Calculation amount of heatthat is removed or absorbed by the refrigerator is a key task when designing cooling systems, diagnosing faults or choosing new equipment. This parameter determines how efficiently the device copes with maintaining a set temperature, how much energy it consumes and how long it will last. However, many users and even experts confuse the concepts "heat capacity", "cooling capacity" and actually amount of heat (Qthat the refrigerator removes from the chamber per unit of time.
In everyday life, the term "amount of heat" is often replaced by the more familiar "cooling power" or "energy consumption", but these are fundamentally different things. For example, cooling capacity (measured in W or kW) shows how much heat the refrigerator can “carry away” from the chamber in a second, while amount of heat (Q) is the total amount of energy transferred over a certain period of time (hour, day). Let's figure out how to correctly calculate this parameter for various tasks - from checking the serviceability of equipment to selecting the optimal model.
For accurate calculations you will need data from the technical data sheet of the refrigerator, but even without them, the heat balance can be assessed using indirect methods. The main thing is to understand the physical principles of the system and avoid common mistakes that distort the results by 20–30%.
1. Basic concepts: what is the amount of heat in a refrigerator
In thermodynamics amount of heat (Q) is the energy transferred between bodies due to the temperature difference. In the context of a refrigerator, we are talking about two key processes:
- Heat removal from the internal chamber (food, air) through the evaporator.
- Heat release to the environment through the condenser (rear grill of the refrigerator).
Important: the refrigerator does not “produce cold”, but transfers heat from one place to another, spending electricity on it. Therefore, the amount of heat removed from the chamber (Qcold) is always equal to the amount of heat released into the room (Qhot), plus the energy expended by the compressor (Qcompr).
Balance formula for an ideal cycle (without losses):
Qhot = Qcold + A
where A — compressor operation (in joules or watt-hours).
In practice, part of the heat is lost through the thermal insulation of the body, door seals and when opening the chamber. Therefore, the real Qcold is always higher than the theoretical.
2. Calculation formulas: from theory to practice
There are several ways to calculate the amount of heat that the refrigerator processes. The choice of method depends on the available data and the purpose of the calculation.
2.1. Through the cooling capacity and operating time
If known cooling capacity (N, in W) and the active operating time of the compressor (t, in hours), the amount of heat is calculated by the formula:
Q = N × t × 3600
Where 3600 is the conversion factor of watt-hours to joules (1 Wh = 3600 J).
Example: A refrigerator Atlant MXM 1705 has a cooling capacity 120 W and works 8 hours per day.
Q = 120 × 8 × 3600 = 3,456,000 J ≈ 0.96 kWh
2.2. Through energy consumption and efficiency
If known power consumption (P, in W) and efficiency coefficient (COP, for household refrigerators usually 2–4), the amount of heat removed (Qcold) is calculated as:
Qcold = P × t × COP
Example: The refrigerator consumes 150 Woperates 10 hours per day, COP = 3.
Qcold = 150 × 10 × 3 = 4,500 Wh = 4.5 kWh
⚠️ Attention: Value COP varies by model and operating conditions. For inverter compressors (LG Inverter Linear, Samsung Digital Inverter) it can reach5–7, and for outdated systems it can fall to1.5. Check the parameter in the technical documentation.
2.3. Through the heat balance of products
If the refrigerator is loaded with products, the amount of heat can be estimated by their mass (m, in kg), specific heat capacity (c, in J/(kg K)) and temperature difference (ΔT):
Q = m × c × ΔT
Example: Loaded into the chamber 5 kg of meat (with ≈ 3,500 J/(kg K)), which cooled from +20°C to +4°C.
Q = 5 × 3500 × (20 - 4) = 315,000 J ≈ 0.0875 kWh
Refrigeration capacity (from the passport)
Compressor operating time per day
Weight and type of stored products
Temperature in the chamber and outside
COP coefficient (for accurate calculations)-->
3. Where to get the initial data for calculations
Without the exact parameters of the refrigerator, all formulas are useless.
3.1. nameplate
The nameplate (usually on the back wall or inside the chamber) indicates:
- 🔹 Cooling capacity (
WorkW) - can be designated as Cooling Capacity. - 🔹 Power consumption (
Input Power). - 🔹 Energy efficiency class (from
A+++toG) - indirectly indicates COP.
Example of nameplate Bosch KAN92VI30:
| Parameter | Designation | Value |
|---|---|---|
| Cooling capacity | Cooling Capacity | 200 W |
| Power consumption | Input Power | 130 W |
| Energy efficiency class | Energy Class | A++ |
| Annual consumption | Energy Consumption | 280 kWh |
3.2. Experimental method: measuring operating time
If there is no data, you can measure compressor operating time per cycle:
- Disconnect the refrigerator from the network at
1–2 hours(to equalize the temperature). - Connect it via wattmeter (or use a smart socket with an energy metering function).
