# Non-Waste Technology for Utilization of Tree Branches
## 3 Results  
As a result of the research, the regression equation was obtained to find out the values of optimal parameters (cutting angle of tree branches during feeding and distance of knife protrusion from the disc plane) and their effect on the power consumption of the chopper motor (see Table 1). To determine the power consumption of small-sized branch choppers, the equation in encoded form will be as follows:  
\[y=1.5467+0.3138\cdot x_{1}+0.4800\cdot x_{2}+0.1600\cdot x_{1}^{2}+0.1625\cdot x _{1}\cdot x_{2}+0.2700\cdot x_{2}^{2} \tag{2}\]  
where \(x_{1}\) is the parameter of the cutting angle (the angle of feeding the branches to the loading tray) in encoded form, \(x_{1}=\frac{\alpha-0.2399}{0.261999}\); \(x_{2}\) is the parameter of the size of the knife protrusion in encoded form, \(x_{2}=\frac{h-0.01250}{0.02500}\). The obtained equations were studied using the Statistica 14.0 software package [18]. A graphical interpretation and regression levels of the dependence of the power consumption of the branch chopper on the cutting angle and the value of the knife protrusion are shown in Figures 9 and 10, respectively. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multicolumn{6}{c}{**The Value of the Factors**} \\ \hline \multirow{2}{*}{**Wood Feed Angle, Radian**} & \multicolumn{3}{c}{**The Size of the Protrusion of**} & \multicolumn{3}{c}{**Results of Experiment**} & \multicolumn{3}{c}{**Results of Calculations**} \\  & \multicolumn{3}{c}{**the Knives, M.**} & & & & & & & \\ \hline \(x_{1}\) & **Natural Value** & \(x_{2}\) & **Natural Value** & \(y^{\prime}_{sl}\) & \(y^{\prime\prime}_{sl}\) & \(y^{\prime\prime}_{sl}\) & \(y_{sl}\) & \(y^{\prime}_{sl}\) & \(y_{sl}-y^{\prime}_{sl}\) & **\%** \\ \hline \(-1\) & 0.261799 & \(-1\) & 0.01000 & 1.3261 & 1.3578 & 1.3523 & 1.3454 & 1.3328 & 0.0126 & 0.9454 \\ \(0\) & 0.523599 & \(-1\) & 0.01000 & 1.3496 & 1.3361 & 1.3244 & 1.3367 & 1.3197 & 0.0170 & 1.2882 \\ \(+1\) & 0.785398 & \(-1\) & 0.01000 & 1.6512 & 1.6374 & 1.6554 & 1.6480 & 1.6331 & 0.0149 & 0.9041 \\ \(-1\) & 0.261799 & 0 & 0.01250 & 1.3966 & 1.4032 & 1.3798 & 1.3929 & 1.3549 & 0.0380 & 2.8046 \\ \(0\) & 0.523599 & 0 & 0.01250 & 1.6018 & 1.5317 & 1.5066 & 1.5467 & 1.5266 & 0.0201 & 1.3167 \\ \(+1\) & 0.785398 & 0 & 0.01250 & 1.9715 & 1.9478 & 2.1422 & 2.0205 & 1.9853 & 0.0352 & 1.7730 \\ \(-1\) & 0.261799 & +1 & 0.01500 & 2.0310 & 1.8945 & 2.0157 & 1.9804 & 1.9910 & 0.0106 & 0.5324 \\ \(0\) & 0.523599 & +1 & 0.01500 & 2.2507 & 2.3100 & 2.3294 & 2.2967 & 2.2849 & 0.0118 & 0.5164 \\ \(+1\) & 0.785398 & +1 & 0.01500 & 3.0109 & 2.8950 & 2.8931 & 2.9330 & 2.9475 & 0.0145 & 0.4919 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Statistical indicators of the power consumption. Figure 9: Graphical interpretation of the dependence of the power consumption of the branch chopper \(y(w)\) on the cutting angle \(x_{1}(a)\). Figure 9 shows that the cutting angle (parameter \(\alpha\)) has a significant impact on the power consumption by the electric motor of the small-sized branch chopper. As the cutting angle increases, the power consumption of the chopping process increases. As the knife protrusion (parameter h) on the chopper disc increases, the power consumption also increases (Figure 10). Taking into account the methodology of experimental investigations and the obtained test results, it should be noted that the humidity of the tree branches affects the change in the energy parameters of the machine during the chopping of tree branches. Studies on the chopping of tree branches into fuel material were carried out using the branches of different humidity in the range from 100% (freshly cut wood) to 12% (dry wood) [19].