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\documentclass{article}
\begin{document}
Engineering Electromagnetics
Laboratory Exercise No. 4: Moving Magnetic Fields
Objective
In this lab, you will use Maxwell\textquotesingle s Transient Solver to
model Faraday\textquotesingle s Law. You will model a
magnetic field moving through and around a coil to induce current within
the coil.
\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
A tutorial can be found at the following links:
\begin{itemize}
\item
\url{https://www.youtube.com/watch?v=LW9TcpkZaZY}~ (Part 1)
\item
\url{https://www.youtube.com/watch?v=MruPdh_6hi0}~ (Part 2)
\item
\url{https://www.youtube.com/watch?v=ZGn-gQPVn3Y} (Part 3)
\end{itemize}
1 Current Induced by Magnetic Field
You will demonstrate how the electric and magnetic fields react to a
magnet moving through an inductor.
\textbf{Structure}
\textbf{Coil}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
\begin{quote}
Create a 5-turn coil with an outer diameter 2 mm and wire thickness of
0.4 mm (diameter).
\end{quote}
\item
\begin{quote}
Extend the faces of the coil ends
\end{quote}
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
\begin{quote}
Select the face
\end{quote}
\item
\begin{quote}
Right Click =\textgreater{} Select Surface =\textgreater Sweep Along
Normal (for 5 mm)
\end{quote}
\end{enumerate}
\item
\begin{quote}
Select the coil and face extrusions and unite them
\end{quote}
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
\begin{quote}
Select all and Right-Click
\end{quote}
\item
\begin{quote}
Edit =\textgreater{} Boolean =\textgreater{} Unite
\end{quote}
\end{enumerate}
\item
\begin{quote}
Change the material to copper
\end{quote}
\end{enumerate}
\includegraphics[width=4.62425in,height=3.6118in]{media/image1.png}
\begin{quote}
\textbf{Magnet}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Create a Regular Polyhedron
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
A shape of 8 segments
\item
A height of 1 mm and a diameter of 0.5 mm
\end{enumerate}
\item
Change the material to NdFe36
\end{enumerate}
\includegraphics[width=1.4694in,height=1.7165in]{media/image2.png}
\begin{quote}
\textbf{Band}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Create a Regular Polyhedron
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
A shape of 12 segments
\item
A height of 25 mm and a diameter of 1 mm
\end{enumerate}
\item
Change the material to vacuum
\item
(Optional) Change the transparency to 75\%
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Select and Right-Click
\item
Edit =\textgreater{} Properties =\textgreater{} Transparent
=\textgreater{} 0.75
\end{enumerate}
\end{enumerate}
\includegraphics[width=3.67752in,height=4.24509in]{media/image3.png}
\begin{quote}
\textbf{Region}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Create a Region
\item
The Region can have 0 padding in all directions.
\end{enumerate}
\includegraphics[width=3.54241in,height=3.94432in]{media/image4.png}
\textbf{Simulation}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Transient for the Solution Setup
\item
Add Motion Setup to the Band
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Select Band
\item
Go to Maxwell 3D =\textgreater{} Model =\textgreater{} Motion Setup
=\textgreater{} Assign Band
\item
Double-check that the motion will be along the z-axis
\end{enumerate}
\item
Set the initial position
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Go to the Data tab
\item
Set the initial position between the bottoms of the band and coil
\item
Add the negative and positive limits above bottom of the band and
below the bottom of the coil
\item
Set the negative limit to the initial position
\item
Set the positive limit translational limit between the band and
above the coil
\end{enumerate}
\item
Set the velocity
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Mechanical tab and set the velocity in mm/s.
\item
Set the velocity to 10 mm/s
\end{enumerate}
\end{enumerate}
\begin{quote}
\textbf{Excitation}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Add a Coil Terminal Excitation
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Select the face of the end of the coil and Right-Click
\item
Assign Excitation =\textgreater{} Coil Terminal
\item
Number of conductors is one
\item
Do this for each face, they should both be going in the same
direction
\end{enumerate}
\item
Add a winding
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Add the two coil terminals to it
\item
Go to the Properties
\begin{enumerate}
\def\labelenumiii{\roman{enumiii}.}
\item
Set the type to external solid
\item
Set the initial current to 0 A
\end{enumerate}
\end{enumerate}
\end{enumerate}
\begin{quote}
\textbf{External Circuit}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Assign the RL Circuit to the coil
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Select one of the faces of the coil and Right-Click
\item
Assign Excitation =\textgreater{} External Circuit =\textgreater{}
Edit External Circuit =\textgreater Add Circuit
\end{enumerate}
\item
Create the RL Circuit
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Go to Project and ``Insert Maxwell Circuit Design''
\item
Connect a 100 Ohm Resistor and an Inductor in series
\begin{enumerate}
\def\labelenumiii{\roman{enumiii}.}
\item
No power supply and ground one side
\end{enumerate}
\end{enumerate}
\item
Export the netlist, Maxwell Circuit =\textgreater{} Export Netlist
\end{enumerate}
\includegraphics[width=2.92497in,height=1.83722in]{media/image5.png}
\textbf{Eddy Currents}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Add an Eddy Circuit Excitations to the helix(Maxwell 3D → Excitations
→ Set Eddy Effects).
\end{enumerate}
\begin{quote}
\textbf{Mesh Operations}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Select the coil and Right-Click
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Assign Mesh Operations =\textgreater{} Inside Selection
=\textgreater{} Length Based
\item
Number of elements should be 10,000
\end{enumerate}
\end{enumerate}
\begin{quote}
\textbf{Solution Setup}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Add a solution setup.
\item
Assign the stop time to when your magnet will finish moving.
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Stop time at 10 ms with steps of 0.2 ms
\item
Do this in both the General and Save Fields tab
\end{enumerate}
\item
Go the Save Field tab
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Change your step size to have at least 10 steps
\item
Click the replace list button
\end{enumerate}
\end{enumerate}
\begin{quote}
\textbf{Magnetic Field}
\end{quote}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\item
Add the Magnetic Field Vector or Magnitude
\begin{enumerate}
\def\labelenumii{\alph{enumii}.}
\item
Select the Region and Right-Click
\item
Fields =\textgreater{} B =\textgreater{} Mag\_B or B\_Vector
\item
Analyze all and you should be good to go!
\end{enumerate}
\end{enumerate}
Calculator
Use the Ansys calculator to get the current leaving the coil as a
function of the magnet passing through the coil. You should be able to
plot this as a function of distance or time since the magnet is moving
at a constant speed.
Variables
Repeat the example twice with the magnet outside of the coil at
different distances. Keep
the magnet perpendicular to the coil.
Laboratory Write-up
Explain your results. Handing in excellent data without explanations is
not enough. There should be an introduction to the lab, figures of
results, Maxwell code (if necessary; preferably in an appendix), an
explanation for each figure, and a summary of what you learned in the
exercise.
Use App Note format for this report. Templates can be found on Canvas.
\end{document}

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