JPH0332285B2 - - Google Patents

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Publication number
JPH0332285B2
JPH0332285B2 JP56096002A JP9600281A JPH0332285B2 JP H0332285 B2 JPH0332285 B2 JP H0332285B2 JP 56096002 A JP56096002 A JP 56096002A JP 9600281 A JP9600281 A JP 9600281A JP H0332285 B2 JPH0332285 B2 JP H0332285B2
Authority
JP
Japan
Prior art keywords
phase
current
ground fault
fault
transmission line
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
JP56096002A
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Japanese (ja)
Other versions
JPS57211930A (en
Inventor
Fumio Ando
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.)
Toshiba Corp
Original Assignee
Tokyo Shibaura Electric Co Ltd
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 Tokyo Shibaura Electric Co Ltd filed Critical Tokyo Shibaura Electric Co Ltd
Priority to JP9600281A priority Critical patent/JPS57211930A/en
Publication of JPS57211930A publication Critical patent/JPS57211930A/en
Publication of JPH0332285B2 publication Critical patent/JPH0332285B2/ja
Granted legal-status Critical Current

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Description

【発明の詳細な説明】[Detailed description of the invention]

(a) 技術分野 本発明は併架多回線送電線に用いられる地絡回
線選択継電器の改良に関する。 (b) 従来技術 高抵抗接地系の平行2回線送電線(以下被保護
送電線という)と他の送電線(以下起誘導送電線
という)が同一鉄塔に併架されている場合には、
起誘導送電線の電流による誘導のため、被保護送
電線の2回線間を循環する電流が流れ、地絡回線
選択継電器による保護が困難となる。更に起誘導
送電線が直接接地系で地絡事故で大きな零相電流
が流れる場合および他の場合でも異地点異相地絡
で大きな零相電流が流れる場合には、誘導により
被保護送電線に大きな電圧電流を生じ、通常の誘
導では誤動作しない場合でも地絡回線選択継電器
が誤動作するようになる。 以下、これを図面を用いて説明する。第1図は
多回線併架送電線の例を説明する系統図である。
図で1L,2Lは起誘導送電線、3L,4Lは被
保護送電線、Tは変圧器、Rは抵抗器、A,B,
C,Dは母線であり、EF間で起誘導送電線と被
保護送電線が同一鉄塔に併架される。変圧器Tの
中性点は起誘導送電線側では直接接地され、被保
護送電線側では抵抗器Rを経て接地される。図の
例では下位系の母線D側は接地されていない。 簡単のため被保護送電線は母線CとDの間の負
荷電流を零として説明する。起誘導送電線1Lお
よび2Lには各々電流IおよびI′が流れる。この
電流と併架区間の相互インピーダンスにより区間
EF間の送電線3Lおよび4Lに各々電圧υnおよ
びυn′が誘導される。この電圧により送電線3L
および4Lに各々電流iおよびi′が流れまた、母
線CD間に電圧υoを生ずる。 第2図は併架区間の電線配置の例を説明する図
である。A,B,C,A′,B′,C′,a,b,c,
a′,b′およびc′は各々送電線1L,2L,3Lお
よび4Lのa,b,c各相の電線であり、例えば
図示の間隔(単位メートル)で配置されている。
