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Static & Safety Equipment · Heat-Pump Series 1/6

Heat pumps: the vapour-compression cycle, COP & the Carnot ceiling

A heat pump does not make heat โ€” it moves it, from somewhere cold to somewhere warm, spending a little work to do so. That single idea powers every fridge, air conditioner, chiller and building heat pump on the planet. This opening guide to our heat-pump series walks the four-component vapour-compression cycle, the refrigerant phase change that carries the heat, and why the temperature lift โ€” not the technology โ€” sets how efficient it can ever be, with an interactive COP-versus-lift model.

Vapour-compressionCOPCarnot ceilingSuperheatEN 14511
★ Heat-pump & refrigeration series
  1. 1. The cycle, COP & the Carnot ceiling — you are here
  2. 2. Types & systems: air/water/ground, mini-splits, VRF, large water-to-water
  3. 3. Cooling towers & heat rejection
  4. 4. Thermal storage: ice banks & chilled-water
  5. 5. Refrigerants: GWP, phase-downs & charging
  6. 6. Condition monitoring & failure modes
⚡ TL;DR

A heat pump runs a vapour-compression cycle: a refrigerant evaporates (absorbing heat from the cold source), is compressed (raising its pressure and temperature), condenses (releasing that heat to the warm sink), and passes through an expansion valve (dropping pressure to start again). The phase change carries most of the heat.

Efficiency is a ratio, not a percentage: the coefficient of performance COP = heat moved / work in. Because you're only paying to move heat, COP is typically 3โ€“5 โ€” one unit of electricity delivers three to five units of heat.

The ceiling is thermodynamic: the bigger the temperature lift (sink minus source), the lower the best-possible COP. A heat pump is a Carnot engine run backwards, and real machines reach roughly 40โ€“55 % of that ideal. The model below shows lift eating COP.

1 · Move heat, don't make it

An electric heater is 100 % efficient and that is its problem: every joule of electricity becomes one joule of heat, and no better. A heat pump breaks past 100 % โ€” not by cheating thermodynamics, but by not making the heat at all. It gathers heat that already exists in the outdoor air, the ground, a river or a waste stream, and pumps it uphill to where you want it. The electricity only drives the pump, so one unit in can deliver three, four or five units of heat out.

The trick is that heat flows downhill on its own โ€” from hot to cold โ€” but we want it to go uphill, from a cold source to a warm room. To reverse that natural direction you need a working fluid that can be made colder than the source (so heat flows into it) and then hotter than the sink (so heat flows out of it). A refrigerant, cycled between two pressures, does exactly that. A refrigerator, an air conditioner, a chiller and a building heat pump are the same machine โ€” they differ only in which side you care about, the hot or the cold.

2 · The vapour-compression cycle

Four components in a loop, connected by pipe carrying refrigerant. Two of them are heat exchangers (the evaporator and condenser); one adds energy (the compressor); one throttles pressure (the expansion device). Trace the refrigerant around once:

Interactive — the refrigeration cycle, drawn

Live P&ID
HIGH-PRESSURE SIDE LOW-PRESSURE SIDE CONDENSER high side · rejects heat heat out → to the sink EVAPORATOR low side · absorbs heat heat in ← from the source COMPRESSOR raises pressure work in (elec.) EXPANSION VALVE throttle · PRV 1 2 3 4
Where the refrigerant boils — the low-pressure side
Where it condenses — the high-pressure side
① Compressor in
โ€”ยฐC
superheated vapour · low P
② Compressor out
โ€”ยฐC
hot vapour · high P
③ Condenser out
โ€”ยฐC
subcooled liquid · high P
④ Valve out
โ€”ยฐC
liquid + vapour · low P
How to read it: follow the refrigerant clockwise โ€” it boils cold in the evaporator (state 4→1, low pressure), is compressed hot (1→2), condenses in the condenser giving up its heat (2→3, high pressure), then flashes cold through the valve (3→4) to start again. The compressor and expansion valve straddle the pressure divide. Hover any component for its job. State temperatures are illustrative (5 K superheat/subcooling assumed).
StageComponentWhat happens
1 → 2EvaporatorCold low-pressure refrigerant boils, absorbing heat from the source (air/water/ground). It leaves as a low-pressure vapour, slightly superheated. This is the "cold" side โ€” a fridge's freezer, an AC's indoor coil.
2 → 3CompressorThe vapour is compressed to high pressure. Compression raises its temperature well above the sink temperature. This is where the electrical work goes in โ€” the only energy you pay for.
3 → 4CondenserThe hot high-pressure vapour condenses back to liquid, releasing its latent heat to the warm sink (the room, the hot water, the cooling tower). It leaves as a liquid, slightly subcooled. This is the "hot" side โ€” a fridge's back coils, a heat pump's indoor unit.
4 → 1Expansion valveThe liquid is throttled through a small orifice, dropping to low pressure. The sudden pressure drop flash-cools it โ€” some flashes to vapour and the rest chills to below the source temperature, ready to boil again.

