## 3 Experimental Results
### Results of IEEE 33-Bus System
* **Scenario II:** Installation of only CBs  
For this scenario, the obtained results are demonstrated in Table 3, where the optimum locations and capacities of CBs are found through AOA and compared with the other optimization algorithms. The capacity of each CB, which initially had limits of \(\pm\)3000 kVAR, is determined with the proposed algorithm as 556 kVAR, 513 kVAR, and 965 kVAR and installed in buses 8, 24, and 30, respectively. The total power loss achieved 139.41 kW by reducing 33.92% with the installation of CBs. * **Scenario III:** Installation of DGs and CBs simultaneously  
The AOA is employed to specify the optimum placements and sizes of DGs and CBs simultaneously by minimizing the total power loss and voltage deviation in this scenario. DGs are settled in buses 14, 25, and 30 with sizes 794 kW, 881 kW, and 1100 kW, respectively, and CBs are settled in buses 14, 25, and 30 with sizes 384 kVAR, 436 kVAR, and 1009 kVAR, respectively. Thus, the total power loss decreases from 210.98 kW to 12.6571 kW by reducing 94%. The results of the AOA are compared to the other optimization algorithms in Table 4.  
* **Scenario IV:** Installation of DGs at the optimal power factor  
In this scenario, in addition to the optimal location and capacity, the optimal power factor of the DGs is also determined with AOA. The lowest power loss is obtained in this \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Method** & **Bus No.** & **DG Size (kW)** & **Bus No.** & **CB Size (kVAR)** & **Power Loss (kW)** & **Loss Reduction (\%)** \\ \hline \multirow{3}{*}{GA [21]} & 16 & 0.25 & 18 & 300 & \multirow{3}{*}{71.25} & \multirow{3}{*}{64.661} \\  & 22 & 0.25 & 29 & 300 & & \\  & 30 & 0.50 & 30 & 600 & & \\ \hline \multirow{3}{*}{BFOA [19]} & 17 & 0.5424 & 18 & 163.2 & \multirow{3}{*}{41.41} & \multirow{3}{*}{80.37} \\  & 18 & 0.1604 & 30 & 541.0 & & \\ \cline{1-1}  & 33 & 0.8955 & 33 & 338.4 & & \\ \hline \multirow{3}{*}{WCA [22]} & 25 & 0.973 & 23 & 465 & \multirow{3}{*}{24.688} & \multirow{3}{*}{87.82} \\  & 29 & 1.04 & 30 & 565 & & \\ \cline{1-1}  & 11 & 0.563 & 14 & 535 & & \\ \hline \multirow{3}{*}{AOA} & 14 & 0.794 & 14 & 384 & \multirow{3}{*}{12.6571} & \multirow{3}{*}{94.00} \\  & 25 & 0.881 & 25 & 436 & & \\ \cline{1-1}  & 30 & 1.100 & 30 & 1009 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The results of optimum DGs and CBs allocation for IEEE 33-bus system. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Method** & **Bus No.** & **CB Size (kVAR)** & **Power Loss** & **Loss Reduction** \\  & 9 & 450 & & \\ IP [18] & 29 & 800 & 171.78 & 18.58 \\  & 30 & 900 & & \\ \hline \multirow{3}{*}{SA [18]} & 10 & 450 & & \\  & 30 & 350 & 151.75 & 28.07 \\  & 14 & 900 & & \\ \hline \multirow{3}{*}{BFOA [19]} & 18 & 349.6 & & \\  & 30 & 820.6 & 144.04 & 31.72 \\  & 33 & 277.3 & & \\ \hline \multirow{3}{*}{AOA} & 8 & 556 & & \\  & 24 & 513 & 139.41 & 33.92 \\ \cline{1-1}  & 30 & 965 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The results of optimum CBs allocation for IEEE 33-bus system. scenario when it is compared to the other scenarios and other optimization algorithms. This scenario suggests installing DGs on buses 14, 24, and 30, respectively. The capacities of the DGs are determined to be 777.6 kW, 1053.5 kW, and 1050.4 kW, respectively, and the optimal power factors of the DGs are found to be 0.9081, 0.9018, and 0.7136, respectively. Thus, total power losses are reduced to 11.7752 kW by decreasing 94.42%. The results of AOA and other algorithms are given in Table 5. Although the total DG size is bigger than the other compared algorithms, the least power loss is achieved with the AOA.