## 6 Scenario Study
### Scenario B  
The Scenario B results are shown in Figures 17-19 where the input wind speeds are variable. Figure 17a displays the frequency nadir which is 59.630 Hz after a synchronous generator trip of the presented technique, incorporating the battery control system. The MPPT control scheme's frequency, 59.469 Hz, is 0.161 Hz less than the minimum frequency point of the proposed technique, Technique I with a frequency of 59.574 Hz is 0.056 Hz less, Technique II which is 59.601 Hz is 0.029 Hz less than the proposed technique, and the proposed scheme without the battery system frequency of 59.602 Hz is 0.028 Hz less than the proposed technique with the battery system.  
As seen in Figures 18 and 19, as the input wind speed decreases in WPP\({}_{1}\), the control gains in the suggested technique, Technique I, and Technique II are zero since \(\omega_{r}\) reaches the minimum value. However, the Technique I frequency displays a second frequency dip because the gain is abruptly set to zero, resulting in a rapid decrease in the WPP\({}_{1}\) power output. In the suggested frequency control technique, the lithium-ion battery power output is varied by \(\omega_{r}\) and SOC for supporting the output power of WPG. Therefore, the proposed strategy shows a higher frequency nadir for the variable input wind speed.  
The frequencies obtained by implementing the proposed technique as compared to the conventional approaches have been summarized in Table 1. In Scenario A, the minimum point of the frequency after the disturbance is 59.728 Hz in the proposed technique. The MPPT technique with 59.521 Hz is less than the proposed technique by 0.207 Hz, Technique I with 59.624 Hz is less than the proposed technique by 0.104 Hz, Technique II with 59.697 Hz is less than the proposed technique by 0.031 Hz, and the proposed technique without the battery control system with 59.709 Hz is less than the proposed technique by 0.019 Hz. In Scenario B, the frequency nadir is 59.630 Hz after a synchronous generator trip of the proposed technique, incorporating the battery control system. The MPPT control scheme's frequency, 59.469 Hz, is 0.161 Hz less than the minimum frequency point of the proposed technique, Technique I with a frequency of 59.574 Hz is 0.056 Hz less, Technique II which is 59.601 Hz is 0.029 Hz less than the proposed technique, and the proposed technique without  
Figure 16: Results for Scenario A: (**a**) WPP\({}_{1}\)’s auxiliary power output; (**b**) WPP\({}_{2}\)’s auxiliary power output; (**c**) WPP\({}_{1}\)’s gain; (**d**) WPP\({}_{2}\)’s gain; (**e**) speed of WPP\({}_{1}\) rotor; (**f**) speed of WPP\({}_{2}\) rotor.  
the battery system frequency of 59.602 Hz is 0.028 Hz less than the proposed technique with the battery system. The frequency values indicate the improved performance of the proposed technique, where more energy is released into the system even under variable input wind speeds.  
Figure 17: Scenario B: (**a**) frequency; (**b**) total output power.  
Figure 18: Results for Scenario B: (**a**) WPP\({}_{1}\) and battery\({}_{1}\) power output; (**b**) WPP\({}_{2}\) and battery\({}_{2}\) power output; (**c**) battery’s power output; (**d**) battery’s \(SOC\).