Fourier series and Chebyshev polynomials applied to real-time water demand forecasting

Relevance of water demand forecasting increases with complexity of water supply systems. Several methods for water demand forecasting have been proposed in literature, mostly based on time-series analysis and machine learning, the later needing more detailed study of involved variables and choice of...

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Detalhes bibliográficos
Autores: ARTURO RAFAEL PEREZ GARCIA, Bruno Brentan, Edevar Luvizotto Jr., Joaquín Izquierdo
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:México
Recursos:Universidad de Guanajuato
Repositorio:Repositorio Institucional de la Universidad de Guanajuato
Idioma:inglés
OAI Identifier:oai:repositorio.ugto.mx:20.500.12059/1759
Acesso em linha:http://repositorio.ugto.mx/handle/20.500.12059/1759
Access Level:acceso abierto
Palavra-chave:info:eu-repo/classification/cti/1
Water supply networks
Real-time forecasting
Water demand
Fourier series
Chebyshev polynomials
Redes de abastecimiento de agua
Previsión en tiempo real
Demanda de agua
Series de Fourier
Polinomios de Chebyshev
Descrição
Resumo:Relevance of water demand forecasting increases with complexity of water supply systems. Several methods for water demand forecasting have been proposed in literature, mostly based on time-series analysis and machine learning, the later needing more detailed study of involved variables and choice of the best configuration to produce significant results. As an alternative to use of machine learning methods, this work presents two known meth-ods of data approximation, namely, discrete Fourier series and Chebyshev polynomials, to real-time demand forecasting, through real-time updating of some adjustable coefficients. A real district of a water supply system is analyzed using these methods, showing a good approximation between measured and forecasted values. The most interesting point of ap-plication is agility of calculation and the fact that there is no need to have information on factors influencing water demand