JP2009014633A - Method and apparatus for managing abrasion of trolley wire - Google Patents

Method and apparatus for managing abrasion of trolley wire Download PDF

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JP2009014633A
JP2009014633A JP2007179215A JP2007179215A JP2009014633A JP 2009014633 A JP2009014633 A JP 2009014633A JP 2007179215 A JP2007179215 A JP 2007179215A JP 2007179215 A JP2007179215 A JP 2007179215A JP 2009014633 A JP2009014633 A JP 2009014633A
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trolley wire
sliding surface
data
trolley
light
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JP5151279B2 (en
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Tetsuo Fujita
哲生 藤田
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Meidensha Corp
Meidensha Electric Manufacturing Co Ltd
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<P>PROBLEM TO BE SOLVED: To provide a method and apparatus for managing the abrasion of a trolley wire that are capable of discriminating abnormal data generated by a detection system and thereby eliminating unnecessary on-the-spot inspection. <P>SOLUTION: The method includes the steps of: measuring n residual diameters h<SB>i</SB>of a trolley wire running over an interval corresponding to a single drum and then calculating the average h<SB>ave</SB>of the n residual diameters h<SB>i</SB>and an unbiased variance σ<SP>2</SP>=Σ(h<SB>i</SB>-h<SB>ave</SB>)<SP>2</SP>/(n-1) with use of data on the n residual diameters h<SB>i</SB>(Steps S1 and S2); and judging the data as normal when each of the residual diameters h<SB>i</SB>falls within a range of interval estimation μ [where h<SB>ave</SB>-2.58×σ/√n<μ<h<SB>ave</SB>+2.58×σ/√n] with 99% confidence or judging the data as abnormal when none of the residual diameters h<SB>i</SB>falls within the range of interval estimation (Steps S3 to S5). <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

本発明は、電気鉄道における電力供給用のトロリー線の摩耗管理方法及び摩耗管理装置に関する。   The present invention relates to a wear management method and a wear management device for a trolley wire for power supply in an electric railway.

トロリー線は、電気鉄道において、電車へ電力を供給するための電線である。このトロリー線は、電車が通過するたびにパンタグラフとの摩擦で磨耗する。更に、トロリー線とパンタグラフが瞬間的に離れてアーク放電が発生する箇所では、トロリー線に局所的な異常磨耗が発生する。この異常磨耗の箇所には、相乗してアーク放電が発生するため、磨耗の進行が早く、磨耗したトロリー線を交換しない場合、最終的にはトロリー線が破断して事故を招くことになる。そこで、トロリー線には摩耗限界が設けられており、トロリー線の残存直径を測定することにより磨耗量を求め、その磨耗量がトロリー線の磨耗限界を超えないように管理している。   A trolley line is an electric wire for supplying electric power to a train in an electric railway. The trolley wire is worn by friction with the pantograph every time the train passes. Furthermore, local abnormal wear occurs in the trolley wire at a location where the trolley wire and the pantograph are instantaneously separated and arc discharge occurs. Since the arc discharge is generated synergistically at the abnormally worn portion, the wear progresses quickly, and if the worn trolley wire is not replaced, the trolley wire is eventually broken and an accident is caused. Therefore, the trolley wire has a wear limit, and the amount of wear is determined by measuring the remaining diameter of the trolley wire, and the wear amount is managed so as not to exceed the wear limit of the trolley wire.

現在のトロリー線の摩耗管理方法としては、電気検測車を用いてトロリー線の摺面幅を測定し、測定された摺面幅から残存直径を計算する方法や、マイクロメータを使用して、人手により残存直径を測定する方法等により実施されているが、一般的には、前者によることが多い。   As the current trolley wire wear management method, measure the sliding surface width of the trolley wire using an electric inspection vehicle, calculate the remaining diameter from the measured sliding surface width, or use a micrometer, Although it is implemented by a method of manually measuring the remaining diameter, etc., in general, the former is often used.

