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Predictive Control of Three Phase AC/DC Converters

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80 CHAPTER 5. INVESTIGATIONS OF CONTROL METHODS PERFORMANCE<br />

15<br />

(a)<br />

15<br />

(b)<br />

2 kW<br />

1 kW<br />

10<br />

10<br />

∆ S [%]<br />

∆ S [%]<br />

5<br />

5<br />

2 kW<br />

1 kW<br />

0<br />

−100 −50 0 50 100<br />

∆ R [%]<br />

0<br />

−100 −50 0 50 100<br />

∆ R [%]<br />

Figure 5.5: Power error ∆S versus line choke resistance value mismatch ∆R in:<br />

(a) VSF-P-DPC, (b) CSF-P-DPC<br />

10<br />

9<br />

8<br />

7<br />

(a)<br />

10<br />

9<br />

8<br />

7<br />

(b)<br />

2 kW<br />

1 kW<br />

THD i400<br />

[%]<br />

6<br />

5<br />

4<br />

THD i400<br />

[%]<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

2 kW<br />

1 kW<br />

3<br />

2<br />

1<br />

0<br />

−100 −50 0 50 100<br />

∆ R [%]<br />

0<br />

−100 −50 0 50 100<br />

∆ R [%]<br />

Figure 5.6: Line current T HD i factor versus line choke resistance value mismatch<br />

∆R in: (a) VSF-P-DPC, (b) CSF-P-DPC<br />

5.2 On-line Choke Inductance Estimator<br />

As shown in Section 5.1.1 and 5.1.2 the P-DPC algorithm is mainly sensitive to<br />

mismatch <strong>of</strong> <strong>AC</strong>-side filter inductance L. Therefore, on-line choke estimation has<br />

been introduced to improve accuracy and stability <strong>of</strong> the control.<br />

Based on the input quantities (<strong>DC</strong>-link voltage U <strong>DC</strong> and transistor duty cycles<br />

S a , S b and S c ), the converter <strong>AC</strong>-side voltage estimator (3.37), (3.38) calculates<br />

U P αβ components, and next transforms into dq coordinates. The transformation<br />

can be performed either with line voltage U L (Fig. 5.7 (b)) or with virtual flux<br />

space vector Ψ L (Fig. 5.8 (b)). The measured line current vector I L is delivered<br />

to the block, which computes its module |I L |. Signals U P q (or U P d ) and |I L |<br />

after filtering in low-pass filter (LPF) blocks are delivered to the divider, which<br />

calculates the actual value <strong>of</strong> choke inductance L est (Fig. 5.7 (a) and Fig. 5.8 (a)).<br />

The estimated value is further used in VF estimator and predictive model. Note<br />

that inductance is calculated under assumption <strong>of</strong> unity power factor condition

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