<div dir="ltr">I guess the better, more direct answer, from my perspective is:<div>No, I don't think this is that important compared to some of the other modeling problems out there in the world. </div></div><div class="gmail_extra"><br><div class="gmail_quote">On Tue, Jun 23, 2015 at 2:43 PM, Joe Huang <span dir="ltr"><<a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
  
    
  
  <div bgcolor="#FFFFFF" text="#000000">
    The responses so far are not what I expected and, in my view, miss
    the point. <br>
    I was not talking about workarounds or ignoring the missing day in
    DOE-2, which is what I presume everyone has been doing up until
    now.  I'm frankly tired of that, because adding the fixes to DOE-2
    seems to be quite easy to do.<br>
    <br>
    I also find the responses of "just use EnergyPlus" to be
    disingenuous and condescending.  It's like trying to fix a scratch
    on your car, and then somebody comes by and says, "oh, just go and
    buy this new better one". <br><span class="">
    <br>
    Joe<br>
    <pre cols="90">Joe Huang
White Box Technologies, Inc.
346 Rheem Blvd., Suite 205A
Moraga CA 94556
<a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a>
<a href="http://weather.whiteboxtechnologies.com" target="_blank">http://weather.whiteboxtechnologies.com</a> for simulation-ready weather data
(o) <a href="tel:%28925%29388-0265" value="+19253880265" target="_blank">(925)388-0265</a>
(c) <a href="tel:%28510%29928-2683" value="+15109282683" target="_blank">(510)928-2683</a>
"building energy simulations at your fingertips"
</pre>
    </span><div><div class="h5"><div>On 6/23/2015 1:21 PM, Justin Spencer
      wrote:<br>
    </div>
    <blockquote type="cite">
      
      <div dir="ltr">I think the cleanest is you just pretend every day
        is off by one. Ignore all of the month garbage (yes you'll be
        off by a day at times). Just think about it as days 1-365, with
        the right day of the week assigned. You can reassign your
        holidays if you want. You wind up dropping the real 12/31. 
        <div><br>
        </div>
        <div>But I like the "just use EnergyPlus" option. </div>
      </div>
      <div class="gmail_extra"><br>
        <div class="gmail_quote">On Tue, Jun 23, 2015 at 12:57 PM, Jim
          Dirkes <span dir="ltr"><<a href="mailto:jim@buildingperformanceteam.com" target="_blank">jim@buildingperformanceteam.com</a>></span>
          wrote:<br>
          <blockquote class="gmail_quote">
            <div dir="ltr">
              <div class="gmail_default">
                <ol>
                  <li>Use EnergyPlus :), which allows >365 days. 
                    This is also helpful when the combined two-fuel
                    billing cycle is 13-14 months.</li>
                  <li>Ignore the 1/365 difference.  Do you really think
                    it will matter much?</li>
                </ol>
              </div>
            </div>
            <div class="gmail_extra">
              <div>
                <div><br>
                  <div class="gmail_quote">On Tue, Jun 23, 2015 at 2:48
                    PM, Joe Huang <span dir="ltr"><<a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a>></span>
                    wrote:<br>
                    <blockquote class="gmail_quote">
                      <div> This is a little off-topic, but something
                        I've pondered for some time...<br>
                        <br>
                        The question is when people are using
                        eQUEST/DOE-2 with historical year weather, what
                        do you do when it's a leap year?  Since DOE-2<br>
                        always simulates a 365-day year,  do you just
                        ignore the missing leap day, but then don't the
                        Days of Week also get screwed up starting in
                        March?<br>
                        <br>
                        Since a quarter of the years are leap years,
                        I've never understood why accounting for them
                        has been considered an insignificant detail. <br>
                        I mean, if I told you that a quarter of the time
                        your simulation results would be a little wrong,
                        isn't that a pretty high frequency?<br>
                        <br>
                        Many eQUEST/DOE-2 users also have the mistaken
                        impression that the fault lies in the DOE-2
                        weather files, which is not true. <br>
                        Believe it or not, but the packed DOE-2 weather
                        file format actually contains 384 days (32 days
                        per month), and all the DOE-2 weather files I
                        produce always contains Feb. 29 for the leap
                        years (as well as other enhancements like
                        greater precision in the data).<br>
                        <br>
                        So, where does the problem lie?  It's in the
                        clock within DOE-2 that always sets February to
