适应三相不平衡主动配电网无功优化的二阶锥松弛模型

The nonconvex and nonlinear property of the reactive power optimization for the three-phase unbalanced active distribution network brings certain challenges to the global optimization solution. The traditional method uses a second-order cone relaxation method to convexity the original nonconvex optimization model, so as to achieve an effective search for the global optimal solution. However, the traditional method ignores the phase-to-phase coupling relationship of the three-phase distribution network, which leads to errors between the three-phase unbalanced scenarios and the global optimal solution. Therefore, this paper proposes a second-order cone relaxation model adapting to the reactive power optimization for the three-phase unbalanced active distribution network. By mapping the original optimization models to a high-dimensional space, the rank constraint is relaxed and the Sylvester criterion is used to form a second-order cone constraint between phases. Finally, the effectiveness of the proposed method is verified by simulation analysis of the arithmetic cases of IEEE 33-bus, IEEE 123-bus and 906-bus.