Aplicação de simulated annealing para o calculo de equilibrio de fases de misturas complexas / Simulated annealing applied to the calculation of phase equilibria for a complex misture

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In many industrial processes, during the phase of refining and separation, products form very complex mixtures. It is the case, for example, of the vegetal oil and citric acid industries. As these mixtures are formed by many components, determination and calculation of thermodynamic properties and phase equilibrium are very complicated. In this way, the use of the most rigorous methods able to calculate the phase equilibrium and to analyse the stability of phases of these mixtures becomes necessary. In this work, the determination of phase equilibrium is done by minimization of the Gibbs free energy of the system. The NRTL (Non-Random-Two-Liquid) and UNIQUAC (UNIversal QUAsi-Chemical) models were used for the thermodynamic representation of the complex mixtures, which were characterized by means of pseudo-components. Under conditions of constant temperature and pressure, the necessary and sufficient condition for a multiphase and multicomponent system to reach the equilibrium is that the Gibbs free energy is a global minimum. Based on this principle, equilibrium problems can be formulated and solved as otimization problems. The objective function for these problems is generaly highly nonlinear and usually nonconvex, and methods of global optimization are generally necessary for its minimization. The technique of global optimization studied and applied in this work is a method of random search named Simulated Annealing (SA), whose main advantages are the ability to avoid local minimum and the ease of application. The results obtained for the studied cases have demonstrated that the application of the technique of SA for global minimization of the Gibbs free energy, together with the models NRTL and UNIQUAC, allows a reliable representation of the experimental data in very short execution times. Moreover, the SA technique was robust, leading to the global minima independently of the initial estimate even for highly nonlinear and nonconvex cases

ASSUNTO(S)

equilibrio quimico gibbs phase equilibria gibbs free energy otimization otimização simulated annealing (matematica) simulated annealing (mathematics) energia livre de

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