I left a new built-in induction hob (4.6kW peak) on the ancient, single-circuit 230V/20A connection (for a historic complete cooker) and connected the new built-in oven (2.9kW peak) to a simple, separate 230V/16A standard connection and the problem was solved. Just in case, good induction hobs can be fitted with a power limiter via programming (e.g. all the plates are certainly not needed with Power Boost at the same time) so that the fuse does not blow.