                        be 28 days.  In other words, DOE-2 will read the
                        weather file and do the simulation only through
                        February 28th, even though the weather file
                        contains data through February 32nd (:-)),
                        although everything beyond the 28th would be
                        blank on non-leap years, and beyond the 29th on
                        leap years. <br>
                        <br>
                        When I've looked through the DOE-2.1E code,
                        there are even flags setting the leap years but
                        these are never used. I've thought many times of
                        toying around with the code to see how difficult
                        it would be to implement leap years, but just
                        haven't gotten around to it.  As far as I can
                        see, the biggest difficulty might might have to
                        do not with the simulation itself, but with the
                        reporting.<br>
                        <br>
                        I'd like to know if others think this is
                        something of sufficient importance to merit
                        further investigation.<br>
                        <br>
                        Joe<br>
                        <br>
                        <pre cols="90">Joe Huang
White Box Technologies, Inc.
346 Rheem Blvd., Suite 205A
Moraga CA 94556
<a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a>
<a href="http://weather.whiteboxtechnologies.com" target="_blank">http://weather.whiteboxtechnologies.com</a> for simulation-ready weather data
(o) <a href="tel:%28925%29388-0265" value="+19253880265" target="_blank">(925)388-0265</a>
(c) <a href="tel:%28510%29928-2683" value="+15109282683" target="_blank">(510)928-2683</a>
"building energy simulations at your fingertips"
</pre>
                        <div>On 6/23/2015 10:27 AM, Collinge, William
                          Overton wrote:<br>
                        </div>
                        <blockquote type="cite">
                          <div>
                            <p class="MsoNormal"><span>All,</span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span>This is a
                                fantastic thread, and I am wondering if
                                it could be taken one step further to
                                query if anyone has experience with
                                methods to attempt calibrating models of
                                energy savings attributable to retrofits
                                of multiple systems simultaneously
                                (plant, envelope, HVAC etc. – as most
                                real-world retrofits likely are), going
                                past the 4- or 5-parameter breakpoint
                                regression models to incorporate inverse
                                modeling of specific load types and
                                their space- or time-variable
                                characteristics. This would fit under
                                multivariate methods in the last line of
                                Table 2 in the older version of ASHRAE
                                Guideline 14 that Jeff Haberl has posted
                                on his website, and would attempt to
                                standardize Maria’s Step 5 below without
                                (possibly) the need to conduct as much
                                in-depth field verification as might
                                otherwise be required. I’ve dabbled in
                                this a little bit…without extensive
                                discussions with others…</span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span>Example: changing
                                the OA ventilation rate is going to have
                                a specific load profile versus some
                                retrofit that affects the solar gain
                                rate. Of course, much easier in theory
                                to do calibrations of this sort with
                                hourly meter data versus monthly utility
                                bills…</span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span>Bill Collinge</span></p>
                            <p class="MsoNormal"><span>Postdoctoral
                                Scholar</span></p>
                            <p class="MsoNormal"><span>University of
                                Pittsburgh</span></p>
                            <p class="MsoNormal"><span>Department of
                                Civil and Environmental Engineering</span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <div>
                              <div>
                                <p class="MsoNormal"><b><span>From:</span></b><span>
