JPH0452050B2 - - Google Patents
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- Publication number
- JPH0452050B2 JPH0452050B2 JP4191383A JP4191383A JPH0452050B2 JP H0452050 B2 JPH0452050 B2 JP H0452050B2 JP 4191383 A JP4191383 A JP 4191383A JP 4191383 A JP4191383 A JP 4191383A JP H0452050 B2 JPH0452050 B2 JP H0452050B2
- Authority
- JP
- Japan
- Prior art keywords
- calculation
- digital
- inner product
- vector inner
- result
- 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
Links
- 238000004364 calculation method Methods 0.000 claims description 32
- 238000001514 detection method Methods 0.000 claims description 15
- 238000005070 sampling Methods 0.000 description 12
- 230000001360 synchronised effect Effects 0.000 description 6
- 238000010586 diagram Methods 0.000 description 5
- 238000000034 method Methods 0.000 description 4
- 238000013139 quantization Methods 0.000 description 4
- 238000006243 chemical reaction Methods 0.000 description 3
- 230000010363 phase shift Effects 0.000 description 3
- 230000001681 protective effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 1
- 230000006870 function Effects 0.000 description 1
- 230000009993 protective function Effects 0.000 description 1
Landscapes
- Emergency Protection Circuit Devices (AREA)
Description
【発明の詳細な説明】
本発明はデイジタル形同期検出継電器に関す
る。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a digital synchronous detection relay.
デイジタル量によつて電力系統の保護演算を行
なうデイジタル形保護継電器において、その1つ
の保護機能として2系統間の同期状態を両系統電
圧の比較によつて監視し、同期はずれを検出した
ときに適当な系統位置のしや断器引はずし処置を
する同期検出処理がある。この同期検出機能を持
つ継電器は、第1図に特性図を示すように一方の
電圧V1に対して他方の電圧V2の位相差がθが判
定角±θ0の範囲内にあるか否かによつて同期検出
をする。この同期検出には、両系統電圧V1,V2
の位相差θと判定角θ0で決まる整定値K(=
cosθ0)から
cosθ≧K ……(1)
なる判定をし、実際的には下記(2)式で表わすよう
に電圧V1とV2のベクトル内積の演算と整定値
KV1,V2との大小比較によるものであつた。 In a digital protective relay that performs power system protection calculations using digital quantities, one of its protective functions is to monitor the synchronization status between two systems by comparing the voltages of both systems, and to detect an out-of-synchronization There is a synchronization detection process that determines the system position and takes measures to trip the disconnector. As shown in the characteristic diagram in Figure 1, a relay with this synchronization detection function detects whether the phase difference between one voltage V 1 and the other voltage V 2 is within the range of the judgment angle ±θ 0 . Synchronous detection is performed depending on the method. For this synchronous detection, both system voltages V 1 and V 2
The setting value K (=
cosθ 0 ), it is determined that cosθ≧K ……(1), and in practice, the vector inner product of voltages V 1 and V 2 is calculated and the set value is calculated as shown in equation (2) below.
This was due to the size comparison with KV 1 and V 2 .
V1V2cosθ≦KV1V2 ……(2)
ところで、デイジタル形保護継電器における系
統電圧、電流データの取込みには、第2図に示す
ように系統から変成器等で検出したアナログ信号
(図示では電圧V1,V2)をサンプルホールド回路
11,12で一定周期のサンプリングをし、このサ
ンプル値をマルチプレクサ2によつて順次アナロ
グ−デイジタル(A/D)変換器3に取込み、変
換器3で変換したデイジタル信号を使つてマイク
ロコンピユータなどのデイジタル式保護演算装置
4による保護演算をする。同期検出継電器では保
護演算結果として同期有無の出力を得る。このデ
イジタル形保護継電器ではサンプリングに伴う量
子化誤差が存在し、この誤差分及びA/D変換器
3の変換誤差分が保護演算の誤差として現われ
る。そして、同期検出継電器では判定角θ0が一般
に0°〜30°に設定され、演算値cosθ及び整定値K
(cosθ0)が比較的小さいため上述の量子化誤差、
変換誤差分との比が小さくなつて判定精度が悪く
なる問題があつた。例えば、θ0=10°とθ0=15°に
おいては前述の(2)式の左辺V1V2cosθには約2%
の変化しかないし、整定刻みを1°間隔とするのは
判定不能にもなる。 V 1 V 2 cosθ≦KV 1 V 2 ...(2) By the way, in order to acquire system voltage and current data in a digital protective relay, as shown in Fig. 2, an analog signal ( In the figure, the voltages V 1 , V 2 ) are sampled at a constant period by sample-and-hold circuits 1 1 , 1 2 , and the sample values are sequentially taken into an analog-digital (A/D) converter 3 by a multiplexer 2 . Using the digital signal converted by the converter 3, a digital protection calculation device 4 such as a microcomputer performs protection calculation. The synchronization detection relay obtains an output indicating the presence or absence of synchronization as a result of the protection calculation. In this digital protection relay, there is a quantization error associated with sampling, and this error and the conversion error of the A/D converter 3 appear as an error in the protection calculation. In a synchronous detection relay, the judgment angle θ 0 is generally set to 0° to 30°, and the calculated value cosθ and setting value K
Since (cosθ 0 ) is relatively small, the above-mentioned quantization error,
There was a problem that the ratio to the conversion error became small and the judgment accuracy deteriorated. For example, at θ 0 = 10° and θ 0 = 15°, the left side of equation (2) above, V 1 V 2 cos θ, has a value of about 2%.
