JPH0757066B2 - Distance relay - Google Patents
Distance relayInfo
- Publication number
- JPH0757066B2 JPH0757066B2 JP22580486A JP22580486A JPH0757066B2 JP H0757066 B2 JPH0757066 B2 JP H0757066B2 JP 22580486 A JP22580486 A JP 22580486A JP 22580486 A JP22580486 A JP 22580486A JP H0757066 B2 JPH0757066 B2 JP H0757066B2
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- JP
- Japan
- Prior art keywords
- value
- current
- calculating means
- denominator
- voltage
- 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.)
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Description
【発明の詳細な説明】 〔発明の目的〕 (産業上の利用分野) 本発明は、微分方程式に立脚する距離測定方式を用いた
距離継電器に関するものである。DETAILED DESCRIPTION OF THE INVENTION [Object of the Invention] (Field of Industrial Application) The present invention relates to a distance relay using a distance measurement method based on a differential equation.
(従来の技術) 微分方程式に立脚する距離測定方式として、たとえば特
開昭60−39312号公報がある。この距離測定方式は送電
線の電圧v,電流i,抵抗RおよびインダクタンスLの間に
成立する微分方程式 を用いて抵抗RとインダクタンスLを算出し距離を求め
る方式であり、2つの未知数を得るために、異なる時刻
tmおよびtnで成立する(1)式を解き、次式の如く
L値,R値を求める。(Prior Art) As a distance measuring method based on a differential equation, there is, for example, JP-A-60-39312. This distance measuring method is a differential equation established between voltage v, current i, resistance R and inductance L of the transmission line. Is used to calculate the resistance R and the inductance L to obtain the distance. In order to obtain two unknowns, the equation (1) established at different times t m and t n is solved to obtain the L value, Calculate the R value.
但し、 とおき、 vm,imおよびvn,inは時刻tmおよびtnでの電圧
値,電流値とする。また考慮している時間内でL値,R値
が一定であるとする。 However, .., v m , i m and v n , i n are voltage values and current values at times t m and t n . Further, it is assumed that the L value and the R value are constant within the time taken into consideration.
ここで、電流微分値jmを電流値imから得る近似式の
一例を次式に示す。Here, an example of an approximate expression for obtaining the current differential value j m from the current value i m is shown in the following expression.
但し、N,Kk(k=0〜N)は定数で少なくともk0≠O,k
1≠0とする。(3)式は、少なくとも2つの周波数に
おいて近似誤差は零となり、中間の周波数でも誤差も小
さく、広い周波数範囲にわたり近似できるので、(3)
式を適用するため、(2)式を1サンプリング時間だけ
異なる(1)式の和として次式の様におく。 However, N, K k (k = 0 to N) is a constant and at least k 0 ≠ O, k
Let 1 ≠ 0. In equation (3), the approximation error is zero at least at two frequencies, and the error is small even at intermediate frequencies, and approximation can be performed over a wide frequency range.
In order to apply the equation, the equation (2) is set as the sum of the equations (1) which differ by one sampling time as shown in the following equation.
ここで、 とおくと、(2)式導出と同様に(4)式によりL値,R
値が次式で求められる。 here, In other words, the L value, R
The value is calculated by the following formula.