起誘導側電線では逆配列、送電線1Lが上から
A,B,C、2Lが上からC′,B′,A′となつて
おり、被保護送電線では順配列で送電線1L,2
Lとも上からa,b,cおよびa′,b′,c′の順に
なつている。このような配列により被保護送電線
3Lおよび4Lにのみ負荷電流が流れても電流i
とi′は等しく、送電線3Lおよび4Lを循環する
電流i−i′は生じない。循環電流は被保護送電線
に事故が無い限り起誘導送電線電流によつてのみ
生ずる。以下、これを説明する。 起誘導送電線電流によつて被保護送電線に生ず
る誘導電圧は次式で表わされる。 但し、υan,υbn,υcn,υan′,υbn′およびυcn

は各々誘導電圧υnおよびυn′のa,b,c各相の
値、ZAa……ZCcc′は各々添字第一文字の電線と第
二文字の電線の間の相互インピーダンスで、例え
ばZAaは電線Aとaの間の相互インピーダンス
a,b,c,′a,′b,および′cは
各々送電線1Lおよび2Lの電流および′の
各相の値である。 この誘導電圧により被保護送電線3Lおよび4
Lを循環する電流が流れ、送電線3Lと4Lの電
流の差は(2)式となる。 1/2ia−i′a ib−i′b ic−i′c=1Zppυan−υ′an υbn−υ′bn υcn−υ′cn …(2) 但し、ia,ib,ic,i′a,i′bおよびi′cは各々送電

3Lおよび4Lの電流iおよびi′の各相の値、Zpp
は送電線3Lおよび4Lの回線間ループインピー
ダンスである。 また、誘導電圧により、母線CD間に生ずる電
圧は(3)式となる。 υao υbo υco=υan υbn υcn+Zoo/2ia ib ic=υan′ υbn′ υcn′+Zoo/2ia′ ib′ ic′ …(3) 但し、υao,υbo,υcoは各々誘導により母線CD
間に生ずる電圧υoのa,b,c各相の値である。 ia=ia′,ib=ib′,ic=ic′であるの、(3)式より υao υbo υco=1/2υan+υan′ υbn+υbn′ υcn+υcn′ …(4) となる。 (1)式で用いられている相互インピーダンスは近
似的に次式で表わされる。 ZAa=μlog2He/DAa …(5) 但し、μは空気中の透磁率、は併架距離、 Heは影像対地面の深さ(400m程度)、DAaは電
線Aとaの間隔である。 以上の循環電流による差電流および零相誘導電
圧の常時および上位系1相地絡時の値を一系統例
について求めると下記となる。 〔条件 1〕 起誘導送電線1L停止、2L平常運転で2L
の電流は(6)式の状態A =2000A 0゜,B=2000A 240゜,C =2000A 120゜ …(6) 但し、 □°はεj〓〓を示し、以下同様とする。 ia−ia′=98.8A 356゜ ib−ib′=44.4A 348゜ ic−ic′=26.4A 345゜ ip−ip′=56.4A 352゜ υpo=2.84KV 67゜ ……(7) 但し、ip=1/3(ia+ib+ic)ip′=1/3(ia′+
ib′+ ic′) υpo=1/3(υao+υbo+υco) 〔条件 2〕 起誘導送電線1Lおよび2Lとも平常運転で電
流は(8)式の状態 AA′=1000A 0゜BB′=1000A 240゜C ==C′=1000A 120゜ …(8) ia−ia′=94.4A 335゜ ib−ib′=42.8A 333゜ ic−ic′=25.6A 333゜ ip−ip′=54.2A 334゜ υpo=0.52KV 129゜ …(9) 〔条件 3〕 起誘導送電線1Lおよび2L運転、2LのF
地点でA′が7000Aのa相1相地絡で、上位系
事故前a相電圧を0゜とする。 ia−ia′=474A 278゜ ib−ib′=232A 277゜ ic−ic′=150A 276゜ ip−ip′=285A 277゜ υpo=31.7KV 169゜ …(10) 以下条件1および条件2を最大負荷状態、条件
3を事故電流による最大誘導状態として説明す
る。 高抵抗接地系送電線の1相地絡事故保護に用い
られる従来の地絡回線選択継電器はいずれも平行
送電線の零相差電流ip−ip′により、被保護送電線
の地絡事故回線を識別するものである。その代表
的なものについて、いかなる不具合を生ずるか
を、母線Dの端子について説明する。 〔方向形〕 第1図の母線Dに設けられる場合、
送電線3Lと4Lの零相差電流ip−ip′の有効分
(母線Dの零相電圧と同位相の成分)が正の一定
値以上であれば送電線3をしや断し、負の一定値
以下であれば送電線4をしや断する。このしや断
は一般に母線Dの零相電圧が一定値(この計算例
では20KV程度)以上であることを条件に行なわ
れ、他の回線選択継電器でも同様の条件が付加さ
