A Legendre wavelet method is presented for numerical solutions of stochastic Volterra-Fredholm integral equations. The main characteristic of the proposed method is that it reduces stochastic Volterra-Fredholm integral equations into a linear system of equations. Convergence and error analysis of the Legendre wavelets basis are investigated. The efficiency and accuracy of the proposed method wa...

In this paper, the wavelet method based on the Chebyshev polynomials of the second kind is introduced and used to solve systems of integral equations. Operational matrices of integration, product, and derivative are obtained for the second kind Chebyshev wavelets which will be used to convert the system of integral equations into a system of algebraic equations. Also, the error is analyzed and ...

In this work, Artificial Intelligence (AI) based Ant Colony Optimization (ACO) algorithm is proposed for Load Frequency Control (LFC) of interconnected multi–area hydrothermal power systems. Area 1&2 are thermal power systems and area 3 is a hydro power system, all the areas are interconnected through the appropriate tie-line. Thermal and hydro power plants are applied with reheat turbine and e...

In this paper, automatic generation control (AGC) of two area interconnected power system having diverse sources of power generation is studied. A two area power system comprises power generations from hydro, thermal and gas sources in area-1 and power generations from hydro and thermal sources in area-2. All the power generation units from different sources are equipped with speed governors. A...

Genetic programming (GP) is extensively used for structure and parameter tuning of control systems. This paper describes an application of genetic programming for Pareto biobjective design of polynomial based controllers for some common time-delay systems. In this way, a multi-objective uniform-diversity genetic programming proposed and used for polynomial controller evolution. The ε-eliminatio...

technique is applied to design a Thyristor Controlled Series Compensator (TCSC)-based controller to enhance the power system stability. Two types of controller structures, namely a lead-lag (LL) and a proportional-integral-derivative (PID) are considered. Further, for the optimization of proposed controller parameters, two objective functions namely Integral Square Error (ISE) and Integral of T...

In this paper, a new analytical method based on the direct synthesis approach is proposed for the design of a multi-loop proportional-integral-derivative (PID) controller. The proposed design method is aimed to achieve a desired closed-loop response for the multiple-input, multiple-output (MIMO) processes with multiple time delays. The ideal multi-loop controller is firstly designed in terms of...

This paper presents the detailed design of Type-2 Fuzzy Logic PI controller to control the speed of a DC servomotor. The controller is explored extensively in terms of number, type of membership functions and judged in 3 different cases; which are unity step response, load disturbance and noise disturbance. The performance of the controller is measured in terms of parameters such as rise time, ...