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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head> <head>
<!-- 2020-12-16 mer. 16:21 --> <!-- 2021-01-04 lun. 11:09 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Voltage Amplifier PD200 - Test Bench</title> <title>Voltage Amplifier PD200 - Test Bench</title>
<meta name="generator" content="Org mode" /> <meta name="generator" content="Org mode" />
@ -30,22 +30,22 @@
<h2>Table of Contents</h2> <h2>Table of Contents</h2>
<div id="text-table-of-contents"> <div id="text-table-of-contents">
<ul> <ul>
<li><a href="#orgfb31e11">1. Voltage Amplifier Requirements</a></li> <li><a href="#orgeefbe5b">1. Voltage Amplifier Requirements</a></li>
<li><a href="#orgee1f673">2. PD200 Expected characteristics</a></li> <li><a href="#org2f6194f">2. PD200 Expected characteristics</a></li>
<li><a href="#orge51d5d9">3. Voltage Amplifier Model</a></li> <li><a href="#org12065bf">3. Voltage Amplifier Model</a></li>
<li><a href="#org7a52602">4. Noise measurement</a> <li><a href="#orgc5fc98e">4. Noise measurement</a>
<ul> <ul>
<li><a href="#orgd979e42">4.1. Setup</a></li> <li><a href="#org72632dc">4.1. Setup</a></li>
<li><a href="#org51b1a0b">4.2. Results</a></li> <li><a href="#org5fe0cf7">4.2. Results</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org7f43819">5. Transfer Function measurement</a> <li><a href="#org0e85ab7">5. Transfer Function measurement</a>
<ul> <ul>
<li><a href="#org6e3bc25">5.1. Setup</a></li> <li><a href="#org23bb14f">5.1. Setup</a></li>
<li><a href="#org81071bc">5.2. Results</a></li> <li><a href="#org58d7c48">5.2. Results</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org9fae936">6. Conclusion</a></li> <li><a href="#org351e02f">6. Conclusion</a></li>
</ul> </ul>
</div> </div>
</div> </div>
@ -58,10 +58,17 @@ The goal of this test bench is to characterize the Voltage amplifier <a href="ht
The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here</a>. The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here</a>.
</p> </p>
<div id="outline-container-orgfb31e11" class="outline-2">
<h2 id="orgfb31e11"><span class="section-number-2">1</span> Voltage Amplifier Requirements</h2> <div id="org97d8bc1" class="figure">
<p><img src="figs/amplifier_PD200.png" alt="amplifier_PD200.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Picture of the PD200 Voltage Amplifier</p>
</div>
<div id="outline-container-orgeefbe5b" class="outline-2">
<h2 id="orgeefbe5b"><span class="section-number-2">1</span> Voltage Amplifier Requirements</h2>
<div class="outline-text-2" id="text-1"> <div class="outline-text-2" id="text-1">
<table id="orgf061986" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="orgcb23c6e" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> Requirements for the Voltage Amplifier</caption> <caption class="t-above"><span class="table-number">Table 1:</span> Requirements for the Voltage Amplifier</caption>
<colgroup> <colgroup>
@ -105,10 +112,10 @@ The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here<
</div> </div>
</div> </div>
<div id="outline-container-orgee1f673" class="outline-2"> <div id="outline-container-org2f6194f" class="outline-2">
<h2 id="orgee1f673"><span class="section-number-2">2</span> PD200 Expected characteristics</h2> <h2 id="org2f6194f"><span class="section-number-2">2</span> PD200 Expected characteristics</h2>
<div class="outline-text-2" id="text-2"> <div class="outline-text-2" id="text-2">
<table id="org1436444" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org37a9738" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> Characteristics of the PD200</caption> <caption class="t-above"><span class="table-number">Table 2:</span> Characteristics of the PD200</caption>
<colgroup> <colgroup>
@ -183,27 +190,27 @@ The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here<
</table> </table>
<p> <p>
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>). For a load capacitance of \(10\,\mu F\), the expected \(-3\,dB\) bandwidth is \(6.4\,kHz\) (Figure <a href="#org7cbbc0a">2</a>) and the low frequency noise is \(650\,\mu V\,\text{rms}\) (Figure <a href="#org99dc2f7">3</a>).
