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by David G Dorrell, Masatugu Takemoto, Masahide Oshima, Osamu Ichikawa, Tadashi Fuk
Magnetic Bearings and Bearingless Drives
Cover image
Title page
Table of Contents
Copyright
List of Contributors
Foreword
Preface
Acknowledgements
Chapter 1: Introduction
1.1 Magnetic bearing and motor drive
1.2 Bearingless drives
1.3 Definition and related technologies
1.4 Early developments
1.5 Bearingless structures
1.6 Comparisons
1.7 Winding structures
1.8 Applications
Chapter 2: Electro-magnetics and mathematical model of magnetic bearings
2.1 Electro-mechanical structure and operating principles
2.2 Electric equivalent circuit and inductance
2.3 Stored magnetic energy and force
2.4 Radial magnetic bearing
2.5 Unbalance pull force
2.6 Block diagram and mechanical system
Chapter 3: Magnetic bearing controllers
3.1 Design principles in one-axis magnetic suspension
3.2 Adjustment of PID gains
3.3 Interference in two perpendicular axes
3.4 Unbalance force and elimination
3.5 Eccentric displacement
3.6 Synchronized displacement suppression
Chapter 4: Mechanical dynamics
4.1 Two-axis system
4.2 Four-axis and five-axis systems
4.3 Thrust magnetic bearing and requirement of five-axis suspension
Chapter 5: Power electronic circuits for magnetic bearings
5.1 Structure and principles of power electronic circuits
5.2 PWM operation
5.3 Current feedback
5.4 Current driver operating area
5.5 Power devices and gate drive circuits
Chapter 6: Primitive model and control strategy of bearingless motors
6.1 Principles of radial force generation
6.2 Two-pole bearingless motor
6.3 MMF and permeance
6.4 Magnetic potential and flux distribution
6.5 Inductance matrix
6.6 Radial force and current
6.7 The dc excitation of the primitive bearingless motor
6.8 AC excitation and revolving magnetic field
6.9 Inductance measurements
Chapter 7: Analysis in rotational coordinates and magnetic suspension strategy for bearingless drives with 2-pole and 4-pole windings
7.1 Vector control theory of electrical motors
7.2 Coordinate transformation and torque regulation
7.3 Vector control theory in bearingless motors
7.4 Coordinate transformation from dc to ac bearingless machines
7.5 System block diagrams of bearingless machines
Chapter 8: Field orientation, VA requirement and magnetic saturation
8.1 Misalignment of field orientation
8.2 VA requirement
8.3 Magnetic saturation
Chapter 9: Cylindrical permanent magnet synchronous bearingless motors
9.1 Structure of surface permanent magnet (SPM) rotor
9.2 Radial suspension force and suspension winding current
9.3 Equations of voltage and current
9.4 Guideline for permanent magnet thickness and airgap length
9.5 Irreversible permanent magnet demagnetization and MMF limitations of stator windings
9.6 Control system configuration
Chapter 10: Inset types of permanent magnet bearingless motor
10.1 Structure and features of an inset type of permanent magnet rotor
10.2 Mutual interference between radial suspension forces
10.3 Rotor position control strategy
10.4 Identification of suspension force parameters
Chapter 11: Buried permanent magnet bearingless motors
11.1 BPM rotor structures
11.2 Suspension force for unity current and permanent magnet demagnetization
11.3 Rotor position control strategy
Chapter 12: Synchronous reluctance bearingless motors
12.1 Torque characteristics
12.2 Radial force characteristics
12.3 Drive systems
Chapter 13: Bearingless induction motors
13.1 Rotor structure and suspension force
13.2 Indirect type drives
13.3 Direct type drives
13.4 Two-pole motor drive
Chapter 14: Homopolar, hybrid and consequent-pole bearingless motors
14.1 Structures and principles
14.2 Number of poles
14.3 Drive systems
Chapter 15: Switched reluctance bearingless motors
15.1 Configuration of stator windings and principles of suspension force generation
15.2 Derivation of inductances
15.3 Assumption and calculation of permeances
15.4 Theoretical formulae of suspension force and torque
15.5 A drive system
15.6 A feed-forward compensator for vibration reduction considering magnetic attraction force
Chapter 16: Winding arrangement variations
16.1 Modified radial magnetic bearings [1,2]
16.2 Modified motors [3–5]
16.3 p-Pole and (p ± 2)-pole windings [9–11]
Chapter 17: Mechanical structure and position regulation
17.1 Mechanical structure
17.2 Axial gap bearingless motors
Chapter 18: Displacement sensors and sensorless operation
18.1 Principles of displacement sensor
18.2 Improvements in sensitivity
18.3 Inductive and eddy current sensors
18.4 Sensorless bearingless motor
Chapter 19: Controllers and power electronics
19.1 Structure of digital controllers
19.2 Discrete-time systems of PID controllers with the z-transform
Chapter 20: Design procedure and examples
20.1 An induction type bearingless motor [1–4]
20.2 A permanent magnet type bearingless motor [5,6]
Chapter 21: Applications and test machines
21.1 Canned pumps and drives [1–4]
21.2 Compact pumps, bubble bed reactor
21.3 Spindle motor and semiconductor processing
Index
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