Network inverse and mesh transformation matrices

The importance of matrix inversion has become rather apparent in solving power system problems digitally. Computation of the inverse matrix is quite involved, however, and even with the largest computer, the inversion time runs high. The outright inversion of an n by n matrix requires operations proportional to the cube of n. For this reason, its use has been limited to certain repetitive-type problems such as the short-circuit study. In many instances, by taking advantage of favorable network configurations and using network techniques, matrix inversion can be obtained much more efficiently than with the outright inversion method.