417 lines
13 KiB
HTML
417 lines
13 KiB
HTML
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<!-- 2020-12-16 mer. 16:21 -->
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<title>Voltage Amplifier PD200 - Test Bench</title>
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<meta name="author" content="Dehaeze Thomas" />
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<div id="org-div-home-and-up">
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<a accesskey="h" href="../index.html"> UP </a>
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<a accesskey="H" href="../index.html"> HOME </a>
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</div><div id="content">
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<h1 class="title">Voltage Amplifier PD200 - Test Bench</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="#orgfb31e11">1. Voltage Amplifier Requirements</a></li>
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<li><a href="#orgee1f673">2. PD200 Expected characteristics</a></li>
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<li><a href="#orge51d5d9">3. Voltage Amplifier Model</a></li>
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<li><a href="#org7a52602">4. Noise measurement</a>
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<ul>
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<li><a href="#orgd979e42">4.1. Setup</a></li>
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<li><a href="#org51b1a0b">4.2. Results</a></li>
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</ul>
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</li>
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<li><a href="#org7f43819">5. Transfer Function measurement</a>
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<ul>
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<li><a href="#org6e3bc25">5.1. Setup</a></li>
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<li><a href="#org81071bc">5.2. Results</a></li>
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</ul>
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</li>
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<li><a href="#org9fae936">6. Conclusion</a></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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The goal of this test bench is to characterize the Voltage amplifier <a href="https://www.piezodrive.com/drivers/pd200-60-watt-voltage-amplifier/">PD200</a> from PiezoDrive.
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</p>
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<p>
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The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here</a>.
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</p>
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<div id="outline-container-orgfb31e11" class="outline-2">
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<h2 id="orgfb31e11"><span class="section-number-2">1</span> Voltage Amplifier Requirements</h2>
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<div class="outline-text-2" id="text-1">
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<table id="orgf061986" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 1:</span> Requirements for the Voltage Amplifier</caption>
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<colgroup>
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<col class="org-left" />
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<col class="org-center" />
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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"> </th>
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<th scope="col" class="org-center"><b>Specification</b></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">Continuous Current</td>
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<td class="org-center">> 50 [mA]</td>
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</tr>
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<tr>
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<td class="org-left">Output Voltage Noise (1-200Hz)</td>
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<td class="org-center">< 2 [mV rms]</td>
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</tr>
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<tr>
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<td class="org-left">Voltage Input Range</td>
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<td class="org-center">+/- 10 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Voltage Output Range</td>
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<td class="org-center">-20 [V] to 150 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Small signal bandwidth (-3dB)</td>
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<td class="org-center">> 5 [kHz]</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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<div id="outline-container-orgee1f673" class="outline-2">
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<h2 id="orgee1f673"><span class="section-number-2">2</span> PD200 Expected characteristics</h2>
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<div class="outline-text-2" id="text-2">
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<table id="org1436444" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 2:</span> Characteristics of the PD200</caption>
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<colgroup>
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<col class="org-left" />
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<col class="org-center" />
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<col class="org-center" />
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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"><b>Characteristics</b></th>
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<th scope="col" class="org-center"><b>Manual</b></th>
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<th scope="col" class="org-center"><b>Specification</b></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">Input Voltage Range</td>
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<td class="org-center">+/- 10 [V]</td>
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<td class="org-center">+/- 10 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Output Voltage Range</td>
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<td class="org-center">-50/150 [V]</td>
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<td class="org-center">-20/150 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Gain</td>
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<td class="org-center">20 [V/V]</td>
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<td class="org-center"> </td>
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</tr>
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<tr>
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<td class="org-left">Maximum RMS current</td>
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<td class="org-center">0.9 [A]</td>
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<td class="org-center">> 50 [mA]</td>
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</tr>
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<tr>
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<td class="org-left">Maximum Pulse current</td>
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<td class="org-center">10 [A]</td>
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<td class="org-center"> </td>
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</tr>
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<tr>
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<td class="org-left">Slew Rate</td>
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<td class="org-center">150 [V/us]</td>
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<td class="org-center"> </td>
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</tr>
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<tr>
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<td class="org-left">Noise (10uF load)</td>
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<td class="org-center">0.7 [mV RMS]</td>
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<td class="org-center">< 2 [mV rms]</td>
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</tr>
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<tr>
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<td class="org-left">Small Signal Bandwidth (10uF load)</td>
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<td class="org-center">7.4 [kHz]</td>
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<td class="org-center">> 5 [kHz]</td>
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</tr>
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<tr>
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<td class="org-left">Large Signal Bandwidth (150V, 10uF)</td>
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<td class="org-center">300 [Hz]</td>
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<td class="org-center"> </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 a load capacitance of \(10\,\mu F\), the expected \(-3\,dB\) bandwidth is \(6.4\,kHz\) (Figure <a href="#org2773112">1</a>) and the low frequency noise is \(650\,\mu V\,\text{rms}\) (Figure <a href="#org1391d8a">2</a>).
