A Review of Radiality Constraint Modeling in Distribution Network Reconfiguration

Ensuring the radial operation of the distribution network is a problem that must be considered in the operation and control operation of the distribution network, and with the increasing penetration rate of distributed generators in the distribution network, the operation planning and fault recovery scenarios under the radial constraints of the distribution network are becoming more and more complex. This paper summarizes the radial characteristics of traditional and active distribution networks and the modeling methods of radial constraints in the operation of existing distribution networks. Firstly, the sufficient and necessary conditions of radial constraints in the distribution network are summarized. Then, in detail, the "L 1" condition, spanning tree model, virtual network model, and other radial constraint models of distribution network and their improvement methods are introduced. Through the classification of radial application scenarios, the logical relationship between nodes and branches in the existing radial topology is summarized, and the characteristics of radial constraint models in the operation of various distribution networks are compared from the aspects of the number of variables, the number of formulas, and the applicability of various scenarios. Finally, the selection methods of radial constraint models for various scenarios and the characteristics of radial constraint models are summarized, and the challenges and directions of radial constraint modeling in distribution networks in the future are prospected.