

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IEE Press Series on Power Engineering

Series Editor: M. E. El‐Hawary, Dalhousie University, Halifax, Nova Scotia,

Canada

The mission of IEEE Press Series on Power Engineering is to publish leading‐ edge books that cover the broad spectrum of current and forward‐looking technologies in this fast‐moving area. The series attracts highly acclaimed authors from industry/academia to provide accessible coverage of current and emerging topics in power engineering and allied fields. Our target audience includes the power engineering professional who is interested in enhancing their knowledge and perspective in their areas of interest.

1. Electric Power Systems: Design and Analysis, Revised Printing

Mohamed E. El‐Hawary

2. Power System Stability

Edward W. Kimbark

3. Analysis of Faulted Power Systems

Paul M. Anderson

4. Inspection of Large Synchronous Machines: Checklists, Failure Identification,

and Troubleshooting

Isidor Kerszenbaum

5. Electric Power Applications of Fuzzy Systems

Mohamed E. El‐Hawary

6. Power System Protection

Paul M. Anderson

7. Subsynchronous Resonance in Power Systems

Paul M. Anderson, B.L. Agrawal, and J.E. Van Ness

8. Understanding Power Quality Problems: Voltage Sags and Interruptions

Math H. Bollen

9. Analysis of Electric Machinery

Paul C. Krause, Oleg Wasynczuk, and S.D. Sudhoff

10. Power System Control and Stability, Revised Printing

Paul M. Anderson and A.A. Fouad

11. Principles of Electric Machines with Power Electronic Applications,

Second Edition

Mohamed E. El‐Hawary

12. Pulse Width Modulation for Power Converters: Principles and Practice

D. Grahame Holmes and Thomas A. Lipo

13. Analysis of Electric Machinery and Drive Systems, Second Edition

Paul C. Krause, Oleg Wasynczuk, and Scott D. Sudhoff

14. Risk Assessment for Power Systems: Models, Methods, and Applications

Wenyuan Li

15. Optimization Principles: Practical Applications to the Operation of Markets

of the Electric Power Industry

Narayan S. Rau

16. Electric Economics: Regulation and Deregulation

Geoffrey Rothwell and Tomas Gomez

17. Electric Power Systems: Analysis and Control

Fabio Saccomanno

18. Electrical Insulation for Rotating Machines: Design, Evaluation, Aging,

Testing, and Repair, Second Edition

Greg C. Stone, Ian Culbert, Edward A. Boulter, and Hussein Dhirani

19. Signal Processing of Power Quality Disturbances

Math H. J. Bollen and Irene Y. H. Gu

20. Instantaneous Power Theory and Applications to Power Conditioning

Hirofumi Akagi, Edson H. Watanabe, and Mauricio Aredes

21. Maintaining Mission Critical Systems in a 24/7 Environment

Peter M. Curtis

22. Elements of Tidal‐Electric Engineering

Robert H. Clark

23. Handbook of Large Turbo‐Generator Operation and Maintenance,

Second Edition

Geoff Klempner and Isidor Kerszenbaum

24. Introduction to Electrical Power Systems

Mohamed E. El‐Hawary

25. Modeling and Control of Fuel Cells: Distributed Generation Applications

M. Hashem Nehrir and Caisheng Wang

26. Power Distribution System Reliability: Practical Methods and Applications

Ali A. Chowdhury and Don O. Koval

27. Introduction to FACTS Controllers: Theory, Modeling, and Applications

Kalyan K. Sen and Mey Ling Sen

28. Economic Market Design and Planning for Electric Power Systems

James Momoh and Lamine Mili

29. Operation and Control of Electric Energy Processing Systems

James Momoh and Lamine Mili

30. Restructured Electric Power Systems: Analysis of Electricity Markets with

Equilibrium Models

Xiao‐Ping Zhang

31. An Introduction to Wavelet Modulated Inverters

S. A. Saleh and M. Azizur Rahman

32. Control of Electric Machine Drive Systems

Seung‐Ki Sul

33. Probabilistic Transmission System Planning

Wenyuan Li

34. Electricity Power Generation: The Changing Dimensions

Digambar M. Tagare

35. Electric Distribution Systems

Abdelhay A. Sallam and Om P. Malik

