Abstract: With more and more renewable energy devices and loads connected to the traditional power grid by

power electronic equipment，the negative resistance characteristics of power electronic equipment lead to the weak

inertia characteristics of high power electronic power systems. Therefore，the stability of the multiple-grid-connectedconverter system（MGCCS）with small-signal is facing severe challenges. So the small-signal stability analysis of MGCCS in time-domain and frequency-domain has become a hot topic. Small-signal stability analysis method was introduced from single-grid-connected-converter system（SGCCS）and extended to the field of MGCCS. The basic principles and application scope of the existing analysis methods were classified and summarized. Finally，the problems and challenges were put forward，and the future research direction was prospected.

      Key words: multiple-grid-connected-converter system（MGCCS）；time-domain analysis；frequency-domain

analysis；small-signal stability