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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
|
||||
<!-- 2020-12-14 lun. 17:26 -->
|
||||
<!-- 2020-12-16 mer. 16:21 -->
|
||||
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
|
||||
<title>Voltage Amplifier PD200 - Test Bench</title>
|
||||
<meta name="generator" content="Org mode" />
|
||||
@ -30,61 +30,387 @@
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#org90ca17e">1. Voltage Amplifier Model</a></li>
|
||||
<li><a href="#org26d3b73">2. Noise measurement</a></li>
|
||||
<li><a href="#org83fb6ce">3. Transfer Function measurement</a></li>
|
||||
<li><a href="#orgfb31e11">1. Voltage Amplifier Requirements</a></li>
|
||||
<li><a href="#orgee1f673">2. PD200 Expected characteristics</a></li>
|
||||
<li><a href="#orge51d5d9">3. Voltage Amplifier Model</a></li>
|
||||
<li><a href="#org7a52602">4. Noise measurement</a>
|
||||
<ul>
|
||||
<li><a href="#orgd979e42">4.1. Setup</a></li>
|
||||
<li><a href="#org51b1a0b">4.2. Results</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org7f43819">5. Transfer Function measurement</a>
|
||||
<ul>
|
||||
<li><a href="#org6e3bc25">5.1. Setup</a></li>
|
||||
<li><a href="#org81071bc">5.2. Results</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org9fae936">6. Conclusion</a></li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org90ca17e" class="outline-2">
|
||||
<h2 id="org90ca17e"><span class="section-number-2">1</span> Voltage Amplifier Model</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
The Amplifier is characterized by its dynamics from voltage inputs \(V_{in}\) to voltage output \(V_{out}\).
|
||||
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.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The documentation of the PD200 is accessible <a href="doc/PD200-V7-R1.pdf">here</a>.
|
||||
</p>
|
||||
|
||||
<div id="outline-container-orgfb31e11" class="outline-2">
|
||||
<h2 id="orgfb31e11"><span class="section-number-2">1</span> Voltage Amplifier Requirements</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<table id="orgf061986" 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>
|
||||
|
||||
<colgroup>
|
||||
<col class="org-left" />
|
||||
|
||||
<col class="org-center" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-left"> </th>
|
||||
<th scope="col" class="org-center"><b>Specification</b></th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-left">Continuous Current</td>
|
||||
<td class="org-center">> 50 [mA]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Output Voltage Noise (1-200Hz)</td>
|
||||
<td class="org-center">< 2 [mV rms]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Voltage Input Range</td>
|
||||
<td class="org-center">+/- 10 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Voltage Output Range</td>
|
||||
<td class="org-center">-20 [V] to 150 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Small signal bandwidth (-3dB)</td>
|
||||
<td class="org-center">> 5 [kHz]</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgee1f673" class="outline-2">
|
||||
<h2 id="orgee1f673"><span class="section-number-2">2</span> PD200 Expected characteristics</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<table id="org1436444" 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>
|
||||
|
||||
<colgroup>
|
||||
<col class="org-left" />
|
||||
|
||||
<col class="org-center" />
|
||||
|
||||
<col class="org-center" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-left"><b>Characteristics</b></th>
|
||||
<th scope="col" class="org-center"><b>Manual</b></th>
|
||||
<th scope="col" class="org-center"><b>Specification</b></th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-left">Input Voltage Range</td>
|
||||
<td class="org-center">+/- 10 [V]</td>
|
||||
<td class="org-center">+/- 10 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Output Voltage Range</td>
|
||||
<td class="org-center">-50/150 [V]</td>
|
||||
<td class="org-center">-20/150 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Gain</td>
|
||||
<td class="org-center">20 [V/V]</td>
|
||||
<td class="org-center"> </td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Maximum RMS current</td>
|
||||
<td class="org-center">0.9 [A]</td>
|
||||
<td class="org-center">> 50 [mA]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Maximum Pulse current</td>
|
||||
<td class="org-center">10 [A]</td>
|
||||
<td class="org-center"> </td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Slew Rate</td>
|
||||
<td class="org-center">150 [V/us]</td>
|
||||
<td class="org-center"> </td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Noise (10uF load)</td>
|
||||
<td class="org-center">0.7 [mV RMS]</td>
|
||||
<td class="org-center">< 2 [mV rms]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Small Signal Bandwidth (10uF load)</td>
|
||||
<td class="org-center">7.4 [kHz]</td>
|
||||
<td class="org-center">> 5 [kHz]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Large Signal Bandwidth (150V, 10uF)</td>
|
||||
<td class="org-center">300 [Hz]</td>
|
||||
<td class="org-center"> </td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
<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>).
