Rotor core, rotor, rotating electric machine, and rotor core design method

Abstract

A rotor core (31) has: a front bridge (37f) provided between the outer peripheral surface (31a) of the rotor core (31) and a front flux barrier (35f); and a rear bridge (37r) provided between the outer peripheral surface (31a) of the rotor core (31) and a rear flux barrier (35r). The relative position of the center position θr of the rear bridge (37r) with respect to a rear reference position θsr of the rear flux barrier (35r) is positioned rotationally backward than the relative position of the center position θf of the front bridge (37f) with respect to the front reference position θsf of the front flux barrier (35f). The width Wf of the front bridge (37f) and the width Wr of the rear bridge (37r) are different from each other.

Description

[Technical Field]

[0001] The present invention relates to a rotor core, a rotor, a rotating electric machine, and a method for designing a rotor core. This application claims priority based on Japanese Patent Application No. 2023-060099, filed on April 3, 2023, the contents of which are incorporated herein by reference. [Background technology]

[0002] BACKGROUND ART A rotating electric machine such as that described in Patent Document 1 below has been known. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Application Publication No. 2020-162379 Summary of the Invention [Problem to be solved by the invention]

[0004] In this type of interior permanent magnet synchronous motor (IPMSM), there is a demand for practical application of technology that can suppress torque ripple.

[0005] The present invention has been made in view of the above-mentioned circumstances, and an object of the present invention is to reduce torque pulsation. [Means for solving the problem]

[0006] <1> A rotor core according to one aspect of the present invention is a rotor core used in an interior permanent magnet motor, wherein the rotor core has a plurality of sets of permanent magnets arranged in a circumferential direction of the rotor core, the rotor core has a plurality of insertion holes formed therein that penetrate the rotor core in the axial direction of the rotor core and into which the permanent magnets are inserted, the rotor core has flux barriers formed therein that correspond to at least one of the plurality of magnetic poles and penetrate the rotor core in the axial direction, the flux barriers include front flux barriers and rear flux barriers that correspond to each of the magnetic poles, the insertion holes include first insertion holes into which the permanent magnets arranged closer to the front of the magnetic poles in rotation are inserted, and second insertion holes into which the permanent magnets arranged closer to the rear of the magnetic poles in rotation are inserted, and the front the front flux barrier is provided radially outward of the rotor core and rotationally forward with respect to the first insertion hole and is connected to the first insertion hole, the rear flux barrier is provided radially outward of the rotor core and rotationally rearward with respect to the second insertion hole and is connected to the second insertion hole, the rotor core has a front bridge provided between an outer peripheral surface of the rotor core and the front flux barrier, and a rear bridge provided between the outer peripheral surface of the rotor core and the rear flux barrier, the relative position of a center position θr of the rear bridge with respect to a rear reference position θsr of the rear flux barrier is located rotationally rearward of the relative position of a center position θf of the front bridge with respect to the front reference position θsf of the front flux barrier, and a width Wf of the front bridge is different from a width Wr of the rear bridge. Here, the width Wf of the front bridge is defined by the central angle formed by the front bridge, and the width Wr of the rear bridge is defined by the central angle formed by the rear bridge.

[0007] <2> the above <1> In the rotor core according to the above, a width Wr of the rear bridge may be larger than a width Wf of the front bridge.

[0008] <3> A rotor according to one aspect of the present invention comprises: <1> or <2> and a plurality of sets of permanent magnets embedded in the rotor core, constituting magnetic poles, and arranged in the circumferential direction of the rotor core.

[0009] <4> A rotating electric machine according to one aspect of the present invention includes an annular stator and the above-described rotors disposed within the stator. <3> and the rotor described in .

[0010] <5> the above <4> In the rotating electric machine according to the above, the rotor core has a front bridge provided between an outer peripheral surface of the rotor core and the front flux barrier, and a rear bridge provided between the outer peripheral surface of the rotor core and the rear flux barrier, wherein when a central angle θs per slot of the stator is θs=2π / Nslot [rad] (Nslot means the number of slots in the stator), a central position θr of the rear bridge is located within a first range expressed by using the central angle θs with respect to a rear reference position θsr of the rear flux barrier, and a central position θf of the front bridge is located within a second range expressed by using the central angle θs with respect to a front reference position θsf of the front flux barrier, and the first range and the second range may differ depending on a width Wf of the front bridge and a width Wr of the rear bridge.

[0011] <6> the above <5> In the rotating electric machine according to the above, when the width Wf of the front bridge is θs / 8 to 5θs / 24 and the width Wr of the rear bridge is 7θs / 24 to 3θs / 8, the first range may be -θs / 6 to -θs / 8 and the second range may be -θs / 24 to θs / 24, or the first range may be -θs / 8 to -θs / 12 and the second range may be -θs / 24 to θs / 12.

[0012] <7> the above <5> In the rotating electric machine according to the above, when the width Wf of the front bridge is θs / 8 to 5θs / 24 and the width Wr of the rear bridge is 3θs / 8 to 11θs / 24, the first range may be -θs / 8 to -θs / 24 and the second range may be -θs / 24 to θs / 12.

[0013] <8> the above <5> In the rotating electric machine according to the above, when the width Wf of the front bridge is 5θs / 24 to 7θs / 24 and the width Wr of the rear bridge is 7θs / 24 to 3θs / 8, the first range may be -θs / 6 to -θs / 8 and the second range may be -θs / 24 to θs / 12, the first range may be -θs / 8 to -θs / 12 and the second range may be 0 to 5θs / 24, or the first range may be -θs / 12 to -θs / 24 and the second range may be θs / 24 to 5θs / 24.

[0014] <9> the above <5> In the rotating electric machine according to the above, when the width Wf of the front bridge is 5θs / 24 to 7θs / 24 and the width Wr of the rear bridge is 3θs / 8 to 11θs / 24, the first range may be -θs / 6 to -θs / 8 and the second range may be -θs / 12 to 0, or the first range may be -θs / 8 to -θs / 12 and the second range may be -θs / 12 to θs / 24, or the first range may be -θs / 12 to -θs / 24 and the second range may be -θs / 24 to θs / 8.

[0015] <10> A method for designing a rotor core according to one aspect of the present invention includes: <1> from <3> The rotor core design method according to any one of the above aspects includes a step of designing the positions and shapes of the front flux barrier and the rear flux barrier based on the magnetic flux at the magnetic poles.

[0016] <11> the above <10> In the rotor core design method according to the above aspect, in the step, the positions and shapes of the front flux barrier and the rear flux barrier may be designed so that, at minimum torque, the rear flux barrier blocks the magnetic flux path in front of the tooth located closest to the rear flux barrier, and the front flux barrier does not obstruct the magnetic flux of the magnet heading from the rear of rotation to the tooth located closest to the front flux barrier, and, at maximum torque, the rear flux barrier blocks the magnetic flux path entering the tooth located closest to the rear flux barrier from the rear of rotation, and the front flux barrier does not block the magnetic flux path in front of the tooth located closest to the front flux barrier, thereby widening the magnetic flux path in front of the tooth. [Effects of the Invention]

[0017] According to the present invention, torque pulsation is reduced. [Brief explanation of the drawings]