前者の方法は、図4に示すように、トロリー線21の摺面21aを、トロリー線21の長さ方向に垂直な方向に光源22からの光(あるいはレーザ光線)をスキャンし、摺面21aにより反射した光の始点と終点を受光器23で検出し、検出した始点と終点の位置に基づいて摺面幅を測定し、その摺面幅を用いて残存直径hを計算している。この方法では、パンタグラフとの摩擦による磨耗によりトロリー線21の摺面21aが平坦に削れ、磨耗が進むほどその幅が広くなることを利用して、トロリー線の残存直径を求めて、トロリー線の摩耗状態を管理している。この方法に使用する機器は、比較的大型となるため、電気検測車と呼ばれる専用車に搭載し、走行しながら反射光のデータを記録し、後で記録した反射光のデータに基づいて、トロリー線の残存直径を求めて、その磨耗状態を確認している。   As shown in FIG. 4, the former method scans the sliding surface 21a of the trolley wire 21 with light (or a laser beam) from the light source 22 in a direction perpendicular to the length direction of the trolley wire 21, and slides the sliding surface 21a. The light source 23 detects the start point and end point of the reflected light, measures the sliding surface width based on the detected start point and end point positions, and calculates the remaining diameter h using the sliding surface width. In this method, by utilizing the fact that the sliding surface 21a of the trolley wire 21 is flattened by wear due to friction with the pantograph and the width becomes wider as the wear progresses, the remaining diameter of the trolley wire is obtained, The wear state is managed. Since the equipment used in this method is relatively large, it is mounted on a dedicated vehicle called an electric inspection vehicle, and the reflected light data is recorded while traveling, based on the reflected light data recorded later, The remaining diameter of the trolley wire is obtained and its wear state is confirmed.

ところが、摺面21の荒れや水滴、油滴等の付着によって、反射光の始点、終点の位置がずれてしまい、本来の直径とはかけ離れた値を出力する場合があった。このような場合、データ異常と推定することにはなるが、それでも、無駄足覚悟で現地に出向いて、実際の残存直径を確認することになっている。   However, the start point and the end point of the reflected light are shifted due to the roughness of the sliding surface 21 and the adhesion of water droplets, oil droplets, etc., and there are cases in which values far from the original diameter are output. In such a case, although it is estimated that the data is abnormal, it is still necessary to visit the site with a preparedness to check the actual remaining diameter.

特開2006−248412号公報Japanese Patent Laid-Open No. 2006-248412 特開2006−250776号公報JP 2006-250776 A

電気検測車を用いる現在のトロリー線の摩耗管理方法では、列車密度の低い区間は別として、ダイヤ編成上、短時間しか測定時間が取れない場合には、通常の列車運行速度において、測定を行うことが普通となっている。従って、光のスキャンタイムを可能な限り短くして、測定点同士の距離を短くするようにしているが、原理的に連続測定は不可能である。従って、通常ではないデータを検出しても、異常摩耗によるものなのか、検出系の異常によるものなのか、測定点同士が離れているため、その判定は困難なことが多い。そのため、どちらの異常であっても、現地確認作業を行わざるを得ないのが現状である。   With the current trolley line wear management method using an electric inspection vehicle, when the measurement time can be taken only for a short time due to the schedule, apart from the section where the train density is low, the measurement is performed at the normal train operation speed. It is normal to do. Therefore, although the light scanning time is shortened as much as possible to shorten the distance between the measurement points, in principle, continuous measurement is impossible. Therefore, even if data that is not normal is detected, the determination is often difficult because the measurement points are separated from each other, whether they are due to abnormal wear or due to abnormality in the detection system. For this reason, the current situation is that there is no choice but to carry out on-site confirmation work for either abnormality.

本発明は上記課題に鑑みなされたもので、検出系による異常データを判別して、不要な現地確認作業を削除することができるトロリー線の摩耗管理方法及び摩耗管理装置を提供することを目的とする。   The present invention has been made in view of the above problems, and an object thereof is to provide a wear management method and a wear management device for a trolley wire that can determine abnormal data by a detection system and delete unnecessary field confirmation work. To do.

上記課題を解決する第1の発明に係るトロリー線の摩耗管理方法は、
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査し、前記摺面により反射した光の始点と終点とから前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求めて、トロリー線の摩耗状態を管理するトロリー線の摩耗管理方法において、
1ドラムに該当する区間のトロリー線の残存直径を複数計測しておき、
複数の前記残存直径のデータに対して、不偏分散処理を行い、
各残存直径が、信頼度99%の区間推定値内に有る場合には、正常データと判定し、信頼度99%の区間推定値内にない場合には、異常データと判定することを特徴とする。
The trolley wire wear management method according to the first invention for solving the above-described problems is
The sliding surface of the trolley line is scanned with light in a direction perpendicular to the length direction of the trolley line, the width of the sliding surface is obtained from the start point and the end point of the light reflected by the sliding surface, and based on the width, In the trolley wire wear management method for determining the remaining diameter of the trolley wire and managing the wear state of the trolley wire,
Measure the remaining diameter of the trolley wire in the section corresponding to one drum,
Unbiased variance processing is performed on a plurality of the remaining diameter data,
When each remaining diameter is within the estimated section value with 99% reliability, it is determined as normal data, and when it is not within the estimated section value with 99% reliability, it is determined as abnormal data. To do.

