JPS6248449B2 - - Google Patents
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- Publication number
- JPS6248449B2 JPS6248449B2 JP55145497A JP14549780A JPS6248449B2 JP S6248449 B2 JPS6248449 B2 JP S6248449B2 JP 55145497 A JP55145497 A JP 55145497A JP 14549780 A JP14549780 A JP 14549780A JP S6248449 B2 JPS6248449 B2 JP S6248449B2
- Authority
- JP
- Japan
- Prior art keywords
- sin
- wto
- sampling
- frequency
- 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
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- Emergency Protection Circuit Devices (AREA)
Description
【発明の詳細な説明】
この発明は、デイジタル演算を行なう保護継電
装置、特にその周波数特性の改良に関するもので
ある。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a protective relay device that performs digital calculations, and particularly to improvements in its frequency characteristics.
従来この種の装置として第1図に示すものがあ
つた。図において、実線で示したのが、例えば系
統電流であれば、
i=Io sin wt
と表わされるもので、これを一定周期hでサンプ
リングすることにする。時刻toにおけるサンプリ
ング値は、
i(to)=Io sin wto −(1)
1サンプリング前の時刻(to−h)のサンプリ
ング値は、
i(to−h)=Io sin w(to−h)
となり、hを電気角90゜相当にすれば、時刻(to
−h)では、
i(to−h)=Io sin(wto−90゜)
=−Io cos wto −(2)
(1)、(2)式をそれぞれ2乗して加算すると
i2(to)+i2(to−h)
=Io2sin2who+(−Io)2cos2wto
=Io2(sin2wto+cos2wto)=Io2 −(3)
となりこれは、系統電流のピーク値の2乗とな
り、これは、正弦波電流値の大きさに関係した値
となる。従来のデイジタル保護継電器は、サンプ
リング周期hを系統電流の周波数で決まる90゜相
当に選び、(3)式で示された演算、すなわち、時刻
toと(to−h)のサンプリング値をそれぞれ2乗
して加算した値と、整定値とを比較することによ
つて過電流を検出するようにしていた。 A conventional device of this type is shown in FIG. In the figure, if the solid line is the system current, for example, it is expressed as i=Io sin wt, and this is sampled at a constant period h. The sampled value at time to is i(to)=Io sin wto −(1) The sampled value at time one sampling before (to−h) is i(to−h)=Io sin w(to−h) , h is equivalent to 90° electrical angle, time (to
-h), i (to-h) = Io sin (wto-90゜) = -Io cos wto -(2) (1) and (2) are squared and added to give i 2 (to) +i 2 (to-h) = Io 2 sin 2 who + (-Io) 2 cos 2 wto = Io 2 (sin 2 wto + cos 2 wto) = Io 2 -(3), which is the square of the peak value of the grid current. This is a value related to the magnitude of the sine wave current value. In conventional digital protective relays, the sampling period h is selected to be equivalent to 90° determined by the frequency of the grid current, and the calculation shown in equation (3), that is, the time
An overcurrent was detected by comparing a value obtained by squaring and adding the sampling values of to and (to-h) with a set value.
従来のデイジタル保護継電器は、周期hの発振
器を備えて系統周波数の90゜相当のサンプリング
をしていたので第2図に示した様に、電流量の周
波数が変化して1/2になつたとすると、1サンプ
リング前の(to−h)での電気角は45゜前になる
から
となり、(1)式と(4)式とをそれぞれ2乗して加算し
ても(3)式にはならない。周波数が1/2以外に変動
すれば、さらに複雑になり、数式では表現が困難
となり、系統電流の大きさに関係した値とならな
い。従つて、発電機の様に周波数0停止中から周
波数が定格の約2倍(ランナウエイスピード)ま
で変化し得る機器に対して、従来のデイジタル保
護継電器は保護することができない欠点があつ
た。 Conventional digital protective relays were equipped with an oscillator with a period of h and sampled the equivalent of 90° of the system frequency, so as shown in Figure 2, the frequency of the current amount changes and becomes 1/2. Then, the electrical angle at (to-h) before one sampling will be 45 degrees ago. Therefore, even if equations (1) and (4) are squared and added, equation (3) will not be obtained. If the frequency fluctuates by a factor other than 1/2, it becomes even more complicated and difficult to express using a mathematical formula, and the value is not related to the magnitude of the grid current. Therefore, conventional digital protective relays have the disadvantage of not being able to protect equipment such as generators whose frequency can change from zero frequency to approximately twice the rated speed (runaway speed).
この発明は、上記のような従来のものの欠点を
除去するためになされたもので、系統周波数とは
無関係な一定周期でサンプリングし、ある時刻と
その前後及びその2つ前後のサンプリング値より
演算して、正弦波電気量の大きさに関係した値を
導出することを目的としている。 This invention was made in order to eliminate the drawbacks of the conventional ones as described above, and it samples at a constant period independent of the system frequency and calculates from the sampled values at a certain time, before and after that, and two times before and after. The purpose of this study is to derive values related to the magnitude of the sinusoidal electrical quantity.
