Skip to main content
Erschienen in: Structural and Multidisciplinary Optimization 2/2019

06.09.2018 | Research Paper

Optimal design of a model energy conversion device

verfasst von: Lincoln Collins, Kaushik Bhattacharya

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Fuel cells, batteries, and thermochemical and other energy conversion devices involve the transport of a number of (electro-) chemical species through distinct materials so that they can meet and react at specified multi-material interfaces. Therefore, morphology or arrangement of these different materials can be critical in the performance of an energy conversion device. In this paper, we study a model problem motivated by a solar-driven thermochemical conversion device that splits water into hydrogen and oxygen. We formulate the problem as a system of coupled multi-material reaction-diffusion equations where each species diffuses selectively through a given material and where the reaction occurs at multi-material interfaces. We introduce a phase-field formulation of the optimal design problem and numerically study selected examples.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
We also study in the appendix the opposite case when α = β = 0.
 
Literatur
Zurück zum Zitat Allaire G (2001) Shape optimization by the homogenization method. Applied Mathematical Sciences. Springer, New York Allaire G (2001) Shape optimization by the homogenization method. Applied Mathematical Sciences. Springer, New York
Zurück zum Zitat Allen SM, Cahn JW (1979) A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall 27(6):1085–1095CrossRef Allen SM, Cahn JW (1979) A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall 27(6):1085–1095CrossRef
Zurück zum Zitat Arico AS, Bruce P, Scrosati B, Tarascon J-M, Schalkwijk WV (2005) Nanostructured materials for advanced energy conversion and storage devices. Nat Mater 4(5):366–377CrossRef Arico AS, Bruce P, Scrosati B, Tarascon J-M, Schalkwijk WV (2005) Nanostructured materials for advanced energy conversion and storage devices. Nat Mater 4(5):366–377CrossRef
Zurück zum Zitat Atkinson A, Barnett S, Gorte RJ, Irvine JTS, McEvoy AJ, Mogensen M, Singhal SC, Vohs J (2004) Advanced anodes for high-temperature fuel cells. Nat Mater 3(1):17–27, 01CrossRef Atkinson A, Barnett S, Gorte RJ, Irvine JTS, McEvoy AJ, Mogensen M, Singhal SC, Vohs J (2004) Advanced anodes for high-temperature fuel cells. Nat Mater 3(1):17–27, 01CrossRef
Zurück zum Zitat Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Engineering online library. Springer, Berlin Heidelberg Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Engineering online library. Springer, Berlin Heidelberg
Zurück zum Zitat Bourdin B (2003) Design-dependent loads in topology optimization. ESAIM: Control Optim Calc Var 9:19–48, 8MathSciNetMATH Bourdin B (2003) Design-dependent loads in topology optimization. ESAIM: Control Optim Calc Var 9:19–48, 8MathSciNetMATH
Zurück zum Zitat Bruce PG, Scrosati B, Tarascon J-M (2008) Nanomaterials for rechargeable lithium batteries. Angew Chem Int Ed 47(16):2930–2946CrossRef Bruce PG, Scrosati B, Tarascon J-M (2008) Nanomaterials for rechargeable lithium batteries. Angew Chem Int Ed 47(16):2930–2946CrossRef
Zurück zum Zitat Chen Y-H, Wang C-W, Zhang X, Sastry AM (2010) Porous cathode optimization for lithium cells Ionic and electronic conductivity, capacity, and selection of materials. J Power Sources 195(9):2851–2862CrossRef Chen Y-H, Wang C-W, Zhang X, Sastry AM (2010) Porous cathode optimization for lithium cells Ionic and electronic conductivity, capacity, and selection of materials. J Power Sources 195(9):2851–2862CrossRef