上記課題を解決する第2の発明に係るトロリー線の摩耗管理方法は、
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査し、前記摺面により反射した光の始点と終点とから前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求めて、トロリー線の摩耗状態を管理するトロリー線の摩耗管理方法において、
1ドラムに該当する区間のトロリー線に対して、n個の残存直径hi(i=1〜n)を計測しておき、
n個の前記残存直径hiのデータを用いて、n個の前記残存直径hiの平均haveを求めると共に、不偏分散σ2=Σ(hi−have2/(n−1)を求め、
各残存直径hiが、信頼度99%の区間推定値μ[但し、have−2.58×σ/√n<μ<have+2.58×σ/√n]の範囲内に有る場合には、正常データと判定し、上記区間推定値内にない場合には、異常データと判定することを特徴とする。
A trolley wire wear management method according to a second invention for solving the above-mentioned problems is as follows.
The sliding surface of the trolley line is scanned with light in a direction perpendicular to the length direction of the trolley line, the width of the sliding surface is obtained from the start point and the end point of the light reflected by the sliding surface, and based on the width, In the trolley wire wear management method for determining the remaining diameter of the trolley wire and managing the wear state of the trolley wire,
For the trolley wire in the section corresponding to one drum, n remaining diameters h i (i = 1 to n) are measured in advance.
An average h ave of the n remaining diameters h i is obtained using the data of the n remaining diameters h i , and an unbiased variance σ 2 = Σ (h i −h ave ) 2 / (n−1). Seeking
When each remaining diameter h i is in the range of 99% confidence interval estimated value μ [where h ave −2.58 × σ / √n <μ <h ave + 2.58 × σ / √n] Is determined as normal data, and when it is not within the above-mentioned section estimated value, it is determined as abnormal data.

上記課題を解決する第3の発明に係るトロリー線の摩耗管理装置は、
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査する光走査手段と、
前記摺面により反射した光を受光する受光手段と、
前記受光手段で受光した前記摺面による反射光から、当該反射光の始点と終点とを求め、前記始点と前記終点から前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求める測定手段と、
前記測定手段により求めた残存直径を用いて、トロリー線の摩耗状態を管理する管理手段とを有するトロリー線の摩耗管理装置において、
前記管理手段は、
1ドラムに該当する区間のトロリー線において計測された複数の残存直径のデータに対して、不偏分散処理を行い、
各残存直径が、信頼度99%の区間推定値内に有る場合には、正常データと判定し、信頼度99%の区間推定値内にない場合には、異常データと判定することを特徴とする。
A trolley wire wear management device according to a third invention for solving the above-mentioned problems is
Optical scanning means for scanning light in a direction perpendicular to the length direction of the trolley line on the sliding surface of the trolley line;
A light receiving means for receiving light reflected by the sliding surface;
From the reflected light from the sliding surface received by the light receiving means, the start point and end point of the reflected light are obtained, the width of the sliding surface is obtained from the start point and the end point, and the remaining diameter of the trolley wire based on the width Measuring means for obtaining
In the trolley wire wear management device having a management means for managing the wear state of the trolley wire, using the remaining diameter obtained by the measuring means,
The management means includes
Unbiased variance processing is performed on the data of multiple remaining diameters measured on the trolley wire in the section corresponding to one drum,
When each remaining diameter is within the estimated section value with 99% reliability, it is determined as normal data, and when it is not within the estimated section value with 99% reliability, it is determined as abnormal data. To do.

上記課題を解決する第4の発明に係るトロリー線の摩耗管理装置は、
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査する光走査手段と、
前記摺面により反射した光を受光する受光手段と、
前記受光手段で受光した前記摺面による反射光から、当該反射光の始点と終点とを求め、前記始点と前記終点から前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求める測定手段と、
前記測定手段により求めた残存直径を用いて、トロリー線の摩耗状態を管理する管理手段とを有するトロリー線の摩耗管理装置において、
前記管理手段は、
1ドラムに該当する区間のトロリー線において計測されたn個の残存直径hi(i=1〜n)のデータを用いて、n個の前記残存直径hiの平均haveを求めると共に、不偏分散σ2=Σ(hi−have2/(n−1)を求め、
各残存直径hiが、信頼度99%の区間推定値μ[但し、have−2.58×σ/√n<μ<have+2.58×σ/√n]の範囲内に有る場合には、正常データと判定し、上記区間推定値内にない場合には、異常データと判定することを特徴とする。
A trolley wire wear management device according to a fourth invention for solving the above-mentioned problems is
Optical scanning means for scanning light in a direction perpendicular to the length direction of the trolley line on the sliding surface of the trolley line;
A light receiving means for receiving light reflected by the sliding surface;
From the reflected light from the sliding surface received by the light receiving means, the start point and end point of the reflected light are obtained, the width of the sliding surface is obtained from the start point and the end point, and the remaining diameter of the trolley wire based on the width Measuring means for obtaining
In the trolley wire wear management device having a management means for managing the wear state of the trolley wire, using the remaining diameter obtained by the measuring means,
The management means includes
Using the data of the n remaining diameters h i (i = 1 to n) measured on the trolley line of the section corresponding to one drum, the average h ave of the n remaining diameters h i is obtained, and the unbiased Find the variance σ 2 = Σ (h i −h ave ) 2 / (n−1),
When each remaining diameter h i is in the range of 99% confidence interval estimated value μ [where h ave −2.58 × σ / √n <μ <h ave + 2.58 × σ / √n] Is determined as normal data, and when it is not within the above-mentioned section estimated value, it is determined as abnormal data.

