Abstract
This paper describes a methodology for shape optimization of trapezoidal labyrinth weirs. The objective function is the volume of the weir. Different parameters of the weir are introduced as design variables including the total width of weir, width of upstream apex and actual length of side leg. Sensitivity analysis revealed that three design variables of weir width in one cycle, weir leg and number of cycles are the main parameters affecting weir optimization solution. The constraint conditions are the weir geometric shape and its different ratios. Genetic algorithm is applied to perform optimization process. The proposed method is applied successfully to Ute Dam labyrinth weir, and the results are compared with the real one. The results indicated that the volume of the trapezoidal labyrinth weir is reduced by an average of 21% which is obtained per 14 cycle numbers.
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