JPH0515990B2 - - Google Patents
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- Publication number
- JPH0515990B2 JPH0515990B2 JP58009767A JP976783A JPH0515990B2 JP H0515990 B2 JPH0515990 B2 JP H0515990B2 JP 58009767 A JP58009767 A JP 58009767A JP 976783 A JP976783 A JP 976783A JP H0515990 B2 JPH0515990 B2 JP H0515990B2
- Authority
- JP
- Japan
- Prior art keywords
- fault point
- distribution line
- impedance
- ground fault
- value
- 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 - Lifetime
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- Emergency Protection Circuit Devices (AREA)
- Locating Faults (AREA)
Description
〔発明の属する技術分野〕
本発明は三相送配電線路中で地絡故障が生じた
とき、地絡故障点の位置の標定、例えばある測定
点からの該地絡故障を生じた送配電線中の故障点
までの距離の推定を行なう方法に関する。
〔従来技術とその問題点〕
在来のかかる故障位置標定の最も簡単な手段
は、ある測定点から地絡故障点までの送配電線の
インピーダンスを測定して、これと該送配電線の
特性インピーダンスとから故障点までの距離を推
定するものであるが、装置が比較的簡易に構成で
きる反面、地絡故障点における送配電線と大地と
のインピーダンスすなわちいわゆる故障点インピ
ーダンスの値によつて距離の推定値に誤差が生じ
やすいことが一般に知られている。
前記の故障点インピーダンスは主として抵抗性
であり、この点に注目して送配電線のリアクタン
ス成分を重点に測定して故障点を標定する手段も
公知である。しかし、非接地送配電系におけるあ
る測定例では架空線の断面が60mm2のとき地絡故障
点における故障点インピーダンスの抵抗分は0〜
20キロオームの間の広範囲に変動しうることが知
られている。一方において標定距離の誤差を100
メートル以内に納めるには、送配電線の地絡故障
によるインピーダンスの変化を抵抗分で0.03オー
ム、リアクタンス分でも0.03Ω(50ヘルツに対す
る値)以内の精度で測定する必要がある。従つて
故障点インピーダンスが高くて10キロオーム程度
ある場合には、故障点インピーダンスの10-5〜
10-6すなわち少なくとも千分の1パーセント以上
の精度の測定が必要になり、実用的にはかかる測
定は不可能に近い。
このため、故障点インピーダンスの影響を余り
受けないで送配電線の故障点までのインピーダン
スもしくはこれに関連する電気量を精密に測定す
る手段として、本出願人は特願昭56−22423号の
発明を出願した。しかし、当該発明では測定用電
源の周波数を比較的低くとる必要があり、測定用
電源を高圧ないし超高圧の送配電線に結合するた
めの変成器などの結合器を経済的に製作するには
当該測定用電源の周波数を高めるのが望ましい
が、周波数を数百ヘルツ程度にまで上げると送配
電線のもつ分布キヤパシタンスの影響が無視でき
なくなつてしまう。
〔発明の目的〕
本発明は以上に説明した従来技術の欠点ないし
問題点の認識に立脚して、地絡故障点における故
障点インピーダンスの変動の影響が少なく、かつ
送配電線への標定用交流電圧の注入を簡単にでき
るよう試験用電源の周波数を高くとつても送配電
線のもつ分布キヤパシタンスの影響を受けること
が少ない送配電線路の地絡故障点を標定する方法
を実現することにある。
〔発明の要点〕
本発明によれば上述の目的を達成するために、
故障点標定をすべき送配電線路区間の両端に地絡
故障が生じた送配電線に標定用の交流電流を注入
する電流源回路をそれぞれ設けておき、地絡故障
が生じたとき両端の電流源回路から同一周波数、
同一振幅でかつ互いに逆位相の標定電流をそれぞ
れ当該地絡事故送配線に注入する。地絡事故発生
点における故障点インピーダンスにはこれら両電
流源回路から注入された標定用電流が重畳して流
れることになるが、前述のように両測定用電流は
逆位相なので両者は実質的に相殺され、当該故障
点インピーダンスには全く測定用電流が流れない
かあるいは流れても従来手段に比して極めて小さ
な電流が流れるに過ぎなくなる。このことが本発
明方法が故障点インピーダンスの影響を受けるこ
とが本質的に少ない大きな理由になつている。
さて、地絡故障が生じると、標定用電流に対す
る送配電線のインピーダンスが正規状態から当然
変化し、従つて標定用電流を供給する電流源回路
内の特性電気値たとえば無効電力値もこれに応じ
て変化するので、本発明による標定にあたつては
かかる特性電気値を測定して第1の測定値とす
る。この第1の測定値は地絡故障点の位置の関数
であるが、同時に故障点インピーダンスの関数で
もあるので、故障インピーダンスの値が決まらな
いと地絡故障点の位置を決めることができない。
このため本発明においては第2の測定値として
地絡故障時の三相送配電線の零相電圧を測定す
る。この零相電圧は故障点インピーダンスの関数
ではあるが、地絡故障点の位置とは関係しない。
従つてこの零相電圧の測定値から故障点インピー
ダンスの値を一義的に決めることができ、次にこ
の故障点インピーダンスの値を用いて第1の測定
値から容易に地絡故障点の位置を標定することが
できる。
〔発明の実施例〕
次に図面を参照しながら本発明の実施例を説明
する。第1図は本発明の原理説明図であつて、L
が1本の送配電線を模式的に示し、その長さlが
本発明方法によつて地絡故障を標定すべき区間を
示している。該区間の両端には電流源回路1,2
がそれぞれ設けられて適当な結合手段を介して高
電圧の送配電線Lに標定用電流を注入するのであ
るが、この図では簡単化のため標定用電流I1,
I2が電流源回路1,2から送配電線Lに直接注
入されるよう描かれている。これら測定電流は同
一の周波数fと同一の振幅ISをもつように制御さ
れるが、その位相は互いに逆位相に選ばれる。こ
の逆位相であることを示すため、第1図では電流
源回路2の測定用電流I2は送配電線Lから注出
される方向に矢印が付されている。地絡故障点は
Fで示され、この点と大地との間の故障点インピ
ーダンスすなわち地絡抵抗はRgであり、送配電
線区間Lの左端から地絡故障点Fまでの距離がχ
であるとする。
いま地絡故障点Fが送配電線区間Lの中央点に
あり、従つてx=l/2であつたとすると、故障
点インピーダンスRgには電流源回路1からの測
定用電流I1に比例する電流I1′と電流源回路
2からの測定用電流I2に比例する電流I2′と
が互いに逆方向に流れ、容易に諒解されるように
I1′とI2′の大きさは等しいので、両電流I
1′とI2′とは相殺し合つて故障点インピーダン
スRgに流れる電流は零になる。しかし、地絡故
障点Fが中央点以外にあるときには、送配電線L
の左端から故障点FまでのインピーダンスZ1と
右端から故障点FまでのインピーダンスZ2はそ
れらの間の送配電線の長さxおよびl−xに比例
するから、インピーダンスZ1,Z2の値は相異
なり、故障点Fにおける2電流I1′,I2′の大
きさも異なつて来て両電流は完全には相殺しな
い。かかる一般的な場合には次の方程式が成立す
る。
V1
I1=A1 B1
C1 D11
1/Rg 0
1A2 B2
C2 D2V2
I2 ……(1)
上式中のすべての符号はベクトル量であり、V
1,V2は第1図に示すように送配電線Lの左端
および右端の電圧であるが、これらは周波数fの
測定用電流回路の電圧であつて送配電線の商用周
波電圧とは異なることに留意されたい。
またその他の符号の内容は次のとおりである。
Rω=(YZ)1/2 (伝播定数)
Zω=(Z/Y)1/2 (特性インピーダンス)
Y:等価対地アドミツタンス/単位長
Z:等価インピーダンス/単位長
A1=cosh(Rω・x)
C1=(1/Zω)sinh(Rωx)
B1=Zωsinh(Rωx)
D1=cosh(Rωx)
A2=cosh{Rω(l−x)}
C2=(1/Zω)sinh{Rω(l−x)}
B2=Zωsinh{Rω(l−x)}
D2=cosh{Rω(l−x)}
さて、前述のようにI1=I2=ISであるから、こ
の条件を(1)式に入れて同式左辺のV1の値を故障
点インピーダンスRgをパラメータとしxを変数
として求めることができる。ここで、V1を故障
点インピーダンスRgと距離xとの関数f1、f2の一
般式にて表すと、次のように表せる。
V〓1=f1(Rg,x)+jf2(Rg,x) ……(1A)
(但し、Isを基準としたベクトル表示)
なお、V〓1は(1)式を分解することにより(1B)
式の如く故障点インピーダンスRgと距離xとで
詳細に表すことができる。
V〓1=ZωIs(B/A) ……(1B)
但し、
B=cosh(Rωl)−1+Zω{sinh(Rωl)+sinh(Rω
(2x−l))}/2Rg
A=sinh(Rωl)+Zω{cosh(Rωl)+cosh(Rω(
2x−l))}/2Rg
一方、送配電線の左端側における無効電力Qは
次のように表せる。
Q=V1・Is・sinθ ……(1C)
(但し、θはV1とIsとの間の位相角)
従つて、(1C)式は(1A)式および(1B)式
により次のように書き直せる。
Q=Im{V〓1・Is}
=Is2・Im(Is・D/C) ……(1D)
但し、Im:ベクトルの虚部
D=cosh(Rωl)−1+Zω{sinh(Rωl)+sinh(Rω
(2x−l))}/2Rg
C=sinh(Rωl)+Zω{cosh(Rωl)+cosh(Rω(
2x−l))}/2Rg
なお、Imの中の展開はRω、Zωがそれぞれ複
素数でありので、これ以上の展開式を表現するこ
とは困難であり、数値的に解析する方が簡便であ
る。
但し、等価アドミツタンスYおよび等価インピ
ーダンスZが以下の仮定の下に虚部だけで表現さ
れる場合には、Rω、Zωは次式のように書き直せ
るので、無効電力Qは(1E)式のようになる。
