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Christoph Haederli - Les thèses en ligne de l'INP - Institut National ...

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52 3-L DC Link ML Converter Properties<br />

(b): all converters have series connected unipolar switches connecting the DC link directly to the<br />

output, and forming a g<strong>en</strong>eric triangle. The output voltage is thus constrained to within the DC link<br />

pot<strong>en</strong>tial. No boosting is possible. Multiple flying capacitors can be integrated in a switch circuit<br />

within the triangle formed by the outer switches. The required blocking voltage in any switch<br />

position is indicated by the number of series connected <strong>de</strong>vices in the g<strong>en</strong>eric repres<strong>en</strong>tation.<br />

However, this doesn’t necessarily mean commutation takes place with the according voltage. In the<br />

SMC for example, the outer switches need to block twice the voltage of an inner switch, but they<br />

only need to actively commutate a single level voltage. Double the blocking voltage is only required,<br />

as the output voltage may be pulled to the other rail by the opposite MC converter branch. The<br />

most important repres<strong>en</strong>tatives of this family of converters are the previously introduced (A) NPC,<br />

the ML-ANPC, and the SMC shown in Figure 25 and Figure 26. The new topologies according to<br />

Figure 31 and Figure 32 also belong to that family and have similar properties as the ANPC 2.<br />

Operating principles according to the state of the art are <strong>de</strong>scribed in this chapter. More<br />

sophisticated approaches are pres<strong>en</strong>ted in the following chapters on new control and modulation<br />

schemes.<br />

4.1.1 Some <strong>de</strong>finitions<br />

For the analysis of the converter properties, PWM is used (carrier based or SVM) and only<br />

optimal modulation is consi<strong>de</strong>red, applying only single level steps in the output. Average values are<br />

used for the <strong>de</strong>scription of the NP curr<strong>en</strong>t. The impact of the curr<strong>en</strong>t ripple is not consi<strong>de</strong>red. This<br />

can be done if the switching frequ<strong>en</strong>cy is significantly higher than the fundam<strong>en</strong>tal frequ<strong>en</strong>cy.<br />

Based on those assumptions, we can state the following:<br />

- All curr<strong>en</strong>ts in the system can be <strong>de</strong>scribes in function of load curr<strong>en</strong>ts and duty<br />

cycles (α) of the commutation cells.<br />

The following examples with the basic commutation cells illustrate the relationship betwe<strong>en</strong><br />

curr<strong>en</strong>ts and duty cycles.<br />

S1<br />

U DC<br />

S2<br />

I out<br />

U out<br />

Z load<br />

Figure 45, Half bridge with load<br />

t<br />

= T t T t t<br />

(30)<br />

S1 _ on MP<br />

−<br />

S1 _ off<br />

=<br />

MP<br />

−<br />

S 2 _ on<br />

=<br />

t<br />

= d1 = 1 − d =<br />

S 2 _ off<br />

S1_<br />

on<br />

α<br />

2<br />

(31)<br />

TMP

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