updated the formating for AMS_T and temp-sens-dist
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group-separator = {.},
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group-separator = {.},
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input-decimal-markers={.},
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input-decimal-markers={.},
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% output-decimal-marker = {,},
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% output-decimal-marker = {,},
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group-minimum-digits=4}
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group-minimum-digits=9}
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\usepackage{graphicx}
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\usepackage{graphicx}
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\usepackage{fancyhdr}
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\usepackage{fancyhdr}
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\usepackage{lastpage}
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\usepackage{lastpage}
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\pagestyle{fancy}
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\pagestyle{fancy}
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\fancyhf{}
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\fancyhf{}
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\rhead{\includegraphics*[scale=0.03]{bilder/Fasttube-Logo.png}}
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\rhead{\includegraphics*[scale=0.01]{./bilder/FaSTTUBe_Logo_ohneAuto.png}}
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\rfoot{Page \thepage \hspace{1pt} of \pageref{LastPage}}
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\rfoot{Page \thepage \hspace{1pt} of \pageref{LastPage}}
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\begin{document}
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\begin{document}
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@ -28,8 +28,6 @@
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\lhead{Car 313, 06.03.2025, Rev. 1}
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\lhead{Car 313, 06.03.2025, Rev. 1}
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\chead{\large Temperature Measurement Error Calculation}
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\chead{\large Temperature Measurement Error Calculation}
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\hfill \break
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Since the Look Up Table provided by Vishay is used for the calculation in the AMS Software, the following calculation is also based on it.
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Since the Look Up Table provided by Vishay is used for the calculation in the AMS Software, the following calculation is also based on it.
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As the characteristic curve is not linear, it is relatively trivial to find the absolute maximum measurement error, therefore, the maximum error at \SI{60}{\celsius} is calculated here.
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As the characteristic curve is not linear, it is relatively trivial to find the absolute maximum measurement error, therefore, the maximum error at \SI{60}{\celsius} is calculated here.
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@ -38,19 +36,19 @@ Our Voltage measurement system is based on a NTC (NTCLE413E2103F102L from Vishay
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To calculate the error, the highest possible measured voltage at \SI{60}{\celsius} is worked out here, since according to the design of our voltage divider, the lower the temperature, the higher the voltage. As shown in Fig. \ref{fig:vref2}, the supply voltage $V_{REF2}$ of the voltage divider can have a maximum value of \SI{3.006}{\volt}, while the total measurement error of the GPIO is $\pm$ \SI{2.8}{mV}. (Fig. \ref{fig:aux}) In addition, the maximum resistance from the NTC can be \SI{3086.8}{\ohm} according to the LUT (Tab. \ref{tab:lut}). the maximum possible voltage recorded is therefore:
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To calculate the error, the highest possible measured voltage at \SI{60}{\celsius} is worked out here, since according to the design of our voltage divider, the lower the temperature, the higher the voltage. As shown in Fig. \ref{fig:vref2}, the supply voltage $V_{REF2}$ of the voltage divider can have a maximum value of \SI{3.006}{\volt}, while the total measurement error of the GPIO is $\pm$ \SI{2.8}{mV}. (Fig. \ref{fig:aux}) In addition, the maximum resistance from the NTC can be \SI{3086.8}{\ohm} according to the LUT (Tab. \ref{tab:lut}). the maximum possible voltage recorded is therefore:
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\begin{align*}
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\begin{align}
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& V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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V_{worstcase} &= V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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= & 3.006V \cdot \frac{3086.8}{3086.8+9990} + 0.0028V \\
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&= \SI{3.006}{\volt} \cdot \frac{3086.8}{3086.8+9990} + 0.0028V \\
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\approx & 712.4V
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&\approx 712.4mV
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\end{align*}
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\end{align}
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to find the largest possible error, the lowest possible matching temperature should be calculated, that theoretically can produce the same voltage output. The calculation is as below:
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to find the largest possible error, the lowest possible matching temperature should be calculated, that theoretically can produce the same voltage output. The calculation is as below:
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\begin{align*}
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\begin{align}
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& V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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V_{worstcase} &= V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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= & 2.994V \cdot \frac{R_{NTC}}{R_{NTC}+10010} - 0.0028V = 712.4V \\
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712.4V &= 2.994V \cdot \frac{R_{NTC}}{R_{NTC}+10010} - 0.0028V \\
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& R_{NTC} \approx 3141.6
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R_{NTC} &\approx 3141.6
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\end{align*}
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\end{align}
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since the LUT is used to match the voltage to the temperature, and the nominal resistance from the LUT is used for the calculation, the closest matching temperature is \SI{58.7}{\celsius}.
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since the LUT is used to match the voltage to the temperature, and the nominal resistance from the LUT is used for the calculation, the closest matching temperature is \SI{58.7}{\celsius}.
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temperature-measurement-error/bilder/FaSTTUBe_Logo_ohneAuto.png
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temperature-measurement-error/bilder/FaSTTUBe_Logo_ohneAuto.png
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\pagestyle{fancy}
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\pagestyle{fancy}
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\fancyhf{}
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\fancyhf{}
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\rhead{\includegraphics*[scale=0.012]{./Pictures/FaSTTUBe_Logo_ohneAuto.png}}
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\rhead{\includegraphics*[scale=0.01]{./Pictures/FaSTTUBe_Logo_ohneAuto.png}}
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\begin{document}
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\begin{document}
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@ -29,14 +29,14 @@
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\begin{figure}[H]
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\begin{figure}[H]
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\centering
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\centering
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\includegraphics[width=\textwidth]{./Pictures/iButton-Accumulator.png}
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\includegraphics[scale=0.8]{./Pictures/iButton-Accumulator.png}
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\caption{iButton Accumulator View}
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\caption{iButton Accumulator View}
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\label{fig:accu-view}
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\label{fig:accu-view}
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\end{figure}
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\end{figure}
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\begin{figure}[H]
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\begin{figure}[H]
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\centering
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\centering
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\includegraphics[width=\textwidth]{./Pictures/iButton-Stack.png}
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\includegraphics[scale=1.2]{./Pictures/iButton-Stack.png}
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\caption{iButton Accumulator View}
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\caption{iButton Accumulator View}
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\label{fig:stack-view}
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\label{fig:stack-view}
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\end{figure}
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\end{figure}
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