A continuous-time hierarchical aggregation framework of dis-tributed energy resource

The high penetration of distributed energy resources brings problems including limited temporal granularity and computation burden. Thus, to coup with aforementioned issues, this paper provides a continuous-time hierarchical aggregation framework of distributed energy resource. First, the hierarchical system is modelled in a discrete-time manner. The model includes distributed energy resources cluster and virtual power plant. Then, the discrete-time model is equivalently transformed into the linear continuous-time model based on Bezier curve. Subsequently, the distributed energy resource clusters in virtual power plant are aggregated through Minkowski-sum. To overcome computational intractability, we approximate the Minkowski-sum using maximum-volume inner approximations, based on the…