A Robust Multimodal Optimization Algorithm Based on a Sub-Division Surrogate Model and an Improved Sampling Method
| Autor: | Sang-Yong Jung, Jong-Suk Ro, Tae-Kyung Chung, Hyun-Kyo Jung, Hyeon-Jeong Park, Han-Kyeol Yeo |
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| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Numerical error Computer science Covariance matrix 020208 electrical & electronic engineering Cogging torque Sampling (statistics) Robust optimization 02 engineering and technology 01 natural sciences Electronic Optical and Magnetic Materials Surrogate model Latin hypercube sampling Kriging Robustness (computer science) 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Algorithm design Electrical and Electronic Engineering Algorithm |
| Zdroj: | IEEE Transactions on Magnetics. 54:1-4 |
| ISSN: | 1941-0069 0018-9464 |
| DOI: | 10.1109/tmag.2017.2755073 |
| Popis: | The characteristics analysis of an electric machine requires the finite-element method. Hence, a large amount of computation occurs in the design process to take into account uncertainties as the manufacturing tolerances. In this paper, an efficient and useful multimodal optimization algorithm using the kriging surrogate model is proposed for the robust optimization of an electric machine. However, the conventional kriging (CK) method has a memory problem in multi-dimensional problem due to the enlarged correlation matrix. Thus, a sub-domain kriging (SDK) strategy and improved Latin hypercube sampling (ILHS) are proposed not only to solve the memory problem of the CK method, but also to increase the convergence speed. In addition, a gradient-free sensitivity index is proposed for robust optimization in order to address the conventional first and second gradient index which causes a numerical error. The outstanding performance of the proposed algorithm is verified by comparing with other optimization methods via several mathematical test functions which includes multi-dimensional problem. Moreover, the proposed algorithm is applied to a cogging torque reduction design case for interior permanent magnet motor. |
| Databáze: | OpenAIRE |
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