Dear David,<br><div class="gmail_quote"><br>Many thanks for your patient reply!<br><br>1. Since the time step of our own weather data which includes outdoor temperature, relative humidity and global radiation etc. is 1 min., therefore, I define the simulation step is also 1 min. <br>
<div class="im">
<br><span style="color:rgb(51,51,255)">you should NOT use Type9 to interpolate solar radiation data.</span><br></div>Do you mean I should not use Type 9e to interpolate to read our own radiation data? I did (I set that option “interpolate or not” as -1) as you said, but the both (interpolate or not) simulation results seem like <b>the completely same</b>. I do not know why. <br>
<div class="im">
<br><span style="color:rgb(51,51,255)">which is a poor assumption for the way in which solar radiation behaves over an hour.</span><br></div>Do you mean the total simulation time is over an hour or the simulation step is over an hour?<br>

<br>2.Yes. I already first run a simulation with only Type 9 and Type 65. After plotting out all those values, I make sure that they should be treated correctly.<div class="im"><br><br><span style="color:rgb(51,51,255)">It can be somewhat tricky to set the "average or instantaneous value" parameter and the "interpolate or not" parameters</span><br>
</div>
Could you please tell me some tips for setting those parameters?<br><br>Since we only know total horizontal radiation, south and east radiation from our weather station, I use Type 16a with Mode = 1. Our solar radiation unit is W/m2, so I multiply 3.6 to transform into kJ/hm2.<div class="im">
<br>
<br><span style="color:rgb(51,51,255)">again, there are some parameters that can be challenging to set correctly.</span><br style="color:rgb(51,51,255)"><br></div>Yes. Could you please tell me some tips for setting them of Type 16? I only changed Latitude and Shift in solar time, others are default values.<br>

<br>Please see the attached .tpf and .bui as well as our weather data.<div class="im HOEnZb"><br>Many thanks in advance!<br><br>Br.<br>wang<br><br><br></div><div class="HOEnZb"><div class="h5"><div class="gmail_quote">2012/10/29 David BRADLEY <span dir="ltr"><<a href="mailto:d.bradley@tess-inc.com" target="_blank">d.bradley@tess-inc.com</a>></span><br>

<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
  
    
  