[Technical field to which the invention pertains] The present invention relates to locating the position of the ground fault point when a ground fault occurs in a three-phase power transmission/distribution line, for example, to identify the position of the power transmission/distribution line where the ground fault has occurred from a certain measurement point. This invention relates to a method for estimating the distance to a fault point in a vehicle. [Prior art and its problems] The simplest conventional means of locating the fault location is to measure the impedance of the power transmission and distribution line from a certain measurement point to the ground fault point, and to compare this with the characteristics of the power transmission and distribution line. This method estimates the distance to the fault point based on the impedance, but while the device can be constructed relatively easily, the distance can be estimated based on the impedance between the power transmission and distribution line at the fault point and the ground, that is, the value of the so-called fault point impedance. It is generally known that errors are likely to occur in the estimated value of . The impedance at the fault point is mainly resistive, and with this in mind, there is also a known method for locating the fault point by measuring the reactance component of the power transmission and distribution line with emphasis. However, in a measurement example in an ungrounded power transmission and distribution system, when the cross section of the overhead line is 60mm2 , the resistance component of the fault point impedance at the ground fault fault point is 0 ~
It is known that it can vary widely between 20 kilohms. On the other hand, the error in the orientation distance is set to 100
In order to be within this range, it is necessary to measure impedance changes due to ground faults in transmission and distribution lines with an accuracy of 0.03 ohm for resistance and 0.03 ohm for reactance (value for 50 hertz). Therefore, if the impedance at the fault point is high and is about 10 kilohms, the impedance at the fault point is 10 -5 ~
10 -6 , that is, measurement with an accuracy of at least 1/1000 percent is required, and such measurement is practically impossible. For this reason, the present applicant has proposed the invention of Japanese Patent Application No. 56-22423 as a means to precisely measure the impedance up to the fault point of a power transmission and distribution line or the amount of electricity related thereto without being affected by the impedance at the fault point. has been applied for. However, in this invention, it is necessary to keep the frequency of the power supply for measurement relatively low, and it is difficult to economically manufacture a coupler such as a transformer for coupling the power supply for measurement to high voltage or ultra-high voltage transmission and distribution lines. It is desirable to increase the frequency of the measurement power supply, but if the frequency is increased to about several hundred hertz, the influence of distributed capacitance of power transmission and distribution lines cannot be ignored. [Object of the Invention] The present invention is based on the recognition of the drawbacks or problems of the prior art described above, and provides an AC power source that is less affected by fluctuations in fault point impedance at a ground fault fault point, and that is The purpose of this invention is to realize a method for locating the ground fault point of a power transmission/distribution line that is less affected by the distributed capacitance of the power transmission/distribution line even if the frequency of the test power supply is set high so that voltage can be easily injected. . [Summary of the Invention] According to the present invention, in order to achieve the above object,
Current source circuits that inject alternating current for locating into the transmission and distribution line where a ground fault has occurred are installed at both ends of the transmission and distribution line section where the fault point should be located, and when a ground fault occurs, the current at both ends is Same frequency from the source circuit,
Location currents with the same amplitude and opposite phases are injected into the ground fault transmission line. The locating currents injected from these two current source circuits will superimpose and flow in the fault point impedance at the point where the ground fault occurs, but as mentioned above, since the two measuring currents are in opposite phases, they are essentially As a result, no measuring current flows through the impedance at the fault point, or even if it does, only a very small current flows as compared to the conventional means. This is a major reason why the method of the present invention is essentially less affected by fault point impedance. Now, when a ground fault occurs, the impedance of the power transmission and distribution line for the locating current naturally changes from its normal state, and therefore the characteristic electrical values, such as the reactive power value, in the current source circuit that supplies the locating current also change accordingly. Therefore, in the orientation according to the present invention, such characteristic electric value is measured and used as the first measurement value. This first measurement value is a function of the location of the ground fault point, but is also a function of the fault point impedance, so the location of the ground fault point cannot be determined unless the value of the fault impedance is determined. Therefore, in the present invention, the zero-sequence voltage of the three-phase power transmission and distribution line at the time of a ground fault is measured as the second measurement value. Although this zero-sequence voltage is a function of the fault point impedance, it is not related to the location of the ground fault point.
