This paper describe the reactive power flow solution based BBO to amend the performance of the power system. Biogeography-based optimization is incorporating flexible AC transmission systems (FACTS). Static Synchronous Series Compensator (SSSC) is type of FACTS device used in this paper. In this BBO Store best parent solution and apply mutation and migration process on remaining parents to prod...

In recent work on the area of approximation methods for the solution of nonlinear differential equations, it has been suggested that the so-called generalized Taylor series approach is equivalent to the homotopy analysis method. In the present paper, we demonstrate that such a view is only valid in very special cases, and in general the homotopy analysis method is far more robust. In particular...

Power Series Solution method has been traditionally used to solve Linear Differential Equations: in Ordinary and Partial form. However, despite their usefulness the application of this method has been limited to this particular kind of equations. We propose to use the method of power series to solve non-linear partial differential equations. We apply the method in several typical non linear par...