Superconductors in Medium Frequency Induction Furnaces

Sure you can! why could´t you? It conduces (even better) and you can adjust the frequency as you please... The question you should ask is "does it worth the investment?" And don't forgett that to achieve the state~of superconductivity you need to drop to a very low tempª the matherial, and near a furnace you may have seriuos problems with that, so it may not be a good option!

thank you for your view. if we need to maintain very low temperature then how did sintef some up induction heating equipment for pre heating aluminium billets. if maintaining a low temperature is the prerequisite then isnt there any other alternative so that superconductors can be used in industrial scale induction furnaces?

This is why one needs to do there own research. I believe that you heard a rumor about superconductors being used in an induction furnace. This rumor could come from any of a variety of reasons. (I won't guess where or how.) At this time the highest temperature superconductor I know of has a critical temperature of -140°C. At the critical temperature, the quenching current density is also quite low so one needs to maintain a temperature even colder than this critical temperature. Then there's also the yet to be fully understood problem (by me) that despite superconductors having a zero voltage drop, Joule heating still occurs in a conducting superconductor.

Well, superconducting magnets are used to create high intensity static fields. Induction furnaces create varying magnetic fields which are turned into "shorted turn" currents that produce ohmic heating in the vessel.

So it looks as if you are barking up a conceptual tree that has no leaves...