The power grid in a typical micro distribution system is non-ideal, presenting itself as a voltage source with significant impedance. Thus, grid-connected convertersinteract with each other via the non-ideal grid. In this study, we consider the practical scenario of voltage-source converters connected to a three-phase voltage source with significant impedance. We show that stability can becompromised in the interacting converters. Specifically, the stable operating regions in selected parameter space maybe reduced when grid-connected converters interact undercertain conditions. In this paper, we develop bifurcationboundaries in the parameter space with respect to Hopftypeinstability. A small-signal model in the dq-frame isadopted to analyze the system using an impedance-based approach. Moreover, results are presented in design-orientedforms so as to facilitate the identification of variation trends of the parameter ranges that guarantee stable operation.