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org2773112" class="figure">
|
||||
<p><img src="./figs/pd200_expected_small_signal_bandwidth.png" alt="pd200_expected_small_signal_bandwidth.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Expected small signal bandwidth</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org1391d8a" class="figure">
|
||||
<p><img src="figs/pd200_expected_noise.png" alt="pd200_expected_noise.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Expected Low frequency noise from 0.03Hz to 20Hz</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orge51d5d9" class="outline-2">
|
||||
<h2 id="orge51d5d9"><span class="section-number-2">3</span> Voltage Amplifier Model</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
<p>
|
||||
The Amplifier is characterized by its dynamics \(G_a(s)\) from voltage inputs \(V_{in}\) to voltage output \(V_{out}\).
|
||||
Ideally, the gain from \(V_{in}\) to \(V_{out}\) is constant over a wide frequency band with very small phase drop.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
It is also characterized by its input noise \(n\).
|
||||
It is also characterized by its output noise \(n\).
|
||||
This noise is described by its Power Spectral Density.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org8977a85" class="figure">
|
||||
<div id="orge8b865c" class="figure">
|
||||
<p><img src="figs/pd200-model-schematic.png" alt="pd200-model-schematic.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Model of the voltage amplifier</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org26d3b73" class="outline-2">
|
||||
<h2 id="org26d3b73"><span class="section-number-2">2</span> Noise measurement</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<div id="outline-container-org7a52602" class="outline-2">
|
||||
<h2 id="org7a52602"><span class="section-number-2">4</span> Noise measurement</h2>
|
||||
<div class="outline-text-2" id="text-4">
|
||||
</div>
|
||||
<div id="outline-container-orgd979e42" class="outline-3">
|
||||
<h3 id="orgd979e42"><span class="section-number-3">4.1</span> Setup</h3>
|
||||
<div class="outline-text-3" id="text-4-1">
|
||||
<div class="note" id="org29d9663">
|
||||
<p>
|
||||
Here are the documentation of the equipment used for this test bench:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Voltage Amplifier <a href="doc/PD200-V7-R1.pdf">PD200</a></li>
|
||||
<li>Load Capacitor <a href="doc/0900766b815ea422.pdf">EPCOS 10μF Multilayer Ceramic Capacitor</a></li>
|
||||
<li>Low Noise Voltage Amplifier <a href="doc/egg-5113-preamplifier.pdf">EG&G 5113</a></li>
|
||||
<li>Speedgoat ADC <a href="doc/IO131-OEM-Datasheet.pdf">IO313</a></li>
|
||||
</ul>
|
||||
|
||||
<div id="org11e9fa2" class="figure">
|
||||
</div>
|
||||
|
||||
<p>
|
||||
The output noise of the voltage amplifier PD200 is foreseen to be around 1mV rms in a bandwidth from DC to 1MHz.
|
||||
If we suppose a white noise, this correspond to an amplitude spectral density:
|
||||
</p>
|
||||
\begin{equation}
|
||||
\phi_{n} \approx \frac{1\,mV}{\sqrt{1\,MHz}} = 1 \frac{\mu V}{\sqrt{Hz}}
|
||||
\end{equation}
|
||||
|
||||
<p>
|
||||
The RMS noise begin very small compare to the ADC resolution, we must amplify the noise before digitizing the signal.
|
||||
The added noise of the instrumentation amplifier should be much smaller than the noise of the PD200.
|
||||
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.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The gain of the low-noise amplifier can be increased until the full range of the ADC is used.
