The invention relates to a method for producing the rotor winding of an electric machine as generically defined by the preamble to claim 1 and to an electric machine having a rotor winding produced by this method as generically defined by the preamble to claim 16.
From German Patent DE 197 57 279 C1, it is known, in a four-pole electric motor, to use a commutator rotor with 12 commutator laminations and 12 coils connected to them, in order to attain low torque waviness and good commutation. The laminations that are diametrically opposed to one another are connected to one another via contact bridges, in order to make the current supply to the rotor symmetrical and to assure it with only one pair of brushes. In such machines, the rotor current is not distributed to two coil lanes, but instead, because of the contact bridges, to four coil lanes, with the disadvantage that per coil lane, only half as many coils are connected in series. Thus the commutator voltage at the coils is increased accordingly. This causes greater wear of the carbon brushes on the commutator and thus a correspondingly limited service life or durability of the motor. The coils of the rotor are furthermore wound over three pole teeth each, so that their winding heads intersect at the face ends of the rotor. This causes greater cantilevering of the winding heads and leads to long winding head connections of the coils, which are expensive in terms of material and also cause high heat losses.
From U.S. Pat. No. 4,532,449, a four-pole electric machine with a commutator rotor is also known, in which the number of rotor coils is only half as great as the number of commutator laminations. In it, five coils are supplied from one brush pair via 10 laminations. The coils are continuously wound as single-tooth windings, with a skip each time of one pole tooth from one coil to the next. The beginning and end of the coils are each contacted with laminations between which one lamination remains unoccupied. For supplying current to the coils via contact bridges, these unoccupied laminations are connected to the laminations diametrically opposite them, and these diametrically opposite laminations are connected to the coils. This embodiment has the disadvantage that because of an increased lamination voltage, with five coils instead of twelve, an increased brush fire occurs, which impairs the service life of the commutator and hence also the durability of the machine.
With the present embodiment, the object is, in electric machines with single-tooth coils and high numbers of poles, to improve the commutation and thus the service life of the machine.
The method for producing the rotor winding of an electric machine having the definitive characteristics of claim 1 has the advantage that the single-tooth coils, wound onto the pole teeth in a uniformly distributed manner, with a view to the pole pitch of the stator, occupy a position with the least possible electrical angle error. As a result, the commutation losses as well as radially acting force excitations at the rotor can be minimized, and hence the machine durability can be increased. Furthermore, by the use of single-tooth coils, cantilevered, long winding head connections are avoided. Because of the equal, even number of coils and commutator laminations, the coils are distributed uniformly over only two branches.
By the provisions recited in the dependent claims, advantageous embodiments and refinements of the characteristics recited in the main claim are obtained.
For instance, simple and economical production of the rotor winding is obtained by providing that a plurality of single-tooth coils, preferably all of them, are continuously wound in succession, and that the beginning and end of the single-tooth coils, as a kind of wave winding, are contacted in one and the same winding direction with the lamination increment width at the respective commutator laminations, and the end lamination of the previous coil in each case forms the beginning lamination for the next single-tooth coil to be wound. Advantageously, the lamination increment width Y of the single-tooth coils S is predetermined, as a function of the number of laminations l and the number of pole pairs p of the stator 11, such that the equation |Y−l/p|≦0.5 is satisfied. Furthermore, in a simple way, the end of the first single-tooth coil is contacted with the lamination that was ascertained beforehand in accordance with the equation Le1=(La1+Y) modular l, and this lamination forms the lamination La2 for the beginning of the next single-tooth coil to be wound; and that after that, each further coil is contacted, at the lamination increment width, with the laminations of the commutator.
