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Diffstat (limited to 'master.tex')
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1 files changed, 228 insertions, 39 deletions
@@ -286,10 +286,10 @@ and thus, \end{align} \item \textbf{Can either $I_2$ and/or $I_3$ have a magnitude larger than the magnitude of $I_1$? Explain.} \\ - Yes, if the resistor current is small enough, or equally if both inductor and capacitor - currents are large enough. We can see this in \eqref{eq:1c}; the reactive components' - currents ``nearly cancel'' each other out, giving only a small increase to $I_1$, - but they can each be larger than $I_1$ individually. + Yes, if the resistor current is small enough, or equally if both inductor and + capacitor currents are large enough. We can see this in equation \eqref{eq:1c}; + the reactive components' currents ``nearly cancel'' each other out, giving only + a small increase to $I_1$, but they can each be larger than $I_1$ individually. \end{itemize} \section*{Task 1D. Series Connection of RLC Components} @@ -342,10 +342,10 @@ and thus, \end{align} \item \textbf{Can either $V_2$ and/or $V_3$ have a magnitude larger than the magnitude of $V_1$? Explain.} \\ - Yes, if the resistor voltage is small enough, or equally if both inductor and capacitor - voltages are large enough. Similar to Task 1C, we can see how according to equation - \eqref{eq:1d}, the reactive components' voltages ``nearly cancel'' each other out, - which allows $V_2$ and $V_3$ to be each larger than $V_1$ individually. + Yes, if the resistor voltage is small enough, or equally if both inductor and + capacitor voltages are large enough. Similar to Task 1C, we can see how according to + equation \eqref{eq:1d}, the reactive components' voltages ``nearly cancel'' each + other out, which allows $V_2$ and $V_3$ to be each larger than $V_1$ individually. \item \textbf{Support your answer with the phasor diagram corresponding to the measurement Task 1D, step 5.} \\ See figure \ref{fig:1d:pha}. @@ -584,6 +584,115 @@ and thus, given by $P = V_\text{line} I_\text{phase} \cos\phi$, negative. \end{itemize} +\phantomsection +\addcontentsline{toc}{subsection}{Task 3} +\section*{Task 3A. Single-Phase Full-Wave Rectifier} + +\begin{table}[H] +\begin{adjustwidth}{-15mm}{-15mm} + \centering + \begin{tabular}{*{9}{c}} + \toprule + & $V_\text{1(RMS)}$ (\si{\V}) & $I_\text{1(RMS)}$ (\si{\A}) + & $P_\text{1(in)}$ (\si{\W}) & $V_\text{3(RMS)}$ (\si{\V}) + & $V_\text{3(PP)}$ (\si{\V}) & $I_\text{3(RMS)}$ (\si{\A}) + & $I_\text{3(PP)}$ (\si{\A}) & $P_\text{3(out)}$ (\si{\W}) \\ + \midrule + No load & 15.05 $\angle$ -1.7 & 0.08 $\angle$ 36.2 & 0.8 + & 14.19 $\angle$ -93.8 & + & 0.11 $\angle$ -224.5 && 1.0 \\ + Light load & 14.87 $\angle$ -1.8 & 0.84 $\angle$ -2.4 & 12.5 + & 13.34 $\angle$ -93.9 & + & 0.88 $\angle$ -96.2 && 11.7 \\ + Heavy load & 14.77 $\angle$ -1.8 & 1.50 $\angle$ -2.0 & 22.0 + & 13.09 $\angle$ -94.1 & + & 1.53 $\angle$ -95.6 && 19.9 \\ + \bottomrule + \end{tabular} + \caption[Single-phase full-wave rectifier, without a capacitor filter] + {Single-phase full-wave rectifier, without a capacitor filter.} + \label{tab:3a} +\end{adjustwidth} +\end{table} + +\begin{table}[H] +\begin{adjustwidth}{-15mm}{-15mm} + \centering + \begin{tabular}{*{10}{c}} + \toprule + & $V_\text{1(RMS)}$ (\si{\V}) & $I_\text{1(RMS)}$ (\si{\A}) + & $I_\text{1(PP)}$ (\si{\A}) & $P_\text{1(in)}$ (\si{\W}) + & $V_\text{3(RMS)}$ (\si{\V}) & $V_\text{3(PP)}$ (\si{\V}) + & $I_\text{3(RMS)}$ (\si{\A}) & $I_\text{3(PP)}$ (\si{\A}) + & $P_\text{3(out)}$ (\si{\W}) \\ + \midrule + No load & 15.04 $\angle$ -1.7 & 0.34 $\angle$ -8.6 && 2.2 + & 19.90 $\angle$ -176.3 & + & 0.17 $\angle$ 13.1 && 2.8 \\ + Light load & 14.73 $\angle$ -1.8 & 2.5 $\angle$ -3.9 && 24.8 + & 17.73 $\angle$ -165.8 & + & 1.23 $\angle$ 203.1 && 21.7 \\ + Heavy load & 14.54 $\angle$ -2.1 & 3.80 $\angle$ -2.3 && 39.4 + & 16.73 $\angle$ -161.9 & + & 2.01 $\angle$ -159.5 && 33.6 \\ + \bottomrule + \end{tabular} + \caption[Single-phase full-wave rectifier, with a capacitor filter] + {Single-phase full-wave rectifier, with a capacitor filter.} + \label{tab:3b} +\end{adjustwidth} +\end{table} + +\phantomsection +\addcontentsline{toc}{subsection}{Task 4} +\section*{Task 4A. Three-Phase Full-Wave Rectifier} + +\begin{table}[H] + \centering + \begin{tabular}{*{7}{c}} + \toprule + & $I_\text{1(RMS)}$ (\si{\A}) & $V_\text{2(RMS)}$ (\si{\V}) + & $V_\text{2(PP)}$ (\si{\V}) & $I_\text{2(RMS)}$ (\si{\A}) + & $I_\text{2(PP)}$ (\si{\A}) & $P_\text{3(out)}$ (\si{\W}) \\ + \midrule + No load & 0.09 $\angle$ 33.3 & 12.18 $\angle$ -62.2 & + & 0.16 $\angle$ -148.3 && 1.5 \\ + Light load & 0.65 $\angle$ 33.3 & 11.99 $\angle$ -50.1 & + & 0.86 $\angle$ -36.7 && 9.9 \\ + Heavy load & 1.10 $\angle$ 34.2 & 11.86 $\angle$ -40.6 & + & 1.43 $\angle$ -32.2 && 16.2 \\ + \bottomrule + \end{tabular} + \caption[Three-phase full-wave rectifier, without a capacitor filter] + {Three-phase full-wave rectifier, without a capacitor filter.