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Predictive Control of Three Phase AC/DC Converters

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Sector 2<br />

54 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL<br />

line voltage space vector position. The voltage plane is divided into twelve subsectors,<br />

exactly the same as in case <strong>of</strong> ST-DPC, see Fig. 3.9. The smallest current<br />

ripples can be achieved by application sequence <strong>of</strong> neighboring VSC vectors.<br />

Figure 4.9 shows an example <strong>of</strong> vector selection. Line voltage space vector<br />

is located in the first sector, so the switching sequence <strong>of</strong> U P is set to {1, 2, 7}.<br />

Table 4.4 summarizes U P sequences for all sectors.<br />

β<br />

Sector 3<br />

(110)<br />

UP2<br />

(000)<br />

UP0<br />

(111)<br />

UP7<br />

α<br />

UL<br />

(100)<br />

UP1<br />

(101)<br />

1<br />

Sector 11 Sector 12<br />

UP6<br />

Figure 4.9: Converter voltage vector U P selection in 1st sector<br />

Figure 4.10 shows graphical representation <strong>of</strong> U P sequences for all sectors.<br />

As it can be seen in Fig. 4.10, switching table (Tab. 4.4) has been constructed in<br />

order to reduce transistors switching loses. Note that, the U P sequence has been<br />

chosen in such way that VSC leg switchings do not happen during maximum line<br />

current conduction, and there are only two switchings per sampling time T s .<br />

4.6.4 Voltage Vectors Application Times<br />

Taking into account (4.36) and constant switching frequency requirement, control<br />

method has to determine t 1 , t 2 and t 3 voltage vectors application times.<br />

The predicted power values at the end <strong>of</strong> sampling time P P 6 , Q P 6 are considered<br />

as a referenced ones P ref , Q ref .<br />

P ref = P P 6<br />

Q ref = Q P 6<br />

(4.37)

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