<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=iso-8859-1"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Verdana;
panose-1:2 11 6 4 3 5 4 4 2 4;}
@font-face
{font-family:Consolas;
panose-1:2 11 6 9 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
color:black;
mso-fareast-language:EN-US;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:#954F72;
text-decoration:underline;}
p
{mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0cm;
mso-margin-bottom-alt:auto;
margin-left:0cm;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
color:black;
mso-fareast-language:EN-US;}
pre
{mso-style-priority:99;
mso-style-link:"Préformaté HTML Car";
margin:0cm;
margin-bottom:.0001pt;
font-size:10.0pt;
font-family:"Courier New";
color:black;
mso-fareast-language:FR;}
span.PrformatHTMLCar
{mso-style-name:"Préformaté HTML Car";
mso-style-priority:99;
mso-style-link:"Préformaté HTML";
font-family:Consolas;
color:black;
mso-fareast-language:EN-US;}
span.EmailStyle20
{mso-style-type:personal;
font-family:"Verdana",sans-serif;
color:windowtext;}
span.EmailStyle21
{mso-style-type:personal;
font-family:"Verdana",sans-serif;
color:windowtext;}
span.EmailStyle22
{mso-style-type:personal;
font-family:"Verdana",sans-serif;
color:windowtext;}
span.EmailStyle23
{mso-style-type:personal-reply;
font-family:"Verdana",sans-serif;
color:windowtext;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:70.85pt 70.85pt 70.85pt 70.85pt;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body bgcolor=white lang=FR link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal><a 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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Sorry I had you taking me by the hand like that. <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>I find it really strange… <o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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'>antoine.gautier@solamen.fr<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 [mailto:d.bradley@tess-inc.com] <br><b>Envoyé :</b> jeudi 20 octobre 2016 21:43<br><b>À :</b> Antoine Gautier <antoine.gautier@solamen.fr>; 'TRNSYS users mailing list at OneBuilding.org' <trnsys-users@lists.onebuilding.org><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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Sorry David I still have some doubts…</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Here is a schematic.</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Within each row, the collectors are connected in series. </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>The pump flowrate is M. The total array area is A.</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>I can model this with Type1 considering:</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Number in series=6</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Collector area=A</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Inlet flowrate=M</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Is this correct?</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Thanks again.</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US 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;mso-fareast-language:FR'><img width=557 height=347 id="Image_x0020_1" src="cid:image001.png@01D22B1C.E9FF0A50"></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 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 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 href="mailto:antoine.gautier@solamen.fr"><antoine.gautier@solamen.fr></a>; 'TRNSYS users mailing list at OneBuilding.org' <a 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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Just to be sure…</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Number in series=5</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Collector area=A/10</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>Inlet flowrate=M/10</span><o:p></o:p></p><div><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;color:windowtext'>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 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 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 href="mailto:antoine.gautier@solamen.fr"><antoine.gautier@solamen.fr></a>; TRNSYS users mailing list at OneBuilding.org <a 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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif'>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 lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif'>Computing equations from source code manually I would state the opposite…</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif'> </span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;mso-fareast-language:FR'>Thanks for your help.</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-US style='font-size:8.0pt;font-family:"Verdana",sans-serif;mso-fareast-language:FR'>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 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 href="mailto:TRNSYS-users@lists.onebuilding.org">TRNSYS-users@lists.onebuilding.org</a><o:p></o:p></pre><pre><a 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 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 href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre><pre><a 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 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 href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre><pre><a 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 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 href="http://www.tess-inc.com">http://www.tess-inc.com</a><o:p></o:p></pre><pre><a href="http://www.trnsys.com">http://www.trnsys.com</a><o:p></o:p></pre></div></body></html>