<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:x="urn:schemas-microsoft-com:office:excel" xmlns:st1="urn:schemas-microsoft-com:office:smarttags" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv=Content-Type content="text/html; charset=utf-8">
<meta name=Generator content="Microsoft Word 11 (filtered medium)">
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style>
<![endif]--><o:SmartTagType
namespaceuri="urn:schemas-microsoft-com:office:smarttags" name="PostalCode"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="Street"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="State"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="City"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="place"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="address"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="PersonName"/>
<!--[if !mso]>
<style>
st1\:*{behavior:url(#default#ieooui) }
</style>
<![endif]-->
<style>
<!--
/* Font Definitions */
@font-face
{font-family:Tahoma;
panose-1:2 11 6 4 3 5 4 4 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman";}
a:link, span.MsoHyperlink
{color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{color:blue;
text-decoration:underline;}
span.EmailStyle17
{mso-style-type:personal-reply;
font-family:Arial;
color:navy;}
@page Section1
{size:8.5in 11.0in;
margin:1.0in 1.25in 1.0in 1.25in;}
div.Section1
{page:Section1;}
-->
</style>
<!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang=EN-US link=blue vlink=blue>
<div class=Section1>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Cliff,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>There is no square term. Here is an
example of normalizing the EIRf(PLR) curve for a fan or pump with known kW (or
bhp and motor efficiency) at given part-load speeds and at full-load speed.
The data below is fictitious so I don’t recommend using it for a real curve.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=131
style='width:98.0pt;margin-left:-.65pt;border-collapse:collapse'>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:solid windowtext 1.0pt;
border-right:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>PLR<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt'>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>kW<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.2">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>20%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.98399999999999987">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.98<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.3">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>30%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="1.6335">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>1.63<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.4">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>40%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="2.472">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>2.47<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.5">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>50%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="3.5625">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>3.56<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.6">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>60%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="4.968">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>4.97<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.7">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>70%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="6.7514999999999992">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>6.75<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.8">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>80%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="8.9760000000000009">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>8.98<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.9">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>90%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="11.704500000000001">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>11.70<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:solid windowtext 1.0pt;
border-right:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="1">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>100%<o:p></o:p></span></font></p>
</td>
<td width=67 nowrap height=17 valign=bottom style='width:50.0pt;border:solid windowtext 1.0pt;
border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>15.00<o:p></o:p></span></font></p>
</td>
</tr>
</table>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>To normalize this data, divide the kW for
each part-load value by the full-load kW. Doing this, your data will look like
the table below. The idea is that when a PLR of 1.0 is entered, the result is
1.0. This type of curve is used to scale some other input or eQuest-calculated
value.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=183
style='width:137.0pt;margin-left:-.65pt;border-collapse:collapse'>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:solid windowtext 1.0pt;
border-right:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>PLR<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt'>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>Normalized kW<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.2">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>20%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="6.5599999999999992E-2">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.066<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.3">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>30%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.1089">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.109<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.4">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>40%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.1648">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.165<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.5">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>50%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.23749999999999999">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.238<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.6">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>60%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.33119999999999999">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.331<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.7">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>70%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.45009999999999994">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.450<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.8">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>80%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.59840000000000004">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.598<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border:none;
border-left:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;height:12.75pt'
x:num="0.9">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>90%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="0.7803000000000001">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>0.780<o:p></o:p></span></font></p>
</td>
</tr>
<tr height=17 style='height:12.75pt'>
<td width=64 nowrap height=17 valign=bottom style='width:48.0pt;border-top:
none;border-left:solid windowtext 1.0pt;border-bottom:solid windowtext 1.0pt;
border-right:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num="1">
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>100%<o:p></o:p></span></font></p>
</td>
<td width=119 nowrap height=17 valign=bottom style='width:89.0pt;border:solid windowtext 1.0pt;
border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.75pt' x:num>
<p class=MsoNormal align=center style='text-align:center'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'>1.000<o:p></o:p></span></font></p>
</td>
</tr>
</table>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Next, you can use MS Excel to plot this
and match a 2<sup>nd</sup> order trendline to it and show the trendline
equation. These are the coefficients you want to enter into a custom
performance curve. Your plot with trendline should look similar to below.
