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Energy efficient scheduling algorithms for pumping water in radial networks

Electricity cost of pumping is a large part of total operation cost of water networks supply. In order to decrease this cost many research have been done and still going on. In most of the past works, users do not have any active participation and demands either modeled as a deterministic model or a stochastic process which is predicted using a time series model. In this paper, we consider active participation for the users of a radial network and we show that suitable collaboration of users can reduce the required energy to pump amount of water needed for all users. We use nonlinear hydraulic for modeling the pump (both fixed speed and variable speed) and pipes and we find the most energy efficient schedule for two users using nonlinear optimization. The solution for the two user case, is used to find an approximate solution for the more than two users. Our simulations shows that collaboration of users results in up to 10% reduction of energy usage for both fixed and variable speed pumps.