Fractional order differential calculus applied on decision making system to smart grid management via decision trees

Authors

DOI:

https://doi.org/10.33448/rsd-v10i16.23387

Keywords:

Decision Tree; Fractional Order Differential Calculus; Smart Grid; Kirchhoff Laws.

Abstract

This article portrays the relationship between fractional order differential calculus and the computational intelligence method, applying it to the improvement of intelligent systems. The Kirchhoff Laws, represented by second order differential equations, were solved via non-integer order differential calculus. The results obtained were used in the implementation of decision trees, which allowed the decision rules to be incorporated into the controllers. The results obtained by mathematical modeling did magnify the information extracted from Kirchhoff's Laws. Due to the gain magnitude of this information, the decision trees were obtained with greater precision and accuracy. In this way, it was achieved to build a hybrid system capable of being used in the development of controllers automata that has the lower response time and highest efficiency.

References

Abubakar, A., Grace, A., & Akinola, S. (2019). The Development of a Basic Electricity Trainer. International Journal of Advanced Engineering Research and Science, 6(5), 36-43, https://doi.org/10.22161/ijaers.6.5.5.

Azancort, Neto. J. L., Gonçalves, A. L. S., Cruz, B. C. C. da, Gomes, L. L., & Costa, D. C. L. (2021). Artificial Intelligence implemented to recognize patterns of sustainable areas by evaluating the database of socioenvironmental safety restrictions. Research, Society and Development. 10(10), e212101018841. https://doi.org/10.33448/rsd-v10i10.18841.

Baraniuk, C. (2021, August 27). “Why is there a chip shortage?”. BBC News, Business, Retrieved from https://www.bbc.com/news/business-58230388.

Brzeziński, D. W. (2016). Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas. Applied Mathematics and Nonlinear Sciences, 1(1), 23-44, https://doi.org/10.21042/AMNS.2016.1.00003.

Costa, D. C. L., Costa, H. A. de O., & Neves, L. P. (2019). Métodos Matemáticos Aplicados nas Engenharias via Sistemas Computacionais. (2nd ed.). Belém, PA, SINEPEM-IFPA.

Costa, D. C. L., Costa, H. A. de O., Castro, A. P. S., Cruz, E. C., Azancort Neto, J. L., & Cruz, B. C. C. da. (2020b). The dimensions of Mathematical and Computational Modeling prescribed to Environmental Management. Research, Society and Development, 9(10), e6939109013, https://doi.org/10.33448/rsd-v9i10.9013.

Costa, D. C. L., Costa, H. A. de O., Silva, H. C. M. da, & Silva, S. T. T. da. (2021b). Matemática Computacional Aplicada à Ciência e Tecnologia. (1st ed.). Belém, PA, SINEPEM-IFPA.

Costa, D. C. L., Costa, H. A. de O., Silva, S. T. T., (2021a). Quantum de Informação: A Entropia do Movimento sob a Óptica das Derivadas de Ordem Não Inteira. In D. M. Rosário, D. C. L. Costa, & J. C. Suzuki (Eds.), Ensino-Aprendizagem em Ciências, Matemática e Tecnologia, pp. 20-50, edusp.

Costa, D. C. L., Costa, H. A. O. de, Oliveira Neto, J. C. de & Castro, W. de O. (2020a). Análise e Decisão Sobre a Otimização de Preços em Função da Taxa de Deterioração De Produtos, in Linguagens, Culturas, Tecnologias e Inclusão, vol. 1, FFLCH/USP, pp. 321-354.

Costa, H. A. de O., Costa, D. C. L., & Meneses, L. A. de. (2021a). Interdisciplinarity Applied to the Optimized Dispatch of Integrated Electricity and Natural Gas Networks using the Genetic Algorithm, Research, Society and Development, 10(2), e42110212641, https://doi.org/10.33448/rsd-v10i2.12641.

Costa, H. A. de O., Gomes, L. L., & Costa, D. C. L. (2021b). Genetic algorithm and particle swarm applied in electric system optimization. Research, Society and Development, 10(10), e166101018871, https://doi.org/10.33448/rsd-v10i10.18871.

