Robust Optimal Design for Wastewater Treatment. Part II: Application
Publication: Journal of Environmental Engineering
Volume 117, Issue 4
Abstract
A general approach, called robust optimal design, is developed in a companion paper and applied here to a comprehensive, nonlinear, activated sludge treatment system. The treatment system robustness is related to the sensitivity of steady‐state effluent biochemical oxygen demand and total suspended solids concentrations to changes in 55 uncertain model parameter values. Treatment system designs with lower sensitivity of the effluent water quality measures are likely to be more robust than designs with higher sensitivity. The robust optimal design approach is used to generate alternative designs that represent the trade‐off between total system cost and robustness. The robust design trends are generally more consistent with recommended design practice than are typical minimum‐cost design trends. In particular, improvements in the robustness of effluent biochemical oxygen demand concentration are associated with higher activated sludge mean solids‐residence times, whereas typical minimum‐cost designs are associated with low solids‐residence times. The robustness of the alternative designs is evaluated further using a nonlinear worst‐case analysis. The robust optimal design framework should be applicable to many design problems where uncertainty in parameter values is significant.
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References
1.
Berthouex, P. M., and Polkowski, L. B. (1970). “Optimum waste treatment plant design under uncertainty.” J. Water Pollu. Control Fed., 42(9), 1589–1613.
2.
Bisogni, J. J., and Lawrence, A. W. (1971). “Relationship between biological solids retention time and settling characteristics of activated sludge.” Water Res., 5(9), 753–763.
3.
Chang, T. M. (1967). “Sensitivity analysis in optimum process design,” thesis presented to West Virginia University, at Morgantown, W. Va., in partial fulfillment of the requirements for the degree of doctor of philosophy.
4.
Chen, M. S. K., Erickson, L. E., and Fan, L. T. (1970). “Consideration of sensitivity and parameter uncertainty in optimal process design.” Ind. Engrg. Chem. Process Design Develop., 9(4), 514–521.
5.
Craig, E. W., Meredith, D. D., and Middleton, A. C. (1978). “Algorithm for optimal activated sludge design.” J. Envir. Engrg. Div., ASCE, 104(6), 1107–1117.
6.
Grady, C. P. L., Jr. (1977). “Simplified optimization of activated sludge process.” J. Envir. Engrg. Div., ASCE, 103(3), 413–429.
7.
Lauria, D. T., Unk, J. B., and Schaefer, J. K. (1977). “Activated sludge process design.” J. Envir. Engrg. Div., ASCE, 103(4), 625–645.
8.
Lawrence, A. W., and McCarty, P. L., (1970). “A unified basis for biological treatment design and operation.” J. Sanit. Engrg. Div., ASCE, 96(3), 757–778.
9.
Middleton, A. C., and Lawrence, A. W. (1976). “Least cost design of activated sludge systems.” J. Water Pollu. Control Fed., 48(5), 889–905.
10.
Niku, S., and Schroeder, E. D. (1981). “Stability of activated sludge processes based on statistical measures.” J. Water Pollut. Control Fed., 53(4), 457–470.
11.
Parker, D. S. “Assessment of secondary clarification design concepts.” J. Water Pollu. Control Fed., 55(4), 349–359.
12.
Recommended standards for sewage works. (1978). Health Education Service, Inc., Albany, N.Y.
13.
Smeers, Y., and Tyteca, D. (1984). “A geometric programming model for the optimal design of wastewater treatment plants.” Oper. Res., 32(2), 314–342.
14.
Suidan, M. T., Saunders, F. M., Godfrey, C. S., and Stewart, H. T. (1983). “Wastewater treatment: Sensitivity analysis.” J. Envir. Engrg. Div., ASCE, 109(1), 120–138.
15.
Tang, C. C., Brill, E. D., Jr., and Pfeffer, J. T. (1987a). “Comprehensive model of activated sludge wastewater treatment system.” J. Envir. Engrg., ASCE, 113(5), 952–969.
16.
Tang, C. C., Brill, E. D., Jr., and Pfeffer, J. T. (1987b). “Optimization techniques for secondary wastewater treatment system.” J. Envir. Engrg., ASCE, 113(5), 935–951.
17.
Tarrer, A. R., Grady, C. P. L., Jr., Lim, H. C., and Koppel, L. B. (1976). “Optimal activated sludge design under uncertainty.” J. Envir. Engrg., ASCE, 102(3), 657–673.
18.
Tyteca, D. (1981). “Nonlinear programming model of wastewater treatment plant.” J. Envir. Engrg. Div., ASCE, 107(4), 747–766.
19.
Tyteca, D., and Smeers, Y. (1981). “Nonlinear programming design of wastewater treatment plant.” J. Envir. Engrg. Div., ASCE, 107(4), 767–779.
20.
Uber, J. G., Brill, E. D., Jr., and Pfeffer, J. T. (1991). “Robust optimal design for wastewater treatment. I: General approach.” J. Envir. Engrg., ASCE, 117(4), 425–437.
21.
Uber, J. G., Kao, J. J., Brill, E. D., Jr., and Pfeffer, J. T. (1988). “Sensitivity constrained nonlinear programming: A general approach for planning and design under parameter uncertainty and an application to treatment plant design.” Final Technical Report to the Department of the Interior, U.S. Geological Survey, Reston, Va.
22.
Wagner, B. J., and Gorelick, S. M. (1987). “Optimal groundwater quality management under parameter uncertainty.” Water Resour. Res., 23(7), 1162–1174.
23.
Wagner, B. J., and Gorelick, S. M. (1989). “Reliable aquifer remediation in the presence of spatially variable hydraulic conductivity: From data to design.” Water Resour. Res., 25(10), 2211–2226.
24.
Wastewater engineering: Treatment/disposal/reuse. (1979). Metcalf and Eddy, Inc., McGraw‐Hill, New York, N.Y.
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Copyright © 1991 ASCE.
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Published online: Jul 1, 1991
Published in print: Jul 1991
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