The present disclosure contains subject matter related to that disclosed in Japanese Priority Patent Application No. 2013-052590 filed with the Japan Patent Office on Mar. 15, 2013, the entire contents of which are incorporated herein by reference.
1. Field of the Invention
An embodiment disclosed herein relates to a rotary electric machine, and more particularly to a rotary electric machine including permanent magnets.
2. Description of the Related Art
Conventionally, there is known a rotary electric machine including permanent magnets (see, e.g., Japanese Patent No. 4725684).
In the rotary electric machine disclosed in Japanese Patent No. 4725684, coils are distributed and wound on slots of a stator (coils per pole per phase are distributed and wound in a plurality of slots) such that the number q of slots per pole per phase, which is a value obtained by dividing the number of slots by the number of magnetic poles (number of poles) and the number of phases of a voltage, satisfies 1<q≦3/2. Thus, it is possible to reduce the distortion of the waveform of the induced voltage and suppress copper loss of the winding from increasing.
In accordance with one aspect of the present disclosure, there is provided a rotary electric machine including: a rotor core in which one or more permanent magnets are provided; and a stator core disposed radially opposite to the rotor core. A plurality of slots is provided in the stator core. Coils are disposed in the slots of the stator core. Further, the number q of slots per pole per phase, which is a value obtained by dividing the number Ns of the slots by the number P of poles of the permanent magnets and the number m of phases of a voltage induced in the coils, is a fraction having an odd denominator and an even numerator, and slot vectors which are electrical phases of the coils disposed in the slots are configured such that slot vector pitch angles between the slot vectors have unequal pitches.
Hereinafter, an embodiment of a rotary electric machine disclosed herein will be described in detail with reference to the accompanying drawings.
First, a configuration of a rotary electric machine 100 in accordance with the embodiment will be described with reference to
As shown in
The present inventors have studied and found that in the rotary electric machine, slot vector pitch angles between slot vectors which are electrical phases of coils disposed in a plurality of slots affect reduction of harmonics, and the high-order harmonics can be reduced by configuring slot vector pitch angles between slot vectors to become unequal.
Accordingly, in the present embodiment, a plurality of slots is configured such that the slot vector pitch angles between slot vectors have unequal pitches. Thus, unlike a case where the slot vector pitch angles between slot vectors have equal pitches, it is possible to reduce the high-order harmonics. Further, it has been confirmed, through simulation which will be described below, that it is possible to reduce the high-order harmonics by configuring a plurality of slots such that the slot vector pitch angles between slot vectors have unequal pitches.
Specifically, as shown in
More specifically, the slot 12 of slot number #1 is moved clockwise by the mechanical pitch angle θim (1.65° in this embodiment) as shown in
In other words, the mechanical slot pitch angle (26.7° =30° (mechanical slot pitch angle in the case of equal pitches)−1.65°−1.65°) between the slots 12 of slot numbers #1 and #2 is smaller than the mechanical slot pitch angle (33.3°=30° (mechanical slot pitch angle in the case of equal pitches)+1.65°+1.65°) between the slots 12 of slot numbers #2 and #3.
Similarly, the slots 12 of slot numbers #5, #7, #9 and #11 (odd-numbered slots) are moved clockwise by the mechanical pitch angle θim as shown in
Coils 14 are disposed (wound) in the slots 12. In the present embodiment, the number m of phases of the voltage induced in the coils 14 is three (U phase, V phase and W phase). Further, the coils 14 are wound in the slots 12 in a concentrated winding manner such that the number q of slots per pole per phase becomes a fraction satisfying ¼<q<½. Specifically, the coil 14 is wound on one of teeth 13 in a concentrated winding manner. For example, the U-phase coil 14 (coil 14a indicated by coarse hatching) are wound on the tooth 13 between slot number #1 and slot number #2. Similarly, the U-phase coils 14a are wound on the teeth 13 between slot number #6 and slot number #7, between slot number #7 and slot number #8, and between slot number #12 and slot number #1.
Further, the V-phase coils 14 (coils 14b shown without hatching) are wound in a concentrated winding manner on the teeth 13 between slot number #2 and slot number #3, between slot number #3 and slot number #4, between slot number #8 and slot number #9, and between slot number #9 and slot number #10.
Further, the W-phase coils 14 (coils 14c indicated by fine hatching) are wound in a concentrated winding manner on the teeth 13 between slot number #4 and slot number #5, between slot number #5 and slot number #6, between slot number #10 and slot number #11, and between slot number #11 and slot number #12.
Further, a plurality of (ten in this embodiment) permanent magnets 22 are provided in an outer periphery of the rotor core 21 of the rotor 2. That is, in this embodiment, the number P of poles is ten.
