Optimal integrated operation of pipeline systems and water treatment plants

Water supply systems usually include a number of components (treatment plants, pipelines, pumping stations and distribution reservoirs), each of which performs a specific function. The interconnection between components requires the integrated operation of the systems. The operation of these systems is quite expensive because the energy consumption of some components is rather high. Both reasons (interconnection between components and high energy consumption) justify the development of tools to help their integrated operation while rninizing costs. This paper presents a mixed-integer optimization model aimed at minimizing systems operation costs, over a 24-hour period. The model includes constraints related to the physical behaviour of the systems, and takes the variable electricity tariff into account. The model is solved using two different methods: “Branch-and-Bound” (an exact method) and “Simulated Amealing” (a random search method), In order to compare the efficiency and effectiveness of the two methods, the model is applied to a hypothetical example. Even though the model has not yet been tested in practice, authors are convinced that the use of this type of tool could be of great help in the operation of water distribution systems, allowing significant savings in energy costs.

[1]  Lester Ingber,et al.  Simulated annealing: Practice versus theory , 1993 .

[2]  Angus R. Simpson,et al.  Optimal control of pumping at a water filtration plant using genetic algorithms , 1999 .

[3]  J. D. Greasey Pump scheduling in water supply: more than a mathematical problem , 1988 .

[4]  M. Likeman Constraint satisfaction methods in water supply scheduling , 1994 .

[5]  Shahram Pezeshk,et al.  Optimization of pumping costs for well-field water distribution systems , 1994 .

[6]  Maria da Conceição Cunha,et al.  Hydraulic infrastructures design using simulated annealing , 2001 .

[7]  Lindell Ormsbee,et al.  Comparison of three nonlinear control algorithms for the optimal operation of water supply pumping systems , 1994 .

[8]  Paul Jowitt,et al.  Optimal Pump Scheduling in Water‐Supply Networks , 1992 .

[9]  Keith W. Little,et al.  Minimization of Raw Water Pumping Costs Using MILP , 1989 .

[10]  Maria da Conceição Cunha,et al.  On solving aquifer management problems with simulated annealing algorithms , 1999 .

[11]  Rene Victor Valqui Vidal,et al.  OPTIMIZATION OF A PUMP-PIPE SYSTEM BY DYNAMIC PROGRAMMING , 1984 .

[12]  Joaquim Sousa,et al.  Optimal Pumping Scheduling Model For Energy Cost Minimization: Two Different Resolution Methods , 1970 .

[13]  Larry W. Mays,et al.  Methodology for Optimal Operation of Pumping Stations in Water Distribution Systems , 1991 .

[14]  Kevin E Lansey,et al.  Optimal Pump Operations Considering Pump Switches , 1994 .