On the Properties of the Power Systems Nodal Admittance Matrix

Abstract

This letter provides conditions determining the rank of the nodal admittance matrix, and arbitrary block partitions of it, for connected AC power networks with complex admittances. Furthermore, some implications of these properties concerning Kron Reduction and Hybrid Network Parameters are outlined.Comment: Index Terms: Nodal Admittance Matrix, Rank, Block Form, Network Partition, Kron Reduction, Hybrid Network Parameter