Top

Structural and Multidisciplinary Optimization

Published in:

01-03-2013 | Industrial Application

A 2D model for shape optimization of solid oxide fuel cell cathodes

Authors: X. Song, A. R. Diaz, A. Benard, J. D. Nicholas

Published in: Structural and Multidisciplinary Optimization | Issue 3/2013

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

A topology optimization method is used to identify the optimal shape of the nano-composite cathode of a solid oxide fuel cell (SOFC). A simplified analysis model is used in computations aimed at reducing ohmic losses by optimizing the shape of the cathode to minimize resistance. The model of the SOFC is reduced to a periodic, 2D conduction problem with design-dependent ionic transfer boundary conditions. Special techniques are introduced to avoid physically inadmissible designs that would otherwise be allowed by the 2D model. Isoperimetric constraints on the perimeter and the amount of material are used in the problem. Numerical examples are provided to discuss the effect of material properties and the resource restrictions introduced by the constraints. The methodology discussed can be applied to similar problems involving design-dependent boundary conditions.

previous article Optimal design of interference fit assemblies subjected to fatigue loads

next article Multiobjective optimization design for vehicle occupant restraint system under frontal impact

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Available only for authorised users

Adler SB (2004) Factors governing oxygen reduction in solid oxide fuel cell cathodes. Chem Rev 104:4791–4843CrossRef

Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202CrossRef

Bruns TE (2007) Topology optimization of convection-dominated steady-state heat transfer problems. Int J Heat Mass Transfer 50:2859–2873MATHCrossRef

Chan SH, Khor K, Xia ZT (2001) A complete polarization model of a solid oxide fuel cell its sensitivity to the change of cell component thickness. J Power Sources 93:130–140CrossRef

Deseure J, Bultel Y, Dessemond L, Siebert E (2005) Theoretical optimization of a SOFC composite cathode. Electrochim Acta 50(10):2037–2046CrossRef

Farhad S, Hamdullahpur F (2012) Optimization of the microstructure of porous composite cathodes in solid oxide fuel cells. AICHE J 58(4):1248–1261CrossRef

Glowinski R, Pan TW, Wells RO, Zhou XD (1996) Wavelet finite element solutions for the Neumann problem using fictitious domains. J Comput Phys 126(1):40–51MathSciNetMATHCrossRef

Guest JK (2009) Topology optimization with multiple phase projection. Comput Methods Appl Mech Eng 199:123–125MathSciNetMATHCrossRef

Haanappel VAC, Mertens J, Rutenbeck D, Tropartz C, Herzhof W, Sebold D, Tietz F (2005) Optimisation of processing microstructural parameters of LSM cathodes to improve the electrochemical performance of anode-supported SOFCs. J Power Sources 141:216–226CrossRef

Haralick RM, Shapiro LG (1992) Computer robot vision. Wiley, New York, pp 157–253

Iga A, Nishiwaki S, Izui K, Yoshimura M (2009) Topology optimization for thermal conductors considering design-dependent effects, including heat conduction convection. Int J Heat Mass Transfer 52:2721–2732MATHCrossRef

Iwai H, Kuroyanagi A, Saito M, Konno A, Yoshida H, Yamada T, Nishiwaki S (2011) Power generation enhancement of solid oxide fuel cell by cathode-electrolyte interface modification in mesoscale assisted by level set-based optimization calculation. J Power Sources 196:3485–3495CrossRef

Kawamoto A, Matsumori T, Yamasaki S, Nomura T, Kondoh T, Nishiwaki S (2011) Heaviside projection based topology optimization by a PDE-filtered scalar function. Struct Multidisc Optim 44:19–24CrossRef

Kenney B, Karan K (2007) Engineering of microstructure design of a planar porous composite SOFC cathode: a numerical analysis. Solid State Ionics 178:297–306CrossRef

Li XG (2006) Principles of fuel cells, Taylor Francis, New York, pp 494–503

Nicholas JD, Barnett SA (2009) Finite-element modeling of idealized infiltrated composite solid oxide fuel cell cathodes. J Electrochem Soc 156(4):458–464CrossRef

Nicholas JD, Barnett SA (2010) Measurements and modeling of Sm_0.5Sr_0.5CoO_3 − x—Ce_0.9Gd_0.1O_1.95 SOFC cathodes produced using infiltrate solution additives. J Electrochem Soc 157:B536CrossRef

O’Hayre RP, Cha SW, Colella WG, Prinz FB (2009) Fuel cell fundamentals. Wiley, New York, pp 270–272

Shah M, Barnett SA (2008) Solid oxide fuel cell cathodes by infiltration of La_0.6Sr_0.4Co_0.2Fe_0.8O_3 − x into Gd-doped ceria. Solid State Ionics 179:2059–2064CrossRef

Shah M, Nicholas JD, Barnett SA (2009) Prediction of infiltrated solid oxide fuel cell cathode polarization resistance using simple models. Electrochem Commun 11:2–5CrossRef

Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkboards, mesh dependencies local minima. Struct Optim 16:68–75CrossRef

Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MathSciNetMATHCrossRef

Tanner CW, Fung KZ, Virkar AV (1997) The effect of porous composite electrode structure on solid oxide fuel cell performance: theoretical analysis. J Electrochem Soc 144(1):21–30CrossRef

Wang L, Nicholas JD (2011) Simple Infiltrated Microstructure Polarization Loss Estimation (SIMPLE) model predictions of today tomorrow’s nano-composite SOFC cathodes. In: Singhal S, Eguchi K (eds) Twelfth international symposium on solid oxide fuel cells, pp 2321–2329 (ECS Transactions, The Electrochemical Society, Montreal, Canada, 2011)

Wells RO, Zhou XD (1992) Wavelet solutions for the Dirichlet problem. Technical report 92 02, Rice University, Computational Mathematics Lab, vol 126 no 1, pp 40–51

Yoon GH, Kim YY (2005) The element connectivity parameterization formulation for the topology design optimization of multiphysics system. Int J Numer Methods Eng 64:1649–1677MathSciNetMATHCrossRef

Title: A 2D model for shape optimization of solid oxide fuel cell cathodes
Authors: X. Song
A. R. Diaz
A. Benard
J. D. Nicholas
Publication date: 01-03-2013
Publisher: Springer-Verlag
Published in: Structural and Multidisciplinary Optimization / Issue 3/2013
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-012-0837-x

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 3/2013

An adaptive dimension decomposition and reselection method for reliability analysis

Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization

Multiobjective optimization design for vehicle occupant restraint system under frontal impact

Optimal design of interference fit assemblies subjected to fatigue loads

Topology optimization to minimize the dynamic compliance of a bi-material plate in a thermal environment

Integrated topology optimization and optimal control for vibration suppression in structural design

Premium Partners