Virtual Synchronous Generator(VSG)

as one of the primary technologies in grid-forming controls

provides inertia support to the power grid. However

due to the limited capacity of individual converters

when larger inertia support is required

multiple VSGs must run in parallel

making the coordinated control of multiple VSGs a subject of significant interest. In this regard

a state-space model for multiple VSGs in parallel is established

and the system stability is analyzed through the eigenvalues of the state variable matrix. Concurrently

a coordinated control strategy for multiple VSGs based on model predictive control is proposed

which introduces the angular frequency deviation and power angle difference as performance indicators to design the objective function. The optimal active power increment required is solved

and the output angular frequency is dynamically adjusted through the power-frequency coefficient

enabling active support for the output frequency and effectively suppressing system frequency fluctuations caused by VSG paralleling

thus the grid stability is enhanced. The results indicate that

compared with the conventional VSG paralleling systems

the proposed MPC-VSG parallel control method can shorten the transient response time of the system and improve its robustness under transient conditions. The simulation result confirms the effectiveness of the proposed approach.