New Scheme Applicable to Network Analysis Studies, Diakoptics, and Other Fields

Through the application of linear flow graph theory to the solution of simultaneous equations, the author has developed a scheme which, in its basic algebraic manipulations, coincides with the Gaussian elimination process. Load flow studies in electrical networks, system fault and stability studies, analysis of structures (civil engineering), and numerical solution of linear differential equations give rise to a large set of linear simultaneous equations which require for their solution large and costly computers which usually are not accessible to engineers. Diakoptics, or system tearing, makes it possible to obtain those solutions with small computers in a reasonable time.