hello,
Yes, cooling water (CW) failure is sometimes the controlling case.
There are basic steps to size flare system. I consider you know them. The one of the steps is to find out "governing relief scenario" or controlling case.
When CW failure occur, there will not be any condensing in the system. Vapors will start to build up the pressure inside system. There are more than one exchangers which use CW as medium to condense or to cool the vapors/liquids.
Therefore, when CW failure occur, all those exchangers will stop condensing. I would give simple example.
There is a condenser (using CW) at distillation column overhead. So, if there is no CW, overhead vapors in column will start to build up which will increase pressure of overhead system. The required relief capacity could be the "normal" vapor flow from top of of tower.
What will happen if you have 3 more columns in your unit? All will undergo same phenomenon. And simultaneous relief from all columns' PSV will start. Therefore, total relief requirement could be HUGE. This could be higher than any other case of simultaneous relief (e.g. Fire case) and become controlling for flare header and system sizing.
Refer to API- RP 520/521 for more clarity and details on the above scenario.
Thank you,