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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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Figure 5.5 – SV diagram for most efficient torque production; stationary frame.<br />

<br />

ˆ jref i Ie I e<br />

R R<br />

p<br />

<br />

jr<br />

e<br />

<br />

jr<br />

2 <br />

All sinusoidal synchronous motor controllers must maintain a fixed space-phase relationship like<br />

this. Instead of using a sinusoidal commutator to generate reference signals using trigonometric<br />

functions, the reference could be generated in the rotor reference frame. A space vector is defined<br />

by its components and it is clear that for optimal torque generation, the direct-axis component<br />

should be zero. In that case torque is linearly proportional to the quadrature-axis component, thus<br />

the reference is generated using Equation (5.6).<br />

i<br />

ref<br />

q<br />

T<br />

(5.4)<br />

(5.5)<br />

ref<br />

T<br />

(5.6)<br />

K<br />

The torque controller in the rotor reference frame is shown in Figure 5.6, where the first block is<br />

the inverse Park transform. The current reference signals generated are those shown in Figure 5.8a,<br />

Figure 5.8-b, and Figure 5.8-c.<br />

Figure 5.6 – Torque control in rotor reference frame.<br />

In the previous two schemes it was entirely obvious that rotor position was needed in order to<br />

properly phase the currents to produce torque. The same is true with this controller but there is<br />

212

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