JPH0424934B2 - - Google Patents

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Publication number
JPH0424934B2
JPH0424934B2 JP59038055A JP3805584A JPH0424934B2 JP H0424934 B2 JPH0424934 B2 JP H0424934B2 JP 59038055 A JP59038055 A JP 59038055A JP 3805584 A JP3805584 A JP 3805584A JP H0424934 B2 JPH0424934 B2 JP H0424934B2
Authority
JP
Japan
Prior art keywords
power
string
time
unit
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 - Lifetime
Application number
JP59038055A
Other languages
Japanese (ja)
Other versions
JPS60183928A (en
Inventor
Tsutomu Sugyama
Kunio Suzuki
Akyoshi Pponma
Toshiharu Naruchi
Yasuhiro Kamikubo
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.)
Chubu Electric Power Co Inc
Mitsubishi Electric Corp
Original Assignee
Chubu Electric Power Co Inc
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 Chubu Electric Power Co Inc, Mitsubishi Electric Corp filed Critical Chubu Electric Power Co Inc
Priority to JP3805584A priority Critical patent/JPS60183928A/en
Publication of JPS60183928A publication Critical patent/JPS60183928A/en
Publication of JPH0424934B2 publication Critical patent/JPH0424934B2/ja
Granted legal-status Critical Current

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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
は脱調にいた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端電源、1bはb端電
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(以下リレ
ーと略称)6a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。
A description will be given below of a step-out protection relay system that detects whether the system fluctuation is a stable fluctuation or a step-out when a system fault occurs in the power system and the system oscillates after the fault is cleared. FIG. 1 is a simulated power system diagram simulating a power system, where 1a shows the a-end power supply and 1b shows the b-end power supply. 2 is the power transmission line between power sources 1a and 1b, 3a
4a is a transformer that introduces current to a protective relay (hereinafter referred to as a relay) 6a, and 5a is a transformer that introduces voltage from the bus 3a to the relay 6a.

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端電源の電気量電圧V〓a、
電流I〓aより求まる電力W〓=Pa+jQa=V〓a・I〓a(I

はI〓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θが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、図中のA点(θ=90゜)にお
いて等しくなる。
For the phase difference angle θ between the voltages V〓a, V〓b (=V〓ae -j 〓) of the power supplies 1a and 1b, the electric quantity voltage V〓a of the a-end power supply,
Power W〓=Pa+jQa=V〓a・I〓a(I

is the conjugate complex number of I〓) The active power Pa and reactive power Qa are as shown in Fig. 2. The active power Pa has a maximum value when θ is 90°, and the reactive power Qa has a maximum value when θ is 180°. They become equal at point A (θ=90°) in the figure.

有効電力Pa、及び無効電力Qaは次式の様にし
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〓より次の式が得

れる。
The active power Pa and the reactive power Qa are obtained using the following formulas. The impedance of the power transmission line is Z =
If Ze j ≒jZ (≒90°), current I〓a==(V〓a

The following formula is obtained from V〓b)/Z〓=V〓a(1-e -j )/Z〓.

W〓=V〓a・I〓a=(V2a/Z){sinθ +j(1−cosθ)}=Pa+jQa また横軸を有効電力Pa、縦軸を無効電力Qaと
した時のPQ軌跡は第3図に示すようになる。第
3図に示す有効電力Pa、無効電力Qaの軌跡は
Pa2+(Qa−Va2/Z)2=(Va2/Z)2の円形軌跡であ
り、 図中のA点がθ=90゜を示す。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Q2は増加、即ちd|Qa|/dt>0 である。
W〓=V〓a・I〓a=(V 2 a/Z) {sinθ +j(1-cosθ)}=Pa+jQa Also, when the horizontal axis is the active power Pa and the vertical axis is the reactive power Qa, the PQ trajectory is The result is as shown in FIG. The locus of active power Pa and reactive power Qa shown in Figure 3 is
It is a circular locus of Pa 2 + (Qa-Va 2 /Z) 2 = (Va 2 /Z) 2 , and point A in the figure indicates θ = 90°. In general, in power systems, the magnitude of the synchronization force is also relevant, but the phase difference angle θ
If it opens more than 90 degrees, it can be determined that the motor has lost synchronization. however,
At this time, the reactive power Q 2 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を検出し、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 detect the active power P and reactive power Q from the voltage and current at the power supply end, and determine whether the PQ trajectory exceeds the point where θ = 90°. It turns out.