上述の距離測定方式を用いた距離継電器は、第3図のブ
ロック構成図に示す様に、送電線1から電圧,電流を変
成器2,変流器3を介して導入し、変成器2側の入力変換
回路4は適当な電圧レベルに変換しフィルターを経て電
圧信号vを出力し、変流器3側の入力変換回路5は電流
信号を適当な電圧レベルに変換しフィルタを経て電流信
号iを出力する。A/D変換回路6は、入力変換回路4,5か
らの電圧信号v,電流信号iを一定間隔で同時にサンプリ
ングし、順次ディジタル変換され演算処理部7に出力す
る。演算処理部7は、例えば第4図に示す様な機能ブロ
ック図を持つマイクロコンピュータから成る。微分演算
手段8は、A/D変換器6からの電流信号iのデータより
(3)式の演算を行い微分電気量jm,Jnを演出し、電
流演算手段9および電圧演算手段10は電流信号iおよび
電圧信号vのデータより(5)式の演算を行い電流量I
mm,Inおよび電圧量Vm,Vnを演出する。これら微分電
気量Jm,Jn,電流量Im,Inおよび電圧量Vm,Vnを
用いて、(6)式の分母値um=ImJn−InJm,
分子値lm=ImVn−InVmおよびrm=VmJn
−VnJmを分母値演算手段11,分子値演算手段12およ
び13が演出して、L値演算手段14が分母値um,分子値
lmより除算を行いL値を算出し、R値演算手段15が分
母値um,分子値rmより除算を行いR値を算出する。
この算出されたL値,R値を入力するリレー動作判定部16
が整定された特性と比較して保護範囲内の系統事故であ
れば動作信号を出力するものである。 As shown in the block diagram of FIG. 3, the distance relay using the distance measuring method described above introduces voltage and current from the transmission line 1 through the transformer 2 and the current transformer 3, and the transformer 2 side. The input conversion circuit 4 converts the voltage signal to an appropriate voltage level and outputs the voltage signal v through the filter. The input conversion circuit 5 on the side of the current transformer 3 converts the current signal to an appropriate voltage level and passes the filter to the current signal i. Is output. The A / D conversion circuit 6 simultaneously samples the voltage signal v and the current signal i from the input conversion circuits 4 and 5 at regular intervals, sequentially performs digital conversion, and outputs them to the arithmetic processing unit 7. The arithmetic processing unit 7 comprises, for example, a microcomputer having a functional block diagram as shown in FIG. The differential calculating means 8 calculates the equation (3) from the data of the current signal i from the A / D converter 6 to produce the differential electric quantities j m , J n , and the current calculating means 9 and the voltage calculating means 10 The current amount I is calculated by calculating the equation (5) from the data of the current signal i and the voltage signal v.
mm , I n and voltage amounts V m , V n are produced. These differential electric quantity J m, J n, the amount of current I m, I n and the voltage amount V m, with V n, (6) formula denominator value u m = I m J n -I n J m,
Molecular value l m = I m V n -I n V m and r m = V m J n
-V n J m is produced by the denominator value calculating means 11, the numerator value calculating means 12 and 13, and the L value calculating means 14 divides the denominator value u m and the numerator value l m to calculate the L value, and R The value calculation means 15 divides the denominator value u m and the numerator value r m to calculate the R value.
Relay operation determination unit 16 for inputting the calculated L value and R value
If the system fault is within the protection range compared to the settled characteristic, the operation signal is output.
(発明が解決しようとする問題点) 以上の距離継電器では、系統事故時の過渡状態において
も成立する微分方程式に立脚しているので、理論点には
電流,電圧の周波数に依存しないが、電流微分値算出に
近似式を利用する場合には近似精度に影響される。そこ
で、(3)式を用いれば、広い周波数範囲で精度良くL
値,R値を算出でき、周波数特性の良い距離継電器が実現
できる。(Problems to be solved by the invention) In the above distance relay, since it is based on the differential equation that holds even in the transient state at the time of a system fault, the theoretical point does not depend on the frequency of current or voltage, but When the approximation formula is used to calculate the differential value, the approximation accuracy is affected. Therefore, by using equation (3), L can be accurately measured over a wide frequency range.
Value and R value can be calculated, and a distance relay with good frequency characteristics can be realized.
しかし、最近の系統事故現象では、電圧,電流の波形歪
が増大し、かつ歪成分が低次化する傾向があり、従来の
フィルタではリレー動作速度の遅延等の問題から低次の
歪成分は除去できなかった。However, in recent system fault phenomena, voltage and current waveform distortions tend to increase, and distortion components tend to become low-order. In conventional filters, due to problems such as delays in relay operation speed, low-order distortion components Could not be removed.