Therefore, the value of the fault point impedance can be uniquely determined from the measured value of this zero-sequence voltage, and then the position of the ground fault fault point can be easily determined from the first measured value using this fault point impedance value. can be located. [Embodiments of the Invention] Next, embodiments of the present invention will be described with reference to the drawings. FIG. 1 is an explanatory diagram of the principle of the present invention, and L
schematically represents one power transmission/distribution line, and its length l represents the section in which a ground fault should be located by the method of the present invention. Current source circuits 1 and 2 are installed at both ends of the section.
are provided respectively to inject the locating current into the high-voltage power transmission/distribution line L through appropriate coupling means, but in this figure, for the sake of simplicity, the locating current I1,
I2 is depicted as being directly injected from the current source circuits 1 and 2 into the power transmission/distribution line L. These measuring currents are controlled to have the same frequency f and the same amplitude IS , but their phases are chosen to be opposite to each other. In order to indicate this opposite phase, an arrow is attached in FIG. 1 in the direction in which the measuring current I2 of the current source circuit 2 is drawn out from the power transmission/distribution line L. The ground fault point is indicated by F, the fault point impedance between this point and the ground, that is, the ground fault resistance, is Rg, and the distance from the left end of the transmission/distribution line section L to the ground fault point F is χ
Suppose that Now, if the ground fault fault point F is located at the center point of the transmission and distribution line section L, and therefore x = l/2, then the fault point impedance Rg has a current proportional to the measurement current I1 from the current source circuit 1. I1' and a current I2' proportional to the measurement current I2 from the current source circuit 2 flow in opposite directions, and as is easily understood, the magnitudes of I1' and I2' are equal, so both currents I
1' and I2' cancel each other out, and the current flowing through the fault point impedance Rg becomes zero. However, when the ground fault point F is located other than the center point, the power transmission and distribution line L
Since the impedance Z1 from the left end to the fault point F and the impedance Z2 from the right end to the fault point F are proportional to the lengths x and l-x of the transmission and distribution lines between them, the values of impedances Z1 and Z2 are different. , the magnitudes of the two currents I1' and I2' at the fault point F also differ, and the two currents do not cancel each other out completely. In such a general case, the following equation holds. V1 I1=A1 B1 C1 D11 1/Rg 0 1A2 B2 C2 D2V2 I2 ...(1) All signs in the above formula are vector quantities, and V
1. V2 is the voltage at the left end and right end of the power transmission and distribution line L as shown in Figure 1, but these are the voltages of the measurement current circuit of frequency f and are different from the commercial frequency voltage of the power transmission and distribution line. Please note that. The contents of other symbols are as follows. Rω=(YZ) 1/2 (Propagation constant) Zω=(Z/Y) 1/2 (Characteristic impedance) Y: Equivalent ground admittance/unit length Z: Equivalent impedance/unit length A1=cosh(Rω・x) C1 = (1/Zω) sinh (Rωx) B1 = Zωsinh (Rωx) D1 = cosh (Rωx) A2 = cosh {Rω (l-x)} C2 = (1/Zω) sinh {Rω (l-x)} B2 =Zωsinh{Rω(l-x)} D2=cosh{Rω(l-x)} Now, as mentioned above, since I 1 = I 2 = I S , we can put this condition into equation (1) and do the same thing. The value of V1 on the left side of the equation can be determined using the fault point impedance Rg as a parameter and x as a variable. Here, when V 1 is expressed by a general formula of functions f 1 and f 2 of the fault point impedance Rg and the distance x, it can be expressed as follows. V〓1=f 1 (Rg, x) + jf 2 (Rg, x) ... (1A) (however, expressed as a vector based on Is) Note that V〓1 can be obtained by decomposing equation (1) ( 1B)
It can be expressed in detail by the fault point impedance Rg and the distance x as shown in the equation. V〓1=ZωIs(B/A) ……(1B) However, B=cosh(Rωl)−1+Zω{sinh(Rωl)+sinh(Rω
(2x−l))}/2Rg A=sinh(Rωl)+Zω{cosh(Rωl)+cosh(Rω(
2x−l))}/2Rg On the other hand, the reactive power Q on the left end side of the power transmission and distribution line can be expressed as follows. Q=V1・Is・sinθ...(1C) (where θ is the phase angle between V1 and Is ) Therefore, equation (1C) can be written as follows using equations (1A) and (1B). Can be rewritten. Q=Im{V〓1・Is} =Is 2・Im(Is・D/C) ...(1D) However, Im: Imaginary part of the vector D=cosh(Rωl)−1+Zω{sinh(Rωl)+sinh( Rω
(2x−l))}/2Rg C=sinh(Rωl)+Zω{cosh(Rωl)+cosh(Rω(
2x−l))}/2Rg In the expansion in Im, Rω and Zω are each complex numbers, so it is difficult to express a larger expansion formula, and it is easier to analyze numerically. . However, if the equivalent admittance Y and equivalent impedance Z are expressed only by the imaginary part under the following assumptions, Rω and Zω can be rewritten as shown in the following equation, so the reactive power Q is expressed as shown in equation (1E). Become.
