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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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Figure 5.19 – Buried permanent magnet rotor.<br />

Field Weakening<br />

Field flux weakening (usually called field weakening or flux weakening) was originally a brushed<br />

DC motor concept and its purpose is simple to understand. Assume that a separately excited brush<br />

DC motor is loaded to maximum continuous rated torque at rated speed (known as base speed<br />

[25, p.405]); the armature and field currents will be at their maximum rated values. The<br />

magnitude of the bEMF is proportional to the rotational speed of the shaft, so at base speed it will<br />

be at a maximum value as well. In steady-state the terminal voltage is the sum of the bEMF and<br />

the resistive voltage drop (which is at maximum as well since the current is at maximum). The<br />

supply voltage under these conditions is the rated supply voltage which should not be exceeded;<br />

thus it can be though of as the maximum voltage available from the armature supply. Although<br />

the armature and field currents cannot be pushed beyond their limits, the motor can safely operate<br />

at speeds greater than base speed. With the armature voltage and current fixed, the only thing that<br />

can be changed is the field current. The bEMF constant K E is proportional to field flux. If the<br />

field current is lowered, less flux will be produced, which raises the value of the bEMF<br />

“constant.” Since the voltage “across the bEMF” (that is, the terminal voltage minus the fixed IR<br />

drop) is fixed, but K E has been increased, a greater shaft speed results. However, torque is<br />

proportional to field flux 39 so this increase speed comes at the cost of a reduction in torque.<br />

Therefore, the region of operation below base speed is characterized by constant maximum torque<br />

at any speed; this is accomplished via armature current control. Operation above base speed is<br />

39<br />

Recall that ke( r) kt(<br />

r)<br />

and for a brush DC motor this simplifies to KE KT<br />

, thus when K E is<br />

lowered K T will be lowered as well.<br />

225

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