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Fast data assimilation for open channel hydrodynamic models using control theory approach

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2020
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Authors
Milašinović, Miloš
Prodanović, Dušan
Zindovic, Budo
Rosić, Nikola
Milivojević, Nikola
Article (Accepted Version)
,
Elsevier
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Abstract
Model-driven forecasting, used for flood risks or big hydropower systems management, can produce results of unsatisfying accuracy even with best-calibrated hydrodynamic models. One of the biggest uncertainty sources is the inflow data, either produced by different hydrological models or obtained using unreliable rating curves. To keep the model in the up-to-date state, data assimilation techniques are used. The aim of the assimilation is to reduce the difference between simulated and observed state of selected variables by updating hydrodynamic model state variables according to observed water levels. The widely used data assimilation method applicable for nonlinear hydrodynamic models is Ensemble Kalman Filter (EnKF). However, this method can often increase the computational time due to complexity of mathematical apparatus, making it less applicable in everyday operations. This paper presents the novel, fast, tailor-made data assimilation method, suitable for 1D open channel hydraulic... models, based on control theory. Using Proportional-Integrative-Derivative (PID) controllers, the difference between measured levels and simulated levels obtained by hydrodynamic model is reduced by adding or subtracting the flows in the junctions/sections where water levels are measured. The novel PID control-based data assimilation (PID-DA) is compared to EnKF. Benchmarking shows that PID-DA can be used for data assimilation, even coupled with simplified 1D hydraulic model, without significant sacrifice of stability and accuracy, and with reduction of computational time up to 63 times.

Keywords:
PID control / Control loop feedback mechanism / Short-term forecasting / Ensemble Kalman filter / Data assimilation speed up
Source:
Journal of Hydrology, 2020, 584
Publisher:
  • Elsevier
Funding / projects:
  • Urban Drainage Systems as Key Infrastructure in Cities and Towns (RS-37010)

DOI: 10.1016/j.jhydrol.2020.124661

ISSN: 0022-1694

WoS: 000527390200046

Scopus: 2-s2.0-85078980265
[ Google Scholar ]
4
1
URI
https://grafar.grf.bg.ac.rs/handle/123456789/1845
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за хидротехнику и водно-еколошко инжењерство
Institution/Community
GraFar
TY  - JOUR
AU  - Milašinović, Miloš
AU  - Prodanović, Dušan
AU  - Zindovic, Budo
AU  - Rosić, Nikola
AU  - Milivojević, Nikola
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1845
AB  - Model-driven forecasting, used for flood risks or big hydropower systems management, can produce results of unsatisfying accuracy even with best-calibrated hydrodynamic models. One of the biggest uncertainty sources is the inflow data, either produced by different hydrological models or obtained using unreliable rating curves. To keep the model in the up-to-date state, data assimilation techniques are used. The aim of the assimilation is to reduce the difference between simulated and observed state of selected variables by updating hydrodynamic model state variables according to observed water levels. The widely used data assimilation method applicable for nonlinear hydrodynamic models is Ensemble Kalman Filter (EnKF). However, this method can often increase the computational time due to complexity of mathematical apparatus, making it less applicable in everyday operations. This paper presents the novel, fast, tailor-made data assimilation method, suitable for 1D open channel hydraulic models, based on control theory. Using Proportional-Integrative-Derivative (PID) controllers, the difference between measured levels and simulated levels obtained by hydrodynamic model is reduced by adding or subtracting the flows in the junctions/sections where water levels are measured. The novel PID control-based data assimilation (PID-DA) is compared to EnKF. Benchmarking shows that PID-DA can be used for data assimilation, even coupled with simplified 1D hydraulic model, without significant sacrifice of stability and accuracy, and with reduction of computational time up to 63 times.
PB  - Elsevier
T2  - Journal of Hydrology
T1  - Fast data assimilation for open channel hydrodynamic models using control theory approach
VL  - 584
DO  - 10.1016/j.jhydrol.2020.124661
ER  - 
@article{
author = "Milašinović, Miloš and Prodanović, Dušan and Zindovic, Budo and Rosić, Nikola and Milivojević, Nikola",
year = "2020",
abstract = "Model-driven forecasting, used for flood risks or big hydropower systems management, can produce results of unsatisfying accuracy even with best-calibrated hydrodynamic models. One of the biggest uncertainty sources is the inflow data, either produced by different hydrological models or obtained using unreliable rating curves. To keep the model in the up-to-date state, data assimilation techniques are used. The aim of the assimilation is to reduce the difference between simulated and observed state of selected variables by updating hydrodynamic model state variables according to observed water levels. The widely used data assimilation method applicable for nonlinear hydrodynamic models is Ensemble Kalman Filter (EnKF). However, this method can often increase the computational time due to complexity of mathematical apparatus, making it less applicable in everyday operations. This paper presents the novel, fast, tailor-made data assimilation method, suitable for 1D open channel hydraulic models, based on control theory. Using Proportional-Integrative-Derivative (PID) controllers, the difference between measured levels and simulated levels obtained by hydrodynamic model is reduced by adding or subtracting the flows in the junctions/sections where water levels are measured. The novel PID control-based data assimilation (PID-DA) is compared to EnKF. Benchmarking shows that PID-DA can be used for data assimilation, even coupled with simplified 1D hydraulic model, without significant sacrifice of stability and accuracy, and with reduction of computational time up to 63 times.",
publisher = "Elsevier",
journal = "Journal of Hydrology",
title = "Fast data assimilation for open channel hydrodynamic models using control theory approach",
volume = "584",
doi = "10.1016/j.jhydrol.2020.124661"
}
Milašinović, M., Prodanović, D., Zindovic, B., Rosić, N.,& Milivojević, N.. (2020). Fast data assimilation for open channel hydrodynamic models using control theory approach. in Journal of Hydrology
Elsevier., 584.
https://doi.org/10.1016/j.jhydrol.2020.124661
Milašinović M, Prodanović D, Zindovic B, Rosić N, Milivojević N. Fast data assimilation for open channel hydrodynamic models using control theory approach. in Journal of Hydrology. 2020;584.
doi:10.1016/j.jhydrol.2020.124661 .
Milašinović, Miloš, Prodanović, Dušan, Zindovic, Budo, Rosić, Nikola, Milivojević, Nikola, "Fast data assimilation for open channel hydrodynamic models using control theory approach" in Journal of Hydrology, 584 (2020),
https://doi.org/10.1016/j.jhydrol.2020.124661 . .

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