You can form and control the DC-link trough controlling the active power produced by the inverter. For this matter, you implement a closed-loop control o to produce in-phase AC current (which will produce active power).
If you have active power on the AC side, you might get power on the DC side an so the voltage in brought up. This strategy is feasible only in current-controlled DSTATICON.
In case case you're using the traditional DSTATION, where current isn't controlled, you have to act on the angle of the produced voltage so that you could draw some active power to regulate the DC-link
try to use vector control method. the dc-link is controlled by a closed loop control which produces the direct current reference to the current controller. then you set the reactive current Iq to zero through the Iq current controller. both controllers for Id and Iq which produce the reference voltage to the modulator.
To maintain the self supporting DC link , it is essential to draw some active power or Id (in SRF) from the grid.
It is necessary to keep the DC link under closed loop condition i.e. any change in the DC link voltage should result in change in amount of active power exchanged with the source.
The PI controller is most suitable for the closed loop control.