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WO1998005114A1 - Stepping motor - Google Patents

Stepping motor Download PDF

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Publication number
WO1998005114A1
WO1998005114A1 PCT/JP1997/001701 JP9701701W WO9805114A1 WO 1998005114 A1 WO1998005114 A1 WO 1998005114A1 JP 9701701 W JP9701701 W JP 9701701W WO 9805114 A1 WO9805114 A1 WO 9805114A1
Authority
WO
WIPO (PCT)
Prior art keywords
annular
rotor
pole teeth
yokes
yoke
Prior art date
Application number
PCT/JP1997/001701
Other languages
French (fr)
Japanese (ja)
Inventor
Kouichi Satoh
Hiroyasu Numaya
Kouichi Jinushi
Original Assignee
Nippon Seiki Co., Ltd.
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Nippon Seiki Co., Ltd. filed Critical Nippon Seiki Co., Ltd.
Publication of WO1998005114A1 publication Critical patent/WO1998005114A1/en

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Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K37/00Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors
    • H02K37/10Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type
    • H02K37/12Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets
    • H02K37/14Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets with magnets rotating within the armatures
    • H02K37/18Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets with magnets rotating within the armatures of homopolar type

Definitions

  • the present invention relates to a so-called permanent magnet type stepping motor, and more particularly to a stepping motor useful as a movement of an analog indicating instrument.
  • S are alternately magnetized at a constant pitch
  • the annular stator is formed with a plurality of pole teeth extending from the yoke into the hollow and facing the rotor magnetic poles in an annular comb-shaped arrangement with a constant pitch.
  • a yoke including pole teeth is magnetized by supplying a pulse signal to the excitation coil, and the rotor is rotated by a predetermined rotation angle by a magnetic action between the pole teeth and the magnetic poles of the rotor.
  • an analog indicating instrument such as a speedometer or an engine tachometer.
  • this type of stepping motor when used as a moving element of an analog indicating indicator, it is connected and fixed through a rotor, a pointer and a rotating shaft, and the rotor linked with the pointer is pulsed according to the measured amount.
  • the former using the speed reduction mechanism is disadvantageous in terms of productivity because the motor itself becomes larger and the number of parts increases, which is disadvantageous in terms of productivity.
  • problems such as brushing.
  • the latter micro-step drive the intermittent operation of the rotor (pointer) is visually observed by finely step-driving the mouth to a predetermined number of divisions. It is possible to alleviate the force to a level that does not cause discomfort due to the force; due to the imbalance of the magnetic circuit formed at each step between the magnetic pole of the rotor and the yoke including the pole teeth, etc.
  • the rotational angular velocity of the rotor tends to vary at each step, and the smoothness of the rotor operation is not sufficient.To ensure sufficient smoothness, the excitation coil must be Need to correct the pulse signal waveform itself according to the rotor operation
  • the present invention has been made in view of these points, and its purpose is to improve the smoothness of the rotation operation of the rotor itself by devising the pole teeth structure of the yoke, and to move the analog-to-analog indicating instrument.
  • it is possible to obtain the rotation of the pointer without feeling uncomfortable without using a deceleration mechanism, and when micro-step driving, stepping that requires almost no modification of the drive signal waveform DISCLOSURE OF THE INVENTION Which Does Not Provide a Motor
  • the present invention provides a combination of two sets of inner and outer yokes, and first and second annular bobbins on which first and second excitation coils are wound, respectively.
  • a rotor having a rotating shaft is rotatably supported in a hollow portion of a laminated body formed by concentrically laminating the annular stators, and the rotor is rotatably supported in each of the first and second annular stators.
  • a plurality of pole teeth which extend from the outer yoke into the hollow portion and are opposed to the rotor with an annular comb-like arrangement, are formed. The length of the pole teeth is determined by the length between the inner and outer yokes. Approximately 75 to 90% of the height dimension, the root width of the pole tooth is approximately 60 to 80% of the pole formation pitch, and the tip width of the pole tooth is approximately the inner and outer yoke plate thickness of approximately 6 to 80%. 0 ⁇ !
  • FIG. 1 is an external perspective view of a stepping motor according to an embodiment of the present invention
  • FIG. 2 is an exploded cross-sectional view of FIG. 1
  • FIG. 3 is a cross-sectional view of FIG. 1
  • FIG. FIG. 5 is a waveform diagram showing a waveform of a Hals signal supplied to an excitation coil
  • FIG. 6 is a table showing a rotation operation characteristic of a rotor.
  • FIG. 1] is a perspective view of the outer appearance of the stepping motor according to the embodiment of the present invention
  • FIG. 2 is an exploded sectional view showing the internal configuration of FIG. 1
  • FIG. 3 is a sectional view of FIG.
  • the steering motor according to the present embodiment includes a first and second annular stators 1 and 2, a rotor 4 having a rotating shaft 3 as a center, and a rotatably supported shaft through the rotating shaft 3. The first, the first
  • a first annular stator 1 has a first annular bobbin 12 in which a first exciting coil 11 is wound in an annular shape and has a hollow inside, and an annular shape having a through hole in the center.
  • the third annular bobbin 1′ ⁇ is disposed in a housed state between the outer and inner yokes 13 and 14, so that the outer and inner yokes 13 and 14 have the thickness of the first rectangular bobbin i2.
  • the outer and inner yokes 13 and 14 are provided with pole teeth 15 and 15 along the axial direction of the rotating shaft 3 of the rotor 4 on the periphery of each through hole. 16 are formed by a plurality of fixed hitches, and these pole teeth 15 and 1 are alternately combined in the hollow of the first annular bobbin 12 to form an annular comb-shaped arrangement. It has a row shape so that it faces the peripheral surface of the rotor 4.
  • the second annular stator 2 also has a structure similar to that of the first annular stator 1, and includes a second annular bobbin 22 having a second exciting coil 21 wound in an annular shape and having a hollow inside.