There is only a change of , and if the setting increments are set at 1° intervals, it becomes impossible to judge.
本発明の目的は、2つの電圧検出信号の位相差
θが小さくとも精度良く同期検出できる同期検出
継電器を提供するにある。 An object of the present invention is to provide a synchronous detection relay that can perform synchronous detection with high accuracy even if the phase difference θ between two voltage detection signals is small.
第3図は本発明における保護演算装置の一実施
例を示すブロツク図である。電圧検出信号V1,
V2はベクトル内積演算部5の演算入力にされて
ベクトル内積V1V2cosθが演算される。一方、信
号V2は移相部6にも入力されて電気角で90°移相
される。この移相部6の移相信号V2e-j90°と信号
V1はベクトル内積演算部7の演算入力にされて
ベクトル内積演算がなされ、これはV1V2sinθの
演算がなされる。演算部5及び7の演算結果は
夫々絶対値演算部8及び9によつて絶対値化|
V1V2cosθ|,|V1V2sinθ|が施される。演算部
9の出力|V1V2sinθ|は乗算部10において整
定値−Kが乗算される。この乗算部10の乗算結
果−K|V1V2sinθ|は加算部11で絶対値演算
部8の出力|V1V2cosθ|と加算、すなわち減算
がなされる。加算部11の加算結果
|V1V2cosθ|−K|V1V2sinθ|
は正負判定部12によつて正負判定がなされる。
一方、ベクトル内積演算部5の演算結果V1V2
cosθは正負判定部13で正負判定がなされる。出
力部14は判定部13と12の判定が両方共に正
にあるときに同期はずれ出力を得る。 FIG. 3 is a block diagram showing an embodiment of the protection arithmetic device according to the present invention. Voltage detection signal V 1 ,
V 2 is input to the vector inner product calculation unit 5, and the vector inner product V 1 V 2 cosθ is calculated. On the other hand, the signal V 2 is also input to the phase shifter 6 and phase-shifted by 90 degrees in electrical angle. The phase shift signal V 2 e -j90 ° of this phase shift section 6 and the signal
V 1 is input to the vector inner product calculation unit 7 to perform a vector inner product calculation, which is the calculation of V 1 V 2 sinθ. The calculation results of calculation units 5 and 7 are converted into absolute values by absolute value calculation units 8 and 9, respectively.
V 1 V 2 cosθ|, |V 1 V 2 sinθ| are applied. The output |V 1 V 2 sin θ| of the calculation unit 9 is multiplied by a set value −K in the multiplication unit 10 . The multiplication result -K|V 1 V 2 sin θ| of the multiplication unit 10 is added or subtracted from the output |V 1 V 2 cos θ| of the absolute value calculation unit 8 in the addition unit 11. The addition result |V 1 V 2 cosθ|−K|V 1 V 2 sinθ| of the addition unit 11 is determined to be positive or negative by the positive/negative determination unit 12.
On the other hand, the calculation result of the vector inner product calculation unit 5 V 1 V 2
Cos θ is determined to be positive or negative by the positive/negative determining section 13 . The output section 14 obtains an out-of-synchronization output when the judgments of the judgment sections 13 and 12 are both positive.