PQ軌跡上でa端電源、b端電源の相差角θが
90゜を越えたかどうか判定する一実施例について
説明する。第1図に示す系統の電圧電流をデイジ
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 となる。ここに時刻(t−π/2)とは時刻(t) より電気角でπ/2遅れた時刻を表わす。したがつ
てP=VdId+VqIq、Q=VqId−VdIpと求めら
れる。
On the PQ trajectory, the phase difference angle θ between the a-terminal power source and the b-terminal power source is
An example of determining whether the angle exceeds 90 degrees will be described. Instantaneous value V(t), i obtained by digital sampling of the voltage and current of the system shown in Figure 1
From (t), V=v(t)+jv(t-π/2)=Vd+jVq I==i(t)+ji(t-π/2)=Id+jIq. Here, time (t-π/2) represents a time delayed by π/2 in electrical angle from time (t). Therefore, P=VdId+VqIq and Q=VqId-VdIp are obtained.

PQ座標軸上の時刻nにおける座標をxo(Pn、
Qn)で表わすと、第4図に示すような脱調軌跡
は各時刻における座標xoを結ぶことによつて得ら
れる。図において座標xo、xo-n間を結ぶ弦yn=
xo−xo-nの方向をPQ座標の象限として表わすこ
とにする。即ち限yo-1、yo-2は第1象限方向、弦
yoは第2象限方向を向いている。弦の方向が第1
象限から第2象限へ(ここで象限変化を〔1→
2〕と略称する)変化したことでA点、即ち脱調
と判断して良い。相差角が90゜を越えたものと判
定することが出来る。尚、脱調の軌跡は第4図ロ
で示すように第1ケースより第4ケースが考えら
れるので、これら各ケースの象限変化〔1→2〕、
〔2→1〕、〔3→4〕、〔4→3〕への弦の象限変
化を同様に脱調と判断する。
The coordinate at time n on the PQ coordinate axis is x o (Pn,
Qn), the out-of-step locus as shown in FIG. 4 can be obtained by connecting the coordinates x o at each time. In the figure, the string yn that connects the coordinates x o and x on =
Let us express the direction x o − x on as a quadrant of PQ coordinates. That is, the limits y o-1 and y o-2 are in the first quadrant direction, and the chord
y o is facing towards the second quadrant. The direction of the string is the first
From the quadrant to the second quadrant (here, the quadrant change is [1 →
2)), it can be determined that this is the point A, that is, a loss of synchronization. It can be determined that the phase difference angle exceeds 90°. As shown in Figure 4 (b), the locus of step-out is more likely to be in the 4th case than in the 1st case, so the quadrant change in each of these cases [1→2],
Quadrant changes of the string to [2→1], [3→4], and [4→3] are similarly determined to be out of tune.

第5図イは系統の事故後の安定動揺の場合、第
5図ロは脱調の場合の例を示す。上述のように脱
調を検出するためには弦を作成し、その弦の方向
変化を判断する必要がある。従つて動揺がなけれ
ば、有効電力P、無効電力Qの座標点は移動しな
いため弦が作成できず、動揺が発生して初めて弦
を作成することができる。また、弦の大きさは脱
調軌跡の大きさによつて決定されるべきものであ
るが、その弦の大きさに到達しなければ、また弦
を作成出来ない。
Figure 5A shows an example of a stable oscillation after a system accident, and Figure 5B shows an example of a step-out. As mentioned above, in order to detect step-out, it is necessary to create a string and determine the change in direction of the string. Therefore, if there is no oscillation, the coordinate points of active power P and reactive power Q do not move, so a string cannot be created, and a string can only be created after oscillation occurs. Further, the size of the string should be determined by the size of the out-of-step locus, but if the string size is not reached, another string cannot be created.

一方電力系統は時間経過に伴つて潮流の大き
さ、方向等が変化するため、徐々に有効電力P、
無効電力Q座標点を移動する。このように脱調周
期に比して徐々に移動したPQ軌跡が弦の大きさ
に到達したからといつて弦の方向を決定すると、
それ以前の弦の方向との方向変化によつて脱調と
判断することも起り得る。
On the other hand, in a power system, the size and direction of power flow change over time, so the active power P gradually increases.
Move the reactive power Q coordinate point. If we determine the direction of the string by assuming that the PQ locus, which has gradually moved compared to the step-out period, has reached the size of the string, then
It may also be determined that the string is out of synch due to a change in direction from the previous direction of the string.

〔発明の概要〕[Summary of the invention]

この発明は上記のような弦の作成によつて誤つ
て脱調と判断を行なわないために、系統の動揺軌
跡が比較的短時間内に移動していることを条件と
して弦の作成を行なうようにして、誤つた脱調判
定を行なわない保護継電方式を提供することを目
的としている。
In order to avoid erroneously determining that the string is out of synchronization due to the above-mentioned string creation, the present invention creates the string on the condition that the oscillation locus of the system moves within a relatively short period of time. The object of the present invention is to provide a protective relay system that does not make erroneous step-out determinations.

〔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。第6図において、7は入力電気量から有効電
力、無効電力を演算してPQ座標点を出力する第
1演算部、8は前記PQ座標点から弦を作成する
第2演算部、9は弦の方向変化を判定し脱調出力
11を出力する論理部、10はPQ軌跡の時間に
対する移動の割合によつて論理部9の方向判定を
ロツクする判定部である。
An embodiment of the present invention will be described below with reference to the drawings. In FIG. 6, 7 is a first calculation unit that calculates active power and reactive power from the input electrical quantity and outputs a PQ coordinate point, 8 is a second calculation unit that creates a string from the PQ coordinate point, and 9 is a string 10 is a determining unit that locks the direction determination of the logical unit 9 based on the rate of movement of the PQ locus with respect to time.

次に動作について説明する。第1演算部7は変
成器4,5より入力される電気量V,Iより時刻
nにおける有効電力と無効電力のPQ座標点xo
求め出力して演算する。第2演算部8は座標点
xo、xo-1…から弦yo=xo−xo-nを演算し、その弦
の象限方向を出力して演算する。論理部9は弦yo
の方向と弦yo-1の方向の象限の変化が次のいづれ
かの場合、脱調出力11を出力する。即ち、前述
の象限変化方向〔1→2〕、〔2→1〕、〔3→4〕、
〔4→3〕の場合である。但し無効電力の増大条
件|Qo−Qo-1|>0が必要である。判定部10
はPQ座標点xo、xo-1…から第7図に示すように
Zn=|xo−xo-1|、Zn-1=|xo-1−xo-1…を演算
し、Z=Zn+…+Zo-lを求める。即ち時刻n−l
−1から時刻nまでの間のPQ軌跡の移動距離が
Zになる。この移動距離ZがZ≧K(Kは定数)
の時のみ演算部8に対しては弦の作成を検出し弦
が作成出来れば弦の方向を論理部9へ出力する。
またZ<Kの時は弦の作成をロツクする。一方論
理部9に対してはZ<Kの時にはそれまでに作成
された弦の方向をリセツトする。即ち、第2演算
部8、論理部9に対しては初期状態と同様の状態
に設定する。
Next, the operation will be explained. The first calculation unit 7 calculates and outputs the PQ coordinate point x o of active power and reactive power at time n from the electrical quantities V and I input from the transformers 4 and 5. The second calculation unit 8 is a coordinate point
The string y o =x o −x on is calculated from x o , x o -1 . . . , and the quadrant direction of the string is output and calculated. Logic part 9 is string y o
If the change in the quadrant between the direction of That is, the aforementioned quadrant change directions [1→2], [2→1], [3→4],
This is the case of [4→3]. However, the condition for increasing reactive power |Q o −Q o-1 |>0 is required. Judgment section 10
is from the PQ coordinate points x o , x o-1 ... as shown in Figure 7.
Calculate Zn=|x o −x o-1 |, Zn −1 = |x o-1 −x o-1 ..., and find Z=Zn+...+Z ol . That is, time n-l
The moving distance of the PQ trajectory from −1 to time n is Z. This moving distance Z is Z≧K (K is a constant)
Only in this case, the calculation unit 8 detects the creation of a string, and if the string can be created, outputs the direction of the string to the logic unit 9.
Also, when Z<K, string creation is locked. On the other hand, for the logic section 9, when Z<K, the direction of the string created up to that point is reset. That is, the second calculation section 8 and logic section 9 are set to the same state as the initial state.

なお、上記実施例ではPQ軌跡の移動距離Zが
Z<Kの時に弦の作成をロツクするが、これに限
定することなく、架空の象限方向例えばO象限方
向として扱つても同様の効果がある。
Note that in the above embodiment, string creation is locked when the moving distance Z of the PQ locus is Z<K, but the same effect is obtained even if it is treated as an imaginary quadrant direction, for example, an O quadrant direction, without being limited to this. .

〔発明の効果〕〔Effect of the invention〕

以上のように、この発明によれば一定時間内の
有効電力P、無効電力Qの移動距離を常に監視
し、所定値を越えなければ弦の作成を行なわない
ような構成にしたので、脱調判定を正確に極めて
精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 moving distance of the active power P and the reactive power Q within a certain period of time is constantly monitored, and the string is not created unless the distance exceeds a predetermined value. This has the effect of providing an extremely accurate protective relay system that makes accurate judgments.

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

第1図は電力系統の模擬系統図、第2図はa
端、b端の電源相差角に対する有効電力、無効電
力の特性図、第3図はPQ軌跡図、第4図は脱調
の判定の説明図、第5図は系統の動揺軌跡図、第
6図は本発明によるリレーの構成図、第7図は
PQ軌跡の移動距離の説明図である。 1……電源、2……送電線、4,5……変成
器、6……リレー、7……第1演算部、8……第
2演算部、9……論理部、10……判定部、11
……出力、添字a,bはa端、b端を示す。図中
同一符号は同一又は相当部分を示す。
Figure 1 is a simulated power system diagram, Figure 2 is a
Characteristic diagram of active power and reactive power with respect to power supply phase difference angle at end and b end, Fig. 3 is a PQ trajectory diagram, Fig. 4 is an explanatory diagram of step-out determination, Fig. 5 is a system fluctuation trajectory diagram, Fig. 6 The figure is a configuration diagram of a relay according to the present invention, and FIG.
FIG. 3 is an explanatory diagram of the moving distance of a PQ trajectory. 1... Power source, 2... Power line, 4, 5... Transformer, 6... Relay, 7... First calculation section, 8... Second calculation section, 9... Logic section, 10... Judgment Part, 11
...Output, subscripts a and b indicate the a end and the b end. The same reference numerals in the figures indicate the same or corresponding parts.

Claims (1)

【特許請求の範囲】 1 電力系統の電圧信号と電力信号をデイジタル
サンブ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して座標
点を出力する第1演算部と、前記第1演算部の座
標点間を結ぶ弦を演算し、該弦の象限方向を出力
して演算する第2演算部と、前記弦の方向と象限
方向の変化を判定し、系統の脱調出力を送出する
論理部と、前記有効電力と無効電力軌跡の時間に
対する移動の割合によつて前記論理部の方向判定
をロツクする判定部とよりなる保護継電方式。 2 上記判定部は所定時間内の上記座標点の移動
距離が所定値以下のときは脱調判定をせず、かつ
所定値以下になつたときは初期状態にもどすこと
を特徴とする特許請求の範囲第1項記載の保護継
電方式。
[Scope of Claims] 1. A first calculation unit that calculates active power and reactive power at each sampling time from instantaneous values obtained by digitally sampling the voltage signal and power signal of the power system and outputs a coordinate point; a second computing unit that computes a string connecting the coordinate points of the first computing unit and outputs the quadrant direction of the string; 1. A protective relay system comprising: a logic unit that sends out a signal; and a determination unit that locks the direction determination of the logic unit based on the rate of movement of the active power and reactive power trajectories with respect to time. 2. The determination unit does not determine step-out when the moving distance of the coordinate point within a predetermined time is less than a predetermined value, and returns to the initial state when the distance is less than a predetermined value. Protective relay method described in scope 1.
JP3805584A 1984-02-28 1984-02-28 Protective relay system Granted JPS60183928A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP3805584A JPS60183928A (en) 1984-02-28 1984-02-28 Protective relay system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP3805584A JPS60183928A (en) 1984-02-28 1984-02-28 Protective relay system

Publications (2)

Publication Number Publication Date
JPS60183928A JPS60183928A (en) 1985-09-19
JPH0424934B2 true JPH0424934B2 (en) 1992-04-28

Family

ID=12514820

Family Applications (1)

Application Number Title Priority Date Filing Date
JP3805584A Granted JPS60183928A (en) 1984-02-28 1984-02-28 Protective relay system

Country Status (1)

Country Link
JP (1) JPS60183928A (en)

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS5938057A (en) * 1982-08-27 1984-03-01 出光石油化学株式会社 Packing bag

Also Published As

Publication number Publication date
JPS60183928A (en) 1985-09-19

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