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2422. A Binary Expansion Approach for the Optimal Demand Response in Large and High Altitude Water Transportation System

Invited abstract in session WC-19: OR in Energy II, stream OR in Energy.

Wednesday, 12:30-14:00
Room: 44 (building: 116)

Authors (first author is the speaker)

1. Denise Cariaga
School of Mathematics, University of Edinburgh
2. Miguel Anjos
School of Mathematics, University of Edinburgh
3. Alvaro Lorca
Electrical Engineering - Industrial and Systems Engineering, Pontificia Universidad Catolica de Chile

Abstract

Demand response for water networks is an optimisation model that determines which water pumps will be turned on or off at each time period according to a dynamic electrical tariff. This problem is important in mining due to the high power consumption of water pumps, as well as the complicated dynamics of water flows and the power market. The problem faces difficulties from: i) the nonlinearities of the equations for the frictional losses along the pipes and pumps, which make the problem a nonlinear mixed-integer model, ii) the many possible combinations of pressure head and flow rates, which quickly lead to high computational costs, and iii) the uncertainty from energy prices and water demand. These limitations prevent the problem from being solved to optimality in a reasonable computational time in water systems with more than two pumps and reservoirs. Therefore, we develop new optimisation models for the demand response in large and high-altitude water transportation systems that use a binary expansion approach to efficiently account for the existing nonlinearities by reducing the computational difficulties while maintaining an excellent representation of the physical phenomena involved. We also tested this approach in different network topologies and case studies, and we conclude that the method significantly reduces the computational time for solving the problem with high precision, which can be relevant for the daily operation of real-world water transportation systems.

Keywords

Status: accepted

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