For individual contingencies, most Flares have methods (such as liquid seal) that intensionally hold a constant back pressure on the Flare Header.
Some Flare systems have additional backpressure due to purge gas input.
You should figure out all this for your specific site.
For multiple contingencies (such as general Fire, power failure)you will need a specific study to determine the rating of the Flare header.
I have seen one systems that had 24-psig superimposed back pressure for multiple contingency during a generaL FIRE.
I have also seen 12-psig for power failure.