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.