1. Field of the Invention
The present invention relates to a multi-phase claw-pole type rotary machine and, more particularly, relates to a two-phase or three-phase permanent magnet (PM) type stepping motor reduced in cogging torque.
2. Description of the Prior Art
In the conventional claw-pole type motor, the pitch of the claw poles of the stator is equal to the pitch of the magnetic poles of the rotor, so that the cogging torque becomes large.
A PM type stepping motor reduced in cogging torque by varying the pitch of the claw poles of the stator is disclosed in the Japanese Patent Application Laid-Open No. 136631/1998 and the Japanese Patent Application Laid-Open No. 161055/2001.
However, in such conventional stepping motor, the magnetic attraction force becomes unbalanced because the interval of the claw poles is varied so as to form a too narrow portion unreasonably or the position of the claw poles becomes asymmetric with respect to the shaft, so that a large vibration and noise are produced.
An object of the present invention is to provide a multi-phase claw-pole type rotary machine free from the above drawbacks.
A further object of the present invention is to provide a two-phase claw-pole type rotary machine comprising first and second rotary machine elements each for single phase arranged coaxially with each other, each of the rotary machine elements having a magnet rotor magnetized in a circumferential direction thereof so as to form N pole and S pole alternately, a claw-pole type stator arranged concentrically with the magnet rotor with an air gap therebetween, and an annular stator winding, wherein claw poles of the stator are divided into a plurality of blocks, or two or four blocks, for example, and circumferentially separated from one another, a distance between adjacent claw poles of the same polarity in each block is set to a value (β0−Δβ), substantially, where β0 is a reference pitch when the claw poles of the same polarity are arranged with equidistantly apart from one another in a range of 360°, Δβ is π/2q (electric angle), and q is a number of claw poles of the same polarity in each block, and wherein the first and second rotary machine elements are circumferentially shifted from each other by 90° (electric angle).
Still further object of the present invention is to provide a three-phase claw-pole type rotary machine comprising first, second and third rotary machine elements each for single phase arranged coaxially with one another, each of the rotary machine elements having a magnet rotor magnetized in a circumferential direction thereof so as to form N pole and S pole alternately, a claw-pole type stator arranged concentrically with the magnet rotor with an air gap therebetween, and an annular stator winding, wherein claw poles of each stator are divided into a plurality of blocks or two or four blocks, for example, and circumferentially separated from one another, a distance between adjacent claw poles of the same polarity in each block is set to a value of (β0−Δβ), substantially, where β0 is a reference pitch when the claw poles of the same polarity are arranged with equidistantly apart from one another in a range of 360°, Δβ is π/3q, and q is a number of claw poles of the same polarity in each block, and wherein the first, second and third rotary machine elements are circumferentially shifted from one another by 120° (electric angle).
These and other aspects and objects of the present invention will be better appreciated and understood when considered in conjunction with the following description and the accompanying drawings. It should be understood, however, that the following description, while indicating preferred embodiments of the present invention, is given by way of illustration and not of limitation. Many changes and modifications may be made within the scope of the present invention without departing from the spirit thereof, and the invention includes all such modifications.
As shown in
Further, it is assumed that the stator magnetic pole has no groove and flat, that the magnetic flux density Bg in an air gap is a periodic function having a period corresponding to the magnetic pole pair as shown in
(The Relation Between the Magnetic Energy and the Cogging Torque)
The magnetic energy density wm at a small portion in the air gap can be expressed by Formula 1.
Here, μ0 is a vacuum permeability. The form of the Bg2 (θ) is shown in
Here, 2p is a pole number, n is a degree of Fourier series and positive integer, and θ is an angle from the magnetic pole center. It is assumed further that the magnetic flux density is distributed similarly in the axial direction. The magnetic energy is stored mainly in the air gap, so that the total magnetic energy can be obtained by integrating the magnetic energy density wm shown in the Formula 1 through the entire air gap as expressed by Formula 3. It should be considered that only the magnetic flux under the stator magnetic pole shown in
Here, L is an effective thickness of iron core, and g is an air gap length.
The torque can be given by the differential coefficient with respect to the rotation angle γ of the magnetic energy density wm, and the differentiation of the first term of the right side of the Formula 3 becomes zero and has no relation to the torque. Accordingly, only the second term of the right side of the Formula 3 is studied.
It is considered that the total magnetic energy can be obtained by summing the magnetic energies under the magnetic poles with windings. Accordingly, the term of the degree n about one magnetic pole can be expressed by Formula 4.
