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A hybrid algorithm for the unit commitment problem with wind uncertainty

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Abstract

This paper applies the sine cosine algorithm to the operation planning of wind-penetrated thermoelectric systems considering wind-related uncertainties, which is a mixed-integer nonlinear programming problem often referred to as thermal unit commitment with power integration. The proposed method, denominated hybrid sine cosine algorithm (HSCA), is based on heuristic information derived from sensitivity indexes obtained from priority lists and power dispatch evaluations regarding the thermoelectric system operation. Wind uncertainty was managed by two methodologies, which are extensions of the HSCA, through a set of predicted generation scenarios. One is based on the median wind power generation (M-HSCA), whereas the other is based on the probability distribution matrix (PDM-HSCA). Results have shown that the proposed method is reliable since it guarantees the attendance of all constraints. Furthermore, concerning the operational cost values obtained, it proved itself competitive when compared to other methods found in the literature.

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Acknowledgements

The authors thank FAPEMIG and the Electrical Engineering Postgraduate Program of the Federal University of Juiz de Fora for supporting the development here presented.

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Correspondence to Ramon Abritta.

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This work is related to the project under Grant Number PPM-00184-17 (supervised by FAPEMIG)

A Unit commitment and dispatch

A Unit commitment and dispatch

See Tables 14, 15 and 16.

Table 14 Generation matrix with 10 units and no wind generation
Table 15 Generation matrix with 20 units and no wind generation
Table 16 Generation matrix with 40 units and no wind generation

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de Oliveira, L.M., Junior, I.C.S., Abritta, R. et al. A hybrid algorithm for the unit commitment problem with wind uncertainty. Electr Eng 104, 1093–1110 (2022). https://doi.org/10.1007/s00202-021-01360-z

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