JPH1137103A - Calculation of valve opening in electropneumatic positioner - Google Patents
Calculation of valve opening in electropneumatic positionerInfo
- Publication number
- JPH1137103A JPH1137103A JP19828297A JP19828297A JPH1137103A JP H1137103 A JPH1137103 A JP H1137103A JP 19828297 A JP19828297 A JP 19828297A JP 19828297 A JP19828297 A JP 19828297A JP H1137103 A JPH1137103 A JP H1137103A
- Authority
- JP
- Japan
- Prior art keywords
- valve
- calculated
- angle sensor
- vertical distance
- control valve
- 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.)
- Granted
Links
Landscapes
- Fluid-Driven Valves (AREA)
- Supply Devices, Intensifiers, Converters, And Telemotors (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】この発明は、入力電気信号を
空気圧に変換する電空変換部を有し、その変換した空気
圧で流体の流れる通路を開閉する調節弁の弁開度を制御
する電空ポジショナの弁開度算定方法に関するものであ
る。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention has an electropneumatic converter for converting an input electric signal into pneumatic pressure, and controls the valve opening of a control valve that opens and closes a passage through which fluid flows with the converted air pressure. The present invention relates to a method for calculating a valve opening of a positioner.
【0002】[0002]
【従来の技術】空気圧サーボ機構の一種であるポジショ
ナの機能と電空変換器を合わせ持つ電空ポジショナにお
いては、調節弁の弁軸と角度センサとの間に連結された
フィードバックレバーを備え、弁軸のリフト位置に応じ
たフィードバックレバーの回転角度変化を角度センサで
検出し、この角度センサの検出々力から調節弁の実開度
を算定するようにしている。2. Description of the Related Art An electropneumatic positioner having a function of a positioner which is a kind of pneumatic servo mechanism and an electropneumatic converter is provided with a feedback lever connected between a valve shaft of a control valve and an angle sensor. A change in the rotation angle of the feedback lever according to the lift position of the shaft is detected by an angle sensor, and the actual opening of the control valve is calculated from the detected force of the angle sensor.
【0003】図2に電空ポジショナの角度センサと調節
弁との配置関係を示す。同図において、1は調節弁、2
は電空ポジショナの角度センサ(位置センサ)であり、
調節弁1は駆動部1Aと弁軸1Bと弁1Cとを備えてい
る。駆動部1Aは、ダイアフラムを有してなり、電空ポ
ジショナの図示せぬ電空変換部からの導入空気圧に応じ
弁軸1Bを上下動させて、弁1Cの開度を調整する。FIG. 2 shows an arrangement relationship between an angle sensor of an electropneumatic positioner and a control valve. In the figure, 1 is a control valve, 2
Is an angle sensor (position sensor) of the electropneumatic positioner,
The control valve 1 includes a drive unit 1A, a valve shaft 1B, and a valve 1C. The drive unit 1A has a diaphragm, and adjusts the opening of the valve 1C by moving the valve shaft 1B up and down according to the air pressure introduced from an electropneumatic conversion unit (not shown) of the electropneumatic positioner.
【0004】この弁軸1Bのリフト位置を検出するべ
く、すなわち弁1Cの実開度を検出するべく、角度セン
サ2と弁軸1Bとの間にフィードバックレバー3が連結
されている。フィードバックレバー3は、弁軸1Bのリ
フト位置に応じて角度センサ2の中心Oを軸心として、
回動する。この弁軸1Bのリフト位置に応じたフィード
バックレバー3の回転角度変化を角度センサ2で検出す
ることにより、この角度センサ2の検出々力から調節弁
1Cの実開度を検出することができる。[0004] A feedback lever 3 is connected between the angle sensor 2 and the valve shaft 1B to detect the lift position of the valve shaft 1B, that is, to detect the actual opening of the valve 1C. The feedback lever 3 has the center O of the angle sensor 2 as an axis according to the lift position of the valve shaft 1B.
Rotate. By detecting a change in the rotation angle of the feedback lever 3 according to the lift position of the valve shaft 1B with the angle sensor 2, the actual opening of the control valve 1C can be detected from the detected force of the angle sensor 2.
