Develop mathematical model for optimization of water pumping system
DOI:
https://doi.org/10.33448/rsd-v12i8.42839Keywords:
Experimental planning; Energy efficiency; Water pumping system; Computational simulation.Abstract
To develop a mathematical model for optimizing the Water Pumping System (SBA) of the 10th Sector located in the city of Belém, State of Pará, Brazil, to evaluate the influence of the variables that impact on the consumption of electric energy and prioritize energy efficiency actions. The methodology was divided into 7 stages. In Stage 1, the verification of the design, characteristics and arrangement of the motor and pump sets and the SBA hydraulic devices was carried out. In Step 2, preliminary criteria were defined to define the model's input variables and their limits. In the third (Stage 3), the hydroenergetic evaluation of the factorial design tests was carried out, through computer simulations to determine the output variable (electricity consumption) in different SBA operation routines. Then (Step 4), the optimized model was developed to determine the optimal condition of the SBA. After this step, the developed model was evaluated and adjusted (Step 5). And, finally, the response surface methodology for SBA optimization (Step 6) and model validation (Step 7) were applied in order to verify its effectiveness. Based on the results, from the developed and validated model, it was possible to verify the best energy efficiency strategy in the SBA, in addition to quantifying the increase or reduction in the consumption of electric energy.
References
Amaral, F. F., Almeida, F. A., Costa, S. C., Leme, R. C. & Paiva, A. P. (2018). Application of the Response Surface Methodology for Optimization of the Resistance Spot Welding Process in AISI 1006 Galvanized Steel. Soldag. Insp, 23(2), 129-42. http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-92242018000200129&lng=en&nrm=iso.
Alekseev, A. V. (2019). Study of the forecasting problem of energy consumption of water pumping station. E3S Web of Conferences, 102 (03001), 1-6. doi.org/10.1051/e3sconf/201910203001.
ABNT. (2017). NBR 12215-1. Projeto de adutora de água. Parte 1: Conduto forçado. Associação Brasileira de Normas Técnicas - ABNT.
Azevedo Netto, J. M., & Fernandez, M. F. (2015). Manual de Hidráulica. (9a ed.), Edgard Blücher.
Baptista, M. B. & Lara, M. M. (2003). Fundamentos de engenharia hidráulica. (2a ed.), Editora UFMG.
Brasil, Ministério do Desenvolvimento Regional. Secretaria Nacional de Saneamento (2021). Sistema Nacional de Informações sobre Saneamento - SNIS: 25º Diagnóstico dos Serviços de Água e Esgotos Brasília: SNS/MDR, 2020, 1-91. Retirado de https://www.gov.br/mdr/pt-br/assuntos/saneamento/snis/produtos-do-snis/diagnosticos/DIAGNOSTICO_TEMATICO_VISAO_GERAL_AE_SNIS_2021.pdf.
Barros Neto, B., Scarminio, I. S. & Bruns, R. E. Como fazer experimentos: pesquisa e desenvolvimento na ciência e na industria (2010). Porto Alegre, 4ed., Editora Bookman.
Box, G.E.P., Hunter, J.S. & Hunter, W.G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery, 2ed. Wiley Interscience.
Box, G. E. P. & Draper, N. R. (1987). Empirical model-building and response surfaces. Wiley.
Brandt, M., Middletom, R., Wheale, G. & Schulting, F. (2011). Energy efficiency in the water industry, a Global Research Project. Water Practice and Technology. 6 (2). doi.org/10.2166/wpt.2011.028.
Buzolin Junior, O., Barbosa, P. S. F. & Deantoni, V. B. (2016). Variáveis relativas a eficiência energética em estações elevatórias de água. Fórum Ambiental da Alta Paulista. 12, 15-30.
Chiovatto, C., & Bispo, D. (2009). Análise de Eficiência Energética em Sistema de Bombeamento – Estudo de Caso: SAE, Araguari – MG. VII Conferência de Estudos em Engenharia Elétrica. Uberlândia. Minas Gerais. 1-6.
Colombo, A. F. & Karney, B. W. (2002). Energy and costs of leaky pipes: Toward comprehensive Picture. Journal of Water Resources Planning and Management, 128 (6), 441- 450. doi.org/10.1061/(ASCE)0733-9496(2002).
Companhia de Saneamento do Pará – COSANPA (2018). Elaboração de estudo de concepção e projeto básico para ampliação do sistema de abastecimento de água do CDP – 10° Setor, localizado no bairro de Maracangalha, em Belém Pará. Hita Engenharia e Arquitetura Ltda, 1(1), 1-82.
