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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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Figure 5.23 – Field weakening controller.<br />

In summary, it has been shown that for a nonsalient rotor, torque control consists of setting<br />

id 0 and controlling the torque according to T KT iq.<br />

For a salient rotor both i d and i q<br />

must be controlled. Separate control of the “torque-producing” and “flux-producing” components<br />

of the stator current is possible using the FOC control structure, and this may be used to achieve<br />

flux weakening. However, for a salient rotor the torque control and the field-weakening control<br />

are not independent of one another. In addition to these fundamental ideas, several have been<br />

overlooked and the subject of flux weakening is far more complicated than presented here.<br />

Indeed, many of the details and interactions are beyond the author’s present understanding.<br />

First, it seems that the control of the two components of airgap flux is coupled in a synchronous<br />

machine (see [78, ch.5]) and it appears that this is the same as armature reaction flux [78, pp.249-<br />

250]. Second, as hinted by the key phrase above, “to the extent that the stator MMF creates flux<br />

in the airgap,” the stator MMF is not always capable of truly weakening the magnet flux. This is<br />

because the magnet has a relative permeability of near unity, thus the airgap is effectively very<br />

large [78, pp.250], [87, p.96], [68, p.103]; in salient machines the effect is more pronounced [69,<br />

p. 4.18]. This also has something to do with the discussion of internal permeance of the magnet,<br />

as discussed in Chapter 2, and it is the same as saying the armature reaction is small or that the<br />

synchronous reactance/inductance (Appendix B) is small. The degree to which field weakening<br />

can occur thus depends on the motor’s airgap, magnets, and saliency.<br />

If a BPMS motor does not experience flux weakening with a negative d-component of stator<br />

current, the question arises as to what happens when the stator current SV is advanced like that. It<br />

228

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