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Cost Reduction in Pressurized Irrigation Networks under a Rotation Schedule

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Abstract

Rotation scheduling implies a reduction in pipe flows and, consequently, in network cost. This kind of scheduling is considered rigid, but the recent development of new technologies, such as Supervisory Control And Data Acquisition systems (SCADA), has allowed high-frequency irrigation (1 day or less), making it an interesting option when either designing or managing an irrigation network. In this paper, simple formulas and relevant variables are presented to easily assess the relative flow reduction in networks under a rotation schedule. The flow reduction depends on the number of outlets supplied and the probability of these being opened. The presented equations were applied to different networks, and the results obtained were accurate, with an average error of only 5%. It was observed that the ratio between relative cost reduction and the relative flow reduction had a mean value of 0.50. This ratio might be used to roughly estimate the cost reduction from the calculated relative flow reduction. The flexibility of the networks under a rotation schedule was improved by adding just one outlet flow rate to those used to size the pipes.

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Data Availability

All the data used for this study can be provided by the authors upon request.

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Funding

This research was partially funded by “Infraestructures.cat”.

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Authors and Affiliations

  1. Department of Agricultural and Forestry Engineering, University of Lleida, Lleida, Spain

    Joaquin Monserrat & Andres Alduan

Authors
  1. Joaquin Monserrat
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  2. Andres Alduan
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Contributions

Conceptualization: Monserrat, J.; Results: Alduan, A., Monserrat, J.; Writing and editing: Monserrat, J., Alduan, A.

Corresponding author

Correspondence to Joaquin Monserrat.

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Glossary

()w

means to round down.

Ab

is the optimum on-farm irrigation block (ha).

Ap

is the size of the farm (ha).

d

is the flow rate of an outlet (l s−1).

N

is the number of farms supplied.

nb

is the number of on-farm irrigation blocks.

nb max

is the maximum number of on-farm irrigation blocks.

npr

is the number of farms under a rotation schedule.

p

is the probability of an outlet being opened.

q

is the probability of an outlet being closed.

Qd

is the flow for on-demand networks (l s−1).

Qr

is the flow for networks under a rotation schedule (l s−1).

qrg

is the flow rate of the on-farm irrigation system (l s−1 ha −1).

qsg

is the water requirements of the crops (l s−1 ha −1).

rop

is the operation index.

ton

is the time the network is working a day (h).

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Monserrat, J., Alduan, A. Cost Reduction in Pressurized Irrigation Networks under a Rotation Schedule. Water Resour Manage 34, 3279–3290 (2020). https://doi.org/10.1007/s11269-020-02612-6

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  • DOI: https://doi.org/10.1007/s11269-020-02612-6

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