In this paper, an analytical model of a five-degree-of-freedom wind turbine is derived, showing the effects of grid-forming control of the grid side inverter on the mechanical loading of the wind turbine system. Therefore, a nonlinear state space representation of the grid-forming inverter toward the point of common coupling (PCC) is derived and reduced to a more tractable model. The wind turbines are connected to the inverter via the DC link voltage. The paper shows how appropriate DC voltage control can be used to ensure a rapid response to disturbances caused by the grid-forming behavior of the grid-side inverter. The design approach is tested under various grid events, such as angle jumps due to changes in electrical load and power fluctuations in the lower subsynchronous frequency range, to demonstrate the effect and performance of the control concept on the turbine load.