Zurück zum Zitat Chueh WC, Falter C, Abbott M, Scipio D, Furler P, Haile SM, Steinfeld A (2010) High-flux solar-driven thermochemical dissociation of CO2 and H2O using nonstoichiometric ceria. Science 330(6012):1797–1801CrossRef Chueh WC, Falter C, Abbott M, Scipio D, Furler P, Haile SM, Steinfeld A (2010) High-flux solar-driven thermochemical dissociation of CO2 and H2O using nonstoichiometric ceria. Science 330(6012):1797–1801CrossRef
Zurück zum Zitat Clemmer RMC, Corbin SF (2004) Influence of porous composite microstructure on the processing and properties of solid oxide fuel cell anodes. Solid State Ionics 166(3):251–259CrossRef Clemmer RMC, Corbin SF (2004) Influence of porous composite microstructure on the processing and properties of solid oxide fuel cell anodes. Solid State Ionics 166(3):251–259CrossRef
Zurück zum Zitat Collins LN (2017) Optimal design of materials for energy conversion. Phd thesis, California Institute of Technology Collins LN (2017) Optimal design of materials for energy conversion. Phd thesis, California Institute of Technology
Zurück zum Zitat Cronin JS, Wilson JR, Barnett SA (2011) Impact of pore microstructure evolution on polarization resistance of ni-Yttria-stabilized zirconia fuel cell anodes. J Power Sources 196(5):2640– 2643CrossRef Cronin JS, Wilson JR, Barnett SA (2011) Impact of pore microstructure evolution on polarization resistance of ni-Yttria-stabilized zirconia fuel cell anodes. J Power Sources 196(5):2640– 2643CrossRef
Zurück zum Zitat Dacorogna B (2007) Direct methods in the calculus of variations. Applied Mathematical Sciences. Springer, New York Dacorogna B (2007) Direct methods in the calculus of variations. Applied Mathematical Sciences. Springer, New York
Zurück zum Zitat Ekeland I, Témam R (1999) Convex analysis and variational problems. Society of Industrial and Applied Mathematics, Philadelphia Ekeland I, Témam R (1999) Convex analysis and variational problems. Society of Industrial and Applied Mathematics, Philadelphia
Zurück zum Zitat Goodman J, Kohn R V, Reyna L (1986) Numerical study of a relaxed variational problem from optimal design. Comput Methods Appl Mech Eng 57(1):107–127MathSciNetCrossRefMATH Goodman J, Kohn R V, Reyna L (1986) Numerical study of a relaxed variational problem from optimal design. Comput Methods Appl Mech Eng 57(1):107–127MathSciNetCrossRefMATH
Zurück zum Zitat Hu Y-S, Philipp A, Smarsly BM, Hore S, Antonietti M, Maier J (2007) Synthesis of hierarchically porous carbon monoliths with highly ordered microstructure and their application in rechargeable lithium batteries with high-rate capability. Adv Funct Mater 17(12):1873–1878CrossRef Hu Y-S, Philipp A, Smarsly BM, Hore S, Antonietti M, Maier J (2007) Synthesis of hierarchically porous carbon monoliths with highly ordered microstructure and their application in rechargeable lithium batteries with high-rate capability. Adv Funct Mater 17(12):1873–1878CrossRef
Zurück zum Zitat Jia H, Gao P, Yang J, Wang J, Nuli Y, Yang Z (2011) Novel three-dimensional mesoporous silicon for high power lithium-ion battery anode material. Adv Energy Mater 1(6):1036– 1039CrossRef Jia H, Gao P, Yang J, Wang J, Nuli Y, Yang Z (2011) Novel three-dimensional mesoporous silicon for high power lithium-ion battery anode material. Adv Energy Mater 1(6):1036– 1039CrossRef
Zurück zum Zitat Jung WC, Dereux JO, Chueh WC, Hao Y, Haile SM (2012) High electrode activity of nanostructured, columnar ceria films for solid oxide fuel cells. Energy Environ Sci 5:8682–8689CrossRef Jung WC, Dereux JO, Chueh WC, Hao Y, Haile SM (2012) High electrode activity of nanostructured, columnar ceria films for solid oxide fuel cells. Energy Environ Sci 5:8682–8689CrossRef