こうした構成により、判定部12及び13の判
定は
|V1V2cosθ|≧K|V1V2sinθ| ……(3)
V1V2cosθ≧0 ……(4)
となり、(3)式は次の(5)式に変換される。 With this configuration, the judgments of the judgment units 12 and 13 are as follows: |V 1 V 2 cosθ|≧K|V 1 V 2 sinθ| ...(3) V 1 V 2 cosθ≧0 ...(4), (3) The equation is converted to the following equation (5).
|coTθ|≧K ……(5)
この(5)式から明らかなように、信号V1,V2の
位相差θの0°〜30°の範囲における正接値|coTθ
|の変化が大きくなつて同期検出判定が容易にな
る。例えば、θ=10°と15°とでは正接値|coTθ|
に30%以上の変化がある。 |coTθ|≧K ...(5) As is clear from equation (5), the tangent value of the phase difference θ between the signals V 1 and V 2 in the range of 0° to 30° |coTθ
As the change in | becomes larger, it becomes easier to detect and judge synchronization. For example, at θ=10° and 15°, the tangent value |coTθ|
There is a change of 30% or more.
また、量子化誤差等によりベクトル内積に含ま
れる誤差分は、ベクトル内積部5と7の出力比を
判定することになつて相殺され、精度良い判定を
得ることができる。 Further, errors included in the vector inner product due to quantization errors and the like are canceled out by determining the output ratio of the vector inner product sections 5 and 7, and a highly accurate determination can be obtained.
第4図は本発明におけるデイジタル保護演算装
置のフローチヤートを示す。電圧検出信号V1V2
は第2図のものと同様にサンプリングとA/D変
換によつてデイジタル量として順次取込み(ステ
ツプS1)、このデイジタル信号V1,V2に対するベ
クトル内積演算をする(ステツプS2)。このステ
ツプS2での演算結果A(=|V・1||V・2|cosθ)
は例えば3積法により求められる。この3積法は
連続する3つのサンプリングデータを使用する方
法で、信号V1,V2を夫々
V1=V1sinωt ……(6)
V2=V2sin(ωt−θ) ……(7)
としてV1,V2夫々の連続する3つのサンプリン
グデータV11,V12,V13及びV21,V22,V23とす
ると、下記(8)式の演算から
V11V21−K1V12V22+V13V23
=K2V・1V・2cosθ……(8)
ベクトル内積K2V・1V・2cosθを得ることができ
る。定数K1,K2はサンプリング角で定まる値で
30度間隔ではK1=1,K2=1/2になる。 FIG. 4 shows a flowchart of the digital protection arithmetic device according to the present invention. Voltage detection signal V 1 V 2
are sequentially taken in as digital quantities by sampling and A/D conversion as in the case of FIG. 2 (step S 1 ), and a vector inner product operation is performed on these digital signals V 1 and V 2 (step S 2 ). Operation result A at step S2 (=|V・1 ||V・2 |cosθ)
is determined, for example, by the three product method. This three product method uses three consecutive sampling data, and the signals V 1 and V 2 are respectively V 1 =V 1 sinωt ……(6) V 2 =V 2 sin(ωt−θ) ……( 7) If three consecutive sampling data of V 1 and V 2 are respectively V 11 , V 12 , V 13 and V 21 , V 22 , V 23 , then from the calculation of equation (8) below, V 11 V 21 −K 1 V 12 V 22 +V 13 V 23
=K 2 V・1 V・2 cosθ (8) The vector inner product K 2 V・1 V・2 cosθ can be obtained. The constants K 1 and K 2 are values determined by the sampling angle.
At 30 degree intervals, K 1 = 1, K 2 = 1/2.
次に、信号V2を90°移相したサンプリングデー
タV・2′を取出す(ステツプS3)。このステツプS3
では信号V2がサンプリング間隔30°で取出される
ときは3サンプル分前のデータをメモリから読出
すことを意味する。サンプリングデータV・2′は信
号V・1の現時点のサンプリングデータV1とのベク
トル内積演算を行なう(ステツプS4)。このベク
トル内積は前述の(8)式と同様に行なわれ、サンプ
リングデータV・2′に続く3つのデータとV・1の3
つのデータを使つて演算される。この演算結果B
はV・2′が90°移相されていることから、V・1・V・
2
sinθに相当する。 Next, sampling data V.2 ' obtained by shifting the phase of the signal V2 by 90 degrees is extracted (step S3). This step S3
In this case, when the signal V 2 is taken out at a sampling interval of 30°, it means that data of three samples before is read from the memory. The sampling data V.2 ' is subjected to a vector inner product operation with the current sampling data V.sub.1 of the signal V.1 (step S4). This vector inner product is performed in the same way as the above equation (8), and the three data following the sampling data V・2 ′ and the three data of V・1 are
Calculated using two data. This calculation result B
Since V・2 ′ is phase shifted by 90°, V・1・V・
2
Corresponds to sinθ.
次に、ステツプS2及びS4で求めた値A,Bと
整定値Kを使つて次の(9)式の演算をする(ステツ
プS5)。 Next, the following equation (9) is calculated using the values A and B obtained in steps S2 and S4 and the set value K (step S5).
C=|A|−K|B| ……(9)
この演算結果Cについて、C≧Oの判定(ステ
ツプS6)及びA≧Oの判定(ステツプS7)の条
件成立で同期はずれの演算出力を得る(ステツプ
S8)。また、C<O又はA<Oのときには同期状
態にあるとする演算出力を得る(ステツプS9)。
こうした演算はサンプリング周期内に行なわれ、
各サンプリングデータが取込まれる都度同期はず
れの有無判定結果を得る。 C=|A|-K|B|...(9) Regarding this calculation result C, if the conditions of determination of C≧O (step S6) and determination of A≧O (step S7) are satisfied, the calculation output of out-of-synchronization is determined. get (step
S8). Further, when C<O or A<O, a calculation output indicating that the synchronization state exists is obtained (step S9).
These calculations are performed within the sampling period,
Each time each sampling data is taken in, a result of determining whether or not synchronization has occurred is obtained.
以上のとおり、本発明によれば、両系統の信号
V1,V2のベクトル内積と一方を90°移相したベク
トル内積との比を整定値Kと比較判定するため、
信号V1,V2の位相差が小さい場合にも量子化誤
差等に影響されることなく精度良い同期検出がで
きる効果がある。 As described above, according to the present invention, signals of both systems
In order to compare and judge the ratio of the vector inner product of V 1 and V 2 and the vector inner product with one phase shifted by 90° with the setting value K,
Even when the phase difference between the signals V 1 and V 2 is small, there is an effect that accurate synchronization detection can be performed without being affected by quantization errors and the like.
第1図は同期検出継電器の特性図、第2図はデ
イジタル形保護継電器の構成図、第3図は本発明
の一実施例を示すブロツク図、第4図は本発明に
おける保護演算装置のフローチヤートである。
11,12……サンプルホールド回路、2……マ
ルチプレクサ、3……A/D変換器、4……保護
演算装置、5,7……ベクトル内積演算部、6…
…移相部、8,9……絶対値演算部、10……乗
算部、11……加算部、12,13……正負判定
部、14……出力部。
Fig. 1 is a characteristic diagram of a synchronization detection relay, Fig. 2 is a configuration diagram of a digital protection relay, Fig. 3 is a block diagram showing an embodiment of the present invention, and Fig. 4 is a flowchart of a protection calculation device in the present invention. It's a chat. 1 1 , 1 2 ... Sample hold circuit, 2 ... Multiplexer, 3 ... A/D converter, 4 ... Protection calculation device, 5, 7 ... Vector inner product calculation section, 6 ...
...Phase shift section, 8, 9... Absolute value calculation section, 10... Multiplication section, 11... Addition section, 12, 13... Positive/negative determination section, 14... Output section.
Claims (1)
期で順次サンプルホールド及びアナログ−デイジ
タル変換してデイジタル形保護演算装置に取込
み、この保護演算装置は上記信号V1,V2のデイ
ジタル信号のベクトル内積演算した結果Aと、一
方のデイジタル信号を電気角で90°移相してベク
トル内積演算した結果Bと、上記演算結果AとB
の比が整定値Kより大きくかつ上記演算結果Aが
正にあるときに同期はずれ出力を得る手段を備え
たことを特徴とするデイジタル形同期検出継電
器。1. The voltage signals V 1 and V 2 of the two electric power systems are sequentially sampled and held at a constant period, and analog-to-digital converted and taken into a digital type protection calculation device, and this protection calculation device converts the digital signals of the signals V 1 and V 2 Result A of the vector inner product calculation, result B of the vector inner product calculation of one digital signal shifted by 90 degrees in electrical angle, and the above calculation results A and B.
1. A digital synchronization detection relay comprising means for obtaining an out-of-synchronization output when the ratio of K is larger than a set value K and the calculation result A is positive.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP4191383A JPS59169324A (en) | 1983-03-14 | 1983-03-14 | Digital synchronization detecting relay |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP4191383A JPS59169324A (en) | 1983-03-14 | 1983-03-14 | Digital synchronization detecting relay |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS59169324A JPS59169324A (en) | 1984-09-25 |
| JPH0452050B2 true JPH0452050B2 (en) | 1992-08-20 |
Family
ID=12621498
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP4191383A Granted JPS59169324A (en) | 1983-03-14 | 1983-03-14 | Digital synchronization detecting relay |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS59169324A (en) |
-
1983
- 1983-03-14 JP JP4191383A patent/JPS59169324A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS59169324A (en) | 1984-09-25 |
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