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06 Numbers and Powers

Cooling kW to Electrical kW Calculator

Card No. 06·13608 · Updated · Standard formula, shown below

Estimated electrical input 3.33 kW
Cooling capacity
34,121 Btu/h
Result
Cooling capacity
2.84 refrigeration ton
Result
Cooling capacity
10 kW
You entered
You enter
Cooling capacity, Coefficient of performance (COP)
You get
Estimated electrical input, Cooling capacity, Cooling capacity
Rounding
2 dp · 0 dp

A cooling kW to electrical kW calculator estimates the electrical input needed to deliver a stated cooling capacity, using the equipment’s coefficient of performance (COP). Enter cooling capacity in kW and COP; the calculator returns estimated electrical power in kW, not a guaranteed reading of a particular unit’s actual consumption.

Formula

Electrical input (kW) = Cooling capacity (kW) ÷ COP. Here, cooling capacity is the rate at which heat is removed, expressed in kilowatts of cooling; COP is the ratio of cooling output to electrical input and has no unit. The result is electrical input power in kilowatts.

The calculator also displays capacity in other commonly encountered units. It uses 1 kW ≈ 3,412.142 Btu/h and 1 refrigeration ton = 3.5168525 kW of cooling. These are unit conversions, not extra performance assumptions.

Worked Example

Using the calculator’s default values, cooling capacity is 10 kW and COP is 3:

  1. Electrical input = 10 kW ÷ 3 = 3.333… kW, which rounds to 3.33 kW.
  2. Cooling capacity = 10 × 3,412.142 = 34,121.42 Btu/h, which rounds to 34,121 Btu/h.
  3. Cooling capacity = 10 ÷ 3.5168525 = 2.843… refrigeration tons, which rounds to 2.84 tons.

So a 10 kW cooling load at a COP of 3 corresponds to an estimated electrical input of 3.33 kW under the conditions represented by that COP.

What Cooling kW and Electrical kW Mean

The word “kW” can describe different things. Cooling capacity is the rate of heat removal from a room, process, or other cooled space. Electrical input is the rate at which the equipment draws electrical energy. They are related, but they are not the same quantity.

A cooling system moves heat rather than turning every unit of electricity into an equal unit of cooling. A COP above 1 is therefore ordinary: a COP of 3 means that, under the stated test or operating conditions, the system provides 3 kW of cooling for each 1 kW of electrical input. It does not mean the equipment generates energy.

Power is also distinct from energy. A unit drawing 3.33 kW for one hour uses about 3.33 kWh of electrical energy during that hour if its input stays constant. Over several hours, actual energy use depends on runtime and changing load, not just the capacity figure.

How to Choose the Right COP

The result is only as useful as the COP entered. Look for a COP that applies to the equipment and operating point you care about. Manufacturer data may state performance at specific indoor and outdoor temperatures, water temperatures, airflow, or load. A rating from one set of conditions may not describe performance in another.

  • Use the equipment’s documented COP when a product data sheet or performance table provides one for relevant conditions.
  • Keep the basis consistent. Do not divide a cooling capacity measured at one condition by a COP from a materially different condition and treat the result as exact.
  • Distinguish COP from other ratings. Seasonal or annual efficiency measures may use different methods and may not be interchangeable with a point COP.
  • For a rough estimate, state the assumption. If COP is unknown, any assumed value is an estimate, not a property the calculator can infer from capacity alone.

COP is a ratio, not a percentage. For example, enter 3 for a COP of 3, not 300. The allowed input range is a practical guard against invalid or implausible entries, not a claim that all equipment operates across that entire range.

When This Conversion Is Useful

This calculation can help compare cooling capacity with an electrical power estimate, check a rough equipment specification, or understand how a stated efficiency affects input power. It is also useful when a capacity is given in refrigeration tons or Btu/h and you first convert that capacity to kW of cooling.

For example, a cooling capacity of 12,000 Btu/h is about 3.52 kW of cooling, since 12,000 ÷ 3,412.142 ≈ 3.52. If the applicable COP were 3, estimated input would be about 3.52 ÷ 3 = 1.17 kW. That is an illustrative calculation; actual performance depends on conditions and the COP source.

Electrical kW does not by itself tell you the current in amperes or whether a circuit is suitable. Current depends on voltage, phase, power factor, and equipment characteristics. Do not use this estimate to select wiring, breakers, or other electrical components; those choices require equipment specifications and qualified assessment.

Common Mistakes and Limits

  • Dividing the wrong quantities: Cooling kW ÷ COP gives electrical kW. Multiplying cooling capacity by COP reverses the relationship.
  • Confusing kW with kWh: kW is power; kWh is energy used over time. Multiply power by operating hours only when power is reasonably constant.
  • Mixing cooling and electrical ratings: Check whether a label describes cooling capacity or electrical input before using it.
  • Treating a rounded answer as exact: The displayed result is rounded to two decimal places. Keep more precision during intermediate calculations if doing a separate calculation.
  • Assuming full-load operation all the time: Real equipment may modulate, cycle, or experience changing loads, so its average input can differ from this simple estimate.

The formula is a steady-state ratio calculation. It does not model startup behavior, standby power, fans or pumps unless their consumption is included in the COP basis, or changes in efficiency with weather and load. A reliable estimate of energy use over a day or season needs operating hours and performance information across those conditions.

Frequently Asked Questions

How many electrical kW is 1 kW of cooling?
It depends on COP. At COP 3, 1 kW of cooling requires an estimated 1 ÷ 3 = 0.33 kW of electrical input. Capacity alone is not enough to determine the input.

What COP should I use?
Use the COP documented for the equipment at the operating conditions relevant to your estimate. If it is unavailable, label any chosen COP as an assumption rather than a measured or guaranteed value.

How do I convert cooling tons to electrical kW?
First convert cooling tons to cooling kW: multiply refrigeration tons by 3.5168525. Then divide the cooling kW by COP to estimate electrical kW.

Is cooling kW the same as electrical kW?
No. Cooling kW describes heat-removal capacity; electrical kW describes power input. COP connects the two as cooling output divided by electrical input.

Can I calculate my electricity use from this result?
You can estimate kWh by multiplying electrical kW by operating hours if input power stays constant. Actual consumption can differ as the equipment cycles or its load and efficiency change.

Related

Formula used
in c | Cooling capacity | kW | 10 | 0 | 100000
in cop | Coefficient of performance (COP) | - | 3 | 0.01 | 20
out elec | Estimated electrical input | kW | c / cop | 2
out btu | Cooling capacity | Btu/h | c * 3412.142 | 0
out tons | Cooling capacity | refrigeration ton | c / 3.5168525 | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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