【0005】従来、この実開度の検出にあたっては、角
度センサ2の検出々力をv、フィードバックレバー3の
水平位置からの回転角度をθ、定数をkとしたとき、v
=k・θの特性を持つ角度センサ2を用いている。この
場合、角度センサ2の中心Oから弁軸1Bまでの水平距
離をL、フィードバックレバー3の水平位置から弁軸1
Bとの連結位置Pまでの垂直距離をxとしたとき、x=
L・tanθなる式より垂直距離xを算出し、この算出
した垂直距離xから弁1Cの実開度を算定する。Conventionally, when detecting the actual opening, when the detected force of the angle sensor 2 is v, the rotation angle of the feedback lever 3 from the horizontal position is θ, and the constant is k, v
= K · θ is used. In this case, the horizontal distance from the center O of the angle sensor 2 to the valve shaft 1B is L, and the horizontal position of the feedback lever 3 is
Assuming that the vertical distance to the connection position P with B is x, x =
The vertical distance x is calculated from the formula L · tan θ, and the actual opening of the valve 1C is calculated from the calculated vertical distance x.
【0006】[0006]
【発明が解決しようとする課題】しかしながら、このよ
うな従来の弁開度の算定方法によると、垂直距離xを算
出する式に三角関数が入り、近似式を用いるため、複雑
となるとともに精度も限定されてしまう。However, according to such a conventional method for calculating the valve opening, the expression for calculating the vertical distance x includes a trigonometric function, and an approximate expression is used. It will be limited.
【0007】本発明はこのような課題を解決するために
なされたもので、その目的とするところは、算出式に三
角関数が入らないようにして、簡単かつ高精度で調節弁
の実開度を算定することの可能な電空ポジショナの弁開
度算定方法を提供することにある。SUMMARY OF THE INVENTION The present invention has been made to solve such a problem. An object of the present invention is to prevent a trigonometric function from being included in a calculation formula so that the actual opening of a control valve can be easily and accurately adjusted. It is an object of the present invention to provide a method for calculating a valve opening of an electropneumatic positioner capable of calculating the valve opening degree.
【0008】[0008]
【課題を解決するための手段】このような目的を達成す
るために、第1発明(請求項1に係る発明)は、上述し
た電空ポジショナの弁開度算定方法において、角度セン
サの検出々力をv、フィードバックレバーの水平位置か
らの回転角度をθ、定数をkとしたとき、v=k・si
n2θの特性を持つ角度センサを用いるようにしたもの
である。この発明によれば、角度センサの検出々力v=
k・sin2θを三角関数が入らない式に代入して、調
節弁の実開度を算定することが可能となる。In order to achieve the above object, a first invention (an invention according to claim 1) is directed to a method for calculating a valve opening of an electropneumatic positioner, the method comprising: When the force is v, the rotation angle of the feedback lever from the horizontal position is θ, and the constant is k, v = k · si
An angle sensor having a characteristic of n2θ is used. According to the present invention, the detection force v =
By substituting k · sin2θ into an equation that does not include a trigonometric function, the actual opening of the control valve can be calculated.
【0009】第2発明(請求項2に係る発明)は、第1
発明において、角度センサの中心から弁軸までの水平距
離をL、フィードバックレバーの水平位置から弁軸との
連結位置までの垂直距離をxとしたとき、x=v・L/
{k+(k2 −v2 )1/2}なる式より垂直距離xを算
出し、この算出した垂直距離xから調節弁の実開度を算
定するようにしたものである。この発明によれば、角度
センサの検出々力v=k・sin2θを三角関数が入ら
ないx=v・L/{k+(k2 −v2 )1/2}なる式に
代入して、調節弁の実開度を算定することができる。The second invention (the invention according to claim 2) is the first invention.
In the invention, when the horizontal distance from the center of the angle sensor to the valve shaft is L, and the vertical distance from the horizontal position of the feedback lever to the connection position with the valve shaft is x, x = v · L /
The vertical distance x is calculated from the equation {k + (k 2 −v 2 ) 1/2 }, and the actual opening of the control valve is calculated from the calculated vertical distance x. According to the present invention, adjustment is performed by substituting the detection force v = k · sin2θ of the angle sensor into the expression x = v · L / {k + (k 2 −v 2 ) 1/2 } that does not include a trigonometric function. The actual opening of the valve can be calculated.
