If you have a safety popping at 3100 psig instead of 3400 psig there are several possibilities:
- pressure flucuations.
- incorrect PSV set pressure when it arrived from the PSV shop (mistakes happen)
- incorrect temperature correction for set pressure at operating temperature versus temperature when the PSV is bench tested (if it's a conventional PSV).
- physical problem with your PSV. For example, if it's a pilot operated PSV and the pilot is plugged so the system pressure isn't being passed to the PSV dome, the PSV can start to relieve below set point since the system pressure is used to hold the PSV closed until the set pressure is reached and the pilot releases the pressure on top of the dome (allowing the PSV to open).
For your process, what is the design feed temperature at the location you are worried about? What are the operating limits from your operating manual, PFDs, operating limits, etc. What I'm getting at is how did you conclude that the operating temperature of the system could be the problem.