[0018] [Figure 1] 1 is a plan view including a partial cross section showing a rotating electric machine according to an embodiment of the present invention; [Figure 2] 2 is an enlarged plan view of a stator and a rotor included in the rotating electric machine shown in FIG. [Figure 3] 2 is an enlarged plan view of a rotor included in the rotating electric machine shown in FIG. [Figure 4] FIG. 10 is a plan view illustrating the front reference position of the front flux barrier and the rear reference position of the rear flux barrier based on the reference shape of the rotor. [Figure 5] FIG. 4 is a plan view illustrating the center positions of a rear bridge and a front bridge provided on the rotor core. [Figure 6] FIG. 4 is a plan view illustrating a rear bridge width and a front bridge width of the rotor core. [Figure 7] FIG. 4 is a plan view illustrating a first reduction pattern of the rotor core. [Figure 8]FIG. 10 is a plan view illustrating a second reduction pattern of the rotor core. [Figure 9] FIG. 10 is a plan view illustrating a third reduction pattern of the rotor core. [Figure 10] FIG. 10 is a plan view illustrating a fourth reduction pattern of the rotor core. [Figure 11] FIG. 10 is a plan view illustrating a fifth reduction pattern of the rotor core. [Figure 12] FIG. 10 is a plan view illustrating a sixth reduction pattern of the rotor core. [Figure 13] FIG. 10 is a plan view illustrating a seventh reduction pattern of the rotor core. [Figure 14] FIG. 10 is a plan view illustrating an eighth reduction pattern of the rotor core. [Figure 15] FIG. 10 is a plan view illustrating a ninth reduction pattern of the rotor core. [Figure 16] 1 is a plan view showing a rotor capable of optimally reducing torque pulsation in a rotating electric machine according to an embodiment; [Figure 17] FIG. 10 is a plan view showing a rotor in which average torque is maximized in a rotating electric machine of a comparative example. [Figure 18] 4 is a graph showing the relationship between the electrical angle and the torque in the rotating electric machine of the embodiment and the rotating electric machine of the comparative example. [Figure 19] 10 is a plan view showing magnetic flux density vectors when the rotor is positioned at an electrical angle at which the torque waveform of a comparative rotating electric machine is minimized in the rotating electric machine of the embodiment; FIG. [Figure 20] FIG. 10 is a plan view showing magnetic flux density vectors when the rotor is positioned at an electrical angle at which the torque waveform is minimized in a rotating electric machine of a comparative example. [Figure 21] 10 is a plan view showing magnetic flux density vectors when the rotor is positioned at an electrical angle at which the torque waveform of a comparative rotating electric machine is maximized in the rotating electric machine of the embodiment; FIG. [Figure 22] FIG. 10 is a plan view showing magnetic flux density vectors when the rotor is positioned at an electrical angle at which the torque waveform becomes maximum in a rotating electric machine of a comparative example. DETAILED DESCRIPTION OF THE INVENTION

[0019] A rotor core, a rotor, a rotating electric machine, and a method for designing a rotor core according to one embodiment of the present invention will be described below with reference to Figures 1 to 22. The rotating electric machine is an electric motor, specifically an AC electric motor, more specifically a synchronous electric motor, and even more specifically a permanent magnet field electric motor. This type of electric motor is suitable for use in, for example, electric vehicles.

[0020] 1 and 2, the rotating electric machine 10 includes a stator 20, a rotor 30, a case 50, and a rotating shaft 60. The stator 20 and the rotor 30 are housed in the case 50. The stator 20 is fixed to the case 50. The rotating electric machine 10 is an inner rotor type in which the rotor 30 is located inside the stator 20.

[0021] In this embodiment, the rotating electrical machine 10 is a three-phase AC motor with 8 poles and 24 slots. However, the number of poles, slots, and phases, for example, can be changed as appropriate. In addition, in the rotating electric machine 10, the axes of the stator 20 and the rotor 30 are on a common axis. Hereinafter, this common axis will be referred to as the central axis O (the central axis of the rotor 30). The direction of the central axis O (the axial direction of the rotor core 31, which will be described later) will be referred to as the axial direction, the direction perpendicular to the central axis O (the radial direction of the rotor core 31, which will be described later) will be referred to as the radial direction, and the direction going around the central axis O (the circumferential direction of the rotor core 31, which will be described later) will be referred to as the circumferential direction.

[0022] The stator 20 includes a stator core 21 and a winding (not shown). The stator core 21 includes a cylindrical (cylindrical) core back 22 (yoke) and a plurality of teeth 23.

[0023] The core back 22 is formed in an annular (ring-shaped) shape in a plan view when the rotating electrical machine 10 is viewed in the axial direction. The teeth 23 protrude radially inward from the core back 22 (toward the central axis O of the core back 22 along the radial direction). The teeth 23 are arranged at equal intervals in the circumferential direction. In this embodiment, 24 teeth 23 are provided at central angle intervals of 15 degrees around the central axis O. The teeth 23 are formed to have the same shape and size as each other. A slot 24 is formed between adjacent teeth 23 in the circumferential direction. The windings are wound around the teeth 23. The windings may be concentrated windings or distributed windings.

[0024] 3, the rotor 30 is disposed radially inside the stator 20 (the stator core 21). The rotor 30 includes a rotor core 31 and a plurality of permanent magnets 32. The rotor core 31 is formed in a tubular (cylindrical) shape and is arranged coaxially with the stator 20. The rotating shaft 60 is arranged inside the rotor core 31. The rotating shaft 60 is fixed to the rotor core 31 so as to rotate together with the rotor core 31. The multiple permanent magnets 32 are fixed to the rotor core 31. The rotor core 31 is provided with multiple magnetic poles 33. In this embodiment, a pair of permanent magnets 32 constitutes one magnetic pole 33. The multiple pairs of permanent magnets 32 that constitute the multiple magnetic poles 33 are arranged at equal intervals in the circumferential direction. In this embodiment, eight pairs of permanent magnets 32 (16 in total) are provided at central angle intervals of 45 degrees around the central axis O.

[0025] The rotating electric machine 10 is an interior permanent magnet motor (IPMSM). The rotor core 31 is formed with a plurality of insertion holes 34 that penetrate the rotor core 31 in the axial direction. The plurality of insertion holes 34 are provided corresponding to a plurality of permanent magnets 32. Each permanent magnet 32 ​​is inserted into the corresponding insertion hole 34 and fixed to the rotor core 31. In other words, the insertion holes 34 form a space in which the permanent magnet 32 ​​can be installed. In the embodiment shown in FIG. 3 , the permanent magnet 32 ​​has a rectangular shape with a longitudinal direction, and the insertion holes 34 also have a shape that includes a rectangular portion with a similar longitudinal direction. Each permanent magnet 32 ​​can be fixed to the rotor core 31 by, for example, bonding the outer surface of the permanent magnet 32 ​​to the inner surface of the insertion hole 34 with an adhesive.

[0026] It is possible to use laminated cores as the stator core 21 and the rotor core 31. The laminated core is formed by laminating multiple electromagnetic steel sheets. The laminated electromagnetic steel sheets are fixed together by, for example, crimping, bonding, or welding. The electromagnetic steel sheets forming the stator core 21 and the rotor core 31 are formed, for example, by punching an electromagnetic steel sheet as a base material. Known electromagnetic steel sheets can be used as the electromagnetic steel sheets. The chemical composition of the electromagnetic steel sheets is not particularly limited. In this embodiment, non-oriented electromagnetic steel sheets are used as the electromagnetic steel sheets. For example, a non-oriented electromagnetic steel strip according to JIS C 2552:2014 can be used as the non-oriented electromagnetic steel sheets. However, instead of non-oriented electromagnetic steel sheets, grain-oriented electromagnetic steel sheets can also be used as the electromagnetic steel sheets. For example, a grain-oriented electromagnetic steel strip according to JIS C 2553:2012 can be used as the grain-oriented electromagnetic steel sheets.

[0027] In order to improve the workability of the magnetic steel sheets and the iron loss of the laminated core, an insulating coating is provided on both sides of the magnetic steel sheets. Examples of materials that can be used to form the insulating coating include (1) inorganic compounds, (2) organic resins, and (3) mixtures of inorganic compounds and organic resins. Examples of inorganic compounds include (1) composites of dichromate and boric acid, and (2) composites of phosphate and silica. Examples of organic resins include epoxy resins, acrylic resins, acrylic styrene resins, polyester resins, silicone resins, and fluorine-based resins.

