Solution of Load-Flow Problems by Partitioning Systems into Trees

This paper presents a method of calculating load flows by partitioning a system into subsystems of tree form, for which the node-voltage equations can be solved very efficiently by optimally ordered Gaussian elimination. The solution for the complete system is then obtained by coupling direct solutions for the trees by a blockiterative method. Results comparing the block method with the accelerated Gauss-Seidel method show that the block method is considerably faster.