❄️

Cascaded Refrigeration Calculator

GPSA Ch. 14

Cascaded Refrigeration Calculator
Sizes multi-stage and cascaded refrigeration systems for gas processing applications. Calculates optimal interstage temperatures, compressor power per stage, coefficient of performance (COP) improvement, and power savings compared to single-stage operation per GPSA Ch. 14. Supports propane, ethylene, ethane, and methane refrigerant cascades for cryogenic NGL recovery.
GPSA Ch. 14
Calculation Mode:
Design: Size cascaded refrigeration system from cooling duty and temperature requirements.

System Configuration

MMBTU/hr
°F
°F
%
°F

Stage 1 (High Temperature)

Stage 2 (Low Temperature)

Typical Cascaded Refrigeration Parameters

Parameter Range
Propane Evaporator−40 to +40°F
Ethylene Evaporator−150 to −50°F
Methane Evaporator−260 to −150°F
Cascade Approach5–10°F
COP (2-stage cascade)1.5–3.0

Engineering Basis

Coefficient of Performance (COP):

COP = QL / Wnet

Where QL = cooling duty at the evaporator, Wnet = total compressor power input across all stages.

Optimal Interstage Temperature:

Tinter = √(Thot × Tcold)

Geometric mean of absolute condenser and evaporator temperatures minimizes total compressor work for equal compression ratios per stage.

Cascade Advantage: By splitting the total temperature lift across multiple refrigerants, each compressor operates at a lower compression ratio. This reduces discharge temperatures, improves volumetric efficiency, and significantly reduces total power consumption compared to single-stage operation.

Power Savings: A 2-stage cascade typically saves 20–35% compressor power vs single-stage over the same temperature range.

Design Guidelines

Refrigerant Selection: Propane is the standard high-stage refrigerant (to −40°F). Ethylene or ethane covers the mid-range (−150 to −50°F). Methane is used for cryogenic duty below −150°F.
Cascade Approach: The temperature difference between the condenser of the low-stage and the evaporator of the high-stage. Typical values are 5–10°F; smaller approaches improve COP but increase exchanger size.
Compression Ratio: Each stage should have a compression ratio below 4:1 to maintain acceptable discharge temperatures and volumetric efficiency.