|
||||
This gain should be around 1000.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="orgc79f7ff" class="figure">
|
||||
<p><img src="figs/setup-noise-measurement.png" alt="setup-noise-measurement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Figure caption</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>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org83fb6ce" class="outline-2">
|
||||
<h2 id="org83fb6ce"><span class="section-number-2">3</span> Transfer Function measurement</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
<div id="outline-container-org51b1a0b" class="outline-3">
|
||||
<h3 id="org51b1a0b"><span class="section-number-3">4.2</span> Results</h3>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="org6a1d091" class="figure">
|
||||
<div id="outline-container-org7f43819" class="outline-2">
|
||||
<h2 id="org7f43819"><span class="section-number-2">5</span> Transfer Function measurement</h2>
|
||||
<div class="outline-text-2" id="text-5">
|
||||
</div>
|
||||
<div id="outline-container-org6e3bc25" class="outline-3">
|
||||
<h3 id="org6e3bc25"><span class="section-number-3">5.1</span> Setup</h3>
|
||||
<div class="outline-text-3" id="text-5-1">
|
||||
<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.
|
||||
</p>
|
||||
|
||||
<div class="note" id="org3a21dec">
|
||||
<p>
|
||||
Here are the documentation of the equipment used for this test bench:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Voltage Amplifier <a href="doc/PD200-V7-R1.pdf">PD200</a></li>
|
||||
<li>Load Capacitor <a href="doc/0900766b815ea422.pdf">EPCOS 10μF Multilayer Ceramic Capacitor</a></li>
|
||||
<li>Speedgoat DAC/ADC <a href="doc/IO131-OEM-Datasheet.pdf">IO313</a></li>
|
||||
</ul>
|
||||
|
||||
</div>
|
||||
|
||||
<p>
|
||||
For this measurement, the sampling frequency of the Speedgoat ADC should be as high as possible.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="orgcbecb54" class="figure">
|
||||
<p><img src="figs/setup-dynamics-measurement.png" alt="setup-dynamics-measurement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Figure caption</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>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org81071bc" class="outline-3">
|
||||
<h3 id="org81071bc"><span class="section-number-3">5.2</span> Results</h3>
|
||||
</div>
|
||||
</div>
|
||||
<div id="outline-container-org9fae936" class="outline-2">
|
||||
<h2 id="org9fae936"><span class="section-number-2">6</span> Conclusion</h2>
|
||||
<div class="outline-text-2" id="text-6">
|
||||
<table id="org808b3de" 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>
|
||||
|
||||
<colgroup>
|
||||
<col class="org-left" />
|
||||
|
||||
<col class="org-center" />
|
||||
|
||||
<col class="org-center" />
|
||||
|
||||
<col class="org-center" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-left"><b>Characteristics</b></th>
|
||||
<th scope="col" class="org-center"><b>Measurement</b></th>
|
||||
<th scope="col" class="org-center"><b>Manual</b></th>
|
||||
<th scope="col" class="org-center"><b>Specification</b></th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-left">Input Voltage Range</td>
|
||||
<td class="org-center">-</td>
|
||||
<td class="org-center">+/- 10 [V]</td>
|
||||
<td class="org-center">+/- 10 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Output Voltage Range</td>
|
||||
<td class="org-center">-</td>
|
||||
<td class="org-center">-50/150 [V]</td>
|
||||
<td class="org-center">-20/150 [V]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Gain</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">20 [V/V]</td>
|
||||
<td class="org-center">-</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Maximum RMS current</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">0.9 [A]</td>
|
||||
<td class="org-center">> 50 [mA]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Maximum Pulse current</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">10 [A]</td>
|
||||
<td class="org-center">-</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Slew Rate</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">150 [V/us]</td>
|
||||
<td class="org-center">-</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Noise (10uF load)</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">0.7 [mV RMS]</td>
|
||||
<td class="org-center">< 2 [mV rms]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Small Signal Bandwidth (10uF load)</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">7.4 [kHz]</td>
|
||||
<td class="org-center">> 5 [kHz]</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-left">Large Signal Bandwidth (150V, 10uF)</td>
|
||||
<td class="org-center"> </td>
|
||||
<td class="org-center">300 [Hz]</td>
|
||||
<td class="org-center">-</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2020-12-14 lun. 17:26</p>
|
||||
<p class="date">Created: 2020-12-16 mer. 16:21</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
102
index.org
102
index.org
@ -43,25 +43,71 @@
|
||||
* Introduction :ignore:
|
||||
The goal of this test bench is to characterize the Voltage amplifier [[https://www.piezodrive.com/drivers/pd200-60-watt-voltage-amplifier/][PD200]] from PiezoDrive.
|
||||
|
||||
The documentation of the PD200 is accessible [[file:doc/PD200-V7-R1.pdf][here]].
