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HPWH Performance Report 8. Calculations The following section summarizes the primary calculations used in the analysis. 8.1 Water Heating Load Our metered data is in 1-minute intervals, and we calculated the water heating load using the following equation: π»πππ‘πππ πΏπππ (π΅π‘π’) = π»π ππππ€ ( πππ ) π₯ [π β π ]23(Β°πΉ) π₯ πππ‘πππ£ππ (πππ)π₯ πΜ 24 π₯ π 25 πππ ππ’π‘πππ‘ πππππ‘ π,π€ππ‘ππ π€ππ‘ππ Example Calculation: πππ‘ππ π»πππ‘πππ πΏπππ (π΅π‘π’) = 1.5 πππ π₯ (140Β°πΉ β 50Β°πΉ) π₯ 1 πππ π₯ 0.997 π΅π‘π’ π₯ 8.3077 πππ πππ πππ Β°πΉ πππ = 1,118 π΅π‘π’ 7.2 Coefficient of Performance The power meter at each site monitors the systemβs average power by the minute, which equates to energy consumed. To calculate performance, we sum the total water heating load delivered and the total energy consumed by the unit over the monitoring period. The following equation shows the calculation for COP: Example Calculation: COP = Ξ£ Heat Load Deliverd (Btu) x kWh Ξ£ Energy In (kWh) 3,412 Btu COP = 700,000 Btu x kWh = 1.71 120 kWh 3,412 Btu 8.3 Baseline Energy Factors To calculate the baseline Efficiency Factor (EF), we used the U.S. Department of Energy Federal Energy Conservation Standards for residential water heaters. The following calculation depends on tank size and results in a range of EFs between 0.86 and 0.91. πΈπΉ = 0.97 β ( 0.00132 π₯ π ππ‘ππ ππ‘πππππ ππππ’ππ ππ πππππππ ) Example Calculation: πΈπΉ = 0.97 β ( 0.00132 π₯ 43 πππππππ ) = 0.913 23 π»ππππππ is the HW temperature measured at the outlet of the tank. π»πππππ is the cold water temperature from the city or well measured at the inlet of the tank. 24 πΜ π,πππππ is the average specific heat of water at 90Β°F (assuming HW temp raised from 50-140Β°F). 25 ππππππ is the density of water at 90Β°F. 19PDF Image | CO2 Integrated Heat Pump Water Heater
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