Optimal Scheduling of Multiple Chlorine Sources in Water Distribution Systems
Publication: Journal of Water Resources Planning and Management
Volume 129, Issue 6
Abstract
The specified range of free chlorine residual (between minimum and maximum) in water distribution systems needs to be maintained to avoid deterioration of the microbial quality of water, control taste and/or odor problems, and hinder formation of carcinogenic disinfection by-products. Multiple water quality sources for providing chlorine input are needed to maintain the chlorine residuals within a specified range throughout the distribution system. The determination of source dosage (i.e., chlorine concentrations/chlorine mass rates) at water quality sources to satisfy the above objective under dynamic conditions is a complex process. A nonlinear optimization problem is formulated to determine the chlorine dosage at the water quality sources subjected to minimum and maximum constraints on chlorine concentrations at all monitoring nodes. A genetic algorithm (GA) approach in which decision variables (chlorine dosage) are coded as binary strings is used to solve this highly nonlinear optimization problem, with nonlinearities arising due to set-point sources and non-first-order reactions. Application of the model is illustrated using three sample water distribution systems, and it indicates that the GA is a useful tool for evaluating optimal water quality source chlorine schedules.
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References
Al-Omari, A. S., and Chaudhry, M. H.(2001). “Unsteady-state inverse chlorine modeling in pipe networks.” J. Hydraul. Eng., 127(8), 669–677.
Balla, M. C., and Lingireddy, S.(2000). “Genetic algorithms in pipeline optimization.” J. Comput. Civ. Eng., 14(3), 199–205.
Boccelli, D. L., Tryby, M. E., Uber, J. G., Rossman, L. A., Zierolf, M. L., and Polycarpou, M. M.(1998). “Optimal scheduling of booster disinfection in water distribution system.” J. Water Resour. Plan. Manage., 124(2), 99–111.
Clark, R. M.(1998). “Chlorine demand and TTHM formation kinetics.” J. Environ. Eng., 124(1), 16–24.
Clark, R. M., and Sivaganesan, M.(1998). “Predicting chlorine residuals and the formation of TTHMs in drinking water.” J. Environ. Eng., 124(12), 1203–1210.
Clark, R. M., and Sivaganesan, M.(2002). “Predicting chlorine residuals in drinking water: Second order model.” J. Water Resour. Plan. Manage., 128(2), 152–161.
Clark, R. M., Rossman, L. A., and Wymer, L. J.(1995). “Modeling distribution system water quality: Regulatory implications.” J. Water Resour. Plan. Manage., 121(6), 423–428.
Clark, R. M., Grayman, W. M., Males, R. M., and Hess, A. F.(1993). “Modeling contaminant propagation in drinking water distribution systems.” J. Environ. Eng., 119(2), 349–364.
Clark, R. M., Grayman, W. M., Goodrich, J. A., Deininger, R. A., and Skov, K.(1994). “Measuring and modeling chlorine propagation in water distribution systems.” J. Water Resour. Plan. Manage., 120(6), 871–887.
Dandy, G. C., Simpson, A. R., and Murphy, L. J.(1996). “An improved genetic algorithm for pipe network optimization.” Water Resour. Res., 32(2), 449–458.
Fang, H., West, J. R., Barker, R. A., and Forster, C. F.(1999). “Modelling of chlorine decay in municipal water supplies.” Water Res., 33(12), 2735–2746.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization and machine learning, Addison–Wesley, Reading, Mass.
Goldberg, D. E., and Deb, K. (1991). “A comparison of selection schemes used in genetic algorithm.” Foundations of genetic algorithms, G. J. E., Rawlins, ed., 69–93.
Goldberg, D. E., and Kuo, C. H.(1987). “Genetic algorithms in pipeline optimization.” J. Comput. Civ. Eng., 1(2), 128–141.
Islam, M. R., Chaudhary, M. H., and Clark, R. M.(1997). “Inverse modeling of chlorine concentration in pipe networks under dynamic condition.” J. Environ. Eng., 123(10), 1033–1040.
Liou, C. P., and Kroon, J. R.(1987). “Modeling the propagation of waterborne substances in water distribution networks.” J. Am. Water Works Assoc., 79(11), 54–58.
Michaelwicz, Z. (1992). Genetic algorithms+data structures=evolutionary programs, AI series, Springer, New York.
Munavalli, G. R., and Mohan Kumar, M. S. (2002). “Water quality parameter estimation in a steady state distribution system.” J. Water Resour. Plan. Manage., in press.
Murphy, L. J., Simpson, A. R., and Dandy, G. C.(1993). “Design of network using genetic algorithm.” Water, 20, 40–42.
Niranjan Reddy, P. V. (1994). “General analysis, parameter estimation and valve operational policy in water distribution networks.” PhD thesis, Indian Inst. of Science, Bangalore, India.
Reis, L. F. R., Porto, R. M., and Chaudhry, F. H.(1997). “Optimal location of control valves in pipe networks by genetic algorithm.” J. Water Resour. Plan. Manage., 123(6), 317–326.
Rossman, L. A. (2000). EPANET 2 users manual, Risk Reduction Engineering Laboratory, U.S. Environmental Protection Agency, Cincinnati, Ohio.
Rossman, L. A., and Boulos, P. F.(1996). “Numerical methods for water quality in distribution systems: A comparison.” J. Water Resour. Plan. Manage., 122(2), 137–146.
Rossman, L. A., Clark, R. M., and Grayman, W. M.(1994). “Modeling chlorine residuals in drinking-water distribution systems.” J. Environ. Eng., 120(4), 803–820.
Savic, D. A., and Walters, G. A.(1997). “Genetic algorithms for least-cost design of water distribution networks.” J. Water Resour. Plan. Manage., 123(2), 67–77.
Simpson, A. R., Dandy, G. C., and Murphy, L. J.(1994). “Genetic algorithms compared to other techniques for pipe optimization.” J. Water Resour. Plan. Manage., 120(4), 423–443.
Tryby, M. E., Boccelli, D. L., Koechling, M. T., Uber, J. G., Summers, R. S., and Rossman, L. A.(1999). “Booster chlorination for managing disinfectant residuals.” J. Am. Water Works Assoc., 91(1), 95–108.
Vasconcelos, J. J., Rossman, L. A., Grayman, W. M., Boulos, P. F., and Clark, R. M.(1997). “Kinetics of chlorine decay.” J. Am. Water Works Assoc., 89(7), 55–65.
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Copyright © 2003 American Society of Civil Engineers.
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Received: Apr 4, 2002
Accepted: Nov 14, 2002
Published online: Oct 15, 2003
Published in print: Nov 2003
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