## 1 Introduction
It is summarized that inertial control strategies are preferred in this row, irrespective of de-loading control strategies (Figure 1) because these strategies are not economically viable [41]. Based on this concept, [PERSON] [42] minimized the FD and improved frequency stability by utilizing inertial emulation frequency control. However, for frequency stability studies, primary frequency control also has an important aspect [43]. A DFIG-based VSWT has the capability to provide PFC [44; 45] by stabilizing the frequency to its nominal value. With such an aim, various studies are found in the literature [46; 47]. However, in all these studies, inertial emulation is implemented with one-loop control, i.e., \(\Delta\)p \(\propto\) RoCoF. Later, a proportional control loop (\(\Delta\)p \(\propto\)\(\Delta\)f) is introduced with the above-mentioned one-loop control by [PERSON] et al. [48] and [PERSON] et al. [49]. One of the major benefits of utilizing two control loops is to operate a WT at its optimum operating point [50]. With such advantages, modified control loops are proposed for this research work. Despite introducing new control loops in a VSWT, an optimization algorithm is also equally important in such aspects. Various algorithms such as the (1) artificial bee colony algorithm [26], (2) quasi-oppositional harmony search algorithm [51], (3) squirrel search algorithm [52], (4) whale optimization algorithm [53], (5) bacterial foraging algorithm [54], and (6) genetic algorithm are used to provide optimized solutions for minimizing FD in frequency stability studies. However, these nature-inspired algorithms have their own importance in the world of electronics, but some drawbacks, like the percentage of accuracy in predicting natural behavior, human error, instrumental error, and environmental effects, have limited their usage to some extent for studies related to optimization and convergence mobility [30]. Therefore, the same authors present a new Student-Psychology-Based Algorithm (SPBA) methodology for optimization-related studies. That is why this SPBA was used in this study to optimize the proposed model. The primary aim of this study is to provide an inertial response or release the kinetic energy stored in rotational masses and provide smooth blade pitch angle control using the proposed control loops in the VSWT (Section 4) to enhance the large-scale hybrid WDPS performance and early frequency support during contingency. Without such proposed controls, the VSWT does not provide inertial support, due to fast-acting power-electronics converter control. Similarly, diesel generators are unable to provide assistance during wind variations and under power imbalance conditions. Therefore, the advantages of using the proposed methodology are the reductions in FD, inertial response degradation, fossil fuel dependency, greenhouse gas emissions, and local pollution under contingencies. In addition, this proposed approach (Section 4) does not require any regulation reserve, which allows the efficient usage of wind resources. Figure 1: General classification of various control strategies for VSWT. \begin{table}
\begin{tabular}{p{113.8 pt} p{113.8 pt} p{113.8 pt} p{113.8 pt}} \hline \hline
**Reference** & \begin{tabular}{c} **Type of WT/Power** \\ **System** \\ \end{tabular}  & **Methodology** & **Limitations/Drawbacks/Future Directions** \\ \hline
[55] & Isolated WDPS & \ \begin{tabular}{c} This study provides FR (isochronous) using the \\ proposed PI controller but is limited to \\ wind-only (WO) mode. Moreover, the ES and \\ irrigation water supply system are used for FR. \\ The main goal is to provide FR and save \\ fuel consumption. \\ \end{tabular}  & \begin{tabular}{c} Shutting down the diesel generator is not a viable solution, because diesel must have \\ minimum operation limits, either under load or \\ no-load conditions. \\ \end{tabular}  \\ \hline  
[55] & Isolated WDPS & \