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Predictive Control of Three Phase AC/DC Converters

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010UP3<br />

β<br />

23<br />

Figure 2.4: Representation <strong>of</strong> VSC <strong>AC</strong>-side voltage as space vector<br />

111<br />

110<br />

10 CHAPTER 2. VOLTAGE SOURCE CONVERTER<br />

<strong>AC</strong>-side voltage can be described as a complex space vector (2.3).<br />

U P (i) =<br />

{<br />

2<br />

3 U <strong>DC</strong> e j(i−1) π 3 for i = 1 . . . 6<br />

0 for i = 0, 7<br />

(2.3)<br />

Active vectors correspond to phase voltage in relation 1 3 and 2 3<br />

to the <strong>DC</strong>-link<br />

voltage U <strong>DC</strong> . Zero vectors apply zero voltage at the <strong>AC</strong>-side <strong>of</strong> converter, because<br />

all three branches are connected to positive or negative <strong>DC</strong>-link bus.<br />

011<br />

UP1 U<strong>DC</strong> UP4 α UP6 UP0,7 100 000<br />

UP5<br />

001<br />

Voltage Source Converter (VSC) can be represented in different coordinate<br />

systems. Figure 2.5 shows single phase representation <strong>of</strong> VSC where: U L is space<br />

vector <strong>of</strong> line voltage, I L is space vector <strong>of</strong> line current, U<br />

101<br />

P is space vector <strong>of</strong> VSC<br />

input voltage. The U P voltage is controllable, and depends on applied voltage<br />

vector (see (2.3) and Fig. 2.4). Due to changes <strong>of</strong> U P magnitude and phase,<br />

line current can be controlled by voltage drop on the input choke. As it can be<br />

noticed, input choke is essential part <strong>of</strong> the converter, because it brings current<br />

source character, and provides boost feature <strong>of</strong> converter.<br />

Figure 2.5: Single phase representation <strong>of</strong> VSC<br />

R<br />

IL UP<br />

Figure 2.6 presents general phasor diagrams for rectification and inverting mode<br />

with and without unity power factor operation.<br />

ULL

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