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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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-