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I can confirm Mike's understanding of the DOE-2/eQUEST results.&nbsp; To get
the correct number of hours of unmet loads, people should MULTIPLY the
Percent hours outside throttling range from BEPS or BEPU by the total
annual "hours fans on" listed in report SS-E.<br>
<br>
One other comment re: Ashu's write-up - I believe that (for
DOE-2/eQUEST) a zone temperature has to be more than one degree outside
the throttling range for that hour to be counted as an hour outside
throttling range.&nbsp; So for a zone with a heating thermostat setpoint of
72 and a 2 degree throttling range (=&gt; 71-73 degree "throttling
range"), the zone temperature would have to be LESS THAN 70 in order
for that hour to be counted.<br>
<br>
related info -<br>
We are contemplating a change to the Air-Side HVAC Summary view in the
eQUEST interface to report this total number of hours as opposed to
just the percent in the totals section at the bottom of the report.<br>
We have also just in the past several days (thanks to the efforts of
Steve Gates) added precision to the percent hours outside throttling
range reported on BEPS &amp; BEPU and ALSO added separate reporting of
hours any zone is either under cooled or under heated, intended for
reporting to LEED submission templates.&nbsp; Assuming no further changes
(which is certainly not out of the question), future releases of
DOE-2/eQUEST will report the following in the BEPS &amp; BEPU reports:<br>
<tt>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; PERCENT OF HOURS ANY SYSTEM ZONE OUTSIDE OF THROTTLING
RANGE =&nbsp; 4.45<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; PERCENT OF HOURS ANY PLANT LOAD NOT SATISFIED&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
=&nbsp; 0.00<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; HOURS ANY ZONE ABOVE COOLING THROTTLING RANGE&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
=&nbsp;&nbsp;&nbsp; 98<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; HOURS ANY ZONE BELOW HEATING THROTTLING RANGE&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
=&nbsp;&nbsp;&nbsp; 25<br>
</tt><br>
- Scott<br>
<br>
<br>
Rosenberg, Michael I wrote:
<blockquote
 cite="mid:77ABE1C6F7B0AE4794A66EBAB92B1F6B022F2800@EMAIL03.pnl.gov"
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  <div class="Section1">
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">Ashu,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">I
am in agreement with everything you stated except possibly this;<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal" style="margin-left: 0.25in; text-align: justify;">&#8220;When
percentage of unmet is specified, than this is the percentage of total
number
of hours (1 year- 8760 hours) for which the simulation is performed
(not just
the occupied hours)&#8221;<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal" style="text-align: justify;">My understanding is
that some
simulation programs (DOE2 and eQuest in particular) report this as a
percentage
of hours that the fan is running. I could be wrong, and I am sure some
of you
DOE2 experts can comment on what is reported in the DOE2 BEPS report.<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal" style="text-align: justify;">Mike<o:p></o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">&nbsp;<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <div>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);">__________________________</span></b>
  <o:p></o:p></p>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Michael Rosenberg</span></b>
  <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Senior
Commercial Buildings Energy Analyst</span> <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">ENERGY
&amp;
ENVIRONMENT DIRECTORATE </span><o:p></o:p></p>
  </div>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Pacific
Northwest National Laboratory </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">2032
Todd
Street </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Eugene,
OR
97405 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">(541)
844-1960 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;"><a class="moz-txt-link-abbreviated" href="mailto:michael.rosenberg@pnl.gov">michael.rosenberg@pnl.gov</a>
  </span><br>
  <span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);"><a class="moz-txt-link-abbreviated" href="http://www.pnl.gov">www.pnl.gov</a></span>
  <span style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p></o:p></span></p>
  <div>
  <div
 style="border-style: solid none none; border-color: rgb(181, 196, 223) -moz-use-text-color -moz-use-text-color; border-width: 1pt medium medium; padding: 3pt 0in 0in;">
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;"> ashu
gupta
[<a class="moz-txt-link-freetext" href="mailto:kce2@kamalcogentenergy.com">mailto:kce2@kamalcogentenergy.com</a>] <br>
  <b>Sent:</b> Monday, October 26, 2009 10:17 PM<br>
  <b>To:</b> Rosenberg, Michael I; 'Nick Caton'; 'Crockett, Jim';
'Kendra Tupper'<br>
  <b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> RE: [Bldg-sim] Ashrae 90.1 - Unmet hours<o:p></o:p></span></p>
  </div>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;">Dear
All,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;">Explanation
of Unmet Hours is as follows:<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal" style="text-align: justify;"><b>Unmet Hours:</b><o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;">Unmet hours of a
