【摘要】：在開(kāi)展混流式水輪機(jī)轉(zhuǎn)輪的多學(xué)科優(yōu)化時(shí)通常需要進(jìn)行設(shè)計(jì)變量的學(xué)科耦合強(qiáng)度分析,以便為建立簡(jiǎn)潔、高效的多學(xué)科優(yōu)化求解策略提供依據(jù)。該文提出了一種基于全局相對(duì)靈敏度的轉(zhuǎn)輪設(shè)計(jì)變量耦合強(qiáng)度分析方法,該方法基于參數(shù)化全三維反問(wèn)題設(shè)計(jì)理論實(shí)現(xiàn)對(duì)轉(zhuǎn)輪幾何的參數(shù)化控制,并通過(guò)改進(jìn)后的MorrisOAT法進(jìn)行各學(xué)科目標(biāo)函數(shù)對(duì)轉(zhuǎn)輪設(shè)計(jì)變量的全局相對(duì)靈敏度計(jì)算,然后以各設(shè)計(jì)變量的全局相對(duì)靈敏度集合為論域,引入模糊隸屬度函數(shù)量化計(jì)算設(shè)計(jì)變量對(duì)各學(xué)科目標(biāo)函數(shù)的隸屬度。最后,以各設(shè)計(jì)變量的隸屬度值為基礎(chǔ),提出了設(shè)計(jì)變量的耦合強(qiáng)度判定準(zhǔn)則,為設(shè)計(jì)變量的耦合程度屬性確定提供了參考。采用該文所提出的分析方法對(duì)某混流式水輪機(jī)模型轉(zhuǎn)輪的設(shè)計(jì)變量開(kāi)展了耦合強(qiáng)度分析,并根據(jù)變量的耦合強(qiáng)度分析結(jié)果開(kāi)展了轉(zhuǎn)輪的優(yōu)化設(shè)計(jì),優(yōu)化后的轉(zhuǎn)輪不僅使得水輪機(jī)在3個(gè)優(yōu)化工況下的水力效率分別提高0.2%、0.82%和1.2%,同時(shí)葉片的空化和強(qiáng)度性能也得到改善,該結(jié)果表明該文所提出的混流式水輪機(jī)轉(zhuǎn)輪設(shè)計(jì)變量耦合強(qiáng)度分析方法能可靠有效的界定各設(shè)計(jì)變量的耦合程度屬性,從而驗(yàn)證了方法的可行性。
[Abstract]:When the multidisciplinary optimization of Francis turbine runner is carried out, it is usually necessary to analyze the disciplinary coupling strength of design variables in order to provide a basis for the establishment of a concise and efficient multidisciplinary optimization solution strategy. In this paper, a method of coupling strength analysis of runner design variables based on global relative sensitivity is presented. The parametric control of runner geometry is realized based on parametric three-dimensional inverse problem design theory. The improved MorrisOAT method is used to calculate the global relative sensitivity of the objective function to the design variables of the runner, and then the global relative sensitivity set of each design variable is taken as the domain. The fuzzy membership function is introduced to quantitatively calculate the membership degree of the design variables to the objective functions of various disciplines. Finally, based on the membership values of each design variable, a criterion for determining coupling strength of design variables is proposed, which provides a reference for determining the coupling degree attributes of design variables. The coupling strength analysis of the design variables of a Francis turbine model runner is carried out by using the analysis method proposed in this paper, and the optimum design of the runner is carried out according to the coupling strength analysis results of the variables. The optimized runner not only increases the hydraulic efficiency of the turbine by 0.2%, 0.82% and 1.2% under three optimized conditions, but also improves the cavitation and strength performance of the blade. The results show that the coupling strength analysis method for Francis turbine runner design variables can reliably and effectively define the coupling degree attributes of each design variable, thus validating the feasibility of the method.
【作者單位】： 西安理工大學(xué)水利水電學(xué)院;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(51379174、51679195);國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目(51339005)
【分類(lèi)號(hào)】：TK733.1

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