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@@ -280,65 +30,64 @@ for the JavaScript code in this tag.
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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="#orgc988f31">1. Effect of the rotation of the Slip-Ring - Noise</a>
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<li><a href="#orga0c7470">1. Effect of the rotation of the Slip-Ring - Noise</a>
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<ul>
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<li><a href="#org9c881d4">1.1. Measurement Description</a></li>
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<li><a href="#org9671811">1.2. Load data</a></li>
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<li><a href="#orgf569f1a">1.3. Analysis</a></li>
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<li><a href="#orgf938632">1.4. Conclusion</a></li>
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<li><a href="#org5394d04">1.1. Measurement Description</a></li>
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||||
<li><a href="#org015bd45">1.2. Load data</a></li>
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<li><a href="#org880c3cd">1.3. Analysis</a></li>
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<li><a href="#orgd0a405c">1.4. Conclusion</a></li>
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</ul>
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</li>
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<li><a href="#org038eeb5">2. Measure of the noise induced by the Slip-Ring using voltage amplifiers - Noise</a>
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<li><a href="#orge484f16">2. Measure of the noise induced by the Slip-Ring using voltage amplifiers - Noise</a>
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<ul>
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||||
<li><a href="#orgfecfa5c">2.1. Measurement Description</a></li>
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||||
<li><a href="#org93676c7">2.2. Load data</a></li>
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<li><a href="#org5c0f846">2.3. Time Domain</a></li>
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<li><a href="#org3cf58bf">2.4. Frequency Domain</a></li>
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||||
<li><a href="#orgfb3a7be">2.5. Conclusion</a></li>
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||||
<li><a href="#orgcffd362">2.1. Measurement Description</a></li>
|
||||
<li><a href="#orgb04e3fc">2.2. Load data</a></li>
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<li><a href="#orgeb6990e">2.3. Time Domain</a></li>
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<li><a href="#org9809223">2.4. Frequency Domain</a></li>
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<li><a href="#org6edde18">2.5. Conclusion</a></li>
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</ul>
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</li>
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<li><a href="#orgf6e4281">3. Measure of the noise induced by the Slip-Ring rotation - LPF added</a>
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<li><a href="#org34a88cd">3. Measure of the noise induced by the Slip-Ring rotation - LPF added</a>
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<ul>
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<li><a href="#org7da9e34">3.1. Measurement description</a></li>
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<li><a href="#org62f4c0b">3.2. Load data</a></li>
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<li><a href="#orgebd2a5c">3.3. Time Domain</a></li>
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<li><a href="#org3866b73">3.4. Frequency Domain - Direct Signal</a></li>
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<li><a href="#org9c9986f">3.5. Frequency Domain - Slip-Ring Signal</a></li>
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<li><a href="#org9d90d36">3.6. Conclusion</a></li>
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<li><a href="#org9842ef1">3.1. Measurement description</a></li>
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<li><a href="#org301dd52">3.2. Load data</a></li>
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<li><a href="#orgd6c3972">3.3. Time Domain</a></li>
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<li><a href="#org6579314">3.4. Frequency Domain - Direct Signal</a></li>
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<li><a href="#orgf591b45">3.5. Frequency Domain - Slip-Ring Signal</a></li>
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<li><a href="#org599231a">3.6. Conclusion</a></li>
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</ul>
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</li>
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</ul>
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</div>
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</div>
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<p>
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||||
We determine if the slip-ring add some noise to the signal when it is turning:
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</p>
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<ul class="org-ul">
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||||
<li>Section <a href="#orgb74a552">1</a>:
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||||
<li>Section <a href="#org05554d3">1</a>:
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||||
<ul class="org-ul">
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||||
