MIRRIG: A decision support system for design and evaluation of microirrigation systems

Pedras, Celestina; Pereira, L. S.; Gonçalves, José M.

doi:10.1016/j.agwat.2008.10.006

Cited by 30 publications

(22 citation statements)

References 34 publications

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“…De acordo com Brkić (2016) e Brkić e Ćojbašić (2017), a formulação teórica de DW é implícita para a determinação do coeficiente de atrito, necessitando, segundo Pimenta et al (2018), a utilização de processos iterativos ou o diagrama de Moody para sua solução. Diversas pesquisas (VALIANTZAS;DERCAS;KARANTOUNIAS, 2007;CALEJO et al, 2008;VALIANTZAS, 2008;PEDRAS et al, 2009;AKINTOLA;GIWA, 2009; CABRERA; GÓMEZ; SORIANO, 2018) foram realizadas no sentido de determinar o diâmetro econômico para tubulações em sistemas pressurizados, contudo, a maioria dos estudos supracitados foram realizados utilizando a formulação empírica de DW, o que torna mais complexo e demorado a estimativa do coeficiente de atrito. Além disso, muitas fórmulas não levam em consideração o fator de recuperação do capital investido na aquisição da tubulação e na motobomba.…”

Section: Introductionunclassified

Modelo Matemático Para Determinação Do Diâmetro Econômico De Tubulações De Recalque

Pimenta

Robaina²,

Peiter³

et al. 2019

R_I

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MODELO MATEMÁTICO PARA DETERMINAÇÃO DO DIÂMETRO ECONÔMICO DE TUBULAÇÕES DE RECALQUE BRUNA DALCIN PIMENTA1; ADROALDO DIAS ROBAINA1; MARCIA XAVIER PEITER1; JHOSEFE BRUNING1; MIGUEL CHAIBEN NETO1 E YESICA RAMIREZ FLORES1 1Programa de Pós-Graduação em Engenharia Agrícola, Universidade Federal de Santa Maria/RS, Av. Roraima, nº 1000, Bairro Camobi, Santa Maria/RS, Brasil, CEP 97105-900, brunadpimenta@gmail.com, diasrobaina@gmail.com, mpeiter@gmail.com, jhosefe.b@gmail.com, miguelchaiben@gmail.com, yeyiramiflo@gmail.com. 1 RESUMO O conhecimento do diâmetro econômico de tubulações é de grande importância em dimensionamentos de sistemas de recalque, pois, assim, é possível otimizar os custos de sistemas de irrigação. O objetivo deste trabalho foi propor um modelo matemático para o cálculo do diâmetro econômico de tubulações de recalque utilizadas em sistemas de bombeamento de água para irrigação. Na modelagem matemática do cálculo do diâmetro econômico foi utilizada, para mensurar a perda de carga, a equação de Hazen-Williams, levando em consideração o custo das tubulações, o custo do conjunto motobomba, o custo da energia consumida e o fator de recuperação do capital. Nas simulações foram utilizadas vazões de 25 a 500 l s-1, em intervalos de 25 l s-1, fator de recuperação do capital de 10, 15 e 20%, e preço da energia consumida de US$0,09, US$0,10 e US$0,11 kWh-1, para tubos de aço com espessura de 2,00mm, 2,65mm e 3,00mm. Para validação do modelo proposto, por meio da comparação com um modelo que utiliza a formulação de Darcy-Weisbach, foram utilizadas a raiz média do desvio quadrático, a raiz média do desvio quadrático normalizado, a eficiência do modelo e o índice geral de desempenho do modelo. Os resultados indicam que o modelo proposto apresenta índice geral de desempenho próximos a 1,00 em todos os cenários, podendo, dessa forma, ser utilizado com precisão para determinação do diâmetro econômico de tubulações de recalque sem necessidade do uso de equações que necessitam de processos iterativos para sua solução. Palavras-chave: modelagem, irrigação, consumo de energia, Hazen-Williams. PIMENTA, B. D.; ROBAINA, A. D.; PEITER, M. X.; BRUNING, J.; CHAIBEN NETO, M. E FLORES, Y. R. MATHEMATICAL MODEL FOR DETERMINING THE ECONOMIC DIAMETER OF PRESSURIZED PIPES 2 ABSTRACT The knowledge of the economic diameter of pipelines is of great importance in the design of water pumping systems because it makes possible to optimize costs of irrigation systems. The objective of this work was to propose a mathematical model for the calculation of the economic diameter of pressurized pipes used in water pumping systems for irrigation. In the economic diameter calculation mathematical modeling Hazen-Williams equation was used to measure loss of load, taking into account the pipes’ cost, the cost of the motor pump, the cost of the energy consumed and the recovery factor of the capital. In the simulations, flow rates of 25 to 500 l s-1 were used, in intervals of 25 l s-1, capital recovery factor of 10, 15 and 20%, and energy price of US$0.09, US$0.10 and US$0.11 kWh-1, for steel pipes with thickness of 2.00mm, 2.65mm and 3.00mm. For validation of the proposed model, through comparison with a model using Darcy-Weisbach formulation, the mean root of the quadratic deviation, the mean root of the normalized quadratic deviation, the model efficiency and the overall performance index of the model were used. The results indicate that the proposed model presents a general index of performance close to 1.00 in all scenarios and can therefore be used with precision to determine the economic diameter of pressurized pipes without the use of equations that require processes solutions. Keywords: modeling, irrigation, energy consumption, Hazen-Williams.

