## 4 Simulation Results and Discussion  
A 3-phase AC distribution network was explored to study the efficiency of the suggested SH-SPVBS. Five cases with different combinations of balanced/unbalanced nonlinear loads and balanced/unbalanced supply voltages were considered to prove the superior performance of the proposed system as given in Table 5. The supply voltage is considered to be balanced for cases 1-4 and unbalanced for case5. The obtained THD & PF of the supply current for the proposed NFIHC method is compared with those of existing techniques such as PI, ANN, and FL controllers and other controllers that are available in the literature for validation as given in Figures 13 and 14 and Table 6, respectively. The PF is calculated by Equation (37). \[PF=\cos\theta*\frac{1}{\sqrt{1+THD^{2}}} \tag{37}\]  
where \(\theta\) is the angle between voltage and current, with \(\frac{1}{\sqrt{1+THD^{2}}}\) representing the displacement factor. Figure 11: Structure of NFIHC. Figure 12: Flow of the proposed method. Figure 14: PF comparison. \begin{table}
\begin{tabular}{c c c c c c} \hline
**Load** & **Case 1** & **Case 2** & **Case 3** & **Case 4** & **Case 5** \\ \hline Balanced supply voltage & ✓ & ✓ & ✓ & ✓ & \\ Unbalanced supply voltage & & & & & ✓ \\
11 m/s wind speed & ✓ & ✓ & & ✓ & \\
10 m/s wind speed & & & & ✓ & \\ Balanced Redifier Load: & & & & ✓ & \\
30.00 \(\Omega\) \& 20.00 mH & ✓ & & ✓ & \\ Unbalanced R-L Load: & & & & & \\ R: 10, 20 \&15 \(\Omega\); L: 9.50, 10.50 \& & & ✓ & ✓ & ✓ \\
18.50 mH. & & & & & \\ Induction Furnace load: & & & & & \\ LC = 400.0 mH, 50.0 μF & & & ✓ & & \\ RL = 100.0 \& 100.0 mH & & & & \\ \hline \end{tabular}
\end{table} 
Table 5: Case studies considered. Figure 13: THD comparison of the proposed method with the controllers considered in the study. Figure 16: Waveforms for case 2. Figure 17: _Cont._  
Figure 17: Waveforms for case 3. Figure 18: Waveforms for case 4. In case 1, the source voltage was considered to be balanced for a three-phase balanced rectifier load with a constant 11 m/s wind velocity. The load currents were observed to be balanced but non-sinusoidal due to the nonlinear load. It is observed clearly from Figure 14(a) that the proposed method can give a sinusoidal source current. Such improvement in the waveforms has an impact on the THD and PF values. By injecting suitable shunt currents, the current's THD was decreased from 22.67 percent to 2.30 percent, which is lower than that of methods available in the literature given in Table 6, and the PF was raised from 0.714 to 0.988. In addition, the DC-Link voltage was maintained constant with a low settling time of 0.05 s as shown in Figure 14(b). In case 2, the balanced supply voltage for the unbalanced load with 11 m/s wind velocity was considered; the load current was sinusoidal and unbalanced as presented in Figure 15(a). It can be observed clearly that the NFIHC was able to reduce the THD from 11.45% to 2.29% effectively. As a result, the PF value boosted from 0.8452 to 0.9985. However, as shown in Figure 15(b), the DC-link voltage was maintained constant during load change. In case 3, the load current was non-sinusoidal and balanced due to the rectifier and furnace combined load as shown in Figure 16(a). By injecting the required currents, the NFIHC can reduce THD from 20.98 percent to 3.43 percent and enhance PF from 0.7455 to 0.9871 percent. In addition, it proves that it maintains a constant DC-Link voltage during load and wind speed variation from 11 m/s to 10 m/s as illustrated in Figure 16(b). Figure 19: Waveforms for case 5. In case 4, due to the combination of both nonlinear balanced and unbalanced loads being considered, the load current was non-sinusoidal and unbalanced as presented in Figure 17(a). It can be clearly observed that the NFIHC was able to reduce the THD from 16.87% to 2.4% effectively. As a result, the PF value rose from 0.8552 to 0.991.