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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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The four winding-rotor combinations studied are shown in Figure C.18. Keeping with the<br />

directionality used in Figure C.1, Figure C.18 shows the rotor flux interacting with the winding<br />

function (which is “represented” by the MMF) to produce the rotor-stator flux linkage for each<br />

winding-rotor combination. Since there is a one-to-one relationship between the winding and its<br />

MMF, the MMF can be used to graphically depict the “effect” of the winding rather than its<br />

physical distribution.<br />

Figure C.18 – Summary of MMF and rotor-stator flux linkage results.<br />

Figure C.18 simply summarizes the qualitative observations so far, but a quantitative look is<br />

required to gain a complete understanding. Figure C.19 shows the amplitudes of the components<br />

of Figure C.18. Some shorthand notation is used:<br />

1<br />

1 represents<br />

3<br />

1<br />

1cos( r) cos(3 r)<br />

(the Fourier series of a squarewave); any single digit is thus<br />

3<br />

associated with the fundamental cos( r ) ; and only the numerical portion of the amplitude is<br />

shown because the parameter constants are always the same ( NDY Bp).<br />

300

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