Generalization of the Theta Methods of Convergence for Solving Distillation and Absorber-Type Problems

Haas, Joe R.; Alejandro, Gemez M.; Holland, C. D.

doi:10.1080/01496398108070221

Cited by 4 publications

(1 citation statement)

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“…After the early work by Lewis and Matheson 1932 and Thiele and Geddes 1933 many methods have been described in the literature to determine all process variables of a conventional distillation column. They include the so-called θ-method Holland 1963;Billingsley 1970;Haas, Alejandro, and Holland 2007, the sum rate method Sujata 1961;Burningham and Otto 1967;Lucia and Li 1992 and the relaxation method Rose, Sweeny, and Schrodt 1958;Ketchum 1979;Mori et al 1990. Also Newton type methods have been used to solve the corresponding MESH equations Naphtali and Sandholm 1971;Ishii and…”

Section: Calculation Of All Process Variables Using a Stage-tostage Proceduresmentioning

confidence: 99%

Simultaneous simulation and optimization of multiple dividing wall columns

Seidel

Ränger

Grützner

et al. 2021

Preprint

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In this work we present a new approach that we use to simulate and optimize multiple dividing wall columns at the same time. Instead of considering all model equations as constraints and all process variables as optimization variables in a large and highly nonlinear optimization problem we only incorporate a subset of the model equations as constraints and a subset of the process variables as optimization variables. The remaining process variables are calculated from this subset by a robust and fast calculation procedure. This calculation procedure also ensures that the remaining model equations are satisfied. A comparison with the commercial process simulator Aspen Plus shows that with the new approach multiple dividing wall columns can be optimized more stable and better solutions are found. Moreover the time needed to find an optimal design decreases significantly.

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