In most cases the inverter is controlled for constant power output with current limiting functionality. The current limiting function in many WTG technologies is often set close to the rated inverter value, e.g. 1.1 per unit, but can be higher depending on cooling and the rating of the converter.
The current limit may also be dynamic, allowing higher currents for a short period of time and then reducing the limit to stay within equipment capabilities. This value is then equivalent to the maximum current contribution of the WTG.