Optimization design for turbodrill blades based on response surface method

Abstract

Based on Bezier curve, experimental design theory, and response surface method, the optimization design method for turbine blades is established. The turbine of turbodrill tested on the bench is taken for an example, and the numerical simulation model is established using third-order Bezier curve fitting blade surfaces. The model is then verified by test experiment data of the turbine bench and proven to be reliable. The blade structure parameters are defined as independent variables, and the maximum efficiency is defined as the objective function. Based on the simulation results by the computational fluid dynamics, first the significant impacts on the blade profile parameters are filtered out by seven times in single-factor sensitive analysis, and then the relationship between the objective function and independent variables is obtained by using the Box–Behnken design and response surface methodology. Moreover, the regression equation of turbine efficiency and blade structure parameters is built, and the interaction effects between the parameters are analyzed. Numerical simulations on three selected groups of optimum combination show that computational fluid dynamics simulations are in good accordance with the calculations based on response surface method; furthermore, compared with the reference model, the performance of the optimized model is significantly improved, of which efficiency can be increased by more than 10%. This study can provide a new perspective and basis for the design and optimization of the turbodrill blades.