Just remember that eQuest asks for the coefficients in reverse order than how
MS Excel plots them. eQuest will ask for A + Bx + Cx<sup>2</sup>. Also pay attention
to negative and positive signs. If the coefficient has a negative sign, be
sure to include it in eQuest. You will see that a 2<sup>nd</sup> order
trendline will fit your data quite nicely due to the characteristics of your
system. For equipment such as variable speed fans on cooling towers or
condensing units, the data should more closely match the affinity laws or a 3<sup>rd</sup>
order trendline. This is because there is relatively little equipment downstream
of the fan for the pressure to change at varying velocities.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><img width=406 height=249 id="_x0000_i1027"
src="cid:image002.gif@01CB6B8B.ABB4CC50"></span></font><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><st1:PersonName w:st="on"><font size=1 color=gray
face=Arial><span style='font-size:8.5pt;font-family:Arial;color:gray'>John T.
Forester</span></font></st1:PersonName><font size=1 color=gray face=Arial><span
style='font-size:8.5pt;font-family:Arial;color:gray'>, P.E., LEED AP,
Mechanical Design Engineer </span></font><strong><b><font size=1
color="#0000a0" face=Arial><span style='font-size:8.5pt;font-family:Arial;
color:#0000A0'>I BVH Integrated Services I</span></font></b></strong><strong><b><font
size=1 color=black face=Arial><span style='font-size:8.5pt;font-family:Arial;
color:black'> </span></font></b></strong><font size=1 color=gray face=Arial><span
style='font-size:8.5pt;font-family:Arial;color:gray'>617.658.9008 tel </span></font><strong><b><font
size=1 color="#0000a0" face=Arial><span style='font-size:8.5pt;font-family:
Arial;color:#0000A0'>I</span></font></b></strong><strong><b><font size=1
color=gray face=Arial><span style='font-size:8.5pt;font-family:Arial;
color:gray'> </span></font></b></strong><font size=1 color=gray face=Arial><span
style='font-size:8.5pt;font-family:Arial;color:gray'>617.244.3753 fax</span></font><font
size=1 color="#0000a0" face=Arial><span style='font-size:8.5pt;font-family:
Arial;color:#0000A0'> <strong><b><font face=Arial><span style='font-family:
Arial'>I</span></font></b></strong></span></font><strong><b><font size=1
color=gray face=Arial><span style='font-size:8.5pt;font-family:Arial;
color:gray'> </span></font></b></strong><font size=1 color=gray face=Arial><span
style='font-size:8.5pt;font-family:Arial;color:gray'><U4:STREET u5:st="on"><U4:ADDRESS u5:st="on"><U1:STREET u2:st="on"><U6:STREET u7:st="on"><U6:ADDRESS u7:st="on"><U1:ADDRESS u2:st="on">One
Gateway Center Suite 506, <U4:STREET u5:st="on"><U4:ADDRESS u5:st="on"><U1:STREET u2:st="on"><U1:ADDRESS u2:st="on">Newton
MA 02458 </span></font><strong><b><font size=1 color="#0000a0" face=Arial><span
style='font-size:8.5pt;font-family:Arial;color:#0000A0'>I <a
href="http://www.bvhis.com">www.bvhis.com</a> I Hartford ● New Haven ●
Boston</span></font></b></strong><font color=gray><span style='color:gray'><o:p></o:p></span></font></p>
</div>
<div>
<div class=MsoNormal align=center style='text-align:center'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>
<hr</U1:ADDRESS></U1:STREET></U4:ADDRESS></U4:STREET></U1:ADDRESS></U6:ADDRESS></U6:STREET></U1:STREET></U4:ADDRESS></U4:STREET>
size=2 width="100%" align=center tabindex=-1>
</span></font></div>
<p class=MsoNormal><b><font size=2 face=Tahoma><span style='font-size:10.0pt;
font-family:Tahoma;font-weight:bold'>From:</span></font></b><font size=2
face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma'>
equest-users-bounces@lists.onebuilding.org
[mailto:equest-users-bounces@lists.onebuilding.org] <b><span style='font-weight:
bold'>On Behalf Of </span></b>Clifford McDonald<br>
<b><span style='font-weight:bold'>Sent:</span></b> Thursday, October 14, 2010
9:09 AM<br>
<b><span style='font-weight:bold'>To:</span></b> Erik Kolderup<br>
<b><span style='font-weight:bold'>Cc:</span></b>
equest-users@lists.onebuilding.org<br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: [Equest-users]
Default Performance Curves</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Thanks for the help on this, but I'm still confused. Are you saying the
