An adaptive variable-step homotopy-based algorithm for process simulation with cyclic streams
The simulation of processes with cyclic streams faces challenges in providing initial values and encounters difficulties in convergence with traditional algorithms.To address this issue,an adaptive variable-step homotopy-based algorithm is proposed.The algorithm adjusts the step size in the homotopy parameter during the process,handling situations where convergence fails in intermediate stages,which improve the convergence efficiency of the algorithm.A backtracking line search method is employed to constrain the iterative variables within the defined domain,enhancing the algorithm's robustness.Homotopy algorithms are constructed based on direct iteration,Wegstein,Broyden,and Newton methods.The impact of homotopy parameters and auxiliary functions is analyzed.Taking the production of high-density polyethylene using the slurry method as a case study,simulation results indicate that the homotopy algorithm improves the convergence of the model under different operating conditions.The built-in solver of the commercial process model software Aspen Plus can only obtain feasible solutions in 21％of the test conditions,while the homotopy algorithm converges in 88％of cases.
process systemalgorithmchemical processessimulationhomotopy method
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维普
