Virtual synchronous machines are inverters with a control algorithm that causes them to behave towards the power grid like generators. A popular way realize such synchronverters. Their has evolved over time, but all different formulations in literature share same “basic algorithm”. We investigate equilibrium points and stability of synchronverter described by this basic algorithm, when connecte...

In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems i...