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Isogeometric Shape Design Optimization of Power Flow Problems at High Frequencies

고주파수 파워흐름 문제의 아이소-지오메트릭 형상 최적설계

  • Yoon, Minho (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Ha, Seung-Hyun (Department of Civil Engineering, Johns Hopkins University) ;
  • Cho, Seonho (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University)
  • 윤민호 (서울대학교 아이소-지오메트릭 최적설계 창의연구단) ;
  • 하승현 (존스홉킨스대학교 토목공학과) ;
  • 조선호 (서울대학교 아이소-지오메트릭 최적설계 창의연구단)
  • Received : 2014.03.17
  • Accepted : 2014.05.17
  • Published : 2014.06.30

Abstract

Using an isogeometric approach, a continuum-based shape design optimization method is developed for steady state power flow problems at high frequencies. In case the isogeometric method is employed to the shape design optimization, the NURBS basis functions used in CAD geometric modeling are directly utilized to embed the exact geometry into the computational framework so that the design parameterization for shape optimization is much easier than that in the finite element method and consequently provides the enhanced smoothness of design perturbations. Thus, exact geometric models can be used in both the response and the shape sensitivity analyses, where normal vector and curvature are continuous over the whole design space so that enhanced shape sensitivity can be expected. Through numerical examples, the developed isogeometric sensitivity is compared with finite difference one to provide excellent agreement. Also, it turns out that the proposed method works very well in the shape optimization problems.

Acknowledgement

Supported by : 한국연구재단

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