Abstract
This paper presents a backtracking variable scaling hybrid differential evolution, called backtracking VSHDE, for solving the optimal network reconfiguration problems for power loss reduction in distribution systems. The concepts of the backtracking, variable scaling factor, migrating, accelerated, and boundary control mechanism are embedded in the original differential evolution (DE) to form the backtracking VSHDE. The concepts of the backtracking and boundary control mechanism can increase the population diversity. And, according to the convergence property of the population, the scaling factor is adjusted based on the 1/5 success rule of the evolution strategies (ESs). A larger population size must be used in the evolutionary algorithms (EAs) to maintain the population diversity. To overcome this drawback, two operations, acceleration operation and migrating operation, are embedded into the proposed method. The feeder reconfiguration of distribution systems is modelled as an optimization problem which aims at achieving the minimum loss subject to voltage and current constraints. So, the proper system topology that reduces the power loss according to a load pattern is an important issue. Mathematically, the network reconfiguration system is a nonlinear programming problem with integer variables. One three-feeder network reconfiguration system from the literature is researched by the proposed backtracking VSHDE method and simulated annealing (SA). Numerical results show that the perfrmance of the proposed method outperformed the SA method.
Highlights
Many mathematic algorithms have used to solve various industrial systems
1/5 success rule of evolution strategies (ESs) [20,21] is used to adjust the scaling factor to accelerate searching out the global solution
Two heuristic methods including backtracking variable scaling hybrid differential evolution (VSHDE) and simulated annealing (SA) for solving the network reconfiguration of distribution systems have been described in this work
Summary
Many mathematic algorithms have used to solve various industrial systems. Among mathematical algorithms, the evolutionary algorithms (EAs) have been widespread interest based on advantages including ease to use, robust, and so on. To overcome the drawback of the fixed and random scaling factor and alleviate the problem of selection of mutation operator in HDE, the concept of variable scaling factor is used in variable scaling hybrid differential evolution (VSHDE) method [18,19]. Improvement of power quality, cost minimization and load balance among the branches are important factors for better operation of the distribution system. These can be accomplished by optimal network reconfiguration [22]. While solving optimal network reconfiguration of the radial distribution system, minimization of active power loss, maximum node voltage deviation, number of switching operations and the load balancing index are considered as the objectives simultaneously. It is observed that the convergence property of the bracktracking VSHDE method is better than that of the SA method
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