Y=g+jωCにおいて g≒0
Z=r+jωLにおいて r≒0
とする。
Rω=(YZ)1/2=(jωC・jωL)1/2=jω(L・C)
1/2
Zω=(Z/Y)1/2=(jωL/jωC)1/2=(L/C
)1/
2
Q=Is2・(H/G) ……(1E)
但し、
H=2・Rg2・L/C・〔{cos(ω(LC)1/2l)−
1}・cos{ω(LC)1/2(l−2x)}+cos2(ω
(LC)1/2l)−cos(ω(LC)1/2l)−sin{ω
(LC)1/2(l−2x)}×sin(ω(LC)1/2l)+
sin2(ω(LC)1/2l)〕
G=(L/C)〔cos{ω(LC)1/2(l−2x)}+cos
(ω(LC)1/2l)〕2+{2Rg (ω(LC)1/2l)}
2
なお、上記(1B)式、(1D)式および(1E)
式は分布定数で表現された送配電線の左端側にお
ける電圧V〓1および送配電線の左端側における無
効電力Qの式である。しかしながら、かかる電圧
V〓1および無効電力Qは周知のように等価集中定
数で表現することも可能である。
しかして、無効電力Qは測定により求めること
ができるので、故障点インピーダンスRgをパラ
メータとし距離xを変数として(1D)式を描い
たのが第2図である。
第2図の横軸は送配電線の左端から地絡故障点
Fまでの距離x、縦軸は前述の無効電力Qであつ
て、図の曲線Roは故障点インピーダンスRgが零
すなわち完全接地の場合、曲線R5,R10は故
障点インピーダンスがそれぞれ5、10キロオーム
の場合、曲線Rは故障点インピーダンスが無限大
すなわち地絡故障がない場合に対応する。ただし
この数値計算は送配銅線が60mm2断面の架空鋼線の
分布インダクタンス0.001mH/m、分布キヤパ
シタンス0.01nF/m、測定用電流の周波数f=
300Hz、注入電流値IS=IA、送配電線長l=5Km
として無効電力Qを求めたもので、6.6kV級の配
電線の代表的な値である。
第2図に表わされた結果から次のことがわか
る。送配電線の中央点で接地故障が生じた場合は
該線区端における無効電力Qは故障点インピーダ
ンスRgのいかんに拘らず地絡故障が全くない場
合の無効電力Q0に等しい。これは前述のように
故障が中央店にあるとき故障点インピーダンス
Rgに測定電流が全く流れないことからも容易に
予測されたところにある。つぎに地絡故障点まで
の距離xが中央点からはずれると、故障点インピ
ーダンスRgの値に応じて無効電力値Qの値は距
離xのほぼ直線的な関数に従つて変化する。従つ
て故障点インピーダンスRgの値さえわかれば第
2図に示すような関係を用いて、前述の第1の測
定値である無効電力Qの測定値から極めて簡単に
距離xを求めることができる。
この故障点インピーダンスRgの値を求めるた
めに、本発明においては第2の測定値として地絡
故障時の三相送配電線路の商用周波に対する零相
電圧を測定する。この零相電圧V0は次式で表わ
される。
V0=E/(1+Rg/Rn)+jωCbRg ……(2)
ただし(2)式において、
E:三相送配電線の相電圧
Rn:中性点接地抵抗
Cb:対地静電容量(三相分)
ω=2πf,f:周波数(商用周波)
である。(2)式においてE=6.6/√3kV、Rn=
10キロオーム、Cb=3μF、f=50Hzとしたときの
V0とRgとの間の関係を第3図に示す。なお、上
の(2)式の対地静電容量Cbは三相送配電線路全体
の値であり、故障点から見たこの値は故障点の位
置に関せず一定であり、従つて零相電圧V0は故
障点の位置に関係せず線路がきまれば故障点イン
ピーダンスの値にのみ関係することがわかる。
以上のように第1測定値である前述の特性電気
値たとえば無効電力Qと第2の測定値である零相
電圧V0とが測定されると、該零相電圧V0の値か
ら第3図のような関係によつて故障点インピーダ
ンスRgの値が知られ、この故障点インピーダン
スRgの値と無効電力Qの値とから第2図に示す
ような関係によつて地絡故障点までの距離xを求
めることができる。
つぎに上述の原理を用いた送配電線路の地絡故
障点標定の方法を第4図により説明する。第4図
では送配電線路Lは三相の高圧架空線L1,L2
およびL3からなり、このうち架空線L2の故障
点Fに故障点インピーダンスRgの地絡故障が生
じた場合が示されている。電流源回路1,2は当
該送配電線路区間Lの両端にそれぞれ配設され、
定電流発生装置11,21で発生した同一周波
数、同一振幅の標定用電流を変流器12,22を
介して高圧の送配電線の内の1本に測定用電流を
注入する。もちろん区間の左右端からは互いに逆
位相の標定用電流が注入される。地絡判別装置1
3,23は公知の装置であつてよいので簡略化し
て描かれており、地絡故障を生じた送配電線を見
付けてその線に対応する開閉器14,24の接点
を選択的に閉じて各3個の変流器12,22のう
ちの対応する変流器のみに定電流装置11,21
からの電流を流して故障線に測定用電流を注入す
る。なお、変流器15,25は所定の送配電線路
区間外に標定用電流が流出するのを防ぐためのも
のであつて、前述の地絡相判別装置13,23か
らの指令によつて開閉器16の接点を選択的に閉
じて、各3個の変流器15,25のうちの対応す
る変流器の回路のみを事故線に接続する。またフ
イルタ17,27は変流器12,22を介して電
流源回路1,2内に侵入してくる商用周波信号を
除去するためのものである。
測定回路30は電流源回路1,2の特性電気値
たとえば無効電力、電圧、力率などを測定するも
のである。図示の電流源回路1,2の構成におい
て、定電流装置11または21からの定電流はそ
れぞれ3個の変流器12または22のうちの一つ
を流れ、さらにそれぞれ3個の変流器15または
25のうちの一つおよび開閉器14または24を
通つて測定器30に入り、そこからそれぞれ定電
流装置11または21に帰る。なお、測定器30
は線路区間Lの測定端たとえば図の左方の電流源
回路1側にのみ設けるだけでよい。
いま電流源回路1の方を測定端として故障点標
定の方法を説明する。図示のように送配電線L2
の故障点Fで地絡故障が生じると、図示しない地
絡検出装置が地絡が生じたことを検出し、これに
よつて地絡相判別装置13,23が動作して送配
電線L2が故障線であることを判別し、開閉器1
4,24および開閉器16,26の接点を選択的
に閉じて事故線に対応する変流器12,22およ
び変流器15,25を電流源回路1,2にそれぞ
れ接続する。この状態において測定器30は電流
源回路1内の特性電気値例えば無効電力Qを測定
する。これが第1の測定値となる。同時に公知の
図示しない手段により三相送配電線路の零相電圧
V0を測定する。例えば送配電線L1〜L3の各
線に接続された電圧変成器の出力を相加して平均
値をとるだけで地絡故障時の零相電圧V0を第2
の測定値として簡単に読取りないしは記録するこ
とができる。なお、この零相電圧V0は区間L内
で測定する必要はなく、三相送配電線路のどこで
測定してもよい。
前述のように第1の測定値(無効電力Q)と第
2の測定値(零相電圧V0)が判れば、故障点ま
での距離xを容易に推定することができる。すな
わち、先ず、第2の測定値である零相電圧V0の
値から(2)式により、あるいはこの(2)式に基づいて
零相電圧V0と故障点インピーダンスRgとの関係
を表した第3図により、故障点インピーダンス
Rgの値を求める。次に、第1の測定値である無