building are the
summation of the number of hours when the heating or the cooling set
point
temperature of a zone is not met either by the HVAC system or by the
plant.<o:p></o:p></p>
  <p><b>Understanding/Interpreting/Calculating the number of unmet
hours:</b><o:p></o:p></p>
  <ul style="margin-top: 0in;" type="disc">
    <li class="MsoNormal" style="text-align: justify;">Unmet hour is
for a particular zone when the zone indoor temperature is higher than
the heating or cooling set point specified in that hour.<o:p></o:p></li>
    <li class="MsoNormal" style="text-align: justify;">The number or
the percentage of unmet hours in a building is usually given as one of
the outputs of the simulation.<o:p></o:p></li>
    <li class="MsoNormal" style="text-align: justify;">Zone wise unmet
can also be read from the various output files provided by the software
used for simulation.<o:p></o:p></li>
  </ul>
  <p class="MsoNormal" style="text-align: justify;">(Example: &nbsp;<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;">Visual DOE: &#8220;SS-J
System
Peak Heating and Cooling Days&#8221; report &amp;<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;">Energy Plus: Output
Variable,
&#8220;Time Cooling Set point Not met&#8221;)<o:p></o:p></p>
  <ul style="margin-top: 0in;" type="disc">
    <li class="MsoNormal" style="text-align: justify;">When two zones
are unmet at the same hour, this will count to one unmet hour for the
building.<o:p></o:p></li>
    <li class="MsoNormal" style="text-align: justify;">When two zones
have unmet hours during different non overlapping times of a day, the
total number of unmet hours in that day is the summation of these unmet
hours of each zone. This total for the year should be considered as the
total unmet hours of the building.<o:p></o:p></li>
  </ul>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;"><i>Example:
  </i><o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;">When
each zone
is unmet in the specified hours as beside,<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;">&nbsp;<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;">Zone
1 unmet
during:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
6&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
8&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
14&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;">Zone
2 unmet
during:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
6&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
8&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
12&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.25in;">Zone
3 unmet
during:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
7&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
8&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
12&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 13<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;">Total
number of
unmet hours of the building: <b>7 hrs</b> and not 12hrs.<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;">6&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
7&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
8&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
12&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
13&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
14&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16<o:p></o:p></p>
  <p class="MsoNormal" style="text-align: justify;">&nbsp;<o:p></o:p></p>
  <ul style="margin-top: 0in;" type="disc">
    <li class="MsoNormal" style="text-align: justify;">When percentage
of unmet is specified, than this is the percentage of total number of
hours (1 year- 8760 hours) for which the simulation is performed (not
just the occupied hours)<o:p></o:p></li>
    <li class="MsoNormal" style="text-align: justify;">As per ASHRAE
90.1-2004, the unmet hours of the total building should be less than or
equal to 300 hours and the difference in the base case and proposed
case should be less than or equal to 50 hours.<o:p></o:p></li>
    <li class="MsoNormal" style="text-align: justify;">If unmet load
hours in the proposed building exceed the unmet load hours in the
baseline building by more than 50, then the size of equipment in the
baseline building shall be reduced incrementally, until the condition
is satisfied.<o:p></o:p></li>
  </ul>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;; color: navy;">Thanks<o:p></o:p></span></p>
  <div>
  <p style="margin-bottom: 12pt;"><span
 style="font-size: 10pt; color: rgb(0, 64, 128);">Ashu
Gupta,<br>
Project Engineer,<br>
Kamal Cogent Energy,<br>
Kamal Ratan Chanbers 1st Floor,<br>
Opp. GPO, M.I. Road,<br>
Jaipur 302001<br>
Ph 141 2373185(W)<br>
Ph 9251665008(M)<br>
  </span><span
 style="font-family: &quot;Book Antiqua&quot;,&quot;serif&quot;; color: rgb(0, 64, 128);"><a
 moz-do-not-send="true" href="mailto:kce2@kamalcogentenergy.com"><span
 style="font-size: 10pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;">kce2@kamalcogentenergy.com</span></a><br>
  <a moz-do-not-send="true" href="http://www.kamalcogentenergy.com"><span
 style="font-size: 10pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;">www.kamalcogentenergy.com</span></a><o:p></o:p></span></p>
  </div>
  <div>
  <div class="MsoNormal" style="text-align: center;" align="center">
  <hr align="center" size="2" width="100%"></div>