<li>Noise is generated by the Speedgoat DAC and goes trough the slip-ring two times</li>
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<li>We measure the signal when it is OFF, ON but not turning and ON and turning</li>
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<li>However, the measurement is limited by the ADC noise</li>
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</ul></li>
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<li>Section <a href="#org73e12a6">2</a>:
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<li>Section <a href="#org28c6f1d">2</a>:
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<ul class="org-ul">
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<li>Voltage amplifiers are added, and the same measurements are done</li>
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||||
<li>However, the voltage amplifiers are saturating because of high frequency noise</li>
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</ul></li>
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||||
<li>Section <a href="#org6764371">3</a>:
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<li>Section <a href="#org6fb7c81">3</a>:
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||||
<ul class="org-ul">
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||||
<li>Low pass filter are added at the input of the voltage amplifier and the same measurement is done</li>
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||||
</ul></li>
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</ul>
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||||
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||||
<div id="outline-container-orgc988f31" class="outline-2">
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||||
<h2 id="orgc988f31"><span class="section-number-2">1</span> Effect of the rotation of the Slip-Ring - Noise</h2>
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||||
<div id="outline-container-orga0c7470" class="outline-2">
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||||
<h2 id="orga0c7470"><span class="section-number-2">1</span> Effect of the rotation of the Slip-Ring - Noise</h2>
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||||
<div class="outline-text-2" id="text-1">
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||||
<p>
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||||
<a id="orgb74a552"></a>
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||||
<a id="org05554d3"></a>
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||||
</p>
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||||
<div class="note">
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||||
<div class="note" id="org3e3398d">
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<p>
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||||
All the files (data and Matlab scripts) are accessible <a href="data/meas_effect_sr.zip">here</a>.
|
||||
</p>
|
||||
@@ -346,8 +95,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_effect
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9c881d4" class="outline-3">
|
||||
<h3 id="org9c881d4"><span class="section-number-3">1.1</span> Measurement Description</h3>
|
||||
<div id="outline-container-org5394d04" class="outline-3">
|
||||
<h3 id="org5394d04"><span class="section-number-3">1.1</span> Measurement Description</h3>
|
||||
<div class="outline-text-3" id="text-1-1">
|
||||
<p>
|
||||
<b>Setup</b>:
|
||||
@@ -436,83 +185,83 @@ For each measurement, the measured signals are:
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9671811" class="outline-3">
|
||||
<h3 id="org9671811"><span class="section-number-3">1.2</span> Load data</h3>
|
||||
<div id="outline-container-org015bd45" class="outline-3">
|
||||
<h3 id="org015bd45"><span class="section-number-3">1.2</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-1-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<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>;
|
||||
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>;
|
||||
<pre class="src src-matlab">sr_off = load(<span class="org-string">'mat/data_001.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'x1'</span>, <span class="org-string">'x2'</span>);
|
||||
sr_on = load(<span class="org-string">'mat/data_002.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'x1'</span>, <span class="org-string">'x2'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf569f1a" class="outline-3">
|
||||
<h3 id="orgf569f1a"><span class="section-number-3">1.3</span> Analysis</h3>
|
||||
<div id="outline-container-org880c3cd" class="outline-3">
|
||||
<h3 id="org880c3cd"><span class="section-number-3">1.3</span> Analysis</h3>
|
||||
<div class="outline-text-3" id="text-1-3">
|
||||
<p>
|
||||
Let's first look at the signal produced by the DAC (figure <a href="#org9d6d3d5">1</a>).
|
||||
Let’s first look at the signal produced by the DAC (figure <a href="#orgc840333">1</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>sr_on.t, sr_on.x1<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(sr_on.t, sr_on.x1);
|
||||
hold off;
|
||||
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>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Voltage [V]'</span>);
|
||||
xlim([0 10]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org9d6d3d5" class="figure">
|
||||
<div id="orgc840333" class="figure">
|
||||
<p><img src="figs/random_signal.png" alt="random_signal.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Random signal produced by the DAC</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
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="#orgfb12ded">2</a>).
