vishalpsali,
To have a relief case you first have to get the column up to relief pressure. If your overhead vapour control valve can pass all the excess vapour without the pressure reaching the relief set pressure, then that's fine. If the valve is controlling the column pressure it will tend to go open if the vapour production increases. The pressure will not rise until the valve has gone fully open, so first you should check the maximum mass flow through this valve at normal pressure and 100% open.
Then you can make the conservative assumption that the PCV doesn't change its opening, and work out at what pressure it will pass the increased vapour at normal opening. If this is still below the relief pressure then this is not a relief case. if not, then the relief load on this conservative basis would be the difference between the vapour mass flow and the mass flow through the PCV. However, this is not likely to be the governing case.
Note that for your abnormal heat input relief case, presumably based on the reboiler utility control valve fully open, you should estimate the heat input to the column from the reboiler based on the higher bottom temperature at relief pressure. This higher temperature will reduce the heat input from the reboiler (less temperature difference across it) .
You can consider a different scenario, such as failure of the pressure controller, or of the PCV, so that the vapour outlet is blocked, That will become an overpressure relief case. Two other relief cases to consider are the feed valve fully open, and failure of the condenser..
For each of these, you should estimate the heat input to the column from the reboiler based on the higher bottom temperature at relief pressure, and normal utility flow.
Paul