Efficient calculation of constraint back-offs for optimization under uncertainty: A case study on maleic anhydride synthesis

Chemical Engineering Science - Tập 192 - Trang 306-317 - 2018
Johannes Maußner1, Hannsjörg Freund1
1Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Lehrstuhl für Chemische Reaktionstechnik, Egerlandstr. 3, 91058 Erlangen, Germany

Tài liệu tham khảo

Arpe, 2007 Aydin, 2018, NMPC using pontryagin’s minimum principle-application to a two-phase semi-batch hydroformylation reactor under uncertainty, Comput. Chem. Eng., 108, 47, 10.1016/j.compchemeng.2017.08.010 Bauer, 1976, Effektive radiale Wärmeleitfähigkeit gasdurchströmter Schüttungen aus Partikeln unterschiedlicher Form, Chem. Ing. Tech., 48, 227, 10.1002/cite.330480309 Becker, C., 2002. Katalytische Wandreaktorkonzepte für MSA-Synthese und Methanol-Dampfreformierung (Ph.D. thesis). Universität Stuttgart. Bernardo, 2015, Performance of cubature formulae in probabilistic model analysis and optimization, J. Comput. Appl. Math., 280, 110, 10.1016/j.cam.2014.11.053 Bernardo, 2016, Model analysis and optimization under uncertainty using thinned cubature formulae, Comput. Chem. Eng., 92, 133, 10.1016/j.compchemeng.2016.05.006 Bernardo, 1999, Robustness criteria in process design optimization under uncertainty, Comput. Chem. Eng., 23, S459, 10.1016/S0098-1354(99)80113-6 Bernardo, 2001, Quality costs and robustness criteria in chemical process design optimization, Comput. Chem. Eng., 25, 27, 10.1016/S0098-1354(00)00630-X Biegler, 2007, An overview of simultaneous strategies for dynamic optimization, Chem. Eng. Process., 46, 1043, 10.1016/j.cep.2006.06.021 Brandstädter, W.M., 2008. Partial oxidation of raffinate II and other mixtures of n-butane and n-butenes to maleic anhydride in a fixed-bed reactor (Ph.D. thesis). Karlsruher Institut für Technologie. Brandstädter, 2005, Maleic anhydride from mixtures of n-butenes and n-butane: effective reaction kinetics, Indus. Eng. Chem. Res., 44, 5550, 10.1021/ie050099o Brandstädter, 2007, Maleic anhydride from mixtures of n-butenes and n-butane: simulation of a production-scale nonisothermal fixed-bed reactor, Indus. Eng. Chem. Res., 46, 1475, 10.1021/ie061142q Bratley, 1988, Algorithm 659: implementing sobol’s quasirandom sequence generator, ACM Trans. Math. Softw., 14, 88, 10.1145/42288.214372 Cools, 2003, An encyclopaedia of cubature formulas, J. Complexity, 19, 445, 10.1016/S0885-064X(03)00011-6 Cools, 1993, Monomial cubature rules since “stroud”: a compilation, J. Comput. Appl. Math., 48, 309, 10.1016/0377-0427(93)90027-9 Dixon, 1996, An improved equation for the overall heat transfer coefficient in packed beds, Chem. Eng. Process., 35, 323, 10.1016/0255-2701(96)80012-2 Drud, 1994, Conopt-a large-scale grg code, ORSA J. Comput., 6, 207, 10.1287/ijoc.6.2.207 Eisfeld, 2001, The influence of confining walls on the pressure drop in packed beds, Chem. Eng. Sci., 56, 4321, 10.1016/S0009-2509(00)00533-9 Ergun, 1952, Fluid flow through packed columns, Chem. Eng. Prog., 48, 89 Ergun, 1949, Fluid flow through randomly packed columns and fluidized beds, Indus. Eng. Chem., 41, 1179, 10.1021/ie50474a011 Fourer, 1990, A modeling language for mathematical programming, Manage. Sci., 36, 519, 10.1287/mnsc.36.5.519 Grossmann, 1978, Optimum design of chemical plants with uncertain parameters, AIChE J., 24, 1021, 10.1002/aic.690240612 Halemane, 1983, Optimal process design under uncertainty, AIChE J., 29, 425, 10.1002/aic.690290312 Julier, S.J., Uhlmann, J.K., Durrant-Whyte, H.F., 1995. A new approach for filtering nonlinear systems. In: 1995 American Control