<p>In view of the lack of inertial support capacity and negative damping characteristics of existing virtual inertial control strategies, a new virtual inertial control strategy based on voltage feedforward and power feedback is proposed in this paper. This strategy is proposed to provide inertial support capacity through voltage feedforward and improve steady-state inertial support capacity through power feedback to achieve dynamic and steady-state decoupling control of the virtual inertia. The strategy achieves multi-dimensional control of the virtual inertia through a voltage feedforward factor, a power feedback factor and an integral factor. The strategy is not affected by the rate of voltage change and improves the stability of the system. Taking the non-common ground three-level bi-directional DC/DC converter used in energy storage systems as an example, the stability of the energy storage system is studied, and the variation rules of the voltage feedforward factor, power feedback factor, integral factor, and load with respect to the stability of the system are obtained, which provides a basis for the parameter design of the control strategy. Finally, relevant experiments are carried out, and the experimental results verify the effectiveness of the proposed virtual inertia control strategy.</p>