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">
<a class="moz-txt-link-abbreviated" href="mailto:bldg-sim-bounces@lists.onebuilding.org">bldg-sim-bounces@lists.onebuilding.org</a>
[<a class="moz-txt-link-freetext" href="mailto:bldg-sim-bounces@lists.onebuilding.org">mailto:bldg-sim-bounces@lists.onebuilding.org</a>]
  <b>On Behalf Of </b>Rosenberg, Michael I<br>
  <b>Sent:</b> Tuesday, October 27, 2009 9:07 AM<br>
  <b>To:</b> Nick Caton; Crockett, Jim; Kendra Tupper<br>
  <b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> Re: [Bldg-sim] Ashrae 90.1 - Unmet hours</span><o:p></o:p></p>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">I
think eQuest and any DOE2 based software does report the hours of loads
not
being met as required by Appendix G. In the BEPS report it gives
&#8220;PERCENT
OF HOURS ANY SYSTEM ZONE OUTSIDE OF THROTTLING RANGE&#8221;. My understanding
of this number is that it is a percentage of scheduled fan run-time
hours, so
some calculation may be necessary.<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <div>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);">__________________________</span></b>
  <o:p></o:p></p>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Michael Rosenberg</span></b>
  <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Senior
Commercial Buildings Energy Analyst</span> <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">ENERGY
&amp;
ENVIRONMENT DIRECTORATE </span><o:p></o:p></p>
  </div>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Pacific
Northwest National Laboratory </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">2032
Todd Street
  </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Eugene,
OR
97405 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">(541)
844-1960 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;"><a class="moz-txt-link-abbreviated" href="mailto:michael.rosenberg@pnl.gov">michael.rosenberg@pnl.gov</a>
  </span><br>
  <span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);"><a class="moz-txt-link-abbreviated" href="http://www.pnl.gov">www.pnl.gov</a></span>
  <span style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p></o:p></span></p>
  <div>
  <div
 style="border-style: solid none none; border-color: rgb(181, 196, 223) -moz-use-text-color -moz-use-text-color; border-width: 1pt medium medium; padding: 3pt 0in 0in;">
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;"> Nick
Caton
[<a class="moz-txt-link-freetext" href="mailto:ncaton@smithboucher.com">mailto:ncaton@smithboucher.com</a>] <br>
  <b>Sent:</b> Monday, October 26, 2009 8:20 PM<br>
  <b>To:</b> Rosenberg, Michael I; Crockett, Jim; Kendra Tupper<br>
  <b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> RE: [Bldg-sim] Ashrae 90.1 - Unmet hours<o:p></o:p></span></p>
  </div>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">Mike,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">I
appreciate you bringing this up.&nbsp; This definition drives
straight to the heart of defining the issue-at-hand&#8230;&nbsp; Since I kinda
presented both sides of the issue at once &#8211; I&#8217;d like to clarify
where I stand regarding what the correct interpretation <u>should be</u>.&nbsp;
  <o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">The
logic is as follows:&nbsp; If a modeled year has 8,760
hours, can there be 10,000 unmet load hours?&nbsp; By strict reading of the
standard&#8217;s definition below, I would put my foot down stating there can
  <u>only</u>
be 8,760, at most.&nbsp; <o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">By
common practice however, it appears a majority (myself
included) sum unmet cooling/heating hours between the zones, even if
they
should fall on the same modeled hour, against the intent of the
standard.&nbsp;
  <o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">My
pure speculation (for what it&#8217;s worth, as a young EIT)
is this practice developed because eQuest BDL reports don&#8217;t present the
crunched numbers in a way that makes the sum of unmet load hours, as
intended
by 90.1, easy to determine.&nbsp; I wouldn&#8217;t be shocked to learn other
energy modeling software packages generate LEED compliance summaries
featuring
unmet load hour totals in sync with the real intent of ASHRAE 90.1.<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">If
there&#8217;s anything I&#8217;ve learned from going out on a
limb, it&#8217;s that I&#8217;m sure to learn something whether I fall or not!<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">~Nick<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <div>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><img
 id="_x0000_i1026" src="cid:part1.03000809.04040203@doe2.com"
 alt="cid:489575314@22072009-0ABB" border="0" height="37" width="119"></span><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p></o:p></span></b></p>
  <p class="MsoNormal"><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p>&nbsp;</o:p></span></b></p>
  <p class="MsoNormal"><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">NICK
CATON, E.I.T.</span></b><b><span
 style="font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p></o:p></span></b></p>
  <p class="MsoNormal"><span
 style="font-size: 7.5pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(204, 153, 0);">PROJECT
ENGINEER</span><span style="font-size: 7.5pt; color: rgb(204, 153, 0);"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">25501
