JPS5952788B2 - Method for measuring the skin effect coefficient of power cables - Google Patents

Method for measuring the skin effect coefficient of power cables

Info

Publication number
JPS5952788B2
JPS5952788B2 JP52144225A JP14422577A JPS5952788B2 JP S5952788 B2 JPS5952788 B2 JP S5952788B2 JP 52144225 A JP52144225 A JP 52144225A JP 14422577 A JP14422577 A JP 14422577A JP S5952788 B2 JPS5952788 B2 JP S5952788B2
Authority
JP
Japan
Prior art keywords
skin effect
effect coefficient
conductor
measuring
cable
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
Application number
JP52144225A
Other languages
Japanese (ja)
Other versions
JPS5476990A (en
Inventor
耕一 杉山
正一 志賀
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Hitachi Cable Ltd
Original Assignee
Hitachi Cable 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 Hitachi Cable Ltd filed Critical Hitachi Cable Ltd
Priority to JP52144225A priority Critical patent/JPS5952788B2/en
Publication of JPS5476990A publication Critical patent/JPS5476990A/en
Publication of JPS5952788B2 publication Critical patent/JPS5952788B2/en
Expired legal-status Critical Current

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  • Testing Of Short-Circuits, Discontinuities, Leakage, Or Incorrect Line Connections (AREA)
  • Measurement Of Resistance Or Impedance (AREA)
  • Testing Electric Properties And Detecting Electric Faults (AREA)

Description

【発明の詳細な説明】 本発明は電力ケーブルの表皮効果係数測定方法の改良に
関する。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to an improved method for measuring the skin effect coefficient of power cables.

一般に電力ケーブルの導体の交流抵抗は、表皮効果や近
接効果によつて直流抵抗より大きくなる。
In general, the AC resistance of a power cable conductor is greater than the DC resistance due to skin effect and proximity effect.

そのうち表皮効果による交流抵抗増加率を表皮効果係数
(以下これをFsで表わす)と呼んでいる。このFsの
値を測定する場合、従来、下記の方法によつていた。す
なわち、第1図に示すように、2本の電力ケーブル1、
2を平行に布設し、ケーブル1、2の導体3の両端をそ
れぞれ短絡して図に示すように閉回路を構成し、これに
リングトランス4を用いて電流Iを流し、その電流値は
変流器5と電流測定器6を用いて測定する。
The rate of increase in AC resistance due to the skin effect is called the skin effect coefficient (hereinafter referred to as Fs). When measuring this Fs value, the following method has conventionally been used. That is, as shown in FIG. 1, two power cables 1,
2 are laid in parallel, and both ends of the conductors 3 of cables 1 and 2 are short-circuited to form a closed circuit as shown in the figure.A current I is passed through this using a ring transformer 4, and the current value changes. Measurement is performed using a current meter 5 and a current measuring device 6.

一方、そのときのケーブル1の導体3の適当なA、B点
間の区間lの電圧降下Vを、導体3のA、B点にそれぞ
れ両端が接続され、導体3の長さ方向に平行に配設した
電圧リード線7を設け、それの中間を切断して、このリ
ード線7と交流電位差計8を用いて測定し、電流Iと電
圧降下Vとから表皮効果係数Fsを次式より求めた。I
V)・ c0sf Fs=、・・・・・・・・・・・・・・・・・・・・・
・・・・・・(1)111−RDcこ・に、φ:Vと
Iの位相差。
On the other hand, the voltage drop V in the section l between the appropriate points A and B of the conductor 3 of the cable 1 at that time is determined by connecting both ends to the points A and B of the conductor 3, respectively, and parallel to the length direction of the conductor 3. A voltage lead wire 7 is provided, cut in the middle, and measured using this lead wire 7 and an AC potentiometer 8. The skin effect coefficient Fs is determined from the current I and the voltage drop V using the following formula. Ta. I
V)・c0sf Fs=,・・・・・・・・・・・・・・・・・・・・・
・・・・・・(1) 111-RDc・φ: Phase difference between V and I.

RDC:A、B間の導体3の直流抵抗。RDC: Direct current resistance of conductor 3 between A and B.

ところで、このような測定方法による場合、ケーブル1
に対する電圧リード線7の取付角度θ(第2図参照)に
よつて電圧降下Vの測定値が異なり、Fsの値も変わつ
てくる。
By the way, when using this measurement method, cable 1
The measured value of the voltage drop V varies depending on the attachment angle θ of the voltage lead wire 7 (see FIG. 2), and the value of Fs also varies.