In order to find the optimal position for the single-tooth coils, in each case with a view to the pole pitch of the stator, it is proposed in a refinement of the invention that for each next coil to be wound, first for each of the pole teeth at the rotor the electrical angle error, referred to a pole pitch, is ascertained with respect to the predetermined angular offset; that then the absolute values of the ascertained angle errors are compared with one another; and that by means of this comparison, the pole tooth having the least electrical angle error is ascertained, and the next coil is wound onto that pole tooth. To that end, in a refinement of the invention, it is proposed that for each pole tooth, the electrical angle error Wf is ascertained, preferably as a cosine value of the angle error, repeating periodically to the number of pole pairs, in each case in accordance with the following equation:
Wf(j)=cos 2π*p/z*(j−Lai/M),
in which the multiplier M=s/z is the number of coils per pole tooth, s is the total number of coils, z is the number of pole teeth, and j is the particular pole tooth. For ascertaining the least angle error relative to the predetermined angular offset, is simpler, when electronic computers are used, if each of the cosine values of the electrical angle error are ascertained and compared with one another; the next single-tooth coil is then wound onto the pole tooth having the greatest absolute cosine value as an angle error. Moreover, at the same time the winding direction of the coils can be determined by the sign of the angle error cosine value. Since because there are so many pole teeth, angle errors of equal magnitude can be ascertained for a plurality of pole teeth, it is proposed, to attain short connections between the laminations and the coils, that the single-tooth coils each be wound onto the pole tooth which is located in the region between the beginning lamination and the end lamination of the coils. To attain a uniform distribution of the single-tooth coils on all the pole teeth, it is furthermore provided that each single-tooth coil is wound onto the next pole tooth that does not yet have the predetermined number of coils. In order to avoid relatively long connections between the laminations and the coils on the commutator side of the rotor 13, it is proposed that the winding wire be passed between the beginning lamination and end lamination and a coil between two more closely located pole teeth to the back side of the armature, and from there, in particular between two further pole teeth, back to the front side and then to the coil or to the lamination.
To attain the method steps listed, it is provided that the beginning and end laminations and the pole tooth and the winding direction of the coils are ascertained by a computer in the form of a winding table; that the winding table is then input into an automatic winder and processed by it in winding the coils.
In an expedient application of the invention, it is proposed that for a six-pole electric machine, 20 single-tooth coils are continuously wound onto its rotor by an automatic winder onto 10 pole teeth; and that the single-tooth coils, at a lamination increment width of 7 laminations, are contacted with 20 laminations of a commutator.
For a four-pole electric machine, 15 single-tooth coils are continuously wound onto its rotor by an automatic winder onto 5 pole teeth; and that the single-tooth coils, at a lamination increment width of 8 laminations, are contacted with 15 laminations of a commutator.
For an eight-pole electric machine, 27 single-tooth coils are continuously wound onto its rotor by an automatic winder onto 9 pole teeth; and that the single-tooth coils, at a lamination increment width of 7 laminations, are contacted with 27 laminations of a commutator.
For a ten-pole electric machine, 24 single-tooth coils are continuously wound onto its rotor by an automatic winder onto 12 pole teeth; and that the single-tooth coils, at a lamination increment width of 5 laminations, are contacted with 24 laminations of a commutator.
The invention is described below in examples in conjunction with the drawings. Shown are:
In
To enable winding the single-tooth coil S continuously onto the pole teeth Z in the manner of a wave winding, a lamination increment width Y for all the coils S is defined that assures that the end of each coil is contacted with an unoccupied lamination L. In
p=number of pole pairs
z=number of teeth
l=number of laminations
s=number of coils
M=multiplier=l/z=s/z
Y=lamination increment
Wf=angle error (deviation from the optimal location of the coils S)
Wz=number of windings of the coils S
i=the respective coil 1, 2, 3 . . . , s
j=the respective pole tooth 1, 2, 3 . . . , z
To set up a winding scheme, the following further conditions must also be met:
p>1
p≦z<4p
z≠2p, and z≠3p M>1
M≠integral multiple of p
M≠integral divisor of p
l=s=M*z
|Y−l/p|≦0.5
All the coils are contacted with a respective beginning lamination La and end lamination Le. By the free definition of the first beginning lamination La1, the beginning and end laminations for the all coils i result in accordance with the equation:
Lai=La1+[(i−1)×Y] mod l(mod=modular)
and Lei=(Lai+Y)mod l. (1)
The modular range of values for the laminations 1 is between 1 and 20, in this example that has 20 laminations.
For each further coil S of the stator 11, in a first pass for each pole tooth Z, the angle error Wf is then ascertained for optimal location with respect to torque formation and brush fire minimization, specifically beginning at the first coil S1 having the angle error of 0°. For the coil 2 shown in dashed lines in
Wf(j)=cos [2π*p/z*(j−Lai/M)] (2)
In a further pass, the ascertained angle errors Wf of the coil i at the teeth j are then compared with one another, in order to ascertain the pole tooth Z or pole teeth Z that have the greatest cosine value of the angle errors Wf. This is done by the following equation:
|Wf(j)|=Wfmax;Wfmax=max(|Wf(1)|,Wf(2)|,Wf(3)|, . . . ) (3)
in which Wfmax is the greatest previously ascertained comparison value for the coil i.