[0028] The rotor 30 will be described in detail below. As shown in FIG. 3, as described above, the permanent magnets 32 are embedded in the rotor core 31 and form pairs of two to form one magnetic pole 33. The permanent magnets 32 are arranged in multiple pairs (eight pairs in the illustrated example) in the circumferential direction of the rotor core 31. The position, size, and shape of the permanent magnets 32 are the same for all magnetic poles 33. The shape of each magnetic pole 33 in a plan view is the same for all magnetic poles 33. In the illustrated example, the permanent magnets 32 are rectangular parallelepiped. The permanent magnets 32 are rectangular in a plan view.

[0029] In the plan view, the pair of permanent magnets 32 are arranged in a V-shape that protrudes radially inward. In the plan view, the pair of permanent magnets 32 are arranged line-symmetrically with respect to the d-axis Ld. In the plan view, the d-axis Ld passes through the central axis O and the circumferential center of each magnetic pole 33. Similarly, the insertion holes 34 in which the pair of permanent magnets 32 are arranged are arranged approximately line-symmetrically with respect to the d-axis Ld. Hereinafter, the d-axis Ld may be referred to as the "reference line Ld."

[0030] In the plan view, the insertion holes 34 are larger than the permanent magnets 32 on both the q-axis Lq side and the d-axis Ld side. The insertion holes 34 include a first insertion hole 34f and a second insertion hole 34r. The permanent magnets 32 arranged on the rotation front side of each magnetic pole 33, closer to the q-axis Lq (i.e., closer to the rotation front), are inserted into the first insertion holes 34f. The permanent magnets 32 arranged on the rotation rear side of each magnetic pole 33, closer to the q-axis Lq (i.e., closer to the rotation rear) are inserted into the second insertion holes 34r.

[0031] In the plan view, the q-axis Lq passes through the center axis O and between two circumferentially adjacent magnetic poles 33. In the plan view, the q-axis Lq passes through the circumferential center between the two magnetic poles 33. The q-axis Lq and the d-axis Ld are magnetically and electrically perpendicular to each other. Portions of the insertion hole 34 located on the q-axis Lq side and the d-axis Ld side of the permanent magnet 32 ​​respectively serve as flux barriers 35, 36. In other words, the flux barriers 35, 36 are provided at both ends of the permanent magnet 32 ​​on the q-axis Lq side and the d-axis Ld side. The flux barriers 35, 36 are magnetic gaps that penetrate the rotor core 31 in the axial direction. Because the flux barriers 35, 36 and the insertion hole 34 penetrate the rotor core 31 in the axial direction, manufacturing of the rotor core 31 is easy. It is preferable that the flux barriers 35, 36 and the insertion holes 34 penetrate the rotor core 31 over the entire axial length without being divided at all. The flux barriers 35, 36 reduce the magnetic flux from the permanent magnets 32 that circulates within the rotor 30 (hereinafter also referred to as circulating magnetic flux) and change the flow path of the magnetic flux from the permanent magnets 32 toward the stator 20. This allows the magnetic flux from the permanent magnets 32 (hereinafter simply referred to as magnetic flux) to be effectively transmitted to the stator 20, resulting in the output of high torque. It can also be said that the flux barriers 35, 36 guide the magnetic flux to the stator 20.

[0032] The rotor 30 includes, as flux barriers 35, 36, a first flux barrier (flux barrier) 35 and a second flux barrier 36. In addition, the rotor 30 includes a plurality of bridges 37. The first flux barrier 35 and the second flux barrier 36 sandwich the permanent magnet 32 ​​from both ends in the longitudinal direction. This makes it easier for the magnetic flux of the magnet to be effectively transmitted to the stator 20. The first flux barrier 35 is located on the q-axis Lq side of each permanent magnet 32. The first flux barriers 35 are located on both sides of the pair of permanent magnets 32 in the circumferential direction (direction of rotation). The second flux barrier 36 is located on the d-axis Ld side of each permanent magnet 32. The second flux barrier 36 is located in the center of the pair of permanent magnets 32 in the circumferential direction (direction of rotation).

[0033] A pair of first flux barriers 35 located on the q-axis Lq side of each permanent magnet 32 ​​are arranged corresponding to the rotational front and rear of the magnetic poles 33. In this embodiment, an example will be described in which the first flux barriers 35 are arranged in front of and behind the rotation of all the magnetic poles 33, but the first flux barriers 35 may be arranged in front of and behind the rotation of at least one magnetic pole 33.

[0034] Hereinafter, the forward (rotational forward) direction of the rotation direction (circumferential direction) of the rotating electric machine 10 will be simply referred to as the forward direction F, and the rearward direction of the rotation direction will be simply referred to as the rearward direction R. In the case of a rotating electric machine 10 that can rotate in both directions around the central axis O, the rotation direction refers to the direction in which the rotating electric machine 10 mainly rotates. In the illustrated example, the counterclockwise direction when viewed on the paper surface will be referred to as the forward direction F, and the clockwise direction will be referred to as the rearward direction R.

[0035] The first flux barrier 35 includes a front flux barrier 35f and a rear flux barrier 35r. The front flux barrier 35f is provided in front F of the magnetic pole 33. The front flux barrier 35f is provided on the outside in the radial direction of the rotor core 31 and in front F of the first insertion hole 34f. The front flux barrier 35f is connected to the first insertion hole 34f.

[0036] The front flux barrier 35f has an outer peripheral side surface 35fo located radially outward. The outer peripheral side surface 35fo is located radially inward relative to the outer peripheral surface 31a of the rotor core 31. The outer peripheral side surface 35fo is formed along the outer peripheral surface 31a. The outer peripheral side surface 35fo being along the outer peripheral surface 31a includes not only the case where the outer peripheral side surface 35fo is completely parallel to the outer peripheral surface 31a, but also the case where the outer peripheral side surface 35fo is substantially parallel to the outer peripheral surface 31a. The case where the outer peripheral side surface 35fo is substantially parallel to the outer peripheral surface 31a also includes the case where the outer peripheral surface 31a is arc-shaped and the outer peripheral side surface 35fo is linear and approximately parallel to the outer peripheral surface 31a. The fact that the outer peripheral side surface 35fo is substantially parallel to the outer peripheral surface 31a means that the radial length of the bridges 37 (described later) is substantially constant over the entire circumferential length of the bridges 37. The radial length of the bridges 37 is defined as the minimum distance between each point on the outer peripheral side surface 35fo and the outer peripheral surface 31a. If the outer peripheral edge of the front flux barrier 35f does not have a portion that is parallel or approximately parallel to the outer peripheral surface 31a of the rotor core 31, the effect of the present invention cannot be obtained.

[0037] The rear flux barrier 35r is provided on the rear R of the magnetic pole 33. The rear flux barrier 35r is provided on the outer side in the radial direction of the rotor core 31 and on the rear R of the second insertion hole 34r. The rear flux barrier 35r is connected to the second insertion hole 34r.

[0038] The rear flux barrier 35r has an outer peripheral side surface 35ro located radially outward. The outer peripheral side surface 35ro is located radially inward relative to the outer peripheral surface 31a of the rotor core 31. The outer peripheral side surface 35ro is formed along the outer peripheral surface 31a. The outer peripheral side surface 35ro being along the outer peripheral surface 31a includes not only the case where the outer peripheral side surface 35ro is completely parallel to the outer peripheral surface 31a, but also the case where the outer peripheral side surface 35ro is substantially parallel to the outer peripheral surface 31a. The case where the outer peripheral side surface 35ro is substantially parallel to the outer peripheral surface 31a also includes the case where the outer peripheral surface 31a is arc-shaped and the outer peripheral side surface 35ro is linear and approximately parallel to the outer peripheral surface 31a. The fact that the outer peripheral side surface 35ro is substantially parallel to the outer peripheral surface 31a means that the radial length of the bridges 37 (described later) is substantially constant over the entire circumferential length of the bridges 37. The radial length of the bridges 37 is defined as the minimum distance between each point on the outer peripheral side surface 35ro and the outer peripheral surface 31a. If the outer peripheral edge of the rear flux barrier 35r does not have a portion that is parallel or approximately parallel to the outer peripheral surface 31a of the rotor core 31, the effect of the present invention cannot be obtained.

