diff --git a/Doc/images/RIPPLE.png b/Doc/images/RIPPLE.png new file mode 100644 index 0000000..c9c3def Binary files /dev/null and b/Doc/images/RIPPLE.png differ diff --git a/Doc/images/SCHEMATIC_EFFICIENCY.png b/Doc/images/SCHEMATIC_EFFICIENCY.png new file mode 100644 index 0000000..551cf69 Binary files /dev/null and b/Doc/images/SCHEMATIC_EFFICIENCY.png differ diff --git a/Doc/images/SCHEMATIC_FULL.png b/Doc/images/SCHEMATIC_FULL.png new file mode 100644 index 0000000..6e3fb33 Binary files /dev/null and b/Doc/images/SCHEMATIC_FULL.png differ diff --git a/Doc/main.tex b/Doc/main.tex index d9013b2..81038d3 100644 --- a/Doc/main.tex +++ b/Doc/main.tex @@ -4,7 +4,13 @@ \usepackage[a4paper, total={7in, 10in}]{geometry} \usepackage{multicol} \usepackage{lipsum} +\usepackage{caption} \usepackage{graphicx} +\usepackage{enumitem} + +\newenvironment{Figure} + {\par\medskip\noindent\minipage{\linewidth}} + {\endminipage\par\medskip} \graphicspath{{images/}} @@ -24,26 +30,125 @@ \section{Introduction} \lipsum[1-2] + \section{Circuit Description} + % Filler image, don't get attached + \begin{Figure} + \centering + \includegraphics[scale=0.38]{SCHEMATIC_FULL.png} + \captionof{figure}{WIP} + \label{fig:schematic_full} + \end{Figure} \lipsum[3-4] + \section{Methodology} - To characterize the system, several tests have been performed. The - characteristics of interest are the following: - \begin{enumerate} + To characterize 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 \end{enumerate} + In this section a test or measurement will be described for each of the above + characteristics. - Each of these characteristics have been tested at two different output voltages - and load currents. The different voltages are $7V$ and $3.3V$. The chosen load - currents are $10$, $20$, $30$, $40$ and $50 mA$. These values were chosen to - give characterize the circuit over a broad range of conditions. + Each of the characteristics have been tested at two different output voltages + and various load currents. The different voltages are $7V$ and $3.3V$. The + chosen load currents are $10$, $20$, $30$, $40$ and $50 mA$. These values + were chosen to give characterize the circuit over a broad range of conditions. -\section{Results} -\section{Conclusion} + \subsection{Efficiency} + \begin{Figure} + \centering + \includegraphics[scale=0.34]{SCHEMATIC_EFFICIENCY.png} + \captionof{figure}{WIP} + \label{fig:schematic_efficiency} + \end{Figure} + To measure the efficiency of the circuit, four measurements were taken. + A current and a voltage measurement were taken at the supply and load + respectively. The measurements were taken as shown in figure + \ref{fig:schematic_efficiency}. The energy used by the supply and the load + can be calculated using the equation \ref{eq:power}. Then, using equation + \ref{eq:efficiency}, efficiency can be calculated. + \begin{equation} + \label{eq:power} + P [W] = U[V] \cdot I[A] + \end{equation} + \begin{equation} + \label{eq:efficiency} + \eta[\%] = \frac{P_{load}[W]}{P_{supply}[W]} \cdot 100\% + \end{equation} + + + \subsection{Noise} + To measure the noice of the circuit an oscilloscope probe was placed on the + variable resistor in figure \ref{fig:schematic_full}. Over the period of 1 + millisecond, 20,000 points were measured. + + Noise has several metrics in which it can be quantized. Two metrics were + calculated, the standard devation (SD) and the peak to peak noise. + + + \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 + subtracted from the lowest measured value. + + + \subsubsection{Standard Deviation} + 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}. + + \begin{equation} + \label{eq:sd} + \sigma = \sqrt{\frac{1}{N}\sum^{N-1}_{i=0}(x[i] - \mu)^2} + \end{equation} + + 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} + \begin{Figure} + \centering + \includegraphics[scale=0.5]{RIPPLE.png} + \captionof{figure}{WIP} + \label{fig:ripple} + \end{Figure} + A significant source of the noise was caused by a specific ripple, shown in + figure \ref{fig:ripple}. + This ripple coincided with the MOSFETs opening or closing. + + To further characterize this behaviour a close up measurement was taken. + The oscilloscope was set to AC-coupling and the settigns were adjusted + for the ripple to be full screen. Then, two additional characteristics can + be calculated. The ripple's peak to peak voltage and the ripple's (most prevalent) + frequency. The peak to peak value can be calculated using the method described in + 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 + measurement, causing unwanted frequencies to appear in the frequency domain. + \begin{equation} + \label{eq:hamming} + % 0.54 - 0.46 * cos(2*np.pi*(n/N)) + w(i) = 0.54 - 0.46 \cdot cos \left(2 \pi \frac{i}{N} \right) + \end{equation} + Where $i$ is the current sample and $N$ is the total amount of samples. 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