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temperature-measurement-error/AMS_temperature_error.pdf
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@ -23,15 +23,15 @@
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\pagestyle{fancy}
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\fancyhf{}
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\rhead{\includegraphics*[scale=0.015]{./bilder/FaSTTUBe_Logo_ohneAuto.png}}
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\rhead{\includegraphics*[scale=0.013]{./Pictures/FaSTTUBe_Logo_ohneAuto.png}}
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\rfoot{Page \thepage \hspace{1pt} of \pageref{LastPage}}
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\lhead{Car 313, 06.03.2025, Rev. 1}
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\lhead{Car 313, 06.03, Rev. 1}
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\chead{\large Temperature Measurement Error Calculation}
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\begin{document}
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\begin{wrapfigure}{l}{0.4\textwidth}
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\includegraphics[width=1\linewidth]{./bilder/NTC-schematic.png}
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\includegraphics[width=1\linewidth]{./Pictures/NTC-schematic.png}
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\caption{NTC Voltage Divider and Filter}
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\label{fig:NTC-schematic}
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\end{wrapfigure}
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@ -55,14 +55,14 @@ The maximum possible voltage measurement can then be calculated as such:
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\begin{align}
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V_{worstcase} &= V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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&= \SI{3.006}\volt \cdot \frac{\SI{3086.8}{\ohm}}{\SI{3086.8}{\ohm}+\SI{9990}{\ohm}} + \SI{0.0028}{\volt} \\
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&\approx 0.7124\si\volt
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&\approx \SI{0.7124}{\volt}
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\end{align}
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To find the largest possible error, the lowest possible matching temperature should be calculated, which theoretically can produce the same voltage output. The calculation is as follows:
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\begin{align}
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V_{worstcase} &= V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err} \\
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\SI{0.7124}{\ohm} &= \SI{2.994}{\volt} \cdot \frac{R_{NTC}}{R_{NTC}+\SI{10010}{\ohm}} - \SI{0.0028}{\volt} \\
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\SI{0.7124}{\volt} &= \SI{2.994}{\volt} \cdot \frac{R_{NTC}}{R_{NTC}+\SI{10010}{\ohm}} - \SI{0.0028}{\volt} \\
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R_{NTC} &\approx \SI{3141.6}{\ohm}
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\end{align}
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@ -70,14 +70,14 @@ Since the LUT is used to match the voltage to the temperature, and the nominal r
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\begin{figure}[H]
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\centering
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\includegraphics[width=\textwidth]{./bilder/v_ref2.png}
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\includegraphics[width=\textwidth]{./Pictures/Table 5. Voltage Reference Specifications.png}
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\caption{Voltage Reference Specifications}
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\label{fig:vref2}
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\end{figure}
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\begin{figure}[H]
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\centering
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\includegraphics[width=\textwidth]{./bilder/aux.png}
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\includegraphics[width=\textwidth]{./Pictures/Table 3. Auxiliary (AUX) ADC DC Specifications.png}
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\caption{Auxiliary (AUX) ADC DC Specifications}
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\label{fig:aux}
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\end{figure}
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