JPH031890B2 - - Google Patents

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Publication number
JPH031890B2
JPH031890B2 JP3771584A JP3771584A JPH031890B2 JP H031890 B2 JPH031890 B2 JP H031890B2 JP 3771584 A JP3771584 A JP 3771584A JP 3771584 A JP3771584 A JP 3771584A JP H031890 B2 JPH031890 B2 JP H031890B2
Authority
JP
Japan
Prior art keywords
power
string
calculation unit
quadrant
reactive power
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
JP3771584A
Other languages
Japanese (ja)
Other versions
JPS60180426A (en
Inventor
Yukitoshi Sakai
Koji Maeda
Akira Ono
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Mitsubishi Electric Corp
Original Assignee
Mitsubishi Electric Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Mitsubishi Electric Corp filed Critical Mitsubishi Electric Corp
Priority to JP3771584A priority Critical patent/JPS60180426A/en
Publication of JPS60180426A publication Critical patent/JPS60180426A/en
Publication of JPH031890B2 publication Critical patent/JPH031890B2/ja
Granted legal-status Critical Current

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  • Emergency Protection Circuit Devices (AREA)

Description

【発明の詳細な説明】 〔発明の技術分野〕 この発明は電力系統を保護する保護継電方式に
関するものである。
DETAILED DESCRIPTION OF THE INVENTION [Technical Field of the Invention] The present invention relates to a protective relay system for protecting an electric power system.

〔従来技術〕[Prior art]

電力系統に系統事故が発生し、事故解除後系統
に動揺が生じた時、系統の動揺が安定動揺か、又
は脱調に到るかを検出する脱調保護継電方式につ
いて以下説明する。第1図は電力系統を模擬した
模擬系統図で、1aはa端、1bはb端の電源を
示す。2は電源1a,1b間の送電線、3aは電
源1aの母線、4aは保護継電器6a(以下リレ
ーと呼ぶ)へ電流を導入する変成器、5aは母線
3aからリレー6aへ電圧を導入する変成器を示
す。電源1a,1bの電圧V〓a・V〓b(=V〓ae-j〓)
間の相差角θに対してa端の電気量Va,Iaより
求まる電力W〓=Pa+jQa=Va・I〓a(I〓aはIaの共役
複素数)の有効電力Pa、無効電力Qaは第2図に
示すように、有効電力Paは90゜において極大値と
なり、無効電力Qaはθが180゜において極大値と
なり、第2図のA点(θ=90゜)において等しく
なる。
A step-out protection relay system that detects whether the system fluctuation is stable fluctuation or a step-out when a system fault occurs in the power system and the system is shaken after the fault is cleared will be described below. FIG. 1 is a simulated power system diagram simulating a power system, where 1a shows the power supply at the a-end and 1b shows the power supply at the b-end. 2 is a power transmission line between power sources 1a and 1b, 3a is a bus of power source 1a, 4a is a transformer that introduces current to a protective relay 6a (hereinafter referred to as a relay), and 5a is a transformer that introduces voltage from bus 3a to relay 6a. Show the container. Voltage of power supplies 1a and 1b V〓a・V〓b (=V〓ae -j 〓)
The power W=Pa+jQa=Va・I=a (I=a is the conjugate complex number of Ia) is the active power Pa and reactive power Qa of the second As shown in the figure, the active power Pa reaches its maximum value at 90°, the reactive power Qa reaches its maximum value when θ is 180°, and they become equal at point A (θ=90°) in FIG.

有効電力Pa及び無効電力Qaは次の様にして求
められる。送電線のインピーダンスをZ=Zej
≒jZ(≒90゜)とすれば、電流I〓a=(V〓a−V〓b)

Z=V〓a(1−e-j〓)/Z〓より W〓=V〓a・I〓a=(Va2/Z){sinθ +j(1−cosθ)}=Pa+jQa となる。
Active power Pa and reactive power Qa are obtained as follows. The impedance of the power transmission line is Z=Ze j
If ≒jZ (≒90°), current I〓a=(V〓a−V〓b)
/
From Z=V〓a(1-e -j〓 )/Z〓, W〓=V〓a・I〓a=(Va 2 /Z) {sinθ +j(1−cosθ)}=Pa+jQa.