ここで、上述の距離継電器において、電流に次式の高周
波成分を含有した波形を考える。Here, in the distance relay described above, consider a waveform in which the current contains a high frequency component of the following equation.
i=I0sinωt+ρI0sin(Mωt+θ) ……(7)) 但し、ρは高周波含有率,Mは高周波次数,θは高調波含
有位相である。簡単のため、電流微分値jは(8)式を
微分した理論値を用いると次式の様になる。i = I 0 sin ωt + ρ I 0 sin (Mωt + θ) (7)) where ρ is the high frequency content rate, M is the high frequency order, and θ is the harmonic content phase. For simplification, the current differential value j is expressed by the following equation when the theoretical value obtained by differentiating the equation (8) is used.
J=ωI0cosωt+MwρI0cos(Mωt+θ)……(8) この時、n=m−1,サンプリング周期をTとおくと、分
母値umは、 となる。(9)式より分母値umは電流iが単一周波入
力、即ちρ=0であれば、 となり、ωT<πならば正の一定値となる。しかしなが
ら高調成分を含有する場合は、高調波含有率ρ,高調波
次数Mによってはum≒0となることがある。この場
合、理論的には分母値um≒0であっても(7)式よL
値,R値が求められるが、実際には入力変換回路4,5の誤
差,A/D変換回路6でディジタル変換による量子化誤差に
よりL値,R値の演算誤差が顕著になる恐れがある。これ
では、演算誤差によりリレー動作判定が誤判定を行い距
離継電器が誤動作する懸念があった。J = ωI 0 cosωt + MwρI 0 cos (Mωt + θ) (8) At this time, if n = m−1 and the sampling period is T, the denominator value u m is Becomes From the equation (9), the denominator value u m is such that if the current i is a single frequency input, that is, ρ = 0, Therefore, if ωT <π, it becomes a positive constant value. However, when a higher harmonic component is contained, u m ≈0 may occur depending on the higher harmonic content ratio ρ and the higher harmonic order M. In this case, even if the denominator value u m ≈0 theoretically,
Values and R values are obtained, but in practice, the error in the input conversion circuits 4, 5 and the quantization error in the A / D conversion circuit 6 due to the digital conversion may make the L and R value calculation errors noticeable. . In this case, there is a concern that the relay operation may be erroneously determined due to a calculation error and the distance relay may be erroneously operated.
したがって、本発明は、フィルタで除去できない低次の
高周成分が含有した入力で分母値um≒0の場合に演算
誤差での測距性能の低下による誤動作を防止する距離継
電器を提供することを目的とする。Therefore, the present invention provides a distance relay that prevents malfunction due to a reduction in distance measurement performance due to a calculation error when an input containing low-order high-frequency components that cannot be removed by a filter has a denominator value u m ≈0. With the goal.
(問題点を解決するための手段) 本発明を第1図,第2図の機能ブロック図を参照して説
明する。(Means for Solving Problems) The present invention will be described with reference to the functional block diagrams of FIGS. 1 and 2.
電力系統の電圧および電流から得た電気信号を等間隔で
サンプリングし異なる時刻tm,tnでの電圧値vm,
vn,電流値im,inから微分電流量Jm,Jn,電流量
Im,Inおよび電圧値Vm,Vnを算出する微分演算手段
8,電流演算手段9および電圧演算手段10と、これら演算
手段8,9,10の算出した微分電流量Jm,Jn,電流量
Im,Inおよび電圧値Vm,Vnからそれぞれ電気量
um,lmおよびrmを算出する分母値演算手段11,分子
値演算手段12および13と、これら分母値um,分子値l
mおよびrmから距離測定を行い動作条件が成立すると
動作信号を出力するリレー動作判定部16から成る距離継
電器において時刻tmにおける分母値演算手段11の分母
値umを入し、比較値Kより小さいときリレー動作判定
部16の判定結果を無効とする出力信号を発生する比較器
18,20を設けた距離継電器である。Electric signals obtained from the voltage and current of the power system are sampled at equal intervals, and voltage values v m , t n at different times t m , t n
v n, the current value i m, i n the differential current amount J m, J n, the amount of current I m, I n and the voltage value V m, differential operation means for calculating a V n
8, current calculating means 9 and voltage calculating means 10, and the differential current amounts J m , J n , current amounts I m , I n and voltage values V m , V n calculated by these calculating means 8, 9, 10 respectively. electric quantity u m, the denominator value calculating means 11 for calculating a l m and r m, the molecular value calculating means 12 and 13, these denominator value u m, molecules value l
Type the denominator value u m of the denominator value calculating means 11 at time t m at a distance relay comprising a relay operation judging unit 16 operating condition perform distance measurement from m and r m to output a and the operation signal is established, the comparison value K A comparator that generates an output signal that invalidates the determination result of the relay operation determination unit 16 when it is less than
It is a distance relay with 18,20.
