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首页> 外文期刊>Journal of Hydroinformatics >Water level stabilization in open channels using Chebyshev polynomials and teaching-learning-based optimization
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Water level stabilization in open channels using Chebyshev polynomials and teaching-learning-based optimization

机译：使用切比雪夫多项式和基于教学学习的优化，对明渠中的水位进行稳定

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摘要

Water level fluctuations in open channels can cause serious problems for conveyance systems which lead to economical and performance issues. The problem of water level stabilization in open channels containing two pumping stations at both ends is investigated in this paper. The optimal control that should be imposed at one end of the channel to minimize water surface fluctuations due to sudden increase in water demand at the other end is determined. Chebyshev polynomials are effectively hybridized with a modern teaching-learning-based optimization algorithm for the first time to estimate the optimal control. An efficient shock-capturing model is used to evaluate the value of the objective function. Results are compared with those obtained by the variational approach. The optimal control found by the proposed method shows fewer fluctuations in water level than that found by the variational method. Moreover, the proposed approach is easier to implement and to extend for solving more general problems.
机译：明渠中的水位波动会给运输系统造成严重问题，从而导致经济和性能问题。本文研究了在两端都有两个泵站的明渠中水位稳定的问题。确定了应施加在通道一端的最佳控制，以最大程度地减少由于另一端的需水量突然增加而引起的水面波动。 Chebyshev多项式首次与基于现代教学学习的优化算法有效地混合在一起，以估计最佳控制。一个有效的震荡捕获模型用于评估目标函数的值。将结果与通过变分方法获得的结果进行比较。所提出的方法所发现的最优控制显示出的水位波动要比变分方法所发现的最优。而且，所提出的方法更易于实现和扩展以解决更一般的问题。

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