本発明によれば、統計的処理により、検出系による異常データを判別して、不要な現地確認作業を削除することができる。   According to the present invention, it is possible to discriminate abnormal data by the detection system by statistical processing and to delete unnecessary on-site confirmation work.

電車へ電力を供給するためのトロリー線1は、電柱4に設けられた振止金具5に支持されて、各電柱4間に架設されるものである(図1(a)参照)。なお、振止金具5は、曲引金具となることもある。通常は、ドラム単位で架設され、その後は、電気検測車等による定期点検により、その残存直径の計算、管理が行われる。そして、摩耗によるトロリー線1の張り替えは、定期点検により測定された残存直径により判定されており、従来は、電気検測車により、走行しながら、トロリー線1を不連続に測定する方法が主流であった。この場合、前述したように、ノイズの混入が避けられず、検出系による異常データが発生する場合があり、異常データであるかどうかの判定を含めて、測定の信頼性の向上が望まれていた。   A trolley wire 1 for supplying electric power to a train is supported by a brace 5 provided on a power pole 4 and is installed between the power poles 4 (see FIG. 1A). The brace 5 may be a bent metal. Usually, it is installed in units of drums, and thereafter, the remaining diameter is calculated and managed by periodic inspection by an electric inspection vehicle or the like. Then, the replacement of the trolley wire 1 due to wear is determined by the remaining diameter measured by the periodic inspection. Conventionally, a method of measuring the trolley wire 1 discontinuously while traveling by an electric inspection vehicle is mainstream. Met. In this case, as described above, mixing of noise is unavoidable, and abnormal data may be generated by the detection system, and it is desired to improve measurement reliability including determination of whether or not the data is abnormal data. It was.

本発明においても、スキャンタイムの関係から、トロリー線に対して不連続で測定を行うことになるため、後述する判定手順を用いなければ、通常では考えられないデータが検出されても、データの異常か、実際の異常摩耗か判定できない。そこで、上記課題を克服するため、本発明に係るトロリー線の摩耗管理装置においては、異常データであるかどうかの判定を、統計的手法を応用することにより、その判定の精度を向上させるようにしている。以下、図1〜図3を参照して、本発明に係るトロリー線の摩耗管理方法及び摩耗管理装置の一例を説明する。   Also in the present invention, because of the scan time relationship, the measurement is performed discontinuously with respect to the trolley line. It cannot be determined whether it is abnormal or actual abnormal wear. Therefore, in order to overcome the above problems, in the trolley wire wear management device according to the present invention, the determination of whether or not the data is abnormal data is performed by applying a statistical method to improve the accuracy of the determination. ing. Hereinafter, with reference to FIGS. 1-3, an example of the wear management method and wear management apparatus of the trolley wire which concerns on this invention is demonstrated.

本発明に係るトロリー線の摩耗管理装置は、図1(a)に示す摩耗測定装置と、図2に示すデータ処理装置を有するものである。   The trolley wire wear management apparatus according to the present invention has a wear measuring apparatus shown in FIG. 1A and a data processing apparatus shown in FIG.

摩耗測定装置は、図1(a)、(b)に示すように、トロリー線1の摺面1aを、トロリー線1の長さ方向に垂直な方向に下方側から光を走査する光源2(光走査手段)と、摺面1aにより反射した光を受光する受光器3(受光手段)とを、レール6上を走行する電車7の上部に有し、更に、受光器3で受光した光の画像データを記録する画像記録部8と画像記録部8に録画した画像データの画像処理を行う画像処理部9(測定手段)とを電車7の車内に有するものである。   As shown in FIGS. 1 (a) and 1 (b), the wear measuring apparatus scans the sliding surface 1a of the trolley wire 1 from the lower side in a direction perpendicular to the length direction of the trolley wire 1 ( An optical scanning means) and a light receiver 3 (light receiving means) for receiving the light reflected by the sliding surface 1a. The light receiving means 3 (light receiving means) is provided on the upper part of the train 7 running on the rail 6, and further the light received by the light receiver 3 The train 7 has an image recording unit 8 that records image data and an image processing unit 9 (measuring means) that performs image processing of the image data recorded in the image recording unit 8.

