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SENSORLESS FIELD ORIENTED CONTROL OF BRUSHLESS ...

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variables to the stationary reference frame. 37 The stationary regulators are just as they were before<br />

in the impressed-current (thus open-loop) case, but there is a problem: the α- and β- current<br />

components do not exist. The simple answer is to use the Clarke transform to obtain them, as<br />

shown in Figure 5.11. 38<br />

Figure 5.11 – Torque control of sinusoidal motor; stationary reference frame.<br />

It is clear that the current regulators are still handling the AC quantities. In the impressed-current<br />

system, the next step was to generate the current reference in the rotor frame, thereby eliminating<br />

the quadrature-phase sinusoidal commutator and replacing it with the inverse Park transform.<br />

This is also the next step here. In addition, we will simultaneously move the current regulators to<br />

the rotor frame, as shown in Figure 5.12.<br />

37 The stationary reference frame is so called because it is fixed to the stator (it is also called the stator<br />

reference frame). When drawing SV diagrams this is a clear interpretation, as the 0° reference never moves.<br />

But in the control systems shown above, the control variables were “stationary” (unchanging DC<br />

quantities) in the rotor frame and the signals oscillate in the stationary reference frame. One might use<br />

caution in reading the popular literature, as sometimes the DC signals are referred to as “stationary signals”<br />

but this does not mean they are in the stationary frame.<br />

38 Notice that the problem mentioned in Footnote (36) is no longer of any concern because there are only<br />

two commands generated and these dq or αβ components cannot contain a ZS component. Further, the<br />

inverse Clarke transform is not capable of generating a ZS component!<br />

217

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