Science China Technological Sciences

, Volume 62, Issue 5, pp 787–798 | Cite as

A frequency domain reliability analysis method for electromagnetic problems based on univariate dimension reduction method

  • MengHao Ping
  • Xu HanEmail author
  • Chao Jiang
  • JianFeng Zhong
  • XiaoYa Xiao
  • ZhiLiang Huang
  • ZhongHua Wang
Article Special Topic: Current Progress in Solid Mechanics and Physical Mechanics


In this paper, a class of electromagnetic field frequency domain reliability problem is first defined. The frequency domain reliability refers to the probability that an electromagnetic performance indicator can meet the intended requirements within a specific frequency band, considering the uncertainty of structural parameters and frequency-variant electromagnetic parameters. And then a frequency domain reliability analysis method based on univariate dimension reduction method is proposed, which provides an effective calculation tool for electromagnetic frequency domain reliability. In electromagnetic problems, performance indicators usually vary with frequency. The method firstly discretizes the frequency-variant performance indicator function into a series of frequency points’ functions, and then transforms the frequency domain reliability problem into a series system reliability problem of discrete frequency points’ functions. Secondly, the univariate dimension reduction method is introduced to solve the probability distribution functions and correlation coefficients of discrete frequency points’ functions in the system. Finally, according to the above calculation results, the series system reliability can be solved to obtain the frequency domain reliability, and the cumulative distribution function of the performance indicator can also be obtained. In this study, Monte Carlo simulation is adopted to demonstrate the validity of the frequency domain reliability analysis method. Three examples are investigated to demonstrate the accuracy and efficiency of the proposed method.

electromagnetic field frequency domain reliability system reliability random process discretization univariate dimension reduction method 


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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • MengHao Ping
    • 1
  • Xu Han
    • 1
    Email author
  • Chao Jiang
    • 1
  • JianFeng Zhong
    • 2
  • XiaoYa Xiao
    • 1
  • ZhiLiang Huang
    • 1
  • ZhongHua Wang
    • 1
  1. 1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle EngineeringHunan UniversityChangshaChina
  2. 2.Nanjing Research Institute of Electronics TechnologyNanjingChina

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