第3図は横軸を有効電力Pa.縦軸を無効電力Qa
とした時のPQ軌跡を示し、有効電力Pa、無効電
力Qaの軌跡はPa2+(Qa−Va2/Z)2=(Va2/Z)2
円 形軌跡であり、図中のA点がθ=90゜を示す。
In Figure 3, the horizontal axis is active power Pa, and the vertical axis is reactive power Qa.
The PQ trajectory when _ indicates θ=90°.

一般に電力系統では、その同期化力の大小も関
係するが、相差角θが90゜以上開くと脱調したと
判断してよい。但し、この時の無効電力Qaは増
加、即ちd|Qa|/dt>0である。
In general, in power systems, the magnitude of the synchronization force is also relevant, but if the phase difference angle θ is 90° or more, it can be determined that synchronization has occurred. However, the reactive power Qa at this time increases, that is, d|Qa|/dt>0.

このように電力系統の脱調を判定するために
は、電源端の電圧・電流より有効電力P、無効電
力Qを求め、そのPQ軌跡がθ=90゜の点を越えた
かどうか判定すれば良いことになる。
In this way, in order to determine if the power system is out of synch, it is necessary to obtain the active power P and reactive power Q from the voltage and current at the power supply end, and then determine whether the PQ trajectory exceeds the point where θ = 90°. It turns out.

さて、PQ軌跡が90゜を越えたかどうかを判定す
る一実施例を説明する。系統の電圧電流をデジタ
ルサンプリングして得られる瞬時値V(t),i
(t)よりV〓=v(t)+jv(t−π/2)=Vd+jVq
I〓 =i(t)+ji(t−π/2)=Id+jIqしたがつてP
= VdId+VqIq Q=VqId−VdIqとして求めること
が出来る(tとt−π/2はサンプリング時刻がπ/2 異なることを示す)。
Now, an example of determining whether the PQ trajectory exceeds 90 degrees will be described. Instantaneous value V(t),i obtained by digital sampling of voltage and current of the grid
From (t), V=v(t)+jv(t-π/2)=Vd+jVq
I〓 =i(t)+ji(t-π/2)=Id+jIq Therefore P
= VdId+VqIq It can be obtained as Q=VqId-VdIq (t and t-π/2 indicate that the sampling times are different by π/2).

第4図は軌跡100において、x0…xo-1,xo
時刻t0…to-1・toにおける有効電力P、無効電力
Q値のPQ座標軸の座標点を示し、yo,yo-1
各々座標xo,xo-1と座標xo-n,xo-n-1とを結ぶ直
線、即ち弦を示す。図例では弦yo−1の方向は第
1象限方向、弦yoは第2象限方向を示し、第1象
限から第2象限へ方向変化(象限変化を〔1→
2〕と以下略称する)があることで、A点(相差
角90゜)を越えたものと判定することが出来る。
また軌跡101は弦の象限変化が第2象限から第
1象限へ即ち象限変化〔2→1〕へ、軌跡102
は象限変化〔4→3〕へ、軌跡103は象限変化
〔3→4〕へそれぞれ方向変化した時A点を越え
たものと判定することができる。
FIG . 4 shows the trajectory 100 , where x 0 ... , y o-1 represent straight lines, ie, chords, connecting the coordinates x o , x o-1 and the coordinates x on , x on-1, respectively. In the example shown, the direction of chord y o -1 is the direction of the first quadrant, and the chord y o is the direction of the second quadrant, and the direction changes from the first quadrant to the second quadrant (quadrant change is [1→
2] (hereinafter abbreviated), it can be determined that the point A (phase difference angle 90°) has been exceeded.
In addition, the trajectory 101 shows that the quadrant change of the string is from the second quadrant to the first quadrant, that is, the quadrant change [2→1], and the trajectory 102
It can be determined that point A has been exceeded when the trajectory 103 changes direction to quadrant change [4→3] and the trajectory 103 changes direction to quadrant change [3→4].

一般に電力系統は多機系で構成されいるため、
保護すべき系統(以下本系統と呼ぶ)に連系され
ている各系統の動揺が影響し合い、リレーの見る
PQ軌跡は複雑な動きをする。
Generally, power systems are composed of multiple systems, so
The fluctuations of each system connected to the system to be protected (hereinafter referred to as the main system) influence each other, and the
The PQ trajectory has complex movements.

