Matrix methods for the evaluation of simultaneous faults in three-phase systems

摘要

The paper illustrates two methods whereby the steady-state impedance matrix in terms of symmetrical component parameters may be obtained for a 3-phase system with multiple unsymmetrical faults. In the first method all faults are replaced by a balanced condition for which the symmetrical component impedance matrix is easily obtained using Stigant's rule. This matrix is then transformed to that of the faulted network by means of a connection matrix and relationships developed by Kron. The second method shows how Stigant's rule may be used to write down the impedance matrix of the symmetrical component network representing the unsymmetrical system.