From 8b92419775f583bdd22f7dbb377c9bc5872e9715 Mon Sep 17 00:00:00 2001
From: Thomas Dehaeze <dehaeze.thomas@gmail.com>
Date: Tue, 10 Nov 2020 12:44:25 +0100
Subject: [PATCH] Add list of sections with description

---
 index.html | 154 +++++++++++++++++++++++++++++++----------------------
 index.org  |  18 ++++++-
 2 files changed, 107 insertions(+), 65 deletions(-)
diff --git a/index.html b/index.html
index c3608ef..d824353 100644
--- a/index.html
+++ b/index.html
@@ -3,7 +3,7 @@
 "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
 <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
 <head>
-<!-- 2020-11-10 mar. 12:34 -->
+<!-- 2020-11-10 mar. 12:44 -->
 <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
 <title>Measurement of Piezoelectric Amplifiers</title>
 <meta name="generator" content="Org mode" />
@@ -30,47 +30,48 @@
 <h2>Table of Contents</h2>
 <div id="text-table-of-contents">
 <ul>
-<li><a href="#orgbf340db">1. Effect of a change of capacitance</a>
+<li><a href="#org2595d4f">1. Effect of a change of capacitance</a>
 <ul>
-<li><a href="#org641e8fa">1.1. Cedrat Technology</a></li>
-<li><a href="#org1418126">1.2. PI</a></li>
+<li><a href="#orgd8111a6">1.1. Cedrat Technology</a></li>
+<li><a href="#org278fde7">1.2. PI</a></li>
 </ul>
 </li>
-<li><a href="#org759da67">2. Effect of a change in Voltage level</a>
+<li><a href="#org2c356cd">2. Effect of a change in Voltage level</a>
 <ul>
-<li><a href="#org6a05198">2.1. Cedrat Technology</a></li>
-<li><a href="#orga82864e">2.2. PI</a></li>
+<li><a href="#org26c0aa6">2.1. Cedrat Technology</a></li>
+<li><a href="#org99f4366">2.2. PI</a></li>
 </ul>
 </li>
-<li><a href="#orgda5e46f">3. Comparison PI / Cedrat</a>
+<li><a href="#orgaef7c1d">3. Comparison PI / Cedrat</a>
 <ul>
-<li><a href="#orgf81af9e">3.1. Results</a></li>
+<li><a href="#orgb7b222e">3.1. Results</a></li>
 </ul>
 </li>
-<li><a href="#org2ac1966">4. Impedance Measurement</a>
+<li><a href="#org7cf90b4">4. Impedance Measurement</a>
 <ul>
-<li><a href="#orgabf5b9a">4.1. Cedrat Technology</a>
+<li><a href="#org2defd83">4.1. Cedrat Technology</a>
 <ul>
-<li><a href="#org373f123">4.1.1. Compute Impedance</a></li>
-<li><a href="#orgc9002d7">4.1.2. Effect of Impedance on the phase drop</a></li>
+<li><a href="#orgf66e83a">4.1.1. Compute Impedance</a></li>
+<li><a href="#orgc7a6f64">4.1.2. Effect of Impedance on the phase drop</a></li>
 </ul>
 </li>
-<li><a href="#org3134308">4.2. PI</a></li>
+<li><a href="#orgfd9e37f">4.2. PI</a></li>
 </ul>
 </li>
-<li><a href="#org84728eb">5. New PI amplifier measurements</a>
+<li><a href="#org943c8af">5. Effect of filters configuration on the PI-E505 dynamics</a>
 <ul>
-<li><a href="#org5ca1305">5.1. PI</a></li>
-<li><a href="#org091ce77">5.2. Transfer function of the Voltage Amplifier</a></li>
-<li><a href="#org78406e1">5.3. With Load</a></li>
+<li><a href="#org86c1e48">5.1. PI</a></li>
+<li><a href="#org35acfc7">5.2. Transfer function of the Voltage Amplifier</a></li>
+<li><a href="#org1c608d2">5.3. With Load</a></li>
 </ul>
 </li>
 </ul>
 </div>
 </div>
 
+<div class="note" id="org6d2afbc">
 <p>
-Two voltage amplifiers are tested:
+The following two voltage amplifiers are tested:
 </p>
 <ul class="org-ul">
 <li>PI E-505.00 (<a href="doc/E-505-Datasheet.pdf">doc</a>)</li>
@@ -82,12 +83,28 @@ The piezoelectric actuator under test is an APA95ML from Cedrat technology (<a h
 It contains three stacks with a capacitance of \(5 \mu F\) each that can be connected independently to the amplifier.
 </p>
 
