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Francis turbine runner multi-condition optimization method capable of giving consideration to hydraulic and strength performances

An optimization method, mixed flow technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as the inability to take into account hydraulic and strength performance at the same time

Active Publication Date: 2018-01-02
XIAN UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] The purpose of the present invention is to provide a mixed-flow runner multi-condition optimization method that takes into account both hydraulic and strength performances, by integrating the full three-dimensional inverse problem calculation method of the incoming flow and rotating runner, the performance analysis process of the runner, and the multidisciplinary goal The function processing method and the global multi-objective optimization algorithm realize the multi-condition optimization design of the Francis runner taking into account the hydraulic and strength performance, and solve the problem that the hydraulic and strength performance under different working conditions cannot be considered in the current Francis runner design technology

Method used

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  • Francis turbine runner multi-condition optimization method capable of giving consideration to hydraulic and strength performances
  • Francis turbine runner multi-condition optimization method capable of giving consideration to hydraulic and strength performances
  • Francis turbine runner multi-condition optimization method capable of giving consideration to hydraulic and strength performances

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Embodiment

[0093] The optimized design method proposed by the present invention is used to optimize the design of the runner of a certain Francis turbine model. The parameters of the Francis model runner are shown in Table 1 below:

[0094] Table 1 Parameters of the Francis turbine model

[0095]

[0096] First, according to steps 1.1-1.2, determine the distribution curves of relative velocity moments at the upper crown and lower circulation lines of the blade area, and use the four-point cubic Bezier curve to fit the two distribution curves, so as to obtain y H2 、y H4 、y H4 、y H4 the initial value of .

[0097] Then, the shape of the upper crown in the original axial flow channel is fitted with a five-point quadrilateral Bezier curve, and then x is determined according to step 1.3 p2 、x p4 the initial value of .

[0098] For the present embodiment, the initial distribution law of the relative thickness of the blade airfoil is taken as the relative thickness distribution law of ...

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Abstract

The invention discloses a Francis turbine runner multi-condition optimization method capable of giving consideration to hydraulic and strength performances. The method specifically comprises the following steps: obtaining three-dimensional blade aerofoil data of runner blades according to an optimization design variable of the Francis turbine runner and an inflow vortex runner full three-dimensional inverse problem calculation method, thereby obtaining the runner blade aerofoil; obtaining hydraulic efficiency eta i of the runner blades under each condition, the lowest pressure coefficient Cpion the runner blades, and the maximum equivalent stress sigma i on the blades; and processing the obtained hydraulic efficiency eta i of the runner blades under each condition, the lowest pressure coefficient Cpi on the runner blades and the maximum equivalent stress sigma i on the blades, obtaining the final objective functions d eta (X), d Cp (X) and d sigma (X) of the optimized problem, and establishing a mathematical model to optimize the Francis turbine runner blades according to the obtained objective functions. According to the method disclosed by the invention, the problem that the hydraulic and strength performances under different conditions cannot be simultaneously taken into account in the existing Francis turbine runner design technology is solved.

Description

technical field [0001] The invention belongs to the technical field of optimization of hydraulic machinery runners, and relates to a mixed-flow runner multi-working condition optimization method that takes hydraulic and strength performance into consideration. Background technique [0002] The hydraulic turbine is the key equipment in the field of hydraulic energy development, and the hydraulic turbine runner is the core component that determines the overall performance of the hydraulic turbine. Therefore, its optimal design method has a crucial impact on the development and utilization of hydraulic energy. [0003] At present, applying a model runner with a similar specific speed and modifying it based on the analysis results of CFD numerical analysis technology is a conventional Francis turbine runner design method. This method takes a long time and relies heavily on manual experience. With the development of computer technology Although there have been some automatic opti...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 朱国俊罗兴锜冯建军郭鹏程吴广宽
Owner XIAN UNIV OF TECH
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