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</p>
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<div id="org2773112" class="figure">
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<p><img src="./figs/pd200_expected_small_signal_bandwidth.png" alt="pd200_expected_small_signal_bandwidth.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Expected small signal bandwidth</p>
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</div>
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<div id="org1391d8a" class="figure">
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<p><img src="figs/pd200_expected_noise.png" alt="pd200_expected_noise.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Expected Low frequency noise from 0.03Hz to 20Hz</p>
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</div>
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</div>
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</div>
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<div id="outline-container-orge51d5d9" class="outline-2">
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<h2 id="orge51d5d9"><span class="section-number-2">3</span> Voltage Amplifier Model</h2>
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<div class="outline-text-2" id="text-3">
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<p>
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The Amplifier is characterized by its dynamics \(G_a(s)\) from voltage inputs \(V_{in}\) to voltage output \(V_{out}\).
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Ideally, the gain from \(V_{in}\) to \(V_{out}\) is constant over a wide frequency band with very small phase drop.
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</p>
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<p>
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It is also characterized by its output noise \(n\).
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This noise is described by its Power Spectral Density.
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</p>
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<div id="orge8b865c" class="figure">
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<p><img src="figs/pd200-model-schematic.png" alt="pd200-model-schematic.png" />
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</p>
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<p><span class="figure-number">Figure 3: </span>Model of the voltage amplifier</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org7a52602" class="outline-2">
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<h2 id="org7a52602"><span class="section-number-2">4</span> Noise measurement</h2>
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<div class="outline-text-2" id="text-4">
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</div>
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<div id="outline-container-orgd979e42" class="outline-3">
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<h3 id="orgd979e42"><span class="section-number-3">4.1</span> Setup</h3>
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<div class="outline-text-3" id="text-4-1">
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<div class="note" id="org29d9663">
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<p>
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Here are the documentation of the equipment used for this test bench:
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</p>
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<ul class="org-ul">
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<li>Voltage Amplifier <a href="doc/PD200-V7-R1.pdf">PD200</a></li>
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<li>Load Capacitor <a href="doc/0900766b815ea422.pdf">EPCOS 10μF Multilayer Ceramic Capacitor</a></li>
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<li>Low Noise Voltage Amplifier <a href="doc/egg-5113-preamplifier.pdf">EG&G 5113</a></li>
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<li>Speedgoat ADC <a href="doc/IO131-OEM-Datasheet.pdf">IO313</a></li>
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</ul>
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</div>
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<p>
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The output noise of the voltage amplifier PD200 is foreseen to be around 1mV rms in a bandwidth from DC to 1MHz.
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If we suppose a white noise, this correspond to an amplitude spectral density:
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</p>
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\begin{equation}
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\phi_{n} \approx \frac{1\,mV}{\sqrt{1\,MHz}} = 1 \frac{\mu V}{\sqrt{Hz}}
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\end{equation}
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<p>
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The RMS noise begin very small compare to the ADC resolution, we must amplify the noise before digitizing the signal.
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The added noise of the instrumentation amplifier should be much smaller than the noise of the PD200.
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We use the amplifier EG&G 5113 that have a noise of \(\approx 4 nV/\sqrt{Hz}\) referred to its input which is much smaller than the noise induced by the PD200.
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</p>
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<p>
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The gain of the low-noise amplifier can be increased until the full range of the ADC is used.
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This gain should be around 1000.