- Note the time while the compressor is running continuously (before the thermostat switches off).
- Multiply the power by the time - get
Qin one cycle.
⚠️ Attention: The method only works for refrigerators with non-inverter compressor (turns on/off). Inverter models (LG GR-B207SLQZ, Samsung RB30A3200SA) regulate power smoothly, and measurement requires specialized equipment.
3.3. Online calculators and programs
For a quick assessment you can use:
- 🔹 CoolSelector2 (from Danfoss) - calculation of cooling capacity based on chamber parameters.
- 🔹 Refrigeration Calculator (from Emerson) - takes into account the type of refrigerant and operating conditions.
- 🔹 Energy Star Calculator —estimates energy consumption according to the model.
Please note: most calculators give approximate values. For accurate calculations (for example, when designing industrial systems), specialized software is required like Pack Calculation Pro or RefProp.
4. Typical errors in calculations
Even experienced experts make mistakes that distort the results. Here are the most common:
4.1. Confusion between power and amount of heat
Many people believe that compressor power (for example, 150 W) is equal to the amount of heat removed. In fact:
- 🔹
150 Wis electrical powerconsumed by the compressor. - 🔹
Qcoldis thermal powerthat the refrigerator “takes” from the chamber (usually in2-3 times more).
Example: Compressor capacity 100 W with COP = 3 removes 300 W heat.
4.2. Ignoring heat inflows
The refrigerator removes not only heat from the products, but also:
- 🔹 Heat penetrating through door seals (especially if they are worn out).
- 🔹 Heat from chamber lighting (incandescent lamps get hotter than LED).
- 🔹 Heat generated fans (in models with No Frost).
- 🔹 Heat from hot productsplaced in the chamber.
These factors can increase Q by 15–25%. For example, if you put a pot of hot soup in the refrigerator, the amount of heat that needs to be removed will increase by 3–5 times compared to cooling the same volume of water at room temperature.
4.3. Not taking into account external conditions
The temperature in the room directly affects Q:
- 🔹 When
+30°Cin the room the refrigerator spends30–50%more energy than when+20°C. - 🔹 Air humidity worsens the heat transfer of the condenser, increasing the load.
⚠️ Attention: If the refrigerator is located next to a stove, radiator, or in direct sunlight, its actual cooling capacity may be lower than the rated one20–40%In such cases, use a correction factor for calculations.1.3–1.5.
Why are refrigerators with reinforced insulation sold in hot countries?
In climates with temperatures above +35°C, standard thermal insulation (4–5 cm thick) cannot cope with heat inflows Manufacturers (for example, Haier or Hisense) increase the thickness of the polyurethane foam to 6-8 cm and use vacuum panels to reduce the load on the compressor. This allows you to maintain energy efficiency at the class level A+++ even in extreme conditions.
5. Practical example: calculation for a refrigerator Indesit DF 4180 W
Let's consider a step-by-step calculation of the amount of heat for a popular model. Initial data (from the passport):
- 🔹 Cooling capacity:
180 W. - 🔹 Power consumption:
120 W. - 🔹 Energy efficiency class:
A+. - 🔹 Annual consumption:
320 kWh.
5.1. Calculation of the daily amount of heat
Suppose a compressor works 12 hours per day (typical value for class A+).
Method 1: Through cooling capacity.
Qday = 180 W × 12 h = 2,160 Wh = 2.16 kWh
Method 2: Through energy consumption and COP.
For class A+ typical COP ≈ 2.8.
Qday = 120 W × 12 h × 2.8 ≈ 4.03 kWh
The difference in the results is due to the fact that the cooling capacity (180 W) is indicated for nominal conditions (temperature in the chamber +5°C, outside +25°C). data-i="303">5.2. Checking annual consumption +30°C in the room Q will grow by 20–30%.
5.2. Check by annual consumption
The manufacturer declares 320 kWh/yearwhich on average gives:
320 kWh / 365 ≈ 0.88 kWh/day
This is consumed electricityand not the amount of heat removed! data-i="312">cold Qhall, multiply by COP:
Qcold ≈ 0.88 × 2.8 ≈ 2.46 kWh/day
The result is close to the first method, which confirms the correctness of the calculations.
6. in practice
Knowing the amount of heat helps in various situations - from diagnosing faults to optimizing energy costs.
6.1. Diagnostics of faults
If the actual one is significantly lower than the nominal value, possible reasons: Q significantly below the passport value, possible reasons:
- 🔹 Refrigerant leak (freon) - the compressor works without stopping, but does not cool.
- 🔹 Clogged capillary tube - the cooling capacity is reduced.
- 🔹 Thermostat malfunction - the compressor turns off too early.
- 🔹 Worn door seal —increased heat inflow.
Example: Refrigerator Samsung RL34ECMS with passport cooling capacity 200 W in reality only removes 1.2 kWh/day instead of the expected 2.4–3 kWhThis may indicate freon leakage by 30–40% (critical value requiring refueling).
