Explicit load flow series and functions

When expressed in rectangular coordinates, the basic load flow equations consist of n quadratic equations for power in terms of n voltage variables. In this paper, a series reversion technique is employed to express the n voltage variables as an explicit-power series in the power variables. Two different series are presented. The first is a Taylor series for voltage in terms of power while the second has a fixed point iteration origin with near Newton properties. The series have the potential to generate explicit load flow functions which can evaluate alternate loading conditions very rapidly.