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| DOI： |
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| Optimizing Channels with Parabolic Cross-Section Using the Particle Swarm Method |
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ZHANG Wei, HE Wuquan
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College of Water Resources and Architectural Engineering, Northwest A &F University, Yangling 712100, China；The Ministry of Education Key Laboratory of Agricultural Water and Soil Engineering, Yangling 712100, China
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| Abstract: |
| A mathematical model for optimizing channels with parabolic cross section was developed in this paperin attempts to resolving the problems such as high computation demanding, low accuracy associated with the trial-error method used in the conventional method. The objective in the optimization was to minimize the difference between the calculated flow rate and designed flow rate, and the optimal solutions were solved by particle swarm algorithm assuming that the cross section of the channel is Parabolic. We took the concrete channel in Wuzhangyuan branch in the Stone River Irrigation District of Shaanxi province as an example, and the equation shape parameter （a） and the design depth （h） of the second parabolic channel section were designed optimally. The results showed that a, which met the constraints, was 5.06 and h was 0.398 2 m. Compared to the original design, the cross section, the volume of the channel and the concrete lining quantity reduced by 0.102 1%, 6.225 4 m3 and 4.764 1 m3, respectively. Therefore, the particle swarm optimization algorithm can effectively solve the optimization of parabolic channel and has the advantages of fast convergence, high accuracy and more efficient in searching the global optimization solution. |
| Key words: parabolic channel; cross section optimization; particle swarm algorithm |
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