<p>Grid-forming (GFM) control for permanent magnetic synchronous generator (PMSG)-based wind turbine generator (WTG) is beneficial for alternating current (AC) grid frequency support. In this article, an enhanced GFM control is proposed for PMSG-based WTG so that the frequency support power can be provided. Two control methods can be implemented with the grid-side converter (GSC) adopting rotor speed synchronization control. The first method provides the inertia power from the rotor and capacitor during frequency excursion, while in the normal operation system operates in maximum power point tracking (MPPT). The second method provides the inertia power from rotor, capacitor and power reserve with WTG rotor speed larger than the optimal rotor speed. Moreover, the machine-side converter (MSC) adopts the hybrid synchronization with frequency feedforward for the better direct current (DC) voltage regulation. Besides, the frequency deviation of GSC is fed into the synchronization unit of MSC in order to better coordinate the GSC and MSC for grid support and DC voltage regulation to further release the DC capacitor energy. After that, system model including the PMSG, MSC and GSC is constructed for the parameter selection and simplified transient synchronization stability is presented. Simulations are carried out to further verify the analysis.</p>