|
||||
|
||||
* Voltage Amplifier Requirements
|
||||
|
||||
#+name: tab:voltage_amplifier_requirements
|
||||
#+caption: Requirements for the Voltage Amplifier
|
||||
#+attr_latex: :environment tabularx :width 0.5\linewidth :align lX
|
||||
#+attr_latex: :center t :booktabs t :float t
|
||||
| <l> | <c> |
|
||||
| | *Specification* |
|
||||
|--------------------------------+--------------------|
|
||||
| Continuous Current | > 50 [mA] |
|
||||
| Output Voltage Noise (1-200Hz) | < 2 [mV rms] |
|
||||
| Voltage Input Range | +/- 10 [V] |
|
||||
| Voltage Output Range | -20 [V] to 150 [V] |
|
||||
| Small signal bandwidth (-3dB) | > 5 [kHz] |
|
||||
|
||||
* PD200 Expected characteristics
|
||||
|
||||
#+name: tab:pd200_characteristics
|
||||
#+caption: Characteristics of the PD200
|
||||
#+attr_latex: :environment tabularx :width \linewidth :align lXX
|
||||
#+attr_latex: :center t :booktabs t :float t
|
||||
| <l> | <c> | <c> |
|
||||
| *Characteristics* | *Manual* | *Specification* |
|
||||
|-------------------------------------+--------------+-----------------|
|
||||
| Input Voltage Range | +/- 10 [V] | +/- 10 [V] |
|
||||
| Output Voltage Range | -50/150 [V] | -20/150 [V] |
|
||||
| Gain | 20 [V/V] | |
|
||||
| Maximum RMS current | 0.9 [A] | > 50 [mA] |
|
||||
| Maximum Pulse current | 10 [A] | |
|
||||
| Slew Rate | 150 [V/us] | |
|
||||
| Noise (10uF load) | 0.7 [mV RMS] | < 2 [mV rms] |
|
||||
| Small Signal Bandwidth (10uF load) | 7.4 [kHz] | > 5 [kHz] |
|
||||
| Large Signal Bandwidth (150V, 10uF) | 300 [Hz] | |
|
||||
|
||||
For a load capacitance of $10\,\mu F$, the expected $-3\,dB$ bandwidth is $6.4\,kHz$ (Figure [[fig:pd200_expected_small_signal_bandwidth]]) and the low frequency noise is $650\,\mu V\,\text{rms}$ (Figure [[fig:pd200_expected_noise]]).
|
||||
|
||||
#+name: fig:pd200_expected_small_signal_bandwidth
|
||||
#+caption:Expected small signal bandwidth
|
||||
[[file:./figs/pd200_expected_small_signal_bandwidth.png]]
|
||||
|
||||
#+name: fig:pd200_expected_noise
|
||||
#+caption: Expected Low frequency noise from 0.03Hz to 20Hz
|
||||
[[file:figs/pd200_expected_noise.png]]
|
||||
|
||||
* Voltage Amplifier Model
|
||||
The Amplifier is characterized by its dynamics 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 $V_{out}$.
|
||||
Ideally, the gain from $V_{in}$ to $V_{out}$ is constant over a wide frequency band with very small phase drop.
|
||||
|
||||
It is also characterized by its input noise $n$.
|
||||
It is also characterized by its output noise $n$.
|
||||
This noise is described by its Power Spectral Density.
|
||||
|
||||
#+begin_src latex :file pd200-model-schematic.pdf
|
||||
\begin{tikzpicture}
|
||||
\node[block] (G) at (0,0){$G(s)$};
|
||||
\node[addb, left=0.8 of G] (add){};
|
||||
\node[block] (G) at (0,0){$G_a(s)$};
|
||||
\node[addb, right=0.8 of G] (add){};
|
||||
|
||||
\draw[<-] (add.west) -- ++(-1.2, 0) node[above right]{$V_{in}$};
|
||||
\draw[->] (add.east) -- (G.west);
|
||||
\draw[->] (G.east) -- ++(1.2, 0) node[above left]{$V_{out}$};
|
||||
\draw[<-] (G.west) -- ++(-1.2, 0) node[above right]{$V_{in}$};
|
||||
\draw[->] (G.east) -- (add.west);
|
||||
\draw[->] (add.east) -- ++(1.2, 0) node[above left]{$V_{out}$};
|
||||
\draw[<-] (add.north) -- ++(0, 0.6) node[below right](n){$n$};
|
||||
|
||||
\begin{scope}[on background layer]
|
||||
\node[fit={(add.west|-G.south) (n.north-|G.east)}, inner sep=8pt, draw, dashed, fill=black!20!white] (P) {};
|
||||
\node[fit={(G.south west) (n.north-|add.east)}, inner sep=8pt, draw, dashed, fill=black!20!white] (P) {};
|
||||
\node[below] at (P.north) {PD-200};
|
||||
\end{scope}
|
||||
\end{tikzpicture}
|
||||
@ -73,7 +119,7 @@ This noise is described by its Power Spectral Density.
