Research on Safety Domain Modeling of Low-Voltage Distribution Substations Based on High-Dimensional Safety Region Analysis

A low-voltage distribution substation is the last link before electricity transmission from the high-voltage grid to end-users. It is responsible for converting high-voltage electricity into low-voltage electricity suitable for domestic and commercial use and plays a central and critical role in the power system. The traditional modeling method is difficult to directly observe and solve the complete safety boundary expression in the high-dimensional state space, so the solution efficiency is greatly reduced. To address the above problems, this paper proposes a low-voltage distribution substation station safety domain (LVDS-SR) modeling method based on the high-dimensional safety domain definition method. In this paper, the concepts of safety work point, safety boundary, and safety domain are first defined. Then, the general mathematical model, edge points, and safety boundaries of the substation system are solved accurately by the high-dimensional safety domain definition and solution method, to obtain the safety domain model. The validity of the model and method is verified by arithmetic examples. Comparison with existing studies shows that the complete analytical formulation of the high-dimensional security domain is obtained for the first time in this paper, and the linearization method is used to improve the solution efficiency at the same time. This study provides a new analytical tool for the reliable and stable operation of low-voltage distribution substations, which has important theoretical and practical application value for the security assessment and optimization of power systems.