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POLITECHNIKA WARSZAWSKA

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4. ANN based Current Controllers (CC)<br />

Based on work [34] (where it has been demonstrated that is possible to perform<br />

current vector control in an arbitrary coordinates), a synchronous controller working<br />

in the stationary coordinates α-β with ac components has been presented [33]. As<br />

shown in Fig.4.8b by the dashed line, the inner loop of the control system (consisting<br />

of two integrators and multipliers) is a variable frequency generator, which always<br />

produces reference voltages uαc , u βc for the PWM modulator, even when in the<br />

steady state the current error signals are zero.<br />

In general, thanks to the use of PWM modulators, the linear controllers make a well<br />

defined harmonic spectrum available, but their dynamic properties are inferior to<br />

those of bang-bang controllers.<br />

C. State Feedback Controller<br />

The conventional PI compensators in the current error compensation part can be<br />

replaced by a state feedback controller working in stationary [29] or synchronous<br />

rotating coordinates [13,25,27,28,30].<br />

Feedforward<br />

K f<br />

K d<br />

Disturbance<br />

U DC<br />

i sc<br />

+<br />

-<br />

K 2<br />

u sc<br />

PWM<br />

modulator<br />

Integral part<br />

K 1<br />

State<br />

feedback<br />

i s<br />

Three-phase<br />

Load<br />

Fig. 4.9. State feedback Current controller<br />

The controller of Fig. 4.9 works in synchronous rotating coordinates d-q and is synthesised<br />

on the basis of linear multivariable state feedback theory. A feedback gain<br />

matrix K=[K 1 ,K 2 ] is derived by utilising the pole assignment technique to guarantee<br />

sufficient damping. While with integral part (K 2 ) the static error can be reduced to<br />

zero, the transient error may be unacceptably large. Therefore, feedforward signals for<br />

the reference (K f ) and disturbance (K d ) inputs are added to the feedback control law.<br />

52

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