効電力Qと上記のようにして求められた故障点イ
ンピーダンスRgの値とから、この故障点インピ
ーダンスRgの値に対応する距離xの値を、(1C)
式により、あるいはこの(1C)式に基づいて故
障点インピーダンスRgをパラメータとし無効電
力Qと距離xとの関係を表した第2図から、求め
ることができる。
つまり、先ず、第2の測定値である零相電圧
V0を(2)式に代入して(2)式を解くことにより、ま
たは、第3図の零相電圧V0と故障点インピーダ
ンスRgとの関係により故障点インピーダンスRg
の値が判明する。次に、このようにして判明した
故障点インピーダンスRgの値と第1の測定値で
ある無効電力Qとを(1C)式に代入して(1C)
式を解くことにより、または、第2図(判明した
故障点インピーダンスRgの値が例えばR5である
とすると、縦軸の無効電力Qの値のところから横
軸に直線を引いたときのその直線と曲線R5との
交点における横軸xの値が求める距離xとなる。)
から、距離xを求めることができる。
上記のような故障点標定にあたつては、測定電
流の周波数は数百ないし数千ヘルツの範囲に選ぶ
ことができる。また上述の説明においては測定す
べき特性電気値として主に無効電力について説明
したが、必ずしもこれに限定されるものではな
く、無効力率でも、インピーダンス値でも、ある
いは有効電力であつても差し支えない。
〔発明の効果〕
以上説明したとおり、本発明においては地絡故
障標定をすべき送配電線路区間の両端に該区間の
送配電線に評定用交流電流を注入する電流源回路
をそれぞれ設けて、両電流源回路から同一周波
数、同一振幅かつ互いに逆位相の標定用電流を送
配電線に注入した状態において、測定端となる電
流源回路において無効電力などの特性電気値を第
1の測定値として測定し、一方三相送配電線路の
地絡故障時の零相電圧を第2の測定値として測定
して、該第1および第2の測定値から地絡故障点
の測定端からの距離を推定するようにしたので、
地絡故障点の故障点インピーダンスに流れる標定
用電流が本質的に少なく、従つて該故障点インピ
ーダンスが高い場合においても地絡故障点の位置
ないし距離の評定誤差が従来技術に比して少ない
利点がある。また第2図から読み取れるように本
発明の場合には評定電流の周波数が数百ヘルツ
(第2図は300ヘルツに対するもの)になつても、
故障点までの距離xと第1の測定値例えば無効電
力値Qとの関係は明確な相関関係があり、従つて
第1の測定値に対応して求める距離xを正確に決
めることができる。さらに前述のQとxとの相関
はほとんど直線的であり、xの推定に便利な点は
もちろん評定周波数がさらに高くなつても本発明
の方法が利用できることを示している。具体的に
は数千ヘルツまで適用が可能なことがわかつてお
り、従つて本発明の方法は従来技術に較べて評定
電流の周波数を高く選定して送配電線への評定電
流の注入のための装置を経済化できる利点を有す
る。この利点はとくに配電線網中の地絡故障点を
評定するため、多数の個所に評定区間を設定しな
ければならない時に大きな意味をもつものであ
る。
Let g≒0 at Y=g+jωC and r≒0 at Z=r+jωL. Rω = (YZ) 1/2 = (jωC・jωL) 1/2 = jω(L・C)
1/2 Zω=(Z/Y) 1/2 =(jωL/jωC) 1/2 =(L/C
) 1/
2 Q=Is 2・(H/G) ……(1E) However, H=2・Rg 2・L/C・[{cos(ω(LC) 1/2 l)−
1}・cos {ω(LC) 1/2 (l−2x)}+cos 2 (ω
(LC) 1/2 l)−cos(ω(LC) 1/2 l)−sin{ω
(LC) 1/2 (l−2x)}×sin(ω(LC) 1/2 l)+
sin 2 (ω(LC) 1/2 l)] G=(L/C) [cos {ω(LC) 1/2 (l-2x)}+cos
(ω(LC) 1/2 l)] 2 + {2Rg (ω(LC) 1/2 l)}
2In addition, the above formulas (1B), (1D) and (1E)
The equation is an equation for the voltage V〓1 on the left end side of the power transmission/distribution line and the reactive power Q on the left end side of the power transmission/distribution line expressed as a distributed constant. However, the voltage
As is well known, V〓1 and reactive power Q can also be expressed by equivalent lumped constants. Since the reactive power Q can be determined by measurement, equation (1D) is drawn in FIG. 2 with the failure point impedance Rg as a parameter and the distance x as a variable. The horizontal axis of Fig. 2 is the distance x from the left end of the power transmission/distribution line to the ground fault point F, and the vertical axis is the aforementioned reactive power Q. The curve Ro in the figure shows the case where the fault point impedance Rg is zero, that is, when the fault point F is completely grounded. In this case, the curves R5 and R10 correspond to the case where the impedance at the fault point is 5 and 10 kilohms, respectively, and the curve R corresponds to the case where the impedance at the fault point is infinite, that is, there is no ground fault. However, in this numerical calculation, the transmission and distribution line is 60 mm, the distributed inductance of the overhead steel wire with 2 cross sections is 0.001 mH/m, the distributed capacitance is 0.01 nF/m, and the frequency of the measurement current f =
