An integer programming model for minimizing energy cost in water distribution system using trigger levels with additional time slots

Author(s):  
David Wu ◽  
Viet Hung Nguyen ◽  
Michel Minoux ◽  
Hai Tran
Author(s):  
Dhafar Al-Ani ◽  
Saeid Habibi

As time goes on, more and more operating-modes based on changing demand profiles will be compiled to enrich the range of feasible solutions for a water distribution system. This implies the conservation of energy consumed by a water pumping station and improves the ability for energy optimization. Another important goal was improving safety, reliability, and maintenance cost. In this paper, three important goals were addressed: cost-effectives, safety, and self-sustainability operations of water distribution systems. In this work, the objective functions to optimize were total electrical energy cost, maintenance costs, and reservoir water level variation while preserving the service provided to water clients. To accomplish these goals, an effective Energy Optimization Strategy (EOS) that manages trade-off among operational cost, system safety, and reliability was proposed. Moreover, the EOS aims at improving the operating conditions (i.e., pumping schedule) of an existing network system (i.e., with given capacities of tanks) and without physical changes in the infrastructure of the distribution systems. The new strategy consisted of a new Parallel Multi-objective Particle Swarm optimization with Adaptive Search-space Boundaries (P-MOPSO-ASB) and a modified EPANET. This has several advantages: obtaining a Pareto-front with solutions that are quantitatively equally good and providing the decision maker with the opportunity to qualitatively compare the solutions before their implementation into practice. The multi-objective optimization approach developed in this paper follows modern applications that combine an optimization algorithm with a network simulation model by using full hydraulic simulations and distributed demand models. The proposed EOS was successfully applied to a rural water distribution system, namely Saskatoon West. The results showed that a potential for considerable cost reductions in total energy cost was achieved (approximately % 7.5). Furthermore, the safety and the reliability of the system are preserved by using the new optimal pump schedules.


1996 ◽  
Vol 23 (1) ◽  
pp. 42-48
Author(s):  
Terrence M. Miles ◽  
Barbara J. Lence

A simplified representation of the city of Winnipeg water distribution system is developed and a linear programming model is formulated to represent this system. Six scenarios of the linear programming model are analyzed to determine the most efficient operating policy when the objective functions vary from minimizing reservoir drawdowns to minimizing pumping. This analysis reveals that low total pumping values and low maximum pumping values can be obtained if storage at the inner-city reservoirs is utilized. It is also shown that the system cannot satisfy demand during high demand periods without drawing down the Deacon Reservoir. Key words: reservoirs, water distribution, optimization.


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