### 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.

Language | English (US) |
---|---|

Pages | 453-464 |

Number of pages | 12 |

Journal | Structural and Multidisciplinary Optimization |

Volume | 47 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2013 |

### Profile

### Keywords

- Design dependent boundary conditions
- Solid oxide fuel cells
- Topology optimization

### ASJC Scopus subject areas

- Software
- Computer Graphics and Computer-Aided Design
- Computer Science Applications
- Control and Systems Engineering
- Control and Optimization

### Cite this

**A 2D model for shape optimization of solid oxide fuel cell cathodes.** / Song, X.; Diaz, A. R.; Benard, A.; Nicholas, J. D.

Research output: Research - peer-review › Article

*Structural and Multidisciplinary Optimization*, vol 47, no. 3, pp. 453-464. DOI: 10.1007/s00158-012-0837-x

}

TY - JOUR

T1 - A 2D model for shape optimization of solid oxide fuel cell cathodes

AU - Song,X.

AU - Diaz,A. R.

AU - Benard,A.

AU - Nicholas,J. D.

PY - 2013/3

Y1 - 2013/3

N2 - 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.

AB - 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.

KW - Design dependent boundary conditions

KW - Solid oxide fuel cells

KW - Topology optimization

UR - http://www.scopus.com/inward/record.url?scp=84880571033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880571033&partnerID=8YFLogxK

U2 - 10.1007/s00158-012-0837-x

DO - 10.1007/s00158-012-0837-x

M3 - Article

VL - 47

SP - 453

EP - 464

JO - Structural and Multidisciplinary Optimization

T2 - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 3

ER -