Electromagnetic compatibility (EMC) of electrical equipment is frequently affected by a lot of aleatory and epistemic uncertainties, which may result in a serious decline in the EMC of equipment. Accordingly, the mixed epistemic–aleatory uncertainty quantification (UQ) is crucial in the performance assessment and optimization of EMC. This study proposes a mixed UQ and imprecise sensitivity analysis (ISA) method based on probability box (p-box) theory and polynomial chaos (PC). The method treats the epistemic uncertainty of the parameters in the p-box as a quadratic polynomial function of the PC coefficients, thereby quantifying the mixed uncertainty by calculating the p-box of the response. We also further combine the PC-pbox and Sobol sensitivity analysis methods to conduct ISA on each input variable, quantifying and separating the effect of aleatory and epistemic uncertainties on EMC. Finally, taking the problem of the transmission line crosstalk as an example, this study quantifies the mixed uncertainty and ISA of the induced current. The results show that the proposed method can efficiently and accurately realize the mixed UQ and ISA of the EMC evaluation and provide a theoretical basis for EMC assessment and optimization.

中文翻译：

---

基于概率盒理论和多项式混沌的 EMC 评估混合不确定性量化和不精确灵敏度分析

电气设备的电磁兼容性（EMC）经常受到大量偶然性和认知性不确定性的影响，可能导致设备的EMC严重下降。因此，混合认知-偶然不确定性量化（UQ）对于 EMC 的性能评估和优化至关重要。本研究提出了一种基于概率盒（p-box）理论和多项式混沌（PC）的混合UQ和不精确灵敏度分析（ISA）方法。该方法将p盒中参数的认知不确定性视为PC系数的二次多项式函数，从而通过计算响应的p盒来量化混合不确定性。我们还进一步结合PC-pbox和Sobol敏感性分析方法，对每个输入变量进行ISA，量化和分离偶然和认知不确定性对EMC的影响。最后，以传输线串扰问题为例，本研究量化了感应电流的混合不确定性和ISA。结果表明，该方法能够高效、准确地实现EMC评估的UQ和ISA混合，为EMC评估和优化提供理论依据。