tdehaeze/test-bench-apa300ml
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Add APA model + explain measurement procedure

Browse Source
This commit is contained in:
Thomas Dehaeze 2020-12-16 11:07:42 +01:00
parent 0a62e73978
commit 882486d8c6
5 changed files with 1161 additions and 21 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

BIN
figs/apa_model_schematic.pdf Normal file
View File

Binary file not shown.

BIN
figs/apa_model_schematic.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 30 KiB

865
figs/apa_model_schematic.svg Normal file
View File

@ -0,0 +1,865 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="87.184654mm"
height="43.560799mm"
viewBox="0 0 87.184656 43.560799"
version="1.1"
id="svg12460"
sodipodi:docname="apa_model_schematic.svg"
inkscape:version="1.0.1 (3bc2e813f5, 2020-09-07)">
<defs
id="defs12454">
<marker
style="overflow:visible"
id="DotS"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="DotS"
inkscape:isstock="true">
<path
transform="matrix(0.2,0,0,0.2,1.48,0.2)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="m -2.5,-1 c 0,2.76 -2.24,5 -5,5 -2.76,0 -5,-2.24 -5,-5 0,-2.76 2.24,-5 5,-5 2.76,0 5,2.24 5,5 z"
id="path13178" />
</marker>
<marker
style="overflow:visible"
id="DotM"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="DotM"
inkscape:isstock="true">
<path
transform="matrix(0.4,0,0,0.4,2.96,0.4)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="m -2.5,-1 c 0,2.76 -2.24,5 -5,5 -2.76,0 -5,-2.24 -5,-5 0,-2.76 2.24,-5 5,-5 2.76,0 5,2.24 5,5 z"
id="path13175" />
</marker>
<marker
style="overflow:visible"
id="marker15648"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path15646" />
</marker>
<marker
style="overflow:visible"
id="marker15246"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mstart"
inkscape:isstock="true">
<path
transform="scale(0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path15244" />
</marker>
<marker
style="overflow:visible"
id="marker15200"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true"
inkscape:collect="always">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path15198" />
</marker>
<marker
style="overflow:visible"
id="marker15140"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true"
inkscape:collect="always">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path15138" />
</marker>
<marker
style="overflow:visible"
id="Arrow2Mstart"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mstart"
inkscape:isstock="true"
inkscape:collect="always">
<path
transform="scale(0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path13135" />
</marker>
<marker
style="overflow:visible"
id="Arrow2Mend"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true"
inkscape:collect="always">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path13138" />
</marker>
<marker
style="overflow:visible"
id="Arrow2Mend-8"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path13138-1" />
</marker>
<g
id="g5428">
<symbol
overflow="visible"
id="symbol1303">
<path
style="stroke:none"
d=""
id="path1601" />
</symbol>
<symbol
overflow="visible"
id="symbol9573">
<path
style="stroke:none"
d="M 6.265625,-5.671875 C 6.75,-6.453125 7.171875,-6.484375 7.53125,-6.5 c 0.125,-0.015625 0.140625,-0.171875 0.140625,-0.1875 0,-0.078125 -0.0625,-0.125 -0.140625,-0.125 -0.25,0 -0.546875,0.03125 -0.8125,0.03125 -0.328125,0 -0.671875,-0.03125 -0.984375,-0.03125 -0.0625,0 -0.1875,0 -0.1875,0.1875 0,0.109375 0.078125,0.125 0.15625,0.125 0.265625,0.015625 0.453125,0.125 0.453125,0.328125 0,0.15625 -0.140625,0.375 -0.140625,0.375 l -3.0625,4.875 -0.6875,-5.28125 C 2.265625,-6.375 2.5,-6.5 2.953125,-6.5 c 0.140625,0 0.25,0 0.25,-0.203125 0,-0.078125 -0.078125,-0.109375 -0.125,-0.109375 -0.40625,0 -0.828125,0.03125 -1.25,0.03125 -0.171875,0 -0.359375,0 -0.546875,0 -0.171875,0 -0.359375,-0.03125 -0.53125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.1875 0,0.125 0.078125,0.125 0.25,0.125 0.546875,0 0.5625,0.09375 0.59375,0.34375 L 2.1875,-0.015625 C 2.21875,0.1875 2.265625,0.21875 2.390625,0.21875 c 0.15625,0 0.203125,-0.046875 0.28125,-0.171875 z m 0,0"
id="path9181" />
</symbol>
<symbol
overflow="visible"
id="symbol6777">
<path
style="stroke:none"
d=""
id="path4046" />
</symbol>
<symbol
overflow="visible"
id="symbol2918">
<path
style="stroke:none"
d="m 3,-2.625 c -0.171875,0.046875 -0.296875,0.1875 -0.296875,0.328125 0,0.171875 0.140625,0.234375 0.234375,0.234375 0.078125,0 0.34375,-0.046875 0.34375,-0.40625 0,-0.453125 -0.5,-0.609375 -0.9375,-0.609375 -1.078125,0 -1.28125,0.8125 -1.28125,1.015625 0,0.265625 0.15625,0.4375 0.25,0.515625 0.171875,0.140625 0.296875,0.171875 0.78125,0.25 0.15625,0.03125 0.59375,0.109375 0.59375,0.453125 0,0.125 -0.078125,0.390625 -0.359375,0.5625 C 2.046875,-0.125 1.703125,-0.125 1.625,-0.125 1.34375,-0.125 0.953125,-0.1875 0.78125,-0.421875 1.015625,-0.453125 1.171875,-0.625 1.171875,-0.8125 c 0,-0.171875 -0.125,-0.265625 -0.265625,-0.265625 -0.203125,0 -0.40625,0.171875 -0.40625,0.46875 0,0.421875 0.4375,0.671875 1.109375,0.671875 1.296875,0 1.53125,-0.875 1.53125,-1.140625 0,-0.640625 -0.703125,-0.765625 -0.96875,-0.8125 -0.0625,-0.015625 -0.234375,-0.046875 -0.28125,-0.0625 -0.25,-0.046875 -0.375,-0.1875 -0.375,-0.34375 0,-0.15625 0.125,-0.34375 0.28125,-0.453125 0.1875,-0.109375 0.421875,-0.125 0.546875,-0.125 0.140625,0 0.5,0.015625 0.65625,0.25 z m 0,0"
id="path3004" />
</symbol>
</g>
<g
id="g8838">
<symbol
overflow="visible"
id="symbol4697">
<path
style="stroke:none"
d=""
id="path6382" />
</symbol>
<symbol
overflow="visible"
id="symbol316">
<path
style="stroke:none"