そしてケーブル1、2の導体3間の間隔dを広げると、
Fsの値の取付角度θによる変化量が減少し、dをある
大きさまで広げると、Fsの値がほぼ理論値に収れんす
る。そこで、従来は導線間隔dを変えてFsの値を収れ
んさせ、そのときのFsの値を求めるようにしていた。
Then, if we increase the distance d between conductors 3 of cables 1 and 2,
When the amount of change in the value of Fs due to the mounting angle θ is reduced and d is expanded to a certain value, the value of Fs converges to approximately the theoretical value. Therefore, conventionally, the value of Fs was converged by changing the conductor interval d, and the value of Fs at that time was determined.

そのため、既設回線のように導体間隔dを変えることが
できない場合のFsの測定が非常に困難であつた。本発
明の目的は、上記した従来技術の欠点をなくし、容易に
、かつ正確に表皮効果係数を測定することができる電力
ケーブルの表皮効果係数測定方法を提供することにある
Therefore, it has been extremely difficult to measure Fs in cases where the conductor spacing d cannot be changed as in existing lines. SUMMARY OF THE INVENTION An object of the present invention is to provide a method for measuring the skin effect coefficient of a power cable, which eliminates the drawbacks of the above-mentioned prior art and can easily and accurately measure the skin effect coefficient.

本発明の特徴は、電力ケーブルの導体と任意区間の電圧
降下を測定するときに、両端が電力ケーブルの導体の任
意距離隔たつた点にそれぞれ接続,・され、電力ケーブ
ルの長さ方向に伸びる該ケーブルの外円に等間隔に配置
された4本以上の電圧リード線を設け、それらをそれぞ
れ中間で切断し、この部分で電圧降下をそれぞれ測定し
、それらの平均値から電力ケーブルの表皮効果係数を求
めるlようにした点にある。
A feature of the present invention is that when measuring the voltage drop between the conductor of a power cable and a given section, both ends are connected to points separated by a given distance on the conductor of the power cable, and extend in the length direction of the power cable. Install four or more voltage lead wires arranged at equal intervals on the outer circle of the cable, cut them in the middle, measure the voltage drop at each part, and calculate the skin effect of the power cable from the average value. This is the point at which the coefficients are calculated.

以下本発明を第2図に示した実施例及び第3図、第4図
を用いて詳細に説明する。
The present invention will be described in detail below with reference to the embodiment shown in FIG. 2 and FIGS. 3 and 4.

本発明の表皮効果係数測定要領は第1図を用いて説明し
たのと同様であるが、本発明において,は、電圧リード
線の配置が異なる。
The procedure for measuring the skin effect coefficient of the present invention is the same as that described using FIG. 1, but in the present invention, the arrangement of the voltage lead wires is different.

第2図は本発明の場合の電圧リード線の配置の一実施例
を示す断面図で、第2図において、1,2は電力ケーブ
ル1,2の導体、9a〜91は電圧リード線で、これら
が電力ケーブル1の外周に等間隔、すなわ2ち、取付角
度θが30度おきになるように計12本配置されている
。これらの電圧リード線9a〜91は、それぞれ両端が
第1図に示すように電力ケーブル1の導体3のA,B点
にそれぞれ接続されていて、導体3の長さ方向に伸びて
いる。そしてそれぞれ電圧リード線9a〜9の中間が切
断されていて、そこに交流電位差計8が接続してある。
電力ケーブル1の表皮効果係数Fsを測定するときは導
体3に電流1を流し、そのときの導体3の点A,B間の
電圧降下Vは、電圧リード線9a〜91と交流電位差計
7を用いてそれぞれ測定し、第]図の場合と同様、(1
)式を用いて見掛けの表皮効果係数F″Sをそれぞれ求
め、それぞれのF″Sの平均値をFsとする。いま、長
さ5.5mの直径32mmの銅棒を導体とする電力ケー
ブルの場合、A,B間の距離1が4]T)m、導体間の
間隔dが10mmとすると、それぞれの電圧リード線9
a〜91で測定したA,B間の電圧降下Vより求めた見
掛けの表皮効果係数F″Sは、第3図のようになる。
FIG. 2 is a sectional view showing an example of the arrangement of voltage lead wires in the case of the present invention. In FIG. 2, 1 and 2 are conductors of power cables 1 and 2, and 9a to 91 are voltage lead wires, A total of 12 of these are arranged on the outer periphery of the power cable 1 at equal intervals, that is, with an attachment angle θ of every 30 degrees. Both ends of these voltage lead wires 9a to 91 are respectively connected to points A and B of the conductor 3 of the power cable 1, as shown in FIG. 1, and extend in the length direction of the conductor 3. Each of the voltage lead wires 9a to 9 is cut in the middle, and an AC potentiometer 8 is connected thereto.
When measuring the skin effect coefficient Fs of the power cable 1, a current 1 is passed through the conductor 3, and the voltage drop V between points A and B on the conductor 3 at that time is calculated by connecting the voltage leads 9a to 91 and the AC potentiometer 7. As in the case of Fig.
), the apparent skin effect coefficient F″S is obtained, and the average value of each F″S is set as Fs. Now, in the case of a power cable whose conductor is a copper rod with a length of 5.5 m and a diameter of 32 mm, if the distance 1 between A and B is 4] T) m, and the distance d between the conductors is 10 mm, then each voltage lead line 9
The apparent skin effect coefficient F″S obtained from the voltage drop V between A and B measured in steps a to 91 is as shown in FIG.

