The Adjoint Method for Gradient-based Dynamic Optimization of UV Flash Processes

• Published in: Computer Aided Chemical Engineering Vol. 40; pp. 2071 - 2076
• Main Authors: Ritschel, Tobias K.S., Capolei, Andrea, Jørgensen, John B.
• Format: Book Chapter
• Language: English
• Published: 01-01-2017
• Subjects: Differential-Algebraic Equations; Optimal Control; Optimization; Vapor-Liquid Equilibrium; Optimal Control; Vapor-Liquid Equilibrium; Optimization; Differential-Algebraic Equations
• ISBN: 9780444639653; 0444639659
• ISSN: 1570-7946
• DOI: 10.1016/B978-0-444-63965-3.50347-0

This paper presents a novel single-shooting algorithm for gradient-based solution of optimal control problems with vapor-liquid equilibrium constraints. Dynamic optimization of UV flash processes is relevant in nonlinear model predictive control of distillation columns, certain two-phase flow problems, and oil reservoir production with significant compositional and thermal effects. Gradients are computed with the adjoint method and we use various optimization software (fmincon, IPOPT, KNITRO, and NPSOL) for the numerical optimization. We present computational results for a non-ideal five-component flash process which demonstrate the importance of the optimization solver, the compiler, and the linear algebra software for the efficiency of dynamic optimization of UV flash processes.