  • a cup-shaped outer work 23 formed in an annular shape having a through hole in the center, and a flat plate having a through hole in the center and arranged on the opening side of the outer yoke 23.
  • the second annular bobbin 22 is disposed in a housed state between the outer and inner yokes' 2: 5, 24, thereby forming the outer and inner yokes 2; , 24 are concentrically opposed to each other with an interval corresponding to the thickness of the second annular bobbin 22, and the rotation of the rotor 4 is also provided around the through-holes of the outer and inner yokes 2: 24.
  • Braid And has an annular comb-teeth arrangement so as to face the peripheral surface of the rotor 4.
  • the first and second annular stators 1.2 are arranged along the axis of the rotation axis' 3 of the rotor 4 so that the inner casings 14 and 24 are adjacent to each other.
  • annular stators 1 and 2 having a hollow portion S at the center
  • the rotor 4 rotates the first and second cylindrical magnets 41 and 42 made of, for example, magnets in a concentric manner and separated from each other through a magnet holder 4.
  • a plurality of magnetic poles extending in the axial direction of the rotating shaft 3 are alternately N and S at a constant pitch along the rotating direction on the peripheral surface of the first and second magnets 41, 42.
  • the magnetic pole phases in the magnets 41 and 42 match each other:
  • the rotor 4 is housed in the hollow portion S of the annular stator 1 and 2 laminates,
  • the first and second bearing plates 5 and 6 fixed to the annular stators 1 and 2 are rotatably held through first and second bearing plates 5 and 6, and the magnetic poles of the magnets 41 and 42 are connected to the inner and outer yokes 13 respectively. , 14, 2, 2, 4 oppose the pole teeth 15, 16, 25, 26 with a predetermined space (see Fig. 3) r —
  • FIG. 4 is an exploded view of the stators 1 and 2.
  • the pole teeth 15, 16, 25, and 26 are all formed in the same isosceles trapezoidal shape.
  • the length 11 in the rotation axis 3 direction to the tip of 6, 25, '26 is the length between the inner surfaces of the paired inner and outer yokes 14, 1, 1a, 24, 2, 2, ⁇ .
  • Root width in the rotating direction of the rotor 4 of the pole teeth 15, 16, 25, 26 set in the range of about 75 to 90% of the dimension H 0 and in the shape of an isosceles trapezoid Are the inner peripheral dimensions of the inner and outer yokes 14, 1, 2, 24, respectively.
  • the pole tooth forming hitches I) of the pole teeth 15, 16, 25, 26 at each of the inner and outer yokes 14, 1: 5, 24, 23 are The arrangement phases of the pole teeth 15 and 16 and the pole teeth 25 and 26 constituting each set are shifted in the direction of rotation of the 2P rotor 4, and are further shifted by ⁇ / 2P.
  • the arrangement phases of the pole teeth 15 and 16 and the pole teeth 25 and 26 (that is, the phases of the first and second stators 1 and 2) are shifted in the rotation direction of the rotor 2P. Therefore, the farthest pole tooth 1 ⁇ > and the pole tooth 26 will be displaced in the rotation direction of the rotor 4 by 1 / 4 ⁇ .
  • a drive circuit (not shown) supplies a Hals signal (voltage) having a waveform as shown in FIG. 5, for example, to the first and second excitation coils 11.2.11.
  • This Hals signal is generated by a mechanical step operation (mechanical operation) determined by the pitch ⁇ of the pole teeth 15, 16, 2, 2 of the outer and inner yokes 12, 1, 23, 24.
  • SIN and COS waveforms which are typical approximate waveforms for operating a micro-step (a rotation angle obtained by dividing a mechanical rotation angle into a predetermined number) by so-called micro-step driving
  • the micro-step drive enables the rotor 4 to rotate in the forward and reverse directions at a predetermined rotation angle determined according to the number of divisions.
  • Fixed and drive circuit By performing micro-step drive according to the measured amount of both speeds, etc., it can be used as a movement of an analog instrument
  • the value of the smoothness of 10% or less is, for example, rotation.
  • Axis The Sutetsu ping motor mounted guidance when used as a Ana port grayed formula indicating instrument for Mubume emissions Bok, Ru der which a measure (lower limit) that does not feel uncomfortable with rotation of the pointer.
  • first and second annular stators 1 and 2 are provided in combination with the first and second annular bobbins 12 and 22, and the annular stators 1 and 2 are concentrically laminated.
  • a rotor 4 having a rotating shaft 3 is rotatably supported in a hollow portion S of the body, and inner and outer yokes 14, 13, 24, 2 are respectively mounted on the first and second annular stators 1, 2.
  • Length dimension ⁇ for inner and outer yokes 14, Length between inner surfaces of 24, 23 Approximately 75% to 90% of ⁇ 0, pole teeth 15, 16, 25, 26
  • the root width W1 of the pole teeth is approximately 60 to 8 ()% of the pole tooth formation hitch ⁇ , pole teeth 15, 1 ⁇ , 25,
  • the tip width dimension W2 of 26 is approximately 60 to ⁇ 50% of the plate thickness dimension of the inner and outer yokes 14, 1, 24, and 23, the rotation of the rotor 4 is smooth.
  • the movement of the analog indicating instrument In the case of using a micro-step, it is possible to obtain a smooth and accurate rotation of the pointer without a sense of incongruity without using a deceleration mechanism. Industrial availability that can reduce the need for
  • the present invention has been described using a two-phase or four-phase permanent magnet type stepping motor as an example.
  • the present invention is not limited to this, and a single-phase or four-phase or more multi-phase permanent magnet type stepping motor is used. It can be applied to the structure of

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Stepping Motors (AREA)

Abstract

A stepping motor such that the smoothness of rotation of the rotor is improved. A first annular stator (1) is made up of an inner yoke (14), an outer yoke (13) and an annular bobbin (12) around which a coil is wound. A second annular stator (2) is made up of an inner yoke (24), an outer yoke (23) and an annular bobbin (22) around which a coil is wound. The two annular stators are joined concentrically. The rotor (4) is journaled in the hollow portion (S) in the stacked structure. Pole teeth (15, 16) each in a nearly trapezoid shape are so arranged like an annular comb, on the inner and outer yokes as to confront the rotor. Similarly pole teeth (25, 26) each in a nearly trapezoid shape are so arranged like an annular comb on the inner and outer yokes as to confront the rotor. The height (H) of each pole tooth is 75 to 90 % of the distance (HO) between the inner side surface of the inner yoke and the inner side surface of the outer yoke. The width (W1) of the root of each pole tooth is 60 to 80 % of the pitch (P) of the pole teeth. The width (W2) of the end of each pole tooth is 60 to 150 % of the thickness (T) of the inner and outer yokes.

