Rotor and rotating electric machine

A rotor for a multi-layer V-shaped interior permanent magnet motor comprising a rotor core and a plurality of permanent magnets, the rotor to rotate about a rotary shaft, wherein

• in a cross-section perpendicular to the rotary shaft,
• one magnetic pole is formed by three or more magnetic-pole layers being arranged, each magnetic-pole layer being formed by a pair of magnet slots in a V shape opened radially outward from a center of the rotary shaft and the permanent magnets inserted in the magnet slots,
• each magnet slot has a magnet insertion portion in which the permanent magnet is inserted and flux barriers formed at both ends of the magnet insertion portion to prevent magnetic flux generated from the permanent magnet from returning to the permanent magnet without passing through a stator core,
• where a magnetic pole center of the one magnetic pole is defined as a d axis, a direction electrically perpendicular to the d axis is defined as a q axis, and an angle on the rotary shaft side between the q axis and a line parallel to a magnetic-flux output surface of the permanent magnet inserted in the magnet slot in each magnetic-pole layer is defined as a magnetic-pole-layer angle, the magnetic-pole-layer angles in the one magnetic pole become smaller as the magnetic-pole layers become closer to the rotary shaft, and
• where a shortest distance from the flux barrier on a radially outer side of the magnet slot to an outer circumferential surface of the rotor core is defined as a bridge width and a shortest distance between the magnetic-pole layers with permanent magnets adjacent to each other is defined as a magnetic-pole-layer interval, the magnetic-pole-layer interval is smaller than a sum of the bridge widths of the magnetic-pole layers adjacent to each other, wherein
• a shortest distance between the q axis and the flux barrier on the radially outer side of the magnetic-pole layer closest to the rotary shaft is smaller than the magnetic-pole-layer intervals in the magnetic pole.