Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks
Mathematical modeling of water distribution networks makes use of simplifications aimed to optimize the development and use of the mathematical models involved. Simplified models are used systematically by water utilities, frequently with no awareness of the implications of the assumptions used. Som...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/169670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561527977148416 |
|---|---|
| author | Joaquín Izquierdo Enrique Campbell Idel Montalvo Rafael Pérez-García David Ayala-Cabrera |
| author_facet | Joaquín Izquierdo Enrique Campbell Idel Montalvo Rafael Pérez-García David Ayala-Cabrera |
| author_sort | Joaquín Izquierdo |
| collection | DOAJ |
| description | Mathematical modeling of water distribution networks makes use of simplifications aimed to optimize the development and use of the mathematical models involved. Simplified models are used systematically by water utilities, frequently with no awareness of the implications of the assumptions used. Some simplifications are derived from the various levels of granularity at which a network can be considered. This is the case of some demand simplifications, specifically, when consumptions associated with a line are equally allocated to the ends of the line. In this paper, we present examples of situations where this kind of simplification produces models that are very unrealistic. We also identify the main variables responsible for the errors. By performing some error analysis, we assess to what extent such a simplification is valid. Using this information, guidelines are provided that enable the user to establish if a given simplification is acceptable or, on the contrary, supplies information that differs substantially from reality. We also develop easy to implement formulae that enable the allocation of inner line demand to the line ends with minimal error; finally, we assess the errors associated with the simplification and locate the points of a line where maximum discrepancies occur. |
| format | Article |
| id | doaj-art-c4f6898b803b46bdb002fdee18a65739 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c4f6898b803b46bdb002fdee18a657392025-02-03T01:24:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/169670169670Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply NetworksJoaquín Izquierdo0Enrique Campbell1Idel Montalvo2Rafael Pérez-García3David Ayala-Cabrera4Flulng IMM, Universitat Politècnica de València, Camino de Vera S/N, Edificio 5C bajo, 46022 Valencia, SpainFlulng IMM, Universitat Politècnica de València, Camino de Vera S/N, Edificio 5C bajo, 46022 Valencia, Spain3S Consult GmbH, Albtalstraße 13, 76137 Karlsruhe, GermanyFlulng IMM, Universitat Politècnica de València, Camino de Vera S/N, Edificio 5C bajo, 46022 Valencia, SpainFlulng IMM, Universitat Politècnica de València, Camino de Vera S/N, Edificio 5C bajo, 46022 Valencia, SpainMathematical modeling of water distribution networks makes use of simplifications aimed to optimize the development and use of the mathematical models involved. Simplified models are used systematically by water utilities, frequently with no awareness of the implications of the assumptions used. Some simplifications are derived from the various levels of granularity at which a network can be considered. This is the case of some demand simplifications, specifically, when consumptions associated with a line are equally allocated to the ends of the line. In this paper, we present examples of situations where this kind of simplification produces models that are very unrealistic. We also identify the main variables responsible for the errors. By performing some error analysis, we assess to what extent such a simplification is valid. Using this information, guidelines are provided that enable the user to establish if a given simplification is acceptable or, on the contrary, supplies information that differs substantially from reality. We also develop easy to implement formulae that enable the allocation of inner line demand to the line ends with minimal error; finally, we assess the errors associated with the simplification and locate the points of a line where maximum discrepancies occur.http://dx.doi.org/10.1155/2013/169670 |
| spellingShingle | Joaquín Izquierdo Enrique Campbell Idel Montalvo Rafael Pérez-García David Ayala-Cabrera Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks Abstract and Applied Analysis |
| title | Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks |
| title_full | Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks |
| title_fullStr | Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks |
| title_full_unstemmed | Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks |
| title_short | Error Analysis of Some Demand Simplifications in Hydraulic Models of Water Supply Networks |
| title_sort | error analysis of some demand simplifications in hydraulic models of water supply networks |
| url | http://dx.doi.org/10.1155/2013/169670 |
| work_keys_str_mv | AT joaquinizquierdo erroranalysisofsomedemandsimplificationsinhydraulicmodelsofwatersupplynetworks AT enriquecampbell erroranalysisofsomedemandsimplificationsinhydraulicmodelsofwatersupplynetworks AT idelmontalvo erroranalysisofsomedemandsimplificationsinhydraulicmodelsofwatersupplynetworks AT rafaelperezgarcia erroranalysisofsomedemandsimplificationsinhydraulicmodelsofwatersupplynetworks AT davidayalacabrera erroranalysisofsomedemandsimplificationsinhydraulicmodelsofwatersupplynetworks |