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LukasHoelsch committed Jul 20, 2024
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504 changes: 504 additions & 0 deletions exercise/add/ex05/sim_IM.ipynb

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10 changes: 7 additions & 3 deletions exercise/exerciseClass.cls
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\RequirePackage{circuitikz}
\RequirePackage{multirow}
\RequirePackage{newfloat}
\RequirePackage{mathtools}
\RequirePackage{placeins}

%% Tikz
\pgfplotsset{compat=1.18}
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%---Grafiken---
\graphicspath{ {./fig/} }
\graphicspath{ {./fig/ex03/} }
\graphicspath{ {./fig/ex04/} }
% \graphicspath{ {./fig/ex03/} }
% \graphicspath{ {./fig/ex04/} }
% \graphicspath{ {./fig/ex05/} }
% \graphicspath{ {./fig/ex06/} }


% Setup page geometry
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%% Solution figure %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentEnvironment{solutionfigure}{+b}{
\figure
\figure[htb]
\captionsetup{labelfont={color=blue},textfont={color=blue}}
\color{blue}
#1}
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2 changes: 1 addition & 1 deletion exercise/main.tex
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%Lecture Include Only%%%
%\includeonly{tex/exercise05}
\includeonly{tex/exercise05}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}
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24 changes: 12 additions & 12 deletions exercise/tex/exercise01.tex
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\begin{figure}[htb]
\centering
\import{fig/ex01/}{MagneticIronCircle.pdf_tex}
\import{ex01/}{MagneticIronCircle.pdf_tex}
\caption{Simplified sketch of a magnetic iron core. All dimensions of the iron core are given in mm.}
\label{fig:MagneticIronCircle}
\end{figure}

