CO2 Integrated Heat Pump Water Heater

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CO2 Integrated Heat Pump Water Heater ( co2-integrated-heat-pump-water-heater )

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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»π‘’π‘Žπ‘‘π‘–π‘›π‘” πΏπ‘œπ‘Žπ‘‘ (𝐡𝑑𝑒) = π»π‘Š π‘“π‘™π‘œπ‘€ ( π‘”π‘Žπ‘™ ) π‘₯ [𝑇 βˆ’ 𝑇 ]23(°𝐹) π‘₯ π‘–π‘›π‘‘π‘’π‘Ÿπ‘£π‘Žπ‘™ (π‘šπ‘–π‘›)π‘₯ 𝑐̅ 24 π‘₯ 𝜌 25 π‘šπ‘–π‘› π‘œπ‘’π‘‘π‘™π‘’π‘‘ 𝑖𝑛𝑙𝑒𝑑 𝑝,π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘€π‘Žπ‘‘π‘’π‘Ÿ Example Calculation: π‘Šπ‘Žπ‘‘π‘’π‘Ÿ π»π‘’π‘Žπ‘‘π‘–π‘›π‘” πΏπ‘œπ‘Žπ‘‘ (𝐡𝑑𝑒) = 1.5 π‘”π‘Žπ‘™ π‘₯ (140°𝐹 βˆ’ 50°𝐹) π‘₯ 1 π‘šπ‘–π‘› π‘₯ 0.997 𝐡𝑑𝑒 π‘₯ 8.3077 𝑙𝑏𝑠 π‘šπ‘–π‘› 𝑙𝑏𝑠°𝐹 π‘”π‘Žπ‘™ = 1,118 𝐡𝑑𝑒 7.2 Coefficient of Performance The power meter at each site monitors the system’s 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. 𝐸𝐹 = 0.97 βˆ’ ( 0.00132 π‘₯ π‘…π‘Žπ‘‘π‘’π‘‘ π‘†π‘‘π‘œπ‘Ÿπ‘Žπ‘”π‘’ π‘‰π‘œπ‘™π‘’π‘šπ‘’ 𝑖𝑛 π‘”π‘Žπ‘™π‘™π‘œπ‘›π‘  ) Example Calculation: 𝐸𝐹 = 0.97 βˆ’ ( 0.00132 π‘₯ 43 π‘”π‘Žπ‘™π‘™π‘œπ‘›π‘  ) = 0.913 23 𝑻𝒐𝒖𝒕𝒍𝒆𝒕 is the HW temperature measured at the outlet of the tank. π‘»π’Šπ’π’π’†π’• is the cold water temperature from the city or well measured at the inlet of the tank. 24 𝒄̅𝒑,π’˜π’‚π’•π’†π’“ is the average specific heat of water at 90Β°F (assuming HW temp raised from 50-140Β°F). 25 π†π’˜π’‚π’•π’†π’“ is the density of water at 90Β°F. 19

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