Otimização de colunas de destilação : uma abordagem aplicada dos multiplicadores de Lagrange / Optimization of distillation comumns : an applied approach of the Lagrange multipliers

AUTOR(ES)

Diego Piasson

DATA DE PUBLICAÇÃO

2008

RESUMO

This work tackles the optimization of a distillation process of a binary mixture in a column with plates, which came from the methanol distillation in the production process of the biodiesel. More specifically, it considers the minimization of a cost objective function that encompass the heat rate supplied to the reboiler and the feed temperature, subject to equilibrium constraints and simple bounds. This problem was formulated based on Mor´e?s article A collection of Nonlinear Model Problems. The Lagrange multiplier methodology was used for solve it, outlined in the Karush-Kuhn-Tucker Theorem for optimization problems with mixed constraints. The softwares Maxima and MatLab were employed for the numerical investigation of the problem solution. An explanation about the operation of the column is also included, together with the presentation of the main results encompassing optimization, from unconstrained to mixed constrained problems

ASSUNTO(S)

otimização matematica mathematical optimization destilação - modelos matematicos funções de varias variaveis reais lagrange multipliers distillation multiplicadores de functions of several real variables lagrange

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