## 6 Simulation Results
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline  & & \multicolumn{4}{c}{\(\mathbf{f_{1}}\)} & \multicolumn{4}{c}{\(\mathbf{f_{2}}\)} & \multicolumn{4}{c}{\(\mathbf{f_{3}}\)} \\ \hline  & **PSO** & **GA** & **ABC** & **MABC** & **PSO** & **GA** & **ABC** & **MABC** & **PSO** & **GA** & **ABC** & **MABC** \\ \hline Loss (MW) & 12.83 & 12.94 & 12.85 & 12.36 & 12.92 & 12.98 & 12.88 & 12.39 & 13.07 & 13.13 & 12.94 & 12.72 \\ \hline Line charging reactive power (MVAr) & 27.45 & 26.23 & 27.14 & 28.32 & 32.21 & 31.47 & 32.27 & 33.14 & 30.24 & 30.19 & 30.54 & 31.03 \\ \hline Generator reactive reserve (MVAr) & 161.8 & 159.3 & 160.9 & 162.7 & 147.6 & 145.1 & 149.2 & 149.9 & 157.3 & 151.4 & 157.2 & 158.7 \\ \hline Reactive power supply cost (\$/h) & 394.5 & 397.2 & 387.2 & 381.6 & 437.7 & 430.87 & 435 & 426.7 & 357.6 & 359.6 & 353.2 & 350.1 \\ \hline Average voltage of the bus & 0.964 & 0.953 & 0.972 & 0.991 & 1.014 & 1.016 & 1.012 & 1.011 & 0.984 & 1.003 & 0.992 & 1 \\ \hline Capacators & Bus.5 & 18.4 & 19.7 & 18.2 & 19.1 & 19.3 & 19.8 & 19.4 & 18.9 & 19.1 & 19.3 & 19.3 & 19.8 \\ (MVAr) & Bus.24 & 4.3 & 4.23 & 4.11 & 3.91 & 4.3 & 3.86 & 4.11 & 4.05 & 4.3 & 4.3 & 4.09 & 4.3 \\ \hline SVC & Bus number & 7 & 7 & 24 & 28 & 27 & 27 & 27 & 27 & 9 & 8 & 28 & 28 \\ (MVar) capacity & 44.6 & 48.2 & 49.3 & 49.7 & 40.4 & 42.7 & 40.6 & 45.1 & 41.2 & 38.5 & 40.6 & 40.3 \\ \hline TCSC & Line number & 35 & 28 & 36 & 41 & 34 & 27 & 32 & 16 & 11 & 32 & 12 & 8 \\ compensation & \(-0.63\) & \(-0.52\) & \(-0.82\) & \(-0.51\) & \(-0.68\) & \(-0.83\) & \(-0.82\) & \(-0.86\) & \(-0.84\) & \(-0.23\) & \(-0.41\) & \(-0.32\) \\ \hline  & & \multicolumn{4}{c}{\(\mathbf{f_{4}}\)} & \multicolumn{4}{c}{\(\mathbf{f_{5}}\)} & \multicolumn{4}{c}{\(\mathbf{f_{6}}\)} \\ \hline  & **PSO** & **GA** & **ABC** & **MABC** & **PSO** & **GA** & **ABC** & **MABC** & **PSO** & **GA** & **ABC** & **MABC** \\ \hline Loss (MW) & 12.77 & 12.32 & 11.89 & 11.52 & 13.21 & 13.18 & 13.09 & 13.02 & 12.88 & 12.65 & 12.23 & 12.1 \\ \hline Line charging reactive power (MVAr) & 28.4 & 28.9 & 29.2 & 29.5 & 28.3 & 29.3 & 28.2 & 30.4 & 34.2 & 33.1 & 34.9 & 34.9 \\ \hline Generator reactive reserve (MVAr) & 133.7 & 135.2 & 136.4 & 137.2 & 137.4 & 138.1 & 137.9 & 138.6 & 143.2 & 146.9 & 147.8 & 149 \\ \hline Reactive power supply cost (\$/h) & 463.2 & 465.1 & 460.1 & 457.8 & 493.1 & 490.4 & 487.3 & 481.6 & 568.2 & 569.4 & 561.5 & 553.2 \\ \hline Average voltage of the bus & 0.996 & 0.996 & 0.997 & 0.998 & 0.993 & 0.992 & 0.996 & 0.997 & 1.04 & 1.02 & 1.01 & 1 \\ \hline Capacators & Bus.5 & 19.2 & 18.4 & 19.6 & 17.2 & 3.45 & 3.67 & 3.88 & 2.79 & 19.2 & 18.4 & 18.7 & 15.7 \\ (MVAr) & Bus.24 & 4.2 & 4.1 & 4.3 & 4.3 & 0 & 0 & 0 & 0 & 4.2 & 3.9 & 4.1 & 3.6 \\ \hline SVC & Bus number & 23 & 23 & 25 & 24 & 23 & 23 & 25 & 21 & 13 & 12 & 27 & 28 \\ (MVAr) capacity & 16.5 & 14.23 & 15.61 & 13.58 & 50.9 & 51.1 & 50.8 & 48.4 & 41.4 & 36.8 & 45.2 & 37.7 \\ \hline TCSC & Line number & 7 & 9 & 12 & 3 & 32 & 35 & 31 & 34 & 12 & 32 & 14 & 40 \\ compensation & \(-0.64\) & \(-0.43\) & \(-0.23\) & \(-0.18\) & \(-0.83\) & \(-0.78\) & \(-0.65\) & \(-0.81\) & \(-0.81\) & \(-0.41\) & \(-0.78\) & \(-0.47\) \\ \hline \end{tabular}
\end{table} 
Table 1: Optimization res. As can be seen, the best voltage profile is obtained for the objective function that minimizes the voltage violation. The voltage profile that minimizes the total purchase cost of reactive power is also favorable.