hello,
In addition to whatever latexman has said, you need to study API-RP 520, Part-1. Refer to Clause No. 3.3 Back Pressure. To be more specific, you can refer 3.3.3.1 for conventional valves.
Just to give explanation on a query :
whether there is any relation between back pressure and orifice size. If you don't say anything beyond this, the simple answer is "YES". The reason....The flow from any kind of device (orifice, control valve, etc..) depends on its area and dP across it. Flow is constant for PSV orifice because it's the "required relief capacity". You can not deviate from process requirement. So, remaining variables are "dP", "area" and "velocity".
"dP" is driving force for the flow to occur. So, if you increase back pressure, means you decrease "dP" (Set pressure is same). Which means you need to provide higher area otherwise it may affect the flowing capacity of orifice based on velocity. Now, if you decrease back pressure, you have higher dP (driving force) available and you require less area. These are theoretical aspects.
To take care of such aspects, we consider "Back pressure correction factor" Kb, for sizing the orifice area. For conventional valve, Kb=1 when outlet piping is designed in such a way that total back pressure does not go above 10% of set pressure.
For balanced bellows valve, Kb can be found from Figure 30 & 31 on API-RP 520 Part-1.
When Kb < 1, it means you are increasing orifice area to take care of higher back pressures. (The relation which you are asking).Now, coming to your specific query,
QUOTE
I believe that the PSV outlet pipe size needs to be increased in order to lower the backpressure. However, my question is whether this means I need to increase the orifice size as well? Is there any relationship between the two?
I hope now you understand that if you decrease back pressure, you have higher dP available across orifice. So, you are on safer side and it does NOT require any change in orifice.
As told by latexman,
you can provide "expander" in the outlet of PSV nozzle to match with the outlet line size. In no case, 97% back pressure is allowed. You MUST change line size to higher one (4" or 6" based on % of back pressure to set pressure).
Thank you,