A physically structured hybrid model predicts chiller performance under conformal uncertainty and protection events

Abstract Online optimisation of vapour-compression chillers requires compact models that remain reliable when setpoints, equipment condition, sensor availability and protection logic change. This paper develops a physics-structured hybrid quasi-steady surrogate (PSHQ). Learned heads predict compressor power and outlet-water temperatures; evaporator cooling capacity, condenser heat rejection and $$\\text{C}\\text{O}\\text{P}$$ are reconstructed through fixed water-side relations. The reference PSHQ gives a compressor-power $$\\text{M}\\text{A}\\text{E}$$ of 0.0224 kW and $${R}^{2}$$ of 0.963 on stratified validation. A no-retraining scope audit shows that including non-steady interpolation records increases the five reported $$\\text{M}\\text{A}\\text{E}$$ s by 2.04–4.62 times. Controller-confirmed short-cycle, anti-freeze and high-pressure event wrappers reduce power $$\\text{M}\\text{A}\\text{E}$$ by 67–86% relative to the uncorrected steady predictor. An added-constraint extension lowers energy-residual $$\\text{M}\\text{A}\\text{E}$$ from 0.1069 to 0.0962 kW and gives a five-channel mean $$\\text{M}\\text{A}\\text{E}$$ ratio of 0.966 (95% $$\\text{C}\\text{I}$$ : 0.947–0.977). On the independent RP-1043 test runs, $${R}^{2}$$ ranges from 0.9813 to 0.9974 across the five outputs. A complete-day Day-8 test gives $${R}^{2}$$ values of 0.8479–0.9364 and split-conformal coverage of 0.8710–0.9220. PSHQ provides a calibrated and physics-informed framework for quasi-steady inference and protection-event handling across the tested operating envelopes.

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Publication Details

Journal
Scientific Reports
Published
2026-09-16
DOI
https://doi.org/10.1038/s41598-026-69395-5
Primary Topic
Refrigeration and Air Conditioning Technologies
Type
article
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article

A physically structured hybrid model predicts chiller performance under conformal uncertainty and protection events

Xiaohui Tian, Haoxiang Ma, Lin Zhang, Wenhua Zhang et al.
Scientific Reports
Refrigeration and Air Conditioning Technologies
article

A physically structured hybrid model predicts chiller performance under conformal uncertainty and protection events

Xiaohui Tian, Haoxiang Ma, Lin Zhang, Wenhua Zhang, Jiaxin Liu
article en

Abstract

Abstract Online optimisation of vapour-compression chillers requires compact models that remain reliable when setpoints, equipment condition, sensor availability and protection logic change. This paper develops a physics-structured hybrid quasi-steady surrogate (PSHQ). Learned heads predict compressor power and outlet-water temperatures; evaporator cooling capacity, condenser heat rejection and $$\text{C}\text{O}\text{P}$$ are reconstructed through fixed water-side relations. The reference PSHQ gives a compressor-power $$\text{M}\text{A}\text{E}$$ of 0.0224 kW and $${R}^{2}$$ of 0.963 on stratified validation. A no-retraining scope audit shows that including non-steady interpolation records increases the five reported $$\text{M}\text{A}\text{E}$$ s by 2.04–4.62 times. Controller-confirmed short-cycle, anti-freeze and high-pressure event wrappers reduce power $$\text{M}\text{A}\text{E}$$ by 67–86% relative to the uncorrected steady predictor. An added-constraint extension lowers energy-residual $$\text{M}\text{A}\text{E}$$ from 0.1069 to 0.0962 kW and gives a five-channel mean $$\text{M}\text{A}\text{E}$$ ratio of 0.966 (95% $$\text{C}\text{I}$$ : 0.947–0.977). On the independent RP-1043 test runs, $${R}^{2}$$ ranges from 0.9813 to 0.9974 across the five outputs. A complete-day Day-8 test gives $${R}^{2}$$ values of 0.8479–0.9364 and split-conformal coverage of 0.8710–0.9220. PSHQ provides a calibrated and physics-informed framework for quasi-steady inference and protection-event handling across the tested operating envelopes.

Scientific Reports
Affordable and clean energy
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Refrigeration and Air Conditioning Technologies
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