300Hz, injection current value I S =IA, transmission and distribution line length l = 5Km
The reactive power Q was calculated as follows, and is a typical value for 6.6kV class distribution lines. The following can be seen from the results shown in FIG. When a ground fault occurs at the center point of a transmission/distribution line, the reactive power Q at the end of the line is equal to the reactive power Q 0 when there is no ground fault, regardless of the impedance Rg at the fault point. This is the fault point impedance when the fault is at the central store as mentioned above.
This was easily predicted from the fact that no measurement current flows through Rg. Next, when the distance x to the ground fault point deviates from the center point, the value of the reactive power value Q changes according to the value of the fault point impedance Rg according to a substantially linear function of the distance x. Therefore, as long as the value of the fault point impedance Rg is known, the distance x can be very easily determined from the measured value of the reactive power Q, which is the first measured value, using the relationship shown in FIG. In order to obtain the value of this fault point impedance Rg, in the present invention, the zero-sequence voltage with respect to the commercial frequency of the three-phase power transmission and distribution line at the time of a ground fault is measured as a second measurement value. This zero-sequence voltage V 0 is expressed by the following equation. V 0 =E/(1+Rg/Rn)+jωCbRg...(2) However, in equation (2), E: Phase voltage of three-phase transmission and distribution line Rn: Neutral point grounding resistance Cb: Ground capacitance (three-phase portion) ) ω=2πf, f: frequency (commercial frequency). In equation (2), E=6.6/√3kV, Rn=
When 10 kiloohm, Cb=3μF, f=50Hz
The relationship between V 0 and Rg is shown in FIG. Note that the ground capacitance C b in Equation (2) above is the value of the entire three-phase transmission and distribution line, and this value as seen from the fault point is constant regardless of the location of the fault point, so it is zero. It can be seen that the phase voltage V 0 is not related to the position of the fault point, but only to the value of the fault point impedance once the line is determined. As described above, when the above-mentioned characteristic electric value, such as the reactive power Q, which is the first measurement value, and the zero-sequence voltage V 0 , which is the second measurement value, is measured, the third measurement value is calculated from the value of the zero-sequence voltage V 0 . The value of the fault point impedance Rg is known from the relationship shown in the figure, and from the value of the fault point impedance Rg and the value of the reactive power Q, the distance to the ground fault fault point can be calculated from the relationship shown in Figure 2. The distance x can be found. Next, a method for locating a ground fault point in a power transmission/distribution line using the above-mentioned principle will be explained with reference to FIG. In Figure 4, the power transmission and distribution lines L are three-phase high voltage overhead lines L1 and L2.
