摘要
水泵水轮机的全特性曲线在水泵工况和反水泵区表现出"S"型特征,曲线存在交叉和重叠现象,这种流量和转矩的多值性会给过渡过程分析带来不便.采用改进的Suter曲线变换方法,将水泵水轮机在四象限内的全特性曲线转换为2组周期性变化的曲线,即WH(x,y)线和WM(x,y)线;在保持原有数据曲线特性不变的基础上,对水泵水轮机的全特性曲线进行了变换处理,然后采用最小二乘曲面拟合数学模型对变换后得到的WH曲线和WM曲线进行曲面拟合,得到了2组曲线的三维曲面拟合图.变换后的WH曲线和WM曲线平滑光顺,成为2组近似平行的曲线,消除了Suter转换曲线的分布不均匀和插值多值性等缺陷,从而消除了水泵水轮机全特性曲线在水泵和反水泵区的交叉和重叠现象以及曲线两端的分布不均匀现象,为水泵水轮机的过渡过程分析提供了方便.
The complete characteristic curves of pump turbines appear ' S' type at both pump and anti-pump working conditions.The multi-value characteristic of unit discharge and unit moment of the curves due to crossover and overlap phenomena can cause inconvenience for transition process analysis.Applying the method of improved Suter-transformation,the complete characteristic curves of the pump turbine can be transformed into two groups of periodic variation curves in the four quadrants,namely the WH(x,y) and WM(x,y) curves.The complete characteristic curves of the pump turbine were carried out for transformation based on the same curve characteristic of existing data,then the transformed fitting WH curve and WM curve were obtained by adopting the mathematical model of least square surface.Therefore,a three-dimensional surface was achieved containing the two curves.The WH curve and WM curve after transformation using improved Suter-transformation are smoothing and approximately parallel to each other,and therefore the multi-numerical values and nonuniform distribution defects of Suter-transformation curves can be avoided.So,it is possible to eliminate the crossover and overlap characteristics under the pump and the reverse-pump conditions,and improve the nonuniform distribution phenomenon at the two ends of the pump-turbine complete characteristic curve,thus it is convenient for the transition process analysis of pump-turbines.
出处
《排灌机械工程学报》
EI
北大核心
2013年第12期1061-1064,1104,共5页
Journal of Drainage and Irrigation Machinery Engineering
基金
国家自然科学基金资助项目(50808054
50979091)
高等学校博士学科点专项科研基金资助项目(20126118130002)
关键词
水泵水轮机
全特性曲线
“S”型特征
过渡过程
改进的Suter变换
pump-turbine
complete characteristic curve
' S' characteristic
transition process
improved Suter-transformation
