A Novel Algorithm for Building Z-Matrix of Electric Power Network including CCVS

The branch voltage of current-controlled voltage sources (CCVS) is controlled by the current of another branch, which makes it difficult to build node impedances matrix (Z-bus matrix) according to such electric networks. To solve this problem, a novel algorithm for building Z-bus matrix is put forward. The relationships between the current injection, node voltage, branch current and branch voltage are lucubrated to in this paper. Two transitional matrices, M_IJ and M_VU are introduced. The calculated results between these two matrices cooperating to the kron methods make it to build Z-bus matrix. This algorithm can easily deal with large networks containing CCVS branches. The main structure of the algorithm is illustrated with the help of a 5-bus system and is validated by several IEEE testing systems. So it will be a new sustaining tool for further research with Z-bus matrix.