Add Output impedance measurements
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After Width: | Height: | Size: 62 KiB |
File diff suppressed because it is too large
Load Diff
@ -56,6 +56,7 @@ This document is organized as follows:
|
||||
- Section [[sec:amplifier_model]]: a very simple amplifier model consisting of a transfer function and a noise source is described.
|
||||
- Section [[sec:tf_meas]]: the transfer function from input voltage to output voltage is identified.
|
||||
- Section [[sec:noise_meas]]: the power spectral density of the amplifier's noise is measured
|
||||
- Section [[sec:output_impedance]]: the output impedance of the PD200 is estimated
|
||||
- Section [[sec:comp_pi_cedrat]]: the characteristics of the PD200 amplifier are compared to the E.505 amplifier from PI and to the LA75 from cedrat
|
||||
- Section [[sec:conclusion]]: the measured characteristics of the PD200 amplifier are compared with the requirements
|
||||
|
||||
@ -86,7 +87,7 @@ The specifications as well as the amplifier characteristics as shown in the data
|
||||
| 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] | |
|
||||
| Large Signal Bandwidth (150V, 10uF) | 300 [Hz] | > 1 [Hz] |
|
||||
|
||||
The most important characteristics are the large (small signal) bandwidth > 5 [kHz] and the small noise (< 2 [mV RMS]).
|
||||
|
||||
@ -2241,6 +2242,97 @@ exportFig('figs/asd_noise_10uF.pdf', 'width', 'wide', 'height', 'tall');
|
||||
#+RESULTS:
|
||||
[[file:figs/asd_noise_10uF.png]]
|
||||
|
||||
* Output Impedance
|
||||
<<sec:output_impedance>>
|
||||
|
||||
** Introduction :ignore:
|
||||
|
||||
The goal of this experimental setup is to estimate the output impedance $R_\text{out}$ of the PD200 voltage amplifiers.
|
||||
A DAC with a constant output voltage (here 0.1V) is connected to the input of the PD200 amplifier.
|
||||
|
||||
Then, the output voltage of the PD200 amplifier is measured in two conditions:
|
||||
- $V$ when the output is not connected to any load
|
||||
- $V_p$ when a load $R = 10\,\Omega$ is connected at the output of the amplifier
|
||||
|
||||
The load and the output impedance form a voltage divider, and thus:
|
||||
\[ V^\prime = \frac{R}{R + R_\text{out}} V \]
|
||||
|
||||
From the two values of voltage, the output impedance of the amplifier can be estimated:
|
||||
\[ R_\text{out} = R \frac{V - V^\prime}{V^\prime} \]
|
||||
|
||||
A schematic of the setup is shown in Figure [[fig:setup_output_impedance]].
|
||||
|
||||
#+name: fig:setup_output_impedance
|
||||
#+caption: Schematic of the setup use to estimate the output impedance of the PD200 amplifier
|
||||
[[file:figs/setup_output_impedance.png]]
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
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#+end_src
|
||||
|
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#+begin_src matlab :exports none :results silent :noweb yes
|
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<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :tangle no
|
||||
addpath('./matlab/mat/');
|
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#+end_src
|
||||
|
||||
#+begin_src matlab :eval no
|
||||
addpath('./mat/');
|
||||
#+end_src
|
||||
|
||||
** Results :ignore:
|
||||
|
||||
Below are defined the measured output voltages with and without the 10Ohm load:
|
||||
#+begin_src matlab
|
||||
R = 10; % Load [Ohm]
|
||||
|
||||
% V Vp
|
||||
meas = [1.988, 1.794; % PD200 - 1
|
||||
1.990, 1.789; % PD200 - 2
|
||||
1.982, 1.795; % PD200 - 3
|
||||
1.984, 1.789; % PD200 - 4
|
||||
1.998, 1.810; % PD200 - 5
|
||||
1.984, 1.799; % PD200 - 6
|
||||
2.004, 1.812] % PD200 - 7
|
||||
#+end_src
|
||||
|
||||
The output impedance of the amplifier can then be estimated using:
|
||||
\begin{equation}
|
||||
R_{\text{out}} = R_{\text{load}} \frac{V - V_p}{V}
|
||||
\end{equation}
|
||||
|
||||
#+begin_src matlab
|
||||
meas(:, 3) = R * (meas(:,1) - meas(:,2))./meas(:,2)
|
||||
#+end_src
|
||||
|
||||
The obtained output impedances are shown in Table [[tab:pd200_output_impedance]].
|
||||
|
||||
#+begin_src matlab :exports results :results value table replace :tangle no :post addhdr(*this*)
|
||||
data2orgtable(meas, {'1', '2', '3', '4', '5', '6', '7'}, {'$V\ [V]$', '$V_p\ [V]$', '$R_\text{out}\ [\Omega]$'}, ' %.3f ');
|
||||
#+end_src
|
||||
|
||||
#+name: tab:pd200_output_impedance
|
||||
#+caption: Obtained Output Impedance for the PD200 Amplifiers
|
||||
#+attr_latex: :environment tabularx :width 0.4\linewidth :align Xccc
|
||||
#+attr_latex: :center t :booktabs t :float t
|
||||
#+RESULTS:
|
||||
| PD200 | $V\ [V]$ | $V_p\ [V]$ | $R_\text{out}\ [\Omega]$ |
|
||||
|-------+----------+------------+--------------------------|
|
||||
| 1 | 1.988 | 1.794 | 1.081 |
|
||||
| 2 | 1.99 | 1.789 | 1.124 |
|
||||
| 3 | 1.982 | 1.795 | 1.042 |
|
||||
| 4 | 1.984 | 1.789 | 1.09 |
|
||||
| 5 | 1.998 | 1.81 | 1.039 |
|
||||
| 6 | 1.984 | 1.799 | 1.028 |
|
||||
| 7 | 2.004 | 1.812 | 1.06 |
|
||||
|
||||
#+begin_important
|
||||
The output impedance of the PD200 Amplifier is estimated to be $\approx 1\,\Omega$.
|
||||
#+end_important
|
||||
|
||||
* Comparison to other commercial amplifiers
|
||||
<<sec:comp_pi_cedrat>>
|
||||
** Introduction
|
||||
|
||||
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Reference in New Issue
Block a user