} + \label{tab:4a} +\end{table} + +\begin{table}[H] +\begin{adjustwidth}{-15mm}{-15mm} + \centering + \begin{tabular}{*{10}{c}} + \toprule + & $I_\text{1(RMS)}$ (\si{\A}) & $I_\text{1(PP)}$ (\si{\A}) + & $I_\text{2(RMS)}$ (\si{\A}) & $I_\text{2(PP)}$ (\si{\A}) + & $V_\text{3(RMS)}$ (\si{\V}) & $V_\text{3(PP)}$ (\si{\V}) + & $I_\text{3(RMS)}$ (\si{\A}) & $I_\text{3(PP)}$ (\si{\A}) + & $P_\text{3(out)}$ (\si{\W}) \\ + \midrule + No load & 0.08 $\angle$ 22.4 && 0.20 $\angle$ -31.0 & + & 12.58 $\angle$ -236.0 && 0.12 $\angle$ -218.5 && 1.6 \\ + Light load & 0.70 $\angle$ 28.6 && 1.02 $\angle$ -54.3 & + & 11.91 $\angle$ -95.9 && 0.83 $\angle$ 96.0 && 10.0 \\ + Heavy load & 1.17 $\angle$ 29.0 && 1.73 $\angle$ -54.4 & + & 11.63 $\angle$ -96.0 && 1.40 $\angle$ -183.2 && 16.3 \\ + \bottomrule + \end{tabular} + \caption[Three-phase full-wave rectifier, with a capacitor filter] + {Three-phase full-wave rectifier, with a capacitor filter.} + \label{tab:4b} +\end{adjustwidth} +\end{table} + \newpage \appendix @@ -638,7 +747,7 @@ and thus, \begin{figure}[H] \centering \includegraphics[width=0.75\linewidth]{images/1a-phasor.png} - \caption[Phasor measurements for the RL load box with three inductors (Task 1A)] + \caption[Phasor measurements for the RL load box with three inductors] {Phasor measurements for the RL load box with three inductors (Task 1A).} \label{fig:1a} \end{figure} @@ -646,7 +755,7 @@ and thus, \begin{figure}[H] \centering \includegraphics[width=0.75\linewidth]{images/1b-phasor.png} - \caption[Phasor measurements for the RC load box with three capacitors (Task 1B)] + \caption[Phasor measurements for the RC load box with three capacitors] {Phasor measurements for the RC load box with three capacitors (Task 1B).} \label{fig:1b} \end{figure} @@ -667,15 +776,15 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1c-3-wave.png} \caption{Waveform of circuit with one resistor, - one inductor, and three capacitors.} + one inductor, \\ and three capacitors.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1c-3-phasor.png} \caption{Phasor view of circuit with one resistor, - one inductor, and three capacitors.} + one inductor, \\ and three capacitors.} \end{subfigure} - \caption[Measurements of parallel connections of RLC components (Task 1C)] + \caption[Measurements of parallel connections of RLC components] {Measurements of parallel connections of RLC components (Task 1C).} \label{fig:1c} \end{figure} @@ -684,15 +793,15 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1d-1-wave.png} \caption{Waveform of circuit with one resistor, - one inductor, and one capacitor.} + one inductor, \\ and one capacitor.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1d-2-wave.png} \caption{Waveform of circuit with one resistor, - one inductor, and three capacitors.} + one inductor, \\ and three capacitors.} \end{subfigure} - \caption[Measurements of series connections of RLC components (Task 1D)] + \caption[Measurements of series connections of RLC components] {Measurements of series connections of RLC components (Task 1D).} \label{fig:1d} \end{figure} @@ -704,13 +813,13 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1d-3-wave.png} \caption{Waveform of circuit with three resistors, - one inductor, and three capacitors.} + one inductor, \\ and three capacitors.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/1d-3-phasor.png} \caption{Phasor view of circuit with three resistors, - one inductor, and three capacitors.} + one inductor, \\ and three capacitors.} \end{subfigure} \captionsetup{list=no} \caption{Measurements of series connections of RLC components (Task 1D).} @@ -720,29 +829,29 @@ and thus, \begin{figure}[H] \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-1-wave.png} - \caption{Waveform of circuit with RL balanced load, neutrals disconnected.} + \caption{Waveform of circuit with RL balanced load, \\ neutrals disconnected.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-1-phasor.png} - \caption{Phasor view of circuit with RL balanced load, neutrals disconnected.} + \caption{Phasor view of circuit with RL balanced load, \\ neutrals disconnected.} \end{subfigure} \medskip \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-2-wave.png} - \caption{Waveform of circuit with RL unbalanced load, + \caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor, neutrals disconnected.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-2-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor, neutrals disconnected.} \end{subfigure} - \caption[Three-phase measurements with wye-connected RL load box (Task 2A)] + \caption[Three-phase measurements with wye-connected RL load box] {Three-phase measurements with wye-connected RL load box (Task 2A).} \label{fig:2a} \end{figure} @@ -753,13 +862,13 @@ and thus, \ContinuedFloat \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-3-wave.png} - \caption{Waveform of circuit with RL unbalanced load, + \caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor, neutrals disconnected.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-3-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor, neutrals disconnected.