in this paper, optimum location of power system stabilizers in order to damp inter-area oscillations has been investigated by using modal series method. nonlinear effects grow in dynamical behaviors of heavily loaded stressed power systems significantly. hence linear based methods and techniques no longer present clear and exact response of the systems. in this article by defining new nonlinear...

In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct solution of nonlinear fractional Riccati differential equation in sense Caputo derivative. The proposed implemented analytical solutions target equation. tested for eminent examples obtained results demonstrate accuracy efficiency by comparing it with other methods.