                                    Bldg-sim [<a href="mailto:bldg-sim-bounces@lists.onebuilding.org" target="_blank">mailto:bldg-sim-bounces@lists.onebuilding.org</a>]
                                    <b>On Behalf Of </b>Maria Karpman<br>
                                    <b>Sent:</b> Tuesday, June 23, 2015
                                    12:02 PM<br>
                                    <b>To:</b> 'Jeff Haberl'; 'Joe
                                    Huang'; <a href="mailto:bldg-sim@lists.onebuilding.org" target="_blank">bldg-sim@lists.onebuilding.org</a><br>
                                    <b>Subject:</b> Re: [Bldg-sim]
                                    Energy model calibration -
                                    normalizing the utility bills to
                                    month start-end</span></p>
                              </div>
                            </div>
                            <p class="MsoNormal"> </p>
                            <p class="MsoNormal"><span>Hello all,</span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <p class="MsoNormal"><span>We usually do the
                                following to calibrate model to monthly
                                utility bills:</span></p>
                            <p><span><span>1)<span>      </span></span></span><span>Create

                                or purchase weather file corresponding
                                to pre-retrofit period for which we have
                                billing data. Lately we’ve been using
                                WeatherAnalytics files, which we found
                                to be more cost effective than creating
                                our own (they charge $40 for an annual
                                file).</span></p>
                            <p><span><span>2)<span>      </span></span></span><span>Run

                                simulation using this weather file
                                instead of TMY.</span></p>
                            <p><span><span>3)<span>      </span></span></span><span>Standard

                                simulation reports (we typically use
                                eQUEST) show usage by calendar month
                                (e.g. January, February, etc.) which is
                                usually not aligned with dates of
                                utility bills, as noted in the question
                                that started this thread. As Brian
                                mentioned in one of the earlier posts,
                                this may be circumvented by entering the
                                actual meter read dates into eQUEST as
                                shown in the screenshot below. This will
                                align usages shown in eQUEST’s “E*”
                                reports such as ES-E with the actual
                                utility bills.  The approach does not
                                allow entering more than one read date
                                per month (e.g. we can’t capture April 3
                                – 28 bill). For projects where this
                                limitation is an issue we generate
                                hourly reports that show consumption by
                                end use for each meter in the project,
                                and aggregate it into periods that are
                                aligned with utility bills. </span></p>
                            <p><span><img src="cid:part9.04070200.04050103@whiteboxtechnologies.com" height="330" width="444"></span></p>
                            <p><span>  </span></p>
                            <p><span><span>4)<span>      </span></span></span><span>We

                                then copy simulation outputs (either
                                from ES-E or hourly reports, depending
                                on the method used) into a standard
                                spreadsheet with utility data. The
                                spreadsheet is set up to plot side by
                                side monthly utility bills and simulated
                                usage, and also calculates normalized
                                mean bias error (NMBE) and variance
                                CV(RMSE).   </span></p>
                            <p><span><span>5)<span>      </span></span></span><span>If

                                we did not to where we want to be with
                                NMBE and CV(RMSE) we adjust and re-run
                                the model, and re-paste results into the
                                same spreadsheet. </span></p>
                            <p class="MsoNormal"><span> </span></p>
                            <div>
                              <p class="MsoNormal"><span>In my
                                  experience regression analysis using
                                  weather as independent variable (i.e.
