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Calibration and error investigation of large tipping bucket flow meters

Schwamback, Dimaghi LU orcid ; Anache, Jamil A.A. and Wendland, Edson C. (2022) In Catena 209.
Abstract

Inherent errors in tipping bucket flow meters may limit monitoring data reliability. In this work, we perform the static and dynamic calibration of four large tipping buckets, apply different regression curves and investigate the possible measurement error sources. The volumetric capacity (static calibration) of each piece of equipment was determined. They were tested (dynamic calibration) under ten flow intensities, ranging from low to high rainfall intensities (return period larger than 100 years). For each flow rate, the measurement was recorded during six time intervals (1, 2, 5, 10, 20 and 30 min) and four regression equations - linear, potential, T vs. 1/Q and quadratic - were tested. According to the static calibration, the... (More)

Inherent errors in tipping bucket flow meters may limit monitoring data reliability. In this work, we perform the static and dynamic calibration of four large tipping buckets, apply different regression curves and investigate the possible measurement error sources. The volumetric capacity (static calibration) of each piece of equipment was determined. They were tested (dynamic calibration) under ten flow intensities, ranging from low to high rainfall intensities (return period larger than 100 years). For each flow rate, the measurement was recorded during six time intervals (1, 2, 5, 10, 20 and 30 min) and four regression equations - linear, potential, T vs. 1/Q and quadratic - were tested. According to the static calibration, the equipment has a volumetric capacity of 11.63 mL (TB1), 64.16 mL (TB2), 139.86 mL (TB3) and 660.95 mL (TB4). When tested under different flow rates (dynamic calibration), underestimations were identified according to the size of the cavity: TB1 (3.31%), TB2 (5.75%), TB3 (9.33%) and TB4 (13.57%). Among the alternative curves, linear regression showed the best correlation (above 99%) with the monitored data. Using this method, the measurement errors were reduced to −1.35% (TB1), 0.04% (TB2), 3.18% (TB3) and 3.73% (TB4). We investigated how the different variables (tipping speed, cavity volumetric capacity and time interval of data collection) influenced the error. Errors follow a parabolic function of tipping velocity and a linear function of cavity volumetric capacity. The time interval of data collection interfered in the data sampled, however no statistical correlation was found. Among those variables, cavity size is the most important one. Given its low cost we aimed to minimize the inherent error in large tipping buckets flow meters and encourage its application, increasing in-situ collection of hydrological data.

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Contribution to journal
publication status
published
subject
keywords
Device, Error source, In-situ monitoring, Nominal volumetric capacity, Runoff, Systemic errors
in
Catena
volume
209
article number
105834
publisher
Elsevier
external identifiers
  • scopus:85118540349
ISSN
0341-8162
DOI
10.1016/j.catena.2021.105834
language
English
LU publication?
no
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Funding Information: The authors would like to thank the São Paulo Research Support (FAPESP, processes 2015/03806-1 and 2019/24292-7) and the Brazilian National Council for Scientific and Technological Development (CNPq, grant numbers 150057/2018-0 and 165101/2018-0) for the financial support that made the present study possible. This study was also financed in part by the Coordination for the Improvement of Higher Education Personnel (CAPES, Finance Code 001). Finally, the authors acknowledge the Graduate Program in Hydraulic Engineering and Sanitation – PPGSHS () for the scientific support. Funding Information: The authors would like to thank the S?o Paulo Research Support (FAPESP, processes 2015/03806-1 and 2019/24292-7) and the Brazilian National Council for Scientific and Technological Development (CNPq, grant numbers 150057/2018-0 and 165101/2018-0) for the financial support that made the present study possible. This study was also financed in part by the Coordination for the Improvement of Higher Education Personnel (CAPES, Finance Code 001). Finally, the authors acknowledge the Graduate Program in Hydraulic Engineering and Sanitation ? PPGSHS () for the scientific support. Publisher Copyright: © 2021 Elsevier B.V.
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11fd99ac-5f50-4ccc-a617-243423ea4446
date added to LUP
2024-01-10 17:25:16
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2024-01-15 09:52:32
@article{11fd99ac-5f50-4ccc-a617-243423ea4446,
  abstract     = {{<p>Inherent errors in tipping bucket flow meters may limit monitoring data reliability. In this work, we perform the static and dynamic calibration of four large tipping buckets, apply different regression curves and investigate the possible measurement error sources. The volumetric capacity (static calibration) of each piece of equipment was determined. They were tested (dynamic calibration) under ten flow intensities, ranging from low to high rainfall intensities (return period larger than 100 years). For each flow rate, the measurement was recorded during six time intervals (1, 2, 5, 10, 20 and 30 min) and four regression equations - linear, potential, T vs. 1/Q and quadratic - were tested. According to the static calibration, the equipment has a volumetric capacity of 11.63 mL (TB1), 64.16 mL (TB2), 139.86 mL (TB3) and 660.95 mL (TB4). When tested under different flow rates (dynamic calibration), underestimations were identified according to the size of the cavity: TB1 (3.31%), TB2 (5.75%), TB3 (9.33%) and TB4 (13.57%). Among the alternative curves, linear regression showed the best correlation (above 99%) with the monitored data. Using this method, the measurement errors were reduced to −1.35% (TB1), 0.04% (TB2), 3.18% (TB3) and 3.73% (TB4). We investigated how the different variables (tipping speed, cavity volumetric capacity and time interval of data collection) influenced the error. Errors follow a parabolic function of tipping velocity and a linear function of cavity volumetric capacity. The time interval of data collection interfered in the data sampled, however no statistical correlation was found. Among those variables, cavity size is the most important one. Given its low cost we aimed to minimize the inherent error in large tipping buckets flow meters and encourage its application, increasing in-situ collection of hydrological data.</p>}},
  author       = {{Schwamback, Dimaghi and Anache, Jamil A.A. and Wendland, Edson C.}},
  issn         = {{0341-8162}},
  keywords     = {{Device; Error source; In-situ monitoring; Nominal volumetric capacity; Runoff; Systemic errors}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Catena}},
  title        = {{Calibration and error investigation of large tipping bucket flow meters}},
  url          = {{http://dx.doi.org/10.1016/j.catena.2021.105834}},
  doi          = {{10.1016/j.catena.2021.105834}},
  volume       = {{209}},
  year         = {{2022}},
}