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 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.

[1]  Lindell Ormsbee.  Implicit Network Calibration , 1989 .

[2]  K. Sridharan,et al.  WLS Method for Parameter Estimation in Water Distribution Networks , 1996 .

[3]  Generalized inverses and similarity to partial isometries , 2010 .

[4]  Chengchao Xu,et al.  Parameter Dimension Estimation for Water Distribution Networks , 1997 .

[5]  Guoliang Chen,et al.  Full-rank representation of generalized inverse AT, S(2) and its application , 2007, Comput. Math. Appl..

[6]  Angus R. Simpson,et al.  Leak Detection and Calibration of Water Distribution Systems Using Transients and Genetic Algorithms , 1999 .

[7]  Yong-Xin Liu,et al.  Optimization of Networks Impedance Identification Based on Hybrid Genetic Algorithm , 2009, 2009 Second International Conference on Information and Computing Science.

[8]  Idel Montalvo,et al.  Sensitivity analysis to assess the relative importance of pipes in water distribution networks , 2008, Math. Comput. Model..

[9]  Orazio Giustolisi,et al.  Algorithm for Automatic Detection of Topological Changes in Water Distribution Networks , 2008 .

[10]  L. Vita,et al.  Investigation of the influence of pseudoinverse matrix calculations on multibody dynamics simulations by means of the udwadia-kalaba formulation , 2009 .

[11]  K. Sridharan,et al.  Parameter Estimation in Water‐Distribution Systems by Least Squares , 1994 .

[12]  Zoran Kapelan,et al.  Multiobjective sampling design for water distribution model calibration , 2003 .

[13]  J. Hunter.  Generalized inverses and their application to applied probability problems , 1982 .

[14]  Zoran Kapelan,et al.  Calibration of Water Distribution Hydraulic Models Using a Bayesian-Type Procedure , 2007 .

[15]  J. Liggett,et al.  Inverse Transient Analysis in Pipe Networks , 1994 .