Mathematical models and optimization techniques for use in analysis and design of wastewater treatment systems

Tang, Chi-Chung; Brill Jr., E. Downey; Pfeffer, John T.

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https://hdl.handle.net/2142/90283 Copy

Description

Title

Mathematical models and optimization techniques for use in analysis and design of wastewater treatment systems

Author(s)

• Tang, Chi-Chung
• Brill Jr., E. Downey
• Pfeffer, John T.

Contributor(s)

University of Illinois at Urbana-Champaign

Issue Date

1984-11

Keyword(s)

• Water resource development--Illinois
• Water resources development
• Wastewater
• Waste water
• Wastewater treatment
• Mathematical models
• Optimization

Geographic Coverage

Illinois (state)

Abstract

A mathematical framework is developed for use in the design of a secondary wastewater treatment system. Mathematical models predicting the performance of various unit processes are used to construct a comprehensive system model. Three efficient optimization approaches to generate cost effective system designs are studied. The first approach transcribes the comprehensive system model into a nonlinear program that includes 64 variables and 58 constraints. A generalized reduced gradient algorithm is applied to solve this model. The second approach uses an existing algorithm for solving generalized geometric programs. Partitioning of model variables into two sets is necessary. A number of geometric programming subproblems resulting from the partitioning are solved. The third approach decomposes the wastewater system into a liquid and a sludge subsystem. The liquid subsystem is optimally designed, while the sludge subsystem design includes embedded optimization steps. The overall optimal design is obtained from coordination between the two subsystem designs. The comprehensive system model can be used as a tool for the analysis of process performance. Important insights about process design, modeling, and integration can be gained by exercising the model. Potentially fruitful areas for research can also be identified. This is illustrated through the use of an example problem.

Publisher

University of Illinois at Urbana-Champaign. Water Resources Center

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/90283

Sponsor(s)/Grant Number(s)

• U.S. Department of the Interior
• U.S. Geological Survey

Copyright and License Information

Copyright 1984 held by Chi-Chung Tang, E. Downey Brill, Jr., John T. Pfeffer

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