OK - so its a 40kW 60 Hz device. Induction heaters use the heating effect of eddy currents, and frequencies up to about 3kHz are used, Clearly a 60Hz version can use regular supplies from transformers possibly. If you have four coils, (which does not connect symmetrically to a 3-Phase supply), then I guess at transformer, and also possibly two sets of two parallel connected coils.
The structure sounds basic. Plain wire coils in an induction furnace are not a very wear-out item. Even if electrical kit is not your area of expertise, isolate the supplies (safety!!) and dare to look. The structures are essentially mechanical. The main degradation is likely to be at connection surfaces, corrosion, local heating, spillage and build-up, etc. Even if it comes to replacing the conductors, common sense rules. Supports and insulation are likely to require some care. Think about materials suited to the temperatures they might need to stand. If all thats needed is a clean-up, it is very likely you could contrive some help, if not do it in-house.
Of course... if each coil is driven from separate parts of the energy control kit, it might be as simple as finding the right fuses/contactors!