Changing strings always requires a few extra steps if you are increasing or decreasing gage. If you are going to use larger strings, remove the cover on the back of the guitar that hides the tremolo. You may have up to 5 springs inside that balance the tension of the guitar strings when tuned. I have a Jackson with a Floyd Rose that uses all 5 springs for maintaing proper height of the strings and the bridge.
You will also notice there are two adjustment screws connected to the plate that pulls on the springs, that, when tightened, will stretch the springs. Sometimes it is sufficient to tighten these two screws and re-intonate the guitar, and you are done. You can get additional springs at any guitar store.
The proper height to obtain is when the flat plate of the bridge is roughly parallel to the guitar face when all strings are in tune.
Don’t forget, there are two other things you should at least check and adjust as necessry.
One, the neck may bend a little more with heavier gage strings, and you can adjust the truss rod by tightening it a little. Go to the Stewart MacDonald site for info on adjusting a truss rod.
Two, set up the intonation! It will probably need at least some minor adjustment.

Good Luck!