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<p>Antoine,</p>
<p> There is usually some difference in results. The collectors run
more efficiently when all of them are in parallel because there is
no efficiency penalty for the increasing inlet temperature to each
collector in series after the first one. If all of the inputs are
set correctly then the flow rate through any given collector in
the two scenarios (12 in parallel or 2 sets of 6 in parallel)
should be exactly the same (thus there should not be any effect of
the flow rate on the efficiency). You will, of course, get some
increase in the amount of power drawn by the pump because in the
"12 in parallel" case you have to provide a higher flow rate
(although with a lower pressure drop)</p>
<p>best,</p>
<p> David</p>
<p><br>
</p>
<br>
<div class="moz-cite-prefix">On 10/20/2016 15:09, Antoine Gautier
wrote:<br>
</div>
<blockquote cite="mid:000d01d22b0d$d91d9710$8b58c530$@solamen.fr"
type="cite">
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<p class="MsoNormal"><a moz-do-not-send="true"
name="_MailEndCompose"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext">Thanks
a lot David!<o:p></o:p></span></a></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Sorry I had you taking me by the hand like
that. <o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">I must say that my insistence pertains to the
following observation: only changing "number in series" from
6 to 1 leads to the exact same results. <o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">I find it really strange… <o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">The new system modelled should be an array of
Ntotal collectors connected in parallel and thus receiving
M/Ntotal flowrate (Nseries=1).<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Does this mean that the drop in efficiency due
to lower flowrate is exactly balanced by the raise in
efficiency due to lower average temperature (each collector
now being supplied directly with water at array inlet
temperature)?<o:p></o:p></span></p>
<div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext;mso-fareast-language:FR"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">--<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Antoine
Gautier<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Solamen<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">+33
6 58 24 02 60<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR"><a class="moz-txt-link-abbreviated" href="mailto:antoine.gautier@solamen.fr">antoine.gautier@solamen.fr</a><o:p></o:p></span></p>
</div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"><o:p> </o:p></span></p>
<div>
<div style="border:none;border-top:solid #E1E1E1
1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span
style="color:windowtext;mso-fareast-language:FR">De :</span></b><span
style="color:windowtext;mso-fareast-language:FR"> David
BRADLEY [<a class="moz-txt-link-freetext" href="mailto:d.bradley@tess-inc.com">mailto:d.bradley@tess-inc.com</a>] <br>
<b>Envoyé :</b> jeudi 20 octobre 2016 21:43<br>
<b>À :</b> Antoine Gautier
<a class="moz-txt-link-rfc2396E" href="mailto:antoine.gautier@solamen.fr"><antoine.gautier@solamen.fr></a>; 'TRNSYS users
mailing list at OneBuilding.org'
<a class="moz-txt-link-rfc2396E" href="mailto:trnsys-users@lists.onebuilding.org"><trnsys-users@lists.onebuilding.org></a><br>
<b>Objet :</b> Re: [TRNSYS-users] Type1 Number of
identical collectors in series has no effect<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<p>Antoine,<span
style="font-size:12.0pt;mso-fareast-language:FR"><o:p></o:p></span></p>
<p> That is correct so long as "A" is the area of the full array
(12 times the area of a single module) and so long as "M" is
twice the flow rate that you want to go through each
collector. Mathematically:<o:p></o:p></p>
<p>M = X * Ntotal / Nseries<o:p></o:p></p>
<p>where M is the pump flow rate, X is the flow rate per
collector, Ntotal is the total number of collectors (12), and
Nseries is the number of collectors in series per parallel
path (6).<o:p></o:p></p>
<p>best,<o:p></o:p></p>
<p> David<o:p></o:p></p>
<p><o:p> </o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal">On 10/20/2016 14:20, Antoine Gautier
wrote:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Sorry David I still have some doubts…</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Here is a schematic.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Within each row, the collectors are connected
in series. </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">The pump flowrate is M. The total array area
is A.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">I can model this with Type1 considering:</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Number in series=6</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Collector area=A</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Inlet flowrate=M</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Is this correct?</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Thanks again.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext;mso-fareast-language:FR"><img
