@terrym thanks. I'll experiment outdoors today and see how much water I can keep on a rolling boil with my Adventys Lite 2500. I'll see if the manual says anything about pot size.
On my AEG four-ring induction hob the manual says the cooking power will be reduced if the pan is smaller than the ring (diameter). It recommends a pan no larger than the ring for optimum efficiency but does not say you can't use a larger pan.
My portable hob can only support a pan up to 8kg, so I won't be trying to boil much more than that in case the glass breaks!