Abstract
In order to satisfy increasingly strict environmental policies, to win markets, and to offer more advantageous operational characteristics to buyers, new heavy-duty trucks must manage energy consumption in ever more efficient ways. To this end, one way of achieving efficiency gains is the incorporation of the so-called exhaust heat recovery (EHR) systems. The present work is concerned with nonlinear optimal control of an EHR system driven by an organic Rankine cycle (ORC). We present a fully-implicit differential-algebraic (DAE) model of the system dynamics based on a moving boundary approach. An optimal control problem for energy optimal set-point transition is formulated. Using a direct multiple shooting approach, a finite-dimensional nonlinear programming problem (NLP) is obtained, which is then solved by means of a tailored sequential quadratic programming (SQP) approach. Numerical results are presented for a set-point transition problem.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Bauer, I.: Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik. Ph.D. thesis, Universität Heidelberg (1999)
Bell, I.H., Wronski, J., Quoilin, S., Lemort, V.: Pure and pseudo-pure fluid thermophysical property evaluation and the open-source thermophysical property library CoolProp. Ind. Eng. Chem. Res. 53(6), 2498–2508 (2014)
Bock, H., Plitt, K.: A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the 9th IFAC World Congress, pp. 242–247. Pergamon Press, Budapest (1984). http://www.iwr.uni-heidelberg.de/groups/agbock/FILES/Bock1984.pdf
Cakallik, D.: Modellierung eines Abwärmerückgewinnungssystems für Lastkraftwagen. Diplomarbeit, Universität Stuttgart (2011)
Gräber, M., Strupp, N.C., Tegethoff, W.: Moving boundary heat exchanger model and validation procedure. In: EUROSIM Congress on Modelling and Simulation, Prague (2010)
Incropera, F.P.: Fundamentals of Heat and Mass Transfer. John Wiley & Sons, Hoboken (2006)
Jensen, J., Jensen, J.M., Tummescheit, H.: Moving boundary models for dynamic simulations of two-phase flows. In: Proceedings of the 2nd International Modelica Conference (2002)
Kirches, C., Bock, H., Schlöder, J., Sager, S.: Mixed-integer NMPC for predictive cruise control of heavy-duty trucks. In: Proceedings of the European Control Conference, pp. 4118–4123. Zurich, Switzerland (2013)
Leineweber, D., Bock, H., Schlöder, J., Gallitzendörfer, J., Schäfer, A., Jansohn, P.: A boundary value problem approach to the optimization of chemical processes described by DAE models. IWR preprint 97–14, Universität Heidelberg (1997)
Leineweber, D., Bauer, I., Schäfer, A., Bock, H., Schlöder, J.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization (Parts I and II). Comput. Chem. Eng. 27, 157–174 (2003)
Lemmon, E.W., Huber, M.L., McLinden, M.O.: NIST standard reference database 23: reference fluid thermodynamic and transport properties - REFPROP. National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD, 9.0 edn. (2010)
Powell, M.: A fast algorithm for nonlinearly constrained optimization calculations. In: G. Watson (ed.) Numerical Analysis, Dundee 1977. Lecture Notes in Mathematics, vol. 630. Springer, Berlin (1978)
Wei, D., Lu, X., Lu, Z., Gu, J.: Dynamic modeling and simulation of an organic Rankine cycle (ORC) system for waste heat recovery. Appl. Therm. Eng. 28(10), 1216–1224 (2008)
Zhang, J., Zhang, W., Hou, G., Fang, F.: Dynamic modeling and multivariable control of organic Rankine cycles in waste heat utilizing processes. Comput. Math. Appl. 64(5), 908–921 (2012)
Acknowledgements
E. Guerrero Merino and C. Kirches were supported by DFG Graduate School 220 funded by the German Excellence Initiative. Financial support by the German Federal Ministry of Education and Research program “Mathematics for Innovations in Industry and Service 2013–2016”, grant no 05M2013-GOSSIP, by the European Union within the 7th Framework Programme under Grant Agreement no 611909, and by Priority Programme 1962 “Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization” of DFG is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Guerrero Merino, E., Kirches, C., Schlöder, J.P. (2017). Nonlinear Optimal Control of a Heavy Duty Truck Exhaust Heat Recovery System. In: Bock, H., Phu, H., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes HPSC 2015 . Springer, Cham. https://doi.org/10.1007/978-3-319-67168-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-67168-0_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67167-3
Online ISBN: 978-3-319-67168-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)