A novel algorithm for building Z-matrix

In order to reduce the calculation amount of building Z-matrix, a new viewpoint to building Z-matrix of large-scale power network is put forward by the relationship of bus voltage, bus current injection and branch current, and employing back-forward method of flow calculating in radiate networks in the article. The algorithm could deal with mutual inductance or nonmutual inductance networks and especially "a stroke" tree set network and versatile network contained offset trees. The building process about BCIC matrix of branches current vs. node injection current and VBC matrix of node voltage vs. branches current is in detail expatiated considering branch mutual inductance. Numerical examples researched show that the novel method is effective and universal.