COMPREHENSIVE STUDIES ON LOAD FLOW PROBLEMS.

In this paper, comprehensive studies on load flow problems are shown. First, a new fact on a Taylor series expansion of load flow equations is discovered, and using the fact a fast second order load flow method is developed, which is currently one of the fastest load flow methods in the world. The method is from several to more than ten times faster than the conventionally-used Newton-Raphson method. Then, employing the newly-found fact a powerful method for preventing oscillation and divergence of load flow solutions is developed. The method can be easily incorporated into the normal Newton-Raphson type program (in rectangular form) as a simple subroutine of only about 20 steps. Finally, a practical approach is developed for finding operable multiple load flow solutions, since the load flow equations are nonlinear. Properties of multiple load flow solutions are investigated.