An innovative analying method for the scale of distribution system security region

Distribution system security region (DSSR) has been widely used to analyze the distribution system operation security. This paper innovatively defines the scale of DSSR, namely the number of boundary constraints and variables of all operational constraints, analyzes and puts forward the corresponding evaluation method. Firstly, the influence of the number of security boundary constraints and variables on the scale of DSSR is analyzed. The factors that mainly influence the scale are found, such as the number of transformers, feeders, as well as sectionalizing switches, and feeder contacts modes between transformers. Secondly, a matrix representing the relations among transformers in distribution system is defined to reflect the characteristics of network's structure, while an algorithm of the scale of DSSR based on transformers connection relationship matrix is proposed, which avoids the trouble of listing security region constraints. Finally, the proposed method is applied in a test system to confirm the effectiveness of the concepts and methods. It provides the necessary foundation for DSSR theory as well as safety analysis.