                                  running model with TMY file and
                                  normalizing for difference in weather)
                                  or relying on HDD to allocate usage to
                                  billing periods can be very
                                  misleading, mainly because on many
                                  projects weather is not the main
                                  driver of consumption. For example
                                  energy usage of a school during a
                                  given time period depends much more on
                                  vacation schedule than outdoor dry
                                  bulb temperatures.  </span></p>
                              <p class="MsoNormal"><span> </span></p>
                              <p class="MsoNormal"><span>Thanks,</span></p>
                              <p class="MsoNormal"><span> </span></p>
                              <p class="MsoNormal"><span>-- </span></p>
                              <p class="MsoNormal"><b><span>Maria
                                    Karpman </span></b><span>LEED AP,
                                  BEMP, CEM</span><span></span></p>
                              <p class="MsoNormal"><span>________________</span><span></span></p>
                              <p class="MsoNormal"><span>Karpman
                                  Consulting</span></p>
                              <p class="MsoNormal"><span><a href="http://www.karpmanconsulting.net/" target="_blank">www.karpmanconsulting.net</a>
                                </span><span></span></p>
                              <p class="MsoNormal"><span>Phone </span><span><a href="tel:860.430.1909" value="+18604301909" target="_blank">860.430.1909</a> </span><span></span></p>
                              <p class="MsoNormal"><span>41C New London
                                  Turnpike</span><span></span></p>
                              <p class="MsoNormal"><span>Glastonbury, CT
                                  06033</span><span></span></p>
                            </div>
                            <p class="MsoNormal"><span> </span></p>
                            <div>
                              <div>
                                <p class="MsoNormal"><b><span>From:</span></b><span>
                                    Bldg-sim [<a href="mailto:bldg-sim-bounces@lists.onebuilding.org" target="_blank">mailto:bldg-sim-bounces@lists.onebuilding.org</a>]
                                    <b>On Behalf Of </b>Jeff Haberl<br>
                                    <b>Sent:</b> Tuesday, June 23, 2015
                                    10:16 AM<br>
                                    <b>To:</b> Joe Huang; <a href="mailto:bldg-sim@lists.onebuilding.org" target="_blank">bldg-sim@lists.onebuilding.org</a><br>
                                    <b>Subject:</b> Re: [Bldg-sim]
                                    Energy model calibration -
                                    normalizing the utility bills to
                                    month start-end</span></p>
                              </div>
                            </div>
                            <p class="MsoNormal"> </p>
                            <div>
                              <p><span>Hello Joe,</span></p>
                              <p><span> </span></p>
                              <p><span>Yes, you can count the degree
                                  days and regress against that to show
                                  a correlation. However, one will get a
                                  better "fit" to the weather data if
                                  you regress to the degree day that is
                                  calculated for the balance point
                                  temperature of the building -- hence
                                  the inverse model toolkit or the
                                  variable based degree day method.</span></p>
                              <p><span> </span></p>
                              <p><span>PRISM actually calculates the
                                  degree days to a variety of change
                                  points and actually provides a table
                                  for each location that you use as a
                                  look up. The IMT will actually perform
                                  a variable based degree day
                                  calculation that agrees well with
                                  PRISM. IMT will also provide you with
                                  the average daily temperature for the
                                  billing period.</span></p>
                              <p><span> </span></p>
                              <p><span>When using DOE-2 for actual
                                  billing periods, one will have to
                                  extract the appropriate hourly
                                  variable, sum it to daily and then
                                  regroup to align with the billing
                                  periods. Here's a chunk of code that
                                  will create a dummy plant, display
                                  PV-A, PS-A, PS-E and BEPS, and extract
                                  the relevant hourly variables to
                                  normalize the BEPS to the utility
                                  bills:</span></p>
                              <p><span> </span></p>
                              <p><span>INPUT PLANT ..</span></p>
                              <p><span> </span></p>
                              <p><span>PLANT-REPORT VERIFICATION =
                                  (PV-A)</span></p>
                              <p><span>$ PV-A, EQUIPMENT SIZES</span></p>
                              <p><span> </span></p>
                              <p><span>SUMMARY = (PS-A,PS-E,BEPS)</span></p>
