UTELVANI
Fictional worked example

Compare two heat-pump operating conditions

The same hot-water draw can require different electrical input as a heat pump’s operating performance changes. Compare illustrative COP values of 2 and 4 for the same delivered heat.

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Inputs and calculation

COP 2
Tool inputValue
CurrencyUSD
Volume or billing unitliters
Volume (L)100
Temperature rise (°C)40
Heating methodHeat pump
Coefficient of performance (COP)2
Energy price (USD per input kWh)0.3
Water price (USD/L)0

Heat delivered = 100 × 40 × 0.001163 kWh. Divide by 2 to get about 2.326 input kWh. Multiply input energy by 0.3, add 100 × 0 for water, then round to USD 0.70.

Tool result · USD 0.70

COP 4
Tool inputValue
CurrencyUSD
Volume or billing unitliters
Volume (L)100
Temperature rise (°C)40
Heating methodHeat pump
Coefficient of performance (COP)4
Energy price (USD per input kWh)0.3
Water price (USD/L)0

Heat delivered = 100 × 40 × 0.001163 kWh. Divide by 4 to get about 1.163 input kWh. Multiply input energy by 0.3, add 100 × 0 for water, then round to USD 0.35.

Tool result · USD 0.35

What the comparison shows

Doubling COP halves modeled electrical input for the same 4.652 kWh of delivered heat. COP is a ratio, so enter 2 or 4 directly.

Assumptions and limits

Use a representative operating COP. Ambient temperature and backup resistance operation can change seasonal performance.

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