第3図において、横軸はそれぞれ電圧リード線の取付角
度θ、縦軸は見掛けの表皮効果係数F″Sである。この
ように理論値aを直線に対し、測定値はb曲線で示すよ
うに、取付角度θに応じて正弦波的に変化するが、フそ
れぞれの測定値の平均値をとれば、その平均値は理論値
にほぼ一致する。
In Fig. 3, the horizontal axis is the installation angle θ of the voltage lead wire, and the vertical axis is the apparent skin effect coefficient F″S.In this way, the theoretical value a is shown as a straight line, and the measured value is shown as the curve b. Although it varies sinusoidally depending on the mounting angle θ, if the average value of each measured value is taken, the average value almost matches the theoretical value.

そこで本発明においては、それぞれの電圧リード線9a
〜91で測定した電圧降下Vを用いて(1)式より見掛
けの表皮効果係数F″Sを求め、それらの平均値を表皮
効果係数Fsとするようにした。第4図は本発明の測定
方法による場合の導体間隔dと表皮効果係数Fsの測定
値との関係線図で、第4図において、実線矢印で示した
範囲はそれぞれの電圧リード線による場合の見掛け上の
表皮効果係数のばらつき範囲で、○印は本発明によるそ
れを平均した表皮効果係数Fsの測定値でこれより見掛
上の表皮効果係数合ばらつき量はdが小さいほど大きく
なるが、それを平均した値は○印で示すようにdに無関
係に一定で、かつ、点線で示した理論値にほぼ一致し、
正確が測定ができることがわかる。
Therefore, in the present invention, each voltage lead wire 9a
The apparent skin effect coefficient F''S was calculated from equation (1) using the voltage drop V measured in 91 to 91, and the average value thereof was taken as the skin effect coefficient Fs. Figure 4 shows the measurement results of the present invention. This is a diagram showing the relationship between the conductor spacing d and the measured value of the skin effect coefficient Fs when using the method. In the range, the mark ○ is the measured value of the skin effect coefficient Fs that is averaged according to the present invention.From this, the smaller the value of d, the larger the apparent variation in the skin effect coefficient. As shown, it is constant regardless of d, and almost coincides with the theoretical value shown by the dotted line,
It can be seen that accurate measurements can be made.

本発明の実施例によれば、従来のように導体間隔dを変
える必要がないので、測定が容易であり、また、測定回
路近くに他の電源回路や鋼材があつても、それらによる
影響度合が平均化することによつてキヤンセルされるの
で、正確な測定ができる。
According to the embodiment of the present invention, there is no need to change the conductor spacing d as in the conventional case, so measurement is easy, and even if there are other power supply circuits or steel materials near the measurement circuit, the degree of influence caused by them can be reduced. are canceled by averaging, so accurate measurements can be made.

さらにまた、導体間隔dを変えることができない場合で
も表皮効果係数のみを単独に測定することが可能である
Furthermore, even if the conductor spacing d cannot be changed, it is possible to measure only the skin effect coefficient independently.

