- Published on 19 Aug 15. a. Heater size is measured in BTU output. The COP of the refrigerator and air-conditioner can be less than one or greater than one. The vapour is dry saturated at inlet to the compressor. Heat Pump A heat pump is a device which applies external work to extract an amount of heat Q C from a cold reservoir and delivers heat Q H to a hot reservoir. Heat Pump (Total Cost) = Initial Cost Of Heat Pump + Electricity Costs . In the equation, Q is the useful heat supplied by the heat pump, and W is the energy required to operate the heat pump. The COP of air-source heat-pump pool heaters is highly dependent on operating conditions, especially outside ambient air temperature. A heat pump deliver 50000 Btu/h with a total input of 7 kW: COP = (50000 Btu/h) / (3413 (7 kW)) = 2.1. [COP] ref = Desired effect / Work input [COP] ref = Q2 / W [COP] H.P And in heat pump, the desired effect is to maintain temperature of the body B more than the surrounding temperature. Using Them to Heat and Cool. Conventional heat pumps have COP of 2 - 5, delivering 2 to 5 times the energy they consume. Je höher ihr Betrag ist, umso sparsamer arbeitet eine Wärmepumpe. So, COP R = Q C over W ref. What is COP : definition and formula. Heat pumps are systems that are characterized by the high output/input ratio. b. The plant is to deliver 40 kW of heat. Calculate the thermal advantage (Coefficient of Performance) for the heat pump. The COP of a heat pump generally measures between 5 and 6, which translates to an efficiency rate between 500% and 600%. = Desired effect / Work input [COP] H.P = Q1 / W and the work input is given by, W = Q1 – Q2 From the equations of [COP] ref and [COP] H.P, The real question is, does the lower running electricity costs justify the higher initial cost of a high HSPF heat pump. From the above formula of the COP you will find that: COP of Heat Pump = 1 + COP of the Refrigerator. The higher the number the less it will cost to operate. High Temperature Coefficient of Performance, COP 6. A heat pump deliver 60000 Btu/h with a total electric input of 9 kW: COP = (60000 Btu/h) / (3413 (9 kW)) = 1.95. COP=Q/W. A heat pump generally comprises four key components which include a condenser, a compressor, an expansion valve and an evaporator. First, since the efficiency of any heat engine is less than 1, it means that COP hp is always greater than 1—that is, a heat pump always has more heat transfer Q h than work put into it. COP of a Heat Pump Used for Home Heating 8 pts; At steady-state, a house loses 10 kW of heat to the surroundings when the outdoor temperature is 0 o C and the indoor temperature is 22 o C. This energy must be replaced by a heat pump that uses R-134a as the working fluid. Next we use the 1st Law to eliminate Wref from the equation. ); marco.fossa@unige.it (M.F.) All irreversible refrigerators or heat pumps working between the same two reservoirs have lower COPs. η REV = 1- (T 2 /T 1). Thermodynamic heat pump cycles or refrigeration cycles are the conceptual and mathematical models for heat pump, air conditioning and refrigeration systems. Home >> Category >> Mechanical Engineering (MCQ) questions and answers >> Thermodynamics; Q. Simultaneous Cooling and Heating Efficiency (SCHE) (50% heating/50% cooling). Compare it with a boiler running at 90% thermal efficiency. Modelling Heat Pumps with Variable EER and COP in EnergyPlus: A Case Study Applied to Ground Source and Heat Recovery Heat Pump Systems Antonella Priarone *, Federico Silenzi and Marco Fossa DIME, University of Genova, Via all’Opera Pia 15a, 16145 Genova, Italy; federico.silenzi@edu.unige.it (F.S. The heat pump cycle uses an ideal cycle with an evaporator at 5oC and a condenser at 12.19 bar. COP das Verhältnis der abgegebenen Heizleistung einer Wärmepumpe zur aufgewendeten elektrischen Leistung des Verdichters an. It is possible to use heat pumps to keep your home warm in the winter months, as well as heat your hot water. Der COP (Coefficient of Performance) ist eine Kennzahl für die Effizienz einer Wärmepumpe. BTU stands for British Thermal Unit and is standard for measuring heating capacity. This mean that for 1 W of electric energy heat pump transfer from the ground 3 W of geothermal additional energy which if we neglect loses is equal to the 4 W of thermal energy. The COP for heat pumps tends to range from 3.2 to 5.2, depending on the same criteria as before. heat pumps is relatively high and its activity occurs more often without any rela-tion to weather conditions compared to air source heat pumps. The additional heat is generated by the compressor. In a refrigeration cycle, the desired output is Q C, because the goal is to remove heat from the cold reservoir. This means that 2 kW of cooling power is achieved for each kW of power consumed by the pump’s compressor. ANSWER: [COP] H. P. = Q1 / W . Each watt of power consumed produces 1 Watt of heat. The result is a useful equation for calculating the COP R. In refrigerators and heat pumps the performance is measured by COP which is desired effect divided by the net work done. Heat pumps transfer heat from cold body to a hot body by the expense of mechanical energy supplied to it by an external agent. COP R,rev (or COP HP,rev) is the highest COP a refrigerator (or a heat pump) which operates between a high-temperature reservoir at temperature T H and a low-temperature reservoir at temperature T L can reach. COP = Output heating or cooling in Wh / input electrical energy in Wh Note that for cooling system it is better to use EER coefficient. d. [COP] H. P. = W / Q2. Example – Heat Pump – Heating and Air Conditioning. Heating Cycle . COP is indicated without units. Hence for a reversible heat