[0039] The rotor 30 also has multiple bridges 37. The bridges 37 include a front bridge 37f and a rear bridge 37r. The front bridge 37f is provided between the outer peripheral surface 31a of the rotor core 31 and the outer peripheral side surface 35fo of the front flux barrier 35f. The inner peripheral side surface 37fa of the front bridge 37f is completely parallel or substantially parallel to the outer peripheral surface 31a of the rotor core 31. The rear bridge 37r is provided between the outer peripheral surface 31a of the rotor core 31 and the outer peripheral side surface 35ro of the rear flux barrier 35r. The inner peripheral side surface 37ra of the rear bridge 37r is completely parallel or substantially parallel to the outer peripheral surface 31a of the rotor core 31. A flux barrier is a nonmagnetic region provided within the rotor core and functions to block magnetic flux. A bridge is a portion that connects magnetic material regions separated by nonmagnetic regions. It mechanically supports the magnetic material regions and blocks the passage of magnetic flux when the bridge becomes magnetically saturated. To fulfill this function, the bridge is narrower than the surrounding magnetic region, and the maximum magnetic flux density in the bridge exceeds the saturation magnetic flux density. The maximum magnetic flux density in the bridge can be confirmed by electromagnetic field analysis. The position and size of the bridge 37 change depending on the position and size of the flux barrier 35. For example, the width Wf of the front bridge 37f is expressed by the central angle formed by the front bridge. The width Wr of the rear bridge 37r is expressed by the central angle formed by the rear bridge. The circumferential center position θf of the front bridge 37f (hereinafter also referred to as the center position θf of the front bridge 37f) is expressed by the angle formed around the central axis O between the circumferential center of the outer peripheral side surface 35fo of the front flux barrier 35f and the front reference position θsf (see FIG. 5). The circumferential center position θr of the rear bridge 37r (hereinafter also referred to as the center position θr of the rear bridge 37r) is expressed by the angle formed around the central axis O between the circumferential center of the outer peripheral side surface 35ro of the rear flux barrier 35r and the rear reference position θrr (see FIG. 5).

[0040] The center position θf of the front bridge 37f and the center position θr of the rear bridge 37r are disposed at positions asymmetrical with respect to a reference line Ld (d-axis) that passes through the circumferential center of the magnetic pole 33 and extends in the radial direction of the rotor core 31. Specifically, the center position θr of the rear bridge 37r is disposed at a position farther away from the reference line Ld in the circumferential direction than the center position θf of the front bridge 37f. The relative position of the center position θr of the rear bridge 37r with respect to the rear reference position θsr of the rear flux barrier 35r is located rotationally rearward of the relative position of the center position θf of the front bridge 37f with respect to the front reference position θsf of the front flux barrier 35f. The relative position of the center position θr of the rear bridge 37r with respect to the rear reference position θsr of the rear flux barrier 35r is determined by the distance between the rear reference position θsr of the rear flux barrier 35r and the center position θr of the rear bridge 37r. When the position away from the rear reference position θsr to the front F is positive (+) and the position away from the rear R is negative (-), Angle around central axis O corresponds to The relative position of the center position θf of the front bridge 37f with respect to the front reference position θsf of the front flux barrier 35f is determined by the angle θ formed between the front reference position θsf of the front flux barrier 35f and the center position θf of the front bridge 37f. When the position away from the front F is positive (+) and the position away from the rear R is negative (-) based on the forward reference position θsf, Angle around central axis O corresponds to . Furthermore, the width Wf of the front bridge 37f is different from the width Wr of the rear bridge 37r. Specifically, the width Wr of the rear bridge 37r (the central angle formed by the outer peripheral side surface 35ro of the rear flux barrier 35r) is larger than the width Wf of the front bridge 37f (the central angle formed by the outer peripheral side surface 35fo of the front flux barrier 35f) (Wr>Wf).

[0041] The multiple bridges 37 can prevent magnetic flux from passing through the bridges 37 by magnetic saturation. Note that the bridges 37 only need to prevent magnetic flux from passing through the bridges 37 by magnetic saturation when the rotor 30 rotates at a predetermined rotational speed or higher, and the magnetic flux may pass through the bridges 37 when the rotor 30 rotates at a speed lower than the predetermined rotational speed. The circumferential length and radial width (radial length) of the bridges 37 are appropriately designed depending on the rotational speed and shape of the rotating electric machine 10.

[0042] The shapes and positions of the front flux barrier 35f, rear flux barrier 35r, front bridge 37f, and rear bridge 37r that reduce torque pulsation of the rotating electric machine (IPMSM) 10 will be described in detail below.

[0043] (Flux barrier reference position) First, the front reference position θsf of the front flux barrier 35f and the rear reference position θsr of the rear flux barrier 35r will be described based on the reference shape of the rotor 30 shown in Fig. 4. The front reference position θsf and the rear reference position θsr are positions that are used as references when determining the shapes and positions of the front flux barrier 35f and the rear flux barrier 35r. The reference shape of the rotor 30 shown in Figure 4 is obtained by optimizing the position and width of the front flux barrier 35f and rear flux barrier 35r on the outer periphery of the magnet through parameter search (analysis method described in Patent Publication No. 2021-114099) assuming circumferential symmetry at each magnetic pole 33.

[0044] 4, the front reference position θsf of the front flux barrier 35f is a position at the front F of the permanent magnet 32 ​​inserted into the first insertion hole 34f, where a straight line Lf connecting the central axis O and the radially inner corner 32a (the corner located most forward F in the circumferential direction) of the permanent magnet 32 ​​and the outer peripheral surface 31a of the rotor core 31 intersects with the outer peripheral surface 31a of the rotor core 31. In addition, the rear reference position θsr of the rear flux barrier 35r is a position at the rear R of the permanent magnet 32 ​​inserted into the second insertion hole 34r, where a straight line Lr connecting the central axis O and the radially inner corner 32b (the corner located most rearward R in the circumferential direction) of the permanent magnet 32 ​​and the outer peripheral surface 31a of the rotor core 31 intersects with the outer peripheral surface 31a of the rotor core 31. The front reference position θsf and the rear reference position θsr are arranged line-symmetrically with respect to the reference line Ld in a plan view. However, the front reference position θsf and the rear reference position θsr do not have to be arranged line-symmetrically as described above.

[0045] (Center position of the bridge) Next, the center position θf of the front bridge 37f and the center position θr of the rear bridge 37r will be described with reference to Figure 5. The center position θf of the front bridge 37f and the center position θr of the rear bridge 37r are angles around the central axis O based on the front reference position θsf and the rear reference position θsr. As described above, the center position θf of the front bridge 37f is the circumferential center of the front bridge 37f. The center position θr of the rear bridge 37r is the circumferential center of the rear bridge 37r.

[0046] FIG. 5 is a diagram illustrating the center position θr of the rear bridge 37r and the center position θf of the front bridge 37f. As shown in Fig. 5, the center position θr of the rear bridge 37r indicates a position spaced in the circumferential direction from the rear reference position θsr of the rear flux barrier 35r. A position spaced forward F from the rear reference position θsr is indicated by a positive (+) sign, and a position spaced backward R from the rear reference position θsr is indicated by a negative (-) sign. The center position θr of the rear bridge 37r is located within a first range expressed using a central angle θs with respect to the rear reference position θsr of the rear flux barrier 35r.

