Abstract：Excessive vibration is a persistent issue in the operation of oil-immersed shunt reactors and poses a significant threat to their mechanical reliability and long-term stability. The reactor core, which is continuously subjected to periodic electromagnetic forces and magnetostriction, is identified as the primary source of vibration. Conventional vibration reduction strategies typically take dynamic response indicators such as acceleration, velocity, and displacement as optimization objectives. Although these indices are widely used and intuitive, they merely describe the external dynamic responses and fail to capture the intrinsic essence of vibration, which is the conversion of electromagnetic energy into mechanical energy. As a result, the optimization outcomes often suffer from limited effectiveness and weak physical interpretability, while problems such as localized energy concentration and insufficient global suppression remain unresolved. To overcome these deficiencies, this paper proposes a novel vibration reduction method for oil-immersed shunt reactor cores by adopting vibration power flow, an energy-based indicator, as the optimization objective. Power flow, defined as the product of force and velocity, directly describes the energy transfer pathway during vibration and provides a more fundamental criterion for optimization. A theoretical framework is first developed to analyze power flow behavior in the energy conversion process of the core, followed by the establishment of a calculation method suitable for oil-immersed reactor cores. Based on this, a multi-objective optimization model is formulated, with both the total power flow amplitude and the maximum power flow density serving as target functions. Engineering constraints are included to maintain the inductance deviation within ±5% of the design value and limit the maximum magnetic flux density to 1.65 T to avoid saturation and excessive loss. A finite element model is then constructed to simulate the coupled electromagnetic-structural vibration of the reactor. The adjustable gaps in the core limb are chosen as design variables, and a particle swarm optimization (PSO) algorithm with adaptive inertia weight is employed to search for the optimal parameter set. Penalty functions are introduced to handle constraints, ensuring the optimization process is both efficient and feasible. Simulation and optimization results validate the effectiveness of the proposed strategy. Compared with the original design, the optimized configuration achieves a 10.99% reduction in total power flow amplitude and a 10.80% reduction in maximum power flow density. At the same time, dynamic response indicators are significantly improved: the peak acceleration decreases by 10.90%, while the average vibration velocity is reduced by 8.65%. Furthermore, comparative studies reveal that conventional acceleration-based optimization, while capable of lowering response magnitudes, tends to increase power flow indices and aggravate local energy concentration. This contrast highlights the superiority of the power-flow-based approach, which simultaneously achieves global vibration suppression and local energy redistribution. Overall, the research establishes a comprehensive vibration reduction framework that integrates energy-level and dynamic-level perspectives. The findings provide new theoretical foundations and practical guidance for the vibration control and structural optimization of oil-immersed shunt reactors, ultimately enhancing their reliability and long-term stability in power system applications.
郭佳熠, 李霄鹏, 朱凯壮, 刘云鹏, 律方成, 刘雨濛. 油浸式并联电抗器铁心振动功率流特性研究及其优化设计[J]. 电工技术学报, 2026, 41(15): 5206-5217.
Guo Jiayi, Li Xiaopeng, Zhu Kaizhuang, Liu Yunpeng, Lü Fangcheng, Liu Yumeng. Research and Optimization Design of Vibration Power Flow Characteristics of Core in Oil Immersed Shunt Reactor. Transactions of China Electrotechnical Society, 2026, 41(15): 5206-5217.
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2026, Vol. 41 
