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http://dx.doi.org/10.5370/JEET.2018.13.2.704

A New Reliability-Based Optimal Design Algorithm of Electromagnetic Problems with Uncertain Variables: Multi-objective Approach  

Ren, Ziyan (School of Electrical Engineering, Shenyang University of Technology)
Peng, Baoyang (School of Electrical Engineering, Shenyang University of Technology)
Liu, Yang (Global Energy Interconnection Research Institute Co., Ltd.)
Zhao, Guoxin (School of Electrical Engineering, Shenyang University of Technology)
Koh, Chang-Seop (College of Electrical and Computer Engineering, Chungbuk National University)
Publication Information
Journal of Electrical Engineering and Technology / v.13, no.2, 2018 , pp. 704-710 More about this Journal
Abstract
For the optimal design of electromagnetic device involving uncertainties in design variables, this paper proposes a new reliability-based optimal design algorithm for multiple constraints problems. Through optimizing the nominal objective function and maximizing the minimum reliability, a set of global optimal reliable solutions representing different reliability levels are obtained by the multi-objective particle swarm optimization algorithm. Applying the sensitivity-assisted Monte Carlo simulation method, the numerical efficiency of optimization procedure is guaranteed. The proposed reliability-based algorithm supplying multi-reliable solutions is investigated through applications to analytic examples and the optimal design of two electromagnetic problems.
Keywords
Monte Carlo simulation; Multi-objective optimal design; Reliability calculation; Sensitivity analysis;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 M. T. Pham, D. H. Zhang, and C. S. Koh, "Multiguider and cross-searching approach in multi-objective particle swarm optimization for electromagnetic problems," IEEE Trans. Magn., vol. 48, no. 2, pp. 539-542, Feb. 2012.   DOI
2 K. Deb, et al, "Reliability-based optimization using evolutionary algorithms," IEEE Trans. Evol. Comput., vol. 13, no. 5, pp. 1054-1073, Oct. 2009.   DOI
3 Rj. Yang and L. Gu, "Experience with approximate reliability-based optimization methods," Struct. Multidisc. Optim., vol. 26, no. 1-2, pp. 152-159, 2004.   DOI
4 P. D. Barba, A. Gottvald, and A. Savini, "Global optimization of Loney's solenoid: a benchmark problem," Int. J. Appl. Electromagn. Mech., vol. 6, no. 4, pp. 273-276, 1995.
5 E. Cogotti, A. Fanni, and F. Pilo, "A comparison of optimization techniques for Loney's solenoids design: an alternative tabu search algorithm," IEEE Trans. Magn., vol. 36, no. 4, pp. 1153-1157, Apr. 2000.   DOI
6 N.-K. K, et al, "Robust optimization utilizing the second-order design sensitivity information," IEEE Trans. Magn., vol. 46, no. 8, pp. 3117-3120, Aug. 2010.   DOI
7 P. T. Lin, H. C. Gea, and Y. J., "A modified reliability index approach for reliability-based design optimization," ASME J. Mech. Des., vol. 133, pp. 044501-7, Apr. 2011.   DOI
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.   DOI
9 D.W. Kim, et al, "Reliability assessment on different designs of a SMES system based on the reliability index approach," J. Electr. Eng. Technol., vol. 7, no. 1, pp. 46-50, 2012.   DOI
10 D. W. Kim, Y. H. Sung, G. W. Jeung, and D. H. Kim, "Reliability-based design optimization of a super-conducting magnetic energy storage system (SMES) utilizing reliability index approach," Journal of Magnetics, vol. 17, no. 1, pp. 46-50, Mar 2012.   DOI
11 B. D. Youn and K. K. Choi, "Selecting probabilistic approaches for reliability-based design optimization," AIAA Journal, vol. 42, no. 1, pp. 124-131, Jan. 2004.   DOI
12 X. G. Gu, G. Y. Sun, G. Y. Li, L. C. Mao, and Q. Li, "A comparative study on multiobjective reliable and robust optimization for crashworthiness design of vehicle structure," Struct. Multidisc. Optim., DOI 10.1007/s00158-013-0921-x.   DOI
13 Z. Y. Ren, D. H. Zhang, and C. S. Koh, "A new sensitivity-based reliability calculation algorithm in the optimal design of electromagnetic devices," J. Electr. Eng. Technol., vol. 8, no. 2, pp. 331-338, 2013.   DOI
14 I. J. Lee, K. K. Choi, and L. Zhao, "Sampling-based RBDO using the stochastic sensitivity analysis and dynamic Kriging method," Struct. Multidic. Optim., vol. 44, pp. 299-317, 2011.   DOI
15 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.   DOI