Description

明 細 書 ステッ ピングモータ 技術分野  Description Stepping motor Technical field
本発明は、 いわゆる永久磁石型のステッピングモータに関し、 特にァ ナログ式指示計器のム一ブメントと して有用なステッビングモータに関 するものである。 背景技術  The present invention relates to a so-called permanent magnet type stepping motor, and more particularly to a stepping motor useful as a movement of an analog indicating instrument. Background art
従来より Ο Λ機器、 家電製品、 自動車等の分野におけるァクチユエ一 タ部品と して、 広く用いられている構造に永久磁石型のステッヒングモ —タがあり、 多くは励磁コイルとヨークを組み合わせてなる環状ステー タと、 この環状ステ一タの中空内に配置され回転自在に軸支される永久 磁石からなるロータとを備え、 環状ステ一タと対向するロータの周面に は、 複数の磁極が N, S交互に一定ピッチで着磁され、 また環状ステー タには、 ヨークからその中空内に延長し一定ピツチで環状櫛歯型の配列 をもってロータの磁極と対向する複数の極歯が形成され、 励磁コィルに パルス信号を供給することにより極歯を含むヨークを磁化させ、 極歯と ロータの磁極との間の磁気作用により ロータを所定の回転角度ずつ回転 動作させるもので、 小型ながら高い駆動 トルクが得られる等、 種々の利 点を有しいることから、 近年では例えば速度計やエンジン回転計といつ たアナ口グ式指示計器のムーブメン トと しても注目されている  Conventionally, permanent magnet-type stepping motors have been widely used as actuator parts in the fields of equipment, home appliances, automobiles, etc. A stator and a rotor composed of a permanent magnet rotatably supported in the hollow of the annular stator, and a plurality of magnetic poles are provided on a peripheral surface of the rotor facing the annular stator. , S are alternately magnetized at a constant pitch, and the annular stator is formed with a plurality of pole teeth extending from the yoke into the hollow and facing the rotor magnetic poles in an annular comb-shaped arrangement with a constant pitch. A yoke including pole teeth is magnetized by supplying a pulse signal to the excitation coil, and the rotor is rotated by a predetermined rotation angle by a magnetic action between the pole teeth and the magnetic poles of the rotor. In addition, since it has various advantages such as high driving torque can be obtained despite its small size, in recent years, it has been attracting attention as a movement for an analog indicating instrument such as a speedometer or an engine tachometer. Is
ところで、 この種ステッビングモータをアナ口グ式指示計器のム一ブ メ ン トと して用いる場合、 ロータと指針と回転軸を通じて連結固定し、 指針と連動するロータを計測量に応じたパルス信号供給にて駆動すれば よい力;、 ステ ッピングモータは、 極歯のヒ ッチに応じて口一タをステツ プ動作させるため、 ロータに連結された指針による計測量の指示動作も 必然的にステップ的 =間欠的なものとなって違和感のある動作をしてし まう。 このため、 ステッピングモータを計器のムーブメン トと して使用 するに際しては、 特開平 6 — 3 8 4 9 7号公報に示されているように、 ロータの回転軸と指針とを直接連結するのを避け、 これらの間に複数の 歯車からなる減速機構を介在させるものや、 特開平 6 — 8 2 2 7 1 号公 報に示されているよ うに、 正弦波に近似した階段波形のパルス信号 (電 圧) を各励磁コイルに与えてロータを細かく ステッブ駆動させるいわゆ るマイ ク ロステツプ駆動が提案されている By the way, when this type of stepping motor is used as a moving element of an analog indicating indicator, it is connected and fixed through a rotor, a pointer and a rotating shaft, and the rotor linked with the pointer is pulsed according to the measured amount. The force that can be driven by signal supply; the stepping motor also performs the operation of instructing the measured amount by the pointer connected to the rotor because the stepper motor steps the mouth according to the pole tooth hitch. Inevitably, it becomes step-wise = intermittent and behaves strangely. For this reason, when using a stepping motor as a movement of an instrument, as shown in JP-A-6-38497, it is necessary to directly connect the rotating shaft of the rotor and the pointer. Avoid using a speed reduction mechanism consisting of a plurality of gears between them, or as shown in JP-A-6-82271, a staircase-like pulse signal ( Voltage) is applied to each excitation coil to finely step-drive the rotor, so-called micro-step driving has been proposed.
しかしながら、 前者の減速機構を用いるものは、 モータ自体が大型化 することに加え、 部品点数が增加して組み付け性も悪く生産性の面で不 利であり、 また、 減速機構の採用に伴うバックラ ッシュ等の問題も懸念 される 一方、 後者のマイ ク ロステップ駆動によるものは、 口一タを所 定の分割数に細かく ステップ駆動するこ とで、 ロータ (指針) の間欠的 な動作を目視にて違和感が生じない程度まで緩和することは可能である 力;、 ロータの磁極と極歯を含むヨークとの間で各ステップ毎に形成され る磁気回路のアンバランス等に起因して、 各ステップ毎におけるロータ の回転角速度にバラツキが生じやすく、 ロータ動作のスムーズ性という 点では十分ではなく、 十分なスムーズ性を確保するためには、 励磁コィ ルに与えるパルス信号の波形自体をロータ動作に応じて修正する必要が あった  However, the former using the speed reduction mechanism is disadvantageous in terms of productivity because the motor itself becomes larger and the number of parts increases, which is disadvantageous in terms of productivity. On the other hand, there are concerns about problems such as brushing. On the other hand, in the latter micro-step drive, the intermittent operation of the rotor (pointer) is visually observed by finely step-driving the mouth to a predetermined number of divisions. It is possible to alleviate the force to a level that does not cause discomfort due to the force; due to the imbalance of the magnetic circuit formed at each step between the magnetic pole of the rotor and the yoke including the pole teeth, etc. The rotational angular velocity of the rotor tends to vary at each step, and the smoothness of the rotor operation is not sufficient.To ensure sufficient smoothness, the excitation coil must be Need to correct the pulse signal waveform itself according to the rotor operation