|
||||
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="#org600f7bf">2</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
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>;
|
||||
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>;
|
||||
plot(sr_on.t, sr_on.x1 <span class="org-type">-</span> sr_on.x2, <span class="org-string">'DisplayName'</span>, <span class="org-string">'Slip-Ring - $\omega = 1rpm$'</span>);
|
||||
plot(sr_off.t, sr_off.x1 <span class="org-type">-</span> sr_off.x2,<span class="org-string">'DisplayName'</span>, <span class="org-string">'Slip-Ring off'</span>);
|
||||
hold off;
|
||||
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>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Voltage [V]'</span>);
|
||||
xlim([0 10]);
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfb12ded" class="figure">
|
||||
<div id="org600f7bf" 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>
|
||||
<pre class="src src-matlab">dt = sr_on.t(2) <span class="org-type">-</span> sr_on.t(1);
|
||||
Fs = 1<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>;
|
||||
win = hanning(ceil(1<span class="org-type">*</span>Fs));
|
||||
</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 class="src src-matlab">[pxx_on, f] = pwelch(sr_on.x1 <span class="org-type">-</span> sr_on.x2, win, [], [], Fs);
|
||||
[pxx_off, <span class="org-type">~</span>] = pwelch(sr_off.x1 <span class="org-type">-</span> sr_off.x2, win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgacfda5a" class="figure">
|
||||
<div id="org1b06395" 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>
|
||||
@@ -520,13 +269,13 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf938632" class="outline-3">
|
||||
<h3 id="orgf938632"><span class="section-number-3">1.4</span> Conclusion</h3>
|
||||
<div id="outline-container-orgd0a405c" class="outline-3">
|
||||
<h3 id="orgd0a405c"><span class="section-number-3">1.4</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-1-4">
|
||||
<div class="note">
|
||||
<div class="note" id="org71fbb94">
|
||||
<ul class="org-ul">
|
||||
<li>The measurement is mostly limited by the resolution of the Speedgoat DAC (16bits over \(\pm 10 V\))</li>
|
||||
<li>In section <a href="#org73e12a6">2</a>, the same measurement is done but voltage amplifiers are added to amplify the noise</li>
|
||||
<li>In section <a href="#org28c6f1d">2</a>, the same measurement is done but voltage amplifiers are added to amplify the noise</li>
|
||||
</ul>
|
||||
|
||||
</div>
|
||||
@@ -534,13 +283,13 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org038eeb5" class="outline-2">
|
||||
<h2 id="org038eeb5"><span class="section-number-2">2</span> Measure of the noise induced by the Slip-Ring using voltage amplifiers - Noise</h2>
|
||||
<div id="outline-container-orge484f16" class="outline-2">
|
||||
<h2 id="orge484f16"><span class="section-number-2">2</span> Measure of the noise induced by the Slip-Ring using voltage amplifiers - Noise</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<p>
|
||||
<a id="org73e12a6"></a>
|
||||
<a id="org28c6f1d"></a>
|
||||
</p>
|
||||
<div class="note">
|
||||
<div class="note" id="orgb572c7d">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/meas_slip_ring.zip">here</a>.