d="m 5.796875,-5.0625 c 0.359375,-0.578125 0.671875,-0.75 1.09375,-0.78125 0.109375,-0.015625 0.1875,-0.015625 0.1875,-0.171875 0,-0.0625 -0.0625,-0.109375 -0.125,-0.109375 -0.03125,0 -0.25,0.03125 -0.734375,0.03125 -0.28125,0 -0.59375,-0.03125 -0.859375,-0.03125 -0.0625,0 -0.171875,0.015625 -0.171875,0.15625 0,0.109375 0.109375,0.125 0.125,0.125 0.09375,0 0.421875,0.015625 0.421875,0.28125 0,0.078125 -0.03125,0.140625 -0.0625,0.203125 C 5.625,-5.28125 5.609375,-5.25 5.578125,-5.1875 l -2.8125,4.359375 -0.671875,-4.75 c 0,-0.078125 0.0625,-0.265625 0.609375,-0.265625 0.109375,0 0.21875,0 0.21875,-0.171875 0,-0.09375 -0.09375,-0.109375 -0.140625,-0.109375 -0.15625,0 -0.34375,0.015625 -0.515625,0.015625 -0.1875,0 -0.375,0.015625 -0.578125,0.015625 -0.15625,0 -0.40625,0 -0.484375,-0.015625 -0.078125,0 -0.4375,-0.015625 -0.515625,-0.015625 -0.03125,0 -0.15625,0 -0.15625,0.15625 0,0.125 0.09375,0.125 0.203125,0.125 0.5,0 0.515625,0.078125 0.546875,0.296875 l 0.796875,5.515625 c 0.015625,0.171875 0.03125,0.234375 0.1875,0.234375 0.140625,0 0.1875,-0.078125 0.25,-0.1875 z m 0,0"
id="path9851" />
</symbol>
<symbol
overflow="visible"
id="symbol5540">
<path
style="stroke:none"
d=""
id="path6606" />
</symbol>
<symbol
overflow="visible"
id="symbol6739">
<path
style="stroke:none"
d="M 2.734375,-2.25 C 2.5625,-2.203125 2.5,-2.0625 2.5,-1.96875 c 0,0.09375 0.0625,0.203125 0.203125,0.203125 0.125,0 0.296875,-0.09375 0.296875,-0.34375 0,-0.40625 -0.453125,-0.53125 -0.84375,-0.53125 -0.921875,0 -1.140625,0.609375 -1.140625,0.859375 0,0.484375 0.546875,0.578125 0.703125,0.609375 0.453125,0.078125 0.796875,0.140625 0.796875,0.4375 0,0.125 -0.09375,0.34375 -0.3125,0.453125 -0.234375,0.125 -0.484375,0.140625 -0.671875,0.140625 -0.203125,0 -0.578125,-0.015625 -0.75,-0.21875 0.21875,-0.03125 0.3125,-0.203125 0.3125,-0.34375 0,-0.125 -0.078125,-0.21875 -0.25,-0.21875 -0.15625,0 -0.34375,0.125 -0.34375,0.40625 0,0.328125 0.328125,0.578125 1.03125,0.578125 1.125,0 1.359375,-0.703125 1.359375,-0.96875 0,-0.203125 -0.078125,-0.34375 -0.21875,-0.453125 C 2.484375,-1.53125 2.25,-1.5625 1.96875,-1.609375 1.671875,-1.671875 1.390625,-1.71875 1.390625,-1.953125 c 0,0 0,-0.484375 0.75,-0.484375 0.15625,0 0.453125,0.015625 0.59375,0.1875 z m 0,0"
id="path9686" />
</symbol>
</g>
<g
id="g9737">
<symbol
overflow="visible"
id="symbol8307">
<path
style="stroke:none"
d=""
id="path915" />
</symbol>
<symbol
overflow="visible"
id="symbol2168">
<path
style="stroke:none"
d="M 4.5625,-3.359375 C 4.578125,-3.390625 4.640625,-3.453125 4.6875,-3.5 4.9375,-3.8125 5.140625,-3.84375 5.375,-3.84375 5.453125,-3.859375 5.484375,-3.9375 5.484375,-4 5.46875,-4.015625 5.46875,-4.09375 5.390625,-4.09375 c -0.15625,0 -0.34375,0.03125 -0.515625,0.03125 -0.140625,0 -0.5,-0.03125 -0.640625,-0.03125 -0.09375,0 -0.125,0.078125 -0.125,0.15625 0,0.078125 0.078125,0.09375 0.125,0.09375 0.03125,0 0.234375,0.015625 0.234375,0.15625 0,0.078125 -0.0625,0.1875 -0.109375,0.234375 L 2.34375,-0.5625 1.734375,-3.609375 C 1.71875,-3.671875 1.71875,-3.6875 1.71875,-3.703125 c 0,-0.078125 0.125,-0.140625 0.40625,-0.140625 0.078125,0 0.15625,0 0.15625,-0.15625 0,-0.015625 0,-0.09375 -0.09375,-0.09375 -0.125,0 -0.265625,0.03125 -0.40625,0.03125 -0.125,0 -0.25,0 -0.390625,0 0,0 -0.34375,0 -0.34375,0 -0.109375,0 -0.234375,-0.03125 -0.34375,-0.03125 -0.0625,0 -0.140625,0.03125 -0.140625,0.15625 0,0.09375 0.09375,0.09375 0.171875,0.09375 0.34375,0 0.359375,0.046875 0.390625,0.171875 L 1.84375,-0.03125 C 1.859375,0.078125 1.875,0.125 2,0.125 2.125,0.125 2.15625,0.078125 2.21875,0 Z m 0,0"
id="path1471" />
</symbol>
<symbol
overflow="visible"
id="symbol8935">
<path
style="stroke:none"
d=""
id="path4927" />
</symbol>
<symbol
overflow="visible"
id="symbol1020">
<path
style="stroke:none"
d="m 2.53125,-1.890625 c -0.171875,0.0625 -0.203125,0.203125 -0.203125,0.25 0,0.125 0.109375,0.1875 0.1875,0.1875 0.0625,0 0.265625,-0.046875 0.265625,-0.3125 0,-0.328125 -0.390625,-0.4375 -0.765625,-0.4375 -0.84375,0 -1,0.515625 -1,0.6875 0,0.1875 0.09375,0.296875 0.1875,0.359375 0.140625,0.09375 0.296875,0.125 0.5625,0.171875 0.3125,0.046875 0.65625,0.09375 0.65625,0.34375 0,0.015625 0,0.53125 -0.921875,0.53125 -0.1875,0 -0.5,-0.015625 -0.65625,-0.171875 0.1875,-0.046875 0.265625,-0.1875 0.265625,-0.3125 0,-0.140625 -0.109375,-0.203125 -0.21875,-0.203125 -0.171875,0 -0.3125,0.140625 -0.3125,0.359375 0,0.5 0.765625,0.5 0.921875,0.5 1.015625,0 1.1875,-0.59375 1.1875,-0.796875 C 2.6875,-1.1875 2.140625,-1.265625 1.890625,-1.3125 1.53125,-1.375 1.28125,-1.40625 1.28125,-1.609375 c 0,-0.015625 0,-0.421875 0.71875,-0.421875 0.140625,0 0.390625,0 0.53125,0.140625 z m 0,0"
id="path1338" />
</symbol>
</g>
<g
id="g5204">
<symbol
overflow="visible"
id="symbol8507">
<path
style="stroke:none"
d=""
id="path7557" />
</symbol>
<symbol
overflow="visible"
id="symbol5202">
<path
style="stroke:none"
d="M 6.265625,-5.671875 C 6.75,-6.453125 7.171875,-6.484375 7.53125,-6.5 c 0.125,-0.015625 0.140625,-0.171875 0.140625,-0.1875 0,-0.078125 -0.0625,-0.125 -0.140625,-0.125 -0.25,0 -0.546875,0.03125 -0.8125,0.03125 -0.328125,0 -0.671875,-0.03125 -0.984375,-0.03125 -0.0625,0 -0.1875,0 -0.1875,0.1875 0,0.109375 0.078125,0.125 0.15625,0.125 0.265625,0.015625 0.453125,0.125 0.453125,0.328125 0,0.15625 -0.140625,0.375 -0.140625,0.375 l -3.0625,4.875 -0.6875,-5.28125 C 2.265625,-6.375 2.5,-6.5 2.953125,-6.5 c 0.140625,0 0.25,0 0.25,-0.203125 0,-0.078125 -0.078125,-0.109375 -0.125,-0.109375 -0.40625,0 -0.828125,0.03125 -1.25,0.03125 -0.171875,0 -0.359375,0 -0.546875,0 -0.171875,0 -0.359375,-0.03125 -0.53125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.1875 0,0.125 0.078125,0.125 0.25,0.125 0.546875,0 0.5625,0.09375 0.59375,0.34375 L 2.1875,-0.015625 C 2.21875,0.1875 2.265625,0.21875 2.390625,0.21875 c 0.15625,0 0.203125,-0.046875 0.28125,-0.171875 z m 0,0"
id="path4623" />
</symbol>
<symbol
overflow="visible"
id="symbol473">
<path
style="stroke:none"
d=""
id="path9706" />
</symbol>
<symbol
overflow="visible"
id="symbol8237">
<path
style="stroke:none"