本発明はこれらの点に鑑みてなされたもので、 その目的は、 ヨークの 極歯構造を工夫することにより、 ロータ自体の回転動作のスムーズ性を 高め、 アナ口グ式指示計器のムーブメ ン 卜と して用いる場合にあっては、 減速機構を介せずと も違和感のない指針の回転動作を得ることができ、 またマイク ロステップ駆動時には、 駆動信号波形の修正をほとんど必要 と しないステッビングモータを提供せんとするものである 発明の開示 本発明は、 2組の各内, 外ヨーク と、 第〗 , 第 2の励磁コイルの各々 が卷回された第】 , 第 2の環状ボビンとを組み合わせて第〗 , 第 2 の環 状ステ一タを設け、 この環状ステータを同心的に積層してなる積層体の 中空部内に回転軸を有するロータを回転自在に軸支し、 第 1 , 第 2の環 状ステ一タの各々に内, 外ヨークから中空部内に複数延設され互いに環 状櫛歯型の配列をもってロータと対向する略台形の極歯を形成し、 この 極歯の長さ寸法を内, 外ヨークの內側面間長さ寸法の略 7 5〜 9 0 %、 極歯の根本幅寸法を極歯形成ピツチの略 6 0〜 8 0 %、 極歯の先端幅寸 法を内,外ヨークの板厚寸法の略 6 0〜 ! 5 () %に設定することにより、 ロータの回転動作のスムーズ性が高まり、 またアナログ式指示計器のム 一ブメン 卜と して用いる場合にあっては、 減速機構を介せずと も違和感 がなく スムーズで且つ精度の高い指針の回転動作が得られ、 またマイク ロステツプ駆動時には、 駆動信号波形の修正がほとんど必要なくなる . 図面の簡単な説明 The present invention has been made in view of these points, and its purpose is to improve the smoothness of the rotation operation of the rotor itself by devising the pole teeth structure of the yoke, and to move the analog-to-analog indicating instrument. In this case, it is possible to obtain the rotation of the pointer without feeling uncomfortable without using a deceleration mechanism, and when micro-step driving, stepping that requires almost no modification of the drive signal waveform DISCLOSURE OF THE INVENTION Which Does Not Provide a Motor The present invention provides a combination of two sets of inner and outer yokes, and first and second annular bobbins on which first and second excitation coils are wound, respectively. A rotor having a rotating shaft is rotatably supported in a hollow portion of a laminated body formed by concentrically laminating the annular stators, and the rotor is rotatably supported in each of the first and second annular stators. A plurality of pole teeth, which extend from the outer yoke into the hollow portion and are opposed to the rotor with an annular comb-like arrangement, are formed. The length of the pole teeth is determined by the length between the inner and outer yokes. Approximately 75 to 90% of the height dimension, the root width of the pole tooth is approximately 60 to 80% of the pole formation pitch, and the tip width of the pole tooth is approximately the inner and outer yoke plate thickness of approximately 6 to 80%. 0 ~! By setting (5)%, the smoothness of the rotation operation of the rotor is improved, and when used as a movement of an analog indicating instrument, a sense of discomfort can be felt even without a reduction gear mechanism. A smooth and highly accurate rotation of the pointer can be obtained without any need for correction of the drive signal waveform during micro-step driving.
第 1 図は、 本発明の実施例に係るステツヒ ングモータの外観斜視図、 第 2図は第 1 図の分解断面図、 第 3図は第 1 図の断面図、 第 4図はステー タの展開図、 第 5図は励磁コィルに供給されるハルス信号波形を示す波 形図、 第 6図はロータの回転動作特性を示す図表である 発明を実施するための最良の形態 1 is an external perspective view of a stepping motor according to an embodiment of the present invention, FIG. 2 is an exploded cross-sectional view of FIG. 1, FIG. 3 is a cross-sectional view of FIG. 1, and FIG. FIG. 5, FIG. 5 is a waveform diagram showing a waveform of a Hals signal supplied to an excitation coil, and FIG. 6 is a table showing a rotation operation characteristic of a rotor.
以下、 添付図面に基づいて本発明の実施例を説明する,  Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings.
図 ] は、 本発明の実施例によるステツヒングモータの外観斜視図、 図 は図 1 の内部構成を示す分解断面図、 図 3は組み付け状態を示す図 1 の断面図であり、 特に図 1, 図 2において本実施例によるステツ ヒ ング モータは、 概ね第 1, 第 2の環状ステ一タ 1, 2 と、 回転軸 3を中心に 備えるロータ 4 と、 このロータ 4を回転軸 3を通じて軸支する第 1 , 第 FIG. 1] is a perspective view of the outer appearance of the stepping motor according to the embodiment of the present invention, FIG. 2 is an exploded sectional view showing the internal configuration of FIG. 1, and FIG. 3 is a sectional view of FIG. In FIG. 2, the steering motor according to the present embodiment includes a first and second annular stators 1 and 2, a rotor 4 having a rotating shaft 3 as a center, and a rotatably supported shaft through the rotating shaft 3. The first, the first