-<div id="outline-container-orgbf340db" class="outline-2">
-<h2 id="orgbf340db"><span class="section-number-2">1</span> Effect of a change of capacitance</h2>
-<div class="outline-text-2" id="text-1">
 </div>
-<div id="outline-container-org641e8fa" class="outline-3">
-<h3 id="org641e8fa"><span class="section-number-3">1.1</span> Cedrat Technology</h3>
+
+<p>
+This document is divided into the following sections:
+</p>
+<ul class="org-ul">
+<li>Section <a href="#org14b2007">1</a>: The effect of a change in load capacitance on the amplifier dynamics is studied</li>
+<li>Section <a href="#org5952ed9">2</a>: The effect on the voltage level on the amplifier dynamics is studied</li>
+<li>Section <a href="#org021167d">3</a>: The dynamics of the E-505 and LA75B are compared</li>
+<li>Section <a href="#org3a61ea0">4</a>: The output impedance of both amplifiers are measured</li>
+<li>Section <a href="#orgdc9f3a2">5</a>: The effect of the internal filters of the E-505 on its dynamics is studied</li>
+</ul>
+
+<div id="outline-container-org2595d4f" class="outline-2">
+<h2 id="org2595d4f"><span class="section-number-2">1</span> Effect of a change of capacitance</h2>
+<div class="outline-text-2" id="text-1">
+<p>
+<a id="org14b2007"></a>
+</p>
+</div>
+<div id="outline-container-orgd8111a6" class="outline-3">
+<h3 id="orgd8111a6"><span class="section-number-3">1.1</span> Cedrat Technology</h3>
 <div class="outline-text-3" id="text-1-1">
 <p>
 Load Data
@@ -126,7 +143,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 
 
-<div id="org51f0c1d" class="figure">
+<div id="org0f3ffec" class="figure">
 <p><img src="figs/change_capa_cedrat.png" alt="change_capa_cedrat.png" />
 </p>
 <p><span class="figure-number">Figure 1: </span>Effect of a change of the piezo capacitance on the Amplifier transfer function</p>
@@ -134,8 +151,8 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 </div>
 
-<div id="outline-container-org1418126" class="outline-3">
-<h3 id="org1418126"><span class="section-number-3">1.2</span> PI</h3>
+<div id="outline-container-org278fde7" class="outline-3">
+<h3 id="org278fde7"><span class="section-number-3">1.2</span> PI</h3>
 <div class="outline-text-3" id="text-1-2">
 <div class="org-src-container">
 <pre class="src src-matlab">piezo1 = load(<span class="org-string">'pi_505_high.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'V_in'</span>, <span class="org-string">'V_out'</span>);
@@ -168,7 +185,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 
 
-<div id="org94c038d" class="figure">
+<div id="org1f93710" class="figure">
 <p><img src="figs/change_capa_pi.png" alt="change_capa_pi.png" />
 </p>
 <p><span class="figure-number">Figure 2: </span>Effect of a change of the piezo capacitance on the Amplifier transfer function</p>
@@ -177,12 +194,15 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 </div>
 
-<div id="outline-container-org759da67" class="outline-2">
-<h2 id="org759da67"><span class="section-number-2">2</span> Effect of a change in Voltage level</h2>
+<div id="outline-container-org2c356cd" class="outline-2">
+<h2 id="org2c356cd"><span class="section-number-2">2</span> Effect of a change in Voltage level</h2>
 <div class="outline-text-2" id="text-2">
+<p>
+<a id="org5952ed9"></a>
+</p>
 </div>
-<div id="outline-container-org6a05198" class="outline-3">
-<h3 id="org6a05198"><span class="section-number-3">2.1</span> Cedrat Technology</h3>
+<div id="outline-container-org26c0aa6" class="outline-3">
+<h3 id="org26c0aa6"><span class="section-number-3">2.1</span> Cedrat Technology</h3>
 <div class="outline-text-3" id="text-2-1">
 <div class="org-src-container">
 <pre class="src src-matlab">hi = load(<span class="org-string">'cedrat_la75b_high_1_stack.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'V_in'</span>, <span class="org-string">'V_out'</span>);
@@ -215,7 +235,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 
 