In this embodiment, the number q of slots per pole per phase, which is a value obtained by dividing the number Ns of the slots 12 by the number P of poles of the permanent magnets 22 and the number m of phases of the voltage, is configured to be a fraction having an odd denominator and an even numerator. Specifically, as described above, the number q (Ns/(m×P)) of slots per pole per phase is configured to be ⅖(12/(3×10)). Further, if the number m of phases of the voltage is 3, the numerator (the number Ns of slots) of the number q of slots per pole per phase is necessarily a multiple of 3, which makes it difficult to realize balanced winding. Thus, it is preferable that the denominator of the number q of slots per pole per phase is an odd number which is not a multiple of 3.
Further, in this embodiment, as shown in
The permanent magnet 22 has a tapered shape in which the width gradually decreases toward the outer periphery of the rotor 2 when viewed from the axial direction of the rotor. The radius of curvature of the inner periphery of the permanent magnet 22 is substantially equal to the radius of curvature of the outer periphery of the rotor core 21. Further, the radius of curvature of the outer periphery of the permanent magnet 22 is substantially equal to the radius of curvature of the inner periphery of the stator core 11. Thus, the distribution profile of the magnetic flux of the permanent magnet 22 has a substantially rectangular shape (square wave).
On the other hand, if the radius of curvature of the outer periphery (arcuate shape) of a permanent magnet 204 is smaller than the radius of curvature of the inner periphery of the stator core 11 as in a rotary electric machine 200 in accordance with a comparative example shown in
Further, in case of the permanent magnet 204 having an arcuate shape, since the volume of the permanent magnet 204 decreases, the torque of the rotary electric machine 200 decreases correspondingly. On the other hand, in the permanent magnet 22 of the present embodiment (see
As shown in
In the present embodiment, the twelve slots 12 are configured such that the mechanical slot pitch angles between the slots 12 are unequal (see
Specifically, the respective slot vectors #1 to #12 are moved clockwise or counterclockwise by a predetermined pitch angle θie (8.25° in this embodiment) while the slot vector pitches are kept in point symmetry from the state in which slot vector pitch angles between the slot vectors are equal (see
Specifically, first, as shown in
More specifically, each of the slot vectors included in one phase zone (for example, slot vectors #1 and #6 included in the U phase zone) is moved clockwise (slot vector #1) or counterclockwise (slot vector #6) by the predetermined pitch angle θie in the direction toward the central axis C of the group of slot vectors included in one phase zone from the state in which slot vector pitch angles are equal to each other (see
Thus, the slot vector pitch angle (13.5°=30° (slot vector pitch angle in the case of equal pitches)−8.25°−8.25°) between the slot vectors #1 and #6, between the slot vectors #11 and #4, between the slot vectors #9 and #2, between the slot vectors #7 and #12, between the slot vectors #5 and #10 and between the slot vectors #3 and #8 is smaller than the slot vector pitch angle (46.5°=30° (slot vector pitch angle in the case of equal pitches)+8.25°+) 8.25° between the slot vectors #6 and #11, between the slot vectors #4 and #9, between the slot vectors #2 and #7, between the slot vectors #12 and #5, between the slot vectors #10 and #3 and between the slot vectors #8 and #1.
Next, the simulation results on a relationship between the harmonic components (electromotive force coefficient Kφ) and the outer peripheral width W of the permanent magnet 22 will be described with reference to
As shown in
Further, in the case of the fifth harmonic, the electromotive force coefficient Kφ increases gradually as the ratio W/p increases, and the electromotive force coefficient Kφ becomes substantially zero if the ratio W/p is 0.8 (⅘). Furthermore, in the case of the seventh harmonic, the electromotive force coefficient Kφ increases gradually as the ratio W/p increases, and the electromotive force coefficient Kφ becomes substantially zero if the ratio W/p is about 0.86 ( 6/7).
That is, it has been found that it is preferable that in the case of mainly reducing the fifth harmonic component, the outer peripheral width W of the permanent magnet 22 is set to a value close to ⅘ in the range from ⅘ to 6/7 of the pitch p between the adjacent permanent magnets 22. Further, it has been found that in the case of mainly reducing the seventh harmonic component, the outer peripheral width W of the permanent magnet 22 is set to a value close to 6/7 in the range from ⅘ to 6/7 of the pitch p between the adjacent permanent magnets 22. Furthermore, it has been found that the fifth and the seventh harmonic can be reduced uniformly if the outer peripheral width W of the permanent magnet 22 is set to an intermediate value (for example, W= 29/35) in the range from ⅘ to 6/7=of the pitch p between the adjacent permanent magnets 22.
