Co-Optimization of Interdependent Water and Power Distribution Networks

This paper formulates the optimal water and power flow (OWPF) problem to optimize the resources acrosspower and water distribution networks while simultaneously accounting for the coupling between the two infrastructures. The pumop schedules in water distribution networks (WDNs) and PV inverters in power distribution networks (PDNs) are jointly managed to minimize the pump power consumption (in WDNs) and active power losses (in PDNs). The resulting OWPF problem includes nonconvex constraints caused by WDN hydraulics and is hard to solve. In order to overcome this problem, we use a novel a novel successive linear approximation-based approach. The method amounts to solving a series of convex optimization problems in WDNs augmented by the LinDistFlow in PDNs-enablingto formulate the problem, which is a mixed-integer quadratically constrained quadratic program called C-OWPF. A case study illustrates the C-OWPF approach's benefits in joint objective improvements with respect to decoupled designs where the PDNs andWDNs are independently operated.