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Section: Introductionunclassified

Modelo Matemático Para Determinação Do Diâmetro Econômico De Tubulações De Recalque

Pimenta

Robaina²,

Peiter³

et al. 2019

R_I

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Section: Introductionmentioning

confidence: 99%

“…One of the major advantages of using simulation models is the ability to simulate different design alternatives (PEDRAS et al, 2009;GONÇALVES et al, 2011;DAROUICH et al, 2014). In fact, the development of computational tools for irrigation has been an important area of research, with several models being developed to support irrigation management (ROLIM, 2013;STEDUTO et al, 2012;ROSA et al, 2012) and the design and management of irrigation systems (PEDRAS et al, 2009;GONÇALVES et al, 2011;VALÍN et al 2012). A large number of studies have been performed based on the use of these models (ANDARZIAN et al, 2011;ROLIM et al, 2011;DAROUICH et al, 2012;FARIA et al, 2012;VALIPOUR, 2012;RODRIGUES et al, 2013;PAREDES et al, 2015;PEREIRA et al, 2015;MIAO et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

“…For the design and evaluation of centre pivot irrigation systems, VALÍN et al (2012) developed the DEPIVOT simulation model. Additionally, the MIRRIG software (PEDRAS et al, 2009;DAROUICH et al, 2014) is a DSS (Decision Support System) that performs the design and evaluation of microirrigation systems and comprises the simulation models, a multi-criteria analysis module and a database. Software applications for travelling gun irrigation systems include the IRRIPARC (GRANIER et al, 2003), TRAVGUN (SMITH et al, 2008) and SIA (OLIVEIRA et al, 2013) models, which simulate several regulations performed in the equipment, allowing for estimates of their performance to improve the system efficiency.…”

Section: Introductionmentioning

confidence: 99%

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The design and evaluation of travelling gun irrigation systems: enrolador software

Rolim

Teixeira

2016

Eng. Agríc.

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Travelling gun irrigation systems offer great mobility and operation flexibility with a low investment cost per unit of irrigated area. However, the drawbacks include high operating pressure, low application efficiency, and high rainfall, runoff and erosion. Many of these problems can be minimized if the design and operation of travelling gun irrigation systems are carried out carefully, taking into account several design criteria that will ensure the quality of the irrigation performed by the system. The Enrolador software was developed to meet this goal. The software designs the travelling gun irrigation system, performs its simulation and its performance evaluation. This software was experimentally applied in the Alentejo region, Portugal. The design flow rates were computed for maize and sunflower crops with the soil water balance model IrrigRotation, considering a probability of non-exceedance of 75%. Meteorological data from the Évora weather station for the years 1961 to 1990 were used. Five plots with 3, 6, 9, 12 and 15 ha were chosen for the design of the irrigation systems using the software. The Enrolador software was used to select the equipment (gun, hose and reel) and the appropriate operating parameters for each plot. This software allows for the selection of the equipment that best meets the design criteria.

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“…Laybe, 1981;Radley, 2000;Theocharis et al, 2010;Planells et al, 2007;Pedras et al, 2009;Gonzalez-Cebollanda and Macarulla, 2012;Dercas and Valianthas, 2012) to evaluate the economic trade-off between investment costs and electricity costs. Although sound results were obtained from the methods the following critical assumptions were made:…”

Section: Introductionmentioning

confidence: 99%

Modelling the economic trade-offs of irrigation pipeline investments for improved energy management

Venter

Grové

2016

WSA

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Higher electricity tariffs have accentuated the importance of the trade-off between lowering investment cost by buying pipes with smaller diameters and the higher operating costs that result from the increased power requirement to overcome the higher friction losses of the thinner pipes. The Soil Water Irrigation Planning and Energy Management (SWIP-E) mathematical programming model was developed and applied in this paper to provide decision support regarding the optimal mainline pipe diameter, irrigation system delivery capacity and size of the irrigation system. SWIP-E unifies the interrelated linkages between mainline pipe diameter choice and the timing of irrigation events in conjunction with time-of-use electricity tariffs. The results showed that the large centre pivot resulted in higher net present values than the smaller centre pivot and the lower delivery capacities were more profitable than higher delivery capacities. More intense management is, however, necessary for delivery capacities lower than 12 mm•d−1 to minimise irrigation during peak timeslots. Variable electricity costs are highly dependent on the interaction between kilowatt requirement and irrigation hours. For the large centre pivot the interaction is dominated by changes in kilowatt whereas the effect of irrigation hours in relation to kilowatts is more important for smaller pivots. Optimised friction loss expressed as a percentage of the length of the pipeline was below 0.6%, which is much lower than the design norm of 1.5% that is endorsed by the South African Irrigation Institute. The main conclusion is that care should be taken when applying the friction loss norm when sizing irrigation mainlines because the norm will result in pipe diameters that are too small, consequently resulting in increased lifecycle operating costs. A clear need for the revision of the friction loss design norm was identified by this research.

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MIRRIG: A decision support system for design and evaluation of microirrigation systems

Cited by 30 publications

References 34 publications

Modelo Matemático Para Determinação Do Diâmetro Econômico De Tubulações De Recalque

Modelo Matemático Para Determinação Do Diâmetro Econômico De Tubulações De Recalque

The design and evaluation of travelling gun irrigation systems: enrolador software

Modelling the economic trade-offs of irrigation pipeline investments for improved energy management

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