Calculation of SEER and SCOP for Variable-Capacity Equipment

Seasonal performance values – SEER (Seasonal Energy Efficiency Ratio) in cooling mode and SCOP (Seasonal Coefficient of Performance) in heating mode – provide a more realistic indication of equipment performance because they account for different operating and part-load conditions, as well as the operating hours associated with each reference climate condition, rather than considering only a single set of design conditions. The higher the SEER or SCOP value, the more energy-efficient the equipment.

UNE-EN 14825 specifies the conditions and procedures required to obtain these values, which are summarized throughout this article.

Before starting the calculations, the three defined climate zones must be established: colder, warmer and average. For heating conditions, the average season uses a statistical climate profile for Strasbourg as its reference. On the following map of Europe, the warmer zone is shown in yellow, the average zone in green and the colder zone in blue:

MapsUnitsKEYTER_v2

Cooling mode

For cooling mode, SEER is calculated using the procedure shown in the following diagram:

Relación entre SEER, cargas y rendimientos parciales Diagrama de bloques que relaciona SEER con Q sub CE y Q sub C, SEER sub ON, P sub C de T sub j y EER sub bin de T sub j. SEER (6) Q CE (5) Q C (4) SEER ON (3) P C (T j ) (1) EER bin (T j ) (2)

The numbers indicate the sequence to be followed when calculating SEER.

For this calculation, a single climate zone is defined, referred to as the average climate zone. This differs from heating mode, which considers all three climate zones so that the appropriate values can be applied according to the location where the equipment will be used.

The following equations apply to each step in the diagram. The corresponding terms are defined below each equation:

QC
Annual reference demand
QCE
Annual energy consumption
Pdesign
Building design load
HCE
Hours in active mode
SEERON
Active-mode energy efficiency ratio in cooling mode
HTO
Operating hours in thermostat-off mode
PTO
Power input in thermostat-off mode
HSB
Operating hours in standby mode
PSB
Power input in standby mode
HCK
Operating hours in crankcase heater mode
PCK
Power input in crankcase heater mode
HOFF
Operating hours in off mode
POFF
Power input in off mode

The unit ratings provide the power values, while the operating hours are obtained from the following table in the standard:

Cooling mode hours Average climate
(hours)
HCE 600
HTO 659
HSB 1377
HCK 2036
HOFF 0
PC(Tj)
Load at the corresponding temperature
j
1 K outdoor-temperature bin
hj
Number of hours during the season for which an outdoor temperature occurs in each bin j
EERbin(Tj)
Cooling energy efficiency ratio for a bin at its corresponding temperature
Pf ( Tj )
Output capacity
Pa ( Tj )
Power input

As shown, several capacity and power values are required by the equations at specific temperatures. Therefore, for variable-capacity equipment, the calculation requires the available capacity and power input at different operating conditions. When intermediate values between the available data points are required, they may be obtained using the interpolation method specified in the methodology (depending on the equipment type: for air-to-water chillers, this refers to the leaving-water temperature; for rooftop units, to the supply-air temperature) as a function of the different outdoor or ambient temperatures. This interpolation can be used to obtain both the power input Pa (Tj) and the unit output capacity Pf (Tj) . The remaining values can then be derived from these two values.

The equation used to calculate SEERON is a summation of capacities at specific temperatures. The temperatures and operating hours required to obtain this value are shown in the following table, also taken from the standard and broken down into the defined bins:

Cooling-mode
bin j
Temperature Tj (°C) Operating hours Hj
(hours)
117205
218227
319225
420225
521216
622215
723218
824197
925178
1026158
1127137
1228109
132988
143063
153139
163231
173324
183417
193513
20369
21374
22383
23391
24400

Heating mode

For heating mode, the procedure is similar; the corresponding seasonal performance metric is SCOP.

As with the SEER calculation in cooling mode, the following diagram shows the SCOP calculation process, with the calculation sequence indicated by the smaller numbers:

Relación entre SCOP, cargas y rendimientos parciales Diagrama de bloques que relaciona SCOP con Q sub HE y Q sub H, SCOP sub ON, P sub H de T sub j y COP sub bin de T sub j. SCOP (6) Q HE (5) Q H (4) SCOP ON (3) P H (T j ) (1) COP bin (T j ) (2)

SCOP is calculated using the following equations:

QH
Annual reference demand
QHE
Annual energy consumption
KEYTER ZIRAN

The operating-hour tables for heating mode are also standardized and differ from those used for cooling mode. It is therefore important not to confuse them and to use the correct table in each case:

Heating mode hours Avg.
(h)
Colder
(hours)
Warmer
(hours)
HCE 1400 2100 1400
HTO 179 131 755
HSB 0 0 0
HCK 2036 1264 2414
HOFF 3851 2320 5100
SCOPON
Active-mode energy efficiency factor
COPbin ( Tj )
Efficiency factor for a bin at its corresponding temperature
elbu ( Tj )
Supplementary electric heater capacity
PH ( Tj )
Load at the corresponding temperature
Tdesign
Outdoor dry-bulb temperature of 35°C and indoor dry-bulb temperature of 27°C (24°C and 17°C wet-bulb, respectively)

The remaining terms are defined in the same way as for cooling mode.

The main difference between the two modes is that cooling mode uses a single climate zone and therefore a single set of calculation hours and temperature bins, whereas heating mode can produce three different performance values depending on the climate zone where the equipment will be used: average, warmer and colder.

Heating mode also accounts for a supplementary electric heater. This represents situations in which the available heat-pump capacity is insufficient to meet the required heating load under certain extreme outdoor conditions.

Each bin used in the calculation has a temperature and a corresponding number of operating hours. As in the previous case, the heating-mode data are provided in the following table from the standard:

Heating-mode
bin J
Temp.
Tj (°C)
Average-climate hours
hj_average (h)
Colder-climate hours
hj_colder (h)
Warmer-climate hours
hj_warmer (h)
4.5-26.5000
9-22001
10-21006
11-200013
12-190017
13-180019
14-170026
15-160039
16-150041
17-140035
18-130052
19-120037
20-110041
21-101043
22-925054
23-823090
24-7240125
25-6270169
26-5680195
27-4910278
28-3890306
29-21650454
30-11730385
3102400490
3212800533
3323203380
34335722228
35435663261
36530363279
376330175229
387326162269
398348259233
409335360230
4110315428243
4211215430191
4312169503146
4413151444150
451410538497
46157429461

These operating hours and temperature profiles correspond to standardized reference climate conditions used for seasonal calculations and do not necessarily represent the actual climatic conditions at the equipment installation site.

UNE-EN 14825 provides the procedure for calculating seasonal performance values, thereby producing a better efficiency indicator that can help reduce equipment energy consumption and minimize environmental impact without compromising appropriate thermal-comfort installations, regardless of their eventual application.
Another advantage of calculating these values is that they allow equipment in the same or different ranges to be compared across climate zones, helping select the most efficient unit for the customer’s requirements.
They also make it possible to compare our equipment with equivalent or similar products from other manufacturers and determine how much improvement is possible.

Please contact us with any questions. The KEYTER team will be pleased to address any issues raised by this article. If there is a specific topic you would like us to cover, get in touch with us!

Mari Ángeles Cepillo García

Mari Ángeles Cepillo García

Industrial Technologies Engineer · Energy specialization · Researcher in IAQ and HVAC

University Expert in Air-Conditioning Systems. Engineering Department at KEYTER.

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