The sign of the angle errors Wf obtained by equation (2) indicated whether the optimal location of the coil relates to a north pole or a south pole of the stator. It is defined that—beginning at the first coil S1—if the cosine value is positive, the coils S are wound in the same direction, clockwise. The result for each coil i with a view to the pole tooth Z ascertained for it is that at a negative cosine value of the angle error Wf(j), the winding direction of the coil is changed; that is, the coil must be wound counterclockwise onto the selected tooth Z, counter to the winding direction of the first coil.
For the direct current motor 10 of
For the first exemplary embodiment, the following numbers apply:
With these values, the conditions listed above are met. With the two equations (1), the beginning lamination Lai and end lamination Lei are now defined for each coil Li.
Coil contacting at the commutator:
Ascertaining angle error:
For every coil S, for all the pole teeth Z, the respective angle error Wf is ascertained in accordance with equation (2).
Angle error of coil 1:
Wf(j)=cos [2π×p/z×(j−Lai/M)]
Tooth 1: Wf(1)=cos [2π×3/10×(1−2/2)]=1.0
Tooth 2: Wf(2)=cos [2π×3/10×(2−2/2)]=−0.309
Tooth 3: Wf(3)=cos [2π×3/10×(3−2/2)]=−0.809
Tooth 4: Wf(4)=cos [2π×3/10×(4−2/2)]=−0.809
Tooth 5: Wf(5)=cos [2π×3/10×(5−2/2)]=−0.309
Tooth 6: Wf(6)=cos [2π×3/10×(6−2/2)]=−1.0
Tooth 7: Wf(7)=cos [2π×3/10×(7−2/2)]=−0.309
Tooth 8: Wf(8)=cos [2π×3/10×(8−2/2)]=−0.809
Tooth 9: Wf(9)=cos [2π×3/10×(9−2/2)]=−0.809
Tooth 10: Wf(10)=cos [2π×3/10×(10−2/2)]=−0.309
In the next pass, for coil 1, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=1.0
Comparison of angle error
|Wf(1)|=Wfmax: 1.0=1.0: Condition met
|Wf(2)|=Wfmax: 0.309≠1.0: Condition not met
|Wf(3)|=Wfmax: 0.809≠1.0: Condition not met
|Wf(4)|=Wfmax: 0.309≠1.0: Condition not met
|Wf(5)|=Wfmax: 0.809≠1.0: Condition not met
|Wf(6)|=Wfmax: 1.0=1.0: Condition met
|Wf(7)|=Wfmax: 0.309−1.0: Condition not met
|Wf(8)|=Wfmax: 0.809≠1.0: Condition not met
|Wf(9)|=Wfmax: 0.809≠1.0: Condition not met
|Wf(10)|=Wfmax: 0.309≠1.0: Condition not met
Since here a plurality of pole teeth (Z1 and Z6) have the same least absolute angle error, from these pole teeth the pole tooth Z that is located in the region between the beginning lamination La and the end lamination Le of the coil S is selected. It is also checked whether, for the selected tooth Z, the predetermined number M of coils S has already been selected.
Outcome of the comparison:
The coil 1 can be wound onto tooth 1. The ascertained value is positive, and hence the coil 1 is wound clockwise. This defines the first line of the winding table in
The same calculations are now made in accordance with equation (2) for coil 2, with the beginning lamination La2=9.
Angle error of coil 2:
Wf(j)=cos [2π×p/z×(j−Lai/M)]
Tooth 1: Wf(1)=cos [2π×3/10×(1−9/2)]=0.951
Tooth 2: Wf(2)=cos [2π×3/10×(2−9/2)]=0.000
Tooth 3: Wf(3)=cos [2π×3/10×(3−9/2)]=−0.951
Tooth 4: Wf(4)=cos [2π×3/10×(4−9/2)]=0.588
Tooth 5: Wf(5)=cos [2π×3/10×(5−9/2)]=0.588
Tooth 6: Wf(6)=cos [2π×3/10×(6−9/2)]=−0.951
Tooth 7: Wf(7)=cos [2π×3/10×(7−9/2)]=0.000
Tooth 8: Wf(8)=cos [2π×3/10×(8−9/2)]=0.951
Tooth 9: Wf(9)=cos [2π×3/10×(9−9/2)]=−0.588
Tooth 10: Wf(10)=cos [2π×3/10×(10−9/2)]=−0.588
In the next pass, for coil 2, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=0.951
Comparison of angle error
|Wf(1)|=Wfmax: 0.951=0.951: Condition met
|Wf(2)|=Wfmax: 0.000≠0.951: Condition not met
|Wf(3)|=Wfmax: 0.951=0.951: Condition met
|Wf(4)|=Wfmax: 0.588≠0.951: Condition not met
|Wf(5)|=Wfmax: 0.588≠0.951: Condition not met
|Wf(6)|=Wfmax: 0.951=0.951: Condition met
|Wf(7)|=Wfmax: 0.000≠0.951: Condition not met
|Wf(8)|=Wfmax: 0.951=0.951: Condition met
|Wf(9)|=Wfmax: 0.588≠0.951: Condition not met
|Wf(10)|=Wfmax: 0.588≠0.951: Condition not met
Since here a plurality of pole teeth have the same least absolute angle error, from these pole teeth the pole tooth Z that is located in the region between the beginning lamination La and the end lamination Le of the coil S is selected. It is also checked whether, for the selected tooth Z, the predetermined number M of coils S has already been selected.
Outcome of the comparison:
The coil 2 can be wound onto tooth 3. The ascertained value is negative, and hence the coil 2 is wound counterclockwise. Thus the first line of the winding table in
The same calculations are now made in accordance with equations (2) and (3) for the remaining coils 3-20, and thus the winding table in
The automatic winder, not shown, executes the winding table of
The winding wire 17 is first, in accordance with segment a), contacted by its beginning 17a to the lamination L2. From there, it is passed to the pole tooth Z1, and the coil S1 is wound—as indicated by an arrow—clockwise around the pole tooth Z1. The coil end is contacted with the lamination L9. From there, the coil S2 is now wound counterclockwise onto the pole tooth Z3, and the coil end is placed at lamination L16. From there, the coil S3 is wound clockwise onto the pole tooth Z8, and the coil end is placed at lamination L3. From there, the coil S4 is wound counterclockwise onto the pole tooth Z10, and the coil end is contacted with the lamination L10. From there, the coil S5 is wound clockwise onto the pole tooth Z5, and the coil end is contacted with the lamination L17. From the lamination L17, the coil wire is transferred, as indicated by the arrow, to the segment b) in
There, from lamination L17, the coil S6 is wound counterclockwise onto the pole tooth Z7, and the coil end is contacted with the lamination L4. From there, the coil S7 is wound clockwise onto the pole tooth Z2, and the coil end is contacted with the lamination L11. From lamination L11, the coil S8 is now wound clockwise onto the pole tooth Z4, and the coil end is contacted with the lamination L18. From there, the coil S9 is wound clockwise onto the pole tooth Z9, and the coil end is contacted with the lamination L5. From lamination L5, the coil S10 is now wound clockwise onto the pole tooth Z1, and the coil end is contacted with the lamination L12. From lamination L12, the winding wire is now transferred as indicated by the arrow to the segment c) in
There, the coil S18, beginning at lamination L12, is wound clockwise around the pole tooth Z6, and the coil end is placed at lamination 19. From there, the coil S12 is wound counterclockwise onto the pole tooth Z8, and the coil end is placed at lamination L6. From there, the coil S13 is wound clockwise onto the pole tooth 73, and the coil end is contacted with lamination L13. From L13, the coil S14 is now wound counterclockwise onto the pole tooth Z5, and the coil end is contacted with the lamination L20. From there, the coil S15 is wound clockwise onto the pole tooth Z10, and the end is contacted with the lamination L7. From there, the winding wire is transferred as indicated by the arrow to segment d) of
From lamination L7 the coil S16 is now wound counterclockwise onto the pole tooth Z2, and the coil end is contacted with the lamination L14. From there, the coil S17 is wound clockwise onto the pole tooth Z73 and the coil end is contacted with the lamination L1. The coil S18 is wound from there counterclockwise onto the pole tooth Z9, and the coil end is contacted with the lamination L8. From lamination L8, the coil S19 is wound clockwise onto the pole tooth Z4, and its coil end is placed on the lamination L15. Finally, the coil S20 is also wound counterclockwise onto the pole tooth Z6, and the coil end is again place on the lamination L2. The end 17b of the winding wire 17 is capped here. Thus all 20 coils are continuously wound, uniformly distributed, in succession onto all the pole teeth Z. From the winding table of
In a second exemplary embodiment, by the method described above, a winding table shown in
For the second exemplary embodiment, the following numbers apply.
With these values, the conditions listed above are met. With the two equations (1), the beginning lamination Lai and end lamination Lei are now defined for each coil Li.
Coil contacting at the commutator:
Ascertaining angle error:
For every coil S, for all the pole teeth Z, the respective angle error Wf is ascertained in accordance with equation (2).
Angle error of coil 1:
Wf(j)=cos [2π×p/z×(j−Lai/M)]
Tooth 1: Wf(1)=cos [2π×2/5×(1−3/3)]=1.000
Tooth 2: Wf(2)=cos [2π×2/5×(2−3/3)]=−0.809
Tooth 3: Wf(3)=cos [2π×2/5×(3−3/3)]=0.309
Tooth 4: Wf(4)=cos [2π×2/5×(4−3/3)]=0.309
Tooth 5: Wf(5)=cos [2π×2/5×(5−3/3)]=−0.809
In the next pass, for coil 1, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=1.000
Comparison of angle error
|Wf(1)|=Wfmax: 1=1: Condition met
|Wf(2)|=Wfmax: 0.809≠1: Condition not met
|Wf(3)|=Wfmax: 0.309≠1: Condition not met
|Wf(4)|=Wfmax: 0.309≠1: Condition not met
|Wf(5)|=Wfmax: 0.809≠1: Condition not met
Outcome of the comparison:
The coil 1 can be wound onto tooth Z1. The ascertained value is positive, and hence the coil 1 is wound clockwise. Thus the first line of the winding table in
Angle error of coil 2:
Wf(j)=cos [2π×p/z×(j−kai/M)]
Tooth 1: Wf(1)=cos [2π×2/5×(1−11/3)]=0.914
Tooth 2: Wf(2)=cos [2π×2/5×(2−11/3)]=−0.500
Tooth 3: Wf(3)=cos [2π×2/5×(3−11/3)]=−0.105
Tooth 4: Wf(4)=cos [2π×2/5×(4−11/3)]=0.669
Tooth 5: Wf(5)=cos [2π×2/5×(5−11/3)]=−0.978
In the next pass, for coil 2, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=0.978
Comparison of angle error
|Wf(1)|=Wfmax: 0.914≠0.978: Condition not met
|Wf(2)|=Wfmax: 0.500≠0.978: Condition not met
|Wf(3)|=Wfmax: 0.105≠0.978: Condition not met
|Wf(4)|=Wfmax: 0.669≠0.978: Condition not met
|Wf(5)|=Wfmax: 0.978=0.978: Condition met
Outcome of the comparison:
The coil S2 can be wound onto tooth Z3. The ascertained value is negative, and hence the coil 2 is wound counterclockwise. Thus defines the second line of the winding table in
The same calculations are now made in accordance with equations (2) and (3) for the remaining coils 3-15, and thus the winding table in
In
Here the winding wire 17 is first, with its beginning 17a, contacted to lamination L3. From there, it is passed to the pole tooth Z1, and the coil S1 is wound clockwise onto the pole tooth Z1. The coil end is contacted with the lamination L11. From there, the coil S2 is now wound counterclockwise onto the pole tooth Z5, and the coil end is placed on lamination L4. From there, the coil S8 is again wound counterclockwise onto the pole tooth Z5, and the coil end is placed on lamination L12. From there, the coil S4 is wound clockwise onto the pole tooth Z4, and the coil end is contacted with the lamination L5. From lamination L5, the winding wire 17 is transferred as indicated by the arrow to the beginning of coil 6, and the winding table is executed by the automatic winder in the same way as in
In a third exemplary embodiment, by the method described above, a winding table shown in
For the third exemplary embodiment, the following numbers apply:
With these values, the conditions listed above are met. With the two equations (1), the beginning lamination Lai and end lamination Lei are now defined for each coil Li.
Coil contacting at the commutator:
Ascertaining angle error:
For every coil S, for all the pole teeth Z, the respective angle error Wf is ascertained in accordance with equation (2).
Angle error of coil 1:
Wf(j)=cos [2π×p/z×(j−kai/M)]
Tooth 1: Wf(1)=cos [2π×4/9×(1−3/3)]=1.000
Tooth 2: Wf(2)=cos [2π×4/9×(2−3/3)]=−0.940
Tooth 3: Wf(3)=cos [2π×4/9×(3−3/3)]=−0.766
Tooth 4: Wf(4)=cos [2π×4/9×(4−3/3)]=−0.500
Tooth 5: Wf(5)=cos [2π×4/9×(5−3/3)]=0.174
Tooth 6: Wf(6)=cos [2π×4/9×(6−3/3)]=0.174
Tooth 7: Wf(7)=cos [2π×4/9×(7−3/3)]=−0.500
Tooth 8: Wf(8)=cos [2π×4/9×(8−3/3)]=0.766
Tooth 9: Wf(9)=cos [2π×4/9×(9−3/3)]=0.940
In the next pass, for coil 1, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=1.0
Comparison of angle error
|Wf(1)|=Wfmax: 1=1: Condition met
|Wf(2)|=Wfmax: 0.94≠1: Condition not met
|Wf(3)|=Wfmax: 0.766≠1: Condition not met
|Wf(4)|=Wfmax: 0.5≠1: (Condition not met
|Wf(5)|=Wfmax: 0.174≠1: Condition not met
|Wf(6)|=Wfmax: 0.174≠1: Condition not met
|Wf(7)|=Wfmax: 0.5≠1: Condition not met
|Wf(8)=Wfmax: 0.766≠1: Condition not met
|Wf(9)|=Wfmax: 0.94≠1: Condition not met
Outcome of the comparison:
The coil S1 can be wound onto tooth Z1. The ascertained value is positive, and hence the coil 1 is wound clockwise. Thus the first line of the winding table in
Angle error of coil 2:
Wf(j)=cos [2π×p/z×(j−Lai/M)]
Tooth 1: Wf(1)=cos [2π×4/9×(1−10/3)]=0.973
Tooth 2: Wf(2)=cos [2π×4/9×(2−10/3)]=−0.835
Tooth 3: Wf(3)=cos [2π×4/9×(3−10/3)]=0.597
Tooth 4: Wf(4)=cos [2π×4/9×(4−10/3)]=−0.287
Tooth 5: Wf(5)=cos [2π×4/9×(5−10/3)]=−0.058
Tooth 6: Wf(6)=cos [2π×4/9×(6−10/3)]=0.396
Tooth 7: Wf(7)=cos [2π×4/9×(7−10/3)]=−0.686
Tooth 8: Wf(8)=cos [2π×4/9×(8−10/3)]=0.894
Tooth 9: Wf(9)=cos [2π×4/9×(9−10/3)]=−0.993
In the next pass, for coil 2, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=0.993
Comparison of angle error
|Wf(1)|=Wfmax: 0.973≠0.993: Condition not met
|Wf(2)|=Wfmax: 0.835≠0.993: Condition not met
|Wf(3)|=Wfmax: 0.597≠0.993: Condition not met
|Wf(4)|=Wfmax: 0.287≠0.993: Condition not met
|Wf(5)|=Wfmax: 0.058≠0.993: Condition not met
|Wf(6)|=Wfmax: 0.396≠0.993: Condition not met
|Wf(7)|=Wfmax: 0.686≠0.993: Condition not met
|Wf(8)|=Wfmax: 0.894≠0.993: Condition not met
|Wf(9)|=Wfmax: 0.993≠0.993: Condition met
Outcome of the comparison:
The coil S2 can be wound onto tooth Z9. The ascertained value is negative, and hence the coil 2 is wound counterclockwise. Thus the second line of the winding table in
The same calculations are now made in accordance with equations (2) and (3) for the remaining coils 3-27, and thus the winding table in
In
Here the winding wire 17 is first, with its beginning 17a, contacted to lamination L3. From there, it is passed to the pole tooth 71, and the coil S1 is wound clockwise onto the pole tooth Z1. The coil end is contacted with the lamination L10. From there, the coil S2 is now wound counterclockwise onto the pole tooth Z9, and the coil end is placed on lamination L17. From there, the coil S3 is again wound counterclockwise onto the pole tooth Z9, and the coil end is placed on lamination L24. From there, the coil S4 is wound clockwise onto the pole tooth Z8, and the coil end is contacted with the lamination L4. From lamination L4, the coil wire is transferred as indicated by the arrow to the beginning of coil 5, and the winding table is executed by the automatic winder in the same way as in
To avoid long connections between the laminations and the coils on the commutator side of the rotor 13, it may be useful to pass the winding wire 17 between the beginning or end lamination La, Le and a coil S between two more closely located pole teeth Z to the back side of the armature, and from there, particularly between two further pole teeth Z, back to the front side and then to pass it to the coil S or the lamination L, as shown in dashed lines in
In a fourth exemplary embodiment, by the method described above, a winding table shown in
For the first exemplary embodiment, the following numbers apply:
With these values, the conditions listed above are met. With the two equations (1), the beginning lamination Lai and end lamination Lei are now defined for each coil Li.
Coil contacting at the commutator:
Ascertaining angle error:
For every coil S, for all the pole teeth Z, the respective angle error Wf is ascertained in accordance with equation (2).
Angle error of coil 1:
Wf(j)=cos [2π×p/z×(j−kai/M)]
Tooth 1: Wf(1)=cos [2π×5/12×(1−2/2)]=1.000
Tooth 2: Wf(2)=cos [2π×5/12×(2−2/2)]−0.866
Tooth 3: Wf(3)=cos [2π×5/12×(3−2/2)]=0.500
Tooth 4: Wf(4)=cos [2π×5/12×(4−2/2)]=0.000
Tooth 5: Wf(5)=cos [2π×5/12×(5−2/2)]=−0.500
Tooth 6: Wf(6)=cos [2π×5/12×(6−2/2)]=0.866
Tooth 7: Wf(7)=cos [2π×5/12×(7−2/2)]=−1.000
Tooth 8: Wf(8)=cos [2π×5/12×(8−2/2)]=0.866
Tooth 9: Wf(9)=cos [2π×5/12×(9−2/2)]=−0.500
Tooth 10: Wf(10)=cos [2π×5/12×(10−2/2)]=0.000
Tooth 11: Wf(11)=cos [2π×5/12×(11−2/2)]=0.500
Tooth 12: Wf(12)=cos [2π×5/12×(12−2/2)]=−0.866
In the next pass, for coil 1, the pole tooth that has the least angle error Wf, or the greatest angle error cosine value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=1.000
Comparison of angle error
|Wf(1)|=Wfmax: 1=1: Condition met
|Wf(2)|=Wfmax: 0.866≠1: Condition not met
|Wf(3)|=Wfmax: 0.5≠1: Condition not met
|Wf(4)|=Wfmax: 0.000≠1: Condition not met
|Wf(5)|=Wfmax: 0.5≠1: Condition not met
|Wf(6)|=Wfmax: 0.866≠1: Condition not met
|Wf(7)|=Wfmax: 1=1: Condition met
|Wf(8)|=Wfmax: 0.866≠1: Condition not met
|Wf(9)|=Wfmax: 0.5≠1: Condition not met
|Wf(10)|=Wfmax: 0.000≠1: Condition not met
|Wf(11)|=Wfmax: 0.5≠1: Condition not met
|Wf(12)|=Wfmax: 0.866≠1: Condition not met
Outcome of the comparison:
The coil S1 can be wound onto tooth Z1. The ascertained value is positive, and hence the coil 1 is wound clockwise. Thus the first line of the winding table in
Angle error of coil 2:
Wf(j)=cos [2π×p/z×(j−kai/M)]
Tooth 1: Wf(1)=cos [2π×5/12×(1−7/2)]=0.966
Tooth 2: Wf(2)=cos [2π×5/12×(2−7/2)]=−0.707
Tooth 3: Wf(3)=cos [2π×5/12×(3−7/2)]=0.259
Tooth 4: Wf(4)=cos [2π×5/12×(4−7/2)]=0.259
Tooth 5: Wf(5)=cos [2π×5/12×(5−7/2)]=−0.707
Tooth 6: Wf(6)=cos [2π×5/12×(6−7/2)]=0.966
Tooth 7: Wf(7)=cos [2π×5/12×(7−7/2)]=−0.966
Tooth 8: Wf(8)=cos [2π×5/12×(8−7/2)]=0.707
Tooth 9: Wf(9)=cos [2π×5/12×(9−7/2)]=−0.259
Tooth 10: Wf(10)=cos [2π×5/12×(10−7/2)]=−0.259
Tooth 11: Wf(11)=cos [2π×5/12×(11−7/2)]=0.707
Tooth 12: Wf(12)=cos [2π×5/12×(12−7/2)]=−0.966
In the next pass, for coil 2, the pole tooth that has the least angle error Wf; or the greatest angle error cosine
value Wfmax, is ascertained, using equation (3):
Wfmax=max(|(Wf(1)|,|(Wf(2)|,|(Wf(3)|, . . . )=0.966
Comparison of angle error
|Wf(1)|=Wfmax: 0.966=0.966: Condition met
|Wf(2)|=Wfmax: 0.707≠0.966. Condition not met
|Wf(3)|=Wfmax: 0.259≠0.966: Condition not met
|Wf(4)|=Wfmax: 0.259≠0.966: Condition not met
|Wf(5)|=Wfmax: 0.707≠0.966: Condition not met
|Wf(6)|=Wfmax: 0.966≠0.966: Condition met
|Wf(7)|=Wfmax: 0.966=0.966: Condition met
|Wf(8)|=Wfmax: 0.707≠0.966: Condition not met
|Wf(9)|=Wfmax: 0.259≠0.966: Condition not met
|Wf(10)|=Wfmax: 0.259≠0.966: Condition not met
|Wf(11)|=Wfmax: 0.707≠0.966: Condition not met
|Wf(12)|=Wfmax: 0.066=0.966: Condition met
Outcome of the comparison:
The coil S2 can be wound onto tooth Z6. The ascertained value is positive, and hence the coil 2 is wound clockwise. Thus the second line of the winding table in
The same calculations are now made in accordance with equations (2) and (3) for the remaining coils 3-27, and thus the winding table in
In
Here the winding wire 17 is first, with its beginning 17a, contacted to lamination L2. From there, it is passed to the pole tooth Z1, and the coil S1 is wound clockwise onto the pole tooth Z1. The coil end is contacted with the lamination L7. From there, the coil S2 is now wound clockwise onto the pole tooth Z6, and the coil end is placed on lamination L12. From there, the coil S3 is again wound clockwise onto the pole tooth Z6, and the coil end is placed on lamination L17. From there, the coil S4 is wound clockwise onto the pole tooth Z11, and the coil end is contacted with the lamination L22. From lamination L22, the coil wire is transferred as indicated by the arrow to the beginning of coil 6 by the automatic winder in the same way as in
The invention is limited to the exemplary embodiments shown since many combinations to realize the invention are obtained within the context of the following conditions:
P>1<z for the number of pole pairs;
z≠2p≠3p for the number of teeth;
M=s/z for the multiplier; and
|Y−l/p|≦0.5 for the lamination increment width.
For ascertaining the electrical angle error of the coils with regard to the respective pole teeth, instead of the cosine value in equation (2), the sine value may be used. In the same way, the electrical angle error referred to the pole pitch can be ascertained as an arc amount, if the cosine is omitted from equation (2). An absolute angle error of the coils referred to the entire circumference is obtained by omitted “p” in equation (2), which is likewise possible within the scope of the invention. Then, however, the angle error must be corrected with the number of poles, or in other words with modular 2π/2p. Finally, the angle error can also be ascertained in degrees, if the term “2π” is replaced with “360°” and the result is corrected with modular 360°/2p. In either case, however, to set up the winding table for each coil, the pole tooth having the least angle error must be ascertained.
In winding machines with two so-called flyers or needles offset from one another by 180°, half the number of coils can also be continuously wound, in the case where there is an even number s of coils as in
Number | Date | Country | Kind |
---|---|---|---|
102004062813.0 | Dec 2004 | DE | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/EP05/55718 | 11/3/2005 | WO | 6/27/2007 |