SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...
SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...
SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...
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Part II – Space Vectors..............................................................................................................90<br />
Introduction.......................................................................................................................92<br />
Organization......................................................................................................................94<br />
The SV as a Vector................................................................................................................95<br />
Comparison with Linear Algebra......................................................................................95<br />
Complex Basis Vectors..................................................................................................... 96<br />
Additivity of MMF and Current Space Vectors................................................................ 99<br />
The SV as a Distribution .....................................................................................................103<br />
MMF Space Vector and its Distribution.........................................................................104<br />
Current Space Vector and its Interpretation....................................................................111<br />
The SV as a Linear Transformation; Reference Frame Theory ..........................................115<br />
Clarke Transform............................................................................................................115<br />
Scaling & Trajectories ....................................................................................................120<br />
Inverse Clarke Transform ...............................................................................................124<br />
Projections ......................................................................................................................125<br />
Park Transform; Reference Frame Theory .....................................................................129<br />
Comparison with Phasor.................................................................................................139<br />
Part III – SV Theory Applied to Sinusoidal BPMS Motor......................................................143<br />
Electrical Models.................................................................................................................143<br />
Stationary Frame.............................................................................................................143<br />
Rotor Frame ....................................................................................................................146<br />
Torque Production...............................................................................................................152<br />
Electromechanical Models ..................................................................................................154<br />
Stationary Frame.............................................................................................................154<br />
Rotor Frame ....................................................................................................................157<br />
CHAPTER 4 - Inverters and Space Vector Modulation .............................................................. 160<br />
Overview of Voltage Source Inverters ....................................................................................161<br />
Gating and Leg Control Schemes........................................................................................163<br />
Inverter Control Methods....................................................................................................165<br />
Six-Step Squarewave ......................................................................................................166<br />
Six-Step PWM ................................................................................................................169<br />
PWM...............................................................................................................................170<br />
Triplen Harmonic Injection.................................................................................................175<br />
Space Vector Modulation (SVM)............................................................................................178<br />
States and Neutral Voltage..................................................................................................178<br />
Space Vectors, Magnitudes, and Trajectories .....................................................................181<br />
Space Vector Averaging and Overmodulation....................................................................188<br />
SVM Switching Schemes....................................................................................................193<br />
SVM Implementation..........................................................................................................197<br />
SVM Pole Voltage and ZS Component ..............................................................................198<br />
Modulation Index ................................................................................................................201<br />
Summary and Conclusion........................................................................................................205<br />
iv