Artificial Bee Colony Algorithm for Discrete Optimal Reactive Power Dispatch

Abstract

In this paper one of the reliable and effective optimization algorithms called "artificial bee colony" (ABC) for solving the optimal reactive power dispatch (ORPD) problem with the discrete and continuous control variables in an electric power system is proposed. In this work ABC algorithm is used to find the settings of control variables such as generator voltages, tap positions of tap changing transformers and the number of capacitors banks to be switched, for optimal reactive power dispatch. The original ABC algorithm designed for the continuous nature of optimization problems, cannot be used for discrete cases; but the real ORPD problem has two different natures of control variables (discrete and continuous), for this reasons a simple rounding operator is included in the main steps of original ABC algorithm to ensure the discretization process. Then, the feasibility and performance of the proposed algorithm are verified by the serial simulations on the IEEE 14-bus, IEEE 30-bus and IEEE 57-bus power systems. The numerical results are compared to those yielded by the other recently published evolutionary optimization algorithms in the literature. This comparison shows that the ABC algorithm is superior to the other mentioned algorithms and can be efficiently used for solving the discrete ORPD problem.

Optimization of Electrical Networks Modes on Transformation Coefficients of Transformers

“…is the sum of penalty functions taking into account constraints (3), (4)., (5), (7) and 8 (13) and calculation of steady state of electrical network by the Newton-Raphson method at obtained transformation coefficient of transformer are made.…”

“…To date, as the results of the work of many scientists and specialists around the world, many methods and algorithms for solving the problem under consideration have been developed. They effectively use various approaches and optimization methods, such as classical [1,2,13,14], heuristic [3,4], artificial intelligence [5,6,7], etc.…”

“…Most of the above mentioned works provide for the optimization of modes of electrical networks on reactive power or voltage of power plants and reactive power compensators [5][6][7]12]. At the same time, it is possible to separate a number of works, in particular, [8][9][10][11], which have made a significant contribution to the development of the theory of optimization on transformation coefficients of transformers.…”

A novel hybrid approach based artificial bee colony and salp swarm algorithms for solving ORPD problem

“…A novel hybrid approach based artificial bee colony and salp swarm algorithms for… (Souheil Salhi) 1827 power flow (OPF) [18] and ORPD [19] due to its sample implementation. Referring to a huge number of works regarding ABC algorithm applications, practical studies have brought into focus that this algorithm is weak in the exploitation of promising solutions and powerful in the exploration of search space [20]- [22].…”

Hybrid PSO-WOA for Solving ORPD Problem under Unbalanced Conditions

“…Over the past few years, various approaches have been effectively developed to pact the ORPD issue in an attempt to mitigate the aforesaid disadvantages namely, GAs [9], GSA [15] DE [10], SA [10], ABC [14], PSO [24], HSA [13], and GWO [16]. In the last decade, widespread competitions among researchers have been performed, in an attempt to search for a further appropriate/consistent method to handle the various optimization issues in power system [17].…”