画像記録部8では、例えば、光源2からの光を走査したときの時間をtとし、時間tに対する受光器3の受光強度の変化を画像データとして記録する。この場合、光源2からの光が何も存在しない空間を走査しているときには、受光器3は何の光も受光せず、光源2からの光がトロリー線1の摺面1aを走査しているときには、摺面1aによる反射光を受光器3が受光することになり、摺面1aの端部が受光した反射光の始点、終点として記録されることになる。   In the image recording unit 8, for example, the time when the light from the light source 2 is scanned is t, and the change in the received light intensity of the light receiver 3 with respect to the time t is recorded as image data. In this case, when scanning a space where no light from the light source 2 exists, the light receiver 3 does not receive any light, and the light from the light source 2 scans the sliding surface 1 a of the trolley wire 1. When light is received, the light receiver 3 receives the reflected light from the sliding surface 1a, and the end of the sliding surface 1a is recorded as the start point and end point of the received reflected light.

そして、画像処理部9では、画像記録部8に記録された画像データから、摺面1aを光源2からの光が走査した際に生じた摺面1aによる反射光の始点と終点とを検出し、検出した始点と終点から摺面1aの幅を求め、求めた摺面1aの幅に基づいて、トロリー線1の残存直径hを求めている。   Then, the image processing unit 9 detects from the image data recorded in the image recording unit 8 the start point and the end point of the reflected light from the sliding surface 1a generated when the light from the light source 2 scans the sliding surface 1a. The width of the sliding surface 1a is obtained from the detected start point and end point, and the remaining diameter h of the trolley wire 1 is obtained based on the obtained width of the sliding surface 1a.

トロリー線1の残存直径hを求める具体的な計算方法を、図1(b)を参照して説明する。トロリー線1は、通常、円形断面であるので、その半径をrとし、摺面1aの幅をd、摺面1aと摺面端部における法線となす角をθとすると、残存直径hは、次式で表される。
h=r(1+sinθ) ・・・ (式1)
但し、θ=cos-1(d/2r)
A specific calculation method for obtaining the remaining diameter h of the trolley wire 1 will be described with reference to FIG. Since the trolley wire 1 is usually a circular cross section, if the radius is r, the width of the sliding surface 1a is d, and the angle between the sliding surface 1a and the normal line at the sliding surface end is θ, the remaining diameter h is Is expressed by the following equation.
h = r (1 + sin θ) (Formula 1)
However, θ = cos −1 (d / 2r)

このような計算方法により、トロリー線1の残存直径hが求められ、求めたトロリー線1の残存直径hのデータは、1ドラムに該当する区間毎に1群のデータとしてまとめられ、後述するデータ処理装置で用いるため、記録メディア11に記録される。   By such a calculation method, the remaining diameter h of the trolley wire 1 is obtained, and the obtained data of the remaining diameter h of the trolley wire 1 is collected as a group of data for each section corresponding to one drum, and is described later. It is recorded on the recording medium 11 for use in the processing device.

そして、記録メディア11に記録されたトロリー線1の残存直径hのデータ群は、図2に示すデータ処理装置を用いて、判定、管理されることになる。このデータ処理装置は、記録メディア11に記録されたデータ群が蓄積されて、データベースが構築されるファイルサーバ12と、測定された残存直径のデータ群を用いて、トロリー線の摩耗状態を管理するための判定手順を実施する検測処理端末14(管理手段)と、検測処理端末14の処理結果を表示する表示装置15と、その処理結果を印刷するプリンタ16とを有するものであり、ファイルサーバ12、検測処理端末14及びプリンタ16は、スイッチングハブ13を介してネットワークが構築されている。   Then, the data group of the remaining diameter h of the trolley wire 1 recorded on the recording medium 11 is determined and managed using the data processing apparatus shown in FIG. This data processing apparatus manages the wear state of the trolley wire using the file server 12 in which the data group recorded in the recording medium 11 is accumulated and the database is constructed, and the data group of the measured remaining diameter. Inspection processing terminal 14 (management means) that executes a determination procedure for the display, a display device 15 that displays the processing result of the inspection processing terminal 14, and a printer 16 that prints the processing result. The server 12, the inspection processing terminal 14, and the printer 16 are constructed with a network via the switching hub 13.

