Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach
Conduit bursts or leakages present an ongoing problem for hydraulic fluid transport grids, such as oil or water conduit networks. Better monitoring allows for easier identification of burst sites and faster response strategies but heavily relies on sufficient insight in the network’s dynamics, obtai...
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MDPI AG
2021
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oai:doaj.org-article:71332a85295945e29d21ff5133eb47522021-11-11T19:57:21ZOptimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach10.3390/w132131052073-4441https://doaj.org/article/71332a85295945e29d21ff5133eb47522021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4441/13/21/3105https://doaj.org/toc/2073-4441Conduit bursts or leakages present an ongoing problem for hydraulic fluid transport grids, such as oil or water conduit networks. Better monitoring allows for easier identification of burst sites and faster response strategies but heavily relies on sufficient insight in the network’s dynamics, obtained from real-time flow and pressure sensor data. This paper presents a linearized state-space model of hydraulic networks suited for optimal sensor placement. Observability Gramians are used to identify the optimal sensor configuration by maximizing the output energy of network states. This approach does not rely on model simulation of hydraulic burst scenarios or on burst sensitivity matrices, but, instead, it determines optimal sensor placement solely from the model structure, taking into account the pressure dynamics and hydraulics of the network. For a good understanding of the method, it is illustrated by two small water distribution networks. The results show that the best sensor locations for these networks can be accurately determined and explained. A third example is added to demonstrate our method to a more realistic case.Caspar V. C. GeelenDoekle R. YntemaJaap MolenaarKarel J. KeesmanMDPI AGarticleoptimal sensor placementstate-space representationobservability gramianwater distribution networkHydraulic engineeringTC1-978Water supply for domestic and industrial purposesTD201-500ENWater, Vol 13, Iss 3105, p 3105 (2021) |
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optimal sensor placement state-space representation observability gramian water distribution network Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 |
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optimal sensor placement state-space representation observability gramian water distribution network Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 Caspar V. C. Geelen Doekle R. Yntema Jaap Molenaar Karel J. Keesman Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
description |
Conduit bursts or leakages present an ongoing problem for hydraulic fluid transport grids, such as oil or water conduit networks. Better monitoring allows for easier identification of burst sites and faster response strategies but heavily relies on sufficient insight in the network’s dynamics, obtained from real-time flow and pressure sensor data. This paper presents a linearized state-space model of hydraulic networks suited for optimal sensor placement. Observability Gramians are used to identify the optimal sensor configuration by maximizing the output energy of network states. This approach does not rely on model simulation of hydraulic burst scenarios or on burst sensitivity matrices, but, instead, it determines optimal sensor placement solely from the model structure, taking into account the pressure dynamics and hydraulics of the network. For a good understanding of the method, it is illustrated by two small water distribution networks. The results show that the best sensor locations for these networks can be accurately determined and explained. A third example is added to demonstrate our method to a more realistic case. |
format |
article |
author |
Caspar V. C. Geelen Doekle R. Yntema Jaap Molenaar Karel J. Keesman |
author_facet |
Caspar V. C. Geelen Doekle R. Yntema Jaap Molenaar Karel J. Keesman |
author_sort |
Caspar V. C. Geelen |
title |
Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
title_short |
Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
title_full |
Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
title_fullStr |
Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
title_full_unstemmed |
Optimal Sensor Placement in Hydraulic Conduit Networks: A State-Space Approach |
title_sort |
optimal sensor placement in hydraulic conduit networks: a state-space approach |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/71332a85295945e29d21ff5133eb4752 |
work_keys_str_mv |
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1718431356826943488 |