[0047] Here, the central angle θs is expressed by the following formula. θs=2π / Nslot [rad] (Nslot means the number of slots of the stator 20.)

[0048] Furthermore, the center position θf of the front bridge 37f indicates a position spaced circumferentially from the front reference position θsf of the front flux barrier 35f. A position spaced forward F from the front reference position θsf is indicated by a positive (+) sign, and a position spaced backward R from the front reference position θsf is indicated by a negative (-) sign. The center position θf of the front bridge 37f is located within a second range expressed using the central angle θs with respect to the front reference position θsf of the front flux barrier 35f.

[0049] Next, the shapes of the front bridge 37f and the rear bridge 37r will be described with reference to FIG. 6 is a diagram illustrating the width Wr of the rear bridge 37r and the width Wf of the front bridge 37f. Hereinafter, the width Wr of the rear bridge 37r may be referred to as the "rear bridge width Wr." The width Wf of the front bridge 37f may be referred to as the "front bridge width Wf." As shown in Fig. 6, the rear bridge width Wr is expressed as the angle formed around the central axis O between the front F-side end and the rear R-side end of the rear bridge 37r. At this time, both the front F-side end and the rear R-side end of the rear bridge 37r are located on the outer peripheral side surface 35ro of the rear flux barrier 35r. The width Wr of the rear bridge 37r is expressed using the central angle θs, as will be described later. The front bridge width Wf is expressed as the angle about the central axis O formed between the front F-side end and the rear R-side end of the front bridge 37f. At this time, both the front F-side end and the rear R-side end of the front bridge 37f are located on the outer peripheral side surface 35fo of the front flux barrier 35f. The width Wf of the front bridge 37f is expressed using the central angle θs, as will be described later.

[0050] As described above, the range in which the center position θr of the rear bridge 37r is located (hereinafter referred to as the first range) and the range in which the center position θf of the front bridge 37f is located (hereinafter referred to as the second range) differ depending on the front bridge width Wf and the rear bridge width Wr. Suitable combination patterns of the rear bridge width Wr, front bridge width Wf, first range, and second range of the rotor core 31 include first to ninth reduction patterns that reduce torque pulsation of the rotating electric machine (IPMSM) 10.

[0051] The first to ninth reduction patterns of the rotor core 31 for reducing the torque pulsation of the rotary electric machine 10 will be described with reference to FIGS. First, the first reduction pattern will be described with reference to Fig. 7. Fig. 7 shows the first reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 7, in the first reduction pattern, when the front bridge width Wf is θs / 8 to 5θs / 24 and the rear bridge width Wr is 7θs / 24 to 3θs / 8, the first range in which the center position θr of the rear bridge 37r is located is -θs / 6 to -θs / 8, and the second range in which the center position θf of the front bridge 37f is located is -θs / 24 to θs / 24.

[0052] According to the first reduction pattern, the rear bridge width Wr is larger than the front bridge width Wf, and therefore the circumferential width of the rear flux barrier 35r is larger than the circumferential width of the front flux barrier 35f. Furthermore, the maximum value of the first range, −θs / 8, is smaller than the minimum value of the second range, −θs / 24. That is, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is disposed rotationally rearward in the circumferential direction from the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0053] Next, the second reduction pattern will be described with reference to Fig. 8. Fig. 8 shows the second reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 8, when the front bridge width Wf is θs / 8 to 5θs / 24 and the rear bridge width Wr is 7θs / 24 to 3θs / 8, the center position θr of the rear bridge 37r is located in a first range of -θs / 8 to -θs / 12, and the center position θf of the front bridge 37f is located in a second range of -θs / 24 to θs / 12.

[0054] According to the second reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0055] Next, the third reduction pattern will be described with reference to Fig. 9. Fig. 9 shows the third reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 9, when the front bridge width Wf is θs / 8 to 5θs / 24 and the rear bridge width Wr is 3θs / 8 to 11θs / 24, the center position θr of the rear bridge 37r is located in a first range of -θs / 8 to -θs / 24, and the center position θf of the front bridge 37f is located in a second range of -θs / 24 to θs / 12.

[0056] According to the third reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0057] Next, the fourth reduction pattern will be described with reference to Fig. 10. Fig. 10 shows the fourth reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 10, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 7θs / 24 to 3θs / 8, the center position θr of the rear bridge 37r is located in a first range of -θs / 6 to -θs / 8, and the center position θf of the front bridge 37f is located in a second range of -θs / 24 to θs / 12.

[0058] According to the fourth reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0059] Next, the fifth reduction pattern will be described with reference to Fig. 11. Fig. 11 shows the fifth reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 11, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 7θs / 24 to 3θs / 8, the center position θr of the rear bridge 37r is located in a first range of -θs / 8 to -θs / 12, and the center position θf of the front bridge 37f is located in a second range of 0 to 5θs / 24.

[0060] According to the fifth reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0061] Next, the sixth reduction pattern will be described with reference to Fig. 12. Fig. 12 shows the sixth reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 12, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 7θs / 24 to 3θs / 8, the center position θr of the rear bridge 37r is located in a first range of -θs / 12 to -θs / 24, and the center position θf of the front bridge 37f is located in a second range of θs / 24 to 5θs / 24.

[0062] According to the sixth reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0063] Next, the seventh reduction pattern will be described with reference to Fig. 13. Fig. 13 shows the seventh reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 13, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 3θs / 8 to 11θs / 24, the center position θr of the rear bridge 37r is located in a first range of -θs / 6 to -θs / 8, and the center position θf of the front bridge 37f is located in a second range of -θs / 12 to 0.

[0064] According to the seventh reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0065] Next, the eighth reduction pattern will be described with reference to Fig. 14. Fig. 14 shows the eighth reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 14, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 3θs / 8 to 11θs / 24, the center position θr of the rear bridge 37r is located in a first range of -θs / 8 to -θs / 12, and the center position θf of the front bridge 37f is located in a second range of -θs / 12 to θs / 24.

[0066] According to the eighth reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0067] Next, the ninth reduction pattern will be described with reference to Fig. 15. Fig. 15 shows the ninth reduction pattern for reducing the torque pulsation of the rotary electric machine 10. 15, when the front bridge width Wf is 5θs / 24 to 7θs / 24 and the rear bridge width Wr is 3θs / 8 to 11θs / 24, the center position θr of the rear bridge 37r is located in a first range of -θs / 12 to -θs / 24, and the center position θf of the front bridge 37f is located in a second range of -θs / 24 to θs / 8.

[0068] According to the ninth reduction pattern, similarly to the first reduction pattern, the circumferential width of the rear flux barrier 35r is greater than the circumferential width of the front flux barrier 35f. Also, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is located circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0069] 7 to 15, the circumferential width of the rear flux barrier 35r is made larger than the circumferential width of the front flux barrier 35f in order to reduce torque pulsation of the rotary electric machine 10. Furthermore, the relative position of the rear flux barrier 35r with respect to the rear reference position θsr is disposed circumferentially rearward of the relative position of the front flux barrier 35f with respect to the front reference position θsf.

[0070] Here, the first to ninth reduction patterns shown in Fig. 7 to Fig. 15 are obtained by optimizing the positions and widths of the front flux barrier 35f and the rear flux barrier 35r provided on the rotor 30 having the reference shape shown in Fig. 4. That is, the first to ninth reduction patterns are shapes that have superior evaluation values ​​among the target shapes shown in Table 1, with torque pulsation [%] / average torque [Nm] used as an evaluation value. Here, torque pulsation is the ratio of the half-width of the maximum and minimum torque values ​​to the average torque. Furthermore, the average torque is a value obtained by averaging torque over time. Table 1 shows the change in the evaluation value relative to the reference shape, i.e., the value of "the evaluation value (torque pulsation [%] / average torque [Nm]) in a certain shape - the evaluation value (torque pulsation [%] / average torque [Nm]) in the reference shape." In Table 1, superior values ​​are indicated as "good" and inferior values ​​are indicated as "fail." A "good" value is indicated when the change in evaluation value relative to the reference shape is "-" (minus), i.e., torque pulsation has decreased compared to the reference shape. An evaluation value indicated as "fail" is indicated when the change in evaluation value relative to the reference shape is "+" (plus), i.e., torque pulsation has increased compared to the reference shape. If it is determined that the change in evaluation value relative to the reference shape will be a positive value based on the values ​​of the surrounding examples in Table 1, the evaluation value is not calculated and the result is indicated as "fail." In these cases, the change in evaluation value relative to the reference shape is not listed. Note that outside the range shown in Table 1, all evaluation values ​​were inferior to the reference shape.