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ks 66061<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">direct
913 344.0036<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">fax
913 345.0617<o:p></o:p></span></p>
  <p class="MsoNormal"><i><span
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out our new web-site @ </span></i><span
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 title="blocked::www.smithboucher.com"><span style="font-size: 10pt;">www.smithboucher.com</span></a></span><u><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: blue;">
  </span></u><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p></o:p></span></p>
  </div>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <div>
  <div
 style="border-style: solid none none; border-color: rgb(181, 196, 223) -moz-use-text-color -moz-use-text-color; border-width: 1pt medium medium; padding: 3pt 0in 0in;">
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">
Rosenberg, Michael
I [<a class="moz-txt-link-freetext" href="mailto:michael.rosenberg@pnl.gov">mailto:michael.rosenberg@pnl.gov</a>] <br>
  <b>Sent:</b> Monday, October 26, 2009 7:39 PM<br>
  <b>To:</b> Nick Caton; Crockett, Jim; <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> RE: [Bldg-sim] Ashrae 90.1 - Unmet hours<o:p></o:p></span></p>
  </div>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">Nick,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">Your
interpretation is the correct one. According to the definitions in
Standard
90.1.<o:p></o:p></span></p>
  <p class="definitions"><b><i><span
 style="font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">unmet
load hour:</span></i></b><span
 style="font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"> an
hour in which one or more zones is outside of the thermostat setpoint
range.<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;">Mike<o:p></o:p></span></p>
  <div>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);">__________________________</span></b>
  <o:p></o:p></p>
  <p class="MsoNormal" style=""><b><span
 style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Michael Rosenberg</span></b>
  <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Senior
Commercial Buildings Energy Analyst</span> <br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">ENERGY
&amp;
ENVIRONMENT DIRECTORATE </span><o:p></o:p></p>
  </div>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Pacific
Northwest National Laboratory </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">2032
Todd
Street </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">Eugene,
OR
97405 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;">(541)
844-1960 </span><br>
  <span style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;;"><a class="moz-txt-link-abbreviated" href="mailto:michael.rosenberg@pnl.gov">michael.rosenberg@pnl.gov</a>
  </span><br>
  <span
 style="font-size: 10pt; font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: rgb(212, 117, 0);"><a class="moz-txt-link-abbreviated" href="http://www.pnl.gov">www.pnl.gov</a></span>
  <span style="font-size: 10pt; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><o:p></o:p></span></p>
  <div>
  <div
 style="border-style: solid none none; border-color: rgb(181, 196, 223) -moz-use-text-color -moz-use-text-color; border-width: 1pt medium medium; padding: 3pt 0in 0in;">
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">
<a class="moz-txt-link-abbreviated" href="mailto:bldg-sim-bounces@lists.onebuilding.org">bldg-sim-bounces@lists.onebuilding.org</a>
[<a class="moz-txt-link-freetext" href="mailto:bldg-sim-bounces@lists.onebuilding.org">mailto:bldg-sim-bounces@lists.onebuilding.org</a>] <b>On Behalf Of </b>Nick
Caton<br>
  <b>Sent:</b> Monday, October 26, 2009 5:33 PM<br>
  <b>To:</b> Crockett, Jim; <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> Re: [Bldg-sim] Ashrae 90.1 - Unmet hours<o:p></o:p></span></p>
  </div>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">Jim,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">That&#8217;s
actually a really good question that I was afraid
to ask when I first encountered it &#8211; kudos to you!&nbsp; I&#8217;ve
currently resolved to follow what others seemed to be doing within and
outside
of my office:&nbsp; Sum up all unmet hours for cooling and heating between
the
zones just as you describe.&nbsp; &nbsp;In your example, I&#8217;d agree that
the unmet hours of your 301 zone building total 301.<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">I
do agree that this doesn&#8217;t seem intuitively to be the
intent of the standard, however between what is suggested within 90.1,
the LEED
handbook, and the LEED credit templates &#8211; I honestly can&#8217;t see any
clear indication either way on which is the appropriate
interpretation.&nbsp; <o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">I
think the appropriate metric for ensuring appropriately sized
systems should be something like: &#8220;hours of the modeled year in which
at
least one zone has an unmet cooling/heating load,&#8221;&nbsp; but I think that
was avoided by all concerned parties because it&#8217;s too wordy!<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">My
acting interpretation, again referencing your example, is
that all systems of your 301 zone example affecting the zones with
unmet
cooling/heating hours should have their heating/cooling/overall sizing
