The power grid in a typical micro distribution\r\nsystem is non-ideal, presenting itself as a voltage source\r\nwith significant impedance. Thus, grid-connected converters\r\ninteract with each other via the non-ideal grid. In this\r\nstudy, we consider the practical scenario of voltage-source\r\nconverters connected to a three-phase voltage source with\r\nsignificant impedance. We show that stability can be\r\ncompromised in the interacting converters. Specifically, the\r\nstable operating regions in selected parameter space may\r\nbe reduced when grid-connected converters interact under\r\ncertain conditions. In this paper, we develop bifurcation\r\nboundaries in the parameter space with respect to Hopftype\r\ninstability. A small-signal model in the dq-frame is\r\nadopted to analyze the system using an impedance-based\r\napproach. Moreover, results are presented in design-oriented\r\nforms so as to facilitate the identification of variation\r\ntrends of the parameter ranges that guarantee stable\r\noperation.
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