form of the equation is: <o:p></o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>PLR = (PLR * (EIRcurrent / EIRfull) ) + (PLR * (EIRcurrent / EIRfull)
)^2 <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>? Then, if the equipment has constant efficiency across the full
load range, the EIR/EIR term is one, and you get:<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>PLR = PLR + PLR^2, which doesn't make sense.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>If the form is just:<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>PLR = PLR [ (EIR / EIR) + (EIR / EIR)^2, then this would mean that the
efficiency has to be constant (divide by PLR on both sides).<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>What am I missing here?<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>2010/10/13 Erik Kolderup <<a
href="mailto:erik@kolderupconsulting.com">erik@kolderupconsulting.com</a>><o:p></o:p></span></font></p>
<div link=blue vlink=purple>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>The DOE2 EIR-FPLR curves include PLR in the value. In other
words, you might expect the value of the curve to be (EIR at current load)/(EIR
at full load), but it’s actually PLR*(EIR at current load)/(EIR at full load).
So if you have a piece of equipment that has constant efficiency across the
full load range, then the curve will be a straight line between (0,0) and
(1,1). You have to look pretty closely at the background docs, such as the
DOE2.1A Engineer’s Manual, to see that.</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>-Erik </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D;font-weight:bold'>Erik Kolderup, PE, LEED AP</span></font></b><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>Kolderup Consulting | 415.531.5198 | <a
href="mailto:erik@kolderupconsulting.com" target="_blank">erik@kolderupconsulting.com</a></span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<div>
<div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in'>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 face="Times New Roman"><span style='font-size:10.0pt;font-weight:bold'>From:</span></font></b><font
size=2><span style='font-size:10.0pt'> James Hansen [mailto:<a
href="mailto:JHANSEN@ghtltd.com" target="_blank">JHANSEN@ghtltd.com</a>] <br>
<b><span style='font-weight:bold'>Sent:</span></b> Wednesday, October 13, 2010
1:50 PM<br>
<b><span style='font-weight:bold'>To:</span></b> Clifford McDonald; <a
href="mailto:equest-users@lists.onebuilding.org" target="_blank">equest-users@lists.onebuilding.org</a><br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: [Equest-users]
Default Performance Curves</span></font><o:p></o:p></p>
</div>
</div>
<div>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>Someone will be able to explain this better than me, but eQuest
curves are not intuitive. I wish they were, but they aren’t.</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>As an example: when you enter a chiller EIR curve as a
function of PLR, you would think this would be really easy, right? 0.1,
0.2, 0.3 etc as the PLR, and then the corresponding EIR (KW consumed vs current
tonnage). But that’s not the case….you end up basically having to square
the EIR to get proper outputs. Perhaps the same thing needs to be done
here? </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'>Again, someone will chime in with the real reasoning for this,
as I’ve seen it discussed before.</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 color=teal face="Times New Roman"><span style='font-size:11.0pt;
color:teal;font-weight:bold'>GHT Limited<br>
</span></font></b><b><font size=2 color=black><span style='font-size:11.0pt;
color:black;font-weight:bold'>James Hansen, PE, LEED AP</span></font></b><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black;font-weight:bold'>Senior Associate</span></font></b><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><st1:Street
w:st="on"><st1:address w:st="on"><font size=1 color=black face="Times New Roman"><span
style='font-size:7.5pt;color:black'>1010 N. Glebe Rd, Suite 200</span></font></st1:address></st1:Street><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><st1:place
w:st="on"><st1:City w:st="on"><font size=1 color=black face="Times New Roman"><span
style='font-size:7.5pt;color:black'>Arlington</span></font></st1:City><font
