A novel Z-matrix algorithm for distribution power flow solution

A direct and rigid algorithm approach for large-scale distribution power flow analysis is proposed in this paper. This algorithm used two primary matrices: B_I and Z_V-BC. Two matrices, which are built from the topological characteristics of distribution networks, are used to achieve the power flow solutions. B_I matrix is the bus injection to branch current matrix and the Z_V-BC matrix describes the relationship between the bus voltage mismatches and the branch current. The building algorithm can be accomplished by a simple search technique with two proposed matrices. Four connected cases are considered in this paper. The proposed algorithm is robust and accurate. Test results demonstrate the potential and validity of the proposed algorithm in distribution applications.