The ongoing projects of heavy ion accelerators, like LHC at CERN and at GSI in Darmstadt, will require high-intensity ion beams, approximate to1 emA, of heavy elements like Pb27+. Electron cyclotron resonance ion sources (ECRIS) are good candidates for delivering such beams. Now they reach the domain of multi-Tesla magnetic fields and they can be realized almost only by superconducting windings. Correspondingly, the rf generators that can supply these ECRIS are gyrotrons in the 28-37 GHz frequency range, powerful enough to ionize and to heat up the large ECRIS plasmas. The first ECRIS operation at 28 GHz using a gyrotron, which is reported in this paper, was carried out on the superconducting device SERSE. Other ECRIS projects of this new generation are now under-way; they are shortly presented with their expected performances, together with some ECRIS prospects.