  <div bgcolor="#FFFFFF" text="#000000">
    Wang,<br>
     As it says in all of the"More" button comments for the Type9
    "Interpolate or not" parameter and also in the mathematical
    description of Type9, you should NOT use Type9 to interpolate solar
    radiation data. Type9 interpolates linearly, which is a poor
    assumption for the way in which solar radiation behaves over an
    hour. Furthermore, the point of Type16 (solar radiation processor)
    is to carry out an interpolation of solar radiation for timesteps
    smaller than an hour.<br>
    <br>
    I would highly recommend that you run a simulation with ONLY Type9
    and Type65. Plot out all of the values that you are reading from
    your file and make sure that they are all being treated correctly.
    It can be somewhat tricky to set the "average or instantaneous
    value" parameter and the "interpolate or not" parameters. Only after
    you have verified the data is being read in properly should you then
    adda Type16 to the project to make sure that solar radiation is
    being processed correctly; again, there are some parameters that can
    be challenging to set correctly.<br>
    Regards,<br>
     David<div><div><br>
    <br>
    <br>
    <div>On 10/29/2012 05:17, 王洋 wrote:<br>
    </div>
    <blockquote type="cite">dear all,<br>
      <br>
      I would like to ask you a question about solar radiation. I met an
      error as follows. I used Type 9e to import our own solar radiation
      data whose unit is W/m2, meantime, I also used an Equation to
      transfer its unit to kJ/hm2 (i.e. xx*3.6) and used ABS to ensure
      its value as Positive connected with Type 16a (Radiation
      processors). But it still appears the error as follows. Please
      tell me how could I solve this problem? E.g. use which Type I
      should use more easily and correctly and what are the detailed
      processes to import our own solar radiation to connect with Type
      56?<br>
      <br>
      *** Fatal Error at time   :      3820.800000<br>
          Generated by Unit     :    56<br>
          Generated by Type     :    56<br>
          Message               : Negative value of solar radiation
      for   5orientation encountered<br>
      <br>
      <br>
      Many thanks in advance!<br>
      Br.<br>
      wang<br>
      <br>
      <br>
      <div class="gmail_quote">2012/10/26 王洋 <span dir="ltr"><<a href="mailto:wanghongyang1767@gmail.com" target="_blank">wanghongyang1767@gmail.com</a>></span><br>
        <blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">dear all,<br>
          <br>
          I would like to ask you a question about solar radiation. I
          met an error as follows. I used Type 9e to import our own
          solar radiation data whose unit is W/m2, meantime, I also used
          an Equation to transfer its unit to kJ/hm2 (i.e. xx*3.6) and
          used ABS to ensure its value as Positive. But it still appears
          the error as follows. Please tell me how could I solve this
          problem? E.g. use which Type I should use more easily and what
          are the detailed processes to import our own solar radiation
          to connect with Type 56?<br>
          <br>
          *** Fatal Error at time   :      3820.800000<br>
              Generated by Unit     :    56<br>
              Generated by Type     :    56<br>
              Message               : Negative value of solar radiation
          for   5orientation encountered<br>
          <br>
          <br>
          Many thanks in advance!<br>
          Br.<br>
          wang<br>
          <br>
          <div class="gmail_quote">2012/10/26 <span dir="ltr"><<a href="mailto:trnsys-users-request@cae.wisc.edu" target="_blank">trnsys-users-request@cae.wisc.edu</a>></span><br>
            <blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">Send
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              <br>
              Today's Topics:<br>
              <br>
                 1. Max. time points of Type 14 in TRNSYS 16 (??)<br>
              <br>
              <br>
              ---------- 已转发邮件 ----------<br>
              From: 王洋 <<a href="mailto:wanghongyang1767@gmail.com" target="_blank">wanghongyang1767@gmail.com</a>><br>
              To: <a href="mailto:trnsys-users@cae.wisc.edu" target="_blank">trnsys-users@cae.wisc.edu</a><br>
              Cc: <br>
              Date: Fri, 26 Oct 2012 11:27:38 +0200<br>
              Subject: [TRNSYS-users] Max. time points of Type 14 in
              TRNSYS 16<br>
              Dear all,<br>
              <br>
              I'd like to ask you whether or not max. time points of
              Type 14 is only 20 in TRNSYS 16?<br>
              If I need more than 20 points, how could I solve this
              problem?<br>
              <br>
              Many thanks in advance!<br>
              <br>
              Br<br>
              <br>
              wang<br>
              <br>
              <div class="gmail_quote">2012/10/26 <span dir="ltr"><<a href="mailto:trnsys-users-request@cae.wisc.edu" target="_blank">trnsys-users-request@cae.wisc.edu</a>></span><br>
                <blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
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                  than "Re: Contents of TRNSYS-users digest..."<br>
                  <br>
                  Today's Topics:<br>
                  <br>
                     1. Re: Type energy balance (David BRADLEY)<br>
                     2. Re: Type energy balance (Micha?l Kummert)<br>
                  <br>
                  <br>
                  ---------- 已转发邮件 ----------<br>
                  From: David BRADLEY <<a href="mailto:d.bradley@tess-inc.com" target="_blank">d.bradley@tess-inc.com</a>><br>
                  To: PARTENAY Vincent <<a href="mailto:vincent.partenay@cstb.fr" target="_blank">vincent.partenay@cstb.fr</a>><br>
                  Cc: "<a href="mailto:trnsys-users@cae.wisc.edu" target="_blank">trnsys-users@cae.wisc.edu</a>" <<a href="mailto:trnsys-users@cae.wisc.edu" target="_blank">trnsys-users@cae.wisc.edu</a>><br>


