Mathcad Professional 14.0 <description/> <author>Worcester Polytechnic Institute</author> <company/> <keywords/> <revisedBy>Worcester Polytechnic Institute</revisedBy> </userData> <identityInfo> <revision>4</revision> <documentID>B94DF9A5-B193-4A72-9C69-88EE074C76C0</documentID> <versionID>914C12A1-5B59-4F4B-BFCE-09D9C2D5D853</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" 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margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" 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multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="531" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="378" left="144" top="8.25" width="137.25" height="12" align-x="153" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>Solar Photovoltaic System</b> </p> </text> </region> <region region-id="11" left="24" top="38.25" width="174" height="24" align-x="24" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">average annual incident radiation</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(National Renewable Energy Laboratory)</p> </text> </region> <region region-id="379" left="240" top="44.25" width="88.5" height="12" align-x="249" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Panel surface area</p> </text> </region> <region region-id="12" left="36" top="69" width="33.75" height="12.75" align-x="45.75" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:real>4.25</ml:real> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="384" left="246" top="69" width="36" height="12.75" align-x="260.25" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A</ml:id> <ml:real>172</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="385" left="294" top="63" width="12" height="18.75" align-x="299.25" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </math> <rendering item-idref="3"/> </region> <region region-id="302" left="84" top="68.25" width="33" height="33.75" align-x="98.25" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">kW</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">day</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="4"/> </region> <region region-id="15" left="42" top="116.25" width="66.75" height="12" align-x="51" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">panel efficiency</p> </text> </region> <region region-id="16" left="54" top="141" width="32.25" height="12.75" align-x="66.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ε</ml:id> <ml:real>.12</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="18" left="42" top="182.25" width="105.75" height="12" align-x="54" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Energy produced in year</p> </text> </region> <region region-id="317" left="42" top="225" width="116.25" height="12.75" align-x="111" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">KWHproduced</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve">A</ml:id> </ml:apply> <ml:id xml:space="preserve">ε</ml:id> </ml:apply> <ml:real>365</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="318" left="42" top="237" width="126" height="18.75" align-x="109.5" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">KWHproduced</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>32017.8</ml:real> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="320" left="168" top="243" width="24" height="12.75" align-x="179.25" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">KWH</ml:id> </math> <rendering item-idref="8"/> </region> <region region-id="334" left="36" top="272.25" width="117.75" height="12" align-x="47.25" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Power of system (in kw)</p> </text> </region> <region region-id="328" left="48" top="302.25" width="125.25" height="27.75" align-x="99.75" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SystemSize</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">KWHproduced</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>365</ml:real> <ml:real>24</ml:real> </ml:apply> <ml:id xml:space="preserve">ε</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="329" left="48" top="333" width="88.5" height="12.75" align-x="98.25" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SystemSize</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>30.458333333333332</ml:real> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="333" left="138" top="333" width="15" height="12.75" align-x="144.75" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">kW</ml:id> </math> <rendering item-idref="11"/> </region> <region region-id="204" left="36" top="356.25" width="258" height="12" align-x="44.25" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Cost of system ($9000 per kW from siemenssolar)</p> </text> </region> <region region-id="205" left="48" top="381" width="129" height="12.75" align-x="102.75" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SystemCost</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">SystemSize</ml:id> <ml:real>9000</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="339" left="48" top="405" width="111.75" height="18.75" align-x="101.25" align-y="420" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SystemCost</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>274125</ml:real> </result> </ml:eval> </math> <rendering item-idref="13"/> </region> <region region-id="514" left="66" top="632.25" width="84" height="12" align-x="82.5" align-y="642" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>Payback in years</b> <sp/> </p> </text> </region> <region region-id="515" left="84" top="663" width="81" height="12.75" align-x="134.25" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">KWHused</ml:id> <ml:real>32290</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region 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<result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>77.577000000001135</ml:real> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="526" left="186" top="902.25" width="41.25" height="12" align-x="201" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Per Year </p> </text> </region> <region region-id="527" left="84" top="944.25" width="147" height="27.75" align-x="125.25" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Payback</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">SystemCost</ml:id> <ml:id xml:space="preserve">DollarsSavedWithSolar</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="528" left="84" top="999" width="78" height="12.75" align-x="123.75" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Payback</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>30.040855563566456</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="529" left="168" top="999" width="23.25" height="12.75" align-x="178.5" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Years</ml:id> </math> <rendering item-idref="25"/> </region> <region region-id="531" left="84" top="1034.25" width="237.75" height="60" align-x="91.5" align-y="1044" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The Payback with electricity costing $ .19 = 45 Years</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The Payback with electricity costing $ .238 = 36 Years</p> <p style="Normal" margin-left="0" 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