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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.

Frequently Asked Questions

What is cascaded refrigeration in gas processing?

Cascaded refrigeration uses multiple refrigeration stages with different refrigerants to achieve progressively lower temperatures. This calculator sizes multi-stage systems and calculates COP improvement and power savings vs. single-stage per GPSA Ch. 14.

What refrigerants are used in cascaded systems?

Cascaded systems typically use propane for the high-temperature stage, ethylene or ethane for intermediate cooling, and methane for cryogenic temperatures. Each refrigerant operates in its efficient boiling range per GPSA Ch. 14.

How does cascading improve refrigeration efficiency?

Cascading reduces the compression ratio per stage, lowering compressor discharge temperatures and improving the coefficient of performance (COP). The calculator compares multi-stage power consumption against equivalent single-stage operation.

What temperatures can cascaded refrigeration achieve?

Cascaded systems can reach cryogenic temperatures below -150°F (-100°C) for deep NGL recovery. The calculator supports up to three stages with user-defined temperature levels for each cascade stage.