Algorithm for Formation of Loop Admittance Matrix

West Virginia University
IEEE Transactions on Power Apparatus and Systems 10/1972; DOI: 10.1109/TPAS.1972.293495
Source: IEEE Xplore

ABSTRACT This paper derives the algorithm for building the loop admittance matrix. The algorithm is found by obtaining the dual of the algorithm for the formation of the bus impedance matrix. An application of the algorithm is presented.

  • [Show abstract] [Hide abstract]
    ABSTRACT: A mesh approach is developed for the formulation of the network equations in load-flow analysis. It is shown to converge at least as fast as the usual methods using the nodal-impedance matrix. A hybrid approach is then developed, using a combination of an impedance-matrix method and a nodal-admittance-matrix method. The hybrid exhibits very fast convergence, and is the most powerful method encountered by the authors. It needs no optimum acceleration, and the number of iterations appear to be independent of system size and configuration. Finally, an investigation into the choice of an optimum swing/reference bus produced the only reliable criterion known to the authors.
    Proceedings of The Institution of Electrical Engineers. 01/1968; 115(10).