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首页> 外文期刊>Applied Mathematical Modelling >Quantile-based robust optimization of a supersonic nozzle for organic rankine cycle turbines
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Quantile-based robust optimization of a supersonic nozzle for organic rankine cycle turbines

机译：基于分位数的有机朗肯循环涡轮机超音速喷嘴的鲁棒优化

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摘要

Organic Rankine Cycle (ORC) turbines usually operate in thermodynamic regions characterized by high-pressure ratios and strong non-ideal gas effects, complicating the aerodynamic design significantly. Systematic optimization methods accounting for multiple uncertainties due to variable operating conditions, referred to as Robust Optimization may benefit to ORC turbines aerodynamic design. This study presents an original and fast robust shape optimization approach to overcome the limitation of a deterministic optimization that neglects operating conditions variability, applied to a well-known supersonic turbine nozzle for ORC applications. The flow around the blade is assumed inviscid and adiabatic and it is reconstructed using the open-source SU2 code. The non-ideal gasdy-namics is modeled through the Peng-Robinson-Stryjek-Vera equation of state. We propose here a mono-objective formulation which consists in minimizing the α-quantile of the targeted Quantity of interest (QoI) under a probabilistic constraint, at a low computational cost This problem is solved by using an efficient robust optimization approach, coupling a state-of-the-art quantile estimation and a classical Bayesian optimization method. First, the advantages of a quantile-based formulation are illustrated with respect to a conventional mean-based robust optimization. Secondly, we demonstrate the effectiveness of applying this robust optimization framework with a low-fidelity inviscid solver by comparing the resulting optimal design with the ones obtained with a deterministic optimization using a fully turbulent solver.
机译：有机朗肯循环（ORC）涡轮机通常在具有高压比和强烈的非理想气体效应的热力学区域内运行，从而使空气动力学设计显着复杂化。系统优化方法解决了由于可变工况导致的多种不确定性，称为鲁棒优化可能会有益于ORC涡轮机的空气动力学设计。这项研究提出了一种新颖而快速的鲁棒形状优化方法，该方法克服了确定性优化的局限性，该确定性优化忽略了运行条件的可变性，已应用于著名的ORC应用超音速涡轮喷嘴。叶片周围的流动被假定为无粘性且绝热的，并使用开源SU2代码对其进行了重构。通过Peng-Robinson-Stryjek-Vera状态方程对非理想的气动力学进行建模。我们在这里提出一种单目标公式，其中包括在概率约束下以最小的计算量最小化目标目标数量（QoI）的α-分位数。此问题通过使用有效的鲁棒优化方法，耦合状态来解决最新的分位数估计和经典的贝叶斯优化方法。首先，相对于常规的基于均值的鲁棒优化，说明了基于分位数的公式的优点。其次，通过将最终的优化设计与使用全湍流求解器的确定性优化所获得的优化设计进行比较，我们证明了将这种强大的优化框架与低保真无粘性求解器一起应用的有效性。

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