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

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NP Control with Carrier based PWM 111<br />

Ess<strong>en</strong>tially, there are 4 new types of states indicated with type 3 in TABLE 43. All others<br />

correspond with the states of the type 1, type 2 converters or are available in all ML ANPC<br />

converters. Two of these extra states g<strong>en</strong>erate a zero output (neutral point output) without<br />

g<strong>en</strong>erating a NP curr<strong>en</strong>t. These states alone cannot balance the FC voltages, so that they need to be<br />

combined with the other remaining new states as indicated in Figure 70.<br />

1<br />

2<br />

3<br />

4<br />

1<br />

2<br />

Figure 70, ANPC type 3 with type 3 zero voltage output states, coloring corresponds with TABLE 43<br />

The resulting NP curr<strong>en</strong>t for NP voltage output is ½ as can be se<strong>en</strong> from the table in Figure<br />

71 (b). This corresponds with the NP curr<strong>en</strong>t g<strong>en</strong>erated for –U DC/4 and +U DC/4. It can be<br />

expected that a proper modulation schemes making a linear combination of the required states will<br />

yield a constant NP curr<strong>en</strong>t of ½ for V out from –U DC/4 to +U DC/4. Outsi<strong>de</strong> of that range, there are<br />

no type 3 states available and the standard NP curr<strong>en</strong>t function applies (see Figure 72 b).<br />

5.3.1.1 Design of a suitable modulation scheme<br />

The following modulation schemes apply single commutations betwe<strong>en</strong> adjac<strong>en</strong>t states only<br />

and make use of the available redundant states. The carrier based PWM applies phase shifted<br />

carriers for the 4 cells. There are 6 differ<strong>en</strong>t sequ<strong>en</strong>ces possible; always two of them are equival<strong>en</strong>t<br />

as the sequ<strong>en</strong>ce is simply reversed. The 3 fundam<strong>en</strong>tally differ<strong>en</strong>t sequ<strong>en</strong>ces are shown in Figure<br />

71.<br />

A curr<strong>en</strong>t is flowing in the NP if the first cell of either stage 1 or stage 2 and the first cell of<br />

stage 3 are in differ<strong>en</strong>t states. This corresponds with regions <strong>en</strong>closed by carrier 1 and carrier 3 in<br />

Figure 71. Obviously, this region is larger in the case of a large phase shift and smaller for the case<br />

of a small phase shift, which is reflected in the average NP curr<strong>en</strong>ts. Not all possible carrier<br />

sequ<strong>en</strong>ces lead to a balanced operation. Sequ<strong>en</strong>ce {C 1C 4C 2C 3} applies type 3 zero outputs and<br />

results in all balanced flying capacitors. Sequ<strong>en</strong>ce {C 1C 2C 3C 4} and sequ<strong>en</strong>ce {C 1C 2C 4C 3} use type 3<br />

and standard zero outputs and g<strong>en</strong>erate unbalance in the flying capacitors. All capacitors will be<br />

balanced if the two types of sequ<strong>en</strong>ces are combined, resulting in a long sequ<strong>en</strong>ce<br />

{C 1C 2C 3C 4C 1C 2C 4C 3}.

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