A Capacity Expansion Planning Method for A Regional Water Supply System (Illinois)
Nakashima, Masahiro
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https://hdl.handle.net/2142/69917
Description
Title
A Capacity Expansion Planning Method for A Regional Water Supply System (Illinois)
Author(s)
Nakashima, Masahiro
Issue Date
1982
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Abstract
The goal of this study is to develop an optimization model for designing an economical regional water supply system which consists of water production and water transmission facilities. Water demands are assumed to be increasing over a planning horizon and to be satisfied from several potential supply sources. In this study, a method has been developed to determine a water supply system layout and to size water production and transmission facilities in the system. The method is a heuristic optimization technique which consists of two mathematical models--the Phase I model and the Phase II model--for joint use.
The Phase I model selects a system layout together with capacities in a transmission and source system subject to constraints on water availabilities at potential sources and on increasing water demands. The Phase I mathematical model is a linearly constrained nonlinear program, and a multilevel solution technique (MLST) is adapted. The out-of-kilter algorithm is employed to generate different initial feasible solutions for the MLST.
With a given solution from the Phase I model as input, the Phase II model determines facility components in the transmission system, i.e., pumping locations and capacities and pipeline diameters. The determination of those facilities requires constraints on hydraulic heads associated with the increasing transmission capacities and with maximum and minimum pipe pressures. The Phase II model is a linear program, and it usually requires a few revisions of a candidate diameter list to obtain an optimal solution.
The methodology is applied to two regions in Northeastern Illinois: the Will County region with two sources of water and four demand centers as a small-scale example; and the northwestern Cook and Du Page County region with two sources of water and thirty-five demand centers as a large-scale example. Optimal system layouts and sizes of water production and water transmission facilities have been determined using the Phase I model and the Phase II model.
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