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Predictive Control of Three Phase AC/DC Converters

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34 CHAPTER 3. CONTROL STRATEGIES FOR VSC<br />

200<br />

150<br />

100<br />

50<br />

(a)<br />

500<br />

400<br />

300<br />

200<br />

100<br />

(c)<br />

u P a<br />

u La<br />

0.1 0.105 0.11 0.115 0.12<br />

0<br />

−50<br />

−100<br />

−150<br />

0<br />

−100<br />

−200<br />

−300<br />

−400<br />

−200<br />

0.1 0.105 0.11 0.115 0.12<br />

15<br />

10<br />

(b)<br />

−500<br />

2500<br />

2000<br />

(d)<br />

P Q<br />

i La<br />

0.1 0.102 0.104 0.106 0.108 0.11 0.112<br />

5<br />

1500<br />

0<br />

1000<br />

−5<br />

500<br />

−10<br />

0<br />

−15<br />

0.1 0.105 0.11 0.115 0.12<br />

−500<br />

Figure 3.22: Steady state operation <strong>of</strong> ST-DPC: (a) line voltage u La [V], (b) line<br />

current i La [A], (c) VSC input voltage u P a [V], (d) referenced and measured<br />

active P [W] and reactive power Q [var]<br />

5<br />

DPC-SVM<br />

Fundamental (50Hz) = 7.873 , THD= 3.21%<br />

5<br />

ST-DPC<br />

Fundamental (50Hz) = 7.926 , THD= 5.42%<br />

4.5<br />

4.5<br />

4<br />

4<br />

Mag (% <strong>of</strong> Fundamental)<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

Mag (% <strong>of</strong> Fundamental)<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

1<br />

0.5<br />

0.5<br />

0<br />

0 50 100 150 200 250 300 350 400<br />

Harmonic order<br />

0<br />

0 50 100 150 200 250 300 350 400<br />

Harmonic order<br />

Figure 3.23: Line current harmonics spectrum<br />

In case <strong>of</strong> ST-DPC, switching frequency depends on switching table construction,<br />

sampling frequency, hysteresis controllers band, <strong>DC</strong>-link voltage, and converter<br />

load. For ST-DPC switching table has been designed in order to avoid<br />

transistor switchings under maximum current conduction (Fig. 3.24 (b)).<br />

Figure 3.23 shows line current i L harmonic spectrum up to 20 kHz. In case<br />

<strong>of</strong> DPC-SVM harmonic spectrum is concentrated around multiple <strong>of</strong> sampling<br />

frequency. For ST-DPC harmonic spectrum is spread over wide range <strong>of</strong> frequen-

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