The battery energy storage device is an effective means to suppress the power fluctuation of the wind farm,forming a typical power electronic system with the wind farm,and the complex coupling characteristics bring the risk of resonance instability.First of all,by constructing the equivalent model of the main circuit connected to the wind farm and the sending line of the battery energy storage device,and using the state space modelling method is established the theoretical analysis model of the whole system.Secondly,the modal analysis method is used to identify the key influencing factors and their influencing divisors that cause system resonance instability,and the root locus method is used to study the influence laws of key factors such as the main circuit and control system parameters.Finally,based on the electromagnetic transient simulation model,the correctness of the built model is verified from the aspects of main circuit and control system parameters.The results show that the reduction in the strength of the AC system,the parameters of the phase-locked loop controller,and the simultaneous inversion of the wind farm and energy storage have a significant impact on the stability.At the same time,the resonance instability frequency predicted by the theoretical model and the instability frequency obtained by the electromagnetic transient simulation model are basically the same,with a relative error of less than 2.0%.