On The Voltage Stability of The Power Electronics-Dominated Grid: Mathematical Derivation of The Stability Margin

This article provides insights into voltage stability problem in the futuristic power electronics-dominated grid (PEDG) through detailed mathematical derivations. It is revealed in this article, that active power control will be crucial for attaining voltage stability in the futuristic PEDG. This is due to its anticipated resistive nature as being a network situated at the grid-edge. This resistive nature creates strong coupling between voltage and active power. It is worth mentioning that the authors expect in the future, reactive power control may not be sufficient for resolving voltage stability problem in the futuristic PEDG. It is expected that the voltage will be decoupled from the reactive power. Besides, this article revisits the mathematical derivation of how the voltage stability margin at bus i is impacted by its own reference change. Then, it extends this derivation to how an adjacent bus j reference change impacts the voltage stability margin at bus i. Finally, the theoretical analysis is verified by running multiple scenarios.