Model reduction and feedback design based on singular perturbation method applied to a lumped DER-microgrid model

In the context of microgrids, distributed energy resources (DERs) are interfaced through an LCL output filter with rest microgrid. The dynamic model this and lumped microgrid constitute set differential equations employed to design controller that allows integration DER units within modern power systems. For those control strategies based on cascade structure; shunt capacitor voltage (inner) droop (outer) controllers, it is important specify under which conditions reduction authorized. work, singular perturbation method used derive allow a filter. addition, two case studies presented illustrate applicability possibility reduction.