B-Spline Surface Construction for the Complete Characteristics of Pump-Turbine

Author

Yang Jiebin ; Yang Jiandong

Author_Institution

State Key Lab. of Water Resources & Hydropower Eng. Sci., Wuhan Univ., Wuhan, China

fYear

2012

fDate

27-29 March 2012

Firstpage

1

Lastpage

5

Abstract

Based on the modeling technique of B-spline curve and surface, a B-spline space curved surface in On´₁Q´₁M´₁ coordinate system is constructed for the representation of the complete characteristics of pump-turbine in this paper, in order to eliminate the multi-valued and non-corresponding problems existing in the plane curve representation. The theoretical analysis and the actual results show that by using this method, the two problems mentioned before can be overcomed, as well as a random opening curve and operating point on the characteristics space surface can be easily obtained through the surface interpolation.

Keywords

curve fitting; interpolation; pumps; splines (mathematics); surface fitting; turbines; B-spline curve; B-spline surface construction; operating point; plane curve representation; pump-turbine; random opening curve; surface interpolation; Equations; Interpolation; Mathematical model; Splines (mathematics); Surface reconstruction; Surface treatment; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Power and Energy Engineering Conference (APPEEC), 2012 Asia-Pacific

Conference_Location

Shanghai

ISSN

2157-4839

Print_ISBN

978-1-4577-0545-8

Type

conf

DOI

10.1109/APPEEC.2012.6307007

Filename

6307007