なお、第2図の実施例では電圧リード線を12組とした
が、等間隔であれば4組以上あれば充分であり、ほぼ同
一の効果がある。
In the embodiment shown in FIG. 2, there are 12 sets of voltage lead wires, but four or more sets are sufficient as long as they are equally spaced, and almost the same effect can be obtained.

以上説明したように、本発明によれば、容易にかつ正確
に表皮効果係数を測定することができるという顕著な効
果がある。
As explained above, according to the present invention, there is a remarkable effect that the skin effect coefficient can be easily and accurately measured.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図は従来の表皮効果係数測定方法の説明図、第2図
は本発明の表皮効果係数測定方法における電圧リード線
の配置の一実施例を示す断面図、第3図は本発明におけ
る電圧リード線の取付角度θと見掛けの表皮効果係数F
″Sとの関係線図、第4図は本発明による場合の導体間
隔dと表皮効果係数Fsとの関係線図である。 1,2:電力ケーブル、3:導体、4:リンクトランス
、5:変流器、6:電流測定器、8:交流電位差計、9
a〜91:電圧リード線。
FIG. 1 is an explanatory diagram of a conventional skin effect coefficient measurement method, FIG. 2 is a sectional view showing an example of the arrangement of voltage lead wires in the skin effect coefficient measurement method of the present invention, and FIG. Lead wire attachment angle θ and apparent skin effect coefficient F
Figure 4 is a diagram showing the relationship between the conductor spacing d and the skin effect coefficient Fs according to the present invention. 1, 2: power cable, 3: conductor, 4: link transformer, 5 : Current transformer, 6: Current measuring device, 8: AC potentiometer, 9
a-91: Voltage lead wire.

Claims (1)

【特許請求の範囲】[Claims] 1 複数本の被測定電力ケーブルを平行に布設し、その
うち2本の電力ケーブルについて、ケーブルの導体の両
端間をそれぞれ短絡して閉回路を構成し、該閉回路に流
した電流と前記ケーブルのうち一方のケーブルの導体の
所定区間での電圧降下から表皮効果係数を求める表皮効
果係数測定方法において、前記電圧降下を両端が前記一
方のケーブル導体の所定距離隔たつた点にそれぞれ該ケ
ーブルの長さ方向に伸びる該ケーブルの外周に等間隔に
配置された4本以上の電圧リード線を中間でそれぞれ切
断した部分でそれぞれ測定し、該測定値の平均値から電
力ケーブル導体の表皮効果係数を求めるようにすること
を特徴とする表皮効果係数測定方法。
1. Lay multiple power cables to be measured in parallel, and configure a closed circuit by short-circuiting both ends of the conductors of two of the cables, and the current flowing through the closed circuit and the cable In a skin effect coefficient measurement method for determining a skin effect coefficient from a voltage drop in a predetermined section of a conductor of one of the cables, the voltage drop is measured at both ends of the cable conductor at points separated by a predetermined distance from each other along the length of the cable. The skin effect coefficient of the power cable conductor is determined from the average of the measured values by measuring four or more voltage lead wires arranged at equal intervals around the outer circumference of the cable that extends in the horizontal direction at each section cut in the middle. A method for measuring a skin effect coefficient, characterized in that:
JP52144225A 1977-12-01 1977-12-01 Method for measuring the skin effect coefficient of power cables Expired JPS5952788B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP52144225A JPS5952788B2 (en) 1977-12-01 1977-12-01 Method for measuring the skin effect coefficient of power cables

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP52144225A JPS5952788B2 (en) 1977-12-01 1977-12-01 Method for measuring the skin effect coefficient of power cables

Publications (2)

Publication Number Publication Date
JPS5476990A JPS5476990A (en) 1979-06-20
JPS5952788B2 true JPS5952788B2 (en) 1984-12-21

Family

ID=15357143

Family Applications (1)

Application Number Title Priority Date Filing Date
JP52144225A Expired JPS5952788B2 (en) 1977-12-01 1977-12-01 Method for measuring the skin effect coefficient of power cables

Country Status (1)

Country Link
JP (1) JPS5952788B2 (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS62133494U (en) * 1986-02-12 1987-08-22
JPH0279694U (en) * 1988-12-05 1990-06-19

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS62133494U (en) * 1986-02-12 1987-08-22
JPH0279694U (en) * 1988-12-05 1990-06-19

Also Published As

Publication number Publication date
JPS5476990A (en) 1979-06-20

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