At your next scheduled 1:1, be prepared with details on how you've been blowing away your targets, plus all the extras you've been doing that might not be easily visible via metrics or otherwise. Ask how you can get more involved to take on more responsibilities to help you progress your career. If this doesn't trigger a promotion conversation, ask what skills he/she feels you need to work on in order to progress to the next stage. Make notes. Follow-up during your next 1:1 about your progress towards these targets.
Be mindful and realistic about timelines and performance review / promotion periods. Don't initiate this discussion just before reviews - not only will it be viewed as opportunistic, but your manager will need time to build a case if he/she feels you're ready for it.
Express interest in being promoted and if you’re already performing at the next level and have evidence that you are ready for it. If you’re not quite ready (or your manager doesn’t think you are) ask for a growth plan. Figure out what skills, scope of work, etc is needed to move up and have your manager put it in writing. Track against that in your 1:1 meetings throughout the year so when it’s review time you have created a narrative to show how you’ve grown and are ready for the promotion you’re seeking.