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the system, several tests have been performed. The characteristics of interest are the following: \begin{enumerate}[nosep] \item Efficiency \item Noise \item Ripple characteristics - \item Transients + \item Start up \end{enumerate} In this section a test or measurement will be described for each of the above characteristics. @@ -60,7 +60,7 @@ were chosen to give characterize the circuit over a broad range of conditions. - \subsection{Efficiency} + \subsection{Efficiency} \label{section:efficiency} \begin{Figure} \centering \includegraphics[scale=0.34]{SCHEMATIC_EFFICIENCY.png} @@ -94,11 +94,11 @@ \subsubsection{Peak to peak}\label{section:peak_to_peak} Peak to peak is the simplest way to look at noise. The signal has a stationary - mean over the period of 1 millisecond. Thus the highest measured value can be + mean over the period of 1 millisecond. Thus, the highest measured value can be subtracted from the lowest measured value. - \subsubsection{Standard Deviation} + \subsubsection{Standard Deviation}\label{section:standard_devation} The second metric used to measure noise was the standard deviation. Unlike, peak to peak it givesa better impression of the noise over a longer signal. SD can be calculated using equation \ref{eq:sd}. @@ -111,7 +111,8 @@ Where $x[i]$ is each voltage measurement, $\mu$ is the mean of the signal and $N$ is the total amount of samples. - \subsection{Ripple characteristics} + + \subsection{Ripple characteristics} \begin{Figure} \centering \includegraphics[scale=0.5]{RIPPLE.png} @@ -130,7 +131,7 @@ section \ref{section:peak_to_peak}. To measure the frequency of the signal using an FFT, it had to be pre-processed - first using a Hamming window this eliminates sharp edges at the edge of the + first using a Hamming window, this eliminates sharp edges at the edge of the measurement, causing unwanted frequencies to appear in the frequency domain. \begin{equation} \label{eq:hamming} @@ -141,12 +142,67 @@ sample in the signal can be multiplied by the corresponding value in the window, preparing the signal for the FFT. - \subsection{Transients} - The last measurements were hocus pocus + + \subsection{Start up} + The last characteristics is the start up, specifically the different rise times + under load. The voltage was measured at the output as the supply was turned on. + + Different rise times can be defined. First off, $\tau$ and $2 \tau$ were + defined as $63\%$ and $95\%$ respectively. Further more, 'rise time' was defined + as $90\%$, a metric used often in control theory. + + One problem that occured during the measurements, is that the aforementioned + ripples and noise would cause erroneous readings. As such, the signal was + filtered using a low pass filter, reducing the high frequencies from the + measurement. + \section{Results} - \lipsum[1-2] + In this section the results from section \ref{section:methodology} will be + discussed, as well as discuss some probable causes for unknown or unintended + results. + + \subsection{Efficiency} + \begin{Figure} + \centering + \includegraphics[scale=0.5]{EFFICIENCY_PERCENTAGE.jpg} + \captionof{figure}{WIP} + \label{fig:efficiency} + \end{Figure} + \noindent The results for the efficiency measurements, as described in section + \ref{section:efficiency} are displayed in figure \ref{fig:efficiency}. + The $7V$ measurements follow a predictable curve, however, the $3.3V$ makes + an unexplained jump back to a higher percentage. + + + \subsection{Noise} + \begin{Figure} + \centering + \includegraphics[scale=0.5]{SNR_LOADVSPKPK.jpg} + \captionof{figure}{WIP} + \label{fig:noise_pkpk} + \end{Figure} + \noindent The results for the efficiency measurements, as described in section + \ref{section:peak_to_peak} are displayed in figure \ref{fig:noise_pkpk}. + The peak to peak voltage is a significant fraction of the output voltage, + with $3V$ peaking at $33\%$. It seems there is a relation between peak to + peak voltage and the output voltage as well, as $7V$ has more noise than + $3.3V$ + + \begin{Figure} + \centering + \includegraphics[scale=0.5]{SNR_LOADVSSD.jpg} + \captionof{figure}{WIP} + \label{fig:noise_sd} + \end{Figure} + \noindent The results for the efficiency measurements, as described in section + \ref{section:standard_devation} are displayed in figure \ref{fig:noise_sd}. + Although the voltage peaks are high, the noise's standard deviation is in the + range of millivolts. The trend that a higher output voltage has more noise + is continued in this graph. + + \subsection{Ripple} \section{Conclusion} \lipsum[3-4]