<p>The steel industry urgently needs efficient waste heat recovery from sintered ore to reduce carbon emissions. Traditional optimization methods, relying on single-variable computational fluid dynamics (CFD) or experiments, fail to resolve the complexities of high-dimensional parameter interactions and face difficulties in solving multi-objective optimization problems involving both the amount of heat transfer (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>Q</mi> </math></EquationSource> </InlineEquation>) and the amount of exergy destruction (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({E}_{{x},{d}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>x</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>). An integrated framework combining optimized Latin hypercube sampling (OLHS), metaheuristic-optimized surrogate models, explainable artificial intelligence (XAI), and NSGA-II multi-objective optimization for a novel sintered dual-stage cooling unit was proposed. OLHS generates spatially uniform six-dimensional training data, enabling high-fidelity CFD response modeling with minimal simulations. Hybrid support vector regression models achieve exceptional accuracy (<i>R</i><sup>2</sup> &gt; 0.999 for both <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>Q</mi> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({E}_{{x},{d}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>x</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>), validated by tenfold cross-validation. SHapley additive exPlanations and partial dependence plot analyses reveal that the particle mass flow rate and the gas inlet temperature dominate <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>Q</mi> </math></EquationSource> </InlineEquation>, while the gas inlet temperature and volume flow rate of cooling air to pre-cooling unit critically influence <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({E}_{{x},{d}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>x</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, with multi-parameter synergy driving trade-off. NSGA-II resolves the <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>Q</mi> </math></EquationSource> </InlineEquation>–<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({E}_{{x},{d}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>x</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> conflict, yielding a Pareto front with 24.4% hypervolume improvement, and achieves a multi-objective optimization of <i>Q</i> = 65.26&#xa0;MW and <i>E</i><sub><i>x, d</i></sub>= 37.43&#xa0;MW, balancing 81% peak heat transfer and 54% lower exergy destruction.</p>

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Multi-objective optimization for sinter waste heat recovery based on XAI-driven metaheuristic algorithm

  • Xue-Zhi Hao,
  • Liang Zhao,
  • Wen-Chang Wu,
  • Xiao-Hu Zhang,
  • Hui Dong,
  • Zhen Zhang,
  • Dan-Feng Zhang,
  • Zhen-Sheng Zhou

摘要

The steel industry urgently needs efficient waste heat recovery from sintered ore to reduce carbon emissions. Traditional optimization methods, relying on single-variable computational fluid dynamics (CFD) or experiments, fail to resolve the complexities of high-dimensional parameter interactions and face difficulties in solving multi-objective optimization problems involving both the amount of heat transfer ( \(Q\) Q ) and the amount of exergy destruction ( \({E}_{{x},{d}}\) E x , d ). An integrated framework combining optimized Latin hypercube sampling (OLHS), metaheuristic-optimized surrogate models, explainable artificial intelligence (XAI), and NSGA-II multi-objective optimization for a novel sintered dual-stage cooling unit was proposed. OLHS generates spatially uniform six-dimensional training data, enabling high-fidelity CFD response modeling with minimal simulations. Hybrid support vector regression models achieve exceptional accuracy (R2 > 0.999 for both \(Q\) Q and \({E}_{{x},{d}}\) E x , d ), validated by tenfold cross-validation. SHapley additive exPlanations and partial dependence plot analyses reveal that the particle mass flow rate and the gas inlet temperature dominate \(Q\) Q , while the gas inlet temperature and volume flow rate of cooling air to pre-cooling unit critically influence \({E}_{{x},{d}}\) E x , d , with multi-parameter synergy driving trade-off. NSGA-II resolves the \(Q\) Q \({E}_{{x},{d}}\) E x , d conflict, yielding a Pareto front with 24.4% hypervolume improvement, and achieves a multi-objective optimization of Q = 65.26 MW and Ex, d= 37.43 MW, balancing 81% peak heat transfer and 54% lower exergy destruction.