flexible ac transmission systems (facts) controllers with its ability to directly control the power flow can offer great opportunities in modern power system, allowing better and safer operation of transmission network. in this paper, in order to find type, size and location of facts devices in a power system a dedicated improved particle swarm optimization (dipso) algorithm is developed for de...

We discuss conjugation and Dyson’s rank for overpartitions from the perspective of the Frobenius representation. More specifically, we translate the classical definition of Dyson’s rank to the Frobenius representation of an overpartition and define a new kind of conjugation in terms of this representation. We then use q-series identities to study overpartitions that are self-conjugate with resp...

the paper presents the semi-numerical solution for the magnetohydrodynamic (mhd) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. the governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (node) by using a classical similarity transformation along with appropriate boundary cond...

Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.

In this paper, an integration of a symbolic power series method - Padé approximation technique (PS - Padé), was utilized to solve a system of nonlinear differential equations arising from the similarity solution of laminar thermal boundary layer over a flat plate subjected to a convective surface boundary condition. As both boundary conditions tended to infinity, the combination of series solut...

In the present paper, we have analyzed nonlinear harmonic response in microwave, photonic devices, and waveguides, applications. Based on Frobenius power series expansions, a special software has been cast and applied with very small truncation error (less than 10 -8 ). Four basic sets of nonlinear harmonic response systems have been processed: i) New algorithms for computing twelve Jacobian el...

in this paper, the development and optimization of power distribution control strategy (pdcs) have been performed for a hybrid energy storage systems (hess) of a series hybrid electric bus (sheb). a common pdcs is based on the use of ultra-capacitor (uc) pack. a new simple pdcs is developed as a battery based one. for the battery based pdcs, four parameters are introduced for tuning the pdcs pe...