                  Date: Thu, 25 Oct 2012 16:34:28 -0500<br>
                  Subject: Re: [TRNSYS-users] Type energy balance<br>
                  <div text="#000000" bgcolor="#FFFFFF"> Vincent,<br>
                      When you perform an energy balance on a tank, you
                    need to take into account its change in temperature
                    between the beginning and the end of the simulation
                    (output 7 of your Type4). If the tank ends up hotter
                    at the end of the simulation than it was at the
                    beginning, it has stored some energy. If it ends up
                    colder, then it has given up some energy. I would
                    imagine that with 10 nodes, there is some
                    stratification developing in the tank that is not
                    modeled when you have a fully mixed tank (1 node)<br>
                    Best,<br>
                     David<br>
                    <br>
                    <br>
                    <div>On 10/25/2012 09:40, PARTENAY Vincent wrote:<br>
                    </div>
                    <blockquote type="cite">
                      <div>
                        <p class="MsoNormal">Dear all,</p>
                        <p class="MsoNormal"> </p>
                        <p class="MsoNormal"><span lang="EN-US">Typ4a
                            (Storage tank) allows to model a stratified
                            tank with several temperature nodes. The
                            problem I noticed is that the energy balance
                            of both sides on the tank can vary depending
                            on the chosen timestep :</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">In the
                            attached file, a simplified example, the
                            tank is coupled to an energy production and
                            energy consumption model (very simple in an
                            equation). Thermal losses of the tank is set
                            to zero.</span></p>
                        <p class="MsoNormal"><span lang="EN-US">When I
                            run a simulation with one node (1m height
                            for 0.5m3) for the tank and a timestep of
                            0.1hr, I get the same energy on both side
                            (see plotter “”Power&NRJ”, Esource =
                            2659kWh and Eload = 2666kWh), slight
                            difference maybe explained by initial
                            charging period to setpoint temperature.</span></p>
                        <p class="MsoNormal"><span lang="EN-US">When I
                            run it in the same conditions but with 10
                            nodes (each 0.1m), these two energy are
                            different ! While I still have 2666kWh for
                            Eload I have 3146kWh !</span></p>
                        <p class="MsoNormal"><span lang="EN-US">When I
                            run it again reducing the timestep from
                            0.1hr to 0.001 hr, still with 10 nodes, I
                            get 2666kWh, the energy balance is ok…</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">So, my
                            question is : is it necessary to check
                            before every bigger simulation (that can
                            include lots of tank models) the energy
                            balance of this model for one defined
                            timestep and boundary conditions to the
                            model or is there some rules to predefine
                            adapted discretisation for one given
                            timestep ?</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">Kind
                            regards,</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><b><span style="font-family:"Verdana","sans-serif"">Vincent
                              PARTENAY</span></b></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Energies

                            Renouvelables - Département ESE</span><span></span></p>
                        <p class="MsoNormal"><span> </span><span style="font-size:8.0pt;font-family:"Verdana","sans-serif""></span></p>
                        <p class="MsoNormal"><b><span style="font-family:"Verdana","sans-serif";color:#0000a1">Centre
                              Scientifique et Technique du Bâtiment</span></b></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">290

                            Route des Lucioles BP 209 – F 06904 Sophia
                            Antipolis Cedex</span></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Tél

                            : <a href="tel:%2B33-%280%294-93-95-67-21" value="+33493956721" target="_blank">+33-(0)4-93-95-67-21</a></span></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Fax

                            : <a href="tel:%2B33-%280%294-93-95-64-31" value="+33493956431" target="_blank">+33-(0)4-93-95-64-31</a></span></p>
                        <p class="MsoNormal"><b><span style="font-size:8.0pt;font-family:"Verdana","sans-serif";color:#008100">Évitez

                              d’imprimer vos emails inutilement.
                              Respectez l’environnement</span></b><span></span></p>
                        <p class="MsoNormal"> </p>
                        <p class="MsoNormal"> </p>
                      </div>
                      <br>
                      <fieldset></fieldset>
                      <br>
                      <pre>_______________________________________________
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</pre>
                    </blockquote>
                    <br>
                    <pre cols="72">-- 
***************************
David BRADLEY
Principal
Thermal Energy Systems Specialists, LLC
22 North Carroll Street - suite 370
Madison, WI  53703 USA

