- Title Page
- Copyright
- Introduction
- Chapter 1: Synchronous motor controls, Problems and Modeling
- 1.1. Introduction
- 1.2. Problems on the synchronous motor control
- 1.3. Descriptions and physical modeling of the synchronous motor
- 1.4. Modeling in dynamic regime of the synchronous motor in the natural three-phase a-b-c reference frame
- 1.5. Vector transformations and dynamic models in the a-ß and d-q reference frames (sinusoidal field distribution machines with non-salient and salient poles)
- 1.6. Can we extend the Park transformation to synchronous motors with non-sinusoidal field distributions?
- 1.7. Conclusion
- 1.8. Appendices
- 1.8.1. Numerical values of the parameters
- 1.8.2. Nomenclature and notations
- 1.8.3. Acknowledgments
- 1.9. Bibliography
- Chapter 2: Optimal Supply and Synchronous Motors Torque Control: Designs in the a-b-c Reference Frame
- 2.1. Introduction: problems of the controls in a-b-c
- 2.2. Model in the a-b-c reference frame: extension of the steady state approach in transient regime
- 2.3. Structures of torque controls designed in the a-b-c reference frame
- 2.3.1. Case of the sinusoidal distribution machine
- 2.3.2. Extension to brushless DC motors (case of trapezoidal field distribution machines)
- 2.4. Performances and criticisms of the control approach in the a-b-c reference frame
- 2.4.1. Case of a proportional control
- 2.4.2. Case of an integral and proportional (IP) current regulation
- 2.4.3. Interpretation in Park components of the IP controller designed in a-b-c
- 2.4.4. Advanced controllers: example of the resonant controller
- 2.5. Generalization: extension of the supplies to the case of non-sinusoidal distribution machines
- 2.5.1. Generalization of the modeling
- 2.5.2. A first (heuristic) approach of the solution
- 2.5.3. First generalization: optimization of the Joule losses (without constraint on the zero-sequence component current)
- 2.5.4. Application of this approach: optimization in the case where electromotive forces are sinusoidal
- 2.5.5. Second generalization: optimization of the Joule losses with constraint (the zero-sequence component current must be equal to zero)
- 2.5.6. Geometrical interpretation of the two optimal currents
- 2.6. Use of Fourier expansion to obtain optimal currents
- 2.6.1. Interest of the Fourier expansion (FS)
- 2.6.2. Modeling by Fourier series (with complex coefficients)
- 2.6.3. Properties of the results by the Fourier expansion
- 2.6.5. Second important case: the back-EMF only contain even order harmonics
- 2.6.6. General case, even and uneven order harmonics
- 2.6.7. Rules: to impose the torque, it is necessary to impose its different harmonics
- 2.6.8. General approach for the optimization (heuristic demonstration in one example)
- 2.6.9. General formulation of the optimization method
- 2.6.10. An important example: the sinusoidal field distribution machine
- 2.6.11. Application: obtaining a constant torque
- 2.6.12. Some results
- 2.7. Conclusion
- 2.8. Appendices
- 2.9. Bibliography
- Chapter 4: Drive Controls with Synchronous Motors
- 4.1. Introduction
- 4.2. Principles adopted for speed controls: case of IP controllers
- 4.3. Speed controls designed in the a-b-c reference frame (application to a non-salient pole machine)
- 4.4. Determination of the speed controls designed in the d-q reference frame (application to a salient pole machine)
- 4.4.1. General information
- 4.4.2. Introductory example: speed control with compensation or decoupling
- 4.4.3. Discussion on the speed controls
- 4.4.4. Examples of regulation choices. The interest of an IP controller: its limits
- 4.4.5. Examples of the regulation choices: IP controller with an anti-windup device
- 4.4.6. Examples of regulation choices: IP controller with limited dynamics
- 4.4.7. Example of an advanced regulation: P controller associated with an integral observer
- 4.5. Note on position regulations
- 4.6. Conclusion
- 4.7. Appendices
- 4.8. Bibliography
- Chapter 5: Digital Implementation of Vector Control of Synchronous Motors
- 5.1. Introduction
- 5.2. Classical, analog and ideal torque control of a synchronous motor
- 5.3. Digital implementation problem of the synchronous motor vector control
- 5.4. Discretization of the control system
- 5.5. Study of the delays introduced by the digital implementation of the vector control of the synchronous motor
- 5.6. Quantization problems
- 5.7. Delays in the reverse Park transformation
- 5.8. Conclusion
- 5.9. Bibliography
- Chapter 6: Direct Control of a Permanent Magnet Synchronous Machine
- 6.1. Introduction
- 6.2. Model of the permanent magnet synchronous machine in the d-q reference frame
- 6.3. Conventional DTC with free switching frequency
- 6.4. DTC at a fixed switching frequency
- 6.5. Predictive direct control
- 6.6. Conclusion
- 6.7. Bibliography
- Chapter 7: Synchronous Machine and Inverter Fault Tolerant Predictive Controls
- Chapter 9: Sensorless Control of Permanent Magnet Synchronous Machines: Deterministic Methods, Convergence and Robustness
- 9.1. Introduction
- 9.2. Modeling PMSMs for mechanical sensorless control
- 9.3. Convergence analysis of mechanical sensorless control laws
- 9.4. Estimation of the back-EMF vector
- 9.5. Robustness of sensorless control of PMSM with respect to parameter uncertainties
- 9.6. Sensorless control of PMSMs in the presence of uncertainties on the resistance
- 9.7. Conclusion
- 9.8. Appendix 1
- 9.9. Appendix 2
- 9.10. Bibliography
- List of Authors
Index
A
a-b-c reference frame
anti-windup device
autopilot
C
compensation
Concordia transformation
control
of axis
without a mechanical sensor
convergence analysis
converters
currents
current regulation
D
decision table
delays
direct
model
torque control
discretization
distribution
d-q reference frame
DSP
dynamic hybrid system
dynamics
of observation
E F
extended Park transformation
fault tolerant control
field
H
harmonics
heuristics
homopolar component
horizon
hybrid predictive strategy
I
initial adjustments of the covariance matrices
input-output linearization
isotorque surface
M
machine
measurement error model
inversion
MRAS multi-phase machine
N O
non-salient pole
observer
of disturbance of the load torque
state
optimal references
P
parametric uncertainties
Park
reference frame
transformation
permanent magnets synchronous machine (PMSM)
physical redundancies
poles
position regulation
predictions
Q R
quantization
reference time-constant
regulation
torque reluctant synchronous machine
residual torque
revolving field
robustness
S
salient poles
sampling
sinusoidal
currents
field
field distribution
speed regulation
speed variator
strategy
T
transformation
trapezoidal field distribution
V
vector control
PWM
voltage inverter
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