where, Pm - Pe= ΔP is the generation load balance.
KE is the kinetic energy/rotational inertia in MWs.
Sn is the nominal apparent power of the machine in VA.
J is the moment of inertia in kg.m2.
H is the inertia constant in s.
The Rate of change of frequency (RoCoF) is depending on power balance and acceleration time constant T (2H). Once the magnitude and angle of voltage are determined, the network can be energized. However, the determination of the angle is based on power synchronization which is quite slow due to the inertia time constant.
2.1. Advantages of Grid Forming Converters
The grid-forming converters are essential to provide the robust dynamic support to the grid in the following aspects:
Operation with weak grid networks (Low short circuit ratio).
To stabilize the frequency and voltage of power grid networks.
Fault ride through capability for a large disturbance event in the grid.
To perform the re-synchronization operation the grid.
To achieve black-start capability.
References
Rocabert, Joan, et al. "Control of power converters in AC microgrids." IEEE transactions on power electronics, 2012.
NERC, Grid Forming Technology Bulk Power System Reliability Considerations, 2021.
Pontus Roos, A Comparison of Grid-Forming and Grid-Following Control of VSCs, 2020.
Habibullah, Mohammad, et al. "On Short Circuit of Grid-Forming Converters Controllers: A glance of the Dynamic Behaviour." IEEE PES Innovative Smart Grid Technologies Conference-Latin America, 2021.