-<div id="org413319b" class="figure">
+<div id="org6fa5b64" class="figure">
 <p><img src="figs/change_level_cedrat.png" alt="change_level_cedrat.png" />
 </p>
 <p><span class="figure-number">Figure 3: </span>Effect of a change of voltage level on the Amplifier transfer function</p>
@@ -223,8 +243,8 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 </div>
 
-<div id="outline-container-orga82864e" class="outline-3">
-<h3 id="orga82864e"><span class="section-number-3">2.2</span> PI</h3>
+<div id="outline-container-org99f4366" class="outline-3">
+<h3 id="org99f4366"><span class="section-number-3">2.2</span> PI</h3>
 <div class="outline-text-3" id="text-2-2">
 <div class="org-src-container">
 <pre class="src src-matlab">hi = load(<span class="org-string">'pi_505_high.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'V_in'</span>, <span class="org-string">'V_out'</span>);
@@ -245,7 +265,7 @@ win = hann(ceil(0.1<span class="org-type">/</span>Ts));
 </div>
 
 
-<div id="orgfdd759e" class="figure">
+<div id="org234ac05" class="figure">
 <p><img src="figs/change_level_pi.png" alt="change_level_pi.png" />
 </p>
 <p><span class="figure-number">Figure 4: </span>Effect of a change of voltage level on the Amplifier transfer function</p>
@@ -254,12 +274,15 @@ win = hann(ceil(0.1<span class="org-type">/</span>Ts));
 </div>
 </div>
 
-<div id="outline-container-orgda5e46f" class="outline-2">
-<h2 id="orgda5e46f"><span class="section-number-2">3</span> Comparison PI / Cedrat</h2>
+<div id="outline-container-orgaef7c1d" class="outline-2">
+<h2 id="orgaef7c1d"><span class="section-number-2">3</span> Comparison PI / Cedrat</h2>
 <div class="outline-text-2" id="text-3">
+<p>
+<a id="org021167d"></a>
+</p>
 </div>
-<div id="outline-container-orgf81af9e" class="outline-3">
-<h3 id="orgf81af9e"><span class="section-number-3">3.1</span> Results</h3>
+<div id="outline-container-orgb7b222e" class="outline-3">
+<h3 id="orgb7b222e"><span class="section-number-3">3.1</span> Results</h3>
 <div class="outline-text-3" id="text-3-1">
 <div class="org-src-container">
 <pre class="src src-matlab">ce_results = load(<span class="org-string">'cedrat_la75b_high_1_stack.mat'</span>, <span class="org-string">'t'</span>, <span class="org-string">'V_in'</span>, <span class="org-string">'V_out'</span>);
@@ -285,7 +308,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 
 
-<div id="orga60ef1b" class="figure">
+<div id="orgd9445f5" class="figure">
 <p><img src="figs/tf_amplifiers_comp.png" alt="tf_amplifiers_comp.png" />
 </p>
 <p><span class="figure-number">Figure 5: </span>Comparison of the two Amplifier transfer functions</p>
@@ -294,10 +317,13 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 </div>
 </div>
 
-<div id="outline-container-org2ac1966" class="outline-2">
-<h2 id="org2ac1966"><span class="section-number-2">4</span> Impedance Measurement</h2>
+<div id="outline-container-org7cf90b4" class="outline-2">
+<h2 id="org7cf90b4"><span class="section-number-2">4</span> Impedance Measurement</h2>
 <div class="outline-text-2" id="text-4">
 <p>
+<a id="org3a61ea0"></a>
+</p>
+<p>
 The goal is to experimentally measure the output impedance of the voltage amplifiers.
 </p>
 
@@ -316,13 +342,12 @@ From the two values of voltage, the internal resistor value can be computed:
 \[ R_i = R \frac{V - V^\prime}{V^\prime} \]
 </p>
 </div>
-
-<div id="outline-container-orgabf5b9a" class="outline-3">
-<h3 id="orgabf5b9a"><span class="section-number-3">4.1</span> Cedrat Technology</h3>
+<div id="outline-container-org2defd83" class="outline-3">
+<h3 id="org2defd83"><span class="section-number-3">4.1</span> Cedrat Technology</h3>
 <div class="outline-text-3" id="text-4-1">
 </div>
-<div id="outline-container-org373f123" class="outline-4">
-<h4 id="org373f123"><span class="section-number-4">4.1.1</span> Compute Impedance</h4>
+<div id="outline-container-orgf66e83a" class="outline-4">
+<h4 id="orgf66e83a"><span class="section-number-4">4.1.1</span> Compute Impedance</h4>
 <div class="outline-text-4" id="text-4-1-1">
 <div class="org-src-container">
 <pre class="src src-matlab">R = 10;    <span class="org-comment">% Resistive Load used [Ohm]</span>
@@ -359,8 +384,8 @@ Vp = 4.874; <span class="org-comment">% Output Voltage with resistice load [V]</
 </div>
 </div>
 
