Abstract：Reactors are essential equipment for maintaining the safe and stable operation of AC power grids, and excessive vibration is a major challenge in reactor operation. The core is the primary source of vibration in reactors, and core vibration damping technology plays a crucial role in the stability and reliability of reactor operation. Existing methods for vibration reduction optimization of reactor core are typically based on deterministic parameters, without adequately accounting for structural parameter uncertainties introduced by factors such as manufacturing tolerances. This limitation can undermine the reliability of optimization strategies in practical applications and may fail to effectively mitigate core vibrations. To address this challenge, this study uses the maximum vibration acceleration of the core as a key performance indicator, systematically examining the effects of gap structural parameter uncertainties on the vibration characteristics of reactor core, and a robust optimization method is proposed to account for these uncertainties. Firstly, this paper qualitatively analyzed the impact of gap structural parameter uncertainties on reactor core vibrations from a theoretical perspective. Subsequently, a finite element simulation model was established based on the actual operating and design parameters of the reactor. The kernel density estimation method was used to quantitatively evaluate the probability of reliable operation, ensuring that the vibration acceleration of the reactor core does not exceed the original design value under ±1 mm uncertainty in gap structural parameters. Based on the results of the uncertainty analysis, a robust optimization model for reactor core vibration damping was developed, aiming to minimize the maximum vibration acceleration of the core. The model incorporated multiple constraints, including gap length, inductance, and magnetic flux density, to reflect actual operating conditions. By integrating the Morris one-at-a-time (MOAT) screening method and Sobol global sensitivity indices, the solution space of the optimization variables was reduced, and the model was solved using the bound optimization by quadratic approximation (BOBYQA) algorithm, resulting in a robust optimization scheme for reactor core vibration damping. The results indicate that the proposed optimization scheme significantly improves the robustness of reactor core vibration optimization under uncertain disturbances. The optimized reactor core achieves a 97.34% probability of meeting reliable operation requirements for maximum vibration acceleration, making it more suitable for practical engineering applications. This paper provides a reference for the research and design of reactor core vibration reduction optimization considering uncertainty factors. The following conclusions are drawn from simulations and experiments: (1) Gap structural parameter uncertainties have a significant impact on the maximum vibration acceleration of reactor core, substantially reducing the reliability of reactor structural designs. Under ±1 mm uncertainty in gap structural parameters, the conditional probability of meeting the safety threshold of the maximum vibration acceleration of the core under the original design value is only 67.37%. (2) This paper proposes a reactor core vibration reduction optimization design scheme that accounts for structural parameter uncertainties, significantly enhancing the robustness of the optimized design. Compared to deterministic optimization methods, the robust optimization approach increases the conditional probability of reliable reactor operation from 44.21% to 97.34%, demonstrating a remarkable improvement.
郭佳熠, 李霄鹏, 赵静云, 孙明壮, 刘云鹏, 律方成, 刘雨濛. 基于气隙结构参数不确定性的电抗器铁心减振鲁棒优化[J]. 电工技术学报, 2026, 41(1): 302-314.
Guo Jiayi, Li Xiaopeng, Zhao Jingyun, Sun Mingzhuang, Liu Yunpeng, Lü Fangcheng, Liu Yumeng. Robust Optimization of Reactor Core Vibration Reduction Based on Uncertainty of Gap Structural Parameters. Transactions of China Electrotechnical Society, 2026, 41(1): 302-314.
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2026, Vol. 41 
