Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation
This paper addresses the two simultaneous leak diagnosis problem in pipelines based on a state vector reconstruction as a strategy to improve water shortages in large cities by only considering the availability of the flow rate and pressure head measurements at both ends of the pipeline. The propose...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/21/23/8035 |
| _version_ | 1827674677537931264 |
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| author | Adrián Navarro-Díaz Jorge-Alejandro Delgado-Aguiñaga Ofelia Begovich Gildas Besançon |
| author_facet | Adrián Navarro-Díaz Jorge-Alejandro Delgado-Aguiñaga Ofelia Begovich Gildas Besançon |
| author_sort | Adrián Navarro-Díaz |
| collection | DOAJ |
| description | This paper addresses the two simultaneous leak diagnosis problem in pipelines based on a state vector reconstruction as a strategy to improve water shortages in large cities by only considering the availability of the flow rate and pressure head measurements at both ends of the pipeline. The proposed algorithm considers the parameters of both leaks as new state variables with constant dynamics, which results in an extended state representation. By applying a suitable persistent input, an invertible mapping in <i>x</i> can be obtained as a function of the input and output, including their time derivatives of the third-order. The state vector can then be reconstructed by means of an algebraic-like observer through the computation of time derivatives using a Numerical Differentiation with Annihilatorsconsidering its inherent noise rejection properties. Experimental results showed that leak parameters were reconstructed with accuracy using a test bed plant built at Cinvestav Guadalajara. |
| first_indexed | 2024-03-10T04:44:43Z |
| format | Article |
| id | doaj.art-ad258926402c4b4081fc8cf6ba71dec9 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T04:44:43Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-ad258926402c4b4081fc8cf6ba71dec92023-11-23T03:02:58ZengMDPI AGSensors1424-82202021-12-012123803510.3390/s21238035Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical DifferentiationAdrián Navarro-Díaz0Jorge-Alejandro Delgado-Aguiñaga1Ofelia Begovich2Gildas Besançon3Tecnologico de Monterrey, School of Engineering and Sciences, Av. General Ramón Corona 2514, Zapopan C.P. 45138, MexicoCentro de Investigación, Innovación y Desarrollo Tecnológico CIIDETEC-UVM, Universidad del Valle de México, Periférico Sur Manuel Gómez Morín 8077, Tlaquepaque C.P. 45601, MexicoCINVESTAV Guadalajara, Av. del Bosque 1145, Col. El Bajío, Zapopan C.P. 45019, MexicoGIPSA-Lab, Institute of Engineering, Université Grenoble Alpes, CNRS, Grenoble IPN, 38000 Grenoble, FranceThis paper addresses the two simultaneous leak diagnosis problem in pipelines based on a state vector reconstruction as a strategy to improve water shortages in large cities by only considering the availability of the flow rate and pressure head measurements at both ends of the pipeline. The proposed algorithm considers the parameters of both leaks as new state variables with constant dynamics, which results in an extended state representation. By applying a suitable persistent input, an invertible mapping in <i>x</i> can be obtained as a function of the input and output, including their time derivatives of the third-order. The state vector can then be reconstructed by means of an algebraic-like observer through the computation of time derivatives using a Numerical Differentiation with Annihilatorsconsidering its inherent noise rejection properties. Experimental results showed that leak parameters were reconstructed with accuracy using a test bed plant built at Cinvestav Guadalajara.https://www.mdpi.com/1424-8220/21/23/8035fault diagnosispipelinesmultiple leaksnumerical differentiationexperimental results |
| spellingShingle | Adrián Navarro-Díaz Jorge-Alejandro Delgado-Aguiñaga Ofelia Begovich Gildas Besançon Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation Sensors fault diagnosis pipelines multiple leaks numerical differentiation experimental results |
| title | Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation |
| title_full | Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation |
| title_fullStr | Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation |
| title_full_unstemmed | Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation |
| title_short | Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation |
| title_sort | two simultaneous leak diagnosis in pipelines based on input output numerical differentiation |
| topic | fault diagnosis pipelines multiple leaks numerical differentiation experimental results |
| url | https://www.mdpi.com/1424-8220/21/23/8035 |
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