On the other hand, the cogging torque is considered as the rate of change of the magnetic energy due to the magnet when the rotor is moved to an imaginary very small distance, so that the torque for one magnetic pole can be expressed by Formula 5.
A torque for one phase can be obtained by summing the torque for the magnetic poles of one phase. A torque for the N poles can be expressed by Formula 6.
A torque for the S poles can be expressed by Formula 7.
Here, βk is an angle of each magnetic pole, ε is a deviation (electric angle) of the magnetic pole of N pole side and the magnetic pole of S pole side from the normal change electric angle π. In order to simplify, if it is assumed that the common portion can be expressed by TmANn, TmANn and TmASn can be expressed by Formula 8.
TmANn=TmANn sin 2nγe TmASn=TmANn sin 2n(γe+π+ε) (8)
Here, γe is pγ (electric angle).
Further, it is considered that the torque of each phase is different in phase by 2π/m, where m is a number of phases and 4 in the two-phase motor. In the two-phase motor, the toque in B phase can be expressed by Formula 9.
TmBNn=TmANn sin 2n(γe+π/2) TmBSn=TmANn sin 2n(γe+3π/2+ε) (9)
The total torque can be obtained by summing a torque of the N pole side and a torque of S pole sides. Accordingly, the higher harmonic components of the two-phase motor cogging torque in each phase with respect to the low degrees n can be shown in a Table 1.
In the TABLE 1, the coefficient TmANn is omitted, because it is common to each phase in each degree n. As shown in the TABLE 1, in case that the degree n is 1 and 3, the torque in each phase is cancelled and a total torque becomes zero, if the positive phase (A, B) is deviated by 90° (π/2) from the negative phase (Ā,
However, in case that the degree n is 2, the torque in each phase is not cancelled and a cogging torque of the frequency 4 γe is generated.
Accordingly, it is necessary to cancel the coefficient TmANn itself in case that the degree n is 2, in order to reduce further the cogging torque. In case of the three-phase motor, the coefficient can be expressed by Formulas 10 to 12.
TmUNn=TmANn sin 2nγe TmUSn=TmANn sin 2n(γe+ε) (10)
TmVNn=TmANn sin 2n(γe+2π/3) TmVSn=TmANn sin 2n(γe+2π/3+ε) (11)
TmWNn=TmANn sin 2n(γe−2π/3) TmWSn=TmANn sin 2n(γe−2π/3−ε) (12)
The higher harmonic components of the three-phase motor cogging torque in each phase with respect to the low degrees n can be shown in a TABLE 2, as like as in the case of the two-phase motor.
As shown in TABLE 2, in case that the degree n is 1 and 2, a total torque of the U, V, W phase components and Ū,
(Reduction of the Cogging Torque by Adjusting the Pole Teeth Arrangement)
As stated above, it is necessary to set the coefficient of the torque components in the two-phase motor when n is 2 or in the three-phase motor when n is 3 to zero, in order to reduce the cogging torque, such coefficient being expressed by the Formula 6. In order to set the coefficient to zero, there are two ways. One way is that the term sin nαπ in the right side of the Formula 6 is set to zero. The other way is that the Σ portion in the right side of the Formula 6 is set to zero. In the former way, the spread range α of the magnetic pole must be reduced to α/n. That is, a should be set to 0.5 in the two-phase motor and 0.33 in the three-phase motor, so that the magnetic flux passing through the winding is undesirably reduced remarkably. Accordingly, it is studied the latter way wherein the coefficient at the Σ portion is set to zero. This means that the deviation angle βk of the claw pole in the S portion is adjusted. In this case, it must prevent the vibration and noise from being generated due to the unbalance of the large magnetic attraction force in the air gap of the motor. Accordingly, the distance of the claw poles must be adjusted while maintaining the symmetric property with respect to the axial center of the claw poles. If the distance of the claw poles is adjusted finery (vernier) to a small value, a large distant portion is formed inevitably. The magnetic attraction force at this portion becomes smaller than the magnetic attraction force of an opposite portion with respect to the center axis, so that the balance cannot be kept. This portion is subjected to the magnetic flux density varied according to the rotation of the rotor, so that the unbalanced relation of the magnetic attraction forces is varied and a vibration is generated. However, such vibration due to the unbalance of the magnetic attraction forces can be prevented from being generated, if the claw poles in each phase are divided into two or more groups and the magnetic attraction forces thereof are balanced to each other. In order to obtain a perfect balance, it is best to divide the claw poles into groups of a multiple number of two and to maintain the axial symmetric property. In case that the claw poles can not be divided into groups of a multiple number of two, the claw poles are divided into three or five groups, for example, so that the space vectors thereof are balanced and in each divided group, the total of the Formula 6 is set to zero. If the number of divided groups is d, it is enough to arrange the vectors of q or p/d uniformly in 2π (electric angle).
