Predictive Control of Three Phase AC/DC Converters
Predictive Control of Three Phase AC/DC Converters
Predictive Control of Three Phase AC/DC Converters
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U<strong>DC</strong> Filter<br />
20 CHAPTER 3. CONTROL STRATEGIES FOR VSC<br />
(a)<br />
(b)<br />
1.5<br />
Discretized Step Response From:I dref<br />
to I d<br />
1.5<br />
Discretized Step Response From:I dref<br />
to I d<br />
1<br />
1<br />
Amplitude<br />
Amplitude<br />
0.5<br />
0.5<br />
0<br />
1 1.0005 1.001 1.0015 1.002 1.0025 1.003 1.0035<br />
Time (sec)<br />
0<br />
1 1.0005 1.001 1.0015 1.002 1.0025 1.003 1.0035<br />
Time (sec)<br />
Figure 3.5: Step response <strong>of</strong> discretized active current control loop in VOC:<br />
(a) without prefilter, (b) with prefilter<br />
Figures 3.4 and 3.5 show step response <strong>of</strong> active current control loop without<br />
and with prefilter.<br />
For <strong>DC</strong>-link voltage controller design, inner current control loop can be represented<br />
as a first order transfer function where Voltage Source Converter time<br />
constant T I depends on inner current control loop.<br />
T I = 4τ t (3.5)<br />
Practical control implementation requires additional low pass filter (LPF) T fU<strong>DC</strong><br />
on measured <strong>DC</strong>-link voltage, which reduces voltage pulsations caused by transistors<br />
switching.<br />
T fU<strong>DC</strong> = 0.003[s] (3.6)<br />
<strong>Control</strong> loop can be modeled as shown in Fig. 3.6.<br />
1<br />
+1 sTfU<br />
-<br />
KPU(sTIU+1)<br />
U<strong>DC</strong>ref U<strong>DC</strong>reff U<strong>DC</strong>err Idref iload U<strong>DC</strong><br />
sTIU<br />
1<br />
sTIC+1<br />
-<br />
1<br />
sC<br />
Prefilter<br />
PI VSC & Filter <strong>DC</strong>-link<br />
Capacitor<br />
1<br />
sTfU<strong>DC</strong>+1<br />
I<strong>DC</strong> ic<br />
Figure 3.6: Block diagram <strong>of</strong> <strong>DC</strong>-link voltage control loop in VOC<br />
U<strong>DC</strong>f<br />
Symmetry optimum (SO) design method has been used for controller parameters<br />
calculation, which gives:<br />
K P U =<br />
C<br />
2(T I + T fU<strong>DC</strong> )<br />
(3.7)