462 lines
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462 lines
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<title>Effect of the rotation of the Slip-Ring</title>
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<body>
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<div id="content">
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<h1 class="title">Effect of the rotation of the Slip-Ring</h1>
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<div id="table-of-contents">
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#orgfad781f">1. Measurement Description</a></li>
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<li><a href="#org15aab25">2. Load data</a></li>
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<li><a href="#orgf84fddf">3. Analysis</a></li>
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<li><a href="#org072e1d4">4. Conclusion</a></li>
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</ul>
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</div>
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</div>
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<div id="outline-container-orgfad781f" class="outline-2">
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<h2 id="orgfad781f"><span class="section-number-2">1</span> Measurement Description</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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Random Signal is generated by one DAC of the SpeedGoat.
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</p>
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<p>
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The signal going out of the DAC is split into two:
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</p>
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<ul class="org-ul">
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<li>one BNC cable is directly connected to one ADC of the SpeedGoat</li>
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<li>one BNC cable goes two times in the Slip-Ring (from bottom to top and then from top to bottom) and then is connected to one ADC of the SpeedGoat</li>
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</ul>
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<p>
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Two measurements are done.
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</p>
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<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Data File</th>
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<th scope="col" class="org-left">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>mat/data_001.mat</code></td>
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<td class="org-left">Slip-ring not turning</td>
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</tr>
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<tr>
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<td class="org-left"><code>mat/data_002.mat</code></td>
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<td class="org-left">Slip-ring turning</td>
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</tr>
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</tbody>
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</table>
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<p>
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For each measurement, the measured signals are:
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</p>
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<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Data File</th>
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<th scope="col" class="org-left">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>t</code></td>
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<td class="org-left">Time vector</td>
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</tr>
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<tr>
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<td class="org-left"><code>x1</code></td>
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<td class="org-left">Direct signal</td>
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</tr>
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<tr>
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<td class="org-left"><code>x2</code></td>
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<td class="org-left">Signal going through the Slip-Ring</td>
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</tr>
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</tbody>
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</table>
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<p>
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The goal is to determine is the signal is altered when the spindle is rotating.
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</p>
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<p>
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Here, the rotation speed of the Slip-Ring is set to 1rpm.
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</p>
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</div>
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</div>
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<div id="outline-container-org15aab25" class="outline-2">
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<h2 id="org15aab25"><span class="section-number-2">2</span> Load data</h2>
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<div class="outline-text-2" id="text-2">
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<p>
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We load the data of the z axis of two geophones.
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">sr_off = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_001.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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sr_on = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_002.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
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</div>
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</div>
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</div>
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<div id="outline-container-orgf84fddf" class="outline-2">
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<h2 id="orgf84fddf"><span class="section-number-2">3</span> Analysis</h2>
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<div class="outline-text-2" id="text-3">
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<p>
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Let's first look at the signal produced by the DAC (figure <a href="#org36eec0a">1</a>).
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
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plot<span class="org-rainbow-delimiters-depth-1">(</span>sr_on.t, sr_on.x1<span class="org-rainbow-delimiters-depth-1">)</span>;
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hold off;
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xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
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</div>
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<div id="org36eec0a" class="figure">
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<p><img src="figs/random_signal.png" alt="random_signal.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Random signal produced by the DAC</p>
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</div>
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<p>
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We now look at the difference between the signal directly measured by the ADC and the signal that goes through the slip-ring (figure <a href="#orga6ca37c">2</a>).
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
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plot<span class="org-rainbow-delimiters-depth-1">(</span>sr_on.t, sr_on.x1 <span class="org-type">-</span> sr_on.x2, <span class="org-string">'DisplayName', '</span>Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> $<span class="org-type">\</span>omega = <span class="org-highlight-numbers-number">1rpm$</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
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plot<span class="org-rainbow-delimiters-depth-1">(</span>sr_off.t, sr_off.x1 <span class="org-type">-</span> sr_off.x2,<span class="org-string">'DisplayName', 'Slip-Ring off'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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|
hold off;
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|
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
</pre>
|
|
</div>
|
|
|
|
|
|
<div id="orga6ca37c" class="figure">
|
|
<p><img src="figs/slipring_comp_signals.png" alt="slipring_comp_signals.png" />
|
|
</p>
|
|
<p><span class="figure-number">Figure 2: </span>Alteration of the signal when the slip-ring is turning</p>
|
|
</div>
|
|
|
|
<div class="org-src-container">
|
|
<pre class="src src-matlab">dt = sr_on.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">-</span> sr_on.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
|
|
|
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
</pre>
|
|
</div>
|
|
|
|
<div class="org-src-container">
|
|
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxx_on, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_on.x1 <span class="org-type">-</span> sr_on.x2, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
<span class="org-rainbow-delimiters-depth-1">[</span>pxx_off, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_off.x1 <span class="org-type">-</span> sr_off.x2, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
|
</pre>
|
|
</div>
|
|
|
|
|
|
<div id="orgc50d568" class="figure">
|
|
<p><img src="figs/psd_noise.png" alt="psd_noise.png" />
|
|
</p>
|
|
<p><span class="figure-number">Figure 3: </span>ASD of the measured noise</p>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
|
|
<div id="outline-container-org072e1d4" class="outline-2">
|
|
<h2 id="org072e1d4"><span class="section-number-2">4</span> Conclusion</h2>
|
|
<div class="outline-text-2" id="text-4">
|
|
<div class="note">
|
|
<p>
|
|
<b>Remaining questions</b>:
|
|
</p>
|
|
<ul class="org-ul">
|
|
<li>Should the measurement be redone using voltage amplifiers?</li>
|
|
<li>Use higher rotation speed and measure for longer periods (to have multiple revolutions) ?</li>
|
|
</ul>
|
|
|
|
</div>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
<div id="postamble" class="status">
|
|
<p class="author">Author: Thomas Dehaeze</p>
|
|
<p class="date">Created: 2019-05-03 ven. 14:39</p>
|
|
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
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|
</div>
|
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</body>
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</html>
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