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In this paper, we provide an extension of the scalable algorithm proposed in(Riverso et al., 2015) for the design of Plug-and-Play (PnP) controllers for ACIslanded microGrids (ImGs). The method in (Riverso et al., 2015) assumes DGUsare arranged in a load-connected topology, i.e. loads can appear only at theoutput terminals of inverters. For handling totally general interconnections ofDGUs and loads, we describe an approach based on Kron Reduction (KR), a networkreduction method giving an equivalent load-connected model of the original ImG.However, existing KR approaches can fail in preserving the structure oftransfer functions representing transmission lines. To avoid this drawback, weintroduce an approximate KR algorithm, still capable to represent exactly theasymptotic periodic behavior of electric signals even if they are unbalanced.Our results are backed up with simulations illustrating features of the new KRapproach as well as its use for designing PnP controllers in a 21-bus ImGderived from an IEEE test feeder.

Kron reduction methods for plug-and-play control of ac islanded microgrids with arbitrary topology