Effects of Winding Lorentz Force and Winding Structure on Shunt Reactor Core Vibration

Abstract

In previous simulation studies on reactor vibration, the influence of the winding Lorentz force (LF) has not been accurately quantified, and the effect of the winding structure has rarely been considered. This study addresses these gaps by developing a coupled electromagnetic-mechanical simulation model for a shunt reactor, incorporating both the Maxwell forces (MFs) on the core surface and the LFs of the winding. Using this model, the magnetic flux density and force distributions of the core and winding were compared, and the impacts of the winding LF and winding structure on core vibration were systematically analyzed. The results demonstrate that the MFs on the core surface are markedly larger than the LFs of the winding. The winding LF has a negligible influence on core displacement and vibration amplitude, with relative errors of less than 2% when the LF is excluded from the model. In contrast, while the winding structure has a minimal effect on the peak displacement of the core, it notably affects the vibration amplitude, particularly at the frequency of 100 Hz. Modal analysis further reveals that the absence of the winding structure leads to a substantial reduction in the core’s axial natural frequency. This highlights the winding structure as a critical factor in reactor vibration simulations. The findings of this study provide valuable insights for advancing reactor vibration analysis and control strategies while also highlighting the critical importance of accurately modeling both electromagnetic and structural interactions in future research.