188 lines
8.9 KiB
Org Mode
188 lines
8.9 KiB
Org Mode
#+TITLE: Voltage Amplifier PD200 - Test Bench
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:DRAWER:
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#+LANGUAGE: en
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#+EMAIL: dehaeze.thomas@gmail.com
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#+AUTHOR: Dehaeze Thomas
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#+HTML_LINK_HOME: ../index.html
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#+HTML_LINK_UP: ../index.html
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#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="https://research.tdehaeze.xyz/css/style.css"/>
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#+HTML_HEAD: <script type="text/javascript" src="https://research.tdehaeze.xyz/js/script.js"></script>
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#+BIND: org-latex-image-default-option "scale=1"
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#+BIND: org-latex-image-default-width ""
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#+LaTeX_CLASS: scrreprt
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#+LaTeX_CLASS_OPTIONS: [a4paper, 10pt, DIV=12, parskip=full]
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#+LaTeX_HEADER_EXTRA: \input{preamble.tex}
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#+PROPERTY: header-args:matlab :session *MATLAB*
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#+PROPERTY: header-args:matlab+ :comments org
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#+PROPERTY: header-args:matlab+ :exports both
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#+PROPERTY: header-args:matlab+ :results none
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#+PROPERTY: header-args:matlab+ :eval no-export
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#+PROPERTY: header-args:matlab+ :noweb yes
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#+PROPERTY: header-args:matlab+ :mkdirp yes
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#+PROPERTY: header-args:matlab+ :output-dir figs
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#+PROPERTY: header-args:latex :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/Cloud/tikz/org/}{config.tex}")
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#+PROPERTY: header-args:latex+ :imagemagick t :fit yes
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#+PROPERTY: header-args:latex+ :iminoptions -scale 100% -density 150
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#+PROPERTY: header-args:latex+ :imoutoptions -quality 100
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#+PROPERTY: header-args:latex+ :results file raw replace
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#+PROPERTY: header-args:latex+ :tangle no
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#+PROPERTY: header-args:latex+ :eval no-export
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#+PROPERTY: header-args:latex+ :exports results
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#+PROPERTY: header-args:latex+ :mkdirp yes
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#+PROPERTY: header-args:latex+ :output-dir figs
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#+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png")
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:END:
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* Introduction :ignore:
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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.
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The documentation of the PD200 is accessible [[file:doc/PD200-V7-R1.pdf][here]].
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* Voltage Amplifier Requirements
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#+name: tab:voltage_amplifier_requirements
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#+caption: Requirements for the Voltage Amplifier
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#+attr_latex: :environment tabularx :width 0.5\linewidth :align lX
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#+attr_latex: :center t :booktabs t :float t
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| <l> | <c> |
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| | *Specification* |
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|--------------------------------+--------------------|
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| Continuous Current | > 50 [mA] |
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| Output Voltage Noise (1-200Hz) | < 2 [mV rms] |
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| Voltage Input Range | +/- 10 [V] |
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| Voltage Output Range | -20 [V] to 150 [V] |
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| Small signal bandwidth (-3dB) | > 5 [kHz] |
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* PD200 Expected characteristics
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#+name: tab:pd200_characteristics
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#+caption: Characteristics of the PD200
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#+attr_latex: :environment tabularx :width \linewidth :align lXX
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#+attr_latex: :center t :booktabs t :float t
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| <l> | <c> | <c> |
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| *Characteristics* | *Manual* | *Specification* |
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|-------------------------------------+--------------+-----------------|
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| Input Voltage Range | +/- 10 [V] | +/- 10 [V] |
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| Output Voltage Range | -50/150 [V] | -20/150 [V] |
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| Gain | 20 [V/V] | |
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| Maximum RMS current | 0.9 [A] | > 50 [mA] |
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| Maximum Pulse current | 10 [A] | |
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| Slew Rate | 150 [V/us] | |
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| Noise (10uF load) | 0.7 [mV RMS] | < 2 [mV rms] |
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| Small Signal Bandwidth (10uF load) | 7.4 [kHz] | > 5 [kHz] |
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| Large Signal Bandwidth (150V, 10uF) | 300 [Hz] | |
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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]]).