|
||||
[[file:figs/pd200-model-schematic.png]]
|
||||
|
||||
* Noise measurement
|
||||
|
||||
** Setup
|
||||
#+begin_note
|
||||
Here are the documentation of the equipment used for this test bench:
|
||||
- Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]]
|
||||
@ -82,13 +128,29 @@ Here are the documentation of the equipment used for this test bench:
|
||||
- Speedgoat ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
|
||||
#+end_note
|
||||
|
||||
The output noise of the voltage amplifier PD200 is foreseen to be around 1mV rms in a bandwidth from DC to 1MHz.
|
||||
If we suppose a white noise, this correspond to an amplitude spectral density:
|
||||
\begin{equation}
|
||||
\phi_{n} \approx \frac{1\,mV}{\sqrt{1\,MHz}} = 1 \frac{\mu V}{\sqrt{Hz}}
|
||||
\end{equation}
|
||||
|
||||
The RMS noise begin very small compare to the ADC resolution, we must amplify the noise before digitizing the signal.
|
||||
The added noise of the instrumentation amplifier should be much smaller than the noise of the PD200.
|
||||
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.
|
||||
|
||||
The gain of the low-noise amplifier can be increased until the full range of the ADC is used.
|
||||
This gain should be around 1000.
|
||||
|
||||
#+name: fig:setup-noise-measurement
|
||||
#+caption: Schematic of the test bench to measure the Power Spectral Density of the Voltage amplifier noise $n$
|
||||
#+attr_latex: :width \linewidth
|
||||
[[file:figs/setup-noise-measurement.png]]
|
||||
|
||||
** Results
|
||||
|
||||
* Transfer Function measurement
|
||||
|
||||
** Setup
|
||||
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 [[fig:setup-dynamics-measurement]] is used.
|
||||
|
||||
#+begin_note
|
||||
@ -98,6 +160,28 @@ Here are the documentation of the equipment used for this test bench:
|
||||
- Speedgoat DAC/ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
|
||||
#+end_note
|
||||
|
||||
For this measurement, the sampling frequency of the Speedgoat ADC should be as high as possible.
|
||||
|
||||
#+name: fig:setup-dynamics-measurement
|
||||
#+caption: Schematic of the test bench to estimate the dynamics from voltage input $V_{in}$ to voltage output $V_{out}$
|
||||
[[file:figs/setup-dynamics-measurement.png]]
|
||||
|
||||
** Results
|
||||
* Conclusion
|
||||
|
||||
#+name: tab:table_name
|
||||
#+caption: Measured characteristics, Manual characterstics and specified ones
|
||||
#+attr_latex: :environment tabularx :width \linewidth :align lXXX
|
||||
#+attr_latex: :center t :booktabs t :float t
|
||||
| <l> | <c> | <c> | <c> |
|
||||
| *Characteristics* | *Measurement* | *Manual* | *Specification* |
|
||||
|-------------------------------------+---------------+--------------+-----------------|
|
||||
| Input Voltage Range | - | +/- 10 [V] | +/- 10 [V] |
|
||||
| Output Voltage Range | - | -50/150 [V] | -20/150 [V] |
|
||||
| Gain | | 20 [V/V] | - |
|
||||
| Maximum RMS current | | 0.9 [A] | > 50 [mA] |
|
||||
| Maximum Pulse current | | 10 [A] | - |
|
||||
| Slew Rate | | 150 [V/us] | - |
|
||||
| Noise (10uF load) | | 0.7 [mV RMS] | < 2 [mV rms] |
|
||||
| Small Signal Bandwidth (10uF load) | | 7.4 [kHz] | > 5 [kHz] |
|
||||
| Large Signal Bandwidth (150V, 10uF) | | 300 [Hz] | - |
|
||||
|
||||
Loading…
Reference in New Issue
Block a user