DOI QR코드

DOI QR Code

Multi-Objective Optimization of Electromagnetic Device Based on Design Sensitivity Analysis and Reliability Analysis

설계 민감도와 신뢰도 분석에 근거한 전자기기의 다목적 최적화

  • Ren, Ziyan (College of Electrical and Computer Engineering, Chungbuk National University) ;
  • Zhang, Dianhai (College of Electrical and Computer Engineering, Chungbuk National University) ;
  • Park, Chanhyuk (College of Electrical and Computer Engineering, Chungbuk National University) ;
  • Koh, Chang Seop (College of Electrical and Computer Engineering, Chungbuk National University)
  • 렌지얀 (충북대학교 전자정보대학 전기공학과) ;
  • 장전해 (충북대학교 전자정보대학 전기공학과) ;
  • 박찬혁 (충북대학교 전자정보대학 전기공학과) ;
  • 고창섭 (충북대학교 전자정보대학 전기공학과)
  • Received : 2012.09.05
  • Accepted : 2012.12.21
  • Published : 2013.01.01

Abstract

In this paper, for constrained optimization problem, one multi-objective optimization algorithm that ensures both performance robustness and constraint feasibility is proposed when uncertainties are involved in design variables. In the proposed algorithm, the gradient index of objective function assisted by design sensitivity with the help of finite element method is applied to evaluate robustness; the reliability calculated by the sensitivity-assisted Monte Carlo simulation method is used to assess the feasibility of constraint function. As a demonstration, the performance and numerical efficiency of the proposed method is investigated through application to the optimal design of TEAM problem 22--a superconducting magnetic energy storage system.

Keywords

References

  1. Z. Y. Ren, M. T. Pham, M. H. Song, D. H. Kim, and C. S. Koh, "A robust global optimization algorithm of electromagnetic devices utilizing gradient index and multi-objective optimization method," IEEE Trans. Magn., vol.47, no.5, pp.1254-1257, May 2011. https://doi.org/10.1109/TMAG.2010.2080664
  2. K. Deb, S. Gupta, D. Daum, J. Branke, A. K. Mall, and D. Padmanabhan, "Reliability-based optimization using evolutionary algorithms," IEEE Trans. Evol. Comput., vol.13, no.5, pp.1054-1073, 2009. https://doi.org/10.1109/TEVC.2009.2014361
  3. Z. Y, Ren, D. H. Zhang, M. T. Pham, and C. S. Koh, "A new reliability calculation algorithm based on sensitivity analysis and its application to reliability-based robust global optimization of electromagnetic device with uncertain design variables," JAPMED'7, 6-9 July 2011, Hungary.
  4. J. S. Ryu, Y. Y. Yao, C. S. Koh, S. Yoon, and D. S. Kim, "Optimal shape design of 3-D nonlinear electromagnetic devices using parameterized design sensitivity analysis", IEEE Trans. Magn., vol. 41, no. 5, pp. 1792-1795, May 2005. https://doi.org/10.1109/TMAG.2005.845982
  5. P. G. Alotto, U. Baumgartner, F. Freschi, M. Jaindl, A. Kostinger, Ch. Magele, and W. Repetto, "SMES optimization Benchmark: TEAM workshop problem 22", Available: http://www.igte.tugraz.at/Team22.
  6. S. G. An, S. H. Yang. S. L. Ho, and P. H. Ni, "An improved cross-entropy method applied to inverse problems," IEEE Trans. Magn., vol. 48, no. 2, pp. 327-330, Feb. 2012. https://doi.org/10.1109/TMAG.2011.2173303
  7. L. D. S. Batista, F. G. Guimaraes, and J. A. Ramirez, "A distributed clonal selection algorithm for optimization in electromagnetic," IEEE Trans. Magn., vol.45, no.3, pp.1598-1601, Mar. 2009. https://doi.org/10.1109/TMAG.2009.2012752
  8. G. Steiner, A. Weber, and C. Magele, "Managing uncertainties in electromagnetic design problems with robust optimization," IEEE Trans. Magn., vol. 40, no. 2, pp. 1094-1099, Mar. 2004. https://doi.org/10.1109/TMAG.2004.824556
  9. G. Lei, Y. G. Guo, J. G. Zhu, X. M. Chen, W. Xu, and K. R. Shao, "Sequential subspace optimization method for electromagnetic devices design with orthogonal design technique," IEEE Trans. Magn., vol. 48, no. 2, pp. 479-482, Feb. 2012. https://doi.org/10.1109/TMAG.2011.2173921