第5図は本系統に連系される小容量系統の局部
脱調時のPQ軌跡例(実線)を示す。図中、波線
は本系統脱調軌跡を示す。今第5図の弦yo+1とyo
の軌跡方向を見ると象限方向〔1→2〕の方向変
化を脱調と判定するが、波線軌跡上のA点が本系
統脱調点であるので、局部脱調であることを次の
ようにして検出する。弦と弧の曲率関係を説明す
る第6図において半径Rの軌跡110上の弧Zに
対する弦yrの大きさの比(曲率)と半径rの軌跡
111上の弧Zに対する弦yrの間にyR/Z>yr
Z(R>r)の関係がある。従つて曲率=弦/弧
の大きさの大小関係で局部脱調か本系統脱調か判
定することが出来る。一方安定動揺を説明する第
7図に示す事故点Fからの安定動揺時の軌跡にお
いても同様に象限方向〔1→2〕の方向変化があ
り脱調と判定する。この場合も曲率によつて本系
統脱調でないことを判断できるが、本来は安定動
揺である。このように安定動揺の折返し点付近あ
るいは局部脱調においては必ず曲率が小さくなる
ような弦が作成される。
Figure 5 shows an example of a PQ trajectory (solid line) during local step-out in a small capacity system connected to this system. In the figure, the wavy line indicates the out-of-step locus of this system. Now the strings y o+1 and y o in Figure 5
Looking at the trajectory direction of and detect it. In Figure 6, which explains the curvature relationship between strings and arcs, the ratio (curvature) of the chord y r to the arc Z on the locus 110 of radius R and the chord y r to the arc Z on the locus 111 of radius r . niy R /Z>y r /
There is a relationship Z(R>r). Therefore, it is possible to determine whether it is local out-of-step or main out-of-step based on the magnitude relationship of curvature=chord/arc size. On the other hand, in the trajectory during stable oscillation from the accident point F shown in FIG. 7, which explains stable oscillation, there is a similar direction change in the quadrant direction [1→2], and it is determined that there is a step-out. In this case as well, it can be determined from the curvature that this system is not out of step, but it is originally a stable oscillation. In this way, a string is always created with a small curvature near the turning point of stable oscillation or when there is a local loss of synchronization.

〔発明の概要〕[Summary of the invention]

この発明は本系統の脱調時以外の安定動揺ある
いは局部脱調時において共に曲率が小さくなる点
に着目して、弦の方向の処理についてなされたも
ので、本系統脱調以外の脱調を検出しない保護継
電方式を提供することを目的としている。
This invention focuses on the fact that the curvature decreases both during stable oscillations and local out-of-steps other than when the system loses synchronization, and has been made to process the direction of the string. The purpose is to provide a protection relay method that does not detect detection.

〔発明の実施例〕[Embodiments of the invention]

以下この発明の一実施例を図について説明す
る。この発明の構成を示す第8図において、7a
は入力電気量より有効電力Pa、無効電力Qaを演
算する第1演算部、8aは各時刻の有効電力Pa
と無効電力Qaより弦を作成する第2演算部、9
aは弦の方向変化を判定する判定部である。
An embodiment of the present invention will be described below with reference to the drawings. In FIG. 8 showing the configuration of this invention, 7a
8a is the first calculation unit that calculates active power Pa and reactive power Qa from the input electricity amount, and 8a is the active power Pa at each time.
and a second calculation unit that creates a string from the reactive power Qa, 9
a is a determination unit that determines a change in the direction of the string.