                              <p><span> </span></p>
                              <p><span>$ PS-A, PLANT ENERGY UTILIZATION
                                  SUMMARY</span></p>
                              <p><span>$ PS-E, MONTHLY ENERGY END USE
                                  SUMMARY</span></p>
                              <p><span>$ BEPS, BUILDING ENERGY
                                  PERFORMANCE SUMMARY</span></p>
                              <p><span> </span></p>
                              <p><span>HVAC=PLANT-ASSIGNMENT ..</span></p>
                              <p><span> </span></p>
                              <p><span>$ EQUIPMENT DESCRIPTION</span></p>
                              <p><span>$ ELECTRIC DOMESTIC WATER HEATER</span></p>
                              <p><span> </span></p>
                              <p><span>BOIL-1 =PLANT-EQUIPMENT
                                  TYPE=ELEC-DHW-HEATER SIZE=-999 ..</span></p>
                              <p><span> </span></p>
                              <p><span>$ ELECTRIC HOT-WATER BOILER</span></p>
                              <p><span> </span></p>
                              <p><span>BOIL-2 =PLANT-EQUIPMENT
                                  TYPE=ELEC-HW-BOILER SIZE=-999 ..</span></p>
                              <p><span> </span></p>
                              <p><span>$ HERMETICALLY SEALED CENT
                                  CHILLER</span></p>
                              <p><span> </span></p>
                              <p><span>CHIL-1 =PLANT-EQUIPMENT
                                  TYPE=HERM-CENT-CHLR SIZE=-999 ..</span></p>
                              <p><span> </span></p>
                              <p><span>$ Graphics block for Data
                                  Processing ***</span></p>
                              <p><span> </span></p>
                              <p><span>RP-3 = SCHEDULE THRU DEC 31 (ALL)
                                  (1,24) (1) ..</span></p>
                              <p><span> </span></p>
                              <p><span>$ 8 = Total PLANT heating load
                                  (Btu/h)</span></p>
                              <p><span>$ 9 = Total PLANT cooling load
                                  (Btu/h)</span></p>
                              <p><span>$ 10 = Total PLANT electric load
                                  (Btu/h)</span></p>
                              <p><span> </span></p>
                              <p><span>BLOCK-3-1 = REPORT-BLOCK</span></p>
                              <p><span>VARIABLE-TYPE = PLANT</span></p>
                              <p><span>VARIABLE-LIST = (8,9,10) ..</span></p>
                              <p><span>BLOCK-3-2 = REPORT-BLOCK</span></p>
                              <p><span>VARIABLE-TYPE = GLOBAL</span></p>
                              <p><span>VARIABLE-LIST = (1) ..</span></p>
                              <p><span>HR-3 = HOURLY-REPORT</span></p>
                              <p><span>REPORT-SCHEDULE = RP-3</span></p>
                              <p><span>REPORT-BLOCK =
                                  (BLOCK-3-1,BLOCK-3-2) ..</span></p>
                              <p><span> </span></p>
                              <p><span>END ..</span></p>
                              <p><span> </span></p>
                              <p><span>COMPUTE PLANT ..</span></p>
                              <p><span> </span></p>
                              <p><span>STOP ..</span></p>
                              <p><span> </span></p>
                              <div>
                                <div>
                                  <div>
                                    <p class="MsoNormal"><span>8=!  8=) 
                                        :=)  8=)  ;=)  8=)  8=(  8=) 
                                        8=()  8=)  8=|  8=)  :=')  8=)
                                        8=?<br>
                                        Jeff S. Haberl,
                                        Ph.D.,P.E.inactive,FASHRAE,FIBPSA,......<a href="mailto:........jhaberl@tamu.edu" target="_blank">jhaberl@tamu.edu</a><br>
                                        Professor........................................................................Office

                                        Ph: <a href="tel:979-845-6507" value="+19798456507" target="_blank">979-845-6507</a><br>
                                        Department of
                                        Architecture............................................Lab
                                        Ph:<a href="tel:979-845-6065" value="+19798456065" target="_blank">979-845-6065</a><br>
                                        Energy Systems
                                        Laboratory...........................................FAX:
                                        <a href="tel:979-862-2457" value="+19798622457" target="_blank">979-862-2457</a><br>
                                        Texas A&M
                                        University...................................................77843-3581<br>
                                        College Station, Texas, USA,
                                        77843.............................<a href="http://esl.tamu.edu" target="_blank">http://esl.tamu.edu</a><br>
                                        8=/  8=)  :=)  8=)  ;=)  8=) 
                                        8=()  8=)  :=)  8=)  8=!  8=) 
                                        8=? 8=) 8=0</span></p>
                                  </div>
                                </div>
                              </div>
                              <div>
                                <div class="MsoNormal">
                                  <hr width="100%"> </div>
                                <div>
                                  <p class="MsoNormal"><b><span>From:</span></b><span>
                                      Bldg-sim [<a href="mailto:bldg-sim-bounces@lists.onebuilding.org" target="_blank">bldg-sim-bounces@lists.onebuilding.org</a>]