</p> </p>
<div id="org2773112" class="figure"> <div id="org7cbbc0a" class="figure">
<p><img src="./figs/pd200_expected_small_signal_bandwidth.png" alt="pd200_expected_small_signal_bandwidth.png" /> <p><img src="./figs/pd200_expected_small_signal_bandwidth.png" alt="pd200_expected_small_signal_bandwidth.png" />
</p> </p>
<p><span class="figure-number">Figure 1: </span>Expected small signal bandwidth</p> <p><span class="figure-number">Figure 2: </span>Expected small signal bandwidth</p>
</div> </div>
<div id="org1391d8a" class="figure"> <div id="org99dc2f7" class="figure">
<p><img src="figs/pd200_expected_noise.png" alt="pd200_expected_noise.png" /> <p><img src="figs/pd200_expected_noise.png" alt="pd200_expected_noise.png" />
</p> </p>
<p><span class="figure-number">Figure 2: </span>Expected Low frequency noise from 0.03Hz to 20Hz</p> <p><span class="figure-number">Figure 3: </span>Expected Low frequency noise from 0.03Hz to 20Hz</p>
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-orge51d5d9" class="outline-2"> <div id="outline-container-org12065bf" class="outline-2">
<h2 id="orge51d5d9"><span class="section-number-2">3</span> Voltage Amplifier Model</h2> <h2 id="org12065bf"><span class="section-number-2">3</span> Voltage Amplifier Model</h2>
<div class="outline-text-2" id="text-3"> <div class="outline-text-2" id="text-3">
<p> <p>
The Amplifier is characterized by its dynamics \(G_a(s)\) from voltage inputs \(V_{in}\) to voltage output \(V_{out}\). The Amplifier is characterized by its dynamics \(G_a(s)\) from voltage inputs \(V_{in}\) to voltage output \(V_{out}\).
@ -216,22 +223,22 @@ This noise is described by its Power Spectral Density.
</p> </p>
<div id="orge8b865c" class="figure"> <div id="org5f2ad81" class="figure">
<p><img src="figs/pd200-model-schematic.png" alt="pd200-model-schematic.png" /> <p><img src="figs/pd200-model-schematic.png" alt="pd200-model-schematic.png" />
</p> </p>
<p><span class="figure-number">Figure 3: </span>Model of the voltage amplifier</p> <p><span class="figure-number">Figure 4: </span>Model of the voltage amplifier</p>
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-org7a52602" class="outline-2"> <div id="outline-container-orgc5fc98e" class="outline-2">
<h2 id="org7a52602"><span class="section-number-2">4</span> Noise measurement</h2> <h2 id="orgc5fc98e"><span class="section-number-2">4</span> Noise measurement</h2>
<div class="outline-text-2" id="text-4"> <div class="outline-text-2" id="text-4">
</div> </div>
<div id="outline-container-orgd979e42" class="outline-3"> <div id="outline-container-org72632dc" class="outline-3">
<h3 id="orgd979e42"><span class="section-number-3">4.1</span> Setup</h3> <h3 id="org72632dc"><span class="section-number-3">4.1</span> Setup</h3>
<div class="outline-text-3" id="text-4-1"> <div class="outline-text-3" id="text-4-1">
<div class="note" id="org29d9663"> <div class="note" id="orgdee7438">
<p> <p>
Here are the documentation of the equipment used for this test bench: Here are the documentation of the equipment used for this test bench:
</p> </p>
@ -264,31 +271,31 @@ This gain should be around 1000.
