updated the TS-DC-schematic
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@ -93,7 +93,7 @@ and the maximum voltage of the accumulator is 403.2V.\cite{emdriver_datasheet} U
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\end{wrapfigure}
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\end{wrapfigure}
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To calculate how many discharge attempts can be made before the discharge time exceeds \SI{5}{\second},
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To calculate how many discharge attempts can be made before the discharge time exceeds \SI{5}{\second},
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we first determine the temperature at which the PTC has a resistance of \SI{13123}{\ohm}. This value can be obtained from the PTC's datasheet (see Fig.~\ref{fig:PTC_T_R})~\cite{ptc_datasheet}.
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we first determine the temperature at which the PTC has a resistance of \SI{13123}{\ohm}. This value can be obtained from the PTC's datasheet (see Fig.~\ref{fig:PTC_T_R}).\cite{ptc_datasheet}
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From the graph, the corresponding temperature is approximately \SI{165}{\celsius}.
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From the graph, the corresponding temperature is approximately \SI{165}{\celsius}.
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We assume the PTC reaches this temperature instantly after each discharge and that heat dissipation is negligible (since the thermal time constant $\tau_{th}$ is \SI{130}{\second}).
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We assume the PTC reaches this temperature instantly after each discharge and that heat dissipation is negligible (since the thermal time constant $\tau_{th}$ is \SI{130}{\second}).
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@ -124,7 +124,7 @@ Therefore, the number of discharges possible before the discharge time exceeds \
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We can find the equilibrium temperature by finding the temperature at which the heat loss is equal to the power emitted.
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We can find the equilibrium temperature by finding the temperature at which the heat loss is equal to the power emitted.
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To find that, we first convert the graph provided in the datasheet (fig. \ref{fig:PTC_T_R}) to a Look Up Table (LUT), a \hyperref[py_script]{python script} is then created
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To find that, we first convert the graph provided in the datasheet (fig. \ref{fig:PTC_T_R}) to a Look Up Table (LUT), a \hyperref[py_script]{python script} is then created
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with the two function listed below to find the equilibrium point. \\
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with the two function listed below to find the equilibrium point. \\
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($DF$: dissipation factor. For the used PTC: \SI{19.5}{\milli\watt/\kelvin}).
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($DF$: dissipation factor. For the PTC used: \SI{19.5}{\milli\watt/\kelvin}).
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\begin{align}
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\begin{align}
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(T_{eq} - T_{amb}) \cdot DF = & P_{dissipated} \\
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(T_{eq} - T_{amb}) \cdot DF = & P_{dissipated} \\
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@ -135,14 +135,13 @@ After the execution of the script, we can see that the power dissipation at equi
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The equilibrium temperature and the corresponding resistance calculated is then \SI{139}{\celsius} and \SI{88.5}{\kilo\ohm} accordingly.
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The equilibrium temperature and the corresponding resistance calculated is then \SI{139}{\celsius} and \SI{88.5}{\kilo\ohm} accordingly.
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We can see that this is smaller then the maximum temperature rated at \SI{165}{\celsius}.
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We can see that this is smaller then the maximum temperature rated at \SI{165}{\celsius}.
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To find whether the MOSFET STB10LN80K5 can survive the permanent TS voltage, we first have to calculate the current going through it.
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To find whether the MOSFET STB10LN80K5 can survive the permanent TS voltage, we first have to calculate the current going through it. \cite{mosfet_datasheet}
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\begin{align}
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\begin{align}
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I & = V/R = \SI{403.2}{\volt}/\SI{88.5}{\kilo\ohm} \\
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I & = V/R = \SI{403.2}{\volt}/\SI{88.5}{\kilo\ohm} \\
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& = \SI{4.56}{\milli\ampere}
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& = \SI{4.56}{\milli\ampere}
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\end{align}
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\end{align}
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Since the MOSFET drain current $I_D$ is rated for 8A, it will work under permanent TS voltage. \cite{mosfet_datasheet}
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Since the MOSFET drain current $I_D$ is rated for 8A, it will work under permanent TS voltage.
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\newpage
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\newpage
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\section*{Python script}
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\section*{Python script}
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@ -155,7 +154,7 @@ Since the MOSFET drain current $I_D$ is rated for 8A, it will work under permane
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\renewcommand\refname{Reference}
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\renewcommand\refname{Reference}
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\begin{thebibliography}{00}
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\begin{thebibliography}{00}
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\bibitem{emdriver_datasheet} \textit{emDrive HXXX Datasheet}. \href{https://emsisosi.sharepoint.com/sites/EMSISOWebsite/Shared%20Documents/Forms/AllItems.aspx?id=%2Fsites%2FEMSISOWebsite%2FShared%20Documents%2FGeneral%2FemDrive%20Controllers%20web%20data%2FUser%20Manual%2FemDrive%20User%20Manual%5Fv2%5F3%2Epdf&parent=%2Fsites%2FEMSISOWebsite%2FShared%20Documents%2FGeneral%2FemDrive%20Controllers%20web%20data%2FUser%20Manual&p=true&ga=1}{emsisosi.sharepoint.com}
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\bibitem{emdriver_datasheet} \textit{emDrive HXXX Datasheet}. \href{https://www.emdrive-mobility.com/portfolio/emdrive-h100/}{www.emdrive-mobility.com}
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\bibitem{ptc_datasheet} \textit{Vishay PTCEL13R251NxE Datasheet}. \href{https://www.vishay.com/docs/29165/ptcel_series.pdf}{www.vishay.com}, 09.2024
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\bibitem{ptc_datasheet} \textit{Vishay PTCEL13R251NxE Datasheet}. \href{https://www.vishay.com/docs/29165/ptcel_series.pdf}{www.vishay.com}, 09.2024
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\bibitem{mosfet_datasheet} \textit{ST STB10LN80K5 Datasheet}. \href{https://www.st.com/resource/en/datasheet/stb10ln80k5.pdf}{www.st.com}, 02.2016
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\bibitem{mosfet_datasheet} \textit{ST STB10LN80K5 Datasheet}. \href{https://www.st.com/resource/en/datasheet/stb10ln80k5.pdf}{www.st.com}, 02.2016
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