2 の軸受フ レー ト 5, 65よりなる 図 2 において、 第 1 の環状ステータ 1 は、 第 1 の励磁コィル 1 1が環 状に巻回され且つ内部が中空の第 1 の環状ボビン 1 2 と、 中央に貫通孔 を有して円環状に形成された力ッフ状の外ヨーク 1 3 と、 この外ヨーク 1 3の開口側に配置され中央に貫通孔を有して円環平板状に形成された 内ヨーク 】 4 と力、らなり、 第】 の環状ボビン 1 'λは外, 内ヨーク 1 3, 1 4間に収納状態で配置され、 これにより外, 内ヨーク 1 3, 1 4は第 1 の澴状ボビン i 2の厚み寸法ぶんの間隔をもって互い同心的に対向配 置される また、 外, 内ヨーク 1 3, 1 4の各貫通孔周縁には、 ロータ 4の回転軸 3の軸方向に沿って極歯 1 5, 1 6が複数一定ヒ ッチで形成 され、 これら極歯 1 5, 1 は、 第 1 の環状ボビン 1 2 の中空内で互い 違いに組み合わされ、 環状櫛歯型の配列形状をもってロータ 4の周面に 対向するよ うになっている Consists of two bearing flats 5, 65 In FIG. 2, a first annular stator 1 has a first annular bobbin 12 in which a first exciting coil 11 is wound in an annular shape and has a hollow inside, and an annular shape having a through hole in the center. A force-shaped outer yoke 13 formed on the inner yoke 13 and an inner yoke disposed on the opening side of the outer yoke 13 and having a through-hole in the center and formed in an annular flat plate shape] 4 And the third annular bobbin 1′λ is disposed in a housed state between the outer and inner yokes 13 and 14, so that the outer and inner yokes 13 and 14 have the thickness of the first rectangular bobbin i2. The outer and inner yokes 13 and 14 are provided with pole teeth 15 and 15 along the axial direction of the rotating shaft 3 of the rotor 4 on the periphery of each through hole. 16 are formed by a plurality of fixed hitches, and these pole teeth 15 and 1 are alternately combined in the hollow of the first annular bobbin 12 to form an annular comb-shaped arrangement. It has a row shape so that it faces the peripheral surface of the rotor 4.
第 2 の環状ステータ 2 も第 1 の環状ステ一タ 1 と同様な構造を有し、 第 2の励磁コイル 2 1 が環状に巻回され且つ内部が中空の第 2の環状ボ ビン 2 2 と、 中央に貫通孔を有して円環状に形成されたカ ップ状の外ョ —ク 2 3 と、 この外ヨーク 2 3 の開口側に配置され中央に貫通孔を有し て平板状に形成された内ョ一ク 2 4 とからなり、 第 2 の環状ボビン 2 2 は外, 内ヨーク ' 2 :5, 2 4間に収納状態で配置され、 これにより外, 内 ヨー ク 2 :;, 2 4は第 2 の環状ボビン 2 2 の厚 寸法ぶんの間隔をもつ て互いに同心的に対向配置される また、 外, 内ヨーク 2 : 2 4 の各 貫通孔周縁にも、 ロータ 4の回転軸: 3 の軸方向に沿って極齿 2 5, 2 β が複数一定ヒ ッチで形成され、 これら極歯 2 5 , 2 6は、 第 2の環状ボ ビン 2 2の中空内で互い違いに組み合わされ、 環状櫛歯型の配列形状を もってロータ 4の周面に対向するようになっている  The second annular stator 2 also has a structure similar to that of the first annular stator 1, and includes a second annular bobbin 22 having a second exciting coil 21 wound in an annular shape and having a hollow inside. A cup-shaped outer work 23 formed in an annular shape having a through hole in the center, and a flat plate having a through hole in the center and arranged on the opening side of the outer yoke 23. The second annular bobbin 22 is disposed in a housed state between the outer and inner yokes' 2: 5, 24, thereby forming the outer and inner yokes 2; , 24 are concentrically opposed to each other with an interval corresponding to the thickness of the second annular bobbin 22, and the rotation of the rotor 4 is also provided around the through-holes of the outer and inner yokes 2: 24. Axes: A plurality of poles 齿 25, 2 β are formed with a plurality of constant hitches along the axial direction of 3, and these pole teeth 25, 26 are alternately arranged in the hollow of the second annular bobbin 22. Braid And has an annular comb-teeth arrangement so as to face the peripheral surface of the rotor 4.
そして、 これら第 1 , 第 2の環状ステ一タ 1 . 2は、 各内ョ一ク 1 4 , 2 4がが互いに隣接するよう、 ロータ 4の回転軸 '3の軸方向に沿つて互 いに同心的に積層配置され、 図 3に示すように、 中心に中空部 Sを備え る環状ステータ 1 , 2積層体を構成する ロータ 4は、 この実施例では例えばフヱライ 卜磁石からなる円筒状の 第 1 , 第 2のマグネッ ト 4 1, 4 2の各々を、 マグネッ トホルダー 4 : を通じて同心的且つ互いに離間状態に回転軸 3に固定してなり、 第 1, 第 2のマグネッ ト 4 1, 4 2 の周面には、 回転軸 3の軸方向に伸びる複 数の磁極が回転方向に沿って一定ピッチで N, S交互に着磁され、 各マ グネッ 卜 4 1, 4 2における磁極位相は、 互いに一致するようになつて いる: The first and second annular stators 1.2 are arranged along the axis of the rotation axis' 3 of the rotor 4 so that the inner casings 14 and 24 are adjacent to each other. As shown in Fig. 3, annular stators 1 and 2 having a hollow portion S at the center In this embodiment, the rotor 4 rotates the first and second cylindrical magnets 41 and 42 made of, for example, magnets in a concentric manner and separated from each other through a magnet holder 4. A plurality of magnetic poles extending in the axial direction of the rotating shaft 3 are alternately N and S at a constant pitch along the rotating direction on the peripheral surface of the first and second magnets 41, 42. The magnetic pole phases in the magnets 41 and 42 match each other:
そして、 このロータ 4は、 環状ステータ 1, 2積層体の中空部 S内に 収納され、  The rotor 4 is housed in the hollow portion S of the annular stator 1 and 2 laminates,
各環状ステータ 1, 2に固定される第 1 , 第 2の軸受フ レー ト 5 , 6を 通じて回転自在に保持され、 各マグネッ ト 4 1, 4 2 の磁極が各内, 外 ヨーク 1 3, 1 4, 2 , 2 4の極歯 1 5, 1 6 , 2 5, 2 6 に所定空 間を隔てて対向する (図 3参照) rThe first and second bearing plates 5 and 6 fixed to the annular stators 1 and 2 are rotatably held through first and second bearing plates 5 and 6, and the magnetic poles of the magnets 41 and 42 are connected to the inner and outer yokes 13 respectively. , 14, 2, 2, 4 oppose the pole teeth 15, 16, 25, 26 with a predetermined space (see Fig. 3) r
図 4 はステータ 1, 2の展開図であり、 同図において、 各極歯 1 5 , 1 6, 2 5 , 2 6は、 すべて同一の二等辺台形形状に形成されており、 第 1 , 第 2 の環状ステ一タ 1, 2において互いに対をなして向き合う内, 外ヨーク 】 4 , 1 3 と内, 外ヨーク 2 4. 2 3 の各内側面を基準と した 各極歯 1 5, 1 6 , 2 5 , '2 6の先端までの回転軸 3方向の長さ寸法 11 は、 各々対をなす内, 外ヨーク 1 4, 1 a , 2 4 , 2 , Ίの内側面間の長 さ寸法 H 0のおよそ 7 5〜 9 0 %の範囲内に設定され、 また二等辺台形 形状と した極歯 1 5, 1 6 , 2 5, 2 6のロータ 4の回転方向の根本幅 寸法 W 1 は、 各内, 外ヨーク 1 4, 1 . 2 4, 2 3の内周寸法しを各 内, 外ヨーク 】 4, 1 3 , 2 4, 2 3における極歯 1 5, 1 β , 2 5 , 2 の枚数 η にて除算して得られる極歯 1 5 , 1 6 , 2 5 , 2 6 の形成 ヒ ッチ (極歯形成ヒ ッチ) IJ (極歯形成ヒ ッチ 1) = L / n ) のおよそ略 6 0〜 8 0 %の範囲内に設定され、 さらに、 二等辺台形形状と した極歯 1 5, 1 6, 2 5, 2 6のロータ 4の回転方向の先端幅寸法 W 2は、 各 内, 外ヨーク 1 4 , 1 *3 , 2 4, 2 3の板厚寸法 Tの 6 0〜】 5 0 %の 範囲内に設定されており、 この場合、 各内, 外ヨーク 1 4 , 1 :5, 2 4, 2 3における極歯 1 5, 1 6, 2 5, 2 6の極歯形成ヒッチ I)はすべて 等しく一定であり、 各組みを構成する極歯 1 5, 1 6 と極歯 2 5 , 2 6 の配列位相は】 ノ 2 Pロータ 4の回転方向にずれていて、 さらに 〗 / 2 Pずれた極歯 1 5, 1 6 と極歯 2 5, 2 6の各配列位相 (即ち第 1 , 第 2のステータ 1 , 2の位相) は〗 ノ 2 Pロータ 4の回転方向にずれてお り、 従って最も離れた極歯 1 Γ> と極歯 2 6 とは、 1 / 4 Ρ分ロータ 4の 回転方向にずれていることになる FIG. 4 is an exploded view of the stators 1 and 2. In FIG. 4, the pole teeth 15, 16, 25, and 26 are all formed in the same isosceles trapezoidal shape. The inner and outer yokes facing each other in pairs in the annular stators 1 and 2], 4 and 13 and the pole teeth 15 and 1 based on the inner surfaces of the inner and outer yokes 2.4.23. The length 11 in the rotation axis 3 direction to the tip of 6, 25, '26 is the length between the inner surfaces of the paired inner and outer yokes 14, 1, 1a, 24, 2, 2, Ί. Root width in the rotating direction of the rotor 4 of the pole teeth 15, 16, 25, 26 set in the range of about 75 to 90% of the dimension H 0 and in the shape of an isosceles trapezoid Are the inner peripheral dimensions of the inner and outer yokes 14, 1, 2, 24, respectively. The pole teeth 15, 1 β, 25 at the inner, outer yokes] 4, 13, 24, 23 The formation hitch of the pole teeth 15, 16, 25, 26 obtained by dividing by the number η of Is set within a range approximate approximately 6 0-8 0% of the tooth forming arsenide pitch) I J (teeth formed arsenate pitch 1) = L / n), further, the pole teeth 1 5 was isosceles trapezoid , 16, 25, and 26, the tip width dimension W 2 of the rotor 4 in the rotation direction is 60 to 90 mm of the thickness T of the inner and outer yokes 14, 1 * 3, 24, and 23. 50% In this case, the pole tooth forming hitches I) of the pole teeth 15, 16, 25, 26 at each of the inner and outer yokes 14, 1: 5, 24, 23 are The arrangement phases of the pole teeth 15 and 16 and the pole teeth 25 and 26 constituting each set are shifted in the direction of rotation of the 2P rotor 4, and are further shifted by〗 / 2P. The arrangement phases of the pole teeth 15 and 16 and the pole teeth 25 and 26 (that is, the phases of the first and second stators 1 and 2) are shifted in the rotation direction of the rotor 2P. Therefore, the farthest pole tooth 1Γ> and the pole tooth 26 will be displaced in the rotation direction of the rotor 4 by 1 / 4Ρ.
かかる構成からなる本実施例のステツヒ ングモータは、 図示しない駆 動回路が第 1 , 第 2の励磁コイル 1 1 . 2 1 に、 例えば図 5に示すよう な波形のハルス信号 (電圧) を供給することにより駆動されるもので、 このハルス信号は、 外, 内ヨーク 1 2, 1 , 2 3 , 2 4の極歯 1 5 , 1 6, 2 , 2 のピッチ Ρで定まる機械的ステップ動作 (機械的な回 転角) をいわゆるマイ クロステップ駆動によって微細ステツフ (機械的 な回転角を所定数分割して得られろ回転角づつ) 動作させるための典型 的な近似波形となる S I N, C O S波形の信号であり、 このよ うなマイ クロステ ップ駆動により ロータ 4は、 分割数に応じて定 る所定の回転 角づっ正逆方向に回転することが可能 なる そして、 回転軸: 3に図示 しない指針を固定すると共に駆動回路が車両の速度等の計測量に応じた マイクロステツブ駆動を行えば、 アナ口グ式計器のムーブメ ン トと して 使用することができる  In the stepping motor of this embodiment having such a configuration, a drive circuit (not shown) supplies a Hals signal (voltage) having a waveform as shown in FIG. 5, for example, to the first and second excitation coils 11.2.11. This Hals signal is generated by a mechanical step operation (mechanical operation) determined by the pitch Ρ of the pole teeth 15, 16, 2, 2 of the outer and inner yokes 12, 1, 23, 24. SIN and COS waveforms, which are typical approximate waveforms for operating a micro-step (a rotation angle obtained by dividing a mechanical rotation angle into a predetermined number) by so-called micro-step driving The micro-step drive enables the rotor 4 to rotate in the forward and reverse directions at a predetermined rotation angle determined according to the number of divisions. Fixed and drive circuit By performing micro-step drive according to the measured amount of both speeds, etc., it can be used as a movement of an analog instrument
こ こで、 各内, 外ヨーク 1 4 , 1 3 , 2 4 , 2 .Ίにおける極歯 1 5, 1 , 2 5 , 2 6形状を上記のごと く、寸法 11 =寸法 H () X 7 5 9 0 % 寸法 W 1 =極歯ヒッチ P X 6 0 8 () %、 寸法 W '2 板厚 T X 6 0 1 5 () %の範囲内に設定した理由について説明する と、 この形状 (寸法) 設定は、 ロータ 4をスムーズに回転動作させるために、 各寸法 ti, H 0 , W 1 , W 2の異なる複数種の内, 外ヨーク 1 4 , 1 3 , 2 4, 2 3を用 意し、 これらの各組み合わせを実験にて比較検証することにより得られ たものであり、 かかる実験によると、 図 6に示すよ うに、 ロータ 4の回 転特性は、極歯 1 5 , 1 6 , 2 5 , 2 6の形状を H = H 0 X 7 5〜 9 0 %, W 1 = I) X 6 0〜 8 0 %, W 2 = T X 6 ()〜 1 5 0 %と したとき、 スム —ズ性が ] 0 %以下となることが分かった すなわち図 6中、 縦軸にて 示したスムーズ性 (%) とは、 実験により回転軸 3に光学式ロータ リー エンコーダを固定して指針の (回転) 角速度 ( d e g / s e c ) を計測 するようにし、 指針 (ロータ 4 ) 一周当たりの角速度の平均 (この値を Aとする) と、 指針】 周中の角速度の分布の σ (標準偏差値) (この値 を Βとする) とを求め、 計算式 :値 ΒΖ値 Λ X 〗 () 0にて算出される値 であり、 この値 (%) 力;小さレ、ほどスム一ズ性が高くなる そしてスム 一ズ性 1 0 %以下という値は、 例えば回転軸 に指針を装着してステツ ピングモータをアナ口グ式指示計器用ムーブメ ン 卜 と して使用する際 に、 指針の回転動作に違和感を感じない目安 (下限値) となるものであ る. Here, the shape of the pole teeth 15, 1, 25, 26 at each of the inner and outer yokes 14, 13, 24, 2. 590% Dimension W 1 = Pole Tooth Hitch PX 608 ()%, Dimension W '2 Thickness TX 6 0 15 ()% In order to make the rotor 4 rotate smoothly, prepare several types of inner and outer yokes 14, 13, 24, 23 with different dimensions ti, H 0, W 1, W 2. Can be obtained by comparing and verifying each of these combinations in experiments. According to such an experiment, as shown in FIG. 6, the rotation characteristics of the rotor 4 were such that the shapes of the pole teeth 15, 16, 25, and 26 were H = H 0 X 75 to 9. 0%, W 1 = I) X 60 to 80%, W 2 = TX 6 () to 150%, the smoothness was found to be less than 0%. The smoothness (%) shown on the middle and vertical axes means that the (rotation) angular velocity (deg / sec) of the pointer is measured by fixing an optical rotary encoder to the rotating shaft 3 through experiments. Rotor 4) Calculate the average angular velocity per rotation (this value is A) and the guideline: σ (standard deviation value) of the angular velocity distribution during the rotation (this value is 、). ΒΖValue Λ X〗 () This value is calculated using (0). This value (%) Power: The smaller the force, the higher the smoothness becomes. And the value of the smoothness of 10% or less is, for example, rotation. Axis The Sutetsu ping motor mounted guidance when used as a Ana port grayed formula indicating instrument for Mubume emissions Bok, Ru der which a measure (lower limit) that does not feel uncomfortable with rotation of the pointer.
以上のように、 本実施例は、 2組の各内, 外ヨーク 〗 4, 〗 3, 2 4, 2 3 と、 第 1 , 第 2の励磁コィノレ 1 1, 1 2の各々が卷回された第 1, 第 2の環状ボビン 1 2, 2 2 とを組み合わせて第 1 , 第 2の環状ステー タ 1 , 2 を設け、 この環状ステ一タ 1 , 2 を同心的に積層してなる積層 体の中空部 S内に回転軸 3を有するロータ 4を回転自在に軸支し、第 1 , 第 2の環状ステータ 1 , 2の各々に内, 外ヨーク 1 4 , 1 3 , 2 4 , 2 3から中空部 S内に複数延設され互いに環状櫛歯型の配列をもって口一 タ 4 と対向する略台形の極歯 1 5, 1 6, 2 5 , 2 6を形成し、 この極 歯の長さ寸法 Ηを内, 外ヨーク 1 4, 〗 : 2 4 , 2 3の内側面間長さ 寸法 Η 0の略 7 5〜 9 0 %、 極歯 1 5 , 1 6 , 2 5 , 2 6の根本幅寸法 W 1 を極歯形成ヒッチ Ρの略 6 0〜 8 () %、 極歯 1 5, 1 β , 2 5, 2 6の先端幅寸法 W 2を内, 外ヨーク 1 4 , 1 , 2 4 , 2 3の板厚寸法 の略 6 0〜 】 5 0 %に設定することにより、 ロータ 4の回転動作のスム ―ズ性を高めることができ、 またアナ口グ式指示計器のム一ブメン 卜と して用いる場合にあっては、 減速機構を介せずと も違和感がなく スム一 ズで且つ精度の高い指針の回転動作を得ることができ、 またマイク ロス テップ駆動時には、 駆動信号波形の修正の必要をほとんどなくすること ができる 産業上の利用可能性 As described above, in this embodiment, two sets of inner and outer yokes〗 4,〗 3, 24, 23 and the first and second excitation coils 11, 12 are wound. The first and second annular stators 1 and 2 are provided in combination with the first and second annular bobbins 12 and 22, and the annular stators 1 and 2 are concentrically laminated. A rotor 4 having a rotating shaft 3 is rotatably supported in a hollow portion S of the body, and inner and outer yokes 14, 13, 24, 2 are respectively mounted on the first and second annular stators 1, 2. A plurality of pole teeth 15, 16, 25, 26, which extend in the hollow part S from 3 and are opposed to the mouth 4 with an annular comb shape arrangement, are formed. Length dimension 内 for inner and outer yokes 14, :: Length between inner surfaces of 24, 23 Approximately 75% to 90% of Η0, pole teeth 15, 16, 25, 26 The root width W1 of the pole teeth is approximately 60 to 8 ()% of the pole tooth formation hitch Ρ, pole teeth 15, 1β, 25, By setting the tip width dimension W2 of 26 to approximately 60 to】 50% of the plate thickness dimension of the inner and outer yokes 14, 1, 24, and 23, the rotation of the rotor 4 is smooth. And the movement of the analog indicating instrument In the case of using a micro-step, it is possible to obtain a smooth and accurate rotation of the pointer without a sense of incongruity without using a deceleration mechanism. Industrial availability that can reduce the need for
以上のように、 本発明は、 2相もしくは 4相の永久磁石型ステツピン グモータを例にして説明してきたが、 これに限らず単相もしくは 4相以 上の多相の永久磁石型ステッビングモータの構造と しても適用が可能で ある-  As described above, the present invention has been described using a two-phase or four-phase permanent magnet type stepping motor as an example. However, the present invention is not limited to this, and a single-phase or four-phase or more multi-phase permanent magnet type stepping motor is used. It can be applied to the structure of

Claims

請 求 の 範 囲 The scope of the claims
1 . 環状に卷回した第 1 の励磁コィルの磁路を形成すべく互いに所定間 隔を隔てて同心的に対向する環状の内ヨーク及び外ヨークからなる第 1 の環状ステータと、 環状に卷回した第 2の励磁コイルの磁路を形成すベ く互いに所定間隔を隔てて同心的に対向すろ環状の内ョ一ク及び外ョ一 クからなる第 2 の環状ステ一タと、 これら第 1 , 第 2 の環状ステータを 前記各内ヨークどう しが隣接するよう同心的に積層することによ り形成 されるステータ積層体の中空部内で回転軸を通じて回転自在に軸支され る永久磁石からなるロータとを備え、 前記第 1 , 第 2 の環状ステータの 各々に前記内, 外ヨークから前記ロータの軸方向に沿って前記中空部内 に複数延設され且つ互いに環状櫛歯型の配列をもって前記ロータ と対向 する略台形の極齒を形成し、 前記第 1 , 第 2の環状ステ一タにおいて互 いに向き合う前記内, 外ヨークの内側面を基準と した前記極歯の先端ま での前記軸方向の長さ寸法を、 対向する内, 外ヨークの内側面間長さ寸 法の略 7 5〜 9 0 %に設定すると共に、 略台形となした前記極歯の前記 ロータの回転方向に沿った根本幅寸法および先端幅寸法の各々 について、 前記根本寸法を各内, 外ヨークにおける極歯形成ヒ ツチの略 6 0〜 8 () %、 前記先端幅寸法を各內, 外ヨークの板厚寸法の 6 ()〜 1 5 0 %に 設定したことを特徴とするステツヒ ングモータ 1. A first annular stator comprising an annular inner yoke and an outer yoke concentrically opposed to each other at a predetermined interval so as to form a magnetic path of a first exciting coil wound annularly; A second annular stator consisting of an inner ring and an outer ring which are concentrically opposed to each other at a predetermined interval so as to form a magnetic path of the rotated second excitation coil; The first and second annular stators are concentrically stacked so that the inner yokes are adjacent to each other. The permanent magnets are rotatably supported through a rotating shaft in a hollow portion of a stator laminate formed by a rotating shaft. A plurality of rotors each extending from the inner and outer yokes in the hollow portion along the axial direction of the rotor on each of the first and second annular stators. The substantially trapezoidal pole teeth facing the rotor The axial lengths up to the tip of the pole teeth with respect to the inner surfaces of the inner and outer yokes facing each other in the first and second annular stators are opposed to each other. It is set to approximately 75 to 90% of the length between the inner surfaces of the inner and outer yokes, and the root width and tip width of the substantially tooth-shaped pole teeth along the rotation direction of the rotor are set. In each case, the root dimension is about 60 to 8 ()% of the pole tooth forming hit in each of the inner and outer yokes, the tip width is each 內, and the thickness of the outer yoke is 6 () to 150 (50). %, Which is set to%
PCT/JP1997/001701 1996-07-26 1997-05-20 Stepping motor WO1998005114A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP8/196821 1996-07-26
JP19682196A JPH1042541A (en) 1996-07-26 1996-07-26 Stepping motor

Publications (1)

Publication Number Publication Date
WO1998005114A1 true WO1998005114A1 (en) 1998-02-05

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WO (1) WO1998005114A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101017990B (en) * 2006-02-08 2011-06-22 株式会社电装 Motor with Simplified Structure

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101121674B1 (en) * 2009-12-15 2012-02-28 엘지이노텍 주식회사 Step motor
JP6463646B2 (en) * 2015-02-26 2019-02-06 日本電産サンキョー株式会社 Stepping motor

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH01136553A (en) * 1987-11-20 1989-05-29 Sanyo Electric Co Ltd Stepping motor
JPH089621A (en) * 1994-06-16 1996-01-12 Nippondenso Co Ltd Stepping motor
JPH08205510A (en) * 1995-01-23 1996-08-09 Seiko Epson Corp Stepping motor
JPH0928072A (en) * 1995-07-12 1997-01-28 Minebea Co Ltd Motor structure

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH01136553A (en) * 1987-11-20 1989-05-29 Sanyo Electric Co Ltd Stepping motor
JPH089621A (en) * 1994-06-16 1996-01-12 Nippondenso Co Ltd Stepping motor
JPH08205510A (en) * 1995-01-23 1996-08-09 Seiko Epson Corp Stepping motor
JPH0928072A (en) * 1995-07-12 1997-01-28 Minebea Co Ltd Motor structure

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101017990B (en) * 2006-02-08 2011-06-22 株式会社电装 Motor with Simplified Structure

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