Several compensation techniques were introduced to overcome this problem. CPLs characteristics such as negative incremental resistance, synchronization, and control loop dynamic with similar frequency range of the inverter affect considerably the MG dynamic [15]. CPLs show a negative incremental impedance. It means that the input current decreases with increasing supply voltage. Meanwhile, the absorbed power does not change with any input voltage fluctuations, which moderates the MG damping causing instability or oscillatory response [12]. Modeling and analysis of IBMGs with CPLs were investigated using a new linear state-space model in [18]. A simple linear model corrected through a time-step simulation was proposed for CPLs. A sliding mode controller was developed for an MG system in the presence of CPLs to keep the output voltage constant at 480 V [19]. A robustness analysis of the sliding mode controller was performed. The performance of the proportional integral derivative (PID) was compared with the sliding mode controller to prove the superiority of the sliding mode controller over the PID controller. [PERSON]'s absolute stability theorem was utilized to analyze stability conditions for an AC MG in the presence of CPL [18]. Furthermore, the stability of the DCMG was investigated in [21; 22; 23; 24]. A comprehensive small-signal model was derived to study the overall stability of the DCMG involving CPLs [21]. The instability issue induced by the CPLs was revealed using the impedance matching criteria. The virtual-impedance-based stabilizers were presented to enhance the damping of DCMGs with CPLs and guarantee the stable operation. Using the active power control of PV arrays, a virtual inertia control (VIC) was introduced to enhance the inertia of a hybrid PV Array-battery DCMG [22]. In this proposed VIC, there is no need for any high-power energy storage system such as supercapacitors. Impedance-based stability analysis was utilized to study the VIC impact on improving the stability margin of the DCMG in the presence of CPLs. A finite-time disturbance observer (FTDO)-based backstepping control strategy with finite-time disturbance observers was presented to ensure the large signal stability of DCMGs using high boost ratio interleaved converter interfaced energy storage systems (ESSs) [23]. The proposed controller is utilized for stabilizing interleaved double dual boost converter (IDDBC) feeding CPLs in DCMGs. It is not limited to IDDBC but also applicable to other types of interleaved converters, which achieves fast dynamics and accurate tracking with large signal stability. A robust passivity-based control (PBC) strategy was presented to solve the instability problem caused by CPLs in DCMG systems [24]. The strategy was designed to stabilize and regulate the DC-bus voltage of the DCMG. CPL must be synchronized with MG to get the right power amount on the right time [25]. Regularly, phase-locked loop (PLL) is used to synchronize the CPL with MG, track the frequency, and extract the voltage phase angle of the MG [26]. A potential instability problem was raised because of the synchronization coupling and interaction between the synchronization unit and MG impedance [15]. It is worth mentioning that the PLL parameters should be carefully tuned to have a better MG dynamic performance [3]. Additionally, the CPLs control dynamics have a similar frequency range of the inverters. Therefore, studying the interaction between dynamics of the distributed generations (DCs) and CPLs should be essentially considered [27]. With high-level penetrations of CPLs, the MG stability will be more complicated and need more investigations. Having advantages such as flexibility, redundancy, and expandability, droop control techniques are proposed to improve the low-frequency damping in both steady-state and transient modes and overcome the stability problems related to the sudden disturbances [3; 12; 28; 29].