|
||||
</p>
|
||||
@@ -548,8 +297,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_slip_r
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgfecfa5c" class="outline-3">
|
||||
<h3 id="orgfecfa5c"><span class="section-number-3">2.1</span> Measurement Description</h3>
|
||||
<div id="outline-container-orgcffd362" class="outline-3">
|
||||
<h3 id="orgcffd362"><span class="section-number-3">2.1</span> Measurement Description</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<p>
|
||||
<b>Goal</b>:
|
||||
@@ -657,14 +406,14 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
|
||||
</table>
|
||||
|
||||
|
||||
<div id="org1e3b32c" class="figure">
|
||||
<div id="org0f30e7e" class="figure">
|
||||
<p><img src="./img/VID_20190503_160831.gif" alt="VID_20190503_160831.gif" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Slip-Ring rotating at 6rpm</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org3cea729" class="figure">
|
||||
<div id="orgc30f130" class="figure">
|
||||
<p><img src="./img/VID_20190503_161401.gif" alt="VID_20190503_161401.gif" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Slip-Ring rotating at 60rpm</p>
|
||||
@@ -672,31 +421,31 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org93676c7" class="outline-3">
|
||||
<h3 id="org93676c7"><span class="section-number-3">2.2</span> Load data</h3>
|
||||
<div id="outline-container-orgb04e3fc" class="outline-3">
|
||||
<h3 id="orgb04e3fc"><span class="section-number-3">2.2</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">sr_off = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_008.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_off = sr_off.data;
|
||||
sr_on = load<span class="org-rainbow-delimiters-depth-1">(</span>'mat<span class="org-type">/</span>data_009.mat', <span class="org-string">'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_on = sr_on.data;
|
||||
sr_6r = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_010.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_6r = sr_6r.data;
|
||||
sr_60r = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_011.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_60r = sr_60r.data;
|
||||
<pre class="src src-matlab">sr_off = load(<span class="org-string">'mat/data_008.mat'</span>, <span class="org-string">'data'</span>); sr_off = sr_off.data;
|
||||
sr_on = load(<span class="org-string">'mat/data_009.mat'</span>, <span class="org-string">'data'</span>); sr_on = sr_on.data;
|
||||
sr_6r = load(<span class="org-string">'mat/data_010.mat'</span>, <span class="org-string">'data'</span>); sr_6r = sr_6r.data;
|
||||
sr_60r = load(<span class="org-string">'mat/data_011.mat'</span>, <span class="org-string">'data'</span>); sr_60r = sr_60r.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org5c0f846" class="outline-3">
|
||||
<h3 id="org5c0f846"><span class="section-number-3">2.3</span> Time Domain</h3>
|
||||
<div id="outline-container-orgeb6990e" class="outline-3">
|
||||
<h3 id="orgeb6990e"><span class="section-number-3">2.3</span> Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
We plot the time domain data for the direct measurement (figure <a href="#orgb38ee7b">6</a>) and for the signal going through the slip-ring (figure <a href="#orgb1b1fc7">7</a>);
|
||||
We plot the time domain data for the direct measurement (figure <a href="#orgab51d08">6</a>) and for the signal going through the slip-ring (figure <a href="#org660c7b1">7</a>);
|
||||
</p>
|
||||
|
||||
|
||||
<div id="orgb38ee7b" class="figure">
|
||||
<div id="orgab51d08" class="figure">
|
||||
<p><img src="figs/sr_direct_time.png" alt="sr_direct_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Direct measurement</p>
|
||||
@@ -704,7 +453,7 @@ We plot the time domain data for the direct measurement (figure <a href="#orgb38
|
||||
|
||||
|
||||
|
||||
<div id="orgb1b1fc7" class="figure">
|
||||
<div id="org660c7b1" class="figure">
|
||||
<p><img src="figs/sr_slipring_time.png" alt="sr_slipring_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Measurement of the signal going through the Slip-Ring</p>
|
||||
@@ -712,18 +461,18 @@ We plot the time domain data for the direct measurement (figure <a href="#orgb38
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org3cf58bf" class="outline-3">
|
||||
<h3 id="org3cf58bf"><span class="section-number-3">2.4</span> Frequency Domain</h3>
|
||||
<div id="outline-container-org9809223" class="outline-3">
|
||||
<h3 id="org9809223"><span class="section-number-3">2.4</span> Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = sr_off<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>sr_off<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">dt = sr_off(2, 3)<span class="org-type">-</span>sr_off(1, 3);
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