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</p>
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<div id="orgc79f7ff" class="figure">
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<p><img src="figs/setup-noise-measurement.png" alt="setup-noise-measurement.png" />
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</p>
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<p><span class="figure-number">Figure 4: </span>Schematic of the test bench to measure the Power Spectral Density of the Voltage amplifier noise \(n\)</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org51b1a0b" class="outline-3">
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<h3 id="org51b1a0b"><span class="section-number-3">4.2</span> Results</h3>
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</div>
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</div>
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<div id="outline-container-org7f43819" class="outline-2">
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<h2 id="org7f43819"><span class="section-number-2">5</span> Transfer Function measurement</h2>
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<div class="outline-text-2" id="text-5">
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</div>
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<div id="outline-container-org6e3bc25" class="outline-3">
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<h3 id="org6e3bc25"><span class="section-number-3">5.1</span> Setup</h3>
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<div class="outline-text-3" id="text-5-1">
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<p>
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In order to measure the transfer function from the input voltage \(V_{in}\) to the output voltage \(V_{out}\), the test bench shown in Figure <a href="#orgcbecb54">5</a> is used.
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</p>
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<div class="note" id="org3a21dec">
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<p>
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Here are the documentation of the equipment used for this test bench:
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</p>
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<ul class="org-ul">
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<li>Voltage Amplifier <a href="doc/PD200-V7-R1.pdf">PD200</a></li>
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<li>Load Capacitor <a href="doc/0900766b815ea422.pdf">EPCOS 10μF Multilayer Ceramic Capacitor</a></li>
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<li>Speedgoat DAC/ADC <a href="doc/IO131-OEM-Datasheet.pdf">IO313</a></li>
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</ul>
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</div>
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<p>
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For this measurement, the sampling frequency of the Speedgoat ADC should be as high as possible.
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</p>
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<div id="orgcbecb54" class="figure">
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<p><img src="figs/setup-dynamics-measurement.png" alt="setup-dynamics-measurement.png" />
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</p>
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<p><span class="figure-number">Figure 5: </span>Schematic of the test bench to estimate the dynamics from voltage input \(V_{in}\) to voltage output \(V_{out}\)</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org81071bc" class="outline-3">
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<h3 id="org81071bc"><span class="section-number-3">5.2</span> Results</h3>
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</div>
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</div>
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<div id="outline-container-org9fae936" class="outline-2">
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<h2 id="org9fae936"><span class="section-number-2">6</span> Conclusion</h2>
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<div class="outline-text-2" id="text-6">
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<table id="org808b3de" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 3:</span> Measured characteristics, Manual characterstics and specified ones</caption>
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<colgroup>
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<col class="org-left" />
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<col class="org-center" />
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<col class="org-center" />
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<col class="org-center" />
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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"><b>Characteristics</b></th>
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<th scope="col" class="org-center"><b>Measurement</b></th>
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<th scope="col" class="org-center"><b>Manual</b></th>
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<th scope="col" class="org-center"><b>Specification</b></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">Input Voltage Range</td>
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<td class="org-center">-</td>
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<td class="org-center">+/- 10 [V]</td>
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<td class="org-center">+/- 10 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Output Voltage Range</td>
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<td class="org-center">-</td>
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<td class="org-center">-50/150 [V]</td>
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<td class="org-center">-20/150 [V]</td>
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</tr>
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<tr>
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<td class="org-left">Gain</td>
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<td class="org-center"> </td>
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<td class="org-center">20 [V/V]</td>
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<td class="org-center">-</td>
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</tr>
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<tr>
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<td class="org-left">Maximum RMS current</td>
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<td class="org-center"> </td>
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<td class="org-center">0.9 [A]</td>
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<td class="org-center">> 50 [mA]</td>
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</tr>
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<tr>
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<td class="org-left">Maximum Pulse current</td>
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<td class="org-center"> </td>
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<td class="org-center">10 [A]</td>
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<td class="org-center">-</td>
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</tr>
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<tr>
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<td class="org-left">Slew Rate</td>
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<td class="org-center"> </td>
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<td class="org-center">150 [V/us]</td>
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<td class="org-center">-</td>
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</tr>
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<tr>
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<td class="org-left">Noise (10uF load)</td>
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<td class="org-center"> </td>
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<td class="org-center">0.7 [mV RMS]</td>
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<td class="org-center">< 2 [mV rms]</td>
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</tr>
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<tr>
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<td class="org-left">Small Signal Bandwidth (10uF load)</td>
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<td class="org-center"> </td>
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<td class="org-center">7.4 [kHz]</td>
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<td class="org-center">> 5 [kHz]</td>
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</tr>
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<tr>
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<td class="org-left">Large Signal Bandwidth (150V, 10uF)</td>
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<td class="org-center"> </td>
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<td class="org-center">300 [Hz]</td>
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<td class="org-center">-</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-12-16 mer. 16:21</p>
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</div>
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</body>
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</html>
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