and L3, of which a case where a ground fault with fault point impedance Rg occurs at fault point F of overhead line L2 is shown. Current source circuits 1 and 2 are respectively arranged at both ends of the transmission and distribution line section L,
The locating currents of the same frequency and the same amplitude generated by the constant current generators 11 and 21 are injected into one of the high voltage transmission and distribution lines via the current transformers 12 and 22. Of course, locating currents with mutually opposite phases are injected from the left and right ends of the section. Ground fault determination device 1
Reference numerals 3 and 23 are shown in a simplified manner because they may be well-known devices, which detect the power transmission/distribution line where the ground fault has occurred and selectively close the contacts of the switches 14 and 24 corresponding to that line. Constant current device 11, 21 only for the corresponding current transformer among the three current transformers 12, 22
The measurement current is injected into the fault wire by passing a current from the The current transformers 15 and 25 are used to prevent the locating current from flowing out of the predetermined transmission and distribution line section, and are opened and closed in response to commands from the ground fault phase determination devices 13 and 23 described above. The contacts of the transformer 16 are selectively closed to connect only the circuit of the corresponding one of the three current transformers 15, 25 to the fault line. The filters 17 and 27 are used to remove commercial frequency signals that enter the current source circuits 1 and 2 via the current transformers 12 and 22. The measuring circuit 30 measures characteristic electrical values of the current source circuits 1 and 2, such as reactive power, voltage, and power factor. In the illustrated configuration of the current source circuits 1, 2, the constant current from the constant current device 11 or 21 flows through one of the three current transformers 12 or 22, respectively, and further flows through one of the three current transformers 15, respectively. or 25 and the switch 14 or 24 into the measuring device 30 and from there return to the constant current device 11 or 21, respectively. In addition, the measuring device 30
need only be provided at the measuring end of the line section L, for example, on the current source circuit 1 side on the left side of the figure. Now, the method of locating the fault point will be explained using the current source circuit 1 as the measurement end. As shown in the diagram, power transmission and distribution line L2
When a ground fault occurs at fault point F, a ground fault detection device (not shown) detects that a ground fault has occurred, and as a result, the ground fault phase discrimination devices 13 and 23 operate, and the transmission/distribution line L2 is It is determined that it is a faulty line, and switch 1 is switched on.
4, 24 and switches 16, 26 are selectively closed to connect current transformers 12, 22 and current transformers 15, 25 corresponding to the fault line to current source circuits 1, 2, respectively. In this state, the measuring device 30 measures a characteristic electrical value, such as reactive power Q, in the current source circuit 1. This becomes the first measurement value. At the same time, the zero-sequence voltage of the three-phase power transmission and distribution line is
Measure V 0 . For example, by simply adding the outputs of the voltage transformers connected to each line of power transmission and distribution lines L1 to L3 and taking the average value, the zero-sequence voltage V 0 at the time of a ground fault can be calculated as the second
can be easily read or recorded as a measured value. Note that this zero-phase voltage V 0 does not need to be measured within section L, and may be measured anywhere on the three-phase power transmission and distribution line. As described above, if the first measured value (reactive power Q) and the second measured value (zero-sequence voltage V 0 ) are known, the distance x to the failure point can be easily estimated. That is, first, from the value of the zero-sequence voltage V 0 , which is the second measured value, the relationship between the zero-sequence voltage V 0 and the fault point impedance Rg is expressed by equation (2) or based on this equation (2). According to Figure 3, the fault point impedance
Find the value of Rg. Next, from the reactive power Q which is the first measurement value and the value of the fault point impedance Rg obtained as above, the value of the distance x corresponding to the value of this fault point impedance Rg is calculated as (1C)
It can be determined by the equation or from FIG. 2, which shows the relationship between the reactive power Q and the distance x using the fault point impedance Rg as a parameter based on the equation (1C). In other words, first, the second measured value, the zero-sequence voltage
By substituting V 0 into equation (2) and solving equation (2), or by using the relationship between the zero-sequence voltage V 0 and the fault point impedance Rg in Figure 3, the fault point impedance Rg can be determined.
The value of is known. Next, by substituting the value of the fault point impedance Rg found in this way and the reactive power Q, which is the first measured value, into equation (1C), we obtain (1C).
By solving the equation, or as shown in Figure 2 (assuming that the value of the found failure point impedance Rg is R5 , for example, the value of reactive power Q on the vertical axis when a straight line is drawn on the horizontal axis The value of the horizontal axis x at the intersection of the straight line and the curve R5 is the required distance x.)
From this, the distance x can be found. When locating the fault point as described above, the frequency of the measurement current can be selected in the range of several hundred to several thousand hertz. In addition, in the above explanation, we mainly explained reactive power as the characteristic electrical value to be measured, but it is not necessarily limited to this, and it may be reactive power factor, impedance value, or active power. . [Effects of the Invention] As explained above, in the present invention, current source circuits for injecting alternating current for evaluation into the transmission and distribution line in the section are provided at both ends of the transmission and distribution line section in which ground fault fault location is to be performed. When locating currents of the same frequency, same amplitude, and mutually opposite phases are injected into the power transmission and distribution line from both current source circuits, characteristic electrical values such as reactive power are measured as the first measurement value in the current source circuit serving as the measurement end. On the other hand, measure the zero-sequence voltage at the time of a ground fault on the three-phase power transmission and distribution line as a second measurement value, and calculate the distance from the measurement end of the ground fault point from the first and second measurement values. I tried to estimate it, so
The locating current flowing through the fault point impedance of the ground fault fault point is essentially small, so even when the fault point impedance is high, the error in evaluating the position or distance of the ground fault fault point is small compared to the conventional technology. There is. Furthermore, as can be seen from Fig. 2, in the case of the present invention, even if the frequency of the rating current is several hundred hertz (Fig. 2 is for 300 hertz),
There is a clear correlation between the distance x to the failure point and the first measured value, for example, the reactive power value Q, and therefore the distance x to be determined corresponding to the first measured value can be determined accurately. Furthermore, the correlation between Q and x described above is almost linear, which shows that the method of the present invention is not only convenient for estimating x, but can also be used even when the evaluation frequency becomes higher. Specifically, it is known that the method can be applied up to several thousand hertz, and therefore, the method of the present invention selects a higher frequency of the rated current compared to the conventional technology to inject the rated current into the transmission and distribution lines. This has the advantage of making the equipment more economical. This advantage is particularly significant when evaluation sections must be established at a large number of locations in order to evaluate ground fault points in a power distribution network.
