The new power system is facing emerging weak-grid characteristics and stability issues. These challenges were addressed by introducing a parameter adaptive adjustment virtual synchronous generator （VSG）control strategy for the control of grid-connected converters. By analyzing the root locus characteristics of the VSG, a parameter adaptive adjustment scheme for parameters such as virtual damping and virtual inertia was formulated, and a bifurcation analysis was conducted on key parameters in the control loop, revealing the patterns of bifurcation phenomena. The adaptive adjustment range for virtual inertia and virtual damping was determined. The experimental results demonstrate that the adaptive adjustment scheme can more quickly suppress frequency fluctuations, reduce overshoot, and improve the system stability. This research is of significant importance for improving the stability and reliability of new energy grid-connected systems.