36. Practical Lighting Design with LEDs

Ron Lenk and Carol Lenk

37. High Voltage and Electrical Insulation Engineering

Ravindra Arora and Wolfgang Mosch

38. Maintaining Mission Critical Systems in a 24/7 Environment, Second Edition

Peter M. Curtis

39. Power Conversion and Control of Wind Energy Systems

Bin Wu, Yongqiang Lang, Navid Zargari, and Samir Kouro

40. Integration of Distributed Generation in the Power System

Math H. J. Bollen and Fainan Hassan

41. Doubly Fed Induction Machine: Modeling and Control for Wind Energy

Generation

Gonzalo Abad, Jesús López, Miguel Rodrigues, Luis Marroyo, and Grzegorz

Iwanski

42. High Voltage Protection for Telecommunications

Steven W. Blume

43. Smart Grid: Fundamentals of Design and Analysis

James Momoh

44. Electromechanical Motion Devices, Second Edition

Paul Krause, Oleg Wasynczuk, and Steven Pekarek

45. Electrical Energy Conversion and Transport: An Interactive Computer‐Based

Approach, Second Edition

George G. Karady and Keith E. Holbert

46. ARC Flash Hazard and Analysis and Mitigation

J. C. Das

47. Handbook of Electrical Power System Dynamics: Modeling, Stability, and

Control

Mircea Eremia and Mohammad Shahidehpour

48. Analysis of Electric Machinery and Drive Systems, Third Edition

Paul Krause, Oleg Wasynczuk, Scott Sudhoff, and Steven Pekarek

49. Extruded Cables for High‐Voltage Direct‐Current Transmission: Advances in

Research and Development

Giovanni Mazzanti and Massimo Marzinotto

50. Power Magnetic Devices: A Multi‐Objective Design Approach

S. D. Sudhoff

51. Risk Assessment of Power Systems: Models, Methods, and Applications,

Second Edition

Wenyuan Li

52. Practical Power System Operation

Ebrahim Vaahedi

53. The Selection Process of Biomass Materials for the Production of Bio‐Fuels

and Co‐Firing

Najib Altawell

54. Electrical Insulation for Rotating Machines: Design, Evaluation, Aging,

Testing, and Repair, Second Edition

Greg C. Stone, Ian Culbert, Edward A. Boulter, and Hussein Dhirani

55. Principles of Electrical Safety

Peter E. Sutherland

56. Advanced Power Electronics Converters: PWM Converters Processing AC

Voltages

Euzeli Cipriano dos Santos Jr. and Edison Roberto Cabral da Silva

57. Optimization of Power System Operation, Second Edition

Jizhong Zhu

58. Power System Harmonics and Passive Filter Designs

J. C. Das

59. Digital Control of High‐Frequency Switched‐Mode Power Converters

Luca Corradini, Dragan Maksimovic, Paolo Mattavelli, and Regan Zane

60. Industrial Power Distribution, Second Edition

Ralph E. Fehr, III

61. HVDC Grids: For Offshore and Supergrid of the Future

Dirk Van Hertem, Oriol Gomis‐Bellmunt, and Jun Liang

62. Advanced Solutions in Power Systems: HVDC, FACTS, and Artificial

Intelligence

Mircea Eremia, Chen‐Ching Liu, and Abdel‐Aty Edris

63. Operation and Maintenance of Large Turbo‐Generators

Geoff Klempner and Isidor Kerszenbaum

64. Electrical Energy Conversion and Transport: An Interactive Computer‐Based

Approach

George G. Karady and Keith E. Holbert

65. Modeling and High‐Performance Control of Electric Machines

John Chiasson

66. Rating of Electric Power Cables in Unfavorable Thermal Environment

George J. Anders

67. Electric Power System Basics for the Nonelectrical Professional

Steven W. Blume

68. Modern Heuristic Optimization Techniques: Theory and Applications to

Power Systems

Kwang Y. Lee and Mohamed A. El‐Sharkawi

69. Real‐Time Stability Assessment in Modern Power System Control Centers

Savu C. Savulescu

70. Optimization of Power System Operation

Jizhong Zhu

71. Insulators for Icing and Polluted Environments

Masoud Farzaneh and William A. Chisholm

72. PID and Predictive Control of Electric Devices and Power Converters Using

MATLAB®/Simulink®

Liuping Wang, Shan Chai, Dae Yoo, Lu Gan, and Ki Ng

73. Power Grid Operation in a Market Environment: Economic Efficiency and

Risk Mitigation

Hong Chen