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Thomas Dehaeze 2021-01-13 12:14:03 +01:00
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#+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png") #+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png")
:END: :END:
* Introduction :ignore: * Introduction
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 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]]. The documentation of the PD200 is accessible [[file:doc/PD200-V7-R1.pdf][here]].
#+name: fig:amplifier_PD200 #+name: fig:amplifier_PD200
#+caption: Picture of the PD200 Voltage Amplifier #+caption: Picture of the PD200 Voltage Amplifier
#+attr_latex: :width 0.8\linewidth
[[file:figs/amplifier_PD200.png]] [[file:figs/amplifier_PD200.png]]
* Voltage Amplifier Requirements * Voltage Amplifier Requirements
@ -87,10 +88,12 @@ For a load capacitance of $10\,\mu F$, the expected $-3\,dB$ bandwidth is $6.4\,
#+name: fig:pd200_expected_small_signal_bandwidth #+name: fig:pd200_expected_small_signal_bandwidth
#+caption:Expected small signal bandwidth #+caption:Expected small signal bandwidth
#+attr_latex: :width 0.8\linewidth
[[file:./figs/pd200_expected_small_signal_bandwidth.png]] [[file:./figs/pd200_expected_small_signal_bandwidth.png]]
#+name: fig:pd200_expected_noise #+name: fig:pd200_expected_noise
#+caption: Expected Low frequency noise from 0.03Hz to 20Hz #+caption: Expected Low frequency noise from 0.03Hz to 20Hz
#+attr_latex: :width 0.8\linewidth
[[file:figs/pd200_expected_noise.png]] [[file:figs/pd200_expected_noise.png]]
* Voltage Amplifier Model * Voltage Amplifier Model
@ -100,6 +103,10 @@ Ideally, the gain from $V_{in}$ to $V_{out}$ is constant over a wide frequency b
It is also characterized by its output noise $n$. It is also characterized by its output noise $n$.
This noise is described by its Power Spectral Density. This noise is described by its Power Spectral Density.
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.
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.
#+begin_src latex :file pd200-model-schematic.pdf #+begin_src latex :file pd200-model-schematic.pdf
\begin{tikzpicture} \begin{tikzpicture}
\node[block] (G) at (0,0){$G_a(s)$}; \node[block] (G) at (0,0){$G_a(s)$};
@ -127,7 +134,7 @@ This noise is described by its Power Spectral Density.
#+begin_note #+begin_note
Here are the documentation of the equipment used for this test bench: Here are the documentation of the equipment used for this test bench:
- Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]] - Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]]
- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10μF Multilayer Ceramic Capacitor]] - Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10uF Multilayer Ceramic Capacitor]]
- Low Noise Voltage Amplifier [[file:doc/egg-5113-preamplifier.pdf][EG&G 5113]] - Low Noise Voltage Amplifier [[file:doc/egg-5113-preamplifier.pdf][EG&G 5113]]
- Speedgoat ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]] - Speedgoat ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
#+end_note #+end_note
@ -140,7 +147,7 @@ If we suppose a white noise, this correspond to an amplitude spectral density:
The RMS noise begin very small compare to the ADC resolution, we must amplify the noise before digitizing the signal. 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. 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. 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.
The gain of the low-noise amplifier can be increased until the full range of the ADC is used. 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. This gain should be around 1000.
@ -150,17 +157,19 @@ This gain should be around 1000.
#+attr_latex: :width \linewidth #+attr_latex: :width \linewidth
[[file:figs/setup-noise-measurement.png]] [[file:figs/setup-noise-measurement.png]]
A low pass filter at 10kHz can be included in the EG&G amplifier in order to limit aliasing.
An high pass filter at low frequency can be added if there is a problem of large offset.
** Results ** Results
* Transfer Function measurement * Transfer Function measurement
** Setup ** 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. 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 #+begin_note
Here are the documentation of the equipment used for this test bench: Here are the documentation of the equipment used for this test bench:
- Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]] - Voltage Amplifier [[file:doc/PD200-V7-R1.pdf][PD200]]
- Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10μF Multilayer Ceramic Capacitor]] - Load Capacitor [[file:doc/0900766b815ea422.pdf][EPCOS 10uF Multilayer Ceramic Capacitor]]
- Speedgoat DAC/ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]] - Speedgoat DAC/ADC [[file:doc/IO131-OEM-Datasheet.pdf][IO313]]
#+end_note #+end_note

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