d="m 3,-2.625 c -0.171875,0.046875 -0.296875,0.1875 -0.296875,0.328125 0,0.171875 0.140625,0.234375 0.234375,0.234375 0.078125,0 0.34375,-0.046875 0.34375,-0.40625 0,-0.453125 -0.5,-0.609375 -0.9375,-0.609375 -1.078125,0 -1.28125,0.8125 -1.28125,1.015625 0,0.265625 0.15625,0.4375 0.25,0.515625 0.171875,0.140625 0.296875,0.171875 0.78125,0.25 0.15625,0.03125 0.59375,0.109375 0.59375,0.453125 0,0.125 -0.078125,0.390625 -0.359375,0.5625 C 2.046875,-0.125 1.703125,-0.125 1.625,-0.125 1.34375,-0.125 0.953125,-0.1875 0.78125,-0.421875 1.015625,-0.453125 1.171875,-0.625 1.171875,-0.8125 c 0,-0.171875 -0.125,-0.265625 -0.265625,-0.265625 -0.203125,0 -0.40625,0.171875 -0.40625,0.46875 0,0.421875 0.4375,0.671875 1.109375,0.671875 1.296875,0 1.53125,-0.875 1.53125,-1.140625 0,-0.640625 -0.703125,-0.765625 -0.96875,-0.8125 -0.0625,-0.015625 -0.234375,-0.046875 -0.28125,-0.0625 -0.25,-0.046875 -0.375,-0.1875 -0.375,-0.34375 0,-0.15625 0.125,-0.34375 0.28125,-0.453125 0.1875,-0.109375 0.421875,-0.125 0.546875,-0.125 0.140625,0 0.5,0.015625 0.65625,0.25 z m 0,0"
id="path9913" />
</symbol>
</g>
<g
id="g8859">
<symbol
overflow="visible"
id="symbol379">
<path
style="stroke:none"
d=""
id="path3593" />
</symbol>
<symbol
overflow="visible"
id="symbol4753">
<path
style="stroke:none"
d="M 6.265625,-5.671875 C 6.75,-6.453125 7.171875,-6.484375 7.53125,-6.5 c 0.125,-0.015625 0.140625,-0.171875 0.140625,-0.1875 0,-0.078125 -0.0625,-0.125 -0.140625,-0.125 -0.25,0 -0.546875,0.03125 -0.8125,0.03125 -0.328125,0 -0.671875,-0.03125 -0.984375,-0.03125 -0.0625,0 -0.1875,0 -0.1875,0.1875 0,0.109375 0.078125,0.125 0.15625,0.125 0.265625,0.015625 0.453125,0.125 0.453125,0.328125 0,0.15625 -0.140625,0.375 -0.140625,0.375 l -3.0625,4.875 -0.6875,-5.28125 C 2.265625,-6.375 2.5,-6.5 2.953125,-6.5 c 0.140625,0 0.25,0 0.25,-0.203125 0,-0.078125 -0.078125,-0.109375 -0.125,-0.109375 -0.40625,0 -0.828125,0.03125 -1.25,0.03125 -0.171875,0 -0.359375,0 -0.546875,0 -0.171875,0 -0.359375,-0.03125 -0.53125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.1875 0,0.125 0.078125,0.125 0.25,0.125 0.546875,0 0.5625,0.09375 0.59375,0.34375 L 2.1875,-0.015625 C 2.21875,0.1875 2.265625,0.21875 2.390625,0.21875 c 0.15625,0 0.203125,-0.046875 0.28125,-0.171875 z m 0,0"
id="path314" />
</symbol>
<symbol
overflow="visible"
id="symbol5860">
<path
style="stroke:none"
d=""
id="path1166" />
</symbol>
<symbol
overflow="visible"
id="symbol4304">
<path
style="stroke:none"
d="m 2.9375,-2.65625 c -0.140625,-0.234375 -0.375,-0.421875 -0.71875,-0.421875 -0.890625,0 -1.796875,0.984375 -1.796875,1.984375 0,0.6875 0.453125,1.15625 1.0625,1.15625 0.375,0 0.703125,-0.203125 0.984375,-0.484375 C 2.59375,0 3,0.0625 3.1875,0.0625 c 0.25,0 0.421875,-0.140625 0.546875,-0.359375 0.15625,-0.28125 0.25,-0.671875 0.25,-0.703125 0,-0.09375 -0.09375,-0.09375 -0.109375,-0.09375 -0.109375,0 -0.109375,0.03125 -0.15625,0.21875 C 3.625,-0.53125 3.5,-0.125 3.203125,-0.125 3.03125,-0.125 2.96875,-0.28125 2.96875,-0.46875 c 0,-0.109375 0.0625,-0.375 0.109375,-0.546875 0.046875,-0.1875 0.125,-0.46875 0.15625,-0.625 L 3.375,-2.171875 C 3.421875,-2.359375 3.5,-2.6875 3.5,-2.71875 3.5,-2.875 3.375,-2.9375 3.265625,-2.9375 c -0.125,0 -0.28125,0.078125 -0.328125,0.28125 z M 2.5,-0.875 C 2.453125,-0.671875 2.296875,-0.53125 2.140625,-0.40625 2.078125,-0.34375 1.796875,-0.125 1.5,-0.125 c -0.265625,0 -0.515625,-0.1875 -0.515625,-0.671875 0,-0.375 0.203125,-1.140625 0.375,-1.421875 0.3125,-0.5625 0.671875,-0.65625 0.859375,-0.65625 0.484375,0 0.625,0.53125 0.625,0.609375 0,0.015625 -0.015625,0.078125 -0.015625,0.09375 z m 0,0"
id="path3919" />
</symbol>
</g>
<g
id="g8703">
<symbol
overflow="visible"
id="symbol6053">
<path
style="stroke:none"
d=""
id="path5544" />
</symbol>
<symbol
overflow="visible"
id="symbol5569">
<path
style="stroke:none"
d="m 3.015625,-3.234375 h 0.96875 c 0.75,0 0.828125,0.15625 0.828125,0.4375 0,0.078125 0,0.1875 -0.0625,0.5 C 4.71875,-2.25 4.71875,-2.21875 4.71875,-2.1875 c 0,0.078125 0.0625,0.109375 0.109375,0.109375 0.109375,0 0.109375,-0.03125 0.15625,-0.203125 L 5.53125,-4.453125 C 5.5625,-4.5625 5.5625,-4.578125 5.5625,-4.609375 5.5625,-4.625 5.546875,-4.71875 5.4375,-4.71875 5.34375,-4.71875 5.328125,-4.671875 5.296875,-4.5 5.078125,-3.734375 4.859375,-3.546875 4,-3.546875 H 3.09375 l 0.640625,-2.53125 C 3.828125,-6.4375 3.84375,-6.46875 4.28125,-6.46875 h 1.3125 c 1.21875,0 1.453125,0.328125 1.453125,1.09375 0,0.234375 0,0.265625 -0.03125,0.546875 C 7,-4.703125 7,-4.6875 7,-4.65625 c 0,0.046875 0.03125,0.125 0.125,0.125 0.109375,0 0.109375,-0.0625 0.125,-0.25 L 7.453125,-6.515625 C 7.484375,-6.78125 7.4375,-6.78125 7.1875,-6.78125 H 2.296875 c -0.1875,0 -0.296875,0 -0.296875,0.203125 0,0.109375 0.09375,0.109375 0.28125,0.109375 0.375,0 0.65625,0 0.65625,0.171875 0,0.046875 0,0.0625 -0.0625,0.25 L 1.5625,-0.78125 c -0.09375,0.390625 -0.109375,0.46875 -0.90625,0.46875 -0.171875,0 -0.28125,0 -0.28125,0.1875 C 0.375,0 0.5,0 0.53125,0 0.8125,0 1.5625,-0.03125 1.84375,-0.03125 2.171875,-0.03125 3,0 3.328125,0 3.421875,0 3.53125,0 3.53125,-0.1875 3.53125,-0.265625 3.484375,-0.296875 3.484375,-0.296875 3.453125,-0.3125 3.421875,-0.3125 3.203125,-0.3125 c -0.21875,0 -0.265625,0 -0.515625,-0.015625 -0.296875,-0.03125 -0.328125,-0.078125 -0.328125,-0.203125 0,-0.015625 0,-0.078125 0.046875,-0.21875 z m 0,0"
id="path2178" />
</symbol>
<symbol
overflow="visible"
id="symbol6391">
<path
style="stroke:none"
d=""
id="path973" />
</symbol>
<symbol
overflow="visible"
id="symbol7145">
<path
style="stroke:none"