As described above, the ninth harmonic is offset when the respective phase coils are Y (star) connected in the case of three-phase AC voltage. Further, in the case of the eleventh harmonic, the electromotive force coefficient KT decreases gradually as the ratio W/p increases to about 0.8, and then the electromotive force coefficient KT increases gradually as the ratio W/p increases from about 0.8.
Furthermore, in the case of the thirteenth harmonic, the electromotive force coefficient KT increases gradually as the ratio W/p increases to about 0.75, and then the electromotive force coefficient KT decreases gradually as the ratio W/p increases from about 0.75. And the electromotive force coefficient KT becomes substantially zero when the ratio W/p is 0.8. After that, the electromotive force coefficient KT decreases gradually as the ratio W/p increases to about 0.85, and then the electromotive force coefficient Kφ increases gradually as the ratio W/p increases from about 0.85.
Next, the predetermined pitch angle θie, which is obtained after the present inventors have conducted extensive studies, will be described in detail.
As shown in
The counter electromotive force coefficients Ke of the seventh harmonics of the rotary electric machine 200 and the rotary electric machine 100 are −0.007 and −0.004 respectively, and the counter electromotive force coefficient Ke of the rotary electric machine 100 (unequal pitches) of the present embodiment is reduced by about 40% compared to that of the rotary electric machine 200. Further, the counter electromotive force coefficient Ke of the ninth harmonic is not zero, but the counter electromotive force coefficient Ke of the ninth harmonic is offset by connecting the coils of three phases in the Y (star) connection as described above.
The counter electromotive force coefficients Ke of the eleventh harmonics of the rotary electric machine 200 and the rotary electric machine 100 are −0.103 and 0.001 respectively, and the counter electromotive force coefficient Ke of the rotary electric machine 100 (unequal pitches) of the present embodiment is reduced by about 99% compared to that of the rotary electric machine 200. Further, the counter electromotive force coefficients Ke of the thirteenth harmonics of the rotary electric machine 200 and the rotary electric machine 100 are −0.054 and 0.016 respectively, and the counter electromotive force coefficient Ke of the rotary electric machine 100 (unequal pitches) of the present embodiment is reduced by about 70% compared to that of the rotary electric machine 100. That is, it has been found that the counter electromotive force coefficients Ke of the seventh, the eleventh and the thirteenth harmonic are reduced by setting the mechanical slot pitch angles (slot vector pitch angles) to be unequal.
In the present embodiment, as described above, the slot vectors are configured such that the slot vector pitch angles between the slot vectors have unequal pitches rather than equal pitches. Accordingly, it is possible to reduce the harmonics of the higher order unlike the case where the slot vector pitch angles between the slot vectors have equal pitches.
Further, the number q of slots per pole per phase is set to a fraction having an odd denominator and an even numerator. Accordingly, since the numerator of the number q of slots per pole per phase is an even number, the number of slot vectors becomes an even number. As a result, unlike the case where the number of slot vectors is an odd number, the slot vectors may be arranged in point symmetry even if the slot vector pitch angles arranged at equal pitches are changed to have unequal pitches.
Further, in the present embodiment, each of the slot vectors is moved clockwise or counterclockwise by the predetermined pitch angle θie while the slot vectors are kept in point symmetry from the state in which slot vector pitch angles between the slot vectors have equal pitches, as described above, so that the slot vector pitch angles between the slot vectors are configured to have unequal pitches. Accordingly, since the slot vectors are arranged in point symmetry unlike the case in which the slot vectors are not arranged in point symmetry, it is possible to rotate the rotary electric machine 100 (rotor 2) in a balanced manner even when the slot vector pitch angles are changed to have unequal pitches.
As described above, in the present embodiment, the number m of phases of the induced voltage is three (U phase, V phase and W phase), Ns slots 12 are distributed to six phase zones of the U phase zone, the U* phase zone in which a current flows in a direction opposite to that of the U phase zone, the V phase zone, the V* phase zone in which a current flows in a direction opposite to that of the V phase zone, the W phase zone and the W* phase zone in which a current flows in a direction opposite to that of the W phase zone. Further, each of the slot vectors included in each of the phase zones is moved clockwise or counterclockwise by the predetermined pitch angle θie with respect to the central axis C of the group of slot vectors included in the corresponding phase zone from the state in which slot vector pitch angles have equal pitches, the slot vector pitch angles between the slot vectors are configured to have unequal pitches.
Thus, since the slot vector pitch angles in the respective phase zones have unequal pitches while the slot vectors are kept in point symmetry, unlike the case where the slot vector pitch angles of only part of three phases have unequal pitches, it is possible to rotate the rotary electric machine 100 (rotor 2) in a balanced manner.