【0010】第3発明(請求項3に係る発明)は、角度
センサの中心から弁軸までの水平距離をL、フィードバ
ックレバーの水平位置から弁軸との連結位置までの垂直
距離をx、電空ポジショナの取付誤差角度をε、e=t
anεとしたとき、x=L・〔e・{k+(k2 −
v2 )1/2}+v〕/{k+(k2 −v2 )1/2−e・
v}なる式より垂直距離xを算出し、この算出した垂直
距離xから調節弁の実開度を算定するようにしたもので
ある。この発明によれば、角度センサの検出々力v=k
・sin2θを三角関数が入らないx=L・〔e・{k
+(k2 −v2 )1/2}+v〕/{k+(k2 −v2)
1/2−e・v}なる式に代入して、調節弁の実開度を算
定することができる。The third invention (the invention according to claim 3) is characterized in that the horizontal distance from the center of the angle sensor to the valve shaft is L, the vertical distance from the horizontal position of the feedback lever to the connection position with the valve shaft is x, The mounting error angle of the empty positioner is ε, e = t
When anε, x = L · [e · {k + (k 2 −
v 2 ) 1/2 } + v] / {k + (k 2 -v 2 ) 1/2 -e
The vertical distance x is calculated from the equation v}, and the actual opening of the control valve is calculated from the calculated vertical distance x. According to the present invention, the detection force of the angle sensor v = k
X = L · [e · {k where trigonometric function does not enter sin2θ
+ (K 2 -v 2 ) 1/2 } + v] / {k + (k 2 -v 2 )
The actual opening degree of the control valve can be calculated by substituting into the equation of 1 / 2- ev.
【0011】[0011]
【発明の実施の形態】以下、本発明を実施の形態に基づ
き詳細に説明する。この実施の形態では、v=k・θの
特性を持つ従来の角速度センサ2(図2)に代えて、v
=k・sin2θの特性を持つ角度センサ2’(図1)
を用いる。また、電空ポジショナの取付誤差角度をεと
し、e=tanε=x0 /Lとしたとき、 x=L・〔e・{k+(k2 −v2 )1/2}+v〕/{k+(k2 −v2 )1/2 −e・v} ・・・・(1) なる式より垂直距離xを算出し、この算出した垂直距離
xから調節弁1Cの実開度を算定する。DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, the present invention will be described in detail based on embodiments. In this embodiment, instead of the conventional angular velocity sensor 2 (FIG. 2) having the characteristic of v = k · θ, v
= Angle sensor 2 'with characteristics of k · sin2θ (FIG. 1)
Is used. Further, assuming that the mounting error angle of the electropneumatic positioner is ε and e = tan ε = x 0 / L, x = L · [e · {k + (k 2 −v 2 ) 1/2 } + v] / {k + (K 2 −v 2 ) 1/2 −e · v} (1) The vertical distance x is calculated from the following equation, and the actual opening of the control valve 1C is calculated from the calculated vertical distance x.
【0012】この実施の形態によれば、k,e,Lを定
数として表現される上記(1)式に角度センサ2’の検
出々力v=k・sin2θを代入するだけで垂直距離x
が算出されるので、すなわち三角関数の演算が不要であ
るので、調節弁1Cの実開度を簡単かつ高精度で算定す
ることができるようになる。According to this embodiment, the vertical distance x can be obtained simply by substituting the detection force v = k · sin2θ of the angle sensor 2 ′ into the above equation (1) in which k, e, and L are expressed as constants.
Is calculated, that is, the calculation of the trigonometric function is unnecessary, so that the actual opening of the control valve 1C can be calculated easily and with high accuracy.
