Maximum Uncertainty Boundary of Volatile Distributed Generation in Active Distribution Network

Abstract

The increasing integration of distributed generation introduces severe challenges to the secure operation of active distribution networks (ADNs) due to volatile power injections. One way to ensure ADN operation security is to evaluate acceptable boundaries of distributed generation uncertainties, namely maximum uncertainty boundary (MUB). In this paper, a novel set-based method is proposed to formulate the MUBs of distributed generation and the operation constraints of ADNs as security sets of polytopes. The advantages of the proposed set-based model lie not only in the simplified modeling with extremely high computational efficiency, but also in the potentials to take control instructions into account. The MUBs with operation scheduling (MUB-OS) and with available operation region (MUB-AOR) are further established as security sets of polytopes solvable by the toolbox of computational geometry. This paper proves the theorems that enable the transformation of MUBs from security sets into computational geometry-based descriptions, and then develops the corresponding algorithms on MUB, MUB-OS, and MUB-AOR. A novel evaluation framework is proposed to comprehensively assess the performance of the estimated MUB. The effectiveness and efficiency of the proposed methodology are comprehensively verified on a 3-node system and a modified IEEE 33-node system.