Optimal Design of a Stable Trapezoidal Channel Section Using Hybrid Optimization Techniques
Publication: Journal of Irrigation and Drainage Engineering
Volume 133, Issue 4
Abstract
A cost effective channel section for a specified flow rate, roughness coefficients, longitudinal slope, and various cost parameters can be determined using an optimization technique. However, the derived optimal channel section may not be feasible for construction because of in situ conditions. The local soil conditions may not support the optimal side slope of the channel and if constructed, the slope may fail. It is therefore necessary to also incorporate the criteria for side slope stability in designing an optimal open channel section. In this paper, a new methodology has been developed to design a stable and optimal channel section using hybrid optimization techniques. A genetic algorithm based optimization model is developed initially to determine the factor of safety of a channel slope for given soil parameters. This optimization model is then externally linked with a separate sequential quadratic programming based optimization model to evaluate the parameters of the stable and optimal channel section. Solution for various example problems incorporating different soil parameters are illustrated to demonstrate the applicability of the developed methodology.
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Acknowledgments
The writers are grateful to the Director, National Institute of Technology Silchar, Assam, India, for sponsoring the visit of the first writer to Dalhousie University, Canada, under the TEQIP scheme of the Government of India.
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© 2007 ASCE.
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Received: Jun 14, 2006
Accepted: Mar 26, 2007
Published online: Aug 1, 2007
Published in print: Aug 2007
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