id="Image_x0020_1"
src="cid:part2.E17F2393.202AED17@tess-inc.com"
height="347" width="557"></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"> </span><o:p></o:p></p>
<div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">--</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Antoine
Gautier</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Solamen</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">+33
6 58 24 02 60</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR"><a
moz-do-not-send="true"
href="mailto:antoine.gautier@solamen.fr">antoine.gautier@solamen.fr</a></span><o:p></o:p></p>
</div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"> </span><o:p></o:p></p>
<div>
<div style="border:none;border-top:solid #E1E1E1
1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span
style="color:windowtext;mso-fareast-language:FR">De :</span></b><span
style="color:windowtext;mso-fareast-language:FR">
David BRADLEY [<a moz-do-not-send="true"
href="mailto:d.bradley@tess-inc.com">mailto:d.bradley@tess-inc.com</a>]
<br>
<b>Envoyé :</b> jeudi 20 octobre 2016 20:44<br>
<b>À :</b> Antoine Gautier <a moz-do-not-send="true"
href="mailto:antoine.gautier@solamen.fr"><antoine.gautier@solamen.fr></a>;
'TRNSYS users mailing list at OneBuilding.org' <a
moz-do-not-send="true"
href="mailto:trnsys-users@lists.onebuilding.org"><trnsys-users@lists.onebuilding.org></a><br>
<b>Objet :</b> Re: [TRNSYS-users] Type1 Number of
identical collectors in series has no effect</span><o:p></o:p></p>
</div>
</div>
<p class="MsoNormal"> <o:p></o:p></p>
<p>Antoine,<o:p></o:p></p>
<p> I'm not 100% sure that I follow your logic but you can
model that array with a single instance of Type1. If your
single module has an area of 1m2 and wants a flow rate of
400kg/h then the full array of 50 modules (10 in parallel, 5
in series) would have:<o:p></o:p></p>
<p>area = 50 m2<o:p></o:p></p>
<p>number in series = 5<o:p></o:p></p>
<p>flow rate = 4000kg/h (400kg/h x 10 in parallel)<o:p></o:p></p>
<p>best,<o:p></o:p></p>
<p> David<o:p></o:p></p>
<p> <o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<div>
<p class="MsoNormal">On 10/20/2016 13:30, Antoine Gautier
wrote:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext">Thanks
David</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Just to be sure…</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Considering an array of 50 collectors = 10
parallel-connected rows of 5 series-connected
collectors, total inlet flowrate of array = M, total
area = A.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">I cannot model the whole array with Type1
only: I need to add an equation multiplying the flowrate
and energy rate computed by Type1 by the number of rows.
Type1 parameters and inputs being the following:</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Number in series=5</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Collector area=A/10</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Inlet flowrate=M/10</span><o:p></o:p></p>
<div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"
lang="EN-US">Right?</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">--</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Antoine
Gautier</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Solamen</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">+33
6 58 24 02 60</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR"><a
moz-do-not-send="true"
href="mailto:antoine.gautier@solamen.fr">antoine.gautier@solamen.fr</a></span><o:p></o:p></p>
</div>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext"> </span><o:p></o:p></p>
<div>
<div style="border:none;border-top:solid #E1E1E1
1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span
style="color:windowtext;mso-fareast-language:FR">De :</span></b><span
style="color:windowtext;mso-fareast-language:FR">
David BRADLEY [<a moz-do-not-send="true"
href="mailto:d.bradley@tess-inc.com">mailto:d.bradley@tess-inc.com</a>]
<br>
<b>Envoyé :</b> jeudi 20 octobre 2016 19:24<br>
<b>À :</b> Antoine Gautier <a
moz-do-not-send="true"
href="mailto:antoine.gautier@solamen.fr"><antoine.gautier@solamen.fr></a>;
TRNSYS users mailing list at OneBuilding.org <a
moz-do-not-send="true"
href="mailto:trnsys-users@lists.onebuilding.org"><trnsys-users@lists.onebuilding.org></a><br>
<b>Objet :</b> Re: [TRNSYS-users] Type1 Number of
identical collectors in series has no effect</span><o:p></o:p></p>
</div>
</div>
<p class="MsoNormal"> <o:p></o:p></p>
<p>Antoine,<o:p></o:p></p>
<p> This is a common source of confusion. Two points are
important to keep in mind. First, the collector array area
parameter is the area of the entire array, not just the
area of one module in the array. Second, if you add a
second collector you have to be careful about what you do
with the flow rate. If you are adding a second collector
in parallel to the first one you should double the
collector array area, leave the "number in series"
