2021
DOI: 10.3390/en14092667
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Constraints of Parametrically Defined Guide Vanes for a High-Head Francis Turbine

Abstract: This paper is focused on the guide vane cascade as one of the most crucial stationary sub-systems of the hydraulic turbine, which needs to provide efficient inflow hydraulic conditions to the runner. The guide vanes direct the flow from the spiral casing and the stay vanes towards the runner, regulating the desired discharge. A parametric design tool with normalized geometrical constraints was created in MATLAB, suitable for generating guide vane cascade geometries for Francis turbines. The goal is to determin… Show more

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Cited by 5 publications
(4 citation statements)
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“…The numerical results were compared with experimental results, showing good conformity. Research by Stojkovski et al (2021) is to understand A parametric design tool with normalized geometrical constraints was created in MATLAB, suitable for generating guide vane cascade geometries for Francis turbines. The goal is to determine the limits of these constraints, which will lead to future faster prediction of initial guide vane configurations in the turbine optimal operating region.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The numerical results were compared with experimental results, showing good conformity. Research by Stojkovski et al (2021) is to understand A parametric design tool with normalized geometrical constraints was created in MATLAB, suitable for generating guide vane cascade geometries for Francis turbines. The goal is to determine the limits of these constraints, which will lead to future faster prediction of initial guide vane configurations in the turbine optimal operating region.…”
Section: Literature Reviewmentioning
confidence: 99%
“…All geometric sizes of the cascade are derived from the axis of rotation of the turbine [7]. All individual listed geometric parameters in the further context are combined in order to obtain dimensionless quantities, i.e.…”
Section: Referent Turbine Description and Guide Vanes Geometric Param...mentioning
confidence: 99%
“…In the human controlled design procedure and analysis, this parameter was left as free, to search the best enclosure angle. Chord line length L represents the blade length and depending on the adopted number of blades in the cascade Z gv , the parameter of cascade density is derived [-]: (7) As the cascade density is a relative parameter, it is used to develop different blade lengths, as the outlet circumference radius and the number of blades is kept constant for the turbine model. The inlet circle of the guide vanes is calculated using the Pythagorean Theorem from the projections of the length of the chord line along the x and y-axes and the outlet radius:…”
Section: Referent Turbine Description and Guide Vanes Geometric Param...mentioning
confidence: 99%
“…Here, too, adaptability is realized by pivoting guide vanes in the nozzle ring. In contrast to the nozzle ring, the Francis turbine rotor remains unchanged in geometry [19][20][21]. Pivoting guide vanes are also applied for controlling Kaplan turbines.…”
Section: Introductionmentioning
confidence: 99%