れる。 条件1および条件2の常時運転状態では零相差
電流ip−ip′の値は50A強である。この状態では零
相誘導電圧υpoが小さく母線Dの零相電圧υpDも小
さいため誤動作することは無い。しかし、この状
態で被保護送電線を含む系統に1相地絡事故を生
ずると、事故分零相電圧および事故分零相電流を
生じこれによる零相差電流(7)式および(9)式に示さ
れる誘導分の零相差電流に重畳される。事故が外
部(送電線3Lおよび4L以外の部分)のときは
事故分零相差電流は零であり、零相差電流ip
ip′は(7)式または(9)式の値となる。地絡回線選択
継電器はこの零相差電流で動作してはならず、前
記の条件1および条件2を最大負荷状態とすれ
ば、動作値は(7)式または(9)式の値より若干大きい
値、たとえば70Aとしなければならない。 条件3の起誘導送電線1相地絡事故の場合は(10)
式の零相差電流ip−ip′および零相誘電電圧υpo
生ずる。母線Dの零相電圧υpDは次式で示される。 υpD≒ZpD/ZpC+ZcDυpo …(11) 但し、ZpCおよびZpDは各々母線CおよびDの背
後零相インピーダンスである。 第1図のように母線Dの側に中性点接地抵抗器
が無く、且つ静電容量も小さく、ZcD≫ZpCである
場合にはυpD≒υpoとなる。この場合、条件3の計
算例では、零相差電流ip−ip′の有効分は−88Aで
前記の整定値例70Aより小さく、継電器が動作し
送電線4Lがしや断される。また母線Dの側の静
電容量が大きくZpDが容量性の場合は、ZpCが抵抗
性であるので母線Dの零相電圧υpDは零相誘導電
圧υpoより遅れ位相となる。 第3図はこのような場合の零相電圧υpo,υpD
よび零相差電流ip−ip′の関係の例を示す図であ
る。図のように電圧υpDが電圧υpoより30゜遅れると
すれば、前記計算例での零相差電流ip−ip′の有効
分は−205Aとなり継電器は更に誤動作し易くな
る。 このような場合の誤動作を避けるには動作値を
前記の他70Aより更に大きな値としなければなら
ない。このような大きな動作値とし得ない場合
は、起誘導送電線がしや断され地絡回線選択継電
器が復帰するまでしや断を指令しないよう限時し
や断としなければならない。この場合は被保護送
電線の地絡事故でも同様の限時しや断となる不利
がある。 〔変化量形〕 このものは、1相地絡時の零相差
電流ip−ip′の事故前の値を記憶量に対する変化量
の有効分に応動する。被保護送電線を含む系統
(以下被保護系統という)地絡事故の場合には零
相差電流ip−ip′の変化量分電流のみであり、外部
事故では零となり、内部事故(送電線3Lまたは
4Lの事故)では正しく事故回線を選択するよう
に流れる。動作値は理論上著しく小さくできる
が、実際には記憶量その他演算過程での誤差で制
限される。この誤差を10%とすれば、動作値の下
限は(7)式および(9)式より5A強となり、動作値は
例えば7Aとなる。 また、条件3を考慮するとすれば、零相差電流
ip−ip′の値は(10)式の値と同等になり得るので、前
記の動作値7Aでは誤動作が非常に起こり易い。 〔補償形〕 このものは誘導による零相差電流を
健全相差電流で補償し補償後の零相差電流の有効
分に応動するものである。補償後電流ipcは例えば
次式で示される。 (i) a相地絡 ipc=ip−ip′−Rc(ic−ic′) …(12) (ii) b相地絡 ipc=ip−ip′−Ra(ia−ia′) …(13) (iii) c相地絡 ipc=ip−ip′−Rb(ib−ib′) …(14) 但し、Ra,RbおよびRcは複素定数である。 (12)〜(14)式で定数Ra,RbおよびRcは、次式
が成立することが望ましい。 Ra(ia−ia′)=Rb(ib−ib′) =Rc(ic−ic′)=ip−ip′ …(15) 条件1および条件2で(15)式が近似的に成立す
るような値として、定数Ra,RbおよびRcを次の
値として説明する。 Ra=0.57 3゜,Rb=1.26 3゜,Rc=2.12 4゜ …(16) 但し □°はε-j〓〓〓を示す。(以下同様) 被保護系統の1相地絡事故では、健全相差電流
は変化しないので、外部1相地絡事故時の補償後
電流ipcは各条件に応じて(12)〜(14)式に(7)式,(9)
式または(10)式の値を代入し、次のようになる。 (i) 条件1 a相地絡 ipc=3.0A 74゜ b相地絡 ipc=0.99A 86゜ c相地絡 ipc=1.06 60゜ …(17) (ii) 条件2 a相地絡 ipc=2.86A 128゜ b相地絡 ipc=1.94A 52゜ c相地絡 ipc=1.90A 106゜ …(18) (vi) 条件3 a相地絡 ipc=37A 124゜ b相地絡 ipc=20.4 126゜ c相地絡 ipc=16.9A 162゜ …(19) 動作値は(17)および(18)式の最大値より若