capacity
ratios increased incrementally until the design hours fall below 300
(and/or within
50 of the sum from the other model, depending on your situation).<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);">Afraid
I&#8217;m only really adding to the discussion here
without providing a solid answer.&nbsp; Would like to echo the desire to see
anyone&#8217;s experiences that would help us know the &#8220;right&#8221; way
to interpret this (in my case, specifically in the context of a LEED
submittal).<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <div>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><img
 id="Picture_x005f_x0020_1" src="cid:part1.03000809.04040203@doe2.com"
 alt="cid:489575314@22072009-0ABB" border="0" height="37" width="119"></span><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p></o:p></span></b></p>
  <p class="MsoNormal"><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p>&nbsp;</o:p></span></b></p>
  <p class="MsoNormal"><b><span
 style="font-size: 11pt; font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">NICK
CATON, E.I.T.</span></b><b><span
 style="font-family: &quot;Stylus BT&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);"><o:p></o:p></span></b></p>
  <p class="MsoNormal"><span
 style="font-size: 7.5pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(204, 153, 0);">PROJECT
ENGINEER</span><span style="font-size: 7.5pt; color: rgb(204, 153, 0);"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">25501
west valley parkway<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">olathe
ks 66061<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">direct
913 344.0036<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">fax
913 345.0617<o:p></o:p></span></p>
  <p class="MsoNormal"><i><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(45, 77, 94);">Check
out our new web-site @ </span></i><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><a
 moz-do-not-send="true" href="www.smithboucher.com"
 title="blocked::www.smithboucher.com"><span style="font-size: 10pt;">www.smithboucher.com</span></a></span><u><span
 style="font-size: 10pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: blue;">
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 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p></o:p></span></p>
  </div>
  <p class="MsoNormal"><span
 style="font-size: 11pt; font-family: &quot;Calibri&quot;,&quot;sans-serif&quot;; color: rgb(31, 73, 125);"><o:p>&nbsp;</o:p></span></p>
  <div>
  <div
 style="border-style: solid none none; border-color: rgb(181, 196, 223) -moz-use-text-color -moz-use-text-color; border-width: 1pt medium medium; padding: 3pt 0in 0in;">
  <p class="MsoNormal"><b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">From:</span></b><span
 style="font-size: 10pt; font-family: &quot;Tahoma&quot;,&quot;sans-serif&quot;;">
<a class="moz-txt-link-abbreviated" href="mailto:bldg-sim-bounces@lists.onebuilding.org">bldg-sim-bounces@lists.onebuilding.org</a>
[<a class="moz-txt-link-freetext" href="mailto:bldg-sim-bounces@lists.onebuilding.org">mailto:bldg-sim-bounces@lists.onebuilding.org</a>] <b>On Behalf Of </b>Crockett,
Jim<br>
  <b>Sent:</b> Monday, October 26, 2009 4:27 PM<br>
  <b>To:</b> <a class="moz-txt-link-abbreviated" href="mailto:bldg-sim@lists.onebuilding.org">bldg-sim@lists.onebuilding.org</a><br>
  <b>Subject:</b> [Bldg-sim] Ashrae 90.1 - Unmet hours<o:p></o:p></span></p>
  </div>
  </div>
  <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Ashrae
90.1 (2004) Appendix G3.1.2.2 requires a baseline building to have less
than
300 unmet hours. &nbsp;What exactly does this mean?<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">To
illustrate my question: &nbsp;assume you have a building with 301 zones, and
each zone has 1 unmet hour per year. &nbsp;This gives you a total of 301
unmet
hours, and requires you to increase your baseline equipment capacity.
&nbsp;But
you could argue that, on average, the building has only 1 unmet hour
per year.<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Have
any of you run into this?&nbsp; Is it addressed in an addendum somewhere,
etc?<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Any
help is appreciated.&nbsp; Thanks,<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Jim
Crockett, P.E.</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span style="font-family: &quot;Courier New&quot;;">&nbsp;<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Senior
Project Engineer</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Energy
&amp; Carbon Management</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Nexant,
Inc.</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">4021&nbsp;S.
700 E., Suite 250</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">Salt
Lake City, Utah 84107</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span style="font-family: &quot;Courier New&quot;;">&nbsp;<o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">(801)
639-5603 - phone</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span
 style="font-size: 10pt; font-family: &quot;Courier New&quot;;">(801)
266-4786 - fax</span><span style="font-family: &quot;Courier New&quot;;"><o:p></o:p></span></p>
  <p class="MsoNormal"><span style="font-family: &quot;Courier New&quot;;"><o:p>&nbsp;</o:p></span></p>
  </div>
  <pre wrap="">
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