Abstract
Abstract The material balance, equilibrium, summation and heat balance (MESH) equation describing a distillation column is highly nonlinear, making it very difficult to optimize. A new solution strategy is proposed based on the iterative mixed integer linear programming (MILP) method introduced in the earlier work (Pan et al., 2013). Rigorous phase equilibrium is reformulated by using high dimensional model representation (HDMR), which retains high accuracy (less than 1% of relative deviation) compared with the original thermodynamic models provided by Aspen Plus. Then, the MILP-based iteration approach is utilized to solve the resulting nonlinear programming problems. To validate the proposed approach, a benzene-toluene-o-xylene (BTX) distillation column model is carried out and compared with the results obtained from Aspen Plus. More importantly, the optimization of capital and operating expenses of the system can be achieved based on the iterative MILP-based method which yields an objective of 11.08 with elapsed time of 400 seconds.
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