Fapetu Oluseyi Feyisetan¹, Akinola Adebisi Olayinka², Akintunde Mutalubi Aremu¹, Raimi Oluwole Abiodun^2,, Adesina Fisayo²

Theoretical force plays an important role in the design of hydro power system when comparing it with the experimental force data which is a function of rate of momentum in jet while no significant reference is given to the estimated force which is statistically derived and also a factor of the experimental force data. The aim of the paper is to statistically derive an estimated model for the force in the Pico hydro turbine cup which will be an alternative for theoretical force in the experimental investigation. Data in the experiment were taken and recorded for six (6) different observations of added weight of mass of 2.5kg, 4.0kg, 6.0kg, 8.0kg and 10.0kg to quantity of mass of 7.5kg, 12.0kg, 18.0kg, 24.0kg and 30.0kg respectively. Regression analysis was the statistical tool employed with the aid of Minitab 16 software to get the estimated force for the variation of added weight of mass. The findings revealed that the estimated model for force on cup displays very significant output when compared with the theoretical force. It is concluded that the estimated force model can be an alternative for theoretical force in an experimental investigation of Pico hydro pelton turbine cup as long as it is specified within the limit of quantity of mass used.

validation, statistically derived estimated model, experimental investigation, Pico hydro, Pelton turbine cup