## 4 Results and Discussion
### 34 and 85 Node RDNs - \(Cs_{2}\)
\begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline \multirow{2}{*}{**Months**} & \multicolumn{6}{c}{**Compensated**} \\ \cline{2-9}  & \multicolumn{2}{c}{**January-March**} & \multicolumn{2}{c}{**April-June (1.8)**} & \multicolumn{2}{c}{**July-September (1.4)**} & \multicolumn{2}{c}{**October–December (1.3)**} \\ \hline
**Use Cases** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** \\ \hline  & 150 (19) & 300 (17) & 150 (19) & 300 (17) & 150 (19) & 300 (17) & 150 (19) & 300 (17) \\ kvar injected at node & 481 (21) & 300 (20) & 481 (21) & 300 (20) & 481 (21) & 300 (20) & 481 (21) & 300 (20) \\  & 836 (24) & 600 (23) & 836 (24) & 600 (23) & 836 (24) & 600 (23) & 836 (24) & 600 (23) \\  & 539 (8) & 600 (8) & 539 (8) & 600 (8) & 539 (8) & 600 (8) & 539 (8) & 600 (8) \\ Total kvar injected & 2007 & 1800 & 2007 & 1800 & 2007 & 1800 & 2007 & 1800 \\ Active loss (kV) & 158 & 160 & 719 & 722 & 611 & 613 & 460 & 462 \\ Reactive loss (kvar) & 43.3 & 45.2 & 207 & 209 & 176 & 78 & 131 & 133 \\ Active loss reduction (\%) & 28.5 & 27.9 & 8 & 7.7 & 9.5 & 9 & 13 & 11.7 \\ Reactive loss reduction (\%) & 33.4 & 30.5 & 9.7 & 8.7 & 11 & 10 & 14 & 13 \\ \(V_{min}\) at node & 0.95 (27) & 0.95 (27) & 0.79 (27) & 0.77 (27) & 0.80 (27) & 0.80 (27) & 0.86 (27) & 0.82 (27) \\ \(V_{max}\) at node & 0.99 (2) & 0.99 (2) & 0.90 (2) & 0.90 (2) & 0.93 (2) & 0.92 (2) & 0.94 (2) & 0.94 (2) \\ Annual cost (USD (S)/year) & 26,655 & 26,894 & 120,883 & 121,277 & 102,602 & 103,169 & 76,553 & _77,697_ \\ Capacitor cost (USD (S)/year) & 1003 & 900 & 1003 & 900 & 1003 & 900 & 1003 & 900 \\ Net saving (USD (S)/year) & 10,586 & 10,347 & 10,511 & 10,117 & 10,777 & 10,203 & 11,438 & 10,294 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Results comparison of \(N_{1}\) for \(CS_{2}\) (Scenario 1). \begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline \multirow{2}{*}{**Months**} & \multicolumn{6}{c}{**Compensated**} \\ \cline{2-9}  & \multicolumn{2}{c}{**January–March**} & \multicolumn{2}{c}{**April-June (1.8)**} & \multicolumn{2}{c}{**July–September (1.4)**} & \multicolumn{2}{c}{**October–December (1.3)**} \\ \hline
**Use Cases** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** & **Use Case 1** & **Use Case 2** \\ \hline  & 150 (19) & 300 (17) & 160 (19) & 600 (17) & 426 (19) & 450 (17) & 445 (19) & 450 (17) \\ kvar injected at node & 481 (21) & 300 (20) & 1134 (21) & 600 (20) & 475 (21) & 450 (20) & 353 (21) & 600 (20) \\  & 836 (24) & 600 (23) & 1200 (24) & 600 (23) & 722 (24) & 600 (23) & 602 (24) & 300 (23) \\  & 539 (8) & 600 (8) & 853 (8) & 600 (8) & 723 (8) & 600 (8) & 589 (8) & 450 (8) \\ Total kvar injected & 2007 & 1800 & 3347 & 2400 & 2350.9 & 2100 & 1990 & 1800 \\ Active loss (kW) & 158 & 160 & 555 & 557 & 479 & 497 & 370 & 375 \\ Reactive loss (kvar) & 43.3 & 45.2 & 156.5 & 162.8 & 140.3 & 143 & 105 & 109 \\ Active loss reduction (\%) & 28.5 & 27.9 & 28.9 & 28.7 & 28.9 & 26.2 & 29.2 & 28.2 \\ Reactive loss reduction (\%) & 33.4 & 30.5 & 31.7 & 28.9 & 29.1 & 27.4 & 31.6 & 28.7 \\ \(V_{min}\) at node & 0.95 (27) & 0.95 (27) & 0.91 (27) & 0.90 (27) & 0.90 (27) & 0.89 (27) & 0.91 (27) & 0.90 (27) \\ \(V_{max}\) at node & 0.99 (2) & 0.99 (2) & 0.99 (2) & 0.99 (2) & 0.99 (2) & 0.99 (2) & 0.99 (2) & 0.99 (2) \\ Annual cost (USD (S)/year) & 26,655 & 26,894 & 93,292 & 93,613 & 80,505 & 83,624 & 62,252 & 63,111 \\ Capacitor cost (USD (S)/year) & 1003 & 900 & 1673 & 1200 & 1175 & 1050 & 995 & 900 \\ Net saving (USD (S)/year) & 10,586 & 10,347 & 38,101 & 37,781 & 32,866 & 29,748 & 25,740 & 24,880 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Results comparison of \(N_{1}\) for \(CS_{2}\) (Scenario 2).