なお、本実施例では、データ処理装置を摩耗測定装置とは独立した構成としているが、摩耗測定装置における画像処理部9に、データ処理装置の機能を担わせるようにしてもよい。   In this embodiment, the data processing device is configured independently of the wear measuring device. However, the image processing unit 9 in the wear measuring device may have the function of the data processing device.

次に、データ処理装置における判定手順について説明する。   Next, a determination procedure in the data processing apparatus will be described.

前述したように、トロリー線の張り替えは、通常ドラム単位で実施されるため、1ドラムに該当する区間のトロリー線の残存直径データを度数分布表で表すと、正規分布と考えて差し支えない状態を示す。   As described above, since the trolley wire is usually replaced in units of drums, if the remaining diameter data of the trolley wire in the section corresponding to one drum is represented by a frequency distribution table, it can be considered as a normal distribution. Show.

正規分布であれば、hiを個別の測定値、haveを全測定値の平均値、nを測定値の数ととすると、不偏分散σは、次式で表される。
σ2=Σ(hi−have2/(n−1) ・・・ (式2)
In the case of a normal distribution, the unbiased variance σ is expressed by the following equation, where h i is an individual measured value, h ave is an average value of all measured values, and n is the number of measured values.
σ 2 = Σ (h i −h ave ) 2 / (n−1) (Equation 2)

正規分布であれば統計上有意なデータは、信頼度99%の範囲内に収まるため、これから外れたデータを異常摩耗ではなく、入力データ異常と判断することで、現地確認の回数を減らすことができる。   If the distribution is normal, statistically significant data will fall within the 99% reliability range. Therefore, it is possible to reduce the number of on-site checks by judging that the data outside this range is not abnormal wear but abnormal input data. it can.

信頼度99%の区間推定値μは、次式で表される。
ave−2.58×σ/√n<μ<have+2.58×σ/√n ・・・ (式3)
なお、信頼度(1−α)のもとで、母比率πを±xの精度で推定する場合、必要な標本の大きさ、つまり、測定値の数nは、以下の式で見積もることができる。
n≧{Z(α/2)/x}2×π×(1−π) ・・・ (式4)
母比率πの値が事前に推定できない場合は、0.5と仮定することが通常行われ、信頼度99%の場合で、精度±10%とすれば、π=0.5、x=0.1、α=0.01、Z(α/2)=Z(0.005)=2.58であるので、上記式4は、以下の通りとなる。
n≧{2.58/0.1}2×0.5×0.5=166.41
従って、測定値の数nは、167以上であることが望ましい。
The section estimated value μ having a reliability of 99% is expressed by the following equation.
h ave −2.58 × σ / √n <μ <h ave + 2.58 × σ / √n (Formula 3)
Note that when the population ratio π is estimated with an accuracy of ± x under the reliability (1−α), the necessary sample size, that is, the number n of measured values, can be estimated by the following equation. it can.
n ≧ {Z (α / 2) / x} 2 × π × (1-π) (Formula 4)
When the value of the population ratio π cannot be estimated in advance, it is normally assumed that the value is 0.5. When the reliability is 99% and the accuracy is ± 10%, π = 0.5 and x = 0. .1, α = 0.01, Z (α / 2) = Z (0.005) = 2.58, the above equation 4 is as follows.
n ≧ {2.58 / 0.1} 2 × 0.5 × 0.5 = 166.41
Therefore, the number n of measured values is desirably 167 or more.

上述した統計的手法を、本実施例のデータ処理装置に適用すると、図3に示す手順により、異常データの判定(測定データの信頼性確認)を行うことになる。   When the above-described statistical method is applied to the data processing apparatus of this embodiment, abnormal data is determined (measured data reliability is confirmed) according to the procedure shown in FIG.

まず、1ドラムに該当する区間のトロリー線を測定した際に上記式1を用いて計算された残存直径hiのデータを入力する(ステップS1)。 First, when the trolley line in the section corresponding to one drum is measured, data of the remaining diameter h i calculated using the above equation 1 is input (step S1).

入力された残存直径hiのデータに対して、上記式2を用いて、不偏分散処理を行う(ステップS2)。 Unbiased variance processing is performed on the input data of the remaining diameter h i using the above equation 2 (step S2).

各残存直径hiが、信頼度99%の区間推定値μ内に有るかどうか判定する(ステップS3)。残存直径hiが、信頼度99%の区間推定値μ内に有る場合には、正常データと判定し(ステップS4)、信頼度99%の区間推定値μ内にない場合には、異常データと判定する(ステップS5)。 It is determined whether or not each remaining diameter h i is within the interval estimated value μ having a reliability of 99% (step S3). If the remaining diameter h i is within the estimated value μ of 99% reliability, it is determined as normal data (step S4). If the remaining diameter h i is not within the estimated value μ of 99% reliability, abnormal data is determined. (Step S5).

