The General Solution Method of Power Network Analysis

The general solution method of power network analysis grew from the systematic investigation of the effects of changes in a power system being analyzed by mathematical methods. The investigation led to an improved method of computing load-flow studies by which successive approximations converging upon precise answers could be carried through without the solving of simultaneous equations, a method so flexible that changes in loads, ratios, phase shifts, or even the circuit offer no difficulties. The general solution, by taking advantage of a previously computed solution when computing a new solution, is particularly adapted to the computation of a family of solutions for a particular network. Investigation of the effects of changes indicated that the effect of a change in loading, transformer ratio, or phase shift upon any particular network answer could be closely approximated by multiplying the change by a coefficient. Similarly, the effect of a change in value of a circuit element, or the effect of a new circuit element added, upon any particular network answer could be approximated by multiplying a constant by a coefficient. This paper is concerned with the computation of the complete set of coefficients describing the effects of any loading, transformer ratio, phase shift, or circuit change upon any flow, voltage, or phase angle. The complete set of coefficients is termed in this paper the ``general solution´´ to the network.