*5.1. The System Under Study*

A low-voltage microgrid is used to test the DPC model of the SCES system. The test system is depicted in Figure 2, which contains two SCES systems. Additionally, it has a wind power generator and unbalanced loads to generate power oscillations in the system, thus allowing SCES to compensate for oscillations. The test system data can be consulted in [2].

To assess the capability and robustness of the proposed controller, the controller is compared with interconnection and damping assignment IDA-PBC presented in [19]. The IDA-PBC was performed under the *αβ* reference frame. This implies that a PLL does not need to be implemented. However, it requires the derivatives of the desired values and the parameters of the system to be employed. This entails that the implementation of the IDA-PBC is more complicated than the proposed controller.