Fs = 1<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">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
win = hanning(ceil(10<span class="org-type">*</span>Fs));
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -731,43 +480,43 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
|
||||
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxdir, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_off<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>pxoff, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_off<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>pxon, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px6r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_6r<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px60r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_60r<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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 class="src src-matlab">[pxdir, f] = pwelch(sr_off(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[pxoff, <span class="org-type">~</span>] = pwelch(sr_off(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[pxon, <span class="org-type">~</span>] = pwelch(sr_on(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px6r, <span class="org-type">~</span>] = pwelch(sr_6r(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px60r, <span class="org-type">~</span>] = pwelch(sr_60r(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
And we plot the ASD of the measured signals (figure <a href="#org15417d9">8</a>);
|
||||
And we plot the ASD of the measured signals (figure <a href="#org3bc5568">8</a>);
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxoff<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxon<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px6r<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px60r<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">60rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxdir<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'k-', 'DisplayName', 'Direct'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(pxoff), <span class="org-string">'DisplayName'</span>, <span class="org-string">'OFF'</span>);
|
||||
plot(f, sqrt(pxon), <span class="org-string">'DisplayName'</span>, <span class="org-string">'ON'</span>);
|
||||
plot(f, sqrt(px6r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'6rpm'</span>);
|
||||
plot(f, sqrt(px60r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'60rpm'</span>);
|
||||
plot(f, sqrt(pxdir), <span class="org-string">'k-'</span>, <span class="org-string">'DisplayName'</span>, <span class="org-string">'Direct'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</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">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<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>;
|
||||
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">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
xlim([0.1, 500]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org15417d9" class="figure">
|
||||
<div id="org3bc5568" class="figure">
|
||||
<p><img src="figs/sr_psd_compare.png" alt="sr_psd_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Comparison of the ASD of the measured signals when the slip-ring is ON, OFF and turning</p>
|
||||
</div>
|
||||
|
||||
<div class="note">
|
||||
<div class="note" id="org4b4a5f5">
|
||||
<p>
|
||||
<b>Questions:</b>
|
||||
</p>
|
||||
@@ -780,10 +529,10 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgfb3a7be" class="outline-3">
|
||||
<h3 id="orgfb3a7be"><span class="section-number-3">2.5</span> Conclusion</h3>
|
||||
<div id="outline-container-org6edde18" class="outline-3">
|
||||
<h3 id="org6edde18"><span class="section-number-3">2.5</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-2-5">
|
||||
<div class="important">
|
||||
<div class="important" id="org401fc3c">
|
||||
<ul class="org-ul">
|
||||
<li>The measurements are re-done using an additional low pass filter at the input of the voltage amplifier</li>
|
||||
</ul>
|
||||
@@ -792,13 +541,13 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="outline-container-orgf6e4281" class="outline-2">
|
||||
<h2 id="orgf6e4281"><span class="section-number-2">3</span> Measure of the noise induced by the Slip-Ring rotation - LPF added</h2>
|
||||
<div id="outline-container-org34a88cd" class="outline-2">
|
||||
<h2 id="org34a88cd"><span class="section-number-2">3</span> Measure of the noise induced by the Slip-Ring rotation - LPF added</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
<p>
|
||||
<a id="org6764371"></a>
|
||||
<a id="org6fb7c81"></a>
|
||||
</p>
|
||||
<div class="note">
|
||||
<div class="note" id="orgffe6059">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/meas_slip_ring_lpf.zip">here</a>.
