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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)

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