# Converting *kW/ton* to *COP* or *EER*

## How to convert between *kW/ton*, *COP* and *EER*

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The chiller efficiency depends on the energy consumed. Absorption chillers are rated in fuel consumption per ton cooling. Electric motor driven chillers are rated in kilowatts per ton cooling.

*KW/ton = 12 / EER**KW/ton = 12 / (COP x 3.412)**COP = EER / 3.412**COP = 12 / (KW/ton) / 3.412**EER = 12 / KW/ton**EER = COP x 3.412*

If a chillers efficiency is rated at *1 KW/ton, *

*COP = 3.5**EER = 12*

**Cooling Load in - ***kW/ton*

*kW/ton*

The term* kW/ton* is commonly used for larger commercial and industrial air-conditioning, heat pump and refrigeration systems.

The term is defined as the ratio of energy consumption in *kW* to the rate of heat removal in *tons* at the rated condition. The lower the *kW/ton* the more efficient the system.

kW/ton = P_{c}/ E_{r}(1)

where

P_{c}= energy consumption (kW)

E_{r}= heat removed (ton)

**Coefficient of Performance - ***COP*

*COP*

The Coefficient of Performance - *COP* - is the basic parameter used to report efficiency of refrigerant based systems.

The Coefficient of Performance - *CO*P - is the ratio between useful energy acquired and energy applied and can be expressed as

COP = E_{u}/ E_{a}(2)

where

COP= coefficient of performance

E_{u}= useful energy acquired (btu in imperial units)

E_{a}= energy applied (btu in imperial units)

COP can be used to define both cooling efficiencies or heating efficiencies as for a heat pumps.

**Cooling**-*COP*is defined as the ratio of of heat removal to energy input to the compressor**Heating**-*COP*is defined as the ratio of heat delivered to energy input to the compressor

*COP* can be used to define the efficiency at single standard or non-standard rated conditions, or as a weighted average of seasonal conditions. The term may or may not include the energy consumption of auxiliary systems such as indoor or outdoor fans, chilled water pumps, or cooling tower systems.

- higher
*COP*- more efficient system

*COP* can be treated as an efficiency where *COP* of *2.00 = 200%* efficiency. For unitary heat pumps, ratings at two standard outdoor temperatures of *47 ^{o}F* and

*17*(

^{o}F*8.3*and

^{o}C*-8.3*) are typically used.

^{o}C**Energy Efficiency Ratio - ***EER*

*EER*

The Energy Efficiency Ratio - *EER* - is a term generally used to define cooling efficiencies of unitary air-conditioning and heat pump systems.

The efficiency is determined at a single rated condition specified by an appropriate equipment standard and is defined as the ratio of net cooling capacity - or heat removed in *Btu/h* - to the total input rate of electric power applied - in *Watts*. The units of *EER* are* Btu/Wh*.

EER = E_{c}/ P_{a}(3)

where

EER= energy efficient ratio (Btu/Wh)

E_{c}= net cooling capacity (Btu/h)

P_{a}= appliedelectrical power (Watts)

This efficiency term typically includes the energy requirement of auxiliary systems such as the indoor and outdoor fans.

- higher
*EER -*more efficient system

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