Despite the fact Laplace transform has an appreciable efficiency in solving many equations, it cannot be employed to nonlinear equations of any type. This paper presents a modern technique for employing LT time-fractional reaction–diffusion model. The new approach is called Laplace-residual power series method (L-RPSM), which imitates residual determining coefficients solution. proposed also ad...

This paper discusses power flow control by use of controllable series devices. Through a sensitivity based method the control variables, e.g. series capacitor reactances or phase shifter angles, can be calculated quickly and accurately to obtain desired line flows within the load flow sensitivity boundaries. This method is applied to realistic power flow control scenarios in a simple power system.

In order to provide an efficient conversion and utilization of solar power, solar radiation datashould be measured continuously and accurately over the long-term period. However, the measurement ofsolar radiation is not available to all countries in the world due to some technical and fiscal limitations. Hence,several studies were proposed in the literature to find mathematical and physical mod...

The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...

In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...

this paper presents a new control method for a three-phase four-wire unified power quality conditioner (upqc) to deal with the problems of power quality under distortional and unbalanced load conditions. the proposed control approach is the combination of instantaneous power theory and synchronous reference frame (srf) theory which is optimized by using a self-tuning filter (stf) and without us...

this paper presents a method for damping of low frequency oscillations (lfo) in a power system. the powersystem contains static synchronous series compensators (sssc) which using a chaotic harmony searchalgorithm (chsa), optimizes the lead-lag damping stabilizer. in fact, the main target of this paper isoptimization of selected gains with the time domain-based objective function, which is solve...