【0013】なお、本実施の形態において、上記(1)
式は次のようにして導き出したものである。すなわち、
図1において、 x/L=tan(θ+ε)=(tanθ+tanε)/(1−tanθ・ta nε) ・・・・(2) として表される。ここで、tanε=x0 /L=eとす
ると、 x/L=(tanθ+e)/(1−e・tanθ) ・・・・(3) となる。In this embodiment, the above (1)
The formula was derived as follows. That is,
In FIG. 1, x / L = tan (θ + ε) = (tan θ + tan ε) / (1−tan θ · tan ε) (2) Here, assuming that tanε = x 0 / L = e, x / L = (tan θ + e) / (1−e · tan θ) (3)
【0014】角度センサ2’の検出々力v=k・sin
2θは、v=2k・sinθ・cosθとして表され、
v2 =4k2 ・sin2 θ・cos2 θ=4k2 (1−
cos2 θ)・cos2 θと変形できる。ここで、co
s2 θ=Xとすると、v2 =4k2 (1−X)・Xとな
る。この式は、 4k2 X2 −4k2 X+v2 =0 X2 −X+v2 /4k2 =0 X2 −X+(v/2k)2 =0 と変形でき、 X=〔1±{1−(v/k)2 }1/2)/2 ・・・・(4) が得られる。The detection force v = k · sin of the angle sensor 2 ′
2θ is expressed as v = 2k · sin θ · cos θ,
v 2 = 4k 2 · sin 2 θ · cos 2 θ = 4k 2 (1-
cos 2 θ) · cos 2 θ. Where co
Assuming that s 2 θ = X, v 2 = 4k 2 (1-X) · X. This equation can transform a 4k 2 X 2 -4k 2 X + v 2 = 0 X 2 -X + v 2 / 4k 2 = 0 X 2 -X + (v / 2k) 2 = 0, X = [1 ± {1- ( v / k) 2 } 1/2 ) / 2 ... (4) is obtained.
【0015】ここで、−π/4<θ<π/4とすると、
1/2<X=cos2 θ<1となり、 X=cos2 θ=〔1+{1−(v/k)2 }1/2)〕/2・・・・(5) となる。Here, if -π / 4 <θ <π / 4, then
1/2 <X = cos 2 θ <1, and X = cos 2 θ = [1+ {1− (v / k) 2 } 1/2 )] / 2 (5)
【0016】 tanθ=sinθ/cosθ =sinθ・cosθ・(1/cos2 θ) ・・・・(6) であり、v=2k・sinθ・cosθから得られるs
inθ・cosθ=v/2kを(6)式に代入すると、 tanθ=(v/2k)・(1/cos2 θ) =(v/k)・1/〔1+{1−(v/k)2 }1/2〕 =v/{k+(k2 −v2 )1/2} ・・・・(7) となる。Tan θ = sin θ / cos θ = sin θ · cos θ · (1 / cos 2 θ) (6), and s obtained from v = 2k · sin θ · cos θ
Substituting in θ · cos θ = v / 2k into equation (6), tan θ = (v / 2k) · (1 / cos 2 θ) = (v / k) · 1 / [1+ {1− (v / k) 2} 1/2] = v / {k + (k 2 -v 2) 1/2} a ... (7).
【0017】(3)式と(7)式より、 x/L=〔e+v/{k+(k2 −v2 )1/2}〕/〔1−e・v/{k+( k2 −v2 )1/2}〕=〔e・{k+(k2 −v2 )1/2}+v〕/{k+(k2 −v2 )1/2 −e・v} ・・・・(8) となる。これから、x=L・〔e・{k+(k2 −
v2 )1/2}+v〕/{k+(k2 −v2 )1/2 −e・v} として、上記(1)式が得られる。From equations (3) and (7), x / L = [e + v / {k + (k 2 −v 2 ) 1/2 }] / [1-ev · / k + (k 2 −v) 2 ) 1/2 }] = [e · {k + (k 2 −v 2 ) 1/2 } + v] / {k + (k 2 −v 2 ) 1/2 −e · v} (8) ). From this, x = L · [e · {k + (k 2 −
( 2 ) 1/2 {+ v] / {k + (k 2 −v 2 ) 1/2 −ev}, the above equation (1) is obtained.