d="m 2.9375,-2.65625 c -0.140625,-0.234375 -0.375,-0.421875 -0.71875,-0.421875 -0.890625,0 -1.796875,0.984375 -1.796875,1.984375 0,0.6875 0.453125,1.15625 1.0625,1.15625 0.375,0 0.703125,-0.203125 0.984375,-0.484375 C 2.59375,0 3,0.0625 3.1875,0.0625 c 0.25,0 0.421875,-0.140625 0.546875,-0.359375 0.15625,-0.28125 0.25,-0.671875 0.25,-0.703125 0,-0.09375 -0.09375,-0.09375 -0.109375,-0.09375 -0.109375,0 -0.109375,0.03125 -0.15625,0.21875 C 3.625,-0.53125 3.5,-0.125 3.203125,-0.125 3.03125,-0.125 2.96875,-0.28125 2.96875,-0.46875 c 0,-0.109375 0.0625,-0.375 0.109375,-0.546875 0.046875,-0.1875 0.125,-0.46875 0.15625,-0.625 L 3.375,-2.171875 C 3.421875,-2.359375 3.5,-2.6875 3.5,-2.71875 3.5,-2.875 3.375,-2.9375 3.265625,-2.9375 c -0.125,0 -0.28125,0.078125 -0.328125,0.28125 z M 2.5,-0.875 C 2.453125,-0.671875 2.296875,-0.53125 2.140625,-0.40625 2.078125,-0.34375 1.796875,-0.125 1.5,-0.125 c -0.265625,0 -0.515625,-0.1875 -0.515625,-0.671875 0,-0.375 0.203125,-1.140625 0.375,-1.421875 0.3125,-0.5625 0.671875,-0.65625 0.859375,-0.65625 0.484375,0 0.625,0.53125 0.625,0.609375 0,0.015625 -0.015625,0.078125 -0.015625,0.09375 z m 0,0"
id="path8873" />
</symbol>
</g>
<g
id="g2752">
<symbol
overflow="visible"
id="symbol7388">
<path
style="stroke:none"
d=""
id="path8492" />
</symbol>
<symbol
overflow="visible"
id="symbol1058">
<path
style="stroke:none"
d="m 5.140625,-6.8125 c 0,0 0,-0.109375 -0.125,-0.109375 -0.15625,0 -1.09375,0.09375 -1.265625,0.109375 -0.078125,0.015625 -0.140625,0.0625 -0.140625,0.1875 0,0.125 0.09375,0.125 0.234375,0.125 0.484375,0 0.5,0.0625 0.5,0.171875 L 4.3125,-6.125 3.71875,-3.765625 C 3.53125,-4.140625 3.25,-4.40625 2.796875,-4.40625 c -1.15625,0 -2.390625,1.46875 -2.390625,2.921875 0,0.9375 0.546875,1.59375 1.3125,1.59375 0.203125,0 0.703125,-0.046875 1.296875,-0.75 0.078125,0.421875 0.4375,0.75 0.90625,0.75 0.359375,0 0.578125,-0.234375 0.75,-0.546875 0.15625,-0.359375 0.296875,-0.96875 0.296875,-0.984375 0,-0.109375 -0.09375,-0.109375 -0.125,-0.109375 -0.09375,0 -0.109375,0.046875 -0.140625,0.1875 -0.171875,0.640625 -0.34375,1.234375 -0.75,1.234375 -0.28125,0 -0.296875,-0.265625 -0.296875,-0.453125 0,-0.25 0.015625,-0.3125 0.046875,-0.484375 z m -2.0625,5.625 C 3.015625,-1 3.015625,-0.984375 2.875,-0.8125 2.4375,-0.265625 2.03125,-0.109375 1.75,-0.109375 c -0.5,0 -0.640625,-0.546875 -0.640625,-0.9375 0,-0.5 0.3125,-1.71875 0.546875,-2.1875 0.3125,-0.578125 0.75,-0.953125 1.15625,-0.953125 0.640625,0 0.78125,0.8125 0.78125,0.875 0,0.0625 -0.015625,0.125 -0.03125,0.171875 z m 0,0"
id="path3941" />
</symbol>
<symbol
overflow="visible"
id="symbol4676">
<path
style="stroke:none"
d="m 2.578125,-6.8125 c 0,0 0,-0.109375 -0.140625,-0.109375 -0.21875,0 -0.953125,0.078125 -1.21875,0.109375 -0.078125,0 -0.1875,0.015625 -0.1875,0.203125 0,0.109375 0.109375,0.109375 0.25,0.109375 0.484375,0 0.5,0.09375 0.5,0.171875 L 1.75,-6.125 0.484375,-1.140625 C 0.453125,-1.03125 0.4375,-0.96875 0.4375,-0.8125 c 0,0.578125 0.4375,0.921875 0.90625,0.921875 0.328125,0 0.578125,-0.203125 0.75,-0.5625 0.171875,-0.375 0.296875,-0.953125 0.296875,-0.96875 0,-0.109375 -0.09375,-0.109375 -0.125,-0.109375 -0.09375,0 -0.109375,0.046875 -0.125,0.1875 C 1.96875,-0.703125 1.78125,-0.109375 1.375,-0.109375 c -0.296875,0 -0.296875,-0.3125 -0.296875,-0.453125 0,-0.25 0.015625,-0.296875 0.0625,-0.484375 z m 0,0"
id="path9316" />
</symbol>
</g>
<g
id="g3329">
<symbol
overflow="visible"
id="symbol8920">
<path
style="stroke:none"
d=""
id="path2563" />
</symbol>
<symbol
overflow="visible"
id="symbol3120">
<path
style="stroke:none"
d="m 5.140625,-6.8125 c 0,0 0,-0.109375 -0.125,-0.109375 -0.15625,0 -1.09375,0.09375 -1.265625,0.109375 -0.078125,0.015625 -0.140625,0.0625 -0.140625,0.1875 0,0.125 0.09375,0.125 0.234375,0.125 0.484375,0 0.5,0.0625 0.5,0.171875 L 4.3125,-6.125 3.71875,-3.765625 C 3.53125,-4.140625 3.25,-4.40625 2.796875,-4.40625 c -1.15625,0 -2.390625,1.46875 -2.390625,2.921875 0,0.9375 0.546875,1.59375 1.3125,1.59375 0.203125,0 0.703125,-0.046875 1.296875,-0.75 0.078125,0.421875 0.4375,0.75 0.90625,0.75 0.359375,0 0.578125,-0.234375 0.75,-0.546875 0.15625,-0.359375 0.296875,-0.96875 0.296875,-0.984375 0,-0.109375 -0.09375,-0.109375 -0.125,-0.109375 -0.09375,0 -0.109375,0.046875 -0.140625,0.1875 -0.171875,0.640625 -0.34375,1.234375 -0.75,1.234375 -0.28125,0 -0.296875,-0.265625 -0.296875,-0.453125 0,-0.25 0.015625,-0.3125 0.046875,-0.484375 z m -2.0625,5.625 C 3.015625,-1 3.015625,-0.984375 2.875,-0.8125 2.4375,-0.265625 2.03125,-0.109375 1.75,-0.109375 c -0.5,0 -0.640625,-0.546875 -0.640625,-0.9375 0,-0.5 0.3125,-1.71875 0.546875,-2.1875 0.3125,-0.578125 0.75,-0.953125 1.15625,-0.953125 0.640625,0 0.78125,0.8125 0.78125,0.875 0,0.0625 -0.015625,0.125 -0.03125,0.171875 z m 0,0"
id="path316" />
</symbol>
<symbol
overflow="visible"
id="symbol763">
<path
style="stroke:none"
d="m 2.859375,-6.8125 c 0,0 0,-0.109375 -0.125,-0.109375 -0.234375,0 -0.953125,0.078125 -1.21875,0.109375 -0.078125,0 -0.1875,0.015625 -0.1875,0.1875 0,0.125 0.09375,0.125 0.234375,0.125 0.484375,0 0.5,0.0625 0.5,0.171875 L 2.03125,-6.125 0.59375,-0.390625 c -0.046875,0.140625 -0.046875,0.15625 -0.046875,0.21875 0,0.234375 0.203125,0.28125 0.296875,0.28125 0.15625,0 0.3125,-0.125 0.359375,-0.265625 l 0.1875,-0.75 0.21875,-0.890625 C 1.671875,-2.03125 1.734375,-2.25 1.78125,-2.46875 1.796875,-2.53125 1.890625,-2.859375 1.890625,-2.921875 1.921875,-3.015625 2.234375,-3.5625 2.578125,-3.84375 2.796875,-4 3.09375,-4.1875 3.53125,-4.1875 c 0.421875,0 0.53125,0.34375 0.53125,0.703125 0,0.53125 -0.375,1.625 -0.609375,2.234375 C 3.375,-1.03125 3.3125,-0.90625 3.3125,-0.703125 c 0,0.46875 0.359375,0.8125 0.828125,0.8125 0.9375,0 1.296875,-1.453125 1.296875,-1.53125 0,-0.109375 -0.078125,-0.109375 -0.109375,-0.109375 -0.109375,0 -0.109375,0.03125 -0.15625,0.1875 -0.140625,0.53125 -0.46875,1.234375 -1.015625,1.234375 -0.171875,0 -0.234375,-0.09375 -0.234375,-0.328125 0,-0.25 0.078125,-0.484375 0.171875,-0.703125 0.15625,-0.4375 0.609375,-1.625 0.609375,-2.203125 0,-0.640625 -0.390625,-1.0625 -1.140625,-1.0625 -0.625,0 -1.109375,0.3125 -1.484375,0.765625 z m 0,0"
id="path9661" />
</symbol>
</g>
<g
