Heat pump basics · Cycles

Refrigeration & heat-pump cycle guide

Before you pick a compressor or refrigerant, you need a cycle family. This illustrated guide maps ideal references (reverse Carnot), gas cycles (reverse Brayton), the industry workhorse (subcritical vapor compression) and its upgrades, transcritical CO₂, absorption, and open steam/MVR—with flow, P–h, and T–s reading tips. Pair with Fundamentals Part 2 (why ΔT forces variants) and the homepage HTHP configs (a)–(i).

0 · Cycle families & how to read the charts

Cycles are the system grammar. Components (compressor, HX, valves) are vocabulary—you need both. Start here so later chapters share one map.

Cycle family map
Orientation only—boundaries overlap by fluid and duty. Power-side cousins (ORC, Brayton engines) are marked but not taught as full chapters here.

Flow diagram

Shows what connects to what: compressors, heat exchangers, expanders/valves, vessels. Best for plant conversation and P&ID intuition.

P–h diagram

Pressure vs enthalpy. Read capacity and power as Δh, see throttle as nearly vertical (h≈const), and spot subcooling / superheat. Default language for VCC and CO₂ packs.

T–s diagram

Temperature vs entropy. Best for Carnot distance and irreversibility—why real cycles cannot fill the ideal rectangle.

Same physics, different “useful” side

A chiller and a heat pump can share the same vapor-compression loop. Cooling counts evaporator kW; heating counts condenser (or gas-cooler) kW. Always state source and sink.

1 · Reverse Carnot — the theoretical ceiling

Reverse Carnot is not a machine you buy. It is the upper bound on COP for given cold and hot temperatures—and the reason large lift forces different real cycles.

Reverse Carnot on T–s
Two isotherms + two reversible adiabats. Real plants never achieve this rectangle.
Carnot versus real cycle
Finite heat-exchanger ΔT, throttle instead of isentropic expansion, and compressor irreversibility shrink the useful area.

COP intuition

Cooling: COPc = Tc / (Th − Tc). Heating: COPh = Th / (Th − Tc) (absolute temperatures). Larger lift → lower ceiling—no marketing brochure can repeal this.

Why boilers feel “simple”

A boiler makes heat; it does not fight a Carnot gap between source and sink. Heat pumps move heat across that gap—see Part 2 · Cognition.

Engineering use of the ideal

Use Carnot as a sanity check: if a quoted COP sits above the reverse-Carnot limit for your Tc/Th, the boundary conditions are wrong—not “better technology.”

2 · Reverse Brayton — gas cycle, no phase change

Reverse Brayton (Bell-Coleman / air cycle) stays in the gas phase: compressor → heat rejector → expander → heat absorber. No condenser or evaporator two-phase.

Reverse Brayton schematic
Net work = compressor work − expander recovery. T–s looks like two isentropics and two isobars—not a Carnot rectangle.

Where it appears

Aircraft environmental control, some cryogenic / air-cycle coolers, specialty gas processes. Occasional R&D mentions next to Stirling for exotic HTHP paths—not the industrial HP default.

Why it is rare as an industrial HP core

Without latent heat, you need large mass flow and heat-exchanger area for the same capacity; specific work and volume grow fast. Phase-change VCC usually wins on hardware density.

Do not confuse with power Brayton

Gas turbines run the forward Brayton cycle (produce work). Reverse Brayton consumes work to move heat. Same family name, opposite purpose.

3 · Subcritical vapor compression — the industry workhorse

Most chillers and heat pumps you meet are subcritical vapor-compression cycles (VCC): evaporate → compress → condense → throttle. Pressures stay below the fluid’s critical pressure on the high side.

Basic VCC flow
Schematic only—real plants add oil separators, receivers, and controls. Component deep-dives: compressor, heat exchangers, valves, vessels.
Subcritical VCC on P–h
Read Δh for evaporator and condenser capacity; the nearly vertical 3→4 line is throttle loss versus an ideal expander.

Four processes ↔ four hardware roles

1→2 compression (compressor) · 2→3 heat rejection (condenser / desuperheat + subcool) · 3→4 expansion (valve or orifice) · 4→1 heat absorption (evaporator). Homepage config (a) Basic VCHP.

What P–h highlights

Superheat at suction, subcooling before the valve, compressor departure from isentropic, and how much enthalpy the throttle “throws away.” Those gaps drive economizers and staging.

Heating vs cooling is a bookkeeping choice

The loop is the same. Contracts must say whether kW means evaporator or condenser—and at which water/air temperatures. See also Part 3 · Pricing.

When single-stage hits the wall

Large ΔT raises pressure ratio and discharge temperature. Oil, seals, and maps fail before “marketing COP” does—enter Chapter 4 upgrades.

4 · Upgrades — economizer, two-stage, cascade

Same VCC physics, different staging. Names align with homepage HTHP configs (b)–(f) so toolbox calculators and this guide share one vocabulary.

Economizer cycle
Economizer / IHX (configs b, c): flash tank or heat-exchanger economizer cools liquid and/or injects vapor—lower discharge temperature, better high-lift COP. Cost: vessel/HX, oil, and control.
Two-stage compression
Two-stage (config e): split the pressure ratio across two compressors with intercooling. Strong for large lift; pay in machines, oil return, and logic.
Cascade cycle
Cascade (config f): two fluids, two oil circuits, thermally coupled by a cascade HX. Extreme-cold CO₂ practice: Fundamentals Part 1.

Pick the upgrade for the pain

Discharge temperature / mild lift → economizer or injection. Large single-fluid lift → two-stage. Source and sink that no one fluid spans safely → cascade.