図面はすべて本発明の内容を説明するものであ
り、第1図は本発明の原理説明のための回路図、
第2図は測定端から地絡故障点までの距離xを変
数とする本発明による評定時に測定すべき特性電
気値の一例としての無効電力の変化を示すダイヤ
グラム、第3図は本発明による評定時に測定され
る零相電圧と故障点インピーダンスとの相関を示
すダイヤグラム、第4図は本発明による評定時の
特性電気値の測定の具体的実施例を説明する回路
図である。図において、1,2:電流源回路、1
1,21:定電流装置、12,22,15,2
5:評定用電流を送配電線に注入する手段として
の変流器、F:地絡故障点、L:地絡故障点を評
定すべき送配電線路、L2:地絡故障を生じた送
配電線、l:送配電線路長、Q:測定すべき電流
源回路の特性電気値の例としての無効電力、
V0:零相電圧、x:測定端から地点故障点まで
の距離、である。
All drawings are for explaining the contents of the present invention, and FIG. 1 is a circuit diagram for explaining the principle of the present invention.
FIG. 2 is a diagram showing changes in reactive power as an example of characteristic electrical values to be measured during evaluation according to the present invention, with the distance x from the measuring end to the ground fault point as a variable, and FIG. FIG. 4 is a circuit diagram illustrating a specific example of measuring characteristic electrical values during evaluation according to the present invention. In the figure, 1, 2: current source circuit, 1
1, 21: constant current device, 12, 22, 15, 2
5: Current transformer as a means for injecting current for evaluation into the transmission and distribution line, F: Ground fault point, L: Transmission and distribution line where the ground fault point should be evaluated, L2: Transmission and distribution line where the ground fault occurred Electric wire, l: power transmission and distribution line length, Q: reactive power as an example of characteristic electrical value of the current source circuit to be measured,
V 0 : Zero-sequence voltage, x : Distance from the measuring end to the point of failure.
Claims (1)
回路を設けて該両電流源回路から同一周波数、同
一振幅かつ互いに逆位相の標定用電流を前記区間
内で地絡故障を生じた送配電線に注入した状態
で、前記電流源回路の無効電力Qと地絡故障時に
おける三相送配電線の零相電圧V0とを測定し、 該零相電圧V0から、地絡故障点の故障点イン
ピーダンスRgを次式に基づいて推定し、 V0=E/(1+Rg/Rn)+jωCbRg 〔E:三相送配電線の相電圧 Rn:中性点接地抵抗 Cb:対地静電容量(三相分) ω=2πf,f:周波数〕 該故障点インピーダンスRgと前記無効電力Q
とから前記区間内の地絡故障点の位置を標定す
る、 ことを特徴とする三相送配電線路の地絡故障点標
定方法。[Scope of Claims] 1. Current source circuits are provided at both ends of a three-phase transmission/distribution line section, and locating currents of the same frequency, same amplitude, and mutually opposite phases are applied from both current source circuits to detect a ground fault within the section. is injected into the transmission and distribution line where the current source circuit occurred, and measure the reactive power Q of the current source circuit and the zero-sequence voltage V 0 of the three-phase transmission and distribution line at the time of the ground fault, and from the zero-sequence voltage V 0 , The fault point impedance Rg of the ground fault fault point is estimated based on the following formula, V 0 = E / (1 + Rg / Rn) + jωCbRg [E: Phase voltage of three-phase transmission and distribution line Rn: Neutral point grounding resistance Cb: Grounding resistance Capacitance (three phases) ω=2πf, f: frequency] The fault point impedance Rg and the reactive power Q
A method for locating a ground fault point in a three-phase power transmission and distribution line, comprising: locating a position of a ground fault point in the section from .
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP976783A JPS59135377A (en) | 1983-01-24 | 1983-01-24 | Method for evaluating grounding fault point of three- phase power transmission distribution line |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP976783A JPS59135377A (en) | 1983-01-24 | 1983-01-24 | Method for evaluating grounding fault point of three- phase power transmission distribution line |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS59135377A JPS59135377A (en) | 1984-08-03 |
| JPH0515990B2 true JPH0515990B2 (en) | 1993-03-03 |
Family
ID=11729417
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP976783A Granted JPS59135377A (en) | 1983-01-24 | 1983-01-24 | Method for evaluating grounding fault point of three- phase power transmission distribution line |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS59135377A (en) |
Families Citing this family (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6145977A (en) * | 1984-08-09 | 1986-03-06 | Takamatsu Electric Works Ltd | Detecting and displaying method of earth point of distribution line |
| JPH0646204B2 (en) * | 1984-09-29 | 1994-06-15 | エナジーサポート株式会社 | Method of detecting ground fault of distribution line |
| JP2011033588A (en) * | 2009-08-05 | 2011-02-17 | Toshiba Corp | Fault point locating method and system thereof |
| CN102621451B (en) * | 2012-03-28 | 2016-01-06 | 北京水木源华电气股份有限公司 | Based on the distribution circuit single-phase earth fault detection method of momentary signal method |
| CN103852688B (en) * | 2012-11-30 | 2016-11-16 | 施耐德电器工业公司 | For the method and apparatus determining the position of earth fault |
| CN103336220B (en) * | 2013-05-29 | 2016-02-03 | 国家电网公司 | The method and apparatus of distribution network failure being monitored and locating |
| CN107064728B (en) * | 2016-09-26 | 2019-10-25 | 国网甘肃省电力公司电力科学研究院 | Single-end holographic frequency domain fault location method for high-voltage transmission lines |
| CN106526413A (en) * | 2016-10-13 | 2017-03-22 | 国家电网公司 | Off-line ground fault detection system and method |
| CN106501678B (en) * | 2016-11-02 | 2019-06-14 | 李晓明 | A kind of earth fault line selection method and system |
| CN106526429B (en) * | 2016-12-06 | 2019-08-13 | 李晓明 | A kind of ground fault line selecting method with error correction |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0235952B2 (en) * | 1981-02-18 | 1990-08-14 | Fuji Electric Co Ltd | KOSHOTENHYOTEIHOSHIKI |
-
1983
- 1983-01-24 JP JP976783A patent/JPS59135377A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS59135377A (en) | 1984-08-03 |
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