[0071] [Table 1]

[0072] In Table 1, [〇1], [〇2], [〇3], and [〇4] indicate the following ranges for the front bridge width Wf and rear bridge width Wr. Note that character strings with a number after a circle, such as [〇1], indicate that the number is written inside the circle in Table 1. [〇1]: Front bridge width Wf is θs / 8~5θs / 24, rear bridge width Wr is 7θs / 24~3θs / 8 [〇2]: Front bridge width Wf is θs / 8~5θs / 24, rear bridge width Wr is 3θs / 8~11θs / 24 [〇3]: Front bridge width Wf is 5θs / 24~7θs / 24, rear bridge width Wr is 7θs / 24~3θs / 8 [〇4]: Front bridge width Wf is 5θs / 24~7θs / 24, rear bridge width Wr is 3θs / 8~11θs / 24

[0073] Next, an example of comparison of torque pulsation between the rotating electrical machine 10 of the embodiment and the rotating electrical machine 100 of the comparative example will be described with reference to FIGS. 16 to 18. FIG. FIG. 16 shows a rotor 30 capable of optimally reducing torque pulsation in a rotating electric machine 10 of the embodiment. FIG. 17 shows a rotor 101 that maximizes average torque in a rotating electric machine 100 of the comparative example. FIG. 18 is a graph showing the relationship between electrical angle and torque (torque waveform) for the rotating electric machine 10 of the embodiment and a rotating electric machine 110 of the comparative example. In FIG. 18, the vertical axis represents torque (Nm) and the horizontal axis represents electrical angle (°). The shapes of these rotors 30, 112 were determined based on the analysis method described in JP 2021-114099 A.

[0074] 18, graph G1 shows the torque waveform of the rotating electric machine 10 of the embodiment. Graph G2 shows the torque waveform of the rotating electric machine 100 of the comparative example. By comparing the torque waveform of graph G1 with the torque waveform of graph G2, it can be seen that the torque pulsation of graph G1 is much smaller than the torque pulsation of graph G2. This confirms that the torque pulsation of the rotating electric machine 10 of the embodiment is much smaller than the torque pulsation of the rotating electric machine 100 of the comparative example.

[0075] Next, magnetic flux density vectors in the rotating electric machine 10 of the embodiment shown in FIG. 16 and the rotating electric machine 100 of the comparative example shown in FIG. 17 will be described with reference to FIGS. 19 to 22. FIG. 19 and 20, a description will be given of the magnetic flux density vectors that are generated when the rotor 30 of the embodiment and the rotor 101 of the comparative example are positioned at the electrical angle θ1 at which the torque waveform of the rotating electric machine 100 of the comparative example shown in graph G2 of FIG. 18 is minimized. Below, attention will be focused on two circumferentially adjacent magnetic poles 33. Teeth 23 are arranged between these two magnetic poles 33. Below, a description will be given of the flow of magnetic flux that is generated in the two magnetic poles 33 with respect to the teeth 23.

[0076] FIG. 19 is a diagram showing magnetic flux density vectors when the rotor 30 is positioned at an electrical angle θ1 in the rotary electric machine 10 of the embodiment. As shown in FIG. 19 , in the rotating electric machine 10 of the embodiment, the rear flux barrier 35r of the magnetic pole 33 located on the front F (hereinafter also referred to as the front magnetic pole 33f) of the two magnetic poles 33 described above blocks the magnetic flux path from the permanent magnet 32 ​​included in that front magnetic pole 33f to the front surface 23a of the tooth 23. Furthermore, the front flux barrier 35f of the magnetic pole 33 located on the rear R (hereinafter also referred to as the rear magnetic pole 33r) of the two magnetic poles 33 described above does not block the magnetic flux from the permanent magnet 32 ​​included in the rear magnetic pole 33r toward the tooth 23. Therefore, the torque at the front F tends to increase when the torque is minimal, and torques T1 and T2 at the front F can be appropriately secured. As a result, the rotating electric machine 10 of the embodiment can suppress a decrease in torque at electrical angle θ1, as shown in graph G1 of FIG. 18 .

[0077] FIG. 20 is a diagram showing magnetic flux density vectors when the rotor 101 is positioned at an electrical angle θ1 in the rotating electric machine 100 of the comparative example. As shown in FIG. 20 , in the rotating electric machine 100 of the comparative example, the front flux barrier 103f of the front magnetic pole 33r of the two magnetic poles 33 described above blocks the magnetic flux path that enters the teeth 23 from the permanent magnet 32 ​​included in the rear magnetic pole 33r. Therefore, the torque T3 acting on the teeth 23 from the rear R is significantly reduced. Furthermore, the rear flux barrier 103r of the front magnetic pole 33f of the two magnetic poles 33 described above is located forward F compared to the rotating electric machine 10 of the embodiment. This widens the magnetic flux path that enters the front faces 23a of the teeth 23 from the rotor 101, making it easier for the magnetic flux to enter the front faces 23a of the teeth 23 in the radial direction (substantially parallel to the radial direction). Therefore, the radial component of the torque T4 generated by this magnetic flux increases, and the component toward the forward F decreases. Therefore, in the rotating electric machine 100 of the comparative example, the torque at the electrical angle θ1 becomes a minimum value, as shown in graph G2 of FIG. 18 .

[0078] 21 and 22, a description will be given of the magnetic flux density vectors that are generated when the rotor 30 of the embodiment and the rotor 101 of the comparative example are positioned at the electrical angle θ2 at which the torque waveform of the rotating electric machine 100 of the comparative example shown in graph G2 of FIG. 18 becomes maximum. Below, attention will be focused on two circumferentially adjacent magnetic poles 33. Of these two magnetic poles 33, teeth 23 are arranged on the rear R side of the front F magnetic pole 33 and on the front F side of the rear R magnetic pole 33, respectively. Below, a description will be given of the flow of magnetic flux generated in the two magnetic poles 33 described above with respect to these two teeth 23.

[0079] FIG. 21 is a diagram showing magnetic flux density vectors when the rotor 30 is positioned at an electrical angle θ2 in the rotary electric machine 10 of the embodiment. As shown in FIG. 21 , in the rotating electric machine 10 of the embodiment, the rear flux barrier 35r at the front magnetic pole 33f of the two magnetic poles 33 blocks the magnetic flux path that attempts to enter from the rear R to the tooth 23 located on the front F of the two teeth 23 (hereinafter also referred to as the front tooth 23f). Therefore, the torque T5 from the rear R acting on the front tooth 23f is significantly reduced. Furthermore, the front flux barrier 35f at the rear magnetic pole 33r of the two magnetic poles 33 does not block the magnetic flux path that enters from the rotor 30 to the front surface 23a of the tooth 23 located on the rear R of the two teeth 23 (hereinafter also referred to as the rear tooth 23r). Therefore, the magnetic flux path on the front surface 23a of the rear tooth 23r can be widened. By widening the magnetic flux path, magnetic flux enters radially (substantially parallel to the radial direction) from the front surface 23a of the rear tooth 23r. The radial component of the torque T6 generated by this magnetic flux increases, and the component directed forward F decreases. As a result, the torque in the forward direction F can be suppressed to a small value when the torque is at its maximum, and the torque in the forward direction of rotation can be suppressed. In this way, by ensuring an appropriate amount of torque at the front of the rotation when the torque is minimal and suppressing the torque at the front of the rotation when the torque is maximized, it is possible to reduce torque pulsation in the IPMSM.

