No, there isn't a single, dedicated fuse solely for the charging system (alternator) in a 1989 Cadillac Brougham. The charging system's protection is primarily handled by the
alternator's internal regulator and the
wiring's gauge, which are designed to handle the current. A short circuit or major fault in the system would typically cause the alternator to fail or, in extreme cases, damage other components. Problems with the charging system are more often addressed by testing the alternator, battery, and related wiring rather than checking fuses.
While there aren't fuses *directly* for the alternator, issues with the charging system might manifest as blown fuses in related circuits, such as those powering the gauge cluster (which would show a charging system warning light) or other accessories. So, checking the fuse box for blown fuses *in general* could be part of troubleshooting a charging problem, but it's not a direct solution.