Machine Learning-Assisted Surrogate Modeling with Multi-Objective Optimization and Decision-Making of a Steam Methane Reforming Reactor

📅 2025-07-10
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Steam methane reforming (SMR) reactor multi-objective optimization faces high computational cost and inherent trade-offs among conflicting objectives—e.g., methane conversion, hydrogen production rate, and CO₂ emissions. Method: This paper proposes an integrated framework comprising mechanistic modeling, data-driven surrogate modeling, multi-objective optimization, and decision-making support. An artificial neural network (ANN)-hybrid surrogate model replaces computationally expensive high-fidelity 1D fixed-bed simulations; non-dominated sorting genetic algorithm II (NSGA-II) efficiently computes the Pareto-optimal front; and a dual-criteria decision strategy—combining Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and stochastic PROBID (sPROBID)—supports optimal operating condition selection. Contribution/Results: The surrogate model reduces average simulation time by 93.8%. The identified Pareto-optimal solution achieves methane conversion of 0.988, H₂ production of 3.335 mol/s, and CO₂ emissions of 0.781 mol/s—demonstrating substantial gains in optimization efficiency and engineering applicability.

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📝 Abstract
This study presents an integrated modeling and optimization framework for a steam methane reforming (SMR) reactor, combining a mathematical model, artificial neural network (ANN)-based hybrid modeling, advanced multi-objective optimization (MOO) and multi-criteria decision-making (MCDM) techniques. A one-dimensional fixed-bed reactor model accounting for internal mass transfer resistance was employed to simulate reactor performance. To reduce the high computational cost of the mathematical model, a hybrid ANN surrogate was constructed, achieving a 93.8% reduction in average simulation time while maintaining high predictive accuracy. The hybrid model was then embedded into three MOO scenarios using the non-dominated sorting genetic algorithm II (NSGA-II) solver: 1) maximizing methane conversion and hydrogen output; 2) maximizing hydrogen output while minimizing carbon dioxide emissions; and 3) a combined three-objective case. The optimal trade-off solutions were further ranked and selected using two MCDM methods: technique for order of preference by similarity to ideal solution (TOPSIS) and simplified preference ranking on the basis of ideal-average distance (sPROBID). Optimal results include a methane conversion of 0.863 with 4.556 mol/s hydrogen output in the first case, and 0.988 methane conversion with 3.335 mol/s hydrogen and 0.781 mol/s carbon dioxide in the third. This comprehensive methodology offers a scalable and effective strategy for optimizing complex catalytic reactor systems with multiple, often conflicting, objectives.
Problem

Research questions and friction points this paper is trying to address.

Optimizing steam methane reforming reactor performance with machine learning
Reducing computational cost via hybrid ANN surrogate modeling
Balancing multiple conflicting objectives using MOO and MCDM techniques
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hybrid ANN surrogate reduces computational cost
NSGA-II enables multi-objective optimization scenarios
TOPSIS and sPROBID rank optimal trade-off solutions
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Seyed Reza Nabavi
Department of Applied Chemistry, Faculty of Chemistry, University of Mazandaran, Babolsar, 47416-95447, Iran
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Zonglin Guo
School of Electrical and Electronic Engineering, Shanghai Institute of Technology, Shanghai 201418, China
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Zhiyuan Wang
School of Business, Singapore University of Social Sciences, Singapore 599494, Singapore