CA1112277A - Multipolar rotational angle detecting resolver requiring no coils on the rotor - Google Patents
Multipolar rotational angle detecting resolver requiring no coils on the rotorInfo
- Publication number
- CA1112277A CA1112277A CA326,329A CA326329A CA1112277A CA 1112277 A CA1112277 A CA 1112277A CA 326329 A CA326329 A CA 326329A CA 1112277 A CA1112277 A CA 1112277A
- Authority
- CA
- Canada
- Prior art keywords
- rotor
- coils
- sine
- stator
- wound
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
- G01D5/00—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable
- G01D5/12—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means
- G01D5/14—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage
- G01D5/20—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage by varying inductance, e.g. by a movable armature
- G01D5/204—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage by varying inductance, e.g. by a movable armature by influencing the mutual induction between two or more coils
- G01D5/2046—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage by varying inductance, e.g. by a movable armature by influencing the mutual induction between two or more coils by a movable ferromagnetic element, e.g. a core
-
- G—PHYSICS
- G08—SIGNALLING
- G08C—TRANSMISSION SYSTEMS FOR MEASURED VALUES, CONTROL OR SIMILAR SIGNALS
- G08C19/00—Electric signal transmission systems
- G08C19/38—Electric signal transmission systems using dynamo-electric devices
- G08C19/40—Electric signal transmission systems using dynamo-electric devices of which only the rotor or the stator carries a winding to which a signal is applied, e.g. using step motor
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K24/00—Machines adapted for the instantaneous transmission or reception of the angular displacement of rotating parts, e.g. synchro, selsyn
Abstract
ABSTRACT OF THE DISCLOSURE
A multipolar resolver is so constructed that the need of the conventionally indispensable coil on the resolver rotor is eliminated by providing a center coil on a stator, and 5n or 3n rotor poles and 4n stator poles are provided where n is a positive integer. Sine and consine coils are wound on the stator poles alternate-ly, thus simplifying the construction of the multipolar resolver.
A multipolar resolver is so constructed that the need of the conventionally indispensable coil on the resolver rotor is eliminated by providing a center coil on a stator, and 5n or 3n rotor poles and 4n stator poles are provided where n is a positive integer. Sine and consine coils are wound on the stator poles alternate-ly, thus simplifying the construction of the multipolar resolver.
Description
Z~7 1 The present invention relates to the field of the multipolar resolver which may employ either a sine or cosine coil for the rotor, or more in particular to a novel and compact multipolar resolver requiring no coil on the rotor.
Generally, the resolver is of dual polarity and has a stator wound with two different types of coils, i.e., sine and cosine coils at an electrical angle of 90 degrees. The rotor is also wound with sine and cosine coils. In the case of the resolver used for position detection instead of calculation, however, it often suffices if only one type of coil is wound on either stator or rotor. Nowadays, the brushless resolver is widely used which has only one type of coil on the rotor.
In these conventional resolvers, the rotor is required to be provided with coil, and therefore the re~solver having few poles, say, two poles accounts for the greater proportion of the products. As a result, manufac-ture of multipolar resolvers is limited greatly in regard to their structure. In fact, the multipolar resolvers presently produced have at most four or six poles.
As a rotational angle detector proposed by the present applicant, the apparatus as disclosed in German Application Publication No. 2,301,483 granted to the present applicant is known. This rotational angle ~ .
.
:- ':. . : .
7~
1 detector utilizes the principle of the vernier scale and is constructed as briefly described below. A coil is provided at substantially the central part of the stator for generating magnetic fluxes, while a coil for detecting the rotational angle of the rotor is provided on each of a plurality of stator poles positioned along the circumference having the same axis as the rotor.
The plurality of coils are for detecting a digital angle.
An object of the present invention is to provide a multipolar resolver which requires no coils on the rotor.
Another object of the present invention is to provide a multipolar resolver utilizing the principle of the vernier scale, thus simplifying the general configu-ration to facilitate production on the one hand and toreduce the production cost on the other hand.
According to one aspect of the present inven-tion, there is provided a multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 5n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material with 4n stator poles provided equidistantly along the circumference concentric with the axis of the rotor, a central coil provided on the stator along substantially the same axis as the rotor axis, and sine and cosine coils wound on the stator poles, the sine and cosine coils being wound alternately on the stator poles, the sine coils being connected in serles , ': :
. `
Z7 ~
1 w th each other and wound in opposite directions of winding alternately, and the cosine coils being connected in series with each other and wound in opposite directions of winding alternately.
According to another aspect of the present invention, there is provided a multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 3n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material with 4n stator poles provided equidistantly along the circumference concentric with the axis of the rotor, a central coil provided on the stator along substantially the same axis as the rotor axis, and sine and cosine coils wound on the stator poles, the sine and cosine coils being wound alternately on the stator poles, the sine coils being connected in series with each other and wound in opposite directions of winding alternately, and the cosine coils being connected in series with each other and wound in opposite direc-tions of winding alternately.
The above and other objects, features and advantages of the present invention will be made more clear from the following description with reference to the accompanying drawings, in which:
Fig. 1 is a schematic diagram showing the construction of a conventional two-pole resolver;
Fig. 2 is a diagram for explalning the operat-ing principle of the two-pole resolver shown in Fig. l;
27~7 1 Figs. 3A and 3B are sectional and plan views respectively schematically showing the construction of the rotational angle detector already proposed by the present applicant;
Figs. 4A and 4~ are a plan view schematically showing the construction of an embodimen'~ of a multipolar resolver according to the present invention and a sec-tional view taken in the line IVB-IVB respectively;
Figs. 5A to 5E are diagrams for explaining the operation of the multipolar resolver shown in Figs.
4A and 4B;
Fig. 6 is a diagram for explaining the operat-ing principle of the multlpolar resolver shown in Figs.
4A and 4B;
Fig. 7 is a graph showing sin3E which is the sine component of the output voltage of the multipolar resolver shown in Figs. 4A and 4B; and Fig. 8 is a graph showing sin~E which is the sine component of the output voltage of the multipolar resolver according to another embodiment of the present invention.
Prior to explanatin of the preferred embodi-ments of the present invention, the above-mentioned prior art will be described again with reference to the companying drawings.
The construction of the above-mentioned conventional two-pole resolver is schematically ~ho~ln in Fig. 1. In this diagram, reference numeral 1 shows a ::
: .
' . .
7~7 1 rotor, numeral 2 a stator, numeral 3 a stator pole, numeral 4 a single rotor coil, numeral 5 a sine coil provided on the stator, and numeral 6 a cosine coil provided on the stator. If the number Or the resolver poles is increased to four or six in this conventional construction, the number of stator poles is increased to twice or thrice accordingly and the rotor geometry is increasingly complicated, so that the general configuration is complicated on the one hand and the dimension-thereof are increased on the other hand.
The operating principle of the two-pole resolver of Fig. 1 will be seen from Flg. 2. When the rotor coil 4 is excited with the exciting frequency of sin~t, the outputs of sin~-sin~t and cos~.sin~t are produced respectively from the stator coils 5 and 6, where ~ is the rotational angle o~ the rotor.
The above-mentioned rotational angle detector suggested by the present applicant is shown in Figs. 3A
and 3B. It will be seen that the disc-like rotor 30 of magnetic material includes radially equidistantly-provided eleven arms 30A to 30K and a rotational shaft 31. The protrusion 33 provided at the central part of the stator 32 of magnetic material is wound with a primary coil 34.
The stator 32 has ten stator poles 35A to 35J provided on the circumferential periphery thereof, and the stator poles thereof are wound with secondary coils 36A to 35J
respectively. Upon application of the exciting voltage to the primary coil 34, the magnetic fluxes 37 generated -, , .
;
~ . ,. . -- ,.. :;, : , , ~. . , , : ~ ..
Generally, the resolver is of dual polarity and has a stator wound with two different types of coils, i.e., sine and cosine coils at an electrical angle of 90 degrees. The rotor is also wound with sine and cosine coils. In the case of the resolver used for position detection instead of calculation, however, it often suffices if only one type of coil is wound on either stator or rotor. Nowadays, the brushless resolver is widely used which has only one type of coil on the rotor.
In these conventional resolvers, the rotor is required to be provided with coil, and therefore the re~solver having few poles, say, two poles accounts for the greater proportion of the products. As a result, manufac-ture of multipolar resolvers is limited greatly in regard to their structure. In fact, the multipolar resolvers presently produced have at most four or six poles.
As a rotational angle detector proposed by the present applicant, the apparatus as disclosed in German Application Publication No. 2,301,483 granted to the present applicant is known. This rotational angle ~ .
.
:- ':. . : .
7~
1 detector utilizes the principle of the vernier scale and is constructed as briefly described below. A coil is provided at substantially the central part of the stator for generating magnetic fluxes, while a coil for detecting the rotational angle of the rotor is provided on each of a plurality of stator poles positioned along the circumference having the same axis as the rotor.
The plurality of coils are for detecting a digital angle.
An object of the present invention is to provide a multipolar resolver which requires no coils on the rotor.
Another object of the present invention is to provide a multipolar resolver utilizing the principle of the vernier scale, thus simplifying the general configu-ration to facilitate production on the one hand and toreduce the production cost on the other hand.
According to one aspect of the present inven-tion, there is provided a multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 5n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material with 4n stator poles provided equidistantly along the circumference concentric with the axis of the rotor, a central coil provided on the stator along substantially the same axis as the rotor axis, and sine and cosine coils wound on the stator poles, the sine and cosine coils being wound alternately on the stator poles, the sine coils being connected in serles , ': :
. `
Z7 ~
1 w th each other and wound in opposite directions of winding alternately, and the cosine coils being connected in series with each other and wound in opposite directions of winding alternately.
According to another aspect of the present invention, there is provided a multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 3n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material with 4n stator poles provided equidistantly along the circumference concentric with the axis of the rotor, a central coil provided on the stator along substantially the same axis as the rotor axis, and sine and cosine coils wound on the stator poles, the sine and cosine coils being wound alternately on the stator poles, the sine coils being connected in series with each other and wound in opposite directions of winding alternately, and the cosine coils being connected in series with each other and wound in opposite direc-tions of winding alternately.
The above and other objects, features and advantages of the present invention will be made more clear from the following description with reference to the accompanying drawings, in which:
Fig. 1 is a schematic diagram showing the construction of a conventional two-pole resolver;
Fig. 2 is a diagram for explalning the operat-ing principle of the two-pole resolver shown in Fig. l;
27~7 1 Figs. 3A and 3B are sectional and plan views respectively schematically showing the construction of the rotational angle detector already proposed by the present applicant;
Figs. 4A and 4~ are a plan view schematically showing the construction of an embodimen'~ of a multipolar resolver according to the present invention and a sec-tional view taken in the line IVB-IVB respectively;
Figs. 5A to 5E are diagrams for explaining the operation of the multipolar resolver shown in Figs.
4A and 4B;
Fig. 6 is a diagram for explaining the operat-ing principle of the multlpolar resolver shown in Figs.
4A and 4B;
Fig. 7 is a graph showing sin3E which is the sine component of the output voltage of the multipolar resolver shown in Figs. 4A and 4B; and Fig. 8 is a graph showing sin~E which is the sine component of the output voltage of the multipolar resolver according to another embodiment of the present invention.
Prior to explanatin of the preferred embodi-ments of the present invention, the above-mentioned prior art will be described again with reference to the companying drawings.
The construction of the above-mentioned conventional two-pole resolver is schematically ~ho~ln in Fig. 1. In this diagram, reference numeral 1 shows a ::
: .
' . .
7~7 1 rotor, numeral 2 a stator, numeral 3 a stator pole, numeral 4 a single rotor coil, numeral 5 a sine coil provided on the stator, and numeral 6 a cosine coil provided on the stator. If the number Or the resolver poles is increased to four or six in this conventional construction, the number of stator poles is increased to twice or thrice accordingly and the rotor geometry is increasingly complicated, so that the general configuration is complicated on the one hand and the dimension-thereof are increased on the other hand.
The operating principle of the two-pole resolver of Fig. 1 will be seen from Flg. 2. When the rotor coil 4 is excited with the exciting frequency of sin~t, the outputs of sin~-sin~t and cos~.sin~t are produced respectively from the stator coils 5 and 6, where ~ is the rotational angle o~ the rotor.
The above-mentioned rotational angle detector suggested by the present applicant is shown in Figs. 3A
and 3B. It will be seen that the disc-like rotor 30 of magnetic material includes radially equidistantly-provided eleven arms 30A to 30K and a rotational shaft 31. The protrusion 33 provided at the central part of the stator 32 of magnetic material is wound with a primary coil 34.
The stator 32 has ten stator poles 35A to 35J provided on the circumferential periphery thereof, and the stator poles thereof are wound with secondary coils 36A to 35J
respectively. Upon application of the exciting voltage to the primary coil 34, the magnetic fluxes 37 generated -, , .
;
~ . ,. . -- ,.. :;, : , , ~. . , , : ~ ..
2~'7 1 by the primary coil 34 pass through the rotor 30, rotor arms, stator poles 35 and stator 32, thus producing an induced voltage in the stator coil 36. If the difference between the number of stator poles and the number of rotor arms is one as in the above-mentioned construction, only one of the stator poles is opposed to or aligned with only one of the arms all the time according to the principle of the vernier scale. Therefore, by detecting the stator coil from which an induced voltage is generated, the rotational angle of the rotor is detected.
The rotational angle detector of this construc-tion, however, is unable to display the functions of the resolver of the present invention.
An embodiment of the multipolar resolver according to the present invention will be described below with reference to Figs. 4A and 4B. In the drawings, the substantially cylindrical rotor 11 made of a magnetic material such as ferrite requiring no coils includes a rotor shaft 19 and ten rotor poles 12 designated by B
to B1C equidistantly arranged on the outer periphery thereof. The substantially disc-shaped stator 13 of magnetic material such as ferrite includes a protrusion 13A at substantially the centra] part thereof and eight stator poles 14 designated by Pl to P8 arranged substan-tially equidistantly on the outer periphery and extendingin the same direction as the axis 19 of the rotor. The stator protrusion 13A is wound with the central coi1 15, and the bases of the stator poles P2, PL~, P6 and P~ are . _ ~ 6 -1 wound with sine coils 16, while the poles Pl~ P3, P5 and P7 are wound with cosine coils 17. As apparent from the drawings, the poles P2, P4, P6, P8 wound with the sine coils 16 are arranged on the outer periphery of the stator 13 alternately with the poles Pl, P3, P5, P7 wound with the cosine coils 17. The coils Sl, S2, S3 and S4 p es P2, P4, P6 and P8 are connected in series with each other. The coils Cl, C2, C3 and C4 of the poles Pl, P3, P5 and P7 are also connected in series with each other. The sine coils 1~ are connected in series with each other in opposite directions of winding in such a manner that the polarity of the output voltage may be reversed at the electrical angle of 180 degrees.
In other words, the sine coils are wound in the counter-clockwise direction on the stator poles P2 and P6 and inthe clockwise direction on the poles P4 and P8. In similar fashion, the cosine coils 17 are wound on the stator poles Pl and P5 in the counterclockwise direction and on the poles P3 and P7 in the clockwise direction.
The substantially cylindrical rotor 11 is rotatably arranged in a substantially concave cylindrical space formed by the side walls of the stator protrusion 13A
and a plurality of stator poles 14. The side wall of the stator protrusion 13A is thus arranged in proximity to the side surface of the rotor perpendicular to the rotor shaft 19. Also, the rotor pole 12 and the stator pole 14 are arranged in proxi~lity to each other. The stator 13 is pre~erably formed integrally with the stator 1 poles 14. The magentic fluxes 18 generated by the excitation of the central coil 15 are thus passed through the stator protrusion 13A, stator 13, stator pole 14, rotor pole 12 and rotor 11 as shown in Fig. 4B. Although every coil has the same number of turns, the induced voltage of each coil varies depending on the degree of proximity between rotor pole 12 and stator pole 14, i.e., the degree of magnetic coupling therebetween. The total o~ the voltages induced in the coils Sl, S2, S3 and S4 shown in the drawing is produced at the sine coil 16.
In similar manner, the total of the voltages induced in the shown coils Cl, C2, C3 and C4 is obtained at the cosine coil 17.
Next, explanation will be made of the operation for producing an output voltage with the rotation of the resolver upon excitation of the central coil with reference to Figs. 5A to 5E and Fig. 7.
(1) ~ In the case where the rotor pole Bl is opposed to or aligned with the stator pole Pl (Fig. 5A):
The rotor pole B6 and the stator pole P5 are also aligned with each other so that the degree o~
magnetic coupling between coils Cl and C3 is maximum, thus producing the maximum voltage. On the other hand, the magnetic coupling between coils C2 and CLI is small, thus producing a minimum voltage. The coils C2 and C~
are wound in the direction opposite to the coils Cl and C3, so that the cosine coil 17 produces the voltage cos~E.sin~t which i5 equal to the sum of the voltage : ;, : :
.. ~ :
..?
27'7 1 across coils Cl and C3 less the sum of the voltages across the coils C2 and C4. The degree of magnetic coupling between poles P2 and B2, between poles P4 and B5, between poles P6 and B7 and between poles P8 and Blo are substantially equal to each other. Therefore, the sum of the voltages across coils Sl and S3 less the sum of the voltages across the coils S2 and S4 is sub-stantially zero, so that the output voltage sin~E-sin~t of the sine coil 16 is zero.
Referring to Fig. 7 showing the value of sin~E which is the sine component of the rotational angle of the rotor, the value of sin~E of the voltage sin~E sin~t obtained from the sin coil 16 when the rotor pole Bl is aligned with stator pole Pl is zero as shown by point A.
(2) In the case where the rotor pole B2 is aligned with stator pole P2 (Fig. 5B):
In Fig. 5A, the angular displacement between stator pole P2 and rotor pole B2 is 1/40 (= 1/8 - 1/10) of a rotation, i.e., 9 degrees (= 45 - 36 degrees).
Thus when the rotor 11 makes 1/40 of a rotation, i.e., 9 degrees from the position shown in Fig. 5A, it achieves the state shown in Fig. 5B. Since the pole B7 is aligned with pole P6 and the coils Sl and S3 are coupled magneti-cally to the greatest degree, a maximum voltage isproduced. The coils S2 and S4 are magnetically coupled with each other to the lowest degree, and th~refore a minimum voltage is produced therefrom. The coils :
:' ~ '', ,' ' ' ,:
, 2~
1 S2 and S4 are wound in the direction opposite to the coils Sl and S3 as described above, so that the sine coil 16 produces an output voltage sinaE~sin~t which is equal to the sum of the voltages across the coils Sl and S3 less the sum of the voltages across coils S2 and S4.
The value of sin~E is shown by point B in Fig. 7. The degree of magnetic coupling between poles Pl and Bl, between P3 and B3, between P5 and B6 and between P7 and B8 are substantially equal to each other, with the result that the sum of the voltages across the coils Cl and C3 less the sum of voltages across the coils C2 and C4 is substantially zero. Thus the output voltage cosOE~sin~t of the cosine coil 17 is substantially zero.
The rotational angle detector of this construc-tion, however, is unable to display the functions of the resolver of the present invention.
An embodiment of the multipolar resolver according to the present invention will be described below with reference to Figs. 4A and 4B. In the drawings, the substantially cylindrical rotor 11 made of a magnetic material such as ferrite requiring no coils includes a rotor shaft 19 and ten rotor poles 12 designated by B
to B1C equidistantly arranged on the outer periphery thereof. The substantially disc-shaped stator 13 of magnetic material such as ferrite includes a protrusion 13A at substantially the centra] part thereof and eight stator poles 14 designated by Pl to P8 arranged substan-tially equidistantly on the outer periphery and extendingin the same direction as the axis 19 of the rotor. The stator protrusion 13A is wound with the central coi1 15, and the bases of the stator poles P2, PL~, P6 and P~ are . _ ~ 6 -1 wound with sine coils 16, while the poles Pl~ P3, P5 and P7 are wound with cosine coils 17. As apparent from the drawings, the poles P2, P4, P6, P8 wound with the sine coils 16 are arranged on the outer periphery of the stator 13 alternately with the poles Pl, P3, P5, P7 wound with the cosine coils 17. The coils Sl, S2, S3 and S4 p es P2, P4, P6 and P8 are connected in series with each other. The coils Cl, C2, C3 and C4 of the poles Pl, P3, P5 and P7 are also connected in series with each other. The sine coils 1~ are connected in series with each other in opposite directions of winding in such a manner that the polarity of the output voltage may be reversed at the electrical angle of 180 degrees.
In other words, the sine coils are wound in the counter-clockwise direction on the stator poles P2 and P6 and inthe clockwise direction on the poles P4 and P8. In similar fashion, the cosine coils 17 are wound on the stator poles Pl and P5 in the counterclockwise direction and on the poles P3 and P7 in the clockwise direction.
The substantially cylindrical rotor 11 is rotatably arranged in a substantially concave cylindrical space formed by the side walls of the stator protrusion 13A
and a plurality of stator poles 14. The side wall of the stator protrusion 13A is thus arranged in proximity to the side surface of the rotor perpendicular to the rotor shaft 19. Also, the rotor pole 12 and the stator pole 14 are arranged in proxi~lity to each other. The stator 13 is pre~erably formed integrally with the stator 1 poles 14. The magentic fluxes 18 generated by the excitation of the central coil 15 are thus passed through the stator protrusion 13A, stator 13, stator pole 14, rotor pole 12 and rotor 11 as shown in Fig. 4B. Although every coil has the same number of turns, the induced voltage of each coil varies depending on the degree of proximity between rotor pole 12 and stator pole 14, i.e., the degree of magnetic coupling therebetween. The total o~ the voltages induced in the coils Sl, S2, S3 and S4 shown in the drawing is produced at the sine coil 16.
In similar manner, the total of the voltages induced in the shown coils Cl, C2, C3 and C4 is obtained at the cosine coil 17.
Next, explanation will be made of the operation for producing an output voltage with the rotation of the resolver upon excitation of the central coil with reference to Figs. 5A to 5E and Fig. 7.
(1) ~ In the case where the rotor pole Bl is opposed to or aligned with the stator pole Pl (Fig. 5A):
The rotor pole B6 and the stator pole P5 are also aligned with each other so that the degree o~
magnetic coupling between coils Cl and C3 is maximum, thus producing the maximum voltage. On the other hand, the magnetic coupling between coils C2 and CLI is small, thus producing a minimum voltage. The coils C2 and C~
are wound in the direction opposite to the coils Cl and C3, so that the cosine coil 17 produces the voltage cos~E.sin~t which i5 equal to the sum of the voltage : ;, : :
.. ~ :
..?
27'7 1 across coils Cl and C3 less the sum of the voltages across the coils C2 and C4. The degree of magnetic coupling between poles P2 and B2, between poles P4 and B5, between poles P6 and B7 and between poles P8 and Blo are substantially equal to each other. Therefore, the sum of the voltages across coils Sl and S3 less the sum of the voltages across the coils S2 and S4 is sub-stantially zero, so that the output voltage sin~E-sin~t of the sine coil 16 is zero.
Referring to Fig. 7 showing the value of sin~E which is the sine component of the rotational angle of the rotor, the value of sin~E of the voltage sin~E sin~t obtained from the sin coil 16 when the rotor pole Bl is aligned with stator pole Pl is zero as shown by point A.
(2) In the case where the rotor pole B2 is aligned with stator pole P2 (Fig. 5B):
In Fig. 5A, the angular displacement between stator pole P2 and rotor pole B2 is 1/40 (= 1/8 - 1/10) of a rotation, i.e., 9 degrees (= 45 - 36 degrees).
Thus when the rotor 11 makes 1/40 of a rotation, i.e., 9 degrees from the position shown in Fig. 5A, it achieves the state shown in Fig. 5B. Since the pole B7 is aligned with pole P6 and the coils Sl and S3 are coupled magneti-cally to the greatest degree, a maximum voltage isproduced. The coils S2 and S4 are magnetically coupled with each other to the lowest degree, and th~refore a minimum voltage is produced therefrom. The coils :
:' ~ '', ,' ' ' ,:
, 2~
1 S2 and S4 are wound in the direction opposite to the coils Sl and S3 as described above, so that the sine coil 16 produces an output voltage sinaE~sin~t which is equal to the sum of the voltages across the coils Sl and S3 less the sum of the voltages across coils S2 and S4.
The value of sin~E is shown by point B in Fig. 7. The degree of magnetic coupling between poles Pl and Bl, between P3 and B3, between P5 and B6 and between P7 and B8 are substantially equal to each other, with the result that the sum of the voltages across the coils Cl and C3 less the sum of voltages across the coils C2 and C4 is substantially zero. Thus the output voltage cosOE~sin~t of the cosine coil 17 is substantially zero.
(3) In the case where the rotor pole B3 is aligned with stator pole P3 (Fig. 5C):
When the rotor 11 makes 1/40 of' a rotation or 9 degrees from the position of Fig. 5B, the state shown in Fig. 5C is attained. The pole B8 is also aligned with the pole P7, and the degree of magnetic coupling between coils C2 and C4 is maximum, thus producing the maximum voltage. On the other hand, the degree of magnetic coupling between coils Cl and C3 is lowest and therefore a minimum voltage is produced. Since the coils Cl and C3 are wound in the direction opposite to the direction of coils C2 and C4, the cosine coil 17 produces an output voltage cos~E-sin~t which is equal to the sum of' the voltages across the coils C2 and CLI ~ess the sum of the voltages across the coils Cl and C3.
-'7 1 In this case, the phase of the output voltage is displaced by 180 degrees from that in the case of ~ig.
5A. The degree of magnetic coupling between poles P2 and B2, between P4 and B4, between P6 and B7 and between P8 and Bg are substantially the same. The sum of the voltages across the coils S2 and S4 less the sum of the voltages across the coils Sl and S3 is zero, so that the output voltage sin~E-sin~t of the sine coil 16 is sub-stantially zero. The value of sin~E is indicated by point C in Fig. 7.
When the rotor 11 makes 1/40 of' a rotation or 9 degrees from the position of Fig. 5B, the state shown in Fig. 5C is attained. The pole B8 is also aligned with the pole P7, and the degree of magnetic coupling between coils C2 and C4 is maximum, thus producing the maximum voltage. On the other hand, the degree of magnetic coupling between coils Cl and C3 is lowest and therefore a minimum voltage is produced. Since the coils Cl and C3 are wound in the direction opposite to the direction of coils C2 and C4, the cosine coil 17 produces an output voltage cos~E-sin~t which is equal to the sum of' the voltages across the coils C2 and CLI ~ess the sum of the voltages across the coils Cl and C3.
-'7 1 In this case, the phase of the output voltage is displaced by 180 degrees from that in the case of ~ig.
5A. The degree of magnetic coupling between poles P2 and B2, between P4 and B4, between P6 and B7 and between P8 and Bg are substantially the same. The sum of the voltages across the coils S2 and S4 less the sum of the voltages across the coils Sl and S3 is zero, so that the output voltage sin~E-sin~t of the sine coil 16 is sub-stantially zero. The value of sin~E is indicated by point C in Fig. 7.
(4) In the case where rotor pole B~l is aligned with stator pole P4 (Fig. 5D):
When the rotor 11 makes 1/40 of a rotation from the position of Fig. 5C, the state of Fig. 5D is attained. The pole Bg is also aligned with pole P8 and the degree of magnetic coupling between coils S2 and S4 is maximum, thus producing a maximum voltage. On the other hand, the degree of magnetic coupling between coils Sl and S3 is lowest, and therefore both Sl and S3 produce a minimum voltage. The coils S1 and S3 are wound in the direction opposite to that of the coils S2 and S4, and therefore the sine coil 16 produces an output voltage sin~E sin~t which is the sum of the voltages across the coils S2 an~ Sl~ less the sum of voltages across coils S
and S3. In this case, however, the phase of the output voltage is displaced by 180 degrees from that in the case of Fig. 5B. The value of sinaE is indicated by point D
in Fig. 7. The degree of magnetic coupL:Lng between Pl .
.
2Z7'~
1 and Blo, between P3 and B3, between P5 and B5 and between P7 and B8 are substantially equal to each other. The sum of the voltages across the coils C2 and C4 less the sum of the voltages across the coils Cl and C3 is substantially zero, so that the output voltage cos~E sin~t of the cosine coil 17 is substantially zero.
When the rotor 11 makes 1/40 of a rotation from the position of Fig. 5C, the state of Fig. 5D is attained. The pole Bg is also aligned with pole P8 and the degree of magnetic coupling between coils S2 and S4 is maximum, thus producing a maximum voltage. On the other hand, the degree of magnetic coupling between coils Sl and S3 is lowest, and therefore both Sl and S3 produce a minimum voltage. The coils S1 and S3 are wound in the direction opposite to that of the coils S2 and S4, and therefore the sine coil 16 produces an output voltage sin~E sin~t which is the sum of the voltages across the coils S2 an~ Sl~ less the sum of voltages across coils S
and S3. In this case, however, the phase of the output voltage is displaced by 180 degrees from that in the case of Fig. 5B. The value of sinaE is indicated by point D
in Fig. 7. The degree of magnetic coupL:Lng between Pl .
.
2Z7'~
1 and Blo, between P3 and B3, between P5 and B5 and between P7 and B8 are substantially equal to each other. The sum of the voltages across the coils C2 and C4 less the sum of the voltages across the coils Cl and C3 is substantially zero, so that the output voltage cos~E sin~t of the cosine coil 17 is substantially zero.
(5) In the case where the rotor pole B5 is aligned with stator pole P5 (Fig. 5E):
When the rotor 11 makes 1/40 of a rotation from the position of Fig. 5D, the state of Fig. 5E is attained.
The pole Blo is aligend with the pole Pl, which is quite the same electrical situation as that shown in Fig. 5A.
In other words, the rotor 11 returns to quite the same state electrically as the original state after making 15 1/10 (= 1/40 x 4) of a rotation as shown progressively in Figs. 5A, 5B, 5C, 5D and 5E in that order, the 1/10 rotation of the rotor 11 being equivalent to the electrical angle of 360 degrees. The value of sin~E
is indicated by point E in Fig. 7.
In the above-mentioned embodiment, the rotor has ten poles, and therefore one mechanical rotation of the rotor 11 corresponds to ten times the electrical angle of 3SO degrees, thus indicating a resolver of 20 poles.
It is seen ~rom the diagram of Fig. 6 ~or explaining the operating principle that upon excitation of the central coil 15 by the sine wave of, say, 10 K~lz, the rotation of rotor 11 by the mechanical angle Or ~M
Z~7 l causes the output wave forms of cos9E-sin~t and sin~E sin~t to be produced from the cosine coil 17 and the sine coil 16 respectively. The character ~E shows an electrical angle, and there is a well-known relation shown below between the mechanical angle eM and the number of poles N.
In the foregoing embodiment o~ the present invention, the central coil 15 is usea as the primary coil and the sine coil 16 and the cosine coil 17 as the secondary coil. They may of course be used in reverse way.
~ urther although the above-mentioned embodi-ment of the present invention employs eight stator poles and ten rotor poles, it is not limitative but only illustrative. In other words, the number of stator poles n times 4 and the number of rotor poles n times 5 or 3 may be used alternatively as shown in Table 1 below. It is in order to obtain sine and cosine outputs that the number of stator poles n times 4 is employed.
- , ,, : .
7';~
t à I ~
E~ ~
o ~ o o o o o ~+1 :. ~~ ~I N N
Z 0~.=t ~ (~J ~1 N
____ ___ .
~~ _~ r~ ~ ~_ . , ,.
1 An output waveform in a multipolar resolver according to anoth`er embodiment is shown in ~ig. 8. This voltage waveform represents a sine component of the rotor rotational angle produced by a 12-pole resolver having eight stator poles and 6 rotor poles. As explained above, the multipolar resolver according to the present invention has a coil only on the stator but not on the rotor. ~his eliminates the need of the slip ring on - the cne hand and simplifies the general construction on the other hand, leading to many advantages in cost and maintenance.
Furthermore, by introducing the vernier concept, the fabrication of a multipolar resolver having 20 or ~.ore poles is greatly facilitated, resulting in the consplcuous dual advantages of a greater number of divisions available for each rotor rotation and a higher accuracy of each rotor rotation without structural or dimensional limitations. The higher accuracy means that it is no longer necessary to drive the resolver at high speed by raising the gear ratio, leading to the advantage that the resolver may be directly coupled to the motor shaft in numerically controlled machine tool field.
Since the resolver according to the present invention is adapted to be directly coupled to the motor shaft without sacrificing the required accuracy, the resolver may be constructed integrally with the motor, thus greatly contributing to a simplified detecting mechanism.
Also, the availability of an increased number of divisions .
' ' ,, .
' 27'7 1 makes possible reliable detection of a speed component.
When the rotor 11 makes 1/40 of a rotation from the position of Fig. 5D, the state of Fig. 5E is attained.
The pole Blo is aligend with the pole Pl, which is quite the same electrical situation as that shown in Fig. 5A.
In other words, the rotor 11 returns to quite the same state electrically as the original state after making 15 1/10 (= 1/40 x 4) of a rotation as shown progressively in Figs. 5A, 5B, 5C, 5D and 5E in that order, the 1/10 rotation of the rotor 11 being equivalent to the electrical angle of 360 degrees. The value of sin~E
is indicated by point E in Fig. 7.
In the above-mentioned embodiment, the rotor has ten poles, and therefore one mechanical rotation of the rotor 11 corresponds to ten times the electrical angle of 3SO degrees, thus indicating a resolver of 20 poles.
It is seen ~rom the diagram of Fig. 6 ~or explaining the operating principle that upon excitation of the central coil 15 by the sine wave of, say, 10 K~lz, the rotation of rotor 11 by the mechanical angle Or ~M
Z~7 l causes the output wave forms of cos9E-sin~t and sin~E sin~t to be produced from the cosine coil 17 and the sine coil 16 respectively. The character ~E shows an electrical angle, and there is a well-known relation shown below between the mechanical angle eM and the number of poles N.
In the foregoing embodiment o~ the present invention, the central coil 15 is usea as the primary coil and the sine coil 16 and the cosine coil 17 as the secondary coil. They may of course be used in reverse way.
~ urther although the above-mentioned embodi-ment of the present invention employs eight stator poles and ten rotor poles, it is not limitative but only illustrative. In other words, the number of stator poles n times 4 and the number of rotor poles n times 5 or 3 may be used alternatively as shown in Table 1 below. It is in order to obtain sine and cosine outputs that the number of stator poles n times 4 is employed.
- , ,, : .
7';~
t à I ~
E~ ~
o ~ o o o o o ~+1 :. ~~ ~I N N
Z 0~.=t ~ (~J ~1 N
____ ___ .
~~ _~ r~ ~ ~_ . , ,.
1 An output waveform in a multipolar resolver according to anoth`er embodiment is shown in ~ig. 8. This voltage waveform represents a sine component of the rotor rotational angle produced by a 12-pole resolver having eight stator poles and 6 rotor poles. As explained above, the multipolar resolver according to the present invention has a coil only on the stator but not on the rotor. ~his eliminates the need of the slip ring on - the cne hand and simplifies the general construction on the other hand, leading to many advantages in cost and maintenance.
Furthermore, by introducing the vernier concept, the fabrication of a multipolar resolver having 20 or ~.ore poles is greatly facilitated, resulting in the consplcuous dual advantages of a greater number of divisions available for each rotor rotation and a higher accuracy of each rotor rotation without structural or dimensional limitations. The higher accuracy means that it is no longer necessary to drive the resolver at high speed by raising the gear ratio, leading to the advantage that the resolver may be directly coupled to the motor shaft in numerically controlled machine tool field.
Since the resolver according to the present invention is adapted to be directly coupled to the motor shaft without sacrificing the required accuracy, the resolver may be constructed integrally with the motor, thus greatly contributing to a simplified detecting mechanism.
Also, the availability of an increased number of divisions .
' ' ,, .
' 27'7 1 makes possible reliable detection of a speed component.
Claims (6)
1. A multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 5n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material with 4n stator poles proveded equidis-tantly along the circumference concentric with the axis of said rotor, a central coil provided on said stator along substantially the same axis as said rotor axis, and sine and cosine coils wound on said stator poles, said sine and cosine coils being wound alternately on said stator poles, said sine coils being connected in series with each other and wound in opposite directions of winding alternately, and said cosine coils being connected in series with each other and wound in opposite directions of winding alternately.
2. A multipolar resolver according to Claim 1, wherein said central coil is excited, so that induced voltages representing the sine and cosine components of the rotational angle of said rotor are produced from said sine and cosine coils respectively.
3 A multipolar resolver according to Claim 1, wherein said sine and cosine coils are excited, so that an induced voltage representing the rotational angle of said rotor is produced from said central coil.
4. A multipolar resolver comprising a substantially cylindrical rotor of magnetic material with 3n rotor poles provided equidistantly on the outer periphery thereof where n is a positive integer, a stator of magnetic material With 4n stator poles provided equidistantly along the circumference concentric with the axis of said rotor, a central coil provided on said stator along substantially the same axis as said rotor axis, and sine and cosine coils wound on said stator poles, said sine and cosine coils being wound alternately on said stator poles, said sine coils being connected in series with each other and wound in opposite directions of winding alternately, and said cosine coils being connect-ed in series with each other and wound in opposite directions of winding alternately.
5. A multipolar resolver according to Claim 4, wherein said central coil is excited, so that induced voltages representing the sine and cosine components of the rotational angle of said rotor are produced from said sine and cosine coils respectively.
6. A multipolar resolver according to Claim 4, wherein said sine and cosine coils are excited, so that an induced voltage representing the rotational angle of said rotor is produced from said central coil.
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP118206/78 | 1978-09-25 | ||
JP11820678A JPS5546862A (en) | 1978-09-25 | 1978-09-25 | Multipolar resolver |
Publications (1)
Publication Number | Publication Date |
---|---|
CA1112277A true CA1112277A (en) | 1981-11-10 |
Family
ID=14730814
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CA326,329A Expired CA1112277A (en) | 1978-09-25 | 1979-04-25 | Multipolar rotational angle detecting resolver requiring no coils on the rotor |
Country Status (5)
Country | Link |
---|---|
US (1) | US4255682A (en) |
EP (1) | EP0009102B1 (en) |
JP (1) | JPS5546862A (en) |
CA (1) | CA1112277A (en) |
DE (1) | DE2965246D1 (en) |
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EP0013799B1 (en) * | 1978-12-19 | 1985-10-02 | Kabushiki Kaisha Toshiba | Encoder for length or angle measuring devices with high accuracy |
JPH0753021B2 (en) * | 1983-02-08 | 1995-06-05 | 株式会社安川電機 | Excitation method for phase error compensation of inductor resolver |
US4697144A (en) * | 1984-04-19 | 1987-09-29 | Verify Electronics Limited | Position sensing apparatus |
US4605889A (en) * | 1984-08-21 | 1986-08-12 | Resolvex Corporation | Brushless tachometer/synchro |
USRE32857E (en) * | 1984-08-21 | 1989-02-07 | Resolvex Corporation | Brushless tachometer/synchro |
US4672347A (en) * | 1985-07-01 | 1987-06-09 | The Charles Stark Draper Laboratory, Inc. | Multi-speed resolver using ferrite stator and rotor structures |
FR2585124B1 (en) * | 1985-07-17 | 1989-12-01 | Precilec | TWO-POLE POLYPHASE INDUCTIVE SENSOR WITH NON-COIL ROTOR |
US4631510A (en) * | 1985-09-03 | 1986-12-23 | Powerton, Division Of Contraves Goerz Corporation | Harmonically graded airgap reluctance-type rotating electric resolver |
US4985691A (en) * | 1986-02-26 | 1991-01-15 | University Of Pittsburgh | Contactless motion sensor |
DE3618175A1 (en) * | 1986-05-30 | 1987-12-03 | Voest Alpine Automotive | ENCODER |
FI76898C (en) * | 1987-02-19 | 1988-12-12 | Antti Poro | ELECTRIC MOTOR. |
US4733117A (en) * | 1987-04-27 | 1988-03-22 | The Superior Electric Company | Reluctance synchro/resolver |
US4774428A (en) * | 1987-05-15 | 1988-09-27 | Synektron Corporation | Compact three-phase permanent magnet rotary machine having low vibration and high performance |
US4794511A (en) * | 1988-01-11 | 1988-12-27 | The Superior Electric Company | Apparatus and method for generating two-phase signals for use with a resolver to digital converter |
FR2647896B1 (en) * | 1989-05-30 | 1991-08-09 | Roulements Soc Nouvelle | ANGULAR POSITION SENSOR AND MULTI-SENSOR APPLICATION DEVICE |
FR2648632B1 (en) * | 1989-06-16 | 1991-10-04 | Moving Magnet Tech | LOW SIZE SINGLE PHASE ELECTROMAGNETIC ACTUATOR |
US5164622A (en) * | 1990-06-14 | 1992-11-17 | Applied Motion Products, Inc. | High pole density three phase motor |
US5512871A (en) * | 1990-12-17 | 1996-04-30 | Moving Magnet Technologies S.A. | Rotatable single-phase electromagnetic actuator |
DE4113880A1 (en) * | 1991-04-27 | 1992-10-29 | Messerschmitt Boelkow Blohm | TURN SIGNALING SYSTEM |
GB9110698D0 (en) * | 1991-05-17 | 1991-07-10 | Radiodetection Ltd | Inductive displacement sensors |
US5404101A (en) * | 1992-02-27 | 1995-04-04 | Logue; Delmar L. | Rotary sensing device utilizing a rotating magnetic field within a hollow toroid core |
US5763976A (en) * | 1993-12-15 | 1998-06-09 | Parker-Hannifin Corp. | Stator wound resolver with staggered rotor |
EP0743508A2 (en) * | 1995-05-16 | 1996-11-20 | Mitutoyo Corporation | Induced current position transducer |
US5973494A (en) * | 1996-05-13 | 1999-10-26 | Mitutoyo Corporation | Electronic caliper using a self-contained, low power inductive position transducer |
US6002250A (en) * | 1996-05-13 | 1999-12-14 | Mitutoyo Corporation | Electronic linear scale using a self-contained, low-power inductive position transducer |
US5886519A (en) * | 1997-01-29 | 1999-03-23 | Mitutoyo Corporation | Multi-scale induced current absolute position transducer |
DE19941464A1 (en) | 1999-09-01 | 2001-03-15 | Hella Kg Hueck & Co | Inductive position sensor |
JP4375638B2 (en) | 2000-01-25 | 2009-12-02 | 株式会社ハーモニック・ドライブ・システムズ | Absolute position detection method for motor rotation shaft |
US6630763B1 (en) | 2001-06-11 | 2003-10-07 | Mpc Products Corporation | Solid core angular position resolver |
JP4034690B2 (en) * | 2003-04-28 | 2008-01-16 | ミネベア株式会社 | Dual variable reluctance resolver and multi-speed resolver system using the same |
JP2005207914A (en) * | 2004-01-23 | 2005-08-04 | Minebea Co Ltd | Multiplexed resolver |
JP4142607B2 (en) * | 2004-03-26 | 2008-09-03 | ミネベア株式会社 | Variable reluctance resolver |
KR100600758B1 (en) * | 2004-09-15 | 2006-07-19 | 엘지전자 주식회사 | Motor's Stator and the Manufacturing Method for the Same |
US7740593B2 (en) * | 2005-12-09 | 2010-06-22 | Senorx, Inc | Guide block for biopsy or surgical devices |
KR100943701B1 (en) * | 2008-02-05 | 2010-02-25 | 성삼경 | Electric motor |
JP2010101716A (en) * | 2008-10-23 | 2010-05-06 | Tamagawa Seiki Co Ltd | Resolver |
WO2012098841A1 (en) * | 2011-01-20 | 2012-07-26 | 住友金属工業株式会社 | Vehicle body height adjustment valve having resolver for railway carriage |
US8742715B2 (en) | 2011-06-09 | 2014-06-03 | Simmonds Precision Products, Inc. | System and method for providing control of an electric motor using inductive rotary sensor |
US9064630B2 (en) * | 2011-10-17 | 2015-06-23 | GM Global Technology Operations LLC | Integrated high frequency rotary transformer and resolver for traction motor |
WO2013172315A1 (en) | 2012-05-14 | 2013-11-21 | 株式会社アミテック | Position detection device |
JP5892196B2 (en) * | 2014-01-27 | 2016-03-23 | 日本精工株式会社 | Resolver device, motor and actuator |
JP6675260B2 (en) | 2016-04-27 | 2020-04-01 | 東京エレクトロン株式会社 | Transformer, plasma processing apparatus, and plasma processing method |
JP6630630B2 (en) | 2016-05-18 | 2020-01-15 | 東京エレクトロン株式会社 | Plasma processing equipment |
GB2563616B (en) | 2017-06-20 | 2021-03-10 | Dyson Technology Ltd | A stator assembly |
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US2866913A (en) * | 1956-06-27 | 1958-12-30 | Bell Telephone Labor Inc | Multipole pair resolver |
DE1054354B (en) * | 1957-04-25 | 1959-04-02 | Siemens Ag | Device for generating an electrical signal as a function of angular positions |
US3265960A (en) * | 1959-10-08 | 1966-08-09 | Benjamin P Blasingame | Capacitive resolver |
US3041486A (en) * | 1960-04-15 | 1962-06-26 | United Aircraft Corp | Variable reluctance device |
GB1014116A (en) * | 1963-06-24 | 1965-12-22 | Kabushikikaisha Tokyo Keiki Se | Control signal device for step motor |
FR1434753A (en) * | 1964-05-25 | 1966-04-08 | S E Lab Engineering Ltd | Improvements to electromechanical transducers |
US3368142A (en) * | 1965-11-15 | 1968-02-06 | Northrop Corp | Self-testing variable transformer |
US3641467A (en) * | 1969-05-13 | 1972-02-08 | Allis Chalmers Mfg Co | Rotary inductor |
US3568119A (en) * | 1969-08-26 | 1971-03-02 | Aeroflex Lab Inc | Dynamic transformer |
DE2301483C3 (en) * | 1973-01-12 | 1975-10-23 | Okuma Machinery Works, Ltd., Nagoya, Aichi (Japan) | Inductive transducer |
-
1978
- 1978-09-25 JP JP11820678A patent/JPS5546862A/en active Granted
-
1979
- 1979-04-25 CA CA326,329A patent/CA1112277A/en not_active Expired
- 1979-04-30 US US06/034,974 patent/US4255682A/en not_active Expired - Lifetime
- 1979-08-01 DE DE7979102749T patent/DE2965246D1/en not_active Expired
- 1979-08-01 EP EP79102749A patent/EP0009102B1/en not_active Expired
Also Published As
Publication number | Publication date |
---|---|
JPS6243426B2 (en) | 1987-09-14 |
EP0009102B1 (en) | 1983-04-20 |
DE2965246D1 (en) | 1983-05-26 |
JPS5546862A (en) | 1980-04-02 |
EP0009102A1 (en) | 1980-04-02 |
US4255682A (en) | 1981-03-10 |
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