                                      on behalf of Joe Huang [<a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a>]<br>
                                      <b>Sent:</b> Monday, June 22, 2015
                                      9:17 PM<br>
                                      <b>To:</b> <a href="mailto:bldg-sim@lists.onebuilding.org" target="_blank">bldg-sim@lists.onebuilding.org</a><br>
                                      <b>Subject:</b> Re: [Bldg-sim]
                                      Energy model calibration -
                                      normalizing the utility bills to
                                      month start-end</span></p>
                                </div>
                                <div>
                                  <p class="MsoNormal">Maybe I'm missing
                                    something here, but why can't you
                                    just count up the degree days for
                                    the utility period?<br>
                                    I hope you're not working with
                                    average or "typical year" degree
                                    days, but the degree days from the
                                    same time period.<br>
                                    <br>
                                    I also recall that the old Princeton
                                    Scorekeeping Method (PRISM) back in
                                    the 1980's allows the user to enter
                                    the degree days for that time
                                    period, so it's not a new problem.<br>
                                    <br>
                                    Joe<br>
                                    <br>
                                  </p>
                                  <pre>Joe Huang</pre>
                                  <pre>White Box Technologies, Inc.</pre>
                                  <pre>346 Rheem Blvd., Suite 205A</pre>
                                  <pre>Moraga CA 94556</pre>
                                  <pre><a href="mailto:yjhuang@whiteboxtechnologies.com" target="_blank">yjhuang@whiteboxtechnologies.com</a></pre>
                                  <pre><a href="http://weather.whiteboxtechnologies.com" target="_blank">http://weather.whiteboxtechnologies.com</a> for simulation-ready weather data</pre>
                                  <pre>(o) <a href="tel:%28925%29388-0265" value="+19253880265" target="_blank">(925)388-0265</a></pre>
                                  <pre>(c) <a href="tel:%28510%29928-2683" value="+15109282683" target="_blank">(510)928-2683</a></pre>
                                  <pre>"building energy simulations at your fingertips"</pre>
                                  <div>
                                    <p class="MsoNormal">On 6/22/2015
                                      6:09 AM, Jones, Christopher wrote:</p>
                                  </div>
                                  <blockquote>
                                    <div>
                                      <p class="MsoNormal">When
                                        calibrating an energy model to
                                        utility bills the utility bills
                                        often don’t align with the month
                                        start and end.  I have reviewed
                                        a couple methods to calendar
                                        normalize the utility bills but
                                        find them somewhat
                                        unsatisfactory.</p>
                                      <p class="MsoNormal"> </p>
                                      <p class="MsoNormal">For example
                                        the method I am looking at does
                                        the following:</p>
                                      <p class="MsoNormal">The April gas
                                        bill runs from March 25 – April
                                        24.  The algorithm takes the
                                        average number of m3 per day
                                        from that bill, applies it to
                                        the days in April.  Then it
                                        takes the average number of days
                                        from the May bill which runs
                                        from April 24 – May 25 and
                                        applies that average to the
                                        remaining days in April.  </p>
                                      <p class="MsoNormal"> </p>
                                      <p class="MsoNormal">The issue is
                                        that the March-April period has
                                        much higher HDD than the
                                        April-May period and the
                                        “normalized” gas usage is
                                        significantly lower than the
                                        simulation data for April.</p>
                                      <p class="MsoNormal"> </p>
                                      <p class="MsoNormal">I am
                                        wondering if there are any
                                        papers or other sources of
                                        information as to how others
                                        approach this problem.</p>
                                      <p class="MsoNormal"> </p>
                                      <p class="MsoNormal"> </p>
                                      <div>
                                        <p class="MsoNormal"><span><img src="cid:part26.08010101.09040205@whiteboxtechnologies.com" alt="cid:image003.png@01D09C46.E75BA0D0" height="43" width="108"></span></p>