|
||||
</p>
|
||||
@@ -806,8 +555,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_slip_r
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org7da9e34" class="outline-3">
|
||||
<h3 id="org7da9e34"><span class="section-number-3">3.1</span> Measurement description</h3>
|
||||
<div id="outline-container-org9842ef1" class="outline-3">
|
||||
<h3 id="org9842ef1"><span class="section-number-3">3.1</span> Measurement description</h3>
|
||||
<div class="outline-text-3" id="text-3-1">
|
||||
<p>
|
||||
<b>Setup</b>:
|
||||
@@ -906,50 +655,50 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org62f4c0b" class="outline-3">
|
||||
<h3 id="org62f4c0b"><span class="section-number-3">3.2</span> Load data</h3>
|
||||
<div id="outline-container-org301dd52" class="outline-3">
|
||||
<h3 id="org301dd52"><span class="section-number-3">3.2</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-3-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">sr_of = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_030.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_of = sr_of.data;
|
||||
sr_on = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_031.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_on = sr_on.data;
|
||||
sr_6r = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_032.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_6r = sr_6r.data;
|
||||
sr_60 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_033.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr_60 = sr_60.data;
|
||||
<pre class="src src-matlab">sr_of = load(<span class="org-string">'mat/data_030.mat'</span>, <span class="org-string">'data'</span>); sr_of = sr_of.data;
|
||||
sr_on = load(<span class="org-string">'mat/data_031.mat'</span>, <span class="org-string">'data'</span>); sr_on = sr_on.data;
|
||||
sr_6r = load(<span class="org-string">'mat/data_032.mat'</span>, <span class="org-string">'data'</span>); sr_6r = sr_6r.data;
|
||||
sr_60 = load(<span class="org-string">'mat/data_033.mat'</span>, <span class="org-string">'data'</span>); sr_60 = sr_60.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgebd2a5c" class="outline-3">
|
||||
<h3 id="orgebd2a5c"><span class="section-number-3">3.3</span> Time Domain</h3>
|
||||
<div id="outline-container-orgd6c3972" class="outline-3">
|
||||
<h3 id="orgd6c3972"><span class="section-number-3">3.3</span> Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-3-3">
|
||||
<p>
|
||||
We plot the time domain data for the direct measurement (figure <a href="#org5cb534e">9</a>) and for the signal going through the slip-ring (figure <a href="#org2958b47">11</a>);
|
||||
We plot the time domain data for the direct measurement (figure <a href="#org994e2d6">9</a>) and for the signal going through the slip-ring (figure <a href="#org87edab9">11</a>);
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org5cb534e" class="figure">
|
||||
<div id="org994e2d6" class="figure">
|
||||
<p><img src="figs/sr_direct_1khz_time.png" alt="sr_direct_1khz_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Direct measurement</p>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">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">0</span>.<span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>; ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">2e</span><span class="org-type">-</span><span class="org-highlight-numbers-number">3</span>, <span class="org-highlight-numbers-number">2e</span><span class="org-type">-</span><span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">xlim([0, 0.2]); ylim([<span class="org-type">-</span>2e<span class="org-type">-</span>3, 2e<span class="org-type">-</span>3]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgc1ab96f" class="figure">
|
||||
<div id="orgaf6700b" class="figure">
|
||||
<p><img src="figs/sr_direct_1khz_time_zoom.png" alt="sr_direct_1khz_time_zoom.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 10: </span>Direct measurement - Zoom</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org2958b47" class="figure">
|
||||
<div id="org87edab9" class="figure">
|
||||
<p><img src="figs/sr_slipring_1khz_time.png" alt="sr_slipring_1khz_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 11: </span>Measurement of the signal going through the Slip-Ring</p>
|
||||
@@ -957,18 +706,18 @@ We plot the time domain data for the direct measurement (figure <a href="#org5cb
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org3866b73" class="outline-3">
|
||||
<h3 id="org3866b73"><span class="section-number-3">3.4</span> Frequency Domain - Direct Signal</h3>
|
||||
<div id="outline-container-org6579314" class="outline-3">
|
||||
<h3 id="org6579314"><span class="section-number-3">3.4</span> Frequency Domain - Direct Signal</h3>
|
||||
<div class="outline-text-3" id="text-3-4">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = sr_of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>sr_of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">dt = sr_of(2, 3)<span class="org-type">-</span>sr_of(1, 3);
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
Fs = 1<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">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
win = hanning(ceil(10<span class="org-type">*</span>Fs));
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -976,31 +725,31 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
|
||||
