The power fluctuation phenomenon caused by pulsed power loads has a significant impact on the stability of weak grids. In this paper, a voltage fluctuation suppression strategy in weak grid under pulsed power load integration is proposed, utilizing the supercapacitor capacity to compensate for load power fluctuations. To enhance the stability margin and dynamic response to load power fluctuations, a combined control method of VSG control for the mean power and ripple current control for the ripple power is introduced. This paper thoroughly analyzes the control strategy and validates its effectiveness through experiments.