Ekiz, B., Baygul, O., Yalcintan, H., & Ozcan, M. (2020). Comparison of the decision tree, artificial neural network and multiple regression methods for prediction of carcass tissues composition of goat kids, Meat Science, 161(1), 1-45, https://doi.org/10.1016/j.meatsci.2019.108011.

González, I., & Calderón, A. J. (2019). Integration of open source hardware Arduino platform in automation systems applied to Smart Grids/Micro-Grids, Sustainable Energy Technologies and Assessments, 36(100557), 1-12, https://doi.org/10.1016/j.seta.2019.100557.

Hagenbeck, E., Santos, N. B., Cavalcante, R. & Macedo, H. (2016, April 1-29). Using fuzzy logic in smart homes lighting controllers, 8th Euro American Conference on Telematics and Information Systems (EATIS). Washington, DC. https://doi.org/10.1109/EATIS.2016.7520129.

Hoskins, P. (2021, September 30). “China power cuts: What is causing the country's blackouts?”. BBC News, Business, https://www.bbc.com/news/business-58733193.

Khairudin, M., Wijaya, H. A. & Muslikhin, H. A. (2019, SEP 14-15). Converter matlab fuzzy inference to arduino Csystem, The 5th International Conference on Technology and Vocational Teachers (ICTVT 2019), Yogyakarta, Indonesia. https://iopscience.iop.org/issue/1742-6596/1456/1.

Li, C., Qian, D., Chen, Y. (2011). On Riemann-Liouville and Caputo Derivatives. Discrete Dynamics in Nature and Society, 2011(562494), 1-15, https://doi.org/10.1155/2011/562494.

Li, Z., Li, J., Li, X., Yang, Y., Xiao, J., & Xu, B. (2020). Design of Office Intelligent Lighting System Based on Arduino, Procedia Computer Science, 166(1), 1-5, https://doi.org/10.1016/j.procs.2020.02.035.

Mota, C. (2021, May 31). Como seca histórica no Brasil traz risco de inflação e racionamento de energia. BBC Brasil. Retrieved from https://www.bbc.com/portuguese/brasil-57290389.

Pereira, A. S., Shitsuka, D. M., Parreira, F. J. & Shitsuka, R. (2018). Metodologia da pesquisa científica. Núcleo de Tecnologia Educacional –UFSM.

Resnick, R., & Halliday, D. (2011). Fundamentals of Physics. (9th ed. pp.690-691). Wiley.

Semenenko, J., Kolesau, A., Starikovičius, V., Mackūnas, A., & Šešok, D. (2020). Comparison of GPU and CPU efficiency while solving heat conduction problems. Mokslas – Lietuvos ateitis / Science – Future of Lithuania, 12(24), 1-5, https://doi.org/10.3846/mla.2020.13500.

Silva, G. D., Costa, D. C. L., & Costa, H. A. de O. (2019). Método de inteligência computacional aplicado na otimização da produção por meio da detecção do sistema de coordenadas do centro de massa de uma estrutura, in Gestão da Produção em Foco. (pp170-180). Poisson. https://doi.org/10.5935/978-85-7042-059-6.

Wilmot, S. (2021, November 17). “The Great Car-Chip Shortage Will Have Lasting Consequences.”. The Wall Street Journal, Heard On The Street, https://www.wsj.com/articles/the-great-car-chip-shortage-will-have-lasting-consequences-11632737422.

Published

05/12/2021

How to Cite

COSTA, H. A. de O.; GOMES, L. L.; COSTA, D. C. L.; ROCHA, E. M. .; FRANCÊS, C. R. .; ANDRADE, S. H. . Fractional order differential calculus applied on decision making system to smart grid management via decision trees . Research, Society and Development, [S. l.], v. 10, n. 16, p. e38101623387, 2021. DOI: 10.33448/rsd-v10i16.23387. Disponível em: https://www.rsdjournal.org/index.php/rsd/article/view/23387. Acesso em: 19 apr. 2024.

Issue

Section

Engineerings