} \end{subfigure} @@ -767,13 +876,13 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-4-wave.png} - \caption{Waveform of circuit with RL unbalanced load, + \caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor, neutrals connected.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-4-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor, neutrals connected.} \end{subfigure} @@ -781,13 +890,13 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-5-wave.png} - \caption{Waveform of circuit with RL unbalanced load, + \caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor, neutrals connected.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2a-5-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor, neutrals connected.} \end{subfigure} @@ -811,27 +920,27 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2b-2-wave.png} - \caption{Waveform of circuit with RL unbalanced load, shorted resistor.} + \caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2b-2-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, shorted resistor.} + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor.} \end{subfigure} \medskip \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2b-3-wave.png} - \caption{Waveform of circuit with RL unbalanced load, shorted inductor.} + \caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2b-3-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, shorted inductor.} + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor.} \end{subfigure} - \caption[Three-phase measurements with delta-connected RL load box (Task 2B)] + \caption[Three-phase measurements with delta-connected RL load box] {Three-phase measurements with delta-connected RL load box (Task 2B).} \label{fig:2b} \end{figure} @@ -851,29 +960,109 @@ and thus, \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2c-2-wave.png} - \caption{Waveform of circuit with RL unbalanced load, shorted resistor.} + \caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2c-2-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, shorted resistor.} + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor.} \end{subfigure} \medskip \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2c-3-wave.png} - \caption{Waveform of circuit with RL unbalanced load, shorted inductor.} + \caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor.} \end{subfigure} \hfill \begin{subfigure}{0.45\linewidth} \includegraphics[width=\linewidth]{images/2c-3-phasor.png} - \caption{Phasor view of circuit with RL unbalanced load, shorted inductor.} + \caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor.} \end{subfigure} - \caption[Two-wattmeter measurements with delta-connected RL load box (Task 2C)] + \caption[Two-wattmeter measurements with delta-connected RL load box] {Two-wattmeter measurements with delta-connected RL load box (Task 2C).} \label{fig:2c} \end{figure} +\begin{figure} + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3a-1-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under no load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3a-2-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under half load.} + \end{subfigure} + + \medskip + + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3a-3-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under full load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3b-1-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under no load.} + \end{subfigure} + + \medskip + + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3b-2-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under half load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/3b-3-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under full load.} + \end{subfigure} + + \caption[Single-phase full-wave rectifier, without and with capacitor filter] + {Single-phase full-wave rectifier, without and with capacitor filter (Task 3A).} + \label{fig:3a} +\end{figure} + +\begin{figure} + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4a-1-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under no load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4a-2-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under half load.} + \end{subfigure} + + \medskip + + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4a-3-wave.png} + \caption{Waveform of circuit without a capacitor filter \\ under full load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4b-1-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under no load.} + \end{subfigure} + + \medskip + + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4b-2-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under half load.} + \end{subfigure} + \hfill + \begin{subfigure}{0.45\linewidth} + \includegraphics[width=\linewidth]{images/4b-3-wave.png} + \caption{Waveform of circuit with a capacitor filter \\ under full load.} + \end{subfigure} + + \caption[Three-phase full-wave rectifier, without and with capacitor filter] + {Three-phase full-wave rectifier, without and with capacitor filter (Task 4A).} + \label{fig:4a} +\end{figure} + \end{document} |