次に動作について説明する。7aはデイジタル
サンプリングして得られる入力電気量V(t),i
(t)の瞬時値Vd,Vq,Id,Iqより有効電力Pa
=VdId+VqIq、無効電力Qa=VdIq−VdIqを求
めて出力する。8aは各サンプリング時刻の有効
電力Pと無効電力Q軸上の座標点xo(Po,Qo),
xo+1…から弦yo=xo−xo-nを検出する。ここでxo
はn時刻の有効電力Pnと無効電力Qnによつて得
られる座標点を示す。また、Zo=xo−xo-1,Zo-1
=xo-1−xo-2…から座標点の移動距離である弧Z
=Zo+Zo-1+…+Zo-n+1を求め自率値fo=yo/Z
〓F(Fは定数)を判定する。そしてfo≧Fの条
件のときにはyoの方向を第1〜4象限の方向とし
て判定部9aへ出力し、fo<Fの条件のときには
yoの方向を判定部9aへ出力しない処理を行う。
Next, the operation will be explained. 7a is the input electrical quantity V(t),i obtained by digital sampling.
From the instantaneous values Vd, Vq, Id, and Iq of (t), the active power Pa
= VdId + VqIq, reactive power Qa = VdIq - VdIq is determined and output. 8a is the coordinate point x o (P o , Q o ) on the active power P and reactive power Q axes at each sampling time,
Detect the string y o =x o −x on from x o+1 …. x o here
indicates a coordinate point obtained by active power Pn and reactive power Qn at time n. Also, Z o = x o −x o-1 , Z o-1
= x o-1 −x o-2 Arc Z, which is the moving distance of the coordinate point from...
=Z o +Z o-1 +...+Z o-n+1 and self-rate value f o =y o /Z
Determine 〓F (F is a constant). Then, when the condition of f o ≧F is satisfied, the direction of y o is outputted to the determination unit 9a as the direction of the first to fourth quadrants, and when the condition of f o <F is satisfied, the direction of y o is outputted to the determination unit 9a.
A process is performed in which the direction of y o is not output to the determination unit 9a.

判定部9aは第2演算部8aより出力される弦
の方向変化を見て象限方向〔1→2〕、〔2→1〕、
〔3→4〕、〔4→3〕のパターンの時脱調出力1
0aを出力する。fo<Fの条件の時には弦の方向
が第2演算部8aより出力されないので、この時
は弦の方向はyo-1の時の方向をyoの方向として取
扱う。即ちfo<Fの時はそれ以前の弦の方向と同
方向として処理する。第5図の例ではyoからyo+l
まで各々の曲率値がfo<F…fo+l<Fとした時、
弦yo-lの方向と弦yo+l+1の方向を第1象限方向と
した時はyo-1からyo+l+1までの方向はすべて第1
象限方向として処理する。従つてこの間において
は弦の方向変化がないので脱調は検出しない。ま
た第7図の例ではyoからyo+lまで各々の曲率値fo
<F……fo+l<Fとした時、弦yo-1の方向が第1
象限方向、弦yo+l+1の方向が第3象限方向とすれ
ば弦yo-1からyo+lまでの弦の方向はすべて第1象
限として処理する。弦yo+lと弦yo+l+1との間で象
限方向〔1→3〕の方向変化が生じるが、脱調時
の方向変化パターンとは異なるので脱調は検出し
ない。
The determination unit 9a looks at the change in direction of the string output from the second calculation unit 8a and determines the quadrant direction [1→2], [2→1],
Step-out output 1 when pattern is [3→4], [4→3]
Outputs 0a. Since the string direction is not output from the second calculation unit 8a under the condition of f o <F, in this case, the direction when the string direction is y o -1 is treated as the direction of y o . That is, when f o <F, it is treated as the same direction as the previous string direction. In the example in Figure 5, y o to y o+l
When each curvature value is f o <F...f o+l <F,
When the direction of the string y ol and the direction of the string y o+l+1 are taken as the first quadrant directions, all directions from y o-1 to y o+l+1 are the first quadrant directions.
Treated as a quadrant direction. Therefore, since there is no change in the direction of the string during this period, no out-of-step is detected. In addition, in the example of Fig. 7, each curvature value f o from y o to y o + l
<F...f o+l When <F, the direction of the string y o-1 is the first
If the quadrant direction and the direction of the chord y o+l+1 are the third quadrant direction, all the string directions from the chord y o-1 to y o+l are treated as the first quadrant. A direction change in the quadrant direction [1→3] occurs between string y o+l and string y o+l+1 , but the step out is not detected because it is different from the direction change pattern at the time of step out.

