With the wide access of power electronic devices in the power system

the grid-forming operation of inverter-based distributed generator（DG） has become one of the important development directions of the new power system. Due to the large number of grid-forming distributed generators in power system and the fact that the DGs often belong to different managers

the information interaction of each DG is not completely transparent

and the conventional centralized small-signal stability analysis method which relies on global information is difficult to meet the computing requirements. Therefore

in this paper the model of small-signal stability analysis for the power system with distributed generators being widely accessed is established. Then

a distributed condition of small-signal stability is proposed based on the dissipative system theory

and the solving process of network coupling parameters in distributed computing environment is derived. The test results verify the effectiveness and expansibility of the proposed distributed method for small-signal stability analysis.