<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">Ray,<div><br></div><div>I agree with what you have calculated, but the temp. coef. listed is for a Voc.  For voltage sag, the temp. value would be a Vmp value and I don't know how much of a difference that makes.   I have seen some manufacturers offer a temp. coefficient for Vmp as well as Voc.  Not sure what the difference would be, but if it gets down to a few volts with the PE, it is would be worth checking.  </div><div><br><div>
<span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; font-size: medium; "><div><div><div style="font-size: 12px; ">Doug Wells</div><div style="font-size: 12px; ">The Solar Specialists</div><div style="font-size: 12px; ">Morrisville, VT 05661</div><div style="font-size: 12px; ">(p) 802-223-7014</div><div style="font-size: 12px; ">(c) 802-498-5856</div><div style="font-size: 12px; "><a href="http://www.thesolarspecialists.com">www.thesolarspecialists.com</a></div></div></div></span>
</div>
<br><div><div>On Nov 29, 2011, at 5:55 PM, Ray Walters wrote:</div><br class="Apple-interchange-newline">
  
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    I'm prepping for a class on this very subject tonight, so I'll just
    wrap up everybody's good points:<br>
    V min = Vmpp x (1- temp diff x Temp coefficient)<br>
    <br>
    So first, I'd take your ambient temp from ASHRAE Extreme Annual Mean
    Maximum, then add Scott's adder (ie roof mount off 6"  = +30C) so
    let's say the ASHRAE # is 35C, then you have 30 + 35 = 65C cell temp<br>
    then, 65C - 25C(STC) = a differential of 40 deg C from standard test
    conditions<br>
    <br>
    The Aug/ Sept 2010 edition of Solar Pro shows the coefficients for
    numerous modules, <br>
    Solar world for example is -0.33 %/degC<br>
    <br>
    With a 40 degC differential then, the voltage would change by 40 x
    .33, or 13.2%<br>
    <br>
    So just assuming Vmpp =  35v, the adjustment would be 35v x
    (100%-13.2%), or 86.8% of 35v, <br>
    which gives a Volt min of 30.4 v<br>
    <br>
    Somebody please correct my math if I got that wrong.<br>
    Also probably more interesting is the actual Power coefficient,
    which shows the total power losses from higher temperatures, not
    just voltage. The calculation would be similar.<br>
    <br>
    Ray<br>
    <br>
    On 11/29/2011 2:07 PM, Darryl Thayer wrote:
    <blockquote cite="mid:1322600875.70711.YahooMailNeo@web39313.mail.mud.yahoo.com" type="cite">
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        <div><span>I am on road so I have no texts with me, but the same
            formula applies about 0.4% per degree (less voltage) or use
            the module label  voltage coefficent.  However you must use
            the MPPT voltage and the temperature = (temperature ambient
            (2% high) plus roof temperature warming)  The roof
            temperature is hard to find good values because it depends
            upon spacing between roof and module.  I add 15 deg C for
            most situations.  </span></div>
        <div><span></span> </div>
        <div><span>Best I can do from memory.</span></div>
        <div><span>DT</span></div>
        <div><br>
        </div>
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          <div style="font-family: times new roman, new york, times,
            serif; font-size: 12pt;"> <font face="Arial" size="2"> <b><span style="font-weight: bold;">From:</span></b> Kirk
              Herander <a class="moz-txt-link-rfc2396E" href="mailto:kirk@vtsolar.com"><kirk@vtsolar.com></a><br>
              <b><span style="font-weight: bold;">To:</span></b>
              RE-wrenches <a class="moz-txt-link-rfc2396E" href="mailto:re-wrenches@lists.re-wrenches.org"><re-wrenches@lists.re-wrenches.org></a> <br>
              <b><span style="font-weight: bold;">Sent:</span></b>
              Tuesday, November 29, 2011 1:48 PM<br>
              <b><span style="font-weight: bold;">Subject:</span></b>
              [RE-wrenches] calculating low string voltage<br>
            </font> <br>
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                  <div class="yiv1276106914MsoNormal">I am in debate
                    with a PE over calculation of low voltage of a
                    series string on a hot day. He insists that an
                    arbitrary high cell temp is factored in, not just
                    ambient temperature. Could someone please give an
                    accepted formula for this calculation? Thanks. I
                    cannot find a clear reference to low voltage
                    calculation on a hot day (but every reference
                    material is clear on how to calculate high voltage
                    on a cold day).</div>
                  <div class="yiv1276106914MsoNormal">  </div>
                  <div class="yiv1276106914MsoNormal">Kirk Herander</div>
                  <div class="yiv1276106914MsoNormal">VT Solar, LLC</div>
                  <div class="yiv1276106914MsoNormal">dba Vermont Solar
                    Engineering</div>
                  <div class="yiv1276106914MsoNormal">NABCEP<sup>TM </sup>Certified
                    installer Charter Member</div>
                  <div class="yiv1276106914MsoNormal">NYSERDA-eligible
                    Installer</div>
                  <div class="yiv1276106914MsoNormal">VT RE Incentive
                    Program Partner</div>
                  <div class="yiv1276106914MsoNormal">  </div>
                </div>
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            </div>
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