The consumer unit is the one with all the trips for the individual circuits for the house. The 32 A one is dedicated to the cooker. Currently the oven and the electric hob are wired directly to this fuse / trip.
My new AEG oven instructions recommend a fuse min 15A max 20A.
My old oven was jointly connected to a 32A fused consumer unit. Do I need to fit a separate fused unit for the oven ?