MPP-Based Dimension Reduction Method for Accurate Prediction of the Probability of Failure of a Performance Function

作者：Kang Byungsu; Kim Chang Eob; Cho Hyunkyoo; Choi K K; Kim Dong Hun^*

来源：IEEE Transactions on Magnetics, 2018, 54(3): 7000804.

DOI：10.1109/TMAG.2017.2762463

• Electromagnetics (EMs)
• optimization
• reliability theory
• robustness

A hybrid reliability analysis method is proposed to yield very accurate failure rate calculation of a performance function when dealing with highly nonlinear electromagnetic systems in the presence of uncertainties. To achieve this goal, the first-order reliability method called reliability index approach is first conducted for searching a most probable failure point (MPP) at a given design. However, its result may have significant errors especially for nonlinear or multi-dimensional performance functions. To overcome the drawback, the univariate dimension reduction method is additionally executed at the obtained MPP, and then the probability of failure of a performance function is recalculated through additively decomposing an n-dimensional function into n 1-D functions. A mathematical example and TEAM workshop problem 22 are provided to demonstrate numerical efficiency and accuracy of the proposed method by comparison with the existing reliability methods.

• 出版日期2018-3