id="g1863">
<symbol
overflow="visible"
id="symbol7724">
<path
style="stroke:none"
d=""
id="path2989" />
</symbol>
<symbol
overflow="visible"
id="symbol5179">
<path
style="stroke:none"
d="m 2.859375,-6.8125 c 0,0 0,-0.109375 -0.125,-0.109375 -0.234375,0 -0.953125,0.078125 -1.21875,0.109375 -0.078125,0 -0.1875,0.015625 -0.1875,0.1875 0,0.125 0.09375,0.125 0.234375,0.125 0.484375,0 0.5,0.0625 0.5,0.171875 L 2.03125,-6.125 0.59375,-0.390625 c -0.046875,0.140625 -0.046875,0.15625 -0.046875,0.21875 0,0.234375 0.203125,0.28125 0.296875,0.28125 0.15625,0 0.3125,-0.125 0.359375,-0.265625 l 0.1875,-0.75 0.21875,-0.890625 C 1.671875,-2.03125 1.734375,-2.25 1.78125,-2.46875 1.796875,-2.53125 1.890625,-2.859375 1.890625,-2.921875 1.921875,-3.015625 2.234375,-3.5625 2.578125,-3.84375 2.796875,-4 3.09375,-4.1875 3.53125,-4.1875 c 0.421875,0 0.53125,0.34375 0.53125,0.703125 0,0.53125 -0.375,1.625 -0.609375,2.234375 C 3.375,-1.03125 3.3125,-0.90625 3.3125,-0.703125 c 0,0.46875 0.359375,0.8125 0.828125,0.8125 0.9375,0 1.296875,-1.453125 1.296875,-1.53125 0,-0.109375 -0.078125,-0.109375 -0.109375,-0.109375 -0.109375,0 -0.109375,0.03125 -0.15625,0.1875 -0.140625,0.53125 -0.46875,1.234375 -1.015625,1.234375 -0.171875,0 -0.234375,-0.09375 -0.234375,-0.328125 0,-0.25 0.078125,-0.484375 0.171875,-0.703125 0.15625,-0.4375 0.609375,-1.625 0.609375,-2.203125 0,-0.640625 -0.390625,-1.0625 -1.140625,-1.0625 -0.625,0 -1.109375,0.3125 -1.484375,0.765625 z m 0,0"
id="path178" />
</symbol>
</g>
<g
id="g4806">
<symbol
overflow="visible"
id="symbol4859">
<path
style="stroke:none"
d=""
id="path1343" />
</symbol>
<symbol
overflow="visible"
id="symbol8925">
<path
style="stroke:none"
d="m 2.578125,-6.8125 c 0,0 0,-0.109375 -0.140625,-0.109375 -0.21875,0 -0.953125,0.078125 -1.21875,0.109375 -0.078125,0 -0.1875,0.015625 -0.1875,0.203125 0,0.109375 0.109375,0.109375 0.25,0.109375 0.484375,0 0.5,0.09375 0.5,0.171875 L 1.75,-6.125 0.484375,-1.140625 C 0.453125,-1.03125 0.4375,-0.96875 0.4375,-0.8125 c 0,0.578125 0.4375,0.921875 0.90625,0.921875 0.328125,0 0.578125,-0.203125 0.75,-0.5625 0.171875,-0.375 0.296875,-0.953125 0.296875,-0.96875 0,-0.109375 -0.09375,-0.109375 -0.125,-0.109375 -0.09375,0 -0.109375,0.046875 -0.125,0.1875 C 1.96875,-0.703125 1.78125,-0.109375 1.375,-0.109375 c -0.296875,0 -0.296875,-0.3125 -0.296875,-0.453125 0,-0.25 0.015625,-0.296875 0.0625,-0.484375 z m 0,0"
id="path6610" />
</symbol>
</g>
<marker
style="overflow:visible"
id="DotS-1"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="DotS"
inkscape:isstock="true">
<path
transform="matrix(0.2,0,0,0.2,1.48,0.2)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="m -2.5,-1 c 0,2.76 -2.24,5 -5,5 -2.76,0 -5,-2.24 -5,-5 0,-2.76 2.24,-5 5,-5 2.76,0 5,2.24 5,5 z"
id="path13178-1" />
</marker>
<marker
style="overflow:visible"
id="marker15648-0"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Mend"
inkscape:isstock="true">
<path
transform="scale(-0.6)"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
id="path15646-3" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="3.959798"
inkscape:cx="191.74953"
inkscape:cy="83.782039"
inkscape:document-units="mm"
inkscape:current-layer="layer1"
inkscape:document-rotation="0"
showgrid="false"
inkscape:snap-midpoints="true"
inkscape:window-width="2536"
inkscape:window-height="1371"
inkscape:window-x="12"
inkscape:window-y="57"
inkscape:window-maximized="1" />
<metadata
id="metadata12457">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title />
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(-72.722178,-119.76865)">
<rect
y="139.81499"
x="131.80875"
height="8.221777"
width="20.871469"
id="rect875-6-3"
style="display:inline;fill:#d95218;fill-opacity:0.651021;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000" />
<ellipse
style="display:inline;fill:#ffffff;fill-opacity:0.361354;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000"
id="circle1164-4-3-7-90"
cx="133.85052"
cy="141.62025"
rx="1.2161307"
ry="1.2232009" />
<rect
y="139.81499"
x="111.43915"
height="8.2217684"
width="20.369598"
id="rect875-5-5"
style="display:inline;fill:#d95218;fill-opacity:0.651021;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000" />
<ellipse
style="display:inline;fill:#ffffff;fill-opacity:0.361354;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000"
id="circle1164-4-3-6-11"
cx="113.40358"
cy="141.6843"
rx="1.2161307"
ry="1.2232009" />
<path
sodipodi:nodetypes="cc"
id="path1025-7"
d="m 113.34766,141.87904 c 3.45171,2.04215 18.77934,1.34483 20.44453,-0.21017"
style="font-variation-settings:normal;display:inline;opacity:1;vector-effect:none;fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.265;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;stop-color:#000000;stop-opacity:1" />
<path
id="path845-3"
style="display:inline;fill:#000000;fill-opacity:0.36;stroke:#000000;stroke-width:0.264583;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 117.24833,124.65455 v 1.61549 h -1.50436 l -29.689278,10.4706 c -0.853238,0.69224 -1.937516,2.60885 -2.079438,3.51967 v 3.66608 3.66605 c 0.141943,0.9108 1.2262,2.82639 2.079438,3.51865 l 29.689278,10.4706 h 1.50436 v 1.61547 h 4.62707 4.62608 v -1.61547 h 1.50436 l 29.68928,-10.4706 c 0.85324,-0.69226 1.93752,-2.60785 2.07942,-3.51865 v -3.66605 -3.66608 c -0.14194,-0.91082 -1.22618,-2.82743 -2.07942,-3.51967 l -29.68928,-10.4706 h -1.50436 v -1.61549 h -4.62608 z m -0.57406,4.56594 h 5.20113 5.20116 l 27.96913,9.59121 v 1.00329 h -2.36547 v 4.1114 4.11035 h 2.36547 v 1.00329 l -27.96913,9.59223 h -5.20116 -5.20113 l -27.970163,-9.59223 v -1.00329 h 2.365463 v -4.11035 -4.1114 h -2.365463 v -1.00329 z"
sodipodi:nodetypes="cccccccccccccccccccccccccccccccccccccccccccccc" />
<rect
style="display:inline;fill:#0072bd;fill-opacity:0.651021;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000"