Ejector + IHX (config d)

Uses expansion work recovery via an ejector plus internal HX—another VCC upgrade family. See homepage config (d) when comparing proposals.

Cost is not only CAPEX

Every extra vessel and stage adds leak points, oil inventory, sensors, and commissioning hours. Reliability often decides before a spreadsheet COP delta.

5 · Transcritical CO₂ — gas cooler, not condenser

When high-side pressure sits above the critical pressure, there is no two-phase condensation. Heat rejection happens in a gas cooler; exit temperature—not a “condensing temperature”—sets much of the performance.

Transcritical CO₂ P–h
Ph is an optimization variable. Gas-cooler exit temperature strongly drives heating capacity and COP.
Mode High-side behavior Pressure class (order) Typical use
Subcritical CO₂Two-phase condenser possibleStill high vs many HFCsLimited bands; often cascade LT stage
Transcritical CO₂Gas cooler · no condensationOften ~80–120+ bar classHot water, commercial packs, some HP
CO₂ cascade (severe cold)LT CO₂ + HT fluid loopsLT high; HT per fluidExtreme-cold heating — Part 1

Language trap

Do not write “condensing temperature” into a transcritical duty sheet. Specify gas-cooler pressure and exit temperature (and sink inlet).

Control & maps

Optimal high pressure moves with gas-cooler exit temperature. OEM maps and controllers matter as much as heat-exchanger catalogues—see heat-exchanger guide (gas cooler vs condenser).

Fluid context

R744 selection, safety, and policy context: refrigerant guide. Standards pointer: GB/T 29707-class transcritical CO₂ heat-pump water heaters on Tools & Standards.

6 · Absorption — heat-driven “thermal compressor”

Absorption replaces the electric vapor compressor with a solution loop: generator (heat in) → condenser → evaporator → absorber → solution pump. Small pump work, large heat input.

Absorption cycle
Common pairs: H₂O–LiBr, NH₃–H₂O. COP definitions differ from VCC—align proposal language carefully.

When it wins

Abundant waste heat or steam, scarce or expensive power, or sites that prefer thermal integration over large electrical demand.

Boundaries

Crystallization (LiBr), vacuum integrity, corrosion, and maintenance culture. Not a drop-in substitute for a screw chiller without process and O&M review.

Hybrids

IIR-style roadmaps also cite absorption–compression hybrids—see Industrial HTHP column and standards notes.

7 · Open steam compression / MVR

Here the working fluid is water vapor. A steam compressor (or MVR package) raises flash or process steam pressure for reuse—central to boiler-displacement narratives.

Open steam compression
Homepage configs (g)/(h)/(i). Deep context: Industrial HTHP column.

Open-loop implications

Steam may leave with the product. Design makeup water, condensate recovery, and contamination (including oil) together with the compressor block.

Steam quality & turndown

Process cares about dryness, pressure stability, and part-load hours—not only a peak COP. Couple the heat-pump block with steam headers and controls.

Cascade + flash variants

Configs (h)/(i) combine cascade with flash or open steam—use when a single open loop cannot hit both source recovery and steam-grade sink.

8 · Selection map — ΔT & duty → cycle family

Start from temperature lift and sink type, then fluid and site constraints. The table is a first filter—not a substitute for OEM maps or process simulation.

Lift / situation Typical cycle Fluid hints On this site
Small ΔTSingle-stage VCCMany HFC/HFO/HC; ammoniaConfig (a) · compressor guide
Medium ΔT / high discharge riskEconomizer / IHX / injectionPer compressor mapConfigs (b)–(d)
Large ΔT, one fluid preferredTwo-stage VCCIndustrial screws commonConfig (e)
Very large span / severe coldCascadeOften CO₂ LT + HT fluidConfig (f) · Part 1 CO₂
Hot water with R744 high sideTranscritical CO₂R744 gas coolerChapter 5 · refrigerants
Waste heat available, power scarceAbsorption (± hybrid)H₂O–LiBr / NH₃–H₂OChapter 6 · HTHP column
Steam-grade sinkOpen steam / MVR / flash cascadeR718 / steamConfigs (g)–(i) · HTHP

Always lock source/sink temperatures, fluid safety class, and contract kW definition before comparing quotes. Gas-cycle Brayton remains a niche exception—not a default industrial HP path.

Next: pick hardware with the compressor, heat exchanger, and refrigerant guides—or jump to toolbox configs.

Quick FAQs

“Is reverse Carnot a product I can specify?”

No. It is a theoretical limit. Real machines are VCC, Brayton, absorption, etc., always below that COP ceiling for the same Tc/Th.

“Are refrigeration and heat-pump cycles different machines?”

Often the same loop with different useful-side bookkeeping and different Te/Tc. Industrial heat pumps usually run higher sink temperatures—so maps and staging change even when the cycle name stays “vapor compression.”

“Transcritical vs supercritical—same thing?”

In plant talk, “transcritical CO₂” usually means the high side is above critical pressure with a gas cooler. “Supercritical” is used more loosely in R&D; ask for Ph, gas-cooler exit T, and whether condensation exists.

“Why not always use reverse Brayton for simplicity—no phase change?”

No latent heat means larger flow and exchangers for the same kW. Industrial heat pumps almost always prefer phase-change VCC unless a specialty gas duty forces otherwise.

“Where do I go after choosing a cycle family?”

Fluid: refrigerant guide. Machines: compressor / HX / valves / vessels guides. Industrial steam narrative: HTHP column. Config calculators: homepage toolbox.

Schematics and COP formulas are engineering orientation only—not design calculations, OEM map substitutes, or safety-code advice. Confirm fluids, pressures, and envelopes with qualified design and type-test data.