Zurück zum Zitat Yu L, Fu Z-Y, Su B-L (2012) Hierarchically structured porous materials for energy conversion and storage. Adv Funct Mater 22(22):4634–4667CrossRef Yu L, Fu Z-Y, Su B-L (2012) Hierarchically structured porous materials for energy conversion and storage. Adv Funct Mater 22(22):4634–4667CrossRef
Zurück zum Zitat Smith JR, Chen A, Gostovic D, Hickey D, Kundinger D, Duncan KL, DeHoff RT, Jones KS, Wachsman ED (2009) Evaluation of the relationship between cathode microstructure and electrochemical behavior for SOFCs. Solid State Ionics 180(1):90–98CrossRef Smith JR, Chen A, Gostovic D, Hickey D, Kundinger D, Duncan KL, DeHoff RT, Jones KS, Wachsman ED (2009) Evaluation of the relationship between cathode microstructure and electrochemical behavior for SOFCs. Solid State Ionics 180(1):90–98CrossRef
Zurück zum Zitat Stephenson DE, Walker BC, Skelton CB, Gorzkowski P, Rowenhorst DJ, Wheeler DR (2011) Modeling 3D microstructure and ion transport in porous Li-ion battery electrodes. J Electrochem Soc 158(7):A781–A789CrossRef Stephenson DE, Walker BC, Skelton CB, Gorzkowski P, Rowenhorst DJ, Wheeler DR (2011) Modeling 3D microstructure and ion transport in porous Li-ion battery electrodes. J Electrochem Soc 158(7):A781–A789CrossRef
Zurück zum Zitat Suzuki T, Hasan Z, Funahashi Y, Yamaguchi T, Fujishiro Y, Awano M (2009) Impact of anode microstructure on solid oxide fuel cells. Science 325(5942):852–855CrossRef Suzuki T, Hasan Z, Funahashi Y, Yamaguchi T, Fujishiro Y, Awano M (2009) Impact of anode microstructure on solid oxide fuel cells. Science 325(5942):852–855CrossRef
Zurück zum Zitat Umeda GA, Chueh WC, Noailles L, Haile SM, Dunn BS (2008) Inverse opal ceria-zirconia: architectural engineering for heterogeneous catalysis. Energy Environ Sci 1:484–486CrossRef Umeda GA, Chueh WC, Noailles L, Haile SM, Dunn BS (2008) Inverse opal ceria-zirconia: architectural engineering for heterogeneous catalysis. Energy Environ Sci 1:484–486CrossRef
Zurück zum Zitat Wen Z, Wang Q, Zhang Q, Jinghong L (2007) In situ growth of mesoporous SnO2 on multiwalled carbon nanotubes: a novel composite with porous-tube structure as anode for lithium batteries. Adv Funct Mater 17(15):2772–2778CrossRef Wen Z, Wang Q, Zhang Q, Jinghong L (2007) In situ growth of mesoporous SnO2 on multiwalled carbon nanotubes: a novel composite with porous-tube structure as anode for lithium batteries. Adv Funct Mater 17(15):2772–2778CrossRef
Zurück zum Zitat Wilson JR, Cronin JS, Duong AT, Rukes S, Chen H-Y, Thornton K, Mumm DR, Barnett S (2010) Effect of composition of (La0.8Sr0.2MnO3 −Y2O3 −stabilized ZrO2) cathodes: correlating three-dimensional microstructure and polarization resistance. J Power Sources 195(7):1829–1840CrossRef Wilson JR, Cronin JS, Duong AT, Rukes S, Chen H-Y, Thornton K, Mumm DR, Barnett S (2010) Effect of composition of (La0.8Sr0.2MnO3 −Y2O3 −stabilized ZrO2) cathodes: correlating three-dimensional microstructure and polarization resistance. J Power Sources 195(7):1829–1840CrossRef
Zurück zum Zitat Wilson JR, Kobsiriphat W, Mendoza R, Chen H-Y, Hiller JM, Miller DJ, Thornton K, Voorhees PW, Stuart BA, Barnett SA (2006) Three-dimensional reconstruction of a solid-oxide fuel-cell anode. Nat Mater 5(7):541–544, 07CrossRef Wilson JR, Kobsiriphat W, Mendoza R, Chen H-Y, Hiller JM, Miller DJ, Thornton K, Voorhees PW, Stuart BA, Barnett SA (2006) Three-dimensional reconstruction of a solid-oxide fuel-cell anode. Nat Mater 5(7):541–544, 07CrossRef
Metadaten
Titel
Optimal design of a model energy conversion device
verfasst von
Lincoln Collins
Kaushik Bhattacharya
Publikationsdatum
06.09.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 2/2019
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-018-2072-6

Weitere Artikel der Ausgabe 2/2019

Structural and Multidisciplinary Optimization 2/2019 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.