id="rect875-67"
width="20.369598"
height="8.2217684"
x="91.069534"
y="139.81499" />
<ellipse
cy="141.66734"
cx="92.933205"
id="circle1164-4-3-73"
style="display:inline;fill:#ffffff;fill-opacity:0.361354;fill-rule:evenodd;stroke:#000000;stroke-width:0.264583;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stop-color:#000000"
rx="1.2161307"
ry="1.2232009" />
<path
style="display:inline;fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 113.34766,141.87904 c -14.347375,3.05891 -14.052339,15.78192 -40.492982,15.78192"
id="path1008-3-6"
sodipodi:nodetypes="cc" />
<path
style="display:inline;fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 92.928253,141.65988 c -10.762133,2.66709 -6.376563,7.88869 -19.992597,7.88869"
id="path1008-3-6-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-end:url(#Arrow2Mend)"
d="m 148.36661,143.92587 h 3.88331"
id="path13094-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-end:url(#Arrow2Mend-8)"
d="m 115.80969,143.92718 h -3.88331"
id="path13094-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:1.05833, 1.05833;stroke-dashoffset:0;stroke-opacity:1"
d="m 117.24834,163.19664 h 41.02012"
id="path14490" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:1.05833, 1.05833;stroke-dashoffset:0;stroke-opacity:1"
d="m 117.24834,124.65403 h 41.02012"
id="path14490-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:1.05833, 1.05833;stroke-dashoffset:0;stroke-opacity:1"
d="m 111.43915,139.81499 v -4.59304"
id="path14507" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:1.05833, 1.05833;stroke-dashoffset:0;stroke-opacity:1"
d="m 91.069534,139.81499 v -4.59304"
id="path14507-3" />
<g
inkscape:label=""
transform="matrix(0.48099286,0,0,0.48099286,-71.940788,102.98002)"
id="g14588"
style="stroke-width:2.07903">
<g
id="g5398"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g3713">
<use
xlink:href="#symbol5202"
x="300.965"
y="93.917999"
id="use3252"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g7002">
<use
xlink:href="#symbol8237"
x="306.77701"
y="95.412003"
id="use4338"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48099286,0,0,0.48099286,-71.715344,111.09639)"
id="g14686"
style="stroke-width:2.07903">
<g
id="g5153"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g8636">
<use
xlink:href="#symbol4753"
x="300.68399"
y="93.917999"
id="use697"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g5868">
<use
xlink:href="#symbol4304"
x="306.496"
y="95.412003"
id="use1875"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48099286,0,0,0.48099286,-28.699267,100.30587)"
id="g14799"
style="stroke-width:2.07903">
<g
id="g9076"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g9130">
<use
xlink:href="#symbol5569"
x="300.38699"
y="93.917999"
id="use5910"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g417">
<use
xlink:href="#symbol7145"
x="306.793"
y="95.412003"
id="use5992"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48099286,0,0,0.48099286,-33.429441,91.320837)"
id="g14924"
style="stroke-width:2.07903">
<g
id="g9851"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g9235">
<use
xlink:href="#symbol1058"
x="301.823"
y="93.917999"
id="use4180"
width="100%"
height="100%"
style="stroke-width:2.07903" />
<use
xlink:href="#symbol4676"
x="307.00854"
y="93.917999"
id="use9393"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48099286,0,0,0.48099286,6.3506372,78.028468)"
id="g15058"
style="stroke-width:2.07903">
<g
id="g8811"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g9254">
<use
xlink:href="#symbol3120"
x="300.53699"
y="93.917999"
id="use2620"
width="100%"
height="100%"
style="stroke-width:2.07903" />
<use
xlink:href="#symbol763"
x="305.72253"
y="93.917999"
id="use7380"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48099287,0,0,0.48099287,-1.461061,100.41168)"
id="g14799-6"
style="stroke-width:2.07903">
<g
id="g9076-1"
style="stroke-width:2.07903">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g9130-8">
<use
xlink:href="#symbol5569"
x="300.38699"
y="93.917999"
id="use5910-7"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.07903"
id="g417-0">
<use
xlink:href="#symbol7145"
x="306.793"
y="95.412003"
id="use5992-5"
width="100%"
height="100%"
style="stroke-width:2.07903" />
</g>
</g>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#Arrow2Mstart);marker-end:url(#marker15140)"
d="M 91.559858,137.51847 H 110.97558"
id="path15104"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#marker15246);marker-end:url(#marker15200)"
d="m 157.21012,125.03725 v 37.72998"
id="path15196"
sodipodi:nodetypes="cc" />
<g
inkscape:label=""
transform="matrix(0.48500215,0,0,0.48500215,6.5478515,83.511208)"
id="g15463"
style="stroke-width:2.06185">
<g
id="g7492"
style="stroke-width:2.06185">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.06185"
id="g15622">
<use
xlink:href="#symbol5179"
x="303.13"
y="93.917999"
id="use4575"
width="100%"
height="100%"
style="stroke-width:2.06185" />
</g>
</g>
</g>
<g
inkscape:label=""
transform="matrix(0.48500215,0,0,0.48500215,-46.729961,91.294117)"
id="g15629"
style="stroke-width:2.06185">
<g
id="g9025"
style="stroke-width:2.06185">
<g
style="fill:#000000;fill-opacity:1;stroke-width:2.06185"
id="g6106">
<use
xlink:href="#symbol8925"
x="304.41599"
y="93.917999"
id="use3138"
width="100%"
height="100%"
style="stroke-width:2.06185" />
</g>
</g>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#DotS);marker-end:url(#marker15648)"
d="m 157.20738,124.61252 v -4.44386"
id="path15644"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#DotS-1);marker-end:url(#marker15648-0)"
d="m 111.43915,137.51847 h 3.83263"
id="path15644-0"
sodipodi:nodetypes="cc" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 46 KiB

212
index.html
View File

@ -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>