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<a href="http://www.tess-inc.com" target="_blank">http://www.tess-inc.com</a>
<a href="http://www.trnsys.com" target="_blank">http://www.trnsys.com</a></pre>
                  </div>
                  <br>
                  <br>
                  ---------- 已转发邮件 ----------<br>
                  From: "Michaël Kummert" <<a href="mailto:michael.kummert@gmail.com" target="_blank">michael.kummert@gmail.com</a>><br>
                  To: <<a href="mailto:trnsys-users@cae.wisc.edu" target="_blank">trnsys-users@cae.wisc.edu</a>><br>
                  Cc: <br>
                  Date: Thu, 25 Oct 2012 18:19:39 -0400<br>
                  Subject: Re: [TRNSYS-users] Type energy balance<br>
                  <div bgcolor="white" link="blue" vlink="purple" lang="EN-CA">
                    <div>
                      <p class="MsoNormal"><span style="color:#1f497d">If
                          the energy (de)stored between the initial and
                          final state cannot explain the differences, I
                          think there is another possible cause: Type 4
                          can have quite large energy balance errors
                          when the nodes are “flushed out” during one
                          time step. </span></p>
                      <p class="MsoNormal"><span style="color:#1f497d"> </span></p>
                      <p class="MsoNormal"><span style="color:#1f497d">Here
                          is my understanding: </span></p>
                      <p class="MsoNormal"><span style="color:#1f497d">If
                          you have 10 nodes and a total volume of 500 L,
                          that means each node holds 50 L of water.
                          Using 0.1 h time steps you cannot have a
                          flowrate through the tank higher than 500 L/h,
                          otherwise you will replace the entire volume
                          of a node within a time step, and the
                          equations used by Type 4 are not valid
                          anymore. This would explain that it works
                          again when you reduce the timestep (with 0.001
                          h you would need a flowrate of 50000 L/h to
                          “flush” a node out).</span></p>
                      <p class="MsoNormal"><span style="color:#1f497d"> </span></p>
                      <p class="MsoNormal"><span style="color:#1f497d">To
                          my knowledge this problem is specific to Type
                          4, i.e. it does not affect the Storage tanks
                          in the TESS libraries (Type 534 etc.) – if you
                          have access to them that may be a more
                          practical solution than running 0.001 h
                          timesteps…</span></p>
                      <p class="MsoNormal"><span style="color:#1f497d"> </span></p>
                      <p class="MsoNormal"><span style="color:#1f497d">Michaël
                          Kummert</span></p>
                      <p class="MsoNormal"><span style="color:#1f497d">Polytechnique
                          Montréal</span></p>
                      <p class="MsoNormal"><span style="color:#1f497d"> </span></p>
                      <div>
                        <div style="border:none;border-top:solid #b5c4df 1.0pt;padding:3.0pt 0cm 0cm 0cm">
                          <p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext" lang="EN-US">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext" lang="EN-US"> <a href="mailto:trnsys-users-bounces@cae.wisc.edu" target="_blank">trnsys-users-bounces@cae.wisc.edu</a>
                              [mailto:<a href="mailto:trnsys-users-bounces@cae.wisc.edu" target="_blank">trnsys-users-bounces@cae.wisc.edu</a>]
                              <b>On Behalf Of </b>David BRADLEY<br>
                              <b>Sent:</b> Thursday, October 25, 2012
                              17:34<br>
                              <b>To:</b> PARTENAY Vincent<br>
                              <b>Cc:</b> <a href="mailto:trnsys-users@cae.wisc.edu" target="_blank">trnsys-users@cae.wisc.edu</a><br>
                              <b>Subject:</b> Re: [TRNSYS-users] Type
                              energy balance</span></p>
                        </div>
                      </div>
                      <p class="MsoNormal"> </p>
                      <p class="MsoNormal" style="margin-bottom:12.0pt">Vincent,<br>
                          When you perform an energy balance on a tank,
                        you need to take into account its change in