(作用) 比較器18,20は時刻tmでの分母値演算手段11の算出し
た分母値umを入力し、分母値umが零に近ずいたこと
を比較値Kと比較することより検知し、分母値umが比
較値Kより小さいとき、時刻tmでのリレー動作判定部
16の判定結果を無効にする出力信号をリレー動作判定部
16に出力する。(Operation) The comparators 18 and 20 input the denominator value u m calculated by the denominator value computing means 11 at the time t m , and compare that the denominator value u m is close to zero with the comparison value K. When the denominator value u m is smaller than the comparison value K, the relay operation determination unit at time t m is detected.
The relay operation determination unit outputs the output signal that invalidates the 16 determination results
Output to 16.
(実施例) 本発明の一実施例を第1図および第3図を参照して説明
する。第3図において本実施例の距離継電器の送電線1
より電圧,電流を導入する構成は従来の距離継電器と比
較して同様であるが、演算処理部17は第1図の機能ブロ
ック図に示す様なマイクロコンピュータから成る。第1
図において、第4図と同様の演算手段,判定部には同じ
符号が付けてあり、本実施例の演算処理部17の特徴点
は、分母値演算手段11の算出した時刻tmでの分母値u
mを定数の比較値K1と比較して、分母値ummが比較値K1
より小さい場合に時刻tmでのリレー動作判定部16の判
定結果を無効にする出力信号を発生する比較器18を設け
ることである。ここで無効にするとは、時刻tmでのリ
レー動作判定部16の判定結果を実施せず、前判定結果を
保持することであり、定数の比較値K1は距離継電器のリ
レー感度で決まる誤差範囲に設定される所定値である。(Embodiment) An embodiment of the present invention will be described with reference to FIGS. 1 and 3. In FIG. 3, the transmission line 1 of the distance relay of this embodiment
The configuration for introducing more voltage and current is the same as that of the conventional distance relay, but the arithmetic processing unit 17 comprises a microcomputer as shown in the functional block diagram of FIG. First
In the drawings, like operating means and Figure 4, the determination unit Yes been provided with the same reference numerals, feature points of the arithmetic processing unit 17 of this embodiment, the denominator at time t m, which is calculated in the denominator value calculating means 11 Value u
Comparing m with a constant comparison value K 1 , the denominator value u mm is compared value K 1
It is to provide a comparator 18 for generating an output signal to disable the determination result of the relay operation judging unit 16 at time t m when smaller. Here, to disable it without performing the determination result of the relay operation judging unit 16 at time t m, is to hold the previous determination result, the error comparison value K 1 constants determined by the relay sensitivity of distance relay It is a predetermined value set in the range.
よって、フィルタで除去できない低次の高周波成分が含
有した電流が入力し、分母値um<比較値K1となりL
値,R値の誤差が著増する恐れがある場合に比較機18がリ
レー動作判定部の判定結果を無効にするので、演算誤差
による距離継電器の誤動作を防止することができる。Therefore, a current containing low-order high-frequency components that cannot be removed by the filter is input, and the denominator value u m <comparison value K 1 and L
When there is a possibility that the error between the R value and the R value is significantly increased, the comparator 18 invalidates the determination result of the relay operation determination unit, so that the malfunction of the distance relay due to the calculation error can be prevented.
