## 6 Simulation Results
### Daily Optimal Dispatches of VVC Devices
\begin{table}
\begin{tabular}{c|c c c|c c c|c c c|c c} \hline \hline  & \multicolumn{3}{c|}{**Disco**} & \multicolumn{3}{c|}{**DG1**} & \multicolumn{3}{c|}{**DG2**} & \multicolumn{3}{c}{**WT**} \\ \cline{2-13}
**Hour** & \(\Delta P^{L}\) & \(\Delta P^{Adj}\) & **Q** & \(\Delta P^{L}\) & \(\Delta P^{Adj}\) & **Q** & \(\Delta P^{L}\) & \(\Delta P^{Adj}\) & **Q** & \(\Delta P^{L}\) & \(\Delta P^{Adj}\) & **Q** \\  & **(kW)** & **(kW)** & **(kVAr)** & **(kW)** & **(kW)** & **(kVAr)** & **(kW)** & **(kW)** & **(kVAr)** & **(kW)** & **(kW)** & **(kW)** & **(kVAr)** \\ \hline  
94 & 0 & 0 & 0 & 0 & \(-\)28.98 & 0 & 0 & 0 & 93.81 & 0 & 0 & 32.87 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Daily optimal dispatch of generation units for case 1. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Hour**} & **Disco** & **DG1** & **DG2** & **WT** & \multirow{2}{*}{**Hour**} & **Disco** & **DG1** & **DG2** & **WT** \\  & **(kVar)** & **(kVar)** & **(kVar)** & **(kVar)** & **Hour** & **(kVar)** & **(kVar)** & **(kVar)** & **(kVar)** \\ \hline
1 & 0 & 87.86 & 41.02 & 66.65 & 13 & 1228.46 & 307.42 & 286.66 & 384.72 \\
2 & 0 & 65.16 & 77.62 & 37.94 & 14 & 0 & 131.48 & 264.96 & 275.53 \\
3 & 0 & 93.53 & 57.34 & 79.36 & 15 & 0 & 131.48 & 112.66 & 115.30 \\
4 & 0 & 98.61 & 105.25 & 124.29 & 16 & 0 & 131.48 & 166.54 & 246.82 \\
5 & 0 & 98.57 & 110.98 & 127.49 & 17 & 0 & 131.48 & 318.69 & 366.61 \\
6 & 0 & 98.61 & 120.54 & 137.52 & 18 & 1852.32 & 400 & 328.70 & 366.61 \\
7 & 0 & 98.61 & 132.63 & 165.34 & 19 & 2469.08 & 400 & 328.70 & 366.61 \\
8 & 0 & 98.61 & 95.55 & 209.17 & 20 & 2368.11 & 400 & 328.70 & 366.61 \\
9 & 0 & 131.48 & 190.22 & 229.27 & 21 & 1848.24 & 131.48 & 328.71 & 366.61 \\
10 & 1013.82 & 160.49 & 283.26 & 471.50 & 22 & 560.19 & 131.48 & 328.70 & 366.61 \\
11 & 1436.91 & 389.77 & 291.78 & 384.72 & 23 & 0 & 131.48 & 109.34 & 183.21 \\
12 & 1514.24 & 400.00 & 293.51 & 384.72 & 24 & 0 & 131.48 & 235.04 & 130.39 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Daily optimal reactive power dispatches of generation units for case 2. Figure 8: Daily optimal dispatches of the Sh.Cs for case 2. Figure 7: Daily optimal tap positions of OLTC for case 2. 6.2.3 Case 3: Stressed Operation for Peak Hours and Implementing the Benders Decomposition Algorithm  
In this case, due to the operational issues, the maximum reactive power of Disco was limited to peak hours (18-21) to get a more stressed operation situation. The maximum reactive power of Disco was decreased by 1300 kVAr, 1920 kVAr, 1860 kVAr, and 1050 kVAr at hours 18, 19, 20, and 21, respectively. Table 9 presents the results obtained for reactive power dispatches of generation units for peak hours. As indicated in Table 9, the \(\Delta P^{Adj}\) variable is not zero for Disco and DG2. Also, the reactive power of DG1 is increased by 400 kVar (maximum reactive power capability) at hours 20 and 21. Furthermore, since the active and reactive power values are coupled via the capability diagram, a reduction in the active power generation of DG2 takes place to adjust for the reactive power requirements of the system. The other results of daily optimal dispatches of generation units, OLTC, and Sh.Cs are not changed. Concerning the objective function, its final value is $714.99. This value is much greater than that of case 1 because it comprises the adjustment costs of the initially scheduled active powers.