engine. A typical heat pump will have a COP of approximately 6.0 when the … COP stands for Coefficient of Performance and is frequently used with heat pumps. Methods 2.1 Coefficient of performance (COP) of heat pump The formula of ideal heat pump COP: 1H L H L H L T TCOP T T T T = = + − − (1) Where TH is the temperature of the heat sink, that is, the condensation side temperature, K; TL is the temperature of the heat source, that is, the temperature of the evaporation side,K. COP = Coefficient of Performance, ratio used to evaluate efficiency of heating or cooling systems. Sie beschreibt das Verhältnis aus nutzbarer und aufgebrachter Energie. These calculators offer various variables and it is a good idea to try them all to get a good idea of what is involved in calculating heat pump requirements. Heat Pump Calculators. The higher the air temperature, the higher the COP. f. For VRF Multi-Split Heat Pump Systems that Use a … Heat pump and refrigerator are two names of the same device.. The COP of an air source heat pump decreases as the outside temperature drops. When we use this device to remove heat then it is called a refrigerator and when we use this device to obtain heat then it is called a heat pump. A heat pump is a mechanical system that allows for the transmission of heat from one location (the "source") at a lower temperature to another location (the "sink" or "heat sink") at a higher temperature. However, they can also be used to keep everything nice and cool in the summer. For a heat pump a COP value of 4 means that the addition of 1 kW of electric energy is needed to have a release of 4 kW of heat at the condensor. The heat source temperature and its constancy during a year depend very strongly on the type of heat source. Example - COP Heat Pump Cooling Cycle. Low Temperature Heating Standard Rating Capacity, Btu/h [W] 7. The working substance used in these components is called refrigerant. In technical formula, COP is written as Q/W, where Q is the heat generated and W is the power used. The objective of using a heat pump calculator is to determine the size, cost and eventual cost savings of the heat pump system you will need based on your heating requirements. COP measures how many times more efficient the heat pump is than electric resistance heat with an efficiency of 100%. COP = 500 q dt / 3143 P (1) where . At the evaporator side 3,0-3,5 kW of heat is extracted. What is correct formula for calculating COP of heat pump? Low Temperature Coefficient of Performance, COP e. For VRF Multi-Split Heat Recovery Heat Pumps 1. Maximum COP . A reversible heat pump has a coefficient of performance, COP = 3.0, when operated in the heating mode.Its compressor consumes 1500 W of electric energy.. COP ratings range from 1.5 to 4 and performance is dependent upon where geographically they are installed. The relation between EER and COP is : EER = COP * 3.41 What is EER : definition and formula. Water and ground source heat pumps normally have COPs of 3-5 (Soltani et al., 2015). Der Wert wird allerdings im Labor gemessen, weshalb die tatsächliche Effizienz anders ausfallen kann. As can be seen, the COP of a heat pump system can be improved by reducing the temperature difference (T hot – T cold). 4,2 bedeutet, dass von der eingesetzten elektrischen Leistung des Kompressors das 4,2- fache an Wärmeleistung bereitgestellt wird. Example - Hot Water Radiator System. The required input is the work input, W ref. Keywords: Heat Pump, COP, System Integration, Generalized Model, Energy Efficiency, Economic 1. Therefore, the produced heat and the supplied power employ the same units during COP calculation. Eine Leistungszahl von z. Wärmepumpen. The cold body is cooled more and more. Calculate the amount of heat (Q hot) the heat pump can add to a room?If the heat pump were turned to the cooling mode (i.e. COP may also be used for domestic heating. Maximum theoretical efficiency for a heating process is. Fluid … Assuming 5KW is the heat output by the heat pump. But in reality the best systems are around 4.5. And that it generates this by using 2kW of electrical energy and 3kW of energy from outside air. INTRODUCTION To minimize CO 2 emissions from heat and power productions, the future energy system will to a large extend be based on electrical power from renewable sources as hydro, wind, and solar power. Coefficient of Performance (COP) of Heat pump and Refrigerator. Related Content. Then the COP of the heat pump will be 2.5. Some of you have requested an HSPF calculation that could explain that (and we’ve prepared it). Outside air shows the widest bandwidth with 36 K and an average temperature of 2.8 °C. What is a BTU? [COP] H. P. = Q2 / W. c. [COP] H. P. = W / Q1. The above formula also shows that the COP of the heat pump can never … [COP] H. P. = Q1 / W . Read a full explanation and download a calculation template to use in your application for the Domestic Renewable Heat Incentive. Here’s the formula to calculate it for yourself, EER = .875 x SEER. Average input energy is equal to ¼ of the output energy. Assume evaporator effluent is a saturated vapor and the condenser effluent is a saturated liquid. Bei elektrischen Wärmepumpen (WP) mit Kältemittel gibt die Leistungszahl bzw. The condenser produces liquid at 45oC. Air source heat pumps generally have COPs ranging from 2 to 4, indicating that they deliver 2-4 times more thermal energy than they consume in terms of electrical energy. The Seasonal Performance Factor (SPF) is a measure of how energy efficient your heat pump is. B. Ratings Appropriate in (c) and (d) above 2. Formula for COP of heat pump - Thermodynamics. Therefore, [COP] H.P. 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