以下、この発明の一実施例を、第3図について
説明する。サンプリング周期をhとしたとき、時
刻(to−2h)、(to−h)、to、(to+h)、(to+
2h)のそれぞれの値は(5)式〜(9)式となる。 An embodiment of the present invention will be described below with reference to FIG. When the sampling period is h, time (to-2h), (to-h), to, (to+h), (to+
2h) are expressed by equations (5) to (9).
i(to−2h)=Io sin w(to−2h) −(5)
i(to−h)=Io sin w(to−h) −(6)
i(to)=Io sin wto −(7)
i(to+h)=Io sin w(to+h) −(8)
i(to+2h)=Io sin w(to+2h) −(9)
ここで、
i(to){i(to+2h)+i(to−2h)}−{i(to+h)−i(to−h)}2
=i(to)Io{sin w(to+2h)+sin w(to−2h)}−Io2{sin w(to+h)−sin w(to−h)}2
=i(to)Io{2sin wto cos2wh}−Io2{2cos wto sin wh}2
=i(to)2Io sin wto cos2wh−4Io2cos2wto sin2wh
=2i2(to)(1−2sin2wh)−4Io2(1−sin2wto)sin2wh
=2i2(to)(1−sin2wh)−4Io2sin2wh+4Io2sin2wto sin2wh
=2i2(to)−4i(to)2sin2wh−4Io2sin2wh+4i(to)2sin2wh
=2i2(to)−4Io2sin2wh −(10)
また、
{i(to+h)+i(to−h)}2
=Io2{sin w(to+h)+sin w(to−h)}2
=Io2{2sin wto cos wh}2
4Io2sin2wto cos2wh
=4i2(to)(1−sin2wh) −(11)
従つて、(10)式と(11)式よりsin2whを消去してIo2
を求めると
Io2=2i2(to)−i(to){i(to+2h)+i(to−2h)}+{i(to+h)−i(to−h)
}2/4sin2wh
=i2(to)〔2i2(to)−i(to){i(to+2h)+i(to−2h)〕+{i(to+h)−i
(to−h)}2}/4i2(to)−{i(to+h)+i(to−h)}2−(12)
となり、系統電流のピーク値の2乗が得られ、こ
れは周波数には全く関係しないことがわかる。i(to−2h)=Io sin w(to−2h) −(5) i(to−h)=Io sin w(to−h) −(6) i(to)=Io sin wto −(7) i(to+h)=Io sin w(to+h) −(8) i(to+2h)=Io sin w(to+2h) −(9) Here, i(to) {i(to+2h)+i(to−2h)}− {i(to+h)−i(to−h)} 2 = i(to)Io{sin w(to+2h)+sin w(to−2h)}−Io 2 {sin w(to+h)−sin w(to−h )} 2 =i(to)Io{2sin wto cos2wh}−Io 2 {2cos wto sin wh} 2 =i(to)2Io sin wto cos2wh−4Io 2 cos 2 wto sin 2 wh =2i 2 (to)(1 −2sin 2 wh) −4Io 2 (1−sin 2 wto) sin 2 wh =2i 2 (to) (1−sin 2 wh)−4Io 2 sin 2 wh+4Io 2 sin 2 wto sin 2 wh =2i 2 (to) −4i(to) 2 sin 2 wh−4Io 2 sin 2 wh+4i(to) 2 sin 2 wh =2i 2 (to)−4Io 2 sin 2 wh −(10) Also, {i(to+h)+i(to−h )} 2 = Io 2 {sin w (to + h) + sin w (to - h)} 2 = Io 2 {2sin wto cos wh} 2 4Io 2 sin 2 wto cos 2 wh =4i 2 (to) (1 - sin 2 wh) −(11) Therefore, by eliminating sin 2 wh from equations (10) and (11), Io 2
Io 2 = 2i 2 (to) - i (to) {i (to + 2h) + i (to - 2h)} + {i (to + h) - i (to - h)
} 2 /4sin 2 wh = i 2 (to) [2i 2 (to) - i (to) {i (to + 2h) + i (to - 2h)] + {i (to + h) - i
(to-h)} 2 }/4i 2 (to)-{i(to+h)+i(to-h)} 2 -(12), and the square of the peak value of the grid current is obtained, which changes depending on the frequency. It turns out that they are not related at all.
そこで、本願発明の一実施例をブロツク図で示
せば第4図のとおりとなる。 Therefore, one embodiment of the present invention is shown in a block diagram as shown in FIG. 4.
