Water distribution network calibration using enhanced GGA and topological analysis

The calibration of hydraulic models of water distribution networks (WDN) is of preeminent importance for their analysis and management. It is usually achieved by solving a constrained optimization problem based on some priors on decision variables and the demand-driven simulation of the entire network, given the observations of some hydraulic status variables (i.e. typically nodal heads and sometimes pipe flows). This paper presents a framework to perform the calibration of pipe hydraulic resistances considering two main issues: (i) the enhancements of WDN simulation models allowing us to simplify network topology with respect to serial nodes/trunks and/or to account for a more realistic representation of distributed demands and (ii) a different formulation of the calibration problem itself. Depending on the available measurements, the proposed calibration strategy reduces the hydraulic simulation model size and can permit the decomposition of the network. On the one hand, such a procedure allows for numerical and computational advantages, especially for large size networks. On the other hand, it allows a prompt analysis of observability of calibration decision variables based on actual observations and might help identifying those pipes (i.e. hydraulic resistances) which are more important for the whole network behaviour.

[1]  James A. Liggett,et al.  LEAKS IN PIPE NETWORKS , 1992 .

[2]  Andrzej Bargiela,et al.  Pressure and Flow Uncertainty in Water Systems , 1989 .

[3]  Orazio Giustolisi,et al.  Identification of segments and optimal isolation valve system design in water distribution networks , 2010 .

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

[5]  Guy Cohen,et al.  State estimation and leak detection in water distribution networks , 1991 .

[6]  Orazio Giustolisi,et al.  Extended Period Simulation Analysis Considering Valve Shutdowns , 2008 .

[7]  Luigi Berardi,et al.  Accounting for uniformly distributed pipe demand in WDN analysis: enhanced GGA , 2010 .

[8]  Takao Ozawa The principal partition of a pair of graphs and its applications , 1987, Discret. Appl. Math..

[9]  Lindell Ormsbee Implicit Network Calibration , 1989 .

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

[11]  Silvia Meniconi,et al.  Equivalent hydraulic resistance to simulate pipes subject to diffuse outflows , 2012 .

[12]  C. T. Haan,et al.  Calibration assessment and data collection for water distribution networks , 2001 .

[13]  Pierre Carpentier,et al.  Applied mathematics in water supply network management , 1993, Autom..

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

[15]  Newton,et al.  PARAMETER TUNING FOR SIMULATION MODELS OF WATER DISTRIBUTION NETWORKS. , 1980 .

[16]  James G. Uber,et al.  Sampling Design Methods for Water Distribution Model Calibration , 1998 .

[17]  Orazio Giustolisi,et al.  Pipe hydraulic resistance correction in WDN analysis , 2009 .

[18]  Prabhata K. Swamee,et al.  Explicit Equations for Pipe-Flow Problems , 1976 .

[19]  Uri Shamir,et al.  Water Distribution Systems Analysis , 1968 .

[20]  L. Ormsbee,et al.  Explicit Pipe Network Calibration , 1986 .

[21]  T. Walski Technique for Calibrating Network Models , 1983 .

[22]  Srinivasa Lingireddy,et al.  Optimal Network Calibration Model Based on Genetic Algorithms , 1999 .

[23]  Pramod R. Bhave Calibrating Water Distribution Network Models , 1988 .

[24]  G. Giudice,et al.  New Approach to Water Distribution Network Calibration , 1999 .

[25]  Orazio Giustolisi,et al.  Considering Actual Pipe Connections in WDN Analysis , 2010 .

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

[27]  Rudy Gargano,et al.  RELIABILITY AS TOOL FOR HYDRAULIC NETWORK PLANNING , 2000 .

[28]  Dimitri P. Solomatine,et al.  Application of global optimization to the design of pipe networks , 2000 .

[29]  Paul F. Boulos,et al.  Explicit calculation of pipe-network parameters , 1990 .

[30]  Stefano Alvisi,et al.  Pipe roughness calibration in water distribution systems using grey numbers , 2010 .