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A Technique for Multicriteria Structural Optimization of a Complex Energy System Based on Decomposition and Aggregation

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Recent Research in Control Engineering and Decision Making (ICIT 2020)

Abstract

A class of architectures, called group hybrid microgrid, is identified within the framework of the system approach. The connection between components of hybrid microgrids of these groups is realized by a common DC bus. Functions of inversion, accumulation and reservation by diesel generators are given to the corresponding equipment of only one hybrid microgrid. A selection algorithm of variants for decomposition of a power supply system, based on group hybrid microgrid, according to two criteria has been developed. These criteria are the minimum length of power transmission lines from generating equipment to consumers and the degree, to which consumers’ powers in load centers conform to powers of supplying them group hybrid microgrids. It is proposed to use an optimization assignment model, formulated as a Boolean linear programming model, to solve this problem. The mechanism for solution of this optimization problem, which used the genetic algorithm with the replacement of several criteria with single super criterion, is described. At the same time a procedure for the formation of a fuzzy version of the constraint mechanism is developed. An example of the problem solution with given numbers of hybrid microgrids and load centers is considered. The smallest values of criteria, obtained for different results of the decomposition of the initial hybrid microgrids’ set, are shown as a result of using of proposed algorithms.

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Correspondence to Ekaterina Mirgorodskaya .

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Mirgorodskaya, E., Mityashin, N., Tomashevskiy, Y., Petrov, D., Vasiliev, D. (2021). A Technique for Multicriteria Structural Optimization of a Complex Energy System Based on Decomposition and Aggregation. In: Dolinina, O., et al. Recent Research in Control Engineering and Decision Making. ICIT 2020. Studies in Systems, Decision and Control, vol 337. Springer, Cham. https://doi.org/10.1007/978-3-030-65283-8_17

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