Pipe Friction Parameters Identification Method Based on Moore-Penrose Pseudo-Inverse Solution
A method is proposed to study water networks pipe friction parameters (PFPs) identification problem of water networks by solving a PFPs identification equation. The PFPs identification equation corresponding to an actual engineering problem usually has non-unique solutions. To express identification...
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Veröffentlicht in: | Journal of hydraulic engineering (New York, N.Y.) N.Y.), 2012-01, Vol.138 (1), p.100-104 |
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container_title | Journal of hydraulic engineering (New York, N.Y.) |
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creator | Yongxin, Liu Pinghua, Zou Zhongyi, He |
description | A method is proposed to study water networks pipe friction parameters (PFPs) identification problem of water networks by solving a PFPs identification equation. The PFPs identification equation corresponding to an actual engineering problem usually has non-unique solutions. To express identification results, a method is proposed which considers the Moore-Penrose pseudo-inverse (MPPI) solution of the PFPs identification equation as the PFPs identification results. Because the PFPs identification equation is a nonlinear equation, the MPPI solution of the PFPs identification equation cannot be expressed directly. Then, a progressive linearization iteration methodology is presented for solving the PFPs identification equation. The identification method is applied in a water distribution network case study, and identification results illustrate that the method is efficient, practical, and reasonable. |
doi_str_mv | 10.1061/(ASCE)HY.1943-7900.0000475 |
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The PFPs identification equation corresponding to an actual engineering problem usually has non-unique solutions. To express identification results, a method is proposed which considers the Moore-Penrose pseudo-inverse (MPPI) solution of the PFPs identification equation as the PFPs identification results. Because the PFPs identification equation is a nonlinear equation, the MPPI solution of the PFPs identification equation cannot be expressed directly. Then, a progressive linearization iteration methodology is presented for solving the PFPs identification equation. The identification method is applied in a water distribution network case study, and identification results illustrate that the method is efficient, practical, and reasonable.</description><identifier>ISSN: 0733-9429</identifier><identifier>EISSN: 1943-7900</identifier><identifier>DOI: 10.1061/(ASCE)HY.1943-7900.0000475</identifier><identifier>CODEN: JHEND8</identifier><language>eng</language><publisher>Reston, VA: American Society of Civil Engineers</publisher><subject>Applied sciences ; Buildings. Public works ; Computation methods. Tables. Charts ; Exact sciences and technology ; Friction ; Hydraulic engineering ; Identification methods ; Mathematical analysis ; Networks ; Nonlinear equations ; Parameter identification ; Pipe ; Piping ; Structural analysis. Stresses ; TECHNICAL NOTES ; Water supply. Pipings. 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The PFPs identification equation corresponding to an actual engineering problem usually has non-unique solutions. To express identification results, a method is proposed which considers the Moore-Penrose pseudo-inverse (MPPI) solution of the PFPs identification equation as the PFPs identification results. Because the PFPs identification equation is a nonlinear equation, the MPPI solution of the PFPs identification equation cannot be expressed directly. Then, a progressive linearization iteration methodology is presented for solving the PFPs identification equation. The identification method is applied in a water distribution network case study, and identification results illustrate that the method is efficient, practical, and reasonable.</description><subject>Applied sciences</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Exact sciences and technology</subject><subject>Friction</subject><subject>Hydraulic engineering</subject><subject>Identification methods</subject><subject>Mathematical analysis</subject><subject>Networks</subject><subject>Nonlinear equations</subject><subject>Parameter identification</subject><subject>Pipe</subject><subject>Piping</subject><subject>Structural analysis. Stresses</subject><subject>TECHNICAL NOTES</subject><subject>Water supply. Pipings. 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Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Exact sciences and technology</topic><topic>Friction</topic><topic>Hydraulic engineering</topic><topic>Identification methods</topic><topic>Mathematical analysis</topic><topic>Networks</topic><topic>Nonlinear equations</topic><topic>Parameter identification</topic><topic>Pipe</topic><topic>Piping</topic><topic>Structural analysis. Stresses</topic><topic>TECHNICAL NOTES</topic><topic>Water supply. Pipings. Water treatment</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yongxin, Liu</creatorcontrib><creatorcontrib>Pinghua, Zou</creatorcontrib><creatorcontrib>Zhongyi, He</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Environmental Engineering Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Aqualine</collection><collection>Water Resources Abstracts</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Journal of hydraulic engineering (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yongxin, Liu</au><au>Pinghua, Zou</au><au>Zhongyi, He</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pipe Friction Parameters Identification Method Based on Moore-Penrose Pseudo-Inverse Solution</atitle><jtitle>Journal of hydraulic engineering (New York, N.Y.)</jtitle><date>2012-01-01</date><risdate>2012</risdate><volume>138</volume><issue>1</issue><spage>100</spage><epage>104</epage><pages>100-104</pages><issn>0733-9429</issn><eissn>1943-7900</eissn><coden>JHEND8</coden><abstract>A method is proposed to study water networks pipe friction parameters (PFPs) identification problem of water networks by solving a PFPs identification equation. The PFPs identification equation corresponding to an actual engineering problem usually has non-unique solutions. To express identification results, a method is proposed which considers the Moore-Penrose pseudo-inverse (MPPI) solution of the PFPs identification equation as the PFPs identification results. Because the PFPs identification equation is a nonlinear equation, the MPPI solution of the PFPs identification equation cannot be expressed directly. Then, a progressive linearization iteration methodology is presented for solving the PFPs identification equation. The identification method is applied in a water distribution network case study, and identification results illustrate that the method is efficient, practical, and reasonable.</abstract><cop>Reston, VA</cop><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)HY.1943-7900.0000475</doi><tpages>5</tpages></addata></record> |
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source | American Society of Civil Engineers:NESLI2:Journals:2014 |
subjects | Applied sciences Buildings. Public works Computation methods. Tables. Charts Exact sciences and technology Friction Hydraulic engineering Identification methods Mathematical analysis Networks Nonlinear equations Parameter identification Pipe Piping Structural analysis. Stresses TECHNICAL NOTES Water supply. Pipings. Water treatment |
title | Pipe Friction Parameters Identification Method Based on Moore-Penrose Pseudo-Inverse Solution |
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