</p> </p>
<div id="orgc79f7ff" class="figure"> <div id="orgcafa4d8" class="figure">
<p><img src="figs/setup-noise-measurement.png" alt="setup-noise-measurement.png" /> <p><img src="figs/setup-noise-measurement.png" alt="setup-noise-measurement.png" />
</p> </p>
<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> <p><span class="figure-number">Figure 5: </span>Schematic of the test bench to measure the Power Spectral Density of the Voltage amplifier noise \(n\)</p>
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-org51b1a0b" class="outline-3"> <div id="outline-container-org5fe0cf7" class="outline-3">
<h3 id="org51b1a0b"><span class="section-number-3">4.2</span> Results</h3> <h3 id="org5fe0cf7"><span class="section-number-3">4.2</span> Results</h3>
</div> </div>
</div> </div>
<div id="outline-container-org7f43819" class="outline-2"> <div id="outline-container-org0e85ab7" class="outline-2">
<h2 id="org7f43819"><span class="section-number-2">5</span> Transfer Function measurement</h2> <h2 id="org0e85ab7"><span class="section-number-2">5</span> Transfer Function measurement</h2>
<div class="outline-text-2" id="text-5"> <div class="outline-text-2" id="text-5">
</div> </div>
<div id="outline-container-org6e3bc25" class="outline-3"> <div id="outline-container-org23bb14f" class="outline-3">
<h3 id="org6e3bc25"><span class="section-number-3">5.1</span> Setup</h3> <h3 id="org23bb14f"><span class="section-number-3">5.1</span> Setup</h3>
<div class="outline-text-3" id="text-5-1"> <div class="outline-text-3" id="text-5-1">
<p> <p>
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. 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="#orgab136cf">6</a> is used.
</p> </p>
<div class="note" id="org3a21dec"> <div class="note" id="org6dbb8f7">
<p> <p>
Here are the documentation of the equipment used for this test bench: Here are the documentation of the equipment used for this test bench:
</p> </p>
@ -305,22 +312,22 @@ For this measurement, the sampling frequency of the Speedgoat ADC should be as h
</p> </p>
<div id="orgcbecb54" class="figure"> <div id="orgab136cf" class="figure">
<p><img src="figs/setup-dynamics-measurement.png" alt="setup-dynamics-measurement.png" /> <p><img src="figs/setup-dynamics-measurement.png" alt="setup-dynamics-measurement.png" />
</p> </p>
<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> <p><span class="figure-number">Figure 6: </span>Schematic of the test bench to estimate the dynamics from voltage input \(V_{in}\) to voltage output \(V_{out}\)</p>
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-org81071bc" class="outline-3"> <div id="outline-container-org58d7c48" class="outline-3">
<h3 id="org81071bc"><span class="section-number-3">5.2</span> Results</h3> <h3 id="org58d7c48"><span class="section-number-3">5.2</span> Results</h3>
</div> </div>
</div> </div>
<div id="outline-container-org9fae936" class="outline-2"> <div id="outline-container-org351e02f" class="outline-2">
<h2 id="org9fae936"><span class="section-number-2">6</span> Conclusion</h2> <h2 id="org351e02f"><span class="section-number-2">6</span> Conclusion</h2>
<div class="outline-text-2" id="text-6"> <div class="outline-text-2" id="text-6">
<table id="org808b3de" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org920ccdb" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 3:</span> Measured characteristics, Manual characterstics and specified ones</caption> <caption class="t-above"><span class="table-number">Table 3:</span> Measured characteristics, Manual characterstics and specified ones</caption>
<colgroup> <colgroup>
@ -410,7 +417,7 @@ For this measurement, the sampling frequency of the Speedgoat ADC should be as h
</div> </div>
<div id="postamble" class="status"> <div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p> <p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-12-16 mer. 16:21</p> <p class="date">Created: 2021-01-04 lun. 11:09</p>
</div> </div>
</body> </body>
</html> </html>

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@ -45,6 +45,10 @@ The goal of this test bench is to characterize the Voltage amplifier [[https://w
The documentation of the PD200 is accessible [[file:doc/PD200-V7-R1.pdf][here]]. The documentation of the PD200 is accessible [[file:doc/PD200-V7-R1.pdf][here]].
#+name: fig:amplifier_PD200
#+caption: Picture of the PD200 Voltage Amplifier
[[file:figs/amplifier_PD200.png]]
* Voltage Amplifier Requirements * Voltage Amplifier Requirements
#+name: tab:voltage_amplifier_requirements #+name: tab:voltage_amplifier_requirements