Apples and oranges, I'm afraid. Essentially the PSL is a longer AK, but with enough modifications for the longer rimmed cartridge to make it very troublesome to make a conversion.
Assuming you put a PSL barrel on it, the only usable part from a normal AK kit would be the Yugo bulged trunion. Everything else would need to be proper PSL parts.
The PSL uses a longer receiver that opens up the magwell and pushes everything behind the magwell back farther. That's why the PSL has those reinforcement plates at the back of the rifle for the rear trunion/stock tang to actually be supported and riveted.
The bolt is an entirely different beast and is much larger for the large rimmed base. The barrel breech is contoured to allow the different bolt to properly lock up the rimmed cartridge. Remember the 54R headspaces from the rim, not the shoulder.
For all that trouble if you are wanting to convert one, then you should consider getting a PSL or a PSL kit (if you can find one) and building it with a normal AK style buttstock and pistol grip. PanaceaBeachBum built one a few years ago. There are also so-called "paratrooper" models with a shorter barrel. These had barrel issues that were cut down to a serviceable size and were sold as shorter barreled PSLs. Would probably be the best place to start.