Author(s): Tomio Ida

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Abstract: This report deals, first of all, with a method to convert the rotational speed, discharge, power output, hydraulic, mechanical and volumetric efficiencies of a model turbine to the values of the prototype turbine: the method is analytically obtained using equations for calculating hydraulic performance of a turbine. Secondly, the loss distribution coefficient V in the efficiency conversion formula is determined from analyses of component losses in measured performances of 15 model Francis turbines and pump-turbines with various specific speeds. Variation of Kopl - the value of V at the optimum efficiency - with the specific speed, and variation of V with the operating conditions are analyzed and a method to determine V in any operating condition is presented. In the Appendix, a method is introduced to derive equations to calculate the hydraulic performance characteristics used in the report, and the performances of model turbines calculated with these equations are compared with the measured one

DOI: https://doi.org/10.1080/00221688909499109

Year: 1989