Building algorithms for the formation of the bus hybrid matrix

Two algorithms have been developed in this paper to build the bus hybrid matrix through a step-by-step addition of a transmission line to the power system with consideration of mutual couplings between the lines. Formulas have been derived for the addition of a tree branch and a link, when the buses of the added line are referred to impedance and/or admittance form. The procedure developed eliminates the transformation and the tearing algorithms.