Summary
Molten carbonate fuel cells (MCFCs) allow an efficient and environmentally friendly energy production by converting the chemical energy contained in the fuel gas in virtue of electro-chemical reactions. Their dynamical behavior can be described by large scale embedded systems of 1D or 2D nonlinear partial differential algebraic equations (PDAEs) up to dimension 28. They are of mixed parabolic-hyperbolic type with integral terms in the right hand side and initial and nonlinear boundary conditions, the latter governed by a system of ordinary differential equations.
In this paper a new 2D model together with results of its numerical simulation is presented. The numerical results show a good correspondence with the expected dynamical behavior of MCFCs. The ultimate goal is to optimize this large scale nonlinear PDAE system to increase efficiency and service life of MCFCs.
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 subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Büskens, C.: Optimierungsmethoden und Sensitivitätsanalyse für optimale Steuerprozesse mit Steuer-und Zustands-Beschränkungen. Dissertation, Univ. Münster, Germany, 1998.
Chudej, K.: Index Analysis for Singular PDE Models of Fuel Cells. to appear in Proc. of ECMI 2004.
Chudej, K.; Heidebrecht, P.; Petzet, V.; Scherdel, S.; Schittkowski, K.; Pesch, H.J.; Sundmacher, K.: Index Analysis and Numerical Solution of a Large Scale Nonlinear PDAE System Describing the Dynamical Behaviour of Molten Carbonate Fuel Cells. Zeitschrift für Angewandte Mathematik und Mechanik 85,2, 132–140 (2005).
Heidebrecht, P.: Modelling, Analysis and Optimisation of a Molten Carbonate Fuel Cell with Direct Internal Reforming (DIR-MCFC). Dissertation, Fortschritt-Berichte, Reihe 3, Nr. 826, VDI-Verlag, Düsseldorf, 2005.
Heidebrecht, P., Sundmacher, K.: Molten carbonate fuel cell (MCFC) with internal reforming: model-based analysis of cell dynamics, Chemical Engineering Science 58 (2003) 1029–1036.
Heidebrecht, P., Sundmacher, K.: Dynamic Modeling and Simulation of a Countercurrent Molten Carbonate Fuel Cell (MCFC) with Internal Reforming, Fuel Cells 3–4 (2002), 166–180.
Pesch, H.J.; Chudej, K.; Petzet, V.; Scherdel, S.; Schittkowski, K.; Heidebrecht, P.; Sundmacher, K.: Numerical Simulation of a 1D Model of a Molten Carbonate Fuel Cell. Proc. Appl. Math. Mech. 3 (2003) 521–522.
Rang, J.; Chudej, K.: A perturbation index for a singular PDE model of a fuel cell. Mathematik-Bericht Nr. 2004/6, Institut für Mathematik, Technische Universität Clausthal (2004).
Sternberg, K., Chudej, K., Pesch, H.J.: A partial differential algebraic dynamic model of a molten carbonate fuel cell. Proc. Appl. Math. Mech. 4 (2004) 584–585.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
Pesch, H.J., Sternberg, K., Chudej, K. (2006). Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling. In: Di Pillo, G., Roma, M. (eds) Large-Scale Nonlinear Optimization. Nonconvex Optimization and Its Applications, vol 83. Springer, Boston, MA. https://doi.org/10.1007/0-387-30065-1_15
Download citation
DOI: https://doi.org/10.1007/0-387-30065-1_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-30063-4
Online ISBN: 978-0-387-30065-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)