[0080] FIG. 22 is a diagram showing magnetic flux density vectors when the rotor 101 is positioned at an electrical angle θ2 in the rotating electric machine 100 of the comparative example. As shown in FIG. 22 , in the rotating electric machine 100 of the comparative example, the rear flux barrier 103r in the front magnetic pole 33f of the two magnetic poles 33 does not block the magnetic flux path that enters from the permanent magnet 32 ​​included in the front magnetic pole 33f to the front tooth 23f of the two teeth 23. Therefore, the torque T7 in the front F increases. Furthermore, the front flux barrier 103f in the rear magnetic pole 33r of the two magnetic poles 33 does not block the magnetic flux path that enters from the permanent magnet 32 ​​included in the rear magnetic pole 33r to the rear tooth 23r of the two teeth 23. Therefore, the torque T8 in the front F increases. Therefore, in the rotating electric machine 100 of the comparative example, the torque at the electrical angle θ2 reaches a maximum value, as shown in graph G2 in FIG. 18 .

[0081] In this way, in the rotating electric machine 100 of the comparative example, the torque becomes a minimum value at the electrical angle θ1 and a maximum value at the electrical angle θ2, as shown in graph G2 in Fig. 18. As a result, in the rotating electric machine 100 of the comparative example, the difference between the maximum torque and the minimum torque becomes large, and torque pulsation becomes large.

[0082] 16 to 22 have been described with reference to a state in which the rotor core 31 of the embodiment is not provided with bridges 37, and a state in which the rotor core 102 of the comparative example is not provided with bridges. However, the same effect can be obtained even when the rotor core 31 and the rotor core 102 are modified to have bridges to make them feasible. This makes it possible to utilize the rotor core 31 provided with bridges 37.

[0083] According to the rotor core 31, the rotor 30, the rotating electrical machine 10, and the design method for the rotor core 31 of the embodiment described above, the following effects can be obtained. Here, the inventors of the present application have found that by designing the positions and shapes of the front flux barrier 35f and the rear flux barrier 35r based on the magnetic flux in the magnetic pole 33, it is possible to reduce torque pulsation in the IPMSM.

[0084] Therefore, the design method for the rotor core 31 includes a step of designing the positions and shapes of the front flux barrier 35f and the rear flux barrier 35r. Specifically, in the steps of the design method for the rotor core 31, as shown in Fig. 19, when torque is at minimum, the rear flux barrier 35r blocks the magnetic flux path of the front surface 23a of the tooth 23 located closest to the rear flux barrier 35r (the front surface 23a of the tooth 23 located between the two magnetic poles 33 mentioned above). Furthermore, the front flux barrier 35f does not block the magnetic flux of the magnet directed from the rear R to the tooth 23 located closest to the front flux barrier 35f. Furthermore, as shown in FIG. 21, when the torque is at its maximum, the rear flux barrier 35r blocks the magnetic flux path entering from the rear R to the tooth 23 (front tooth 23f) located closest to the rear flux barrier 35r, and the front flux barrier 35f widens the magnetic flux path on the front surface 23a of the tooth 23 located closest to the front flux barrier 35f (front surface 23a of the rear tooth 23r).

[0085] In the process of designing the rotor core 31, the center position θf of the front bridge 37f and the center position θr of the rear bridge 37r are arranged at positions that are asymmetric with respect to a reference line Ld that passes through the circumferential center of the magnetic pole 33 and extends in the radial direction of the rotor core 31. In addition, the width Wf of the front bridge 37f and the width Wr of the rear bridge 37r are made different. Specifically, the relative position of the center position θr of the rear bridge 37r with respect to the rear reference position θsr is located rotationally rearward of the relative position of the center position θf of the front bridge 37f with respect to the front reference position θsf. Furthermore, the width Wr of the rear bridge 37r is made larger than the width Wf of the front bridge 37f.

[0086] Therefore, when the torque is at a minimum, the rear flux barrier 35r can block the magnetic flux path on the front surface 23a of the tooth 23. Furthermore, the front flux barrier 35f can prevent the magnetic flux from flowing from the rear surface R toward the tooth 23. As a result, when the torque is at a minimum, the torque at the front of the rotation tends to increase, and the torque at the front of the rotation can be appropriately secured.

[0087] On the other hand, when the torque is at its maximum, the rear flux barrier 35r can block the magnetic flux path entering the teeth 23 from the rear R. Furthermore, the front flux barrier 35f does not block the magnetic flux path on the front faces 23a of the teeth 23, so the magnetic flux path on the front faces 23a of the teeth 23 can be widened. By widening the magnetic flux path on the front faces 23a of the teeth 23, the torque on the front F can be suppressed. This makes it possible to suppress the torque on the front F when the torque is at its maximum. In this way, by appropriately ensuring the torque of the front F when the torque is minimal and suppressing the torque of the front F when the torque is maximal, it is possible to reduce torque pulsation of the IPMSM.

[0088] 7 to 15, the circumferential width of the rear flux barrier 35r is made larger than the circumferential width of the front flux barrier 35f. Also, the relative position of the center position θr of the rear bridge 37r with respect to the rear reference position θsr is located rotationally rearward of the relative position of the center position θf of the front bridge 37f with respect to the front reference position θsf.

[0089] Therefore, when the torque is at a minimum, the rear flux barrier 35r can block the magnetic flux path on the front surface 23a of the tooth 23. Furthermore, the front flux barrier 35f can prevent the magnetic flux from flowing from the rear surface R toward the tooth 23. As a result, when the torque is at a minimum, the torque at the front of the rotation tends to increase, and the torque at the front of the rotation can be appropriately secured.

[0090] On the other hand, when the torque is at its maximum, the rear flux barrier 35r can block the magnetic flux path entering the teeth 23 from the rear R. Furthermore, the front flux barrier 35f does not block the magnetic flux path on the front faces 23a of the teeth 23, so the magnetic flux path on the front faces 23a of the teeth 23 can be widened. By widening the magnetic flux path on the front faces 23a of the teeth 23, the torque on the front F can be suppressed. This makes it possible to suppress the torque on the front F when the torque is at its maximum. In this way, by appropriately ensuring the torque of the front F when the torque is minimal and suppressing the torque of the front F when the torque is maximal, it is possible to reduce torque pulsation of the IPMSM.

[0091] The technical scope of the present invention is not limited to the above-described embodiment, and various modifications can be made without departing from the spirit of the present invention.

[0092] The shape of the stator 20 is not limited to the form shown in the above embodiment. Specifically, the outer and inner diameters of the stator core 21, the lamination thickness, the number of slots, the circumferential and radial dimensional ratio of the teeth 23, and the radial dimensional ratio of the teeth 23 to the core back 22, etc., can be designed as desired according to the characteristics of the rotating electric machine 10.

[0093] The shape of the rotor 30 is not limited to the form shown in the above embodiment. Specifically, the outer diameter and inner diameter dimensions, lamination thickness, number of poles, etc. of the rotor core 31 can be designed as desired according to the characteristics of the rotating electric machine 10.

[0094] In the above embodiment, both the stator core 21 and the rotor core 31 are laminated cores, but they do not have to be laminated cores. The second flux barrier 36 may be omitted.