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#+name: fig:pd200_expected_small_signal_bandwidth
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#+caption:Expected small signal bandwidth
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[[file:./figs/pd200_expected_small_signal_bandwidth.png]]
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#+name: fig:pd200_expected_noise
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#+caption: Expected Low frequency noise from 0.03Hz to 20Hz
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[[file:figs/pd200_expected_noise.png]]
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* Voltage Amplifier Model
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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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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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#+begin_src latex :file pd200-model-schematic.pdf
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\begin{tikzpicture}
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\node[block] (G) at (0,0){$G_a(s)$};
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\node[addb, right=0.8 of G] (add){};
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\draw[<-] (G.west) -- ++(-1.2, 0) node[above right]{$V_{in}$};
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\draw[->] (G.east) -- (add.west);
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\draw[->] (add.east) -- ++(1.2, 0) node[above left]{$V_{out}$};
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\draw[<-] (add.north) -- ++(0, 0.6) node[below right](n){$n$};
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\begin{scope}[on background layer]
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\node[fit={(G.south west) (n.north-|add.east)}, inner sep=8pt, draw, dashed, fill=black!20!white] (P) {};
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\node[below] at (P.north) {PD-200};
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\end{scope}
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\end{tikzpicture}
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#+end_src
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#+name: fig:pd200-model-schematic
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#+caption: Model of the voltage amplifier
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#+RESULTS:
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[[file:figs/pd200-model-schematic.png]]
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* Noise measurement
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** Setup
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#+begin_note
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Here are the documentation of the equipment used for this test bench:
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- Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]]
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- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10μF Multilayer Ceramic Capacitor]]
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- Low Noise Voltage Amplifier [[file:doc/egg-5113-preamplifier.pdf][EG&G 5113]]
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- Speedgoat ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
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#+end_note
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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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\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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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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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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#+name: fig:setup-noise-measurement
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#+caption: Schematic of the test bench to measure the Power Spectral Density of the Voltage amplifier noise $n$
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#+attr_latex: :width \linewidth
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[[file:figs/setup-noise-measurement.png]]
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** Results
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* Transfer Function measurement
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** Setup
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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 [[fig:setup-dynamics-measurement]] is used.
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#+begin_note
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Here are the documentation of the equipment used for this test bench:
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- Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]]
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- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10μF Multilayer Ceramic Capacitor]]
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- Speedgoat DAC/ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
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#+end_note
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For this measurement, the sampling frequency of the Speedgoat ADC should be as high as possible.
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#+name: fig:setup-dynamics-measurement
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#+caption: Schematic of the test bench to estimate the dynamics from voltage input $V_{in}$ to voltage output $V_{out}$
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[[file:figs/setup-dynamics-measurement.png]]
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** Results
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* Conclusion
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#+name: tab:table_name
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#+caption: Measured characteristics, Manual characterstics and specified ones
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#+attr_latex: :environment tabularx :width \linewidth :align lXXX
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#+attr_latex: :center t :booktabs t :float t
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| <l> | <c> | <c> | <c> |
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| *Characteristics* | *Measurement* | *Manual* | *Specification* |
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|-------------------------------------+---------------+--------------+-----------------|
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| Input Voltage Range | - | +/- 10 [V] | +/- 10 [V] |
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| Output Voltage Range | - | -50/150 [V] | -20/150 [V] |
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| Gain | | 20 [V/V] | - |
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| Maximum RMS current | | 0.9 [A] | > 50 [mA] |
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| Maximum Pulse current | | 10 [A] | - |
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| Slew Rate | | 150 [V/us] | - |
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| Noise (10uF load) | | 0.7 [mV RMS] | < 2 [mV rms] |
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| Small Signal Bandwidth (10uF load) | | 7.4 [kHz] | > 5 [kHz] |
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| Large Signal Bandwidth (150V, 10uF) | | 300 [Hz] | - |
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