The heavy lifting is done by phase change, not by warming the fluid. Boiling a liquid absorbs a large "latent" heat at constant temperature; condensing it releases the same. That is why the refrigerant runs at two roughly-constant temperatures (cold in the evaporator, hot in the condenser) rather than sliding continuously โ€” and why a small mass flow can shift a large heat duty.

Where the heat exchangers come in. The evaporator and condenser are just heat exchangers โ€” and everything in that guide applies: counter-flow, approach temperature, and the fouling that quietly raises the lift the compressor has to fight. A fouled condenser is one of the most common reasons a heat pump's COP drifts down in service.

3 · COP: efficiency as a ratio

Because a heat pump moves heat rather than converting fuel, its performance is a ratio that can exceed one โ€” so we never call it "efficiency". We call it the coefficient of performance:

COPheating = Qhot / W    COPcooling (EER) = Qcold / W Qhot = heat delivered to the sink (condenser). Qcold = heat removed from the source (evaporator). W = compressor work. By energy balance Qhot = Qcold + W, so the two COPs differ by exactly 1: COPheating = COPcooling + 1. The same machine is a slightly better heater than it is a cooler.

A COP of 4 means one kilowatt of electricity delivers four kilowatts of heat: three of them pumped up from the free source, one from the electricity itself. That is why heat pumps beat any combustion boiler on primary energy and carbon โ€” and why the cooling world quotes the same idea as EER (energy efficiency ratio) or the seasonal SEER/SCOP, which average performance over a year of varying conditions rather than one design point.

4 · The Carnot ceiling — lift sets the limit

No heat pump can beat a thermodynamic ceiling set only by the two temperatures it works between โ€” the same limit Carnot found for engines, run in reverse. In absolute temperature (kelvin):

COPCarnot, heating = Thot / (Thot − Tcold) Thot, Tcold in kelvin (ยฐC + 273). The denominator is the temperature lift. As lift → 0 the COP → infinity (moving heat across no gap is free); as lift grows, COP collapses. Real machines reach a fraction of this โ€” typically 40โ€“55 %, the "Carnot efficiency" โ€” because of compressor losses, pressure drops, superheat, and the approach temperatures in the heat exchangers.

This is the single most important idea in the whole series, because it explains almost every design and maintenance decision downstream: keep the lift small. Every degree you can raise the source, or lower the sink, buys COP directly. It is why ground-source beats air-source in a cold snap (the ground stays warmer than winter air), why oversizing the heat exchangers pays back in efficiency, why a fouled condenser or a plugged filter hurts so much โ€” and why cooling towers, the next-but-one guide, exist purely to hold the sink temperature down. Try it:

Interactive — COP versus temperature lift

Live model
Outdoor air, ground loop, river, waste heat
Radiators ~45โ€“55, underfloor ~35, hot water ~60
Fraction of ideal a real machine reaches
Temperature lift
โ€”K
Thot โˆ’ Tcold
Carnot COP
โ€”
heating, ideal ceiling
Real COP (heat)
โ€”
ฮท ร— Carnot
Real EER (cool)
โ€”
= COP โˆ’ 1
Real COP as the lift grows
Small lift is cheap; big lift is punishing
real COPthis point
Where the delivered heat comes from
1 unit electricity + free source heat
from source (free)from electricity
Model: COPCarnot,heating = Thot/(Thotโˆ’Tcold) in kelvin; real COP = ฮท ยท Carnot; EER = COP โˆ’ 1. The stacked bar splits one unit of delivered heat into the electricity paid for (1/COP) and the source heat lifted for free (1 โˆ’ 1/COP). Illustrative โ€” real machines also lose to superheat, subcooling, pressure drop and heat-exchanger approach, all folded into ฮท.

5 · Superheat & subcooling — the two vital signs

Two small temperature measurements tell you almost everything about a running cycle's health and charge, and they reappear in the monitoring guide as leading fault indicators:

Together, superheat and subcooling are how a technician charges and diagnoses a system without opening it โ€” and, streamed continuously, they are exactly the kind of signal a condition-monitoring platform trends toward an alarm long before a failure.

6 · Heating, cooling & the reversing valve

Because the cycle is symmetric, one machine can do both jobs. A reversing valve (a four-way valve) swaps which coil is the evaporator and which is the condenser, flipping the direction heat is pumped. In cooling mode the indoor coil is the evaporator (absorbing heat from the room); in heating mode it becomes the condenser (releasing heat to the room), and the outdoor coil takes over as evaporator. Everything else โ€” compressor, expansion device, refrigerant โ€” is unchanged. That is the whole secret of a reversible air conditioner or an air-source heat pump: one loop, a valve, two seasons.

The only asymmetry is the source. In summer the outdoor air is a convenient hot sink to dump into; in a hard winter it is a cold, sometimes frosting, source to scavenge from โ€” and the colder it gets, the bigger the lift and the lower the COP, exactly as the model shows. Managing that winter source is why ground-source, water-source and hybrid systems exist, which is where the next guide picks up.

Key takeaways

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