Mixed-logic Dynamic Optimization Applied to Configuration and Sequencing of Batch Distillation Processes

Integrated batch process development based on mixed-logic dynamic optimization

“…Therein, lineal or linearized equations were used to represent the time-dependent interdependence between physical laws, logical rules, and operating constraints, and logical decisions were represented by integers. Later, mixed-logic modeling with process dynamics were applied to scheduling problems in continuous processes with grade transitions (Nyström et al, 2005, 2006, Prata et al, 2008, design of individual batch units (Oldenburg et al, 2002(Oldenburg et al, , 2003, and simultaneous design and control (Bansal et al, 2002a,b). In the contributions by Oldenburg et al (2003) and by Prata et al (2008), not only logical rules but also Booleans and disjunctive equations were used, together with dynamic non-linear equations.…”

“…In general, dynamic models with detailed kinetics and mass and energy balances have been used to optimize the operation of unitary operations. For example, many contributions were dedicated to batch or semi-batch reactors (Cuthrell & Biegler, 1989, Garcia et al, 1995, Lehtonen et al, 1997, Ishikawa et al, 1997, Bonvin, 1998, Luus & Okongwu, 1999, Ubrich et al, 1999, Abel et al, 2000, Aziz & Mujtaba, 2002, Zhang & Smith, 2004, Sun et al, 2007, batch distillation columns (Hansen & Jørgensen, 1986, Christensen & Jørgensen, 1987, Diwekar et al, 1989, Logsdon et al, 1990, Sundaram & Evans, 1993, Diwekar, 1995, Mujtaba & Macchietto, 1996, Sharif et al, 1998, Kim, 1999, Oldenburg et al, 2002, Low & Sørensen, 2005, Cruse et al, 2006, Barakat & Sørensen, 2008 and reactive distillation columns (Sørensen et al, 1996), among others. In these works, frequent decision variables are the dynamic profiles for the selected control variables and the batch phase durations in Multistage Dynamic Optimization problems (Vassiliadis et al, 1994).…”

“…This way, design and operation decisions such as the equipment configuration, the number of trays in distillation columns, or the input location were considered simultaneously to optimal control variable profiles. (Sundaram & Evans, 1993, Diwekar, 1995, Mujtaba & Macchietto, 1996, Sharif et al, 1998, Oldenburg et al, 2002, Low & Sørensen, 2005, Cruse et al, 2006, Barakat & Sørensen, 2008. MIDO and MLDO formulations were also motivated by their application in integrated design and control problems, as it is the case of Mohideen et al (1996aMohideen et al ( ,b, 1997 and Bemporad & Morari (1999).…”

“…One of the first steps was the MLD optimization by Bemporad & Morari (1999) to solve model predictive control problems with lineal or linearized equations. Later, mixed-logic modeling with process dynamics were applied to simultaneous design and control (Bansal et al, 2002a,b), design of individual batch units (Oldenburg et al, 2002(Oldenburg et al, , 2003(Oldenburg et al, , 2005, and scheduling of continuous processes with grade transitions (Nyström et al, 2005, 2006, Prata et al, 2008.…”