次に、他の実施例を第2図を参照して説明する。第2図
において第4図と同様の演算手段,判定部には同じ符号
が付けてあり、本実施例の演算処理部19の特徴点は、第
1の実施例の分母値umを定数の比較値K1と比較する比
較器18の代りに、分母値のデータからの比較値K2と比較
する比較器20を設けることであり、比較器20は加算器2
1,係数器22および比較器23から成る。加算器21は分母値
演算手段11の算出する分母値uを所定の加算個数T加算
し、時刻tmでの加算値Umを の様に算出し、係数器22は加算器21の算出した加算値u
mに係数δを乗じ比較値K2=δ・Umを算出する。尚、
係数δは、加算個数Tと許容演算誤差から決定される値
であり、通常1以下の値が取られる。ここで、比較器23
が分母値演算手段11の算出した時刻tmでの分母値um
を係数器22の算出した比較値K2と比較して、分母値um
が比較値K2より小さい場合に時刻tmでのリレー動作判
定部16の判定結果を無効とする出力信号を発生する。Next, another embodiment will be described with reference to FIG. In FIG. 2, the same calculation means and determination unit as those in FIG. 4 are designated by the same reference numerals, and the characteristic point of the arithmetic processing unit 19 of this embodiment is that the denominator value u m of the first embodiment is a constant. Instead of the comparator 18 for comparing with the comparison value K 1 , a comparator 20 for comparing with the comparison value K 2 from the data of the denominator value is provided, and the comparator 20 is the adder 2
1, a coefficient unit 22 and a comparator 23. The adder 21 adds a predetermined number of additions T to the denominator value u calculated by the denominator value calculation means 11, and obtains an addition value U m at time t m. And the coefficient unit 22 calculates the addition value u calculated by the adder 21.
A comparison value K 2 = δ · U m is calculated by multiplying m by a coefficient δ. still,
The coefficient δ is a value determined from the number of additions T and the allowable calculation error, and usually takes a value of 1 or less. Where the comparator 23
Is the denominator value u m at time t m calculated by the denominator value calculation means 11.
Is compared with the comparison value K 2 calculated by the coefficient unit 22, and the denominator value u m
There generating an output signal for invalidating the determination result of the relay operation judging unit 16 at time t m when the comparison value K 2 is smaller than.
よって、第一の実施例の効果に加え、比較値K2を分母値
のデータより算出することにより、相対的に分母値um
が小さくなった場合の余分な判定結果の無効を低減する
ことができる。Therefore, in addition to the effect of the first embodiment, by calculating the comparison value K 2 from the data of the denominator value, the denominator value u m is relatively increased.
It is possible to reduce the invalidity of the extra determination result when becomes smaller.
また、第二の実施例において、比較器23での分母値um
を絶対値とし、加算値Umを次式の様に、分母値umの
絶対値としても同様の効果が得られることは明らかであ
る。Also, in the second embodiment, the denominator value u m in the comparator 23
The absolute value; the added value U m as follows, it is clear that the same effect as the absolute value of the denominator value u m can be obtained.
〔発明の効果〕 以上の様に、本発明は、電圧v,電流i,電流微分量j,イン
ダクタンスLおよび抵抗Rの間で成立する関係式v=Lj
+Riに立脚した距離判定方式を用いた距離継電器におい
て、L値,R値算出途中の時刻tmの分母値umが零に近
ずいたことを比較値と比較して検知し時刻tmのリレー
動作判定結果を無効する出力信号を発生する比較器を設
けるので、高調波成分が含有した入力時に演算誤差での
測距性能の低下による誤動作を防止する距離継電器を提
供することができる。 [Effects of the Invention] As described above, according to the present invention, the relational expression v = Lj established among the voltage v, the current i, the current differential amount j, the inductance L and the resistance R.
In distance relay using the distance determination method which puts + Ri, L value, the denominator value u m senses in comparison with comparison values near not a be had zero time t m at time t m of the middle R value calculated Since the comparator that generates the output signal that invalidates the relay operation determination result is provided, it is possible to provide the distance relay that prevents the malfunction due to the deterioration of the distance measurement performance due to the calculation error at the time of input containing the harmonic component.
