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Calcimator

Geothermal COP Calculator

Calculate coefficient of performance from source and delivery temperatures.

About this calculator

This calculator estimates a ground-source (geothermal) heat pump's coefficient of performance (COP) from the ground-loop source temperature and the delivered air or water temperature. It first computes the theoretical Carnot COP -- the thermodynamic maximum possible for the temperature gap between the two reservoirs -- using absolute temperature (Rankine). Which reservoir plays the "hot" role and which plays "cold" depends on mode: in Heating, the ground loop is the cold reservoir heat is extracted from and the delivered air/water is the hot reservoir heat is delivered to; in Cooling, those roles flip, because the ground loop becomes the heat-rejection sink (it absorbs the heat pulled out of the building and runs warmer) while the delivered air/water is the cold reservoir being cooled. Real compressor COP is then estimated as 50% of the Carnot ideal, a commonly cited rule of thumb reflecting real-world compressor and heat-exchanger losses, and System COP further divides by total power including the ground-loop circulating pump -- this is why System COP is always somewhat lower than Compressor COP alone. Carnot COP depends on how much "lift" the heat pump must do between the two reservoirs, and which direction each temperature pushes it flips between modes because the hot/cold reservoir assignment flips too: in Heating mode, a warmer source temperature (a smaller gap to delivery) raises COP, while a hotter delivery target (a larger gap) lowers it.

In Cooling mode the relationship reverses -- a warmer source (ground-loop heat-rejection) temperature widens the lift and lowers COP, while a warmer delivery (cold-air/water) target narrows the lift and raises COP. Either way, in either mode, a wider gap between the two reservoirs means more work is required to move the same amount of heat. Published typical System COP figures for ground-source heat pumps are commonly cited around 3-5, and this calculator's defaults land within that range. Because Source and Delivery Temperature are independent inputs, entering a combination where the reservoirs are in the wrong physical order for the selected mode (for example, a Delivery Temperature at or below Source Temperature in Heating mode) is not a real operating point, so this calculator reports "not computable" rather than a fabricated number for that combination.

Inputs

°F
°F
BTU/hr
kW

Results

System COP

4.67

Total Power Draw

3.01 kW

≈ 3 microwaves

Compressor COP5.6
Carnot COP (ideal)11.2
EER15.9
How to Use This Calculator
  1. Enter the source temperature (entering water from the ground loop) and the delivery temperature (leaving air or water) in °F.
  2. Select Heating or Cooling mode to match how the heat pump is operating.
  3. Enter the system's capacity in BTU/hr and the circulating pump's power draw in kW.
  4. Review the Compressor COP and System COP (which factors in pump power) — higher COP means more efficient operation.
  5. Compare against the Carnot COP (ideal maximum) and EER to see how close the system runs to the theoretical limit.

How the result changes with Delivery Temperature

Delivery TemperatureSystem COPTotal Power Draw
6013.511.04 kW
757.751.82 kW
1402.984.72 kW

What each input means

Source Temperature
Entering water temperature from ground loop.
Delivery Temperature
Leaving air or water delivery temperature.
Mode
Operating mode of the heat pump.
System Capacity
Heat pump capacity in BTU per hour.
Circulating Pump Power
Electrical power consumed by the ground loop pump.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Source Temperature = 50, Delivery Temperature = 100, Mode = 0, System Capacity = 48000, Circulating Pump Power = 0.5 = 5 input(s) provided
  2. Calculate System COP
    System COP
    4.67 = 4.67
  3. Calculate Total Power Draw
    Total Power Draw
    3.01 = 3.01
  4. Calculate Compressor COP
    Compressor COP
    5.6 = 5.6
  5. Calculate Carnot COP
    Carnot COP
    11.2 = 11.2

Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why do the hot and cold reservoir roles flip between Heating and Cooling mode?

In Heating mode, the heat pump extracts heat from the relatively cold ground loop and delivers it to the building at a higher temperature, so the ground loop plays the cold role and the delivered air/water plays the hot role in the Carnot formula. In Cooling mode, the heat pump instead extracts heat from the building and rejects it into the ground loop, which now runs warmer as the heat-rejection sink -- so the ground loop becomes the hot reservoir and the delivered cold air/water becomes the cold reservoir.

Why is Compressor COP only about half of Carnot COP?

Carnot COP represents the theoretical maximum possible for a given temperature gap under ideal, reversible thermodynamics -- no real machine reaches it. This calculator applies a commonly cited rule of thumb that real ground-source heat pump compressors achieve roughly 40-60% of their Carnot COP due to compressor inefficiency, heat-exchanger approach temperature losses, and other real-world irreversibilities, and uses 50% as a representative midpoint estimate.

Why is System COP lower than Compressor COP?

Compressor COP only accounts for the compressor's own power draw relative to heating or cooling output, while System COP divides the same output by TOTAL system power, including the electricity the ground-loop circulating pump consumes. Since the pump adds power draw without adding heating or cooling capacity, folding it in always pulls System COP below Compressor COP alone -- this is why System COP is the more realistic figure for estimating actual operating cost.

Why does this calculator sometimes say a result is 'not computable'?

Source and Delivery Temperature are independent inputs, so it is possible to enter a combination where the two reservoirs are in the wrong physical order for the mode you selected -- for example, a Delivery Temperature at or below Source Temperature while in Heating mode, which is not a real operating point for a heat pump extracting heat from the ground. Rather than compute a Carnot COP from an invalid temperature order and display a plausible-looking but meaningless number, this calculator reports that the result is not computable for that combination.

Is a System COP of 3-5 actually realistic for a geothermal heat pump?

Yes -- published figures for ground-source heat pump systems commonly cite a typical System COP in roughly that 3-5 range under normal operating conditions, though actual performance varies by ground loop design, climate, delivered temperature, and equipment quality. This calculator's default source and delivery temperatures land within that commonly cited range, which is a useful sanity check when entering your own system's numbers.

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