Artificial Neural Network Surrogate for Entropy Generation Analysis in PCM-Based Thermal Energy Storage

Latent heat thermal energy storage (LHTES) systems based on phase change materials (PCMs) are central to improving energy efficiency in solar–thermal, waste-heat recovery, and building energy management applications; however, minimizing the thermodynamic losses that degrade their exergetic performance requires fast and accurate prediction of entropy generation across wide operating envelopes. This study develops a coupled numerical–surrogate framework for predicting entropy generation during one-dimensional conduction-dominated melting of a PCM slab. An explicit finite-difference enthalpy solver is formulated in fully dimensionless variables governed by five independent parameters: the Stefan number (Ste), Biot number (Bi), initial subcooling (θi), dimensionless temperature difference (Π), and solid-to-liquid conductivity ratio (rk). The solver is verified against the analytical Neumann solution, achieving mean front-position errors below 0.7%. A Latin Hypercube Sampling campaign of 400 parameter combinations yields 378 converged cases spanning nearly three orders of magnitude in the entropy generation number Ns. A compact multilayer perceptron (5→64→64→32→1; 6657 parameters) trained on these data reproduces Ns with a test-set coefficient of determination R2=0.991 and a mean absolute percentage error of 5.73% while delivering a speed-up of approximately four orders of magnitude over the full solver. A global sensitivity analysis reveals that the dimensionless temperature difference Π is the dominant driver of entropy generation (Spearman ρ=+0.80), followed by the Stefan number (ρ=−0.51) and the Biot number (ρ=+0.25), whereas initial subcooling and conductivity ratio exert only marginal influence. The framework enables rapid, second-law-aware screening of PCM operating conditions, supporting energy-efficient design and optimization of thermal energy storage systems.

Authors

Institutions

Publication Details

Journal
Energies
Published
2026-10-30
DOI
https://doi.org/10.3390/en19215164
Primary Topic
Phase Change Materials Research
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Artificial Neural Network Surrogate for Entropy Generation Analysis in PCM-Based Thermal Energy Storage

Łukasz Łach
1 links
Energies
Phase Change Materials Research
article

Artificial Neural Network Surrogate for Entropy Generation Analysis in PCM-Based Thermal Energy Storage

Łukasz Łach
article en

Abstract

Latent heat thermal energy storage (LHTES) systems based on phase change materials (PCMs) are central to improving energy efficiency in solar–thermal, waste-heat recovery, and building energy management applications; however, minimizing the thermodynamic losses that degrade their exergetic performance requires fast and accurate prediction of entropy generation across wide operating envelopes. This study develops a coupled numerical–surrogate framework for predicting entropy generation during one-dimensional conduction-dominated melting of a PCM slab. An explicit finite-difference enthalpy solver is formulated in fully dimensionless variables governed by five independent parameters: the Stefan number (Ste), Biot number (Bi), initial subcooling (θi), dimensionless temperature difference (Π), and solid-to-liquid conductivity ratio (rk). The solver is verified against the analytical Neumann solution, achieving mean front-position errors below 0.7%. A Latin Hypercube Sampling campaign of 400 parameter combinations yields 378 converged cases spanning nearly three orders of magnitude in the entropy generation number Ns. A compact multilayer perceptron (5→64→64→32→1; 6657 parameters) trained on these data reproduces Ns with a test-set coefficient of determination R2=0.991 and a mean absolute percentage error of 5.73% while delivering a speed-up of approximately four orders of magnitude over the full solver. A global sensitivity analysis reveals that the dimensionless temperature difference Π is the dominant driver of entropy generation (Spearman ρ=+0.80), followed by the Stefan number (ρ=−0.51) and the Biot number (ρ=+0.25), whereas initial subcooling and conductivity ratio exert only marginal influence. The framework enables rapid, second-law-aware screening of PCM operating conditions, supporting energy-efficient design and optimization of thermal energy storage systems.

EnergiesVol. 19(21)
AGH University of Krakow (PL)
Ministry of Science and Higher Education of the Russian Federation
Affordable and clean energy
Openalex Percentile: Top 23%
Phase Change Materials Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon