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

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3-L DC Link ML Converter Properties 87<br />

- Sinusoidal average switching function with DC CM offset but no harmonics<br />

- Sinusoidal average switching function with dominant fundam<strong>en</strong>tal, harmonics of any or<strong>de</strong>r<br />

but no DC CM offset.<br />

These two cases can be analytically calculated in closed form. Both are highly useful for a basic<br />

un<strong>de</strong>rstanding of NP curr<strong>en</strong>t characteristics and its behavior un<strong>de</strong>r disturbance conditions. They<br />

can also be used for the <strong>de</strong>sign of a NP curr<strong>en</strong>t controller, as will be <strong>de</strong>monstrated in the next<br />

chapter. The key findings regarding harmonic relationships are:<br />

- A 2 nd harmonic on the line si<strong>de</strong> g<strong>en</strong>erates a relatively large DC NP curr<strong>en</strong>t due to the<br />

fundam<strong>en</strong>tal and the 3 rd harmonic in the switching function. This effect can also be used<br />

actively by g<strong>en</strong>erating a 2 nd line curr<strong>en</strong>t harmonic on purpose.<br />

- If there are 5 th and the 7 th harmonics in the line curr<strong>en</strong>t, they predominantly result in 3 rd and<br />

9 th harmonic in the NP curr<strong>en</strong>t, as they are coupled through the fundam<strong>en</strong>tal and the 3 rd in<br />

the switching function. This is usually not very relevant in operation, as amplitu<strong>de</strong>s are<br />

normally low.<br />

- A third harmonic is pres<strong>en</strong>t in the NP curr<strong>en</strong>t, if not comp<strong>en</strong>sated, due to the fundam<strong>en</strong>tal<br />

and the 3 rd harmonic in the switching function.<br />

- DC CM injection is most effective for DC NP curr<strong>en</strong>t g<strong>en</strong>eration in active power operation.<br />

- 2 nd and 6 th harmonic CM injection are most effective for DC NP curr<strong>en</strong>t g<strong>en</strong>eration in<br />

reactive power operation.

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