Topological shape optimization of power flow problems at high frequencies using level set approach

International Journal of Solids and Structures

Volumn 43, Issue 1, 2006, Pages 172-192

  Cho, Seonho ^a   Ha, Seung Hyun ^a   Park, Chan Young ^a  

^a Seoul National University   (South Korea)

Author keywords

Adjoint variable method; Hamilton Jacobi equation; Level set method; Power flow problem; Topological shape optimization

Indexed keywords

ELECTRIC POWER DISTRIBUTION; LAGRANGE MULTIPLIERS; NATURAL FREQUENCIES; OPTIMIZATION; SENSITIVITY ANALYSIS; SET THEORY;

ADJOINT VARIABLE METHOD; HAMILTON-JACOBI EQUATION; LEVEL SET METHOD; POWER FLOW PROBLEM; TOPOLOGICAL SHAPE OPTIMIZATION;

ELECTRIC NETWORK TOPOLOGY;

EID: 28244478993     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.04.033     Document Type: Article

References (12)

1. G. Allaire, F. Jouve, and A. Toader A level-set method for shape optimization Comptes Rendus de L Academie Des Sciences Paris, Serie I 334 2002 1125 1130
2. V.D. Belov, S.A. Rybak, and B.D. Tartakovskii Propagation of vibrational energy in absorbing structures Journal of Soviet Physics Acoustics 23 2 1977 115 119
3. M.P. Bendsøe Optimal shape design as a material distribution problem Structural Optimization 1 1989 193 202
4. M.P. Bendsøe, and N. Kikuchi Generating optimal topologies in structural design using a homogenization method Computer Methods in Applied Mechanics and Engineering 71 1988 197 224
5. I.A. Butlitskaya, A.I. Vyalyshev, and B.D. Tartakovskii Propagation of vibrational and acoustic energy along a structure with losses Journal of Soviet Physics Acoustics 29 4 1983 333 334
6. E.J. Haug, K.K. Choi, and V. Komkov Design Sensitivity Analysis of Structural Systems 1986 Academic Press New York
7. N.H. Kim, J. Dong, and K.K. Choi Energy flow analysis and design sensitivity analysis of structural problems at high frequencies Journal of Sound and Vibration 269 2004 213 250
8. D.J. Nefske, and S.H. Sung Power flow finite element analysis of dynamic systems: basic theory and application to beams Journal of Vibration, Acoustics, Stress and Reliability in Design 111 1989 94 100
9. S. Osher, and J.A. Sethian Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations Journal of Computational Physics 79 1988 12 49
10. J.A. Sethian Level Set Methods and Fast Marching Methods 1999 Cambridge University Press Cambridge
11. J.A. Sethian, and A. Wiegmann Structural boundary design via level set and immersed interface methods Journal of Computational Physics 163 2000 489 528
12. M.Y. Wang, X. Wang, and D. Guo A level set method for structural topology optimization Computational Methods in Applied Mechanics and Engineering 192 2003 227 246