# Peak Energy Reduction in Flow Shop including Switch-Off Policies and Battery Storage
## 5 Numerical Analysis
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{2}{c}{**Power 10\%**} & \multicolumn{3}{c}{**UP Policy**} & \multicolumn{3}{c}{**UP\&D Policy**} \\ \hline  & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} \\ \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**20**} & \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**20**} \\ \(\mathbf{K}\) [\(kW*\)PTi/minute] \(\downarrow\) & & & & & & & \\ \(\mathbf{10}\) & \(-9.92\%\) & \(-10.25\%\) & \(-10.52\%\) & \(\mathbf{10}\) & \(-16.71\%\) & \(-18.66\%\) & \(-19.00\%\) \\ \(\mathbf{5}\) & \(-8.13\%\) & \(-10.19\%\) & \(-6.93\%\) & \(\mathbf{5}\) & \(-3.79\%\) & \(-3.32\%\) & \(-3.28\%\) \\ \(\mathbf{2.5}\) & \(-10.95\%\) & \(-8.44\%\) & \(-7.71\%\) & \(\mathbf{2.5}\) & \(-5.85\%\) & \(-5.64\%\) & \(-4.50\%\) \\ \hline \multicolumn{2}{c}{**Power 20\%**} & \multicolumn{3}{c}{**UP policy**} & \multicolumn{3}{c}{**UP\&D policy**} \\ \hline  & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} \\ \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**20**} & \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**20**} \\ \(\mathbf{K}\) [\(kW*\)PTi/minute] \(\downarrow\) & & & & & & \\ \(\mathbf{10}\) & \(-6.51\%\) & \(-3.98\%\) & \(-6.53\%\) & \(\mathbf{10}\) & \(-17.97\%\) & \(-14.08\%\) & \(-15.99\%\) \\ \(\mathbf{5}\) & \(-7.03\%\) & \(-8.87\%\) & \(-10.83\%\) & \(\mathbf{5}\) & \(-15.21\%\) & \(-22.58\%\) & \(-25.51\%\) \\ \(\mathbf{2.5}\) & \(-5.98\%\) & \(-1.77\%\) & \(-7.61\%\) & \(\mathbf{2.5}\) & \(-11.54\%\) & \(-8.35\%\) & \(-9.86\%\) \\ \hline \multicolumn{2}{c}{**Power 30\%**} & \multicolumn{3}{c}{**UP policy**} & \multicolumn{3}{c}{**UP\&D policy**} \\ \hline  & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} & \multicolumn{3}{c}{**Battery capacity [\(kW*\)PTi] \(\rightarrow\)**} \\ \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{\(10\)} & \multirow{2}{*}{\(15\)} & \multirow{2}{*}{**20**} & \multicolumn{2}{c}{**Charging speed**} & \multirow{2}{*}{**10**} & \multirow{2}{*}{**15**} & \multirow{2}{*}{**20**} \\ \(\mathbf{K}\) [\(kW*\)PTi/minute] \(\downarrow\) & & & & & & \\ \(\mathbf{10}\) & \(-8.91\%\) & \(-8.92\%\) & \(-9.29\%\) & \(10\) & \(-14.66\%\) & \(-15.41\%\) & \(-13.44\%\) \\ \(\mathbf{5}\) & \(-11.02\%\) & \(-10.85\%\) & \(-8.84\%\) & \(5\) & \(-20.19\%\) & \(-20.38\%\) & \(-21.67\%\) \\ \(\mathbf{2.5}\) & \(-10.99\%\) & \(-7.97\%\) & \(-6.42\%\) & \(2.5\) & \(-23.46\%\) & \(-26.70\%\) & \(-28.23\%\) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Energy used over the peak power switch-off policies. The capacity of the battery does not influence the average utilization. The combination of lower power fluctuation and higher charge rate leads to utilization over 90%, whereas the higher power fluctuation and lower charge rate cause a utilization