\begin{figure}[htb]
\centering
\import{fig/ex01/}{BH_curve.pdf_tex}
\import{ex01/}{BH_curve.pdf_tex}
\caption{Direct current magnetization curves of electrical steel for (1) hot rolled processing with a thickness of 0.5 mm and (2) cold rolled processing with a thickness of 0.35 mm. The magnetization curve in figure on the left side is a zoomed version of material (1) for lower field strengths.}
\label{fig:BH_curve}
\end{figure}
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\centering
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics{fig/ex01/MagneticIron3D.pdf}
\includegraphics{ex01/MagneticIron3D.pdf}
\caption{Iron yoke with a coil in the air gap.}
\label{fig:MagneticIron3D}
\end{subfigure}
\quad
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics{fig/ex01/CoilSurface.pdf}
\includegraphics{ex01/CoilSurface.pdf}
\caption{Orientation of the coil surface in the air gap of the given yoke.}
\label{fig:CoilSurface}
\end{subfigure}
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In the upper part of Fig.~\ref{fig:solution_FluxDensity} the trajectory of the current is shown. In addition, the trajectory of the magnetic flux density is visualized in the lower part.
\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_FluxDensity.pdf}
\includegraphics{ex01/solution_FluxDensity.pdf}
\caption{Trajectories of the current $i(t)$ in the upper and the magnetic flux density $B(t)$ in the lower part of the figure.}
\label{fig:solution_FluxDensity}
\end{figure}
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In the upper part of Fig.~\ref{fig:solution_InducedVoltage}, the calculated current from the previous task is shown again. The induced voltage is visualized in the lower part of the figure.
\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_InducedVoltage.pdf}
\includegraphics{ex01/solution_InducedVoltage.pdf}
\caption{Trajectories of the current $i(t)$ in the upper and the induced voltage $u_{\mathrm{i}}(t)$ in the lower part of the figure.}
\label{fig:solution_InducedVoltage}
\end{figure}
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\begin{figure}[htb]
\centering
\includegraphics{fig/ex01/ConductorInMagneticField.pdf}
\includegraphics{ex01/ConductorInMagneticField.pdf}
\caption{Current-carrying conductor in magnetic field.}
\label{fig:ConductorInMagneticField}
\end{figure}
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\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_equivalentCircuitDiagram.pdf}
\includegraphics{ex01/solution_equivalentCircuitDiagram.pdf}
\caption{Equivalent circuit diagram for the battery and resting conductor marked here with $R$.}
\label{fig:solution_EquivalentCircuitDiagram}
\end{figure}
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\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_LorentzForce.pdf}
\includegraphics{ex01/solution_LorentzForce.pdf}
\caption{Acting Lorentz force on the conductor in the air gap.}
\label{fig:solution_LorentzForce}
\end{figure}
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\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_movingConductor.pdf}
\includegraphics{ex01/solution_movingConductor.pdf}
\caption{Moving conductor with the induced voltage $u_{\mathrm{i}}$ as an external voltage, a) equivalent electrical circuit diagram, b) direction of the Lorentz force $F$.}
\label{fig:solution_movingConductor}
\end{figure}
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The Lorentz force and the friction force are visualized in Fig.~\ref{fig:solution_LorentzForce_balanceOfForces} after reaching the final speed.
\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_LorentzForce_balanceOfForces.pdf}
\includegraphics{ex01/solution_LorentzForce_balanceOfForces.pdf}
\caption{Indicates the balance of forces after reaching the final speed.}
\label{fig:solution_LorentzForce_balanceOfForces}
\end{figure}
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and the resulting values are shown in der right part of Fig.~\ref{fig:solution_conductorSpeed}.
\begin{figure}[ht]
\centering
\includegraphics{fig/ex01/solution_conductorSpeed.pdf}
\includegraphics{ex01/solution_conductorSpeed.pdf}
\caption{Current and force of the conductor in relationship to the velocity.}
\label{fig:solution_conductorSpeed}
\end{figure}
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8 changes: 4 additions & 4 deletions exercise/tex/exercise03.tex
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\begin{figure}[htb]
\centering
\includestandalone{fig/ex03/transformer}
\includestandalone{ex03/transformer}
\caption{The left side shows a simplified sketch of the transformer given in the task. On the right hand side a magnetization curve is given.}
\label{fig:transformer_magnetizationCurrent}
\end{figure}
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As described in the task, the windings are perfectly connected, which means, that no leakage flux occurs. In addition, the winding resistances and the iron losses of the transformer are neglected. This results in the equivalent circuit diagram shown in Fig.~\ref{fig:ex_transformer_T_ECD_core_losses_no_load}.
\begin{solutionfigure}
\centering
\includegraphics{fig/ex03/ex_transformer_T_ECD_core_losses_no_load.pdf}
\includegraphics{ex03/ex_transformer_T_ECD_core_losses_no_load.pdf}
\caption{Equivalent circuit diagram without leakage flux and neglected winding and iron losses.}
\label{fig:ex_transformer_T_ECD_core_losses_no_load}
\end{solutionfigure}
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The equivalent circuit diagram for the no-load operation with the iron loss resistance $R_{\mathrm{c}}$ is shown in Fig.~\ref{fig:ex_transformer_open_circuit_test}.
\begin{solutionfigure}
\centering
\includegraphics{fig/ex03/ex_Transformer_open_circuit_test.pdf}
\includegraphics{ex03/ex_Transformer_open_circuit_test.pdf}
\captionsetup{labelfont={color=blue},textfont={color=blue}}
\caption{Equivalent circuit diagram for the no-load test with the iron loss resistor $R_{\mathrm{c}}$.}
\label{fig:ex_transformer_open_circuit_test}
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In this example is the peak current value during the transient process approximately double than in the steady state, which can trigger the overcurrent protection. Therefore, the magnetization current should be kept low and the overcurrent protection must be able to handle the inrush current.
\begin{solutionfigure}
\centering
\includegraphics{fig/ex03/current_transformer.pdf}
\includegraphics{ex03/current_transformer.pdf}
\caption{Current of the transformer, when the voltage is applied at two different angles for $\alpha$.}
\label{fig:current_transformer}
\end{solutionfigure}
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10 changes: 5 additions & 5 deletions exercise/tex/exercise04.tex
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The calculation is performed with \eqref{eq:harmonicOrderFluxDensity} in a separate Python script. The resulting trajectories are shown in Fig.~\ref{fig:fundamentalAnd11thHarm}.
\begin{solutionfigure}
\centering
\includegraphics{FundamentalAnd11thHarmonic.pdf}
\includegraphics{ex04/FundamentalAnd11thHarmonic.pdf}
\caption{Visualization of the flux density of the fundamental wave and the $11\textsuperscript{th}$ harmonic of phase~a.}
\label{fig:fundamentalAnd11thHarm}
\end{solutionfigure}
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\begin{figure}[htb]
\centering
\includegraphics{MMF_distributed.pdf}
\includegraphics{ex04/MMF_distributed.pdf}
\caption{Simplified sketch of a distributed winding scheme. Only phase a is shown.}
\label{fig:MMF_distributed}
\end{figure}
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The sketch of the distributed winding scheme is visualized in Fig.~\ref{fig:solution_MMF_distributed}.
\begin{solutionfigure}
\centering
\includegraphics{solution_MMF_distributed.pdf}
\includegraphics{ex04/solution_MMF_distributed.pdf}
\caption{Solution of the distributed winding.}
\label{fig:solution_MMF_distributed}
\end{solutionfigure}
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\begin{figure}[htb]
\centering
\includegraphics{MMF_concentrated.pdf}
\includegraphics{ex04/MMF_concentrated.pdf}
%\captionsetup{labelfont={color=blue},textfont={color=blue}}
\caption{Simplified sketch of a concentrated winding. Only phase a is shown.}
\label{fig:MMF_concentrated}
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The completed winding scheme is visualized in Fig.\ref{fig:solution_MMF_concentrated}.
\begin{solutionfigure}
\centering
\includegraphics{solution_MMF_concentrated.pdf}
\includegraphics{ex04/solution_MMF_concentrated.pdf}
\captionsetup{labelfont={color=blue},textfont={color=blue}}
\caption{Solution of the concentrated winding scheme.}
\label{fig:solution_MMF_concentrated}
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