A coreless rotating electrical machine for being operated under load exceeding rated load, driving method thereof, driving system including thereof; coreless rotating electrical machine for being operated under load exceeding rated load, driving method thereof, driving system including thereof, in which air space including air gap is formed by stator consisting of lid-type mount which fixes end face of energizable coreless cylindrical coil and rotor consisting of cylindrical mount or cup-type mount opposingly and rotatably positioned to lid-type mount with plurality of magnets equipped on inner surface of cylindrical or cup-type mount, wherein when load exceeds the rating, operation is enabled by adjusting supply amount of refrigerant liquid so the temperature of cylindrical coil does not exceed allowable maximum temperature at rated operation; refrigerant liquid supplied to air space including air gap to allow cylindrical coil to vaporize refrigerant liquid to cool by latent heat of vaporization of refrigerant liquid.