In this case, the deviation angle Δβ (electric angle) deviated from the reference angle β0 between adjacent angles βk can be expressed by Formula 13.
The reference angle β0 is an angle of the claw pole of one side in case that the fine adjustment (vernier) is not carried out, and expressed as 360°/p in mechanical angle or 2π in electric angle. Accordingly, in case that Δβ is zero, the torques of the magnetic poles are the same in phase and not cancelled. However, in case that the Δβ in the Formula 13 is adopted, the torques are arranged equidistantly, so that the total sum thereof becomes zero. The concrete method thereof is explained below.
In the present invention, m sets of claw-pole type rotary machine are arranged coaxially with one another, and circumferentially shifted from one another by 2π/m in electric angle, where m is 4 and π/2 in two-phase. In case of the two-phase rotary machine, the two rotary machines are circumferentially shifted from each other by π/2 in electric angle.
Each of the rotary machine comprises a magnet rotor magnetized in a circumferential direction thereof so as to form N pole and S pole alternately, a claw-pole type stator arranged concentrically with the magnet rotor with an air gap therebetween, and an annular stator winding surrounded by claw poles of the stator. The claw poles of the stator are divided into a plurality of blocks and circumferentially and uniformly separated from one another, and a pitch (interval) of the claw poles of the same polarity in each block is shifted from a reference pitch β0(360/p of mechanical angle) by a mechanical angle (1/p of electric angle) corresponding to an angle Δβ (electric angle), where Δβ is π/nq, n is a positive integer and 2 in case of a two-phase motor, or 3 in case of a three-phase motor, q is the number of the claw poles of the same polarity in each block and p/d, and p is the number of pole pairs or of claw poles at one side.
(In Case of Two-phase Motor)
In case of the two-phase motor, n is 2. In case that the number of pole pairs is 16, and the magnetic poles are divided into two blocks, q is 8 and Δβ is 180/(2×8)=11.25° (electric angle) or 0.7° (mechanical angle). An actual interval of the claw poles becomes 21.8° (22.5°−0.7°). The arrangement of the claw poles is shown in
(In Case of Three-phase Motor)
In case of the three-phase motor, n is 3. In case that the number of pole pairs is 16, and the magnetic poles are divided into two blocks, q is 8 and Δβ is 180/(3×8)=7.5° (electric angle) or 0.47° (mechanical angle). An actual interval of the claw poles becomes 22.03° (22.5°−0.47°). This arrangement of the claw poles is shown in
The deviation ε with respect to the N pole side and the S pole side of the claw poles of two-phase motor or three-phase motor is not π (electric angle), but is Δβ/2 correctly, but there is no problem as shown in the TABLE 1 and the TABLE 2. In either case, the magnetic flux passing through the winding is not so reduced, because the deviation from the reference angle not finely adjusted is not so large, so that the cogging torque can be reduced remarkably. The pole pair number p can be set an arbitrary number instead of 16. The above motor is of inner rotor type. However, the above explanation can be applied similarly to the motor of outer rotor type.
(Inspection by the Three-Dimensional Finite Element Method Magnetic Field Analysis)
An inspection was carried out for the motor having a typical structure as shown in
According to the multi-phase claw-pole type rotary machine of the present invention, no unbalance in the magnetic attraction force is generated because the axial symmetric property is maintained, so that the cogging torque is small and the large vibration and noise are not generated. The structure of the rotary machine is not special and is similar to the conventional motor, so that the manufacture thereof is easy and has no problems.
While the invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Number | Date | Country | Kind |
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2004/318836 | Nov 2004 | JP | national |
Number | Name | Date | Kind |
---|---|---|---|
6259176 | Isozaki et al. | Jul 2001 | B1 |
6479911 | Koike et al. | Nov 2002 | B1 |
Number | Date | Country |
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B1 10136631 | May 1998 | JP |
B2 2001161055 | Jun 2001 | JP |
Number | Date | Country | |
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20060091760 A1 | May 2006 | US |