[0095] In the above embodiment, one magnetic pole 33 is composed of two permanent magnets 32. However, the present invention is not limited to this. For example, one magnetic pole 33 may be composed of one permanent magnet 32, three permanent magnets 32, or four or more permanent magnets 32. Other configurations including one or more permanent magnets 32 may be appropriately adopted as one set of permanent magnets 32. In this case, the insertion hole 34 into which one permanent magnet 32 ​​is inserted serves as both the first insertion hole 34f and the second insertion hole 34r. For example, when one set of permanent magnets 32 is a single permanent magnet 32, the single permanent magnet 32 ​​may have a rectangular shape elongated in a direction perpendicular to the d-axis Ld in the plan view. For example, when one set of permanent magnets 32 is a set of three permanent magnets 32, and the three permanent magnets 32 are lined up in the circumferential direction, the following arrangement may be used. In this case, the permanent magnet 32 ​​located in the center of the circumferential direction may have a rectangular shape elongated in a direction perpendicular to the d-axis Ld in the plan view. Furthermore, in this case, the two permanent magnets 32 located on both sides of the circumferential direction may extend radially outward from the d-axis Ld side toward the q-axis Lq side in the plan view. In this case, the insertion hole 34 into which the forward-most permanent magnet 32 ​​of the three or more permanent magnets 32 is inserted is the first insertion hole 34f, and the insertion hole 34 into which the rearmost permanent magnet 32 ​​is inserted is the second insertion hole 34r.

[0096] In addition, within the scope of the spirit of the present invention, the components in the above-described embodiments may be replaced with well-known components as appropriate, and the above-described modifications may be combined as appropriate. [Industrial Applicability]

[0097] According to the present invention, torque pulsation is reduced, and therefore the industrial applicability is great. [Explanation of symbols]

[0098] 10 Rotating Electric Machine 20 Stator 21 Stator core 22 Coreback 23 Teeth 23a front 23f forward teeth 23r rear teeth 24 slots 30 rotors 31 rotor core 31a Outer surface 32 Permanent magnets 32a Corner 32b Corner 33 magnetic pole 33f front magnetic pole 33r rear magnetic pole 34 Insertion hole 34f First insertion hole 34r Second insertion hole 35 First Flux Barrier (Flux Barrier) 35f Forward Flux Barrier 35fo outer peripheral side 35r Rear Flux Barrier 35ro outer side 36 Second Flux Barrier 37 Bridge 37f forward bridge 37r Rear Bridge 50 cases 60 Rotational Axis 100 Rotating Electric Machine 101 Rotor 102 rotor core 103f Forward Flux Barrier 103r Rear Flux Barrier 110 Rotating Electric Machine 112 rotor F forward Ld d axis (reference line) Lf Straight Line Lq q axis Lr straight line O center axis R rear Wf Front bridge width Wr Rear bridge width θf center position θr center position θs central angle θsf Forward reference position θsr rear reference position

Claims

1. A rotor core used in an interior permanent magnet motor, The rotor core has a plurality of sets of permanent magnets that form magnetic poles arranged in the circumferential direction of the rotor core, The rotor core is formed with a plurality of insertion holes that penetrate the rotor core in the axial direction of the rotor core and into which the permanent magnets are inserted, a flux barrier is formed in the rotor core, the flux barrier being provided in correspondence with at least one of the plurality of magnetic poles and penetrating the rotor core in the axial direction; the flux barriers include a front flux barrier and a rear flux barrier provided corresponding to each of the magnetic poles, an outer peripheral side surface of each of the front flux barrier and the rear flux barrier is located radially inward of the arc-shaped outer peripheral surface of the rotor core and is formed along the arc-shaped outer peripheral surface; The insertion holes include a first insertion hole into which the permanent magnet arranged closer to the rotation front of each of the magnetic poles is inserted, and a second insertion hole into which the permanent magnet arranged closer to the rotation rear of each of the magnetic poles is inserted, the front flux barrier is provided radially outward of the rotor core and rotationally forward of the first insertion hole, and is connected to the first insertion hole; the rear flux barrier is provided radially outward of the rotor core and rotationally rearward of the second insertion hole, and is connected to the second insertion hole; the rotor core has a front bridge provided between an outer circumferential surface of the rotor core and the front flux barrier, and a rear bridge provided between the outer circumferential surface of the rotor core and the rear flux barrier, a relative position of a center position θr of the rear bridge with respect to a rear reference position θsr of the rear flux barrier is located rotationally rearward of a relative position of a center position θf of the front bridge with respect to a front reference position θsf of the front flux barrier, A rotor core, wherein a width Wr of the rear bridge, which is a central angle formed by the outer peripheral side surface of the rear flux barrier, is larger than a width Wf of the front bridge, which is a central angle formed by the outer peripheral side surface of the front flux barrier.

2. The rotor core according to claim 1; A rotor comprising: permanent magnets embedded in the rotor core to form magnetic poles, the permanent magnets being arranged in multiple sets in the circumferential direction of the rotor core.

3. an annular stator; A rotating electric machine comprising: a rotor according to claim 2 disposed within the stator.

4. The central angle θs per slot of the stator is θs=2π / Nslot [rad] (Nslot means the number of slots of the stator.) When a central position θr of the rear bridge is located within a first range expressed by using the central angle θs with respect to a rear reference position θsr of the rear flux barrier, a central position θf of the front bridge is located within a second range expressed by using the central angle θs with respect to a front reference position θsf of the front flux barrier, The rotating electric machine according to claim 3 , wherein the first range and the second range differ depending on a width Wf of the front bridge and a width Wr of the rear bridge.

5. When the width Wf of the front bridge is θs / 8 to 5θs / 24 and the width Wr of the rear bridge is 7θs / 24 to 3θs / 8, the first range is −θs / 6 to −θs / 8, and the second range is −θs / 24 to θs / 24; Alternatively, the rotating electric machine according to claim 4, wherein the first range is from -θs / 8 to -θs / 12, and the second range is from -θs / 24 to θs / 12.

6. When the width Wf of the front bridge is θs / 8 to 5θs / 24 and the width Wr of the rear bridge is 3θs / 8 to 11θs / 24, 5. The rotating electric machine according to claim 4, wherein the first range is from −θs / 8 to −θs / 24, and the second range is from −θs / 24 to θs / 12.

7. When the width Wf of the front bridge is 5θs / 24 to 7θs / 24 and the width Wr of the rear bridge is 7θs / 24 to 3θs / 8, the first range is −θs / 6 to −θs / 8, and the second range is −θs / 24 to θs / 12; the first range is −θs / 8 to −θs / 12, and the second range is 0 to 5θs / 24; Alternatively, the rotating electric machine according to claim 4, wherein the first range is from -θs / 12 to -θs / 24, and the second range is from θs / 24 to 5θs / 24.

8. When the width Wf of the front bridge is 5θs / 24 to 7θs / 24 and the width Wr of the rear bridge is 3θs / 8 to 11θs / 24, the first range is −θs / 6 to −θs / 8, and the second range is −θs / 12 to 0; the first range is −θs / 8 to −θs / 12, and the second range is −θs / 12 to θs / 24; Alternatively, the rotating electric machine according to claim 4, wherein the first range is from -θs / 12 to -θs / 24, and the second range is from -θs / 24 to θs / 8.

9. 2. The rotor core design method according to claim 1, A rotor core design method comprising the step of designing the positions and shapes of the front flux barrier and the rear flux barrier based on the magnetic flux at the magnetic poles.

10. In the step, when torque is at a minimum, the rear flux barrier blocks a magnetic flux path in front of the tooth located closest to the rear flux barrier, and the front flux barrier does not obstruct magnetic flux of the magnet directed from behind the rotation to the tooth located closest to the front flux barrier, and designing positions and shapes of the front flux barrier and the rear flux barrier so that, at maximum torque, the rear flux barrier blocks a magnetic flux path entering the tooth located closest to the rear flux barrier from behind rotation, and the front flux barrier does not block the magnetic flux path in front of the tooth located closest to the front flux barrier, thereby widening the magnetic flux path in front of the tooth.

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