Mathematical Modelling for Power Requirement of Power Take-Off of Rotary Tiller

Abstract

For better performance and durability of tractor and machinery during field operations, it is necessary to select a proper matching machine/implement. The purpose of the study was to analyse the effect on parameters affecting to power requirement of power take-off (P.T.O) for rotary tiller, development of mathematical modelling and validation of the model under field conditions. Three different regression models (multiple linear regression, weighted least squares and stepwise regression) were used to predict the P.T.O power requirement. All three developed models were observed significant at 1% level with R2 value of 0.945, 0.984 and 0.940 for three models respectively. Correlation analysis was performed and all the parameters expressed positive correlation in relation to P.T.O power requirement. Speed of operation, moisture content, depth of cut, working width, peripheral velocity, number of blades and weight of rotary tiller were shown linear relation with P.T.O power requirement. L shaped blades consumed more power than the J and C shaped blades. Hard soil consumed more power followed by medium and light soil. The Mean Absolute Percentage Error (MAPE) ranged in reasonable limit for all three models. Based on higher R2 value, weighted least square regression model was found to be the best fit model for prediction of P.T.O power requirement of rotary tiller.