parameter set to 1, and double the liquid flow rate to the
array. If you are adding a second collector in series with
the first one, you should double the collector array area,
set the number in series to 2, and leave the liquid flow
rate unchanged.<o:p></o:p></p>
<p>kind regards,<o:p></o:p></p>
<p> David<o:p></o:p></p>
<p> <o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<div>
<p class="MsoNormal">On 10/20/2016 11:46, Antoine Gautier
via TRNSYS-users wrote:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif">Hi</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif"
lang="EN-US">I cannot figure out why the number of
collectors in series has no effect on the collectors
array efficiency: see attached project.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif"
lang="EN-US">Computing equations from source code
manually I would state the opposite…</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;mso-fareast-language:FR"
lang="EN-US">Thanks for your help.</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;mso-fareast-language:FR"
lang="EN-US">Best regards</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">--</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Antoine
Gautier</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">Solamen</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR">+33
6 58 24 02 60</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-size:8.0pt;font-family:"Verdana",sans-serif;color:#404040;mso-fareast-language:FR"><a
moz-do-not-send="true"
href="mailto:antoine.gautier@solamen.fr">antoine.gautier@solamen.fr</a></span><o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><br>
<br>
<br>
<br>
<br>
</span><o:p></o:p></p>
<pre>_______________________________________________<o:p></o:p></pre>
<pre>TRNSYS-users mailing list<o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="mailto:TRNSYS-users@lists.onebuilding.org">TRNSYS-users@lists.onebuilding.org</a><o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://lists.onebuilding.org/listinfo.cgi/trnsys-users-onebuilding.org">http://lists.onebuilding.org/listinfo.cgi/trnsys-users-onebuilding.org</a><o:p></o:p></pre>
</blockquote>
<p class="MsoNormal"><span style="font-size:12.0pt"><br>
<br>
<br>
<br>
</span><o:p></o:p></p>
<pre>-- <o:p></o:p></pre>
<pre>***************************<o:p></o:p></pre>
<pre>David BRADLEY<o:p></o:p></pre>
<pre>Principal<o:p></o:p></pre>
<pre>Thermal Energy Systems Specialists, LLC<o:p></o:p></pre>
<pre>22 North Carroll Street - suite 370<o:p></o:p></pre>
<pre>Madison, WI 53703 USA<o:p></o:p></pre>
<pre> <o:p></o:p></pre>
<pre>P:+1.608.274.2577<o:p></o:p></pre>
<pre>F:+1.608.278.1475<o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="mailto:d.bradley@tess-inc.com">d.bradley@tess-inc.com</a><o:p></o:p></pre>
<pre> <o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.trnsys.com">http://www.trnsys.com</a><o:p></o:p></pre>
</blockquote>
<p class="MsoNormal"><span style="font-size:12.0pt"><br>
<br>
<br>
</span><o:p></o:p></p>
<pre>-- <o:p></o:p></pre>
<pre>***************************<o:p></o:p></pre>
<pre>David BRADLEY<o:p></o:p></pre>
<pre>Principal<o:p></o:p></pre>
<pre>Thermal Energy Systems Specialists, LLC<o:p></o:p></pre>
<pre>22 North Carroll Street - suite 370<o:p></o:p></pre>
<pre>Madison, WI 53703 USA<o:p></o:p></pre>
<pre> <o:p></o:p></pre>
<pre>P:+1.608.274.2577<o:p></o:p></pre>
<pre>F:+1.608.278.1475<o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="mailto:d.bradley@tess-inc.com">d.bradley@tess-inc.com</a><o:p></o:p></pre>
<pre> <o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.trnsys.com">http://www.trnsys.com</a><o:p></o:p></pre>
</blockquote>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;mso-fareast-language:FR"><br>
<br>
<o:p></o:p></span></p>
<pre>-- <o:p></o:p></pre>
<pre>***************************<o:p></o:p></pre>
<pre>David BRADLEY<o:p></o:p></pre>
<pre>Principal<o:p></o:p></pre>
<pre>Thermal Energy Systems Specialists, LLC<o:p></o:p></pre>
<pre>22 North Carroll Street - suite 370<o:p></o:p></pre>
<pre>Madison, WI 53703 USA<o:p></o:p></pre>
<pre><o:p> </o:p></pre>
<pre>P:+1.608.274.2577<o:p></o:p></pre>
<pre>F:+1.608.278.1475<o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="mailto:d.bradley@tess-inc.com">d.bradley@tess-inc.com</a><o:p></o:p></pre>
<pre><o:p> </o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre>
<pre><a moz-do-not-send="true" href="http://www.trnsys.com">http://www.trnsys.com</a><o:p></o:p></pre>
</div>
</blockquote>
<br>
<pre class="moz-signature" cols="72">--
***************************
David BRADLEY
Principal
Thermal Energy Systems Specialists, LLC
22 North Carroll Street - suite 370
Madison, WI 53703 USA
P:+1.608.274.2577
F:+1.608.278.1475
<a class="moz-txt-link-abbreviated" href="mailto:d.bradley@tess-inc.com">d.bradley@tess-inc.com</a>
<a class="moz-txt-link-freetext" href="http://www.tess-inc.com">http://www.tess-inc.com</a>
<a class="moz-txt-link-freetext" href="http://www.trnsys.com">http://www.trnsys.com</a></pre>
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