第1図、および第2図は本発明の距離継電器の演算処理
部の機能ブロック図、第3図は距離継電器のブロック構
成図、第4図は従来の距離継電器の演算処理部の機能ブ
ロック図である。 1……送電線、2……変成器 3……変流器、4,5……入力変換器 6……A/D変換回路、7,17,19……演算処理部 8……微分演算手段、9……電流演算手段 10……電圧演算手段、11……分母値演算手段 12,13……分子値演算手段、14……L値演算手段 15……R値演算手段、16……リレー動作判定部 18,20,23……比較器、21……加算器 22……係数器1 and 2 are functional block diagrams of the arithmetic processing unit of the distance relay of the present invention, FIG. 3 is a block configuration diagram of the distance relay, and FIG. 4 is a functional block diagram of the arithmetic processing unit of the conventional distance relay. Is. 1 ... Transmission line, 2 ... Transformer, 3 ... Current transformer, 4,5 ... Input converter, 6 ... A / D conversion circuit, 7, 17, 19 ... Arithmetic processing unit, 8 ... Differential computation Means, 9 ... Current computing means, 10 ... Voltage computing means, 11 ... Denominator value computing means 12, 13 ... Numerator value computing means, 14 ... L value computing means, 15 ... R value computing means, 16 ... Relay operation judgment unit 18,20,23 …… Comparator, 21 …… Adder 22 …… Coefficient unit
Claims (3)
号を等間隔でサンプリングし、異なる時刻tm,tnでの
電圧値vm,vn,電流値im,inから微分電流量Jm,J
n,電流量Im,Inおよび電圧量Vm,Vnを演算する微
分演算手段、電流演算手段および電圧演算手段と、これ
ら演算手段の算出した微分電流量Jm,Jn,電流量
Im,Inおよび電圧量Vm,Vnからそれぞれ電気量
um,lmおよびrmを算出する分母値演算手段,第1の
分子値演算手段および第2の分子値演算手段と、これら
分母値um,分子値lmおよびrmから距離測定を行い
動作条件が成立すると動作信号を出力するリレー動作判
定部とから成る距離継電器において、 時刻tmにおける分母値演算手段の分母値umを入力
し、比較値より小さいときの前記リレー動作判定部の判
定結果を無効とする出力信号を発生する比較器を設けた
ことを特徴とする距離継電器。1. A sampled at regular intervals an electrical signal obtained from the voltage and current of the power system, different times t m, the voltage value v m at t n, v n, the current value i m, differential current from i n Quantity J m , J
n , current amounts I m , I n and voltage amounts V m , V n , differential calculating means, current calculating means and voltage calculating means, and differential current amounts J m , J n , current amounts calculated by these calculating means and I m, I n and the voltage amount V m, electric respectively from V n quantity u m, the denominator value calculating means for calculating a l m and r m, the first numerator value calculating means and the second molecule calculating means, these denominator value u m, the distance relay comprising a operating condition perform distance measurement from molecules value l m and r m is established the relay operation judging unit which outputs an operation signal, the denominator value of the denominator value calculating means at the time t m distance relay which enter a u m, characterized in that a comparator for generating an output signal for invalidating the determination result of the relay operation judging portion is smaller than the comparison value.
請求の範囲第1項記載の距離継電器。2. The distance relay according to claim 1, wherein the comparison value of the comparator is a predetermined constant value.
した値とした特許請求の範囲第1項記載の距離継電器。3. The distance relay according to claim 1, wherein the comparison value of the comparator is a value calculated from denominator value data.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP22580486A JPH0757066B2 (en) | 1986-09-26 | 1986-09-26 | Distance relay |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP22580486A JPH0757066B2 (en) | 1986-09-26 | 1986-09-26 | Distance relay |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS6387123A JPS6387123A (en) | 1988-04-18 |
| JPH0757066B2 true JPH0757066B2 (en) | 1995-06-14 |
Family
ID=16835046
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP22580486A Expired - Fee Related JPH0757066B2 (en) | 1986-09-26 | 1986-09-26 | Distance relay |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0757066B2 (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2611416B2 (en) * | 1989-02-10 | 1997-05-21 | 富士電機株式会社 | Distance relay |
-
1986
- 1986-09-26 JP JP22580486A patent/JPH0757066B2/en not_active Expired - Fee Related
Also Published As
| Publication number | Publication date |
|---|---|
| JPS6387123A (en) | 1988-04-18 |
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