Abstract
Design and operation of complex industrial systems can be improved based on simulation and optimization using physical process models. However, this endeavor is particularly challenging for hybrid systems, where in addition to the continuous evolution described by differential algebraic equations the dynamic process shows instantaneous switches between different operating modes. In this study, we consider parameter estimation for an industrial evaporation system with discrete mode switches due to phase transitions. Simulation results of the hybrid evaporator model are compared with those of a smooth evaporator model. A smoothing approach is applied in order to modify the hybrid model such that the discrete transitions are integrated into the system of differential algebraic equations. This leads to exclusively smooth trajectories, making the model suitable for parameter estimation to be solved by means of gradient-based optimization methods. The dependence of the parameter estimation results on the smoothing parameter is investigated.
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References
Barton, P.I., Lee, C.K.: Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACMT. Model. Comp. S. 12, 256–289 (2002)
Bahl, V., Linninger, A.A.: Modeling of Continuous-Discrete Processes. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A. (eds.) HSCC 2001. LNCS, vol. 2034, pp. 387–402. Springer, Heidelberg (2001)
Mehrmann, V., Wunderlich, L.: Hybrid systems of differential-algebraic equations - analysis and numerical solution. J. Process Contr. 19, 1218–1228 (2009)
Goebel, R., Sanfelice, R.G., Teel, A.R.: Hybrid dynamical systems. IEEE Control Syst. Mag., 28–93 (2009)
Sonntag, C., Su, W., Stursberg, O., Engell, S.: Optimized start-up control of an industrial-scale evaporation system with hybrid dynamics. Control Eng. Pract. 16, 976–990 (2008)
Pappala, V.S., Erlich, I.: A new approach for solving the unit commitment problem by adaptive particle swarm optimization. In: 2008 IEEE Power and Energy Society General Meeting, pp. 1–6 (2008)
Biegler, L.T.: Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes. SIAM and MOS (2010)
Sonntag, C., Stursberg, O., Engell, S.: Dynamic optimization of an industrial evaporator using graph search with embedded nonlinear programming. In: 2nd IFAC Conference on Analysis and Design of Hybrid Systems, pp. 211–216 (2006)
Barton, P.I., Lee, C.K., Yunt, M.: Optimization of hybrid systems. Comp. Chem. Eng. 30, 1576–1589 (2006)
Till, J., Engell, S., Panek, S., Stursberg, O.: Applied hybrid system optimization: An empirical investigation of complexity. Control Eng. Pract. 12, 1291–1303 (2004)
de Prada, C., Cristea, S., Rosano, J.J.: Optimal start-up of an evaporation station. In: 8th International IFAC Symposium on Dynamics and Control of Process Systems, vol. 3, pp. 115–120 (2007)
Voelker, A., Sonntag, C., Lohmann, S., Engell, S.: Optimization-based safety analysis of an industrial-scale evaporation system with hybrid dynamics. In: 8th International IFAC Symposium on Dynamics and Control of Process Systems, vol. 1, pp. 117–122 (2007)
Baumrucker, B.T., Renfro, J.G., Biegler, L.T.: MPEC problem formulations and solution strategies with chemical engineering applications. Comp. Chem. Eng. 32, 2903–2913 (2008)
Sager, S.: Reformulations and algorithms for the optimization of switching decisions in nonlinear optimal control. J. Process Contr. 19, 1238–1247 (2009)
Ralph, D., Wright, S.J.: Some properties of regularization and penalization schemes for MPECs. Optim. Method. Softw. 19, 527–556 (2004)
Mynttinen, I., Li, P.: A reformulation scheme for parameter estimation of hybrid systems. In: 21st European Symposium on Computer-Aided Process Engineering, pp. 778–782 (2011)
Sonntag, C., Stursberg, O.: Safety verification of a discretely controlled evaporation system. Technical Report, HYCON, pp. 1–20 (2005)
Mynttinen, I., Hoffmann, A., Runge, E., Li, P.: Reformulation strategies for optimization of hybrid dynamic systems (2011) (submitted)
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Mynttinen, I., Runge, E., Li, P. (2013). Simulation, Parameter Estimation and Optimization of an Industrial-Scale Evaporation System. In: Pina, N., Kacprzyk, J., Filipe, J. (eds) Simulation and Modeling Methodologies, Technologies and Applications. Advances in Intelligent Systems and Computing, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34336-0_5
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DOI: https://doi.org/10.1007/978-3-642-34336-0_5
Publisher Name: Springer, Berlin, Heidelberg
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