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index.org
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index.org
@ -40,13 +40,14 @@
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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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* Introduction
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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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#+name: fig:amplifier_PD200
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#+caption: Picture of the PD200 Voltage Amplifier
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#+attr_latex: :width 0.8\linewidth
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[[file:figs/amplifier_PD200.png]]
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* Voltage Amplifier Requirements
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@ -87,10 +88,12 @@ For a load capacitance of $10\,\mu F$, the expected $-3\,dB$ bandwidth is $6.4\,
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#+name: fig:pd200_expected_small_signal_bandwidth
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#+caption:Expected small signal bandwidth
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#+attr_latex: :width 0.8\linewidth
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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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#+attr_latex: :width 0.8\linewidth
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[[file:figs/pd200_expected_noise.png]]
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* Voltage Amplifier Model
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@ -100,6 +103,10 @@ Ideally, the gain from $V_{in}$ to $V_{out}$ is constant over a wide frequency b
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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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The objective is therefore to determine the transfer function $G_a(s)$ from the input voltage to the output voltage as well as the Power Spectral Density $S_n(\omega)$ of the amplifier output noise.
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As both $G_a$ and $S_n$ depends on the load capacitance, they should be measured when loading the amplifier with a $\SI{10}{\micro\farad}$ capacitor.
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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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@ -127,7 +134,7 @@ This noise is described by its Power Spectral Density.
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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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- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10uF 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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@ -140,7 +147,7 @@ If we suppose a white noise, this correspond to an amplitude spectral density:
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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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We use the amplifier EG&G 5113 that has 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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@ -150,17 +157,19 @@ This gain should be around 1000.
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#+attr_latex: :width \linewidth
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[[file:figs/setup-noise-measurement.png]]
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A low pass filter at 10kHz can be included in the EG&G amplifier in order to limit aliasing.
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An high pass filter at low frequency can be added if there is a problem of large offset.
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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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- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10uF 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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