                                        <p class="MsoNormal"><b><span>Christopher

                                              Jones,</span></b><span>P.Eng.<i>
                                              <br>
                                            </i></span><span lang="EN-CA">Senior Engineer</span></p>
                                        <p class="MsoNormal"> </p>
                                        <p class="MsoNormal"><b><span lang="EN-CA">WSP Canada
                                              Inc.</span></b></p>
                                        <p class="MsoNormal"><span lang="EN-CA">2300 Yonge
                                            Street, Suite 2300</span></p>
                                        <p class="MsoNormal"><span lang="EN-CA">Toronto, ON M4P
                                            1E4</span><span lang="EN-CA"><br>
                                          </span><span lang="EN-CA">T <a href="tel:%2B1%20416-644-4226" value="+14166444226" target="_blank">+1
                                              416-644-4226</a></span></p>
                                        <p class="MsoNormal"><span lang="EN-CA">F <a href="tel:%2B1%20416-487-9766" value="+14164879766" target="_blank">+1
                                              416-487-9766</a></span></p>
                                        <p class="MsoNormal"><span lang="EN-CA">C <a href="tel:%2B1%20416-697-0065" value="+14166970065" target="_blank">+1
                                              416-697-0065</a></span></p>
                                        <p class="MsoNormal"> </p>
                                        <p class="MsoNormal"><span lang="EN-CA"><a href="http://www.wspgroup.com/" target="_blank">www.wspgroup.com</a>
                                          </span></p>
                                      </div>
                                      <p class="MsoNormal"> </p>
                                    </div>
                                    <div class="MsoNormal">
                                      <hr width="100%"> </div>
                                    <div>
                                      <p class="MsoNormal"><span><br>
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                                    <p class="MsoNormal"> </p>
                                    <pre>_______________________________________________</pre>
                                    <pre>Bldg-sim mailing list</pre>
                                    <pre><a href="http://lists.onebuilding.org/listinfo.cgi/bldg-sim-onebuilding.org" target="_blank">http://lists.onebuilding.org/listinfo.cgi/bldg-sim-onebuilding.org</a></pre>
                                    <pre>To unsubscribe from this mailing list send  a blank message to <a href="mailto:BLDG-SIM-UNSUBSCRIBE@ONEBUILDING.ORG" target="_blank">BLDG-SIM-UNSUBSCRIBE@ONEBUILDING.ORG</a></pre>
                                  </blockquote>
                                  <p class="MsoNormal"> </p>
                                </div>
                              </div>
                            </div>
                            <div class="MsoNormal"><span>
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                            <p class="MsoNormal"><span>No virus found in
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                          <pre>_______________________________________________
Bldg-sim mailing list
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</pre>
                        </blockquote>
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                      <br>
                    </blockquote>
                  </div>
                  <br>
                  <br>
                  <div><br>
                  </div>
                </div>
              </div>
              -- <br>
              <div>
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                                          <p><span></span></p>
                                          James V Dirkes II, PE, BEMP,
                                          LEED AP<br>
                                          CEO/President<br>
                                          The Building Performance Team
                                          Inc.<br>
                                          1631 Acacia Dr, GR, Mi 49504<br>
                                          <br>
                                          Direct: <a href="tel:616.450.8653" value="+16164508653" target="_blank">616.450.8653</a><br>
                                          <a href="mailto:jim@buildingperformanceteam.com" target="_blank">jim@buildingperformanceteam.com</a><br>
                                          <br>
                                          <a href="http://buildingperformanceteamcom" target="_blank">Website </a>l
                                           <a href="https://www.linkedin.com/pub/jim-dirkes/7/444/413" target="_blank">LinkedIn</a>
                                          <p><b><i><span> </span></i></b><span></span></p>
                                          <p>
                                          </p>
                                          <p><span>Studies show that
                                              four out of every three
                                              people have a hard time
                                              with math.<span></span></span></p>
                                        </div>
                                      </div>
                                    </div>
                                  </div>
                                </div>
                              </div>
                            </div>
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            <br>
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            <br>
          </blockquote>
        </div>
        <br>
      </div>
    </blockquote>
    <br>
  </div></div></div>

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