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minor typo corrections to ex04
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wallscheid committed Feb 2, 2025
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2 changes: 1 addition & 1 deletion exercise/main.tex
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\documentclass[solution]{../course_template/exerciseClass}
\title{Power Electronics}

\includeonly{tex/exercise07}
\includeonly{tex/exercise04}

\begin{document}
\include{tex/exercise01}
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6 changes: 3 additions & 3 deletions exercise/tex/exercise07.tex
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i^\mathrm{(1)}_\mathrm{2}(t) = \frac{u^\mathrm{(1)}_\mathrm{2}(t) - u_{2\mathrm{i}}(t)}{j \omega_\mathrm{2} L},
\label{7.1.2:eq:i_2_fund}
\end{equation}
which can be representred in phasor as
which can be represented in phasor as
\begin{equation}
i^\mathrm{(1)}_\mathrm{2}(t) = \frac{\hat{u}^\mathrm{(1)}_\mathrm{2} e^{j \cdot 0} - \hat{u}_{2\mathrm{i}} e^{j \cdot \frac{\pi}{6}}}{j \omega_\mathrm{2} L} = \frac{\hat{u}^\mathrm{(1)}_\mathrm{2} - \hat{u}_{2\mathrm{i}} \cos(\frac{\pi}{6}) + j \hat{u}_{2\mathrm{i}} \sin(\frac{\pi}{6})}{j \omega_\mathrm{2} L}.
\label{7.1.2:eq:i_2_fund_phasor}
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Hint: The current harmonics $i^{(k)}_\mathrm{2}(t)$ are free of any bias.}
\begin{solutionblock}
The harmonics $u^{(k)}_\mathrm{2}(t)$ can be calculated from the output voltage $u_\mathrm{2}(t)$ and the fundamnetal component $u^{(1)}_\mathrm{2}(t)$ with
The harmonics $u^{(k)}_\mathrm{2}(t)$ can be calculated from the output voltage $u_\mathrm{2}(t)$ and the fundamental component $u^{(1)}_\mathrm{2}(t)$ with
\begin{equation}
u^{(k)}_\mathrm{2}(t) = u_\mathrm{2}(t) - u^{(1)}_\mathrm{2}(t),
\label{7.1.2:eq:u_2_harm}
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\end{cases}
\bigskip
\end{align*}
Sketch the switching states in the correct chronological order for one periode.
Sketch the switching states in the correct chronological order for one period.
Calculate and sketch the voltages $u_\mathrm{2a0}(t)$, $u_\mathrm{2b0}(t)$ and $u_\mathrm{2c0}(t)$
depending on these switching states.}
\begin{solutionblock}
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