Optimal Design for Storm Sewer System with Pumping Stations

Abstract

The purpose of this study is to develop a working model for the least‐cost optimal design of a storm sewer system, including the construction and operational costs of pumping stations. The new model is a modification of the Illinois Least‐Cost Storm‐Sewer System Design Model (ILSD‐1) developed at the University of Illinois. It can be applied to a storm sewer network, especially in a lowland area, with pumping stations inside or at the outlet of the network. In order to match the discrete differential dynamic programming optimization scheme used in ILSD‐1, a pumping station is considered as an inserted stage. The state variables of the stage of a pumping station include not only the storm sewer crown elevations originally used in ILSD‐1 but also the capacity of the pumping stations. The decision variable is the pumping head at the pumping stations. This new model has been satisfactorily applied to a storm sewer system with pumping stations in a lowland area in northern. Taiwan.