## 1 Introduction
The proposed technique was performed through open wye-open delta transformers under three practical systems and compared to those approaches that use other optimal techniques such as the GA, PSO, and conventional bird mating optimization (BMO). The outcomes of this research showed the ability of the proposed scheme to improve the voltage imbalance and deviation. A novel unsymmetrical faults analysis technique based on the actual three-phase models and boundary conditions was analyzed in [37]. Two relationship matrices presented by the bus injection to branch the current matrix and the branch current to bus voltage mismatch matrix were used to achieve the power flow solutions. These two matrices were used to observe the relation between bus voltage and bus current injections. The presented scheme can be used to solve assorted types of single or simultaneous unsymmetrical faults. A direct building algorithm for microgrid distribution ground fault analysis was discussed in [38]. Four possibilities of network topology changes were considered for ground fault analysis. In addition, research analyzed the ground fault model of a battery as a distributed energy resource which can be used for both islanded and grid-connected modes. An optimal sizing approach of hybrid grid-connected photovoltaic wind power systems for real hourly wind and solar irradiation data and electricity demand from a certain location was presented in [39]. The methodology was tested by means of a case study in which the actual hourly electricity retail and market prices were implemented to obtain a realistic estimation of life cycle costs and benefits. A sensitivity analysis that allows the detection of the variables for which the system is more sensitive was also performed. A novel intelligent damping controller (NIDC) for the static synchronous compensator (STATCOM) was discussed in [40] to damp power system oscillations. The proposed NIDC consists of a PID linear controller and functional link-based novel recurrent fuzzy neural network (FLNRFNN). The NIDC for the STATCOM was developed to improve both transient stability and system oscillations. The NIDC is unlike conventional controllers, the performance of which degrades for such changes and retuning is required to produce the desired performance. A new cascaded PD-fuzzy PID controller was analyzed in [41] for a hybrid source unified power system for automatic generation control. The optimization of scaling parameters of the suggested controller was performed using the hybrid grey wolf optimization teaching-learning-based optimization (GWO-TLBO) technique. Both the AC tie line and AC-DC tie line were considered when analyzing the dynamic performance of the system. Furthermore, the frequency stability of the system was improved by employing unified power flow controller (UPFC) in the system. Moreover, various architectures, design criteria, sizing methodologies, and a control paradigm of an integrated renewable hybrid energy system were presented in [42]. A practical hybrid energy system depending on various parameters such as technological, economical, socio-political, and environmental factors was considered. For all these reasons, this paper proposes a new control approach in a small power system consisting of the standard IEEE nine-bus three-generator test model with three high-penetration wind farms. The proposed method is accessible by implementing two decentralized FLC-based schemes. First, one is applied for the governor of conventional generators to mitigate frequency deviations. Meanwhile, the latter is constructed in the pitch angle system of wind turbines to smooth the wind output power fluctuations and therefore enhance the total system performance. The GA is used to tune the input and output membership function parameters of the fuzzy logic controllers to ensure the best performance. The effectiveness of the proposed technique is verified by the numerical simulations in the MATLAB(r)/SIMULINK(r) environment under normal and faulty operating conditions.