I. Introduction
With the rapid development of China’s economy, the construction of ultrahigh voltage (UHV) power grids is being promoted. UHV shunt reactors play a crucial role in compensating for the capacitive effects of long-distance transmission lines, optimizing reactive power distribution, and suppressing the increase of power frequency voltage. Ensuring the safe and stable operation of UHV shunt reactors is essential for the normal operation of UHV power grids [1], [2], [3], [4]. Currently, oil-immersed shunt reactors [5] are commonly applied in power grids. Operational experience has shown that insulation failure of electrical equipment is mainly caused by partial discharge-induced degradation of insulation materials [6]. Typical defects such as surface roughness and contamination during the manufacturing process of shunt reactors can lead to uneven electric fields and poor conductor contacts, which, in turn, can cause local discharges. Additionally, the magnetostrictive phenomenon [7] of ferromagnetic materials inside the reactors and Maxwell forces [8] at the interfaces of different media can induce vibration of the reactor core [9]. This is especially critical for UHV shunt reactors, as the mismatch [10] between increased capacity and volume compared to conventional reactors can result in intense vibrations, posing greater risks to insulation, making it necessary to study the generation and development mechanisms of partial discharges under vibration conditions, consider the influences of different vibration factors on discharge characteristics, select the optimal operating conditions for shunt reactors, ensure their safe and stable operation, and guarantee the normal operation of UHV transmission networks.