size=1 color=black><span style='font-size:7.5pt;color:black'>, <st1:State
w:st="on">VA</st1:State> <st1:PostalCode w:st="on">22201-4749</st1:PostalCode></span></font></st1:place><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=1 color=black face="Times New Roman"><span style='font-size:7.5pt;
color:black'>703-338-5754 (Cell)</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=1 color=black face="Times New Roman"><span style='font-size:7.5pt;
color:black'>703-243-1200 (Office)</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=1 color=black face="Times New Roman"><span style='font-size:7.5pt;
color:black'>703-276-1376 (Fax)</span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color=teal face="Times New Roman"><span style='font-size:11.0pt;
color:teal'><a href="http://www.ghtltd.com/" target="_blank"><font size=2><span
style='font-size:10.0pt'>www.ghtltd.com</span></font></a></span></font><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 color="#31849b" face="Times New Roman"><span style='font-size:11.0pt;
color:#31849B;font-weight:bold'> </span></font></b><o:p></o:p></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color="#1f497d" face="Times New Roman"><span style='font-size:11.0pt;
color:#1F497D'> </span></font><o:p></o:p></p>
<div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in'>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><font
size=2 face="Times New Roman"><span style='font-size:10.0pt;font-weight:bold'>From:</span></font></b><font
size=2><span style='font-size:10.0pt'> <a
href="mailto:equest-users-bounces@lists.onebuilding.org" target="_blank">equest-users-bounces@lists.onebuilding.org</a>
[mailto:<a href="mailto:equest-users-bounces@lists.onebuilding.org"
target="_blank">equest-users-bounces@lists.onebuilding.org</a>] <b><span
style='font-weight:bold'>On Behalf Of </span></b>Clifford McDonald<br>
<b><span style='font-weight:bold'>Sent:</span></b> Wednesday, October 13, 2010
4:29 PM<br>
<b><span style='font-weight:bold'>To:</span></b> <a
href="mailto:equest-users@lists.onebuilding.org" target="_blank">equest-users@lists.onebuilding.org</a><br>
<b><span style='font-weight:bold'>Subject:</span></b> [Equest-users] Default
Performance Curves</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'>Hello,<o:p></o:p></span></font></p>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'> <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'>I'm fairly new to
eQuest, but I was looking at the default performance curves for VSDs on fans
and pumps (EIR as a function of PLR), and with the exception of the cooling
tower fan (htrej-Fan-Pwr-fSpeed) which is a cubic equation, they are all
quadratic equations. Why would this be when, in theory, energy use should
vary with the cube of motor speed with a VSD? Why would it be quadratic
for supply fans and chilled water pumps but cubic for cooling tower fans?
Is there anywhere I can go to get more information on these default
values?<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'> <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=3 face="Times New Roman"><span style='font-size:12.0pt'>Thanks for the
help...<o:p></o:p></span></font></p>
</div>
<div class=MsoNormal align=center style='text-align:center'><font size=2
color=blue face="Times New Roman"><span style='font-size:10.0pt;color:blue'>
<hr size=2 width="100%" align=center>
</span></font></div>
<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><font
size=2 color=black face="Times New Roman"><span style='font-size:10.0pt;
color:black'>The information contained in this communication is confidential,
may be privileged, and is intended only for the use of the addressee. It
is the property of GHT Limited. Unauthorized use, disclosure or copying
of this communication or any part thereof is strictly prohibited and may be
unlawful. If you have received this communication in error, please notify
me immediately by return e-mail or by e-mail to <a href="mailto:ght@ghtltd.com"
target="_blank">ght@ghtltd.com</a>, and destroy this communication and all
copies thereof, including all attachments. Thank you.</span></font><o:p></o:p></p>
</div>
</div>
</div>
</div>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
</div>
</div>
</body>
</html>