干大きい値たとえば5Aとすることができる。し
かし、条件3を考慮するとすれば、(19)式の値
を対象に動作値を定めなければならない。 以上のように従来の零相差電流を用いる地絡回
線選択継電装置は、多回線併架送電線に用いた場
合、いずれも誘導による零相差電流の影響による
感度上の制約を有するものである。 (c) 目的 本発明は以上に鑑みなされたもので、誘導電流
による感度上の制約の少い地絡回線選択継電器を
提供するのを目的とする。 (d) 発明の骨子 本発明は極性量と平行送電線の逆相差電流を主
とする検出電流を演算量として地絡事故回線を識
別する回線選択手段を備え、地絡相識別手段が1
相地絡事故相を識別し、この地絡相識別手段の識
別結果に従つて回線選択手段で用いる演算量を演
算量選択手段が予め設定される中から選択するこ
とを骨子とする。 逆相差電流は誘導による影響が零相差電流に対
して小さいので、その分感度上の制約が緩和さ
れ、1相地絡事故相に応じた適切な地絡事故回線
識別手段によつて事故回線を高感度に識別し得
る。逆相差電流は単独で利用されるのみでなく、
事故前の値に対する値の変化分または他の差電流
で補償された電流の形で用いられ、各々に応じた
感度の保護が可能である。 (e) 一実施例 (i) 構成 第4図は本発明の一実施例の構成を示す図であ
る。図で1は母線でa,b,cは相記号を示す。
2および3は送電線、4および5はしや断器、6
および7は変流器、8は計器用変圧器、9は入力
変換器、10はサンプルホールド回路、11はマ
ルチプレクサ、12はAD変換器、13は演算器
である。 変流器6および7により送電線2および3の電
流に対応した電流を得、図示の接続によりa,
b,c各相の差電流ia−ia′,ib,io′およびic
ic′と零相差電流の3倍の値3(ip−ip′)が得られ
る。また、計器用変圧器8により母線を通じて送
電線2および3の端子電圧に対応した電圧υa
υb,υcおよび零相電圧υpが得られる。これらの電
流電圧は入力変換器9に加えられ、次のサンプル
ホールド回路10に適当な値の電圧に変換され
る。入力変換器9にはフイルタが設けられており
各電圧電流の基本波分のみがサンプルホールド回
路10の出力として得られる。サンプルホールド
回路では同一時刻に一定周期(例えば電圧電流の
1周期の1/12の周期)で入力値をサンプルホール ドする。このホールド値はマルチプレクサ11に
より遂次AD変換器12に供給されデイジタル値
に変換される。このデイジタル値により演算器1
3が所要の演算を行ない、所定条件のときしや断
器4および5のしや断を指令する。 (ii) 作用・効果 演算器13で行なわれる本発明の一実施例のフ
ローを第5図に示す。先ずステツプS1で開始指
令が与えられるとステツプS2で1相地絡事故検
出を行なう。ここで1相地絡事故が検出されず
NOの判断が得られれば他の演算へ移る。1相地
絡事故が検出されYESの判断が得られれば、ス
テツプS3に進み地絡相選別演算を行なう。ステ
ツプS3では先ずステツプS3−1でa相地絡検出
演算を行ないa相地絡が検出されれば判定3Yaを
得る。a相地絡が検出されなければステツプS3
−2に進みb相地絡検出演算を行なう。b相地絡
が検出されれば判定3Ybを得、検出されなければ
ステツプS3−3に進み。相地絡検出演算を行な
う。c相地絡が検出されれば判定3Ycを得、検出
されなければ判定3Nを得て他の演算へ移る。 ステツプS3で判定3Ya,3Ybまたは3Ycがいず
れか得られたときは、ステツプS4で演算量を与
える。判定3Yaが得られたときはステツプS4−1
で演算量aが、判定3Ybが得られたときはステツ
プS4−2で演算量bが、判定3Ycが得られたとき
はステツプS4−3で演算量cが各々与えられる。
ステツプS4で演算量が与えられると、ステツプ
S5に進み回線選択演算を行なう。 ステツプS5では先ずステツプS5−1でステツ
プS4で与えられた演算量のサンプル値を算出す
る。次いでステツプS5−2でS5−1で得られた
サンプル値を用いて送電線2の事故検出演算を行
ない、送電線2の事故が検出されれば判定5Y1を
得てしや断器4をしや断する。送電線2の事故が
検出されなければステツプS5−3に進み送電線
3の事故検出演算を行う。演算量3の事故が検出
されれば判定5Y2を得てしや断器5をしや断し、
検出されなければ判定5Nを得て他の演算に移る。 以上でステツプS2の1相地絡検出演算には
種々の手段がある。その一例を示せば、次の
(20)および(