Authors:
Roberto Sanchis
and
Ignacio Peñarrocha
Affiliation:
Universitat Jaume I, Spain
Keyword(s):
Pumping Optimization, Electric Tariff, Pumping Scheduling.
Related
Ontology
Subjects/Areas/Topics:
Artificial Intelligence
;
Formal Methods
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Optimization Algorithms
;
Planning and Scheduling
;
Simulation and Modeling
;
Symbolic Systems
Abstract:
This paper studies the optimization of the operation of a water supply pumping system by means of standard
solvers. The system consists of several tanks that supply the water to several districts in a town. Each tank can
be filled from several wells through a hydraulic system that can be reconfigured by means of several valves.
The automatic operation of the system tries to determine which valves and pumps must be active at each
instant in order to minimise the operation cost, taking into account the tariff periods. The main constraints
are the maximum and minimum volumes of the tanks. A mathematical model of the problem is proposed in
order to formulate, in matrix form, the cost index and the constraints, to be able to use standard solvers as
Mosek. A basic optimization problem is proposed, that only imposes the constraints of the finite volume of
the tanks. The result of this basic problem tends to produce a large number of pump and valve commutations,
that is not adequate
in practice. To solve this problem, two alternatives are proposed: to include the number
of commutations in the cost index, and to add as a constraint the maximum number of commutations. Both
approaches lead to an adequate result, but the second one is easier to use, as the number of commutations can
be fixed in an explicit way. An example of a real water supply system is analysed to demonstrate the validity
of the approach, using Yalmip as parser and Mosek as solver.
(More)