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local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="true"/> <customUnitSystem base-unit-system="si"> <baseUnits> <unit unit-name="mole" quantity-name="amount_of_substance"/> <unit unit-name="ampere" quantity-name="current"/> <unit unit-name="meter" quantity-name="length"/> <unit unit-name="candela" quantity-name="luminous_intensity"/> <unit unit-name="kilogram" quantity-name="mass"/> <unit unit-name="kelvin" quantity-name="thermodynamic_temperature"/> <unit unit-name="second" quantity-name="time"/> </baseUnits> <derivedUnits> <unit unit-name="lux" quantity-name="illuminosity"/> <unit unit-name="farad" quantity-name="capacitance"/> <unit unit-name="coulomb" quantity-name="charge"/> <unit unit-name="volt" quantity-name="electric_potential"/> <unit unit-name="joule" quantity-name="energy"/> <unit unit-name="newton" quantity-name="force"/> <unit unit-name="henry" quantity-name="inductance"/> <unit unit-name="weber" quantity-name="magnetic_flux"/> <unit unit-name="tesla" quantity-name="magnetic_flux_density"/> <unit unit-name="watt" quantity-name="power"/> <unit unit-name="pascal" quantity-name="pressure"/> <unit unit-name="ohm" quantity-name="resistance"/> <unit unit-name="liter" quantity-name="volume"/> </derivedUnits> </customUnitSystem> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="true" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <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="1232" 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="804" left="36" top="8.25" width="416.25" height="13.5" align-x="53.25" 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">Battery Storage.xmcd<sp count="3"/>Charles Kim 2013</p> </text> </region> <region region-id="1212" left="24" top="32.25" width="682.5" height="108" align-x="27.75" align-y="42" 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">A remote telecommunication site needs 2 days of battery storage for the load that needs 500 Ah/day at 12 V.<sp count="2"/>The site may drop to -20 C degrees.<sp count="2"/> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">It is assumed that, at -20C degrees, the actual capacity of the battery discharged over a 48-hour period is 80% of the rated capacity.</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Also assumed is that, at -20 C degrees, to avoid freezing, the maximum depth of dischage is limited to 60%.</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="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(Q) Find the Amp-Hours of the storage for the battery bank.</p> </text> </region> <region region-id="1213" left="30" top="156" width="315.75" height="234" align-x="30" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="2" display-width="314.25" display-height="232.5"/> </picture> <rendering item-idref="3"/> </region> <region region-id="1215" left="372" top="176.25" width="67.5" height="13.5" align-x="402" align-y="186" 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">SOLUTION </p> </text> </region> <region region-id="1222" left="372" top="194.25" width="187.5" height="13.5" align-x="375.75" align-y="204" 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">1. AH needed for 48 hours</p> </text> </region> <region region-id="1218" left="378" top="210.75" width="183" height="21.75" align-x="428.25" align-y="228" 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">AHneed</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:real>500</ml:real> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1000</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1220" left="594" top="218.25" width="22.5" height="13.5" align-x="600.75" align-y="228" 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">Ah </p> </text> </region> <region region-id="1224" left="372" top="254.25" width="315" height="27" align-x="375.75" align-y="264" 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">2. Actual AH Needed (when it can dischareg only 60% of the size):</p> </text> </region> <region region-id="1225" left="384" top="286.5" width="182.25" height="33.75" align-x="425.25" align-y="306" 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">AHact</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">AHneed</ml:id> <ml:real>0.6</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1666.6666666666667</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1227" left="594" top="296.25" width="22.5" height="13.5" align-x="600.75" align-y="306" 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">Ah </p> </text> </region> <region region-id="1229" left="372" top="338.25" width="307.5" height="27" align-x="375.75" align-y="348" 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">3. Final AH size (when considered the 80% capacity of the rated Amp-Hour)</p> </text> </region> <region region-id="1230" left="384" top="364.5" width="168.75" height="33.75" align-x="420.75" align-y="384" 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">AFfin</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">AHact</ml:id> <ml:real>0.8</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2083.3333333333335</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1232" left="582" top="380.25" width="22.5" height="13.5" align-x="588.75" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text 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