〔発明の効果〕〔Effect of the invention〕

以上のように、この発明によれば安定動揺又は
局部脱調時のPQ座標点間の弦とその座標間の移
動距離である弧との曲率値を算出し、該曲率値が
定数Kより小さい時は、弦の方向をそれ以前の弦
の方向と同一方向として処理し、脱調検出を行う
ような構成にしたので、高精度で信頼度の高い保
護継電方式が得られる効果がある。
As described above, according to the present invention, the curvature value between the chord between the PQ coordinate points and the arc that is the moving distance between the coordinates during stable oscillation or local step-out is calculated, and the curvature value is smaller than the constant K. In this case, the direction of the string is treated as being the same as the direction of the previous string, and step-out detection is performed.This has the effect of providing a highly accurate and reliable protective relay system.

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

第1図は電力系統の模擬系統図、第2図はa端
b端の相差角に対する有効電力、無効電力図、第
3図は有効電力Pと無効電力Qの軌跡図、第4図
は脱調検出の説明図、第5図は局部脱調時の有効
電力Pと無効電力Qの軌跡図、第6図は曲率の説
明図、第7図は安定動揺図、第8図はこの発明の
一実施例による保護継電方式を示す構成図であ
る。 1……電源、2……送電線、3……母線、4,
5……変成器、6……リレー、7……第1演算
部、8……第2演算部、9……判定部、10……
出力。
Fig. 1 is a simulated power system diagram, Fig. 2 is a diagram of active power and reactive power with respect to the phase difference angle between ends A and B, Fig. 3 is a trajectory diagram of active power P and reactive power Q, and Fig. 4 is a diagram of the An explanatory diagram of key detection, Fig. 5 is a locus diagram of active power P and reactive power Q at the time of local step-out, Fig. 6 is an explanatory diagram of curvature, Fig. 7 is a stable fluctuation diagram, and Fig. 8 is a diagram of the present invention. FIG. 2 is a configuration diagram showing a protective relay system according to an embodiment. 1...Power supply, 2...Power line, 3...Bus bar, 4,
5... Transformer, 6... Relay, 7... First calculation section, 8... Second calculation section, 9... Judgment section, 10...
output.

Claims (1)

【特許請求の範囲】[Claims] 1 電力系統の電圧信号と電流信号をデイジタル
サンプリングした瞬時値から、該各サンプリング
時刻における有効電力と無効電力を演算する第1
演算部と、前記第1演算部の処理した有効電力と
無効電力を入力し、座標点間を結ぶ弦および該座
標点間の移動距離である弧を演算し、該弦と該弧
より曲率値を検出する第2演算部と、前記第2演
算部の有効電力と無効電力の座標点間を結ぶ弦の
象限方向変化を検出して所定の象限方向の時に脱
調出力を送出する判定部とを備え、上記曲率値と
設定値を比較して設定値以下の曲率値のときは該
弦方向をそれ以前の弦方向と同一方向として処理
することを特徴とする保護継電方式。
1. A first step that calculates active power and reactive power at each sampling time from the instantaneous values obtained by digitally sampling the voltage signal and current signal of the power system.
A calculation unit inputs the active power and reactive power processed by the first calculation unit, calculates a chord connecting the coordinate points and an arc that is the moving distance between the coordinate points, and calculates a curvature value from the chord and the arc. a second calculation unit that detects the coordinate points of the active power and the reactive power of the second calculation unit, and a determination unit that detects a change in the quadrant direction of the string connecting the coordinate points of the active power and the reactive power of the second calculation unit and sends out an out-of-step output when the string is in a predetermined quadrant direction. A protective relay system comprising: comparing the curvature value with a set value and treating the string direction as the same direction as the previous string direction if the curvature value is less than the set value.
JP3771584A 1984-02-28 1984-02-28 Protection relay system Granted JPS60180426A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP3771584A JPS60180426A (en) 1984-02-28 1984-02-28 Protection relay system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP3771584A JPS60180426A (en) 1984-02-28 1984-02-28 Protection relay system

Publications (2)

Publication Number Publication Date
JPS60180426A JPS60180426A (en) 1985-09-14
JPH031890B2 true JPH031890B2 (en) 1991-01-11

Family

ID=12505210

Family Applications (1)

Application Number Title Priority Date Filing Date
JP3771584A Granted JPS60180426A (en) 1984-02-28 1984-02-28 Protection relay system

Country Status (1)

Country Link
JP (1) JPS60180426A (en)

Also Published As

Publication number Publication date
JPS60180426A (en) 1985-09-14

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