<!-- 2020-12-15 mar. 23:33 -->
<!-- 2020-12-16 mer. 11:07 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Amplifier Piezoelectric Actuator APA300ML - Test Bench</title>
<meta name="generator" content="Org mode" />
@ -30,8 +30,18 @@
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org35c5c6b">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
<li><a href="#org1e8593e">2. Test-Bench Description</a></li>
<li><a href="#org1313e99">1. Model of an Amplified Piezoelectric Actuator and Sensor</a></li>
<li><a href="#org3c114e3">2. Test-Bench Description</a></li>
<li><a href="#orgeef8a7b">3. Measurement Procedure</a>
<ul>
<li><a href="#orgf5f4de4">3.1. Stroke Measurement</a></li>
<li><a href="#orgc6a7f40">3.2. Stiffness Measurement</a></li>
<li><a href="#orgf924c27">3.3. Hysteresis measurement</a></li>
<li><a href="#org8dd84d4">3.4. Piezoelectric Actuator Constant</a></li>
<li><a href="#org133086b">3.5. Piezoelectric Sensor Constant</a></li>
<li><a href="#org6d5e309">3.6. Capacitance Measurement</a></li>
</ul>
</li>
</ul>
</div>
</div>
@ -47,24 +57,48 @@ This include:
<li>Stroke</li>
<li>Stiffness</li>
<li>Hysteresis</li>
<li>Gain from \(V_a\) to \(d\) (in [m/V]), then it should be possible to compute the gain from \(V_a\) to \(F_a\) using the Simscape model</li>
<li>Gain from \(\delta L\) to \(V_s\) (in [V/m])</li>
<li>Gain from the applied voltage \(V_a\) to the generated Force \(F_a\)</li>
<li>Gain from the sensor stack strain \(\delta L\) to the generated voltage \(V_s\)</li>
</ul>
<div id="outline-container-org35c5c6b" class="outline-2">
<h2 id="org35c5c6b"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
<div id="outline-container-org1313e99" class="outline-2">
<h2 id="org1313e99"><span class="section-number-2">1</span> Model of an Amplified Piezoelectric Actuator and Sensor</h2>
<div class="outline-text-2" id="text-1">
<ul class="org-ul">
<li class="off"><code>[&#xa0;]</code> Schematic of the APA with values of displacement, voltages, forces, etc.</li>
<li class="off"><code>[&#xa0;]</code> Required things to measure</li>
</ul>
<p>
Consider a schematic of the Amplified Piezoelectric Actuator in Figure <a href="#org5dd279e">1</a>.
</p>
<p>
A voltage \(V_a\) applied to the actuator stacks will induce an actuator force \(F_a\):
</p>
\begin{equation}
F_a = g_a \cdot V_a
\end{equation}
<p>
A change of length \(dl\) of the sensor stack will induce a voltage \(V_s\):
</p>
\begin{equation}
V_s = g_s \cdot dl
\end{equation}
<p>
We wish here to experimental measure \(g_a\) and \(g_s\).
</p>
<div id="org5dd279e" class="figure">
<p><img src="figs/apa_model_schematic.png" alt="apa_model_schematic.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Amplified Piezoelectric Actuator Schematic</p>
</div>
</div>
</div>
<div id="outline-container-org1e8593e" class="outline-2">
<h2 id="org1e8593e"><span class="section-number-2">2</span> Test-Bench Description</h2>
<div id="outline-container-org3c114e3" class="outline-2">
<h2 id="org3c114e3"><span class="section-number-2">2</span> Test-Bench Description</h2>
<div class="outline-text-2" id="text-2">
<div class="note" id="org5ab97da">
<div class="note" id="org84f08a9">
<p>
Here are the documentation of the equipment used for this test bench:
</p>
@ -79,17 +113,161 @@ Here are the documentation of the equipment used for this test bench:
</div>
<div id="org2908959" class="figure">
<div id="org9ba13fa" class="figure">
<p><img src="figs/test_bench_apa_alone.png" alt="test_bench_apa_alone.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Schematic of the Test Bench</p>
<p><span class="figure-number">Figure 2: </span>Schematic of the Test Bench</p>
</div>
</div>
</div>
<div id="outline-container-orgeef8a7b" class="outline-2">
<h2 id="orgeef8a7b"><span class="section-number-2">3</span> Measurement Procedure</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-orgf5f4de4" class="outline-3">
<h3 id="orgf5f4de4"><span class="section-number-3">3.1</span> Stroke Measurement</h3>
<div class="outline-text-3" id="text-3-1">
<p>
Using the PD200 amplifier, output a voltage:
\[ V_a = 65 + 85 \sin(2\pi \cdot t) \]
To have a quasi-static excitation between -80 and 150V.
</p>
<p>
As the gain of the PD200 amplifier is 20, the DAC output voltage should be:
\[ V_{dac}(t) = 3.25 + 4.25\sin(2\pi \cdot t) \]
</p>
<p>
Verify that the voltage offset is zero!
</p>
<p>
Measure the output vertical displacement \(d\) using the interferometer.
</p>
<p>
Then, plot \(d\) as a function of \(V_a\), and perform a linear regression.
Conclude on the obtained stroke.
</p>
</div>
</div>
<div id="outline-container-orgc6a7f40" class="outline-3">
<h3 id="orgc6a7f40"><span class="section-number-3">3.2</span> Stiffness Measurement</h3>
<div class="outline-text-3" id="text-3-2">
<p>
Add some (known) weight \(\delta m g\) on the suspended mass and measure the deflection \(\delta d\).
This can be tested when the piezoelectric stacks are open-circuit.
</p>
<p>
As the stiffness will be around \(k \approx 10^6 N/m\), an added mass of \(m \approx 100g\) will induce a static deflection of \(\approx 1\mu m\) which should be large enough for a precise measurement using the interferometer.
</p>
<p>
Then the obtained stiffness is:
</p>
\begin{equation}
k = \frac{\delta m g}{\delta d}
\end{equation}
</div>
</div>
<div id="outline-container-orgf924c27" class="outline-3">
<h3 id="orgf924c27"><span class="section-number-3">3.3</span> Hysteresis measurement</h3>
<div class="outline-text-3" id="text-3-3">
<p>
Supply a quasi static sinusoidal excitation \(V_a\) at different voltages.
</p>
<p>
The offset should be 65V, and the sin amplitude can range from 1V up to 85V.
</p>
<p>
For each excitation amplitude, the vertical displacement \(d\) of the mass is measured.
</p>
<p>
Then, \(d\) is plotted as a function of \(V_a\) for all the amplitudes.