6.2. Optimization of energy consumption
Reduce Q (and, accordingly, energy consumption) in the following ways:
- 🔹 Install the refrigerator in the coolest place in the kitchen (away from the stove and radiators).
- 🔹 Regularly defrost freezer (ice increases heat flow by
10–15%). - 🔹 Do not place hot foods - let them cool to room temperature.
- 🔹 Check door seals (test with a paper sheet: if it is easy pulls out when the door is closed, replacement is needed).
6.3. Choosing a new refrigerator
When purchasing, pay attention to:
- 🔹 Climate class:
N— for temperatures+16..+32°C(standard for Russia).SN—+10..+32°C(for cool rooms).T—+18..+43°C(for hot climates).
- 🔹 Cooling system:
- No Frost - less ice, but higher energy consumption
10–20%. - The drip system is more economical, but requires defrosting.
- No Frost - less ice, but higher energy consumption
Example: For a dacha with a summer temperature +35°C a class model T (for example, Lieberr EK 142530) is suitable, while a class refrigerator N will work for wear, consuming less. data-i="366">more energy. 40–50% more energy.
7. Special cases: industrial and automobile refrigerators
For industrial and transport refrigeration units, the calculation Q becomes more complicated due to additional factors: chamber volume, type of insulation, temperature dynamics. Specialized methods are used here.
7.1. Industrial refrigeration chambers
The amount of heat is calculated using the formula:
Q = Q1 + Q2 + Q3 + Q4
where:
Q1— heat inflows through enclosures (walls, ceiling, floor).Q2— heat from products.Q3—heat from lighting and equipment.Q4—heat from ventilation and opening doors.
Example for a camera 10 m³ with +5°C inside and +30°C outside:
Q1 ≈ 500 W (through the walls)Q2 ≈ 300 W (cooling 100 kg of meat)
Q3 ≈ 100 W (lighting)
Q4 ≈ 200 W (ventilation)
Total: Q ≈ 1,100 W = 1.1 kW
7.2. Car refrigerators (12/24 V)
For portable refrigerators (for example, Dometic CFX3 40) the amount of heat depends on:
- 🔹 Compressor type (regular or inverter).
- 🔹 Chamber volume (liters).
- 🔹 Ambient temperature (in a car it can reach
+60°Cin the sun!).
Formula simplified:
Q ≈ V × ΔT × k
where:
V—volume in liters.ΔT—temperature difference inside and outside.k—coefficient (1.2–1.5for automobile models).
Example: Refrigerator 40 l, cooling from +30°C to +5°C:
Q ≈ 40 × (30 - 5) × 1.3 ≈ 1 300 Wh ≈ 1.3 kWh
⚠️ Attention: Car refrigerators often indicate power consumption (45–60 W), but the actual cooling capacity is2–3 times lowerdue to low COP (about1–1.5). Take this into account when choosing a battery for power.
FAQ: Frequently asked questions about the amount of heat of a refrigerator
You can Is it possible to calculate Q without a technical passport?
Yes, but with less accuracy. Use:
- Experimental measurement of compressor operating time and power (with a wattmeter).
- Evaluation by energy efficiency class (for class
A+++dailyQ≈1–2 kWh, forD—3–5 kWh). - Calculators like CoolSelector2 (you will need to enter the chamber volume and temperature).
The error will be 20–40%, but this is enough for household diagnostics.
Why does the refrigerator consume more energy in the summer, even if Q has not changed?
The quantity allocated heat (Qcold) may remain the same, but electricity consumption increases due to:
- Reductions COP (the compressor operates less efficiently at high condenser temperatures).
- Increasing compressor operating time (due to more frequent
Example: When +30°C in a room, the refrigerator spends 30% more energy to remove the same amount of heat as when +20°C.
How is the amount of heat related to the energy efficiency class?
Energy efficiency class (A+++, B etc.) shows how much electricity the refrigerator spends on removal the same amount of heat. For example:
- Class refrigerators
A+++spend≈1 kWhto remove3–4 kWhheat (COP ≈3–4). - Class
D—≈1 kWhon1.5–2 kWhheat (COP ≈1.5–2).
Thus, Q may be the same, but energy costs will be different.
Can the amount of heat be negative?
No, the amount of heat (Q) is scalar quantity, showing the amount of energy transferred. A negative value in calculations only means transfer direction (for example, heat given to the environment, and is not absorbed in the context of a refrigerator). data-i="465">always positive, since heat Qcold always positive because it's warm removed from the chamber.
How will Q change if a fan is placed in the refrigerator?
An additional fan (for example, for uniform cooling) increase the amount of heat will:
- Heat generated by the fan itself (
5–20 W). - Heat from more intense air mixing (heat exchange between products and the evaporator accelerates).
In total Q may increase on 5–15%, but the temperature in the chamber will become more uniform.