Conference (ACC). vol. 3. pp. 1628–1632. Kaiser, 2016, Probabilistic reactor design in the framework of elementary process functions, Comput. Chem. Eng., 94, 45, 10.1016/j.compchemeng.2016.06.008 Koller, 2018, Stochastic back-off algorithm for simultaneous design, control, and scheduling of multiproduct systems under uncertainty, AIChE J., 10.1002/aic.16092 Lesser, 2017, Modeling the dynamic behavior of industrial fixed bed reactors for the manufacture of maleic anhydride, Chem. Eng. Sci., 172, 559, 10.1016/j.ces.2017.06.049 Lu, 2004, Higher-dimensional integration with gaussian weight for applications in probabilistic design, SIAM J. Sci. Comput., 26, 613, 10.1137/S1064827503426863 Martin, 1993, Radiale Wärmeleitung in durchströmten Schüttungsrohren, Chem. Ing. Tech., 65, 1468, 10.1002/cite.330651206 Maußner, 2018, Optimization under uncertainty in chemical engineering: comparative evaluation of unscented transformation methods and cubature rules, Chem. Eng. Sci., 183, 329, 10.1016/j.ces.2018.02.002 Nagy, 2007, Distributional uncertainty analysis using power series and polynomial chaos expansions, J. Process Control, 17, 229, 10.1016/j.jprocont.2006.10.008 Puschke, 2017, Multi-model approach based on parametric sensitivities – a heuristic approximation for dynamic optimization of semi-batch processes with parametric uncertainties, Comput. Chem. Eng., 98, 161, 10.1016/j.compchemeng.2016.12.004 Rooney, 2001, Design for model parameter uncertainty using nonlinear confidence regions, AIChE J., 47, 1794, 10.1002/aic.690470811 Rossner, 2010, Quality-by-design using a gaussian mixture density approximation of biological uncertainties, IFAC Proc. Vol., 43, 7, 10.3182/20100707-3-BE-2012.0035 Schenkendorf, R., 2014. Optimal experimental design for parameter identification and model selection (Ph.D. thesis). Otto von Guericke University. Schürer, 2003, A comparison between (quasi-)monte carlo and cubature rule based methods for solving high-dimensional integration problems, Math. Comput. Simul., 62, 509, 10.1016/S0378-4754(02)00250-1 Shen, 2016, Polynomial chaos-based robust design of systems with probabilistic uncertainties, AIChE J., 62, 3310, 10.1002/aic.15373 Shi, 2016, Optimization of grade transitions in polyethylene solution polymerization process under uncertainty, Comput. Chem. Eng., 95, 260, 10.1016/j.compchemeng.2016.08.002 Srinivasan, 2003, Dynamic optimization of batch processes: II. role of measurements in handling uncertainty, Comput. Chem. Eng., 27, 27, 10.1016/S0098-1354(02)00117-5 Steiner, 2005, Statistical robust design using the unscented transformation, COMPEL - Int. J. Comput. Math. Electrical Electron. Eng., 24, 606, 10.1108/03321640510586213 Stroud, 1971 Telen, 2015, Approximate robust optimization of nonlinear systems under parametric uncertainty and process noise, J. Process Control, 33, 140, 10.1016/j.jprocont.2015.06.011 Terwiesch, 1995, Robust input policies for batch reactors under parametric uncertainty, Chem. Eng. Commun., 131, 33, 10.1080/00986449508936282 Tsotsas, 2013, 1517 Visser, 2000, A feedback-based implementation scheme for batch process optimization, J. Process Control, 10, 399, 10.1016/S0959-1524(00)00015-9 Wendt, 2002, Nonlinear chance-constrained process optimization under uncertainty, Indus. Eng. Chem. Res., 41, 3621, 10.1021/ie010649s Xie, 2017, Robust design of chemical processes based on a one-shot sparse polynomial chaos expansion concept, vol. 40, 613 Zehner, 1972, Einfluss der Wärmestrahlung und des Druckes auf den Wärmetransport in nicht durchströmten Schüttungen, Chem. Ing. Tech., 44, 1303, 10.1002/cite.330442305