Dutra, R. F. & Altafini, C. R. (2014). Melhorias em um Sistema de Bombeamento Municipal Visando a Eficiência Energética – Estudo de Caso. Scientia Cum Industria, 2 (1), 1-9. https://sou.ucs.br/revistas/index.php/scientiacumindustria/article/view/443/255.
Faria, L. J. G., & Rocha, S. C. S. (2000). Optimization of annatto (Bixa orellana L.) drying in fixed bed. Brazilian Journal of Chemical Engineering. São Paulo, 17 (4-7), 483-495. doi.org/10.1590/S0104-66322000000400013.
Ferreira, J. F. H., Lopes, R. M., & Pereira, J. A. R. (2020). Impacto do Desempenho Hidroenergético de Sistema de Abastecimento de Água no Consumo de energia elétrica em Campus Universitário. Revista DAE, 68 (222), 104-120. doi.org/10.36659 /dae.2020.019.
Galdamez, E. C. & Carpinetti, L R. (2004). Aplicação de técnicas de planejamento e análise de experimentos no processo de injeção plástica. Gestão e produção, 11 (1), 121-134. doi.org/10.1590/S0104-530X2004000100011.
Gomes, H. P. (2019). Abastecimento de Água. Editora Universitária/UFPB.
Gomes, H. P. (2012). Sistema de Bombeamento: Eficiência Energética. João Pessoa: Editora Universitária/UFPB.
Gomes, H. P. (2009). Sistema de Abastecimento de Água: Dimensionamento Econômico e Operação de Redes e Elevatórias. 3ed. João Pessoa: Editora Universitária/UFPB.
Gomes, H. P., & Salvino, M. M. (2000). Epanet 2.0 Brasil. Laboratório de Eficiência energética e hidráulica em saneamento, Universidade Federal da Paraíba, João Pessoa: Procel Sanear, 1-200. Retirado de http://ct.ufpb.br/lenhs/contents/documentos/programa-epanet/manual_do_epanet_brasil.pdf.
Montgomery, D. C., Runger, G. C., & Hubele, N. F. (2004). Estatística Aplicada à Engenharia. (2a ed.), LTC.
Montgomery, D. C. (2012). Desing and analysis of experiments. (8a ed.), John Wiley and sons.
Nascimento, D. L. G., Silva, A. B., Santos, A. C. P. A., Ferreira, J. F. H., & Pereira, J. A. R. (2019). Impacto da Concepção no Consumo de Energia Elétrica do Sistema de Bombeamento e Adução de Água Bruta do Rio Guamá – Belém. XVI Seminário Ibero-Americano sobre Sistemas de Abastecimento e Drenagem – SEREA, 1-8.
Normas Brasileiras - NB – 594. (1977). Elaboração de projeto hidráulico de redes de distribuição para abastecimento público.
Pereira A. S. et al. (2018). Metodologia da pesquisa científica. UFSM.
Pereira, J. A. R. & Condurú, M. T. (2014). Abastecimento de água: informação para eficiência hidroenergética. João Pessoa – Brasil: Editora Universitária – UFPB.
Xu. Q., Chen, Q., Qi, S., & Cai, D. (2015). Improving water and energy metabolism efficiency in urban water supply system through pressure stabilization by optimal operation on water tanks. Ecological Informatics, 26 (1), 111 – 116. doi.org/10.1016/j.ecoinf.2014.09.007.
Rodrigues, M. I. & Iemma, A. F. (2014). Planejamento de Experimentos e otimização de processos. (3a ed.), Casa do Espirito Amigo Fraternidade Fé e Amor.
Tarquim, A. J., & Dowdy, J. (1989). Optimal Pump Operation in Water distribution. Journal of Hydraulic Engineering. Asce, 115 (2), 158-168.
Ye Wanga, Puiga, V., & Cebrano, G. (2017). Non-linear economic model predictive control of water distribution networks. Journal of Process Control, 56(1), 23–34. doi.org/10.1016/j.jprocont.2017.05.004.
Wenyan Wu, Simpson, A. R., Asce, M., Maier, H. R., & Marchi, A. (2012). Incorporation of Variable-Speed Pumping in Multiobjective Genetic Algorithm Optimization of the Design of Water Transmission Systems. Journal of Water Resources Planning and Management, 138 (5), 543-552. doi.org/10.1061/(ASCE)WR.1943-5452.0000195.
Wu, P., Lai, Z., Wu, D., & Wang, L. (2014). Optimization research of parallel pump system for improving energy efficiency. Journal of Water Resources Planning and Management, 141 (8). https://doi.org/10.1061/(ASCE)WR.1943-5452.0000493.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Alcione Batista da Silva; José Almir Rodrigues Pereira; Aline Christian Pimentel Almeida
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
1) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2) Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3) Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
