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ACCELERATED INDUSTRIAL BLADE DESIGN BASED ON MULTI-OBJECTIVE OPTIMIZATION USING SURROGATE MODEL METHODOLOGY

机译:基于代理模型方法的多目标优化加速工业叶片设计

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The intention of this paper is to provide an advanced aerodynamic blade design approach for industrial purposes which are basically characterized by limited development time, human and computing resources. From the industrial point of view, the demand for process acceleration and design optimization cannot be sufficiently satisfied with traditional human-based design methods. Recent investigations on blade optimization have shown some potential in performance improvements, however, this is typically obtained by high computational efforts in particular when using multi-objective optimization methods. In order to combine the benefits of numerical optimization with the requirements of industrial needs for design acceleration, a new automated blade optimization strategy is required.The accelerated industrial blade design process in this paper is based on a three-dimensional parameterization approach using non-dimensional parameter distributions which always guarantee desired blade geometry smoothness. In order to approximate the design objectives and constraints, a response surface methodology is applied where the design parameter variation is obtained by the quasi-random SOBOL sequence. Based on that, a highly sophisticated multi-objective genetic algorithm is used with reasonable numbers for individuals and generations for solving the contradicting design goals of an aerodynamic blade design problem by considering multiple aerodynamic and geometric constraints. This approach offers a set of non-dominated solutions on the Pareto-front which are subsequently evaluated with the exact flow analysis. In case of objective function value discrepan-cies between model and exact evaluations, an update of the surrogate model is performed including these additional so-lutions until the approximation response is equivalent to the exact analysis within a predefined tolerance.This new methodology shows a significant overall design time reduction particularly a decrease of required function evaluations without loosing the benefit of multi-objective optimization in providing Pareto-optimal solutions. Based on a typical industrial compressor test case, an aerodynamic performance improvement and process acceleration by factor greater than 10 could be achieved.
机译:本文的目的是为工业目的提供一种先进的气动叶片设计方法,该方法的主要特点是开发时间,人力和计算资源有限。从工业角度来看,传统的基于人的设计方法无法充分满足对过程加速和设计优化的需求。最近对刀片优化的研究表明,在性能改进方面有一些潜力,但是,这通常是通过大量的计算工作才能获得的,尤其是在使用多目标优化方法时。为了将数值优化的好处与设计加速的工业需求的要求相结合,需要一种新的自动叶片优化策略。 本文中的加速工业叶片设计过程基于使用无量纲参数分布的三维参数化方法,该方法始终保证所需的叶片几何形状平滑度。为了近似设计目标和约束,应用了响应面方法,其中通过准随机SOBOL序列获得设计参数的变化。在此基础上,针对个体和世代,采用具有合理数量的高度复杂的多目标遗传算法,通过考虑多种空气动力学和几何约束条件来解决空气动力学叶片设计问题中相互矛盾的设计目标。这种方法在Pareto前沿提供了一组非支配的解决方案,这些解决方案随后将通过精确的流量分析进行评估。如果模型与精确评估之间的目标函数值存在差异,则会执行替代模型的更新,包括这些额外的 直到近似响应等于预定义公差内的精确分析为止。 这种新方法显示出总体设计时间的显着减少,尤其是所需功能评估的减少,同时又不丧失多目标优化在提供帕累托最优解中的优势。基于典型的工业压缩机测试案例,可以实现空气动力学性能的改善和超过10倍的过程加速。

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