Further, in the present embodiment, each of the slot vectors included in each of the phase zones is moved clockwise or counterclockwise by the predetermined pitch angle θie in the direction toward the central axis C of the group of slot vectors included in the corresponding phase zone from the state in which slot vector pitch angles have equal pitches, slot vector pitch angles between the slot vectors are configured to have unequal pitches. Thus, since the slot vectors included in the respective phase zones are moved in the same way, the slot vectors may be easily arranged in point symmetry.
As described above, in the present embodiment, each of the slots 12 is moved clockwise or counterclockwise by the predetermined mechanical pitch angle θim while the slots 12 are kept in point symmetry, from the state in which the mechanical slot pitch angles between the slots 12 have equal pitches, the slot vector pitch angles are configured to have unequal pitches. Thus, since the pitches between the coils 14 disposed in the slots 12 become unequal, the slot vector pitch angles can be easily changed to have unequal pitches.
Furthermore, in the present embodiment, as described above, the coils 14 are wound in the slots 12 in a concentrated winding manner such that the number q of slots per pole per phase becomes a fraction satisfying ¼<q<½. In the rotary electric machine 100 in which the coils are wound in the slots 12 in a concentrated winding manner, cogging due to harmonics is likely to occur. In the present embodiment, since the slot vector pitch angles have unequal pitches, it is possible to readily reduce the cogging due to harmonics.
As described above, in the present embodiment, the outer peripheral width W of the permanent magnet 22 is configured to have a value which is ⅘ of the pitch p between the adjacent permanent magnets 22. Thus, it is possible to reliably reduce the harmonic component of the fifth order.
Further, in the present embodiment, as described above, the rotary electric machine 100 is configured such that the number q of slots per pole per phase is ⅖. Thus, in the rotary electric machine 100 in which the coils 14 are wound in the slots 12 in a concentrated winding manner, it is possible to easily reduce the harmonics.
As described above, in the present embodiment, the number m of phases of the induced voltage is three, the number Ns of the slots 12 is twelve, and the number P of poles is ten. Thus, the number q (⅖) of slots per pole per phase can be easily set to a fraction having an odd denominator and an even numerator.
Further, it should be considered that the embodiment disclosed herein is illustrative and not restrictive in all respects. The disclosed description of the embodiment is merely exemplary, is indicated by the appended claims, and further includes all changes that fall within a range and meaning equivalent to the scope of the claims.
For example, in the above embodiment, an example of the rotary electric machine in which the coils 14 are wound in the slots 12 in a concentrated winding manner and the number q of slots per pole per phase is ⅖ has been illustrated, but the number q of slots per pole per phase may be 2/7, 4/11, 6/13, 8/17, 10/21, . . . .
Alternatively, the coils 14 may be wound in the slots 12 in a distributed winding manner and the number q of slots per pole per phase may be ⅘, 6/5, 8/5, 12/5, 14/5. (denominator is 5), 4/7, 6/7, 8/7, 10/7 . . . (denominator is 7), 6/11, 8/11, 10/11, 12/11 . . . (denominator is 11), 8/13, 10/13, 12/13, 14/13 . . . (denominator is 13), 10/17, 12/17, 14/17, 16/17, 18/17, 20/17 . . . (denominator is 17), 12/21 . . . (denominator is 21).
Further, in the above embodiment, an example in which each of slot vectors is moved clockwise or counterclockwise by a predetermined pitch angle of 8.25° from the state where slot vector pitch angles have equal pitches has been illustrated. However, the predetermined pitch angle is not limited to 8.25° as long as it is possible to reduce harmonic components. Preferably, the predetermined pitch angle θie by which the slot vector is moved is less than ½of the slot vector pitch angle when the slot vector pitch angles have equal pitches.
Furthermore, in the above embodiment, the slot vector pitch angles are configured to have unequal pitches by moving each of slots clockwise or counterclockwise by the mechanical pitch angle θim from the state where mechanical slot pitch angles between the slots have equal pitches. However, the present disclosure is not limited thereto. For example, the slot vector pitch angles may be configured to have unequal pitches by providing a skew or the like.
Further, although the number of phases of the induced voltage is three in the above embodiment, the number of phases of the induced voltage may be less or more than three.
Furthermore, in the present embodiment, the outer peripheral width of the permanent magnet is ⅘ of the pitch p between the adjacent permanent magnets, but the outer peripheral width of the permanent magnet may be set in the range from ⅘ to 6/7 of the pitch p between the adjacent permanent magnets.
It should be understood by those skilled in the art that various modifications, combinations, sub-combinations and alterations may occur depending on design requirements and other factors insofar as they are within the scope of the appended claims or the equivalents thereof.
Number | Date | Country | Kind |
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2013-052590 | Mar 2013 | JP | national |