At the MarinePartsEurope site, I do not see a 500B, only a 500A listed.
http://www.marinepartseurope.com/en/volvo-penta-schematics-MarineGasolineEngines.aspx
If you consider that this is a 1991 stern drive, it will be in the 290 family, even if labeled SP or DPA.
The 290 uses the anchorage bracket for the cylinder attachment.
This system also maintains a version of the reverse latch unit, also being used for impact break-a-way purposes.
The later drives omited the anchorage bracket and latch system in lieu of a direct suspension fork connection.
Even at that, the drive should not raise on it's own while powering in forward.
The hydraulic cylinder pump would need to be activated in order to raise the drive.
Simple tests:
disconnect the hydraulic pump harness at the pump and test to see if the drive is raising.
disconnect the trim switch and test to see if the drive is raising.
with the drive in the fully down position, tightly secure a wire to the base side of the cylinder, extend the wire along the length of the cylinder, and gently secure the AFT end of the wire to the stem end.
test drive the boat. if the wire has slipped and been pulled on at the stem end, then that would indicate that the cylinders are indeed extending.
if the wire has not slipped, then the cylinders have not been extending.
Side notes:
1.... With both drives being DP's, you'll be running both of them from the transmission's lower driven gear.
This means that a FWD shift will rotate the eccentric piston CW, dropping the shift shoe down and engaging the lower driven gear.
2.... A FWD shift will always extend the shift cable at the gear yoke (SEQ # 2 in the first schematic).
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