Application the differential evolution for solving the problem of minimizing the power shortage of electric power systems

D.V Iakubovskii,D.S Krupenev,D.A Boyarkin

doi:10.1051/e3sconf/201911403002

Abstract

Based on the experience of domestic and foreign researchers, it is known that there are various mathematical models, software systems, and optimization methods used to solve the set tasks for assessing the resource adequacy of electric power systems (EPS). However, the continuous development of EPS leads to the complication and integration of systems against the background of which it becomes necessary to take into account an increasing number of its elements and parameters in one task. Thus, for more effective (in terms of speed and accuracy) solutions of modified models, it is required to analyze and search the most appropriate set of optimization methods. In this connection, the purpose of this study is to analyze the applicability and the effectiveness of applying the method of differential evolution and gradient optimization methods for the model of minimizing the power deficit, which should be also compared. The article considers the analysis of the results of the work that optimization methods, studies were conducted on a test isolated EPS, with various tuning parameters. As a result, it was confirmed that these methods could be used to solve the problem. From the point of view of accuracy and resources expended on calculations, the most efficient among the implemented methods was the method of differential evolution, which was confirmed by numerical experiments on the small systems.

Highlights

Today's electricity consumers place high demands on ensuring the reliability of the electricity supply
Applicability and efficiency of the method often depend on the problem being solved; this article covers the method of differential evolution in its original form, and its comparative analysis together with the method of conjugate gradients with respect to the problem of minimization of the power shortage is carried out
The speed and accuracy of solving the problem of minimizing the power shortage have an effect on obtaining adequate values of the electric power system (EPS) reliability indicators and on further solving of the subsequent problems, for example, the justification of the EPS redundant generating capacity

Summary

Introduction

Today's electricity consumers place high demands on ensuring the reliability of the electricity supply This is due to the cost of a power failure with economic damage and situations dangerous to life and health of people that ensue. The quality of the results, including the speed and accuracy of the calculation, the ability to solve problems with an increasing number of optimized parameters, depends on the applied optimization method and the correctness of the mathematical model. There are 5 efficient modifications of the method available but besides that, a great increase in the method's performance can be achieved by adopting the technology of parallel and vector calculations As it is known, heuristic methods often have low performance in comparison to direct optimization methods, because they mainly use the stochastic approach and more evaluations of the objective function of each formed solution. Applicability and efficiency of the method often depend on the problem being solved; this article covers the method of differential evolution in its original form, and its comparative analysis together with the method of conjugate gradients with respect to the problem of minimization of the power shortage is carried out

Problem statement

Minimizing power shortage

The algorithm of the adopted method of differential evolution

Method

Conclusion

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