Comparing the Performance of WCA and IWO Evolutionary Algorithms in Multi-Objective Optimization of Trapezoidal Labyrinth Spillways

Document Type : Original Article

Authors

1 Department of Civil Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran

2 Department of Civil Eng., Azarbaijan Shahid Madani University, Tabriz, Iran.

Abstract

Considering the importance of designing the dam spillways in order to provide optimal dimensions while maintaining their optimal performance, an approach using weed algorithms (IWO) and water cycle (WCA) suggested to multi objective optimization of the trapezoidal labyrinth spillways. In designing the labyrinth spillways, the optimal model is to achieve a model with the highest possible flow passing through the spillway (efficiency) during flood times and the smallest possible volume, which represents the least amount of concreting and construction costs. In this regard, the effectiveness of two algorithms on the labyrinth spillway of the UTE dam investigated, and three different scenarios considered to evaluate the effect of different parameters on the results of optimization. The GD’s value for the IWO algorithm is lower than the WCA ones; on the other hand, the WCA algorithm has the most value of standard deviation and average repetition based on the GD criteria. This shows that IWO algorithm has high accuracy. Based on the S criteria, the average value in IWO equals 0.102 and in WCA is 0.367, so, regarding to the criteria’s values, IWA algorithm has more accuracy and convergence ratio comparing to the WCA algorithm in multi objective optimization of the labyrinth spillways. Applying the multi objective optimization method can provide a set of optimized answers for designers So that they would be able to select a suitable design in every condition and based on the defined values of costs and efficiency. In evaluating the proposed scenarios, the third one provides better optimal solutions than the second scenario by examining the optimal value for more variables. As a result, the variables of the discharge coefficient and the wall thickness have a significant effect on the optimization of the labyrinth spillways.

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