                        temperature between the beginning and the end of
                        the simulation (output 7 of your Type4). If the
                        tank ends up hotter at the end of the simulation
                        than it was at the beginning, it has stored some
                        energy. If it ends up colder, then it has given
                        up some energy. I would imagine that with 10
                        nodes, there is some stratification developing
                        in the tank that is not modeled when you have a
                        fully mixed tank (1 node)<br>
                        Best,<br>
                         David<br>
                        <br>
                      </p>
                      <div>
                        <p class="MsoNormal">On 10/25/2012 09:40,
                          PARTENAY Vincent wrote:</p>
                      </div>
                      <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
                        <p class="MsoNormal">Dear all,</p>
                        <p class="MsoNormal"> </p>
                        <p class="MsoNormal"><span lang="EN-US">Typ4a
                            (Storage tank) allows to model a stratified
                            tank with several temperature nodes. The
                            problem I noticed is that the energy balance
                            of both sides on the tank can vary depending
                            on the chosen timestep :</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">In the
                            attached file, a simplified example, the
                            tank is coupled to an energy production and
                            energy consumption model (very simple in an
                            equation). Thermal losses of the tank is set
                            to zero.</span></p>
                        <p class="MsoNormal"><span lang="EN-US">When I
                            run a simulation with one node (1m height
                            for 0.5m3) for the tank and a timestep of
                            0.1hr, I get the same energy on both side
                            (see plotter “”Power&NRJ”, Esource =
                            2659kWh and Eload = 2666kWh), slight
                            difference maybe explained by initial
                            charging period to setpoint temperature.</span></p>
                        <p class="MsoNormal"><span lang="EN-US">When I
                            run it in the same conditions but with 10
                            nodes (each 0.1m), these two energy are
                            different ! While I still have 2666kWh for
                            Eload I have 3146kWh !</span></p>
                        <p class="MsoNormal">
                          <span lang="EN-US">When I run it again
                            reducing the timestep from 0.1hr to 0.001
                            hr, still with 10 nodes, I get 2666kWh, the
                            energy balance is ok…</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">So, my
                            question is : is it necessary to check
                            before every bigger simulation (that can
                            include lots of tank models) the energy
                            balance of this model for one defined
                            timestep and boundary conditions to the
                            model or is there some rules to predefine
                            adapted discretisation for one given
                            timestep ?</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><span lang="EN-US">Kind
                            regards,</span></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span></p>
                        <p class="MsoNormal">
                          <span lang="EN-US"> </span></p>
                        <p class="MsoNormal"><b><span style="font-family:"Verdana","sans-serif"">Vincent
                              PARTENAY</span></b></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Energies
                            Renouvelables - Département ESE</span></p>
                        <p class="MsoNormal"><span style="font-size:12.0pt"> </span></p>
                        <p class="MsoNormal"><b><span style="font-family:"Verdana","sans-serif";color:#0000a1">Centre
                              Scientifique et Technique du Bâtiment</span></b></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">290
                            Route des Lucioles BP 209 – F 06904 Sophia
                            Antipolis Cedex</span></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Tél
