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Sensitivity-based adaptive mesh refinement collocation method for dynamic optimization of chemical and biochemical

Long Xiao1, Ping Liu1, Xinggao Liu2

  • 1State Key Laboratory of Industry Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, People's Republic of China.

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This summary is machine-generated.

A new Collocation on Finite Element (CFE) method refines time intervals based on sensitivity analysis for dynamic optimization. This approach balances computational cost and solution accuracy, improving industrial process efficiency.

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Collocation on finite elementDynamic optimizationNon-uniform refinementSensitivity analysis

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Area of Science:

  • Engineering
  • Computational Science

Background:

  • Dynamic optimization is crucial for industrial processes.
  • Collocation on Finite Element (CFE) requires balancing computational cost and solution accuracy through mesh selection.

Purpose of the Study:

  • To propose a new CFE approach with non-uniform mesh refinement for dynamic optimization.
  • To enhance the efficiency and effectiveness of CFE methods.

Main Methods:

  • Developed a non-uniform refinement procedure based on sensitivity analysis.
  • Derived sensitivities of state parameters with respect to control parameters from the discretized dynamic system.
  • Applied the method to chemical and biochemical engineering dynamic optimization problems.

Main Results:

  • The proposed CFE method with non-uniform refinement effectively optimizes dynamic problems.
  • Demonstrated improved efficiency compared to uniform mesh CFE and other reported methods.
  • Sensitivity analysis guided refinement to focus on critical time intervals.

Conclusions:

  • The novel CFE approach with sensitivity-based non-uniform refinement is effective for dynamic optimization.
  • This method offers a better balance between computational cost and solution accuracy.
  • The findings are applicable to improving industrial process profitability and productivity.