系統電流iをアナログフイルター1を介してサ
ンプルホールド回路2に導入し、サンプリング同
期hでサンプルホールドされたアナログ値をアナ
ログ・デイジタル変換回路3にてデイジタル値と
して入力回路4に取込む。この入力回路5の出力
から上記(12)式に基づいた演算を演算処理回路5で
行ない、その結果を出力回路6を経由して出力す
る。各回路の同期等の制御は制御回路7で行なわ
れる。 A system current i is introduced into a sample and hold circuit 2 via an analog filter 1, and an analog value sampled and held at sampling synchronization h is inputted into an input circuit 4 as a digital value by an analog-to-digital conversion circuit 3. The arithmetic processing circuit 5 performs calculation based on the above equation (12) from the output of the input circuit 5, and outputs the result via the output circuit 6. Control such as synchronization of each circuit is performed by a control circuit 7.
なお、上記実施例では、系統電流の値が整定値
を超えた場合を検出する過電流検出について説明
したが、電圧検出にすれば、過電圧検出として使
用することもでき、また、検出を反転させること
で、不足電圧検出にも適用でき、上記実施例と同
様の効果を奏する。また、電流の差で動作する電
流差動保護継電器や、電圧と電流でインピーダン
スを演算する距離継電器についても適用でき、同
様の効果を奏する。 In addition, in the above embodiment, overcurrent detection that detects when the value of grid current exceeds a set value was explained, but if voltage detection is used, it can also be used as overvoltage detection, or it can be used as overvoltage detection. Therefore, the present invention can also be applied to undervoltage detection, and the same effects as those of the above embodiments can be achieved. The present invention can also be applied to current differential protection relays that operate based on a difference in current, and distance relays that calculate impedance based on voltage and current, and similar effects can be achieved.
以上のように、この発明によれば、(12)式を演算
処理させるようにしたので、系統周波数の変化に
全く影響されないデイジタル保護継電装置が得ら
れる効果がある。 As described above, according to the present invention, since equation (12) is subjected to arithmetic processing, it is possible to obtain a digital protective relay device that is completely unaffected by changes in the system frequency.
第1図は、系統電流が定格周波数のときの波形
と、サンプリングの関係を示した図、第2図は、
系統電流が定格周波数の1/2となつたときの波形
と、サンプリングの関係を示した図、第3図は、
系統電流の周波数が定格周波数の一となつたとき
の波形を本発明の原理で演算処理する場合を説明
した図である。第4図は本発明の保護継電装置の
一実施例を示すブロツク図である。
Figure 1 shows the relationship between the waveform and sampling when the grid current is at the rated frequency, and Figure 2 shows the relationship between sampling.
Figure 3 shows the relationship between the waveform and sampling when the grid current becomes 1/2 of the rated frequency.
It is a figure explaining the case where the waveform when the frequency of a system current becomes one of the rated frequency is arithmetic-processed by the principle of this invention. FIG. 4 is a block diagram showing one embodiment of the protective relay device of the present invention.
Claims (1)
したサンプリング値に基いてデイジタル演算をす
る保護継電装置において、サンプリングした値を
一定周期に従つて連続に5個取り込み、これらサ
ンプリング値をi(to−2h)、i(to−h)、i
(to)、i(to+h)、i(to+2h)としたとき、 i2(to)〔2i2(to)−i(to){i(to+2h)+i(to−2h)}+{i(to+h)−i(t
o−h)}2〕/4i2(to)−{i(to+h)+i(to−h)}2 の演算処理を実行するように構成したことを特徴
とする保護継電装置。[Scope of Claims] 1. In a protective relay device that performs digital calculation based on sampled values obtained by sampling the amount of electricity in a system at an arbitrary fixed period, five sampled values are continuously acquired at a fixed period, and these sampling values are Set the value to i(to-2h), i(to-h), i
(to), i (to + h), i (to + 2h), i 2 (to) [2i 2 (to) - i (to) {i (to + 2h) + i (to - 2h)} + {i (to + h )−i(t
o-h)} 2 ]/4i 2 (to)-{i(to+h)+i(to-h)} 2 A protective relay device characterized in that it is configured to perform the calculation process of 2.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP55145497A JPS5768615A (en) | 1980-10-16 | 1980-10-16 | Protecting relay |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP55145497A JPS5768615A (en) | 1980-10-16 | 1980-10-16 | Protecting relay |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS5768615A JPS5768615A (en) | 1982-04-27 |
| JPS6248449B2 true JPS6248449B2 (en) | 1987-10-14 |
Family
ID=15386618
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP55145497A Granted JPS5768615A (en) | 1980-10-16 | 1980-10-16 | Protecting relay |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS5768615A (en) |
-
1980
- 1980-10-16 JP JP55145497A patent/JPS5768615A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS5768615A (en) | 1982-04-27 |
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