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>px_d_of, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_d_on, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_d_6r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_6r<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_d_60, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_60<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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 class="src src-matlab">[px_d_of, f] = pwelch(sr_of(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[px_d_on, <span class="org-type">~</span>] = pwelch(sr_on(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[px_d_6r, <span class="org-type">~</span>] = pwelch(sr_6r(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[px_d_60, <span class="org-type">~</span>] = pwelch(sr_60(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_d_of<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_d_on<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_d_6r<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_d_60<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">60rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(px_d_of), <span class="org-string">'DisplayName'</span>, <span class="org-string">'OFF'</span>);
|
||||
plot(f, sqrt(px_d_on), <span class="org-string">'DisplayName'</span>, <span class="org-string">'ON'</span>);
|
||||
plot(f, sqrt(px_d_6r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'6rpm'</span>);
|
||||
plot(f, sqrt(px_d_60), <span class="org-string">'DisplayName'</span>, <span class="org-string">'60rpm'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</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">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<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>;
|
||||
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">1</span>, <span class="org-highlight-numbers-number">5000</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
xlim([0.1, 5000]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org861f9e3" class="figure">
|
||||
<div id="org5a81a77" class="figure">
|
||||
<p><img src="figs/sr_psd_1khz_direct.png" alt="sr_psd_1khz_direct.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 12: </span>Amplitude Spectral Density of the signal going directly to the ADC</p>
|
||||
@@ -1008,36 +757,36 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9c9986f" class="outline-3">
|
||||
<h3 id="org9c9986f"><span class="section-number-3">3.5</span> Frequency Domain - Slip-Ring Signal</h3>
|
||||
<div id="outline-container-orgf591b45" class="outline-3">
|
||||
<h3 id="orgf591b45"><span class="section-number-3">3.5</span> Frequency Domain - Slip-Ring Signal</h3>
|
||||
<div class="outline-text-3" id="text-3-5">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>px_sr_of, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_sr_on, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_sr_6r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_6r<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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>px_sr_60, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr_60<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, 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 class="src src-matlab">[px_sr_of, f] = pwelch(sr_of(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px_sr_on, <span class="org-type">~</span>] = pwelch(sr_on(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px_sr_6r, <span class="org-type">~</span>] = pwelch(sr_6r(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px_sr_60, <span class="org-type">~</span>] = pwelch(sr_60(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_sr_of<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_sr_on<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_sr_6r<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_sr_60<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', '<span class="org-highlight-numbers-number">60rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px_d_of<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'-k', 'DisplayName', 'Direct'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(px_sr_of), <span class="org-string">'DisplayName'</span>, <span class="org-string">'OFF'</span>);
|
||||
plot(f, sqrt(px_sr_on), <span class="org-string">'DisplayName'</span>, <span class="org-string">'ON'</span>);
|
||||
plot(f, sqrt(px_sr_6r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'6rpm'</span>);
|
||||
plot(f, sqrt(px_sr_60), <span class="org-string">'DisplayName'</span>, <span class="org-string">'60rpm'</span>);
|
||||
plot(f, sqrt(px_d_of), <span class="org-string">'-k'</span>, <span class="org-string">'DisplayName'</span>, <span class="org-string">'Direct'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</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">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<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>;
|
||||
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">1</span>, <span class="org-highlight-numbers-number">5000</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
xlim([0.1, 5000]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org29ed3a7" class="figure">
|
||||
<div id="orgab20b33" class="figure">
|
||||
<p><img src="figs/sr_psd_1khz_slipring.png" alt="sr_psd_1khz_slipring.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 13: </span>Amplitude Spectral Density of the signal going through the slip-ring</p>
|
||||
@@ -1045,10 +794,10 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9d90d36" class="outline-3">
|
||||
<h3 id="org9d90d36"><span class="section-number-3">3.6</span> Conclusion</h3>
|
||||
<div id="outline-container-org599231a" class="outline-3">
|
||||
<h3 id="org599231a"><span class="section-number-3">3.6</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-3-6">
|
||||
<div class="important">
|
||||
<div class="important" id="org965e629">
|
||||
<ul class="org-ul">
|
||||
<li>We observe peaks at 12Hz and its harmonics for the signal going through the slip-ring when it is turning at 60rpm.</li>
|
||||
<li>Apart from that, the noise of the signal is the same when the slip-ring is off/on and turning</li>
|
||||
@@ -1063,8 +812,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-05-16 jeu. 13:34</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
<p class="date">Created: 2020-11-12 jeu. 10:29</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
Reference in New Issue
Block a user