【0018】なお、(1)式では、フィードバックレバ
ー3に取付誤差があるものとしたが、電空ポジショナの
取付誤差が無視できるほど小さければ、(1)式におけ
るeをe=0として得られる下記(9)式を用いても十
分高精度な結果が得られる。 x=v・L/{k+(k2 −v2 )1/2} ・・・・(9)In equation (1), it is assumed that the feedback lever 3 has an attachment error. However, if the attachment error of the electropneumatic positioner is small enough to be ignored, e in equation (1) can be obtained as e = 0. Sufficiently accurate results can be obtained by using the following equation (9). x = v · L / {k + (k 2 −v 2 ) 1/2 } (9)
【0019】また、(1)式を変形して、 x=L・〔(e/k)・{k+(k2 −v2 )1/2}+(v/k)〕/{(k /k)+(k2 −v2 )1/2 /k−e・(v/k)}=L・〔e+e{1−(v /k)2 }1/2+(v/k)〕/〔1+{1−(v/k)2 }1/2−e・(v/k )〕 とし、V0=v/kとすると、 x=L・〔e・{1+(1−V02 )1/2}+V0〕/{1+(1−V02 )1 /2 −e・V0} ・・・・(10) と表される。また、e=0なら、 x=L・V0/{1+(1−V02 )1/2} ・・・・(11) と表される。Further, by transforming equation (1), x = LL [(e / k) {{k + (k 2 −v 2 ) 1/2 } + (v / k)] / {(k / k) + (k 2 −v 2 ) 1/2 / ke− (v / k)} = L · [e + e {1− (v / k) 2 } 1/2 + (v / k)] / [1+ {1- (v / k) 2} 1/2 -e · (v / k) ] and, V0 = When v / k, x = L · [e · {1+ (1-V0 2) 1 / 2} + V0] / {1+ (1-V0 2 ) is expressed by 1/2 -e · V0} ···· (10). Furthermore, if e = 0, is expressed as x = L · V0 / {1+ (1-V0 2) 1/2} ···· (11).
【0020】なお、角度センサ2’としては、ポテンシ
ョメータの他、磁気を利用して角度検出を行うMRセン
サなどを使用してもよい。As the angle sensor 2 ', besides a potentiometer, an MR sensor or the like for detecting an angle using magnetism may be used.
【0021】[0021]
【発明の効果】以上説明したことから明らかなように、
第1発明によれば、v=k・sin2θの特性を持つ角
度センサを用いるようにしたので、角度センサの検出々
力v=k・sin2θを三角関数が入らない式に代入し
て、簡単かつ高精度で調節弁の実開度を算定することが
可能となる。第2発明によれば、電空ポジショナの取付
誤差がないことを前提として、角度センサの検出々力v
=k・sin2θを三角関数が入らないx=v・L/
{k+(k2 −v2 )1/2}なる式に代入することによ
り、簡単かつ高精度で調節弁の実開度を算定することが
できるようになる。第3発明によれば、角度センサの検
出々力v=k・sin2θを三角関数が入らないx=L
・〔e・{k+(k2 −v2 )1/2}+v〕/{k+
(k2 −v2)1/2−e・v}なる式に代入することによ
り、電空ポジショナの取付誤差があっても、簡単かつ高
精度で調節弁の実開度を算定することができるようにな
る。As is apparent from the above description,
According to the first aspect, the angle sensor having the characteristic of v = k · sin2θ is used. Therefore, the detection force v = k · sin2θ of the angle sensor is substituted into an expression that does not include a trigonometric function, so that it is simple and easy. It is possible to calculate the actual opening of the control valve with high accuracy. According to the second invention, on the assumption that there is no mounting error of the electropneumatic positioner, the detection force of the angle sensor v
= K · sin2θ x = v · L /
By substituting into the equation {k + (k 2 −v 2 ) 1/2 }, the actual opening of the control valve can be calculated easily and with high accuracy. According to the third aspect of the invention, the detection force v = k · sin2θ of the angle sensor is defined as x = L where the trigonometric function does not enter.
・ [E · {k + (k 2 −v 2 ) 1/2 } + v] / {k +
By substituting into the equation (k 2 −v 2 ) 1/2 −ev, it is possible to easily and accurately calculate the actual opening of the control valve even if there is an installation error of the electropneumatic positioner. become able to.
【図1】 本発明の弁開度算定方法を説明するための電
空ポジショナの角度センサと調節弁との配置関係を示す
図である。FIG. 1 is a diagram illustrating an arrangement relationship between an angle sensor of an electropneumatic positioner and a control valve for explaining a valve opening calculation method according to the present invention.
【図2】 従来の弁開度算定方法を説明するための電空
ポジショナの角度センサと調節弁との配置関係を示す図
である。FIG. 2 is a diagram illustrating an arrangement relationship between an angle sensor of an electropneumatic positioner and a control valve for describing a conventional valve opening degree calculation method.