                            : <a href="tel:%2B33-%280%294-93-95-67-21" value="+33493956721" target="_blank">+33-(0)4-93-95-67-21</a></span></p>
                        <p class="MsoNormal"><span style="font-size:8.0pt;font-family:"Verdana","sans-serif"">Fax
                            : <a href="tel:%2B33-%280%294-93-95-64-31" value="+33493956431" target="_blank">+33-(0)4-93-95-64-31</a></span></p>
                        <p class="MsoNormal"><b><span style="font-size:8.0pt;font-family:"Verdana","sans-serif";color:#008100">Évitez
                              d’imprimer vos emails inutilement.
                              Respectez l’environnement</span></b></p>
                        <p class="MsoNormal">
                           </p>
                        <p class="MsoNormal"> </p>
                        <p class="MsoNormal"><span><br>
                            <br>
                            <br>
                          </span></p>
                        <pre>_______________________________________________</pre>
                        <pre>TRNSYS-users mailing list</pre>
                        <pre><a href="mailto:TRNSYS-users@cae.wisc.edu" target="_blank">TRNSYS-users@cae.wisc.edu</a></pre>
                        <pre><a href="https://mailman.cae.wisc.edu/listinfo/trnsys-users" target="_blank">https://mailman.cae.wisc.edu/listinfo/trnsys-users</a></pre>
                      </blockquote>
                      <p class="MsoNormal"><span><br>
                          <br>
                        </span></p>
                      <pre>-- </pre>
                      <pre>***************************</pre>
                      <pre>David BRADLEY</pre>
                      <pre>Principal</pre>
                      <pre>Thermal Energy Systems Specialists, LLC</pre>
                      <pre>22 North Carroll Street - suite 370</pre>
                      <pre>Madison, WI  53703 USA</pre>
                      <pre> </pre>
                      <pre>P:<a href="tel:%2B1.608.274.2577" value="+16082742577" target="_blank">+1.608.274.2577</a></pre>
                      <pre>F:<a href="tel:%2B1.608.278.1475" value="+16082781475" target="_blank">+1.608.278.1475</a></pre>
                      <pre><a href="mailto:d.bradley@tess-inc.com" target="_blank">d.bradley@tess-inc.com</a></pre>
                      <pre> </pre>
                      <pre><a href="http://www.tess-inc.com" target="_blank">http://www.tess-inc.com</a></pre>
                      <pre><a href="http://www.trnsys.com" target="_blank">http://www.trnsys.com</a></pre>
                    </div>
                  </div>
                  <br>
                  _______________________________________________<br>
                  TRNSYS-users mailing list<br>
                  <a href="mailto:TRNSYS-users@cae.wisc.edu" target="_blank">TRNSYS-users@cae.wisc.edu</a><br>
                  <a href="https://mailman.cae.wisc.edu/listinfo/trnsys-users" target="_blank">https://mailman.cae.wisc.edu/listinfo/trnsys-users</a><br>
                  <br>
                </blockquote>
              </div>
              <br>
              <br>
              _______________________________________________<br>
              TRNSYS-users mailing list<br>
              <a href="mailto:TRNSYS-users@cae.wisc.edu" target="_blank">TRNSYS-users@cae.wisc.edu</a><br>
              <a href="https://mailman.cae.wisc.edu/listinfo/trnsys-users" target="_blank">https://mailman.cae.wisc.edu/listinfo/trnsys-users</a><br>
              <br>
            </blockquote>
          </div>
          <br>
        </blockquote>
      </div>
      <br>
      <br>
      <fieldset></fieldset>
      <br>
      <pre>_______________________________________________
TRNSYS-users mailing list
<a href="mailto:TRNSYS-users@cae.wisc.edu" target="_blank">TRNSYS-users@cae.wisc.edu</a>
<a href="https://mailman.cae.wisc.edu/listinfo/trnsys-users" target="_blank">https://mailman.cae.wisc.edu/listinfo/trnsys-users</a>
</pre>
    </blockquote>
    <br>
    <pre cols="72">-- 
***************************
David BRADLEY
Principal
Thermal Energy Systems Specialists, LLC
22 North Carroll Street - suite 370
Madison, WI  53703 USA

P:<a href="tel:%2B1.608.274.2577" value="+16082742577" target="_blank">+1.608.274.2577</a>
F:<a href="tel:%2B1.608.278.1475" value="+16082781475" target="_blank">+1.608.278.1475</a>
<a href="mailto:d.bradley@tess-inc.com" target="_blank">d.bradley@tess-inc.com</a>

<a href="http://www.tess-inc.com" target="_blank">http://www.tess-inc.com</a>
<a href="http://www.trnsys.com" target="_blank">http://www.trnsys.com</a></pre>
  </div></div></div>

</blockquote></div><br>
</div></div><br></div><br>