Flow functions, control flow functions, and the reach control problem

Optimal Power Flow With Four Conflicting Objective Functions Using Multiobjective Ant Lion Algorithm: A Case Study of the Algerian Electrical Network

In this study, a multiobjective optimization is applied to Optimal Power Flow Problem (OPF). To effectively achieve this goal, a Multiobjective Ant Lion algorithm (MOALO) is proposed to find the Pareto optimal front for the multiobjective OPF. The aim of this work is to reach good solutions of Active and Reactive OPF problem by optimizing 4-conflicting objective functions simultaneously. Here a...

A numerical approach on Hiemenz flow problem using radial basis functions

Optimal power flow based on gray wolf optimization algorithm using probability density functions extraction considering wind power uncertainty

In recent years, utilization of the renewable based power plants has become widespread in the power systems. One of the most widely used renewable based power plants is wind power plants. Due to the utilization of wind energy to generate electricity, wind turbines have not emitted any environmental pollution. Thus, in addition to economic benefits, utilization of these power plants is of great ...

Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder

In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper si...

A meshless method for optimal control problem of Volterra-Fredholm integral equations using multiquadratic radial basis functions

In this paper, a numerical method is proposed for solving optimal control problem of Volterra integral equations using radial basis functions (RBFs) for approximating unknown function. Actually, the method is based on interpolation by radial basis functions including multiquadrics (MQs), to determine the control vector and the corresponding state vector in linear dynamic system while minimizing...