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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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Figure 3.6 – One electrical cycle of unit-amplitude, balanced sinusoidal general quantities.<br />

Now let Figure 3.6 represent the phase currents of a wye-connected stator with an isolated<br />

neutral. As a first example, use the ordinate as a reference line ( 0<br />

) and determine the three<br />

phase currents: IA is equal to 1.0 while IB and IC are both equal to –0.5. Since IA is positive and<br />

unity, its MMF component is exactly that shown in Figure 3.4. Since IB and IC are both negative<br />

and half-unity, their MMF components are of opposite polarity and are half the amplitude of<br />

those shown in Figure 3.4. At this position (zero electrical degrees), the component of MMF in<br />

the airgap due to each phase is shown in Figure 3.7. Also shown is the overall (“total” 12 ) MMF in<br />

the airgap; the peak of the total MMF is coincident with the electrical position of the three-phase<br />

currents (zero electrical degrees).<br />

12 “Resultant” would be a more appropriate term but it is nearly always reserved to describe the<br />

combination of stator and rotor magnetic fields and these will be discussed later.<br />

68

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