1…調節弁、1A…駆動部、1B…弁軸、1C…弁、
2’…角度センサ(VTDセンサ)、3…フィードバッ
クレバー。DESCRIPTION OF SYMBOLS 1 ... Control valve, 1A ... Drive part, 1B ... Valve shaft, 1C ... Valve,
2 ': Angle sensor (VTD sensor); 3: Feedback lever.
Claims (3)
されたフィードバックレバーを備え、前記弁軸のリフト
位置に応じた前記フィードバックレバーの回転角度変化
を前記角度センサで検出し、この角度センサの検出々力
から前記調節弁の実開度を算定する電空ポジショナの弁
開度算定方法において、 前記角度センサの検出々力をv、前記フィードバックレ
バーの水平位置からの回転角度をθ、定数をkとしたと
き、v=k・sin2θの特性を持つ角度センサを用い
たことを特徴とする電空ポジショナの弁開度算定方法。And a feedback lever connected between the valve shaft of the control valve and the angle sensor, wherein a change in the rotation angle of the feedback lever according to a lift position of the valve shaft is detected by the angle sensor. In the method for calculating the valve opening of the electropneumatic positioner, which calculates the actual opening of the control valve from the detection force of the angle sensor, the detection force of the angle sensor is v, and the rotation angle of the feedback lever from a horizontal position is θ. And an angle sensor having a characteristic of v = k · sin2θ, where k is a constant, and a method of calculating the valve opening of the electropneumatic positioner.
心から弁軸までの水平距離をL、前記フィードバックレ
バーの水平位置から前記弁軸との連結位置までの垂直距
離をxとしたとき、 x=v・L/{k+(k2 −v2 )1/2} なる式より垂直距離xを算出し、この算出した垂直距離
xから前記調節弁の実開度を算定するようにしたことを
特徴とする電空ポジショナの弁開度算定方法。2. The apparatus according to claim 1, wherein a horizontal distance from a center of the angle sensor to a valve shaft is L, and a vertical distance from a horizontal position of the feedback lever to a connection position with the valve shaft is x. = V · L / {k + (k 2 −v 2 ) 1/2 } The vertical distance x is calculated from the following equation, and the actual opening of the control valve is calculated from the calculated vertical distance x. Characteristic method of calculating valve opening of electropneumatic positioner.
心から弁軸までの水平距離をL、前記フィードバックレ
バーの水平位置から前記弁軸との連結位置までの垂直距
離をx、電空ポジショナの取付誤差角度をε、e=ta
nεとしたとき、 x=L・〔e・{k+(k2 −v2 )1/2}+v〕/
{k+(k2 −v2 )1/2−e・v} なる式より垂直距離xを算出し、この算出した垂直距離
xから前記調節弁の実開度を算定するようにしたことを
特徴とする電空ポジショナの弁開度算定方法。3. The electropneumatic positioner according to claim 1, wherein the horizontal distance from the center of the angle sensor to the valve shaft is L, the vertical distance from the horizontal position of the feedback lever to the connection position with the valve shaft is x, The mounting error angle is ε, e = ta
When nε, x = L · [e · {k + (k 2 −v 2 ) 1/2 } + v] /
The vertical distance x is calculated from the formula {k + (k 2 −v 2 ) 1/2 −e · v}, and the actual opening of the control valve is calculated from the calculated vertical distance x. How to calculate the valve opening of the electro-pneumatic positioner.
Priority Applications (1)
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JP19828297A JP3389066B2 (en) | 1997-07-24 | 1997-07-24 | Calculation method of valve opening of electropneumatic positioner |
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JP19828297A JP3389066B2 (en) | 1997-07-24 | 1997-07-24 | Calculation method of valve opening of electropneumatic positioner |
Publications (2)
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JPH1137103A true JPH1137103A (en) | 1999-02-09 |
JP3389066B2 JP3389066B2 (en) | 2003-03-24 |
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JP19828297A Expired - Fee Related JP3389066B2 (en) | 1997-07-24 | 1997-07-24 | Calculation method of valve opening of electropneumatic positioner |
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JP (1) | JP3389066B2 (en) |
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JP3389066B2 (en) | 2003-03-24 |
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