Abstract: In a superconducting magnet apparatus including one winding of coiled superconductor wire, another winding of coiled superconductor wire, a cooling device for supplying coolant to cooling vessels which contain the respective windings therein and a non-magnetic partition wall interposed between the cooling vessels containing the respective windings to airtightly separate them, with these windings being located at relative positions enabling mutual inductance therebetween, even if quenching occurs in the superconducting magnet apparatus. It is designed to not lose the magnetic repulsive force such that equipment traveling at high speed can be safely transferred at least to the nearest station. In addition, electromagnetic levitation traveling equipment on which the above-described apparatus is installed and a control method therefore is also described.