Adjustment of Mutant Vector Elements of the Differential Evolution Method as Applied to Solving the Problem of Power Shortage Minimization of Electric Power Systems

Abstract

The adequacy assessment is a topical tool for planning the progress of electric power systems and includes several important calculation steps, namely: the formation of random states, minimization of power shortages, and determination of reliability indicators. Modern software complexes use various types of models for minimizing power shortages, flow, including linear and non-linear models, as well as appropriate methods for solving problems based on these models. In current paper, differential evolution methods are used to solve nonlinear problems, and three options for adapting the known differential evolution algorithms DE, aDE and jDE to solving the problems are considered. An important part of the work is the analysis of existing and proposed options for modifying the mutation process. Which can be used in the above methods. The main changes include an additional check of compliance of mutant vectors with upper and lower constrains, and in case of their discrepancy, three options for correcting mutant vectors are considered. The experiments performed involved 3 and 7 node systems and showed the advantage of the implemented methods using the correction of the elements of mutant vectors in the form of an increase in the speed of solving problems up to 47% relative to the existing correction method. (Abstract)