なお、異常データの中に異常摩耗が含まれる可能性が全くないとは言えないので、次回測定時に異常データが発生しないことを確認することは必要である。   In addition, since it cannot be said that there is no possibility that abnormal wear is included in the abnormal data, it is necessary to confirm that no abnormal data is generated at the next measurement.

本発明は、トロリー線の摩耗管理に好適なものである。   The present invention is suitable for trolley wire wear management.

本発明に係るトロリー線の摩耗管理方法及び装置の一例を説明する図であり、(a)は、トロリー線の摩耗測定装置を示す概略構成図、(b)は、トロリー線の残存直径の測定を説明する図である。It is a figure explaining an example of the wear management method and apparatus of the trolley wire which concerns on this invention, (a) is a schematic block diagram which shows the wear measuring apparatus of a trolley wire, (b) is a measurement of the remaining diameter of a trolley wire. FIG. 本発明に係るトロリー線の摩耗管理方法及び装置において、図1(a)に示すトロリー線の摩耗測定装置で測定したデータを処理するデータ処理装置の一例を示す概略構成図である。FIG. 2 is a schematic configuration diagram showing an example of a data processing device that processes data measured by the trolley wire wear measuring apparatus shown in FIG. 1A in the trolley wire wear management method and apparatus according to the present invention. 図2に示すデータ処理装置において実施される、本発明に係る摩耗管理手順を示すフローチャートである。It is a flowchart which shows the wear management procedure based on this invention implemented in the data processor shown in FIG. 従来のトロリー線の摩耗管理方法において、トロリー線の残存直径の測定を説明する図である。It is a figure explaining the measurement of the remaining diameter of a trolley wire in the conventional wear management method of a trolley wire.

符号の説明Explanation of symbols

1 トロリー線
1a 摺面
2 光源
3 受光器
4 電柱
5 振止金具
6 レール
7 電車
8 画像記録部
9 画像処理部
11 記録媒体
12 ファイルサーバ
13 スイッチングハブ
14 検測処理端末
15 表示装置
16 プリンタ
DESCRIPTION OF SYMBOLS 1 Trolley line 1a Sliding surface 2 Light source 3 Light receiver 4 Electric pole 5 Bracket 6 Rail 7 Train 8 Image recording part 9 Image processing part 11 Recording medium 12 File server 13 Switching hub 14 Inspection processing terminal 15 Display apparatus 16 Printer

Claims (4)

トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査し、前記摺面により反射した光の始点と終点とから前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求めて、トロリー線の摩耗状態を管理するトロリー線の摩耗管理方法において、
1ドラムに該当する区間のトロリー線の残存直径を複数計測しておき、
複数の前記残存直径のデータに対して、不偏分散処理を行い、
各残存直径が、信頼度99%の区間推定値内に有る場合には、正常データと判定し、信頼度99%の区間推定値内にない場合には、異常データと判定することを特徴とするトロリー線の摩耗管理方法。
The sliding surface of the trolley line is scanned with light in a direction perpendicular to the length direction of the trolley line, the width of the sliding surface is obtained from the start point and the end point of the light reflected by the sliding surface, and based on the width, In the trolley wire wear management method for determining the remaining diameter of the trolley wire and managing the wear state of the trolley wire,
Measure the remaining diameter of the trolley wire in the section corresponding to one drum,
Unbiased variance processing is performed on a plurality of the remaining diameter data,
When each remaining diameter is within the estimated section value with 99% reliability, it is determined as normal data, and when it is not within the estimated section value with 99% reliability, it is determined as abnormal data. Wear control method for trolley wire.
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査し、前記摺面により反射した光の始点と終点とから前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求めて、トロリー線の摩耗状態を管理するトロリー線の摩耗管理方法において、
1ドラムに該当する区間のトロリー線に対して、n個の残存直径hi(i=1〜n)を計測しておき、
n個の前記残存直径hiのデータを用いて、n個の前記残存直径hiの平均haveを求めると共に、不偏分散σ2=Σ(hi−have2/(n−1)を求め、
各残存直径hiが、信頼度99%の区間推定値μ[但し、have−2.58×σ/√n<μ<have+2.58×σ/√n]の範囲内に有る場合には、正常データと判定し、上記区間推定値内にない場合には、異常データと判定することを特徴とするトロリー線の摩耗管理方法。
The sliding surface of the trolley line is scanned with light in a direction perpendicular to the length direction of the trolley line, the width of the sliding surface is obtained from the start point and the end point of the light reflected by the sliding surface, and based on the width, In the trolley wire wear management method for determining the remaining diameter of the trolley wire and managing the wear state of the trolley wire,
For the trolley wire in the section corresponding to one drum, n remaining diameters h i (i = 1 to n) are measured in advance.
An average h ave of the n remaining diameters h i is obtained using the data of the n remaining diameters h i , and an unbiased variance σ 2 = Σ (h i −h ave ) 2 / (n−1). Seeking
When each remaining diameter h i is in the range of 99% confidence interval estimated value μ [where h ave −2.58 × σ / √n <μ <h ave + 2.58 × σ / √n] The method for managing wear of a trolley wire, characterized in that it is determined as normal data, and when it is not within the section estimated value, it is determined as abnormal data.
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査する光走査手段と、
前記摺面により反射した光を受光する受光手段と、
前記受光手段で受光した前記摺面による反射光から、当該反射光の始点と終点とを求め、前記始点と前記終点から前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求める測定手段と、
前記測定手段により求めた残存直径を用いて、トロリー線の摩耗状態を管理する管理手段とを有するトロリー線の摩耗管理装置において、
前記管理手段は、
1ドラムに該当する区間のトロリー線において計測された複数の残存直径のデータに対して、不偏分散処理を行い、
各残存直径が、信頼度99%の区間推定値内に有る場合には、正常データと判定し、信頼度99%の区間推定値内にない場合には、異常データと判定することを特徴とするトロリー線の摩耗管理装置。
Optical scanning means for scanning light in a direction perpendicular to the length direction of the trolley line on the sliding surface of the trolley line;
A light receiving means for receiving light reflected by the sliding surface;
From the reflected light from the sliding surface received by the light receiving means, the start point and end point of the reflected light are obtained, the width of the sliding surface is obtained from the start point and the end point, and the remaining diameter of the trolley wire based on the width Measuring means for obtaining
In the trolley wire wear management device having a management means for managing the wear state of the trolley wire, using the remaining diameter obtained by the measuring means,
The management means includes
Unbiased variance processing is performed on the data of multiple remaining diameters measured on the trolley wire in the section corresponding to one drum,
When each remaining diameter is within the estimated section value with 99% reliability, it is determined as normal data, and when it is not within the estimated section value with 99% reliability, it is determined as abnormal data. Trolley wire wear management device.
トロリー線の摺面を、トロリー線の長さ方向に垂直な方向に光を走査する光走査手段と、
前記摺面により反射した光を受光する受光手段と、
前記受光手段で受光した前記摺面による反射光から、当該反射光の始点と終点とを求め、前記始点と前記終点から前記摺面の幅を求め、当該幅に基づいて、トロリー線の残存直径を求める測定手段と、
前記測定手段により求めた残存直径を用いて、トロリー線の摩耗状態を管理する管理手段とを有するトロリー線の摩耗管理装置において、
前記管理手段は、
1ドラムに該当する区間のトロリー線において計測されたn個の残存直径hi(i=1〜n)のデータを用いて、n個の前記残存直径hiの平均haveを求めると共に、不偏分散σ2=Σ(hi−have2/(n−1)を求め、
各残存直径hiが、信頼度99%の区間推定値μ[但し、have−2.58×σ/√n<μ<have+2.58×σ/√n]の範囲内に有る場合には、正常データと判定し、上記区間推定値内にない場合には、異常データと判定することを特徴とするトロリー線の摩耗管理装置。
Optical scanning means for scanning light in a direction perpendicular to the length direction of the trolley line on the sliding surface of the trolley line;
A light receiving means for receiving light reflected by the sliding surface;
From the reflected light from the sliding surface received by the light receiving means, the start point and end point of the reflected light are obtained, the width of the sliding surface is obtained from the start point and the end point, and the remaining diameter of the trolley wire based on the width Measuring means for obtaining
In the trolley wire wear management device having a management means for managing the wear state of the trolley wire, using the remaining diameter obtained by the measuring means,
The management means includes
Using the data of the n remaining diameters h i (i = 1 to n) measured on the trolley line of the section corresponding to one drum, the average h ave of the n remaining diameters h i is obtained, and the unbiased variance sigma 2 = sigma seeking (h i -h ave) 2 / (n-1),
When each remaining diameter h i is in the range of 99% confidence interval estimated value μ [where h ave −2.58 × σ / √n <μ <h ave + 2.58 × σ / √n] In the trolley wire wear management apparatus, it is determined that the data is normal data, and if the data is not within the section estimated value, the data is determined to be abnormal data.
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