</p>
</div>
</div>
<div id="outline-container-org8dd84d4" class="outline-3">
<h3 id="org8dd84d4"><span class="section-number-3">3.4</span> Piezoelectric Actuator Constant</h3>
<div class="outline-text-3" id="text-3-4">
<p>
Using the measurement test-bench, it is rather easy the determine the static gain between the applied voltage \(V_a\) to the induced displacement \(d\).
Use a quasi static (1Hz) excitation signal \(V_a\) on the piezoelectric stack and measure the vertical displacement \(d\).
Perform a linear regression to obtain:
</p>
\begin{equation}
d = g_{d/V_a} \cdot V_a
\end{equation}
<p>
Using the Simscape model of the APA, it is possible to determine the static gain between the actuator force \(F_a\) to the induced displacement \(d\):
</p>
\begin{equation}
d = g_{d/F_a} \cdot F_a
\end{equation}
<p>
From the two gains, it is then easy to determine \(g_a\):
</p>
\begin{equation}
g_a = \frac{F_a}{V_a} = \frac{F_a}{d} \cdot \frac{d}{V_a} = \frac{g_{d/V_a}}{g_{d/F_a}}
\end{equation}
</div>
</div>
<div id="outline-container-org133086b" class="outline-3">
<h3 id="org133086b"><span class="section-number-3">3.5</span> Piezoelectric Sensor Constant</h3>
<div class="outline-text-3" id="text-3-5">
<p>
From a quasi static (1Hz) excitation of the piezoelectric stack, measure the gain from \(V_a\) to \(V_s\):
</p>
\begin{equation}
V_s = g_{V_s/V_a} V_a
\end{equation}
<p>
Using the simscape model, compute the static gain from the actuator force \(F_a\) to the strain of the sensor stack \(dl\):
</p>
\begin{equation}
dl = g_{dl/F_a} F_a
\end{equation}
<p>
Then, the static gain from the sensor stack strain \(dl\) to the general voltage \(V_s\) is:
</p>
\begin{equation}
g_s = \frac{V_s}{dl} = \frac{V_s}{V_a} \cdot \frac{V_a}{F_a} \cdot \frac{F_a}{dl} = \frac{g_{V_s/V_a}}{g_a \cdot g_{dl/F_a}}
\end{equation}
<p>
Alternatively, we could impose an external force to add strain in the APA that should be equally present in all the 3 stacks and equal to 1/5 of the vertical strain.
This external force can be some weight added, or a piezo in parallel.
</p>
</div>
</div>
<div id="outline-container-org6d5e309" class="outline-3">
<h3 id="org6d5e309"><span class="section-number-3">3.6</span> Capacitance Measurement</h3>
<div class="outline-text-3" id="text-3-6">
<p>
Measure the capacitance of the 3 stacks individually using a precise multi-meter.
</p>
</div>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-12-15 mar. 23:33</p>
<p class="date">Created: 2020-12-16 mer. 11:07</p>
</div>
</body>
</html>

105
index.org
View File

@ -48,13 +48,28 @@ This include:
- Stroke
- Stiffness
- Hysteresis
- Gain from $V_a$ to $d$ (in [m/V]), then it should be possible to compute the gain from $V_a$ to $F_a$ using the Simscape model
- Gain from $\delta L$ to $V_s$ (in [V/m])
- Gain from the applied voltage $V_a$ to the generated Force $F_a$
- Gain from the sensor stack strain $\delta L$ to the generated voltage $V_s$
* Model of an Amplified Piezoelectric Actuator and Sensor
- [ ] Schematic of the APA with values of displacement, voltages, forces, etc.
- [ ] Required things to measure
Consider a schematic of the Amplified Piezoelectric Actuator in Figure [[fig:apa_model_schematic]].
A voltage $V_a$ applied to the actuator stacks will induce an actuator force $F_a$:
\begin{equation}
F_a = g_a \cdot V_a
\end{equation}
A change of length $dl$ of the sensor stack will induce a voltage $V_s$:
\begin{equation}
V_s = g_s \cdot dl
\end{equation}
We wish here to experimental measure $g_a$ and $g_s$.
#+name: fig:apa_model_schematic
#+caption: Amplified Piezoelectric Actuator Schematic
[[file:figs/apa_model_schematic.png]]
* Test-Bench Description
@ -70,3 +85,85 @@ Here are the documentation of the equipment used for this test bench:
#+name: fig:test_bench_apa_alone
#+caption: Schematic of the Test Bench
[[file:figs/test_bench_apa_alone.png]]
* Measurement Procedure
** Stroke Measurement
Using the PD200 amplifier, output a voltage:
\[ V_a = 65 + 85 \sin(2\pi \cdot t) \]
To have a quasi-static excitation between -80 and 150V.
As the gain of the PD200 amplifier is 20, the DAC output voltage should be:
\[ V_{dac}(t) = 3.25 + 4.25\sin(2\pi \cdot t) \]
Verify that the voltage offset is zero!
Measure the output vertical displacement $d$ using the interferometer.
Then, plot $d$ as a function of $V_a$, and perform a linear regression.
Conclude on the obtained stroke.
** Stiffness Measurement
Add some (known) weight $\delta m g$ on the suspended mass and measure the deflection $\delta d$.
This can be tested when the piezoelectric stacks are open-circuit.
As the stiffness will be around $k \approx 10^6 N/m$, an added mass of $m \approx 100g$ will induce a static deflection of $\approx 1\mu m$ which should be large enough for a precise measurement using the interferometer.
Then the obtained stiffness is:
\begin{equation}
k = \frac{\delta m g}{\delta d}
\end{equation}
** Hysteresis measurement
Supply a quasi static sinusoidal excitation $V_a$ at different voltages.
The offset should be 65V, and the sin amplitude can range from 1V up to 85V.
For each excitation amplitude, the vertical displacement $d$ of the mass is measured.
Then, $d$ is plotted as a function of $V_a$ for all the amplitudes.
** Piezoelectric Actuator Constant
Using the measurement test-bench, it is rather easy the determine the static gain between the applied voltage $V_a$ to the induced displacement $d$.
Use a quasi static (1Hz) excitation signal $V_a$ on the piezoelectric stack and measure the vertical displacement $d$.
Perform a linear regression to obtain:
\begin{equation}
d = g_{d/V_a} \cdot V_a
\end{equation}
Using the Simscape model of the APA, it is possible to determine the static gain between the actuator force $F_a$ to the induced displacement $d$:
\begin{equation}
d = g_{d/F_a} \cdot F_a
\end{equation}
From the two gains, it is then easy to determine $g_a$:
\begin{equation}
g_a = \frac{F_a}{V_a} = \frac{F_a}{d} \cdot \frac{d}{V_a} = \frac{g_{d/V_a}}{g_{d/F_a}}
\end{equation}
** Piezoelectric Sensor Constant
From a quasi static (1Hz) excitation of the piezoelectric stack, measure the gain from $V_a$ to $V_s$:
\begin{equation}
V_s = g_{V_s/V_a} V_a
\end{equation}
Using the simscape model, compute the static gain from the actuator force $F_a$ to the strain of the sensor stack $dl$:
\begin{equation}
dl = g_{dl/F_a} F_a
\end{equation}
Then, the static gain from the sensor stack strain $dl$ to the general voltage $V_s$ is:
\begin{equation}
g_s = \frac{V_s}{dl} = \frac{V_s}{V_a} \cdot \frac{V_a}{F_a} \cdot \frac{F_a}{dl} = \frac{g_{V_s/V_a}}{g_a \cdot g_{dl/F_a}}
\end{equation}
Alternatively, we could impose an external force to add strain in the APA that should be equally present in all the 3 stacks and equal to 1/5 of the vertical strain.
This external force can be some weight added, or a piezo in parallel.
** Capacitance Measurement
Measure the capacitance of the 3 stacks individually using a precise multi-meter.