-<div id="outline-container-orgc9002d7" class="outline-4">
-<h4 id="orgc9002d7"><span class="section-number-4">4.1.2</span> Effect of Impedance on the phase drop</h4>
+<div id="outline-container-orgc7a6f64" class="outline-4">
+<h4 id="orgc7a6f64"><span class="section-number-4">4.1.2</span> Effect of Impedance on the phase drop</h4>
 <div class="outline-text-4" id="text-4-1-2">
 <div class="org-src-container">
 <pre class="src src-matlab">C_1 = 5e<span class="org-type">-</span>6; <span class="org-comment">% Capacitance in [F]</span>
@@ -377,7 +402,7 @@ G_3 = G0<span class="org-type">/</span>(1<span class="org-type">+</span>Ri<span
 </div>
 
 
-<div id="orgcbac798" class="figure">
+<div id="org597c459" class="figure">
 <p><img src="figs/change_capa_cedrat.png" alt="change_capa_cedrat.png" />
 </p>
 <p><span class="figure-number">Figure 6: </span>Effect of a change of the piezo capacitance on the Amplifier transfer function</p>
@@ -386,8 +411,8 @@ G_3 = G0<span class="org-type">/</span>(1<span class="org-type">+</span>Ri<span
 </div>
 </div>
 
-<div id="outline-container-org3134308" class="outline-3">
-<h3 id="org3134308"><span class="section-number-3">4.2</span> PI</h3>
+<div id="outline-container-orgfd9e37f" class="outline-3">
+<h3 id="orgfd9e37f"><span class="section-number-3">4.2</span> PI</h3>
 <div class="outline-text-3" id="text-4-2">
 <div class="org-src-container">
 <pre class="src src-matlab">R = 10;    <span class="org-comment">% Resistive Load used [Ohm]</span>
@@ -425,12 +450,15 @@ Vp = 1.637; <span class="org-comment">% Output Voltage with resistice load [V]</
 </div>
 </div>
 
-<div id="outline-container-org84728eb" class="outline-2">
-<h2 id="org84728eb"><span class="section-number-2">5</span> New PI amplifier measurements</h2>
+<div id="outline-container-org943c8af" class="outline-2">
+<h2 id="org943c8af"><span class="section-number-2">5</span> Effect of filters configuration on the PI-E505 dynamics</h2>
 <div class="outline-text-2" id="text-5">
+<p>
+<a id="orgdc9f3a2"></a>
+</p>
 </div>
-<div id="outline-container-org5ca1305" class="outline-3">
-<h3 id="org5ca1305"><span class="section-number-3">5.1</span> PI</h3>
+<div id="outline-container-org86c1e48" class="outline-3">
+<h3 id="org86c1e48"><span class="section-number-3">5.1</span> PI</h3>
 <div class="outline-text-3" id="text-5-1">
 <p>
 Three measurements are done:
@@ -466,7 +494,7 @@ win = hann(ceil(0.1<span class="org-type">/</span>Ts));
 </div>
 
 
-<div id="org431d6ed" class="figure">
+<div id="org85111b8" class="figure">
 <p><img src="figs/pi_slew_rate_notch.png" alt="pi_slew_rate_notch.png" />
 </p>
 <p><span class="figure-number">Figure 7: </span>Effect of a change in the slew rate limitation and notch filter</p>
@@ -474,8 +502,8 @@ win = hann(ceil(0.1<span class="org-type">/</span>Ts));
 </div>
 </div>
 
-<div id="outline-container-org091ce77" class="outline-3">
-<h3 id="org091ce77"><span class="section-number-3">5.2</span> Transfer function of the Voltage Amplifier</h3>
+<div id="outline-container-org35acfc7" class="outline-3">
+<h3 id="org35acfc7"><span class="section-number-3">5.2</span> Transfer function of the Voltage Amplifier</h3>
 <div class="outline-text-3" id="text-5-2">
 <p>
 The identified transfer function still seems to match the one of a notch filter at 5kHz.
@@ -489,8 +517,8 @@ G = 10.5<span class="org-type">*</span>(s<span class="org-type">^</span>2 <span
 </div>
 </div>
 
-<div id="outline-container-org78406e1" class="outline-3">
-<h3 id="org78406e1"><span class="section-number-3">5.3</span> With Load</h3>
+<div id="outline-container-org1c608d2" class="outline-3">
+<h3 id="org1c608d2"><span class="section-number-3">5.3</span> With Load</h3>
 <div class="outline-text-3" id="text-5-3">
 <div class="org-src-container">
 <pre class="src src-matlab">R = 2.78; <span class="org-comment">% Output Impedance [Ohm]</span>
@@ -505,7 +533,7 @@ G_amp = 10<span class="org-type">/</span>(1 <span class="org-type">+</span> s<sp
 </div>
 <div id="postamble" class="status">
 <p class="author">Author: Dehaeze Thomas</p>
-<p class="date">Created: 2020-11-10 mar. 12:34</p>
+<p class="date">Created: 2020-11-10 mar. 12:44</p>
 </div>
 </body>
 </html>
diff --git a/index.org b/index.org
index 45114c8..5ca5716 100644
--- a/index.org
+++ b/index.org
@@ -34,17 +34,27 @@
 
 * Introduction                                                        :ignore:
 
-Two voltage amplifiers are tested:
+#+begin_note
+The following two voltage amplifiers are tested:
 - PI E-505.00 ([[file:doc/E-505-Datasheet.pdf][doc]])
 - Cedrat Technology LA75B ([[file:doc/LA75B.pdf][doc]])
 
 The piezoelectric actuator under test is an APA95ML from Cedrat technology ([[file:doc/APA95ML.pdf][doc]]).
 It contains three stacks with a capacitance of $5 \mu F$ each that can be connected independently to the amplifier.
+#+end_note
+
+This document is divided into the following sections:
+- Section [[sec:effect_change_capacitance]]: The effect of a change in load capacitance on the amplifier dynamics is studied
+- Section [[sec:effect_change_voltage]]: The effect on the voltage level on the amplifier dynamics is studied
+- Section [[sec:comp_pi_cedrat]]: The dynamics of the E-505 and LA75B are compared
+- Section [[sec:impedance_meas]]: The output impedance of both amplifiers are measured
+- Section [[sec:pi_e505_filters]]: The effect of the internal filters of the E-505 on its dynamics is studied
 
 * Effect of a change of capacitance
 :PROPERTIES:
 :header-args:matlab+: :tangle src/effect_change_capacitance.m
 :END:
+<<sec:effect_change_capacitance>>
 ** Matlab Init                                             :noexport:ignore:
 #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
   <<matlab-dir>>
@@ -194,6 +204,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 :PROPERTIES:
 :header-args:matlab+: :tangle src/effect_change_voltage.m
 :END:
+<<sec:effect_change_voltage>>
 ** Matlab Init                                             :noexport:ignore:
 #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
   <<matlab-dir>>
@@ -330,6 +341,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 :PROPERTIES:
 :header-args:matlab+: :tangle src/comp_pi_cedrat.m
 :END:
+<<sec:comp_pi_cedrat>>
 ** Matlab Init                                             :noexport:ignore:
 #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
   <<matlab-dir>>
@@ -405,6 +417,7 @@ We remove the phase delay due to the time delay of the ADC/DAC:
 :PROPERTIES:
 :header-args:matlab+: :tangle src/impedance_meas.m
 :END:
+<<sec:impedance_meas>>
 ** Introduction                                                      :ignore:
 The goal is to experimentally measure the output impedance of the voltage amplifiers.
 
@@ -569,10 +582,11 @@ From the two values of voltage, the internal resistor value can be computed:
 #+RESULTS:
 : 2.7795
 
-* New PI amplifier measurements
+* Effect of filters configuration on the PI-E505 dynamics
 :PROPERTIES:
 :header-args:matlab+: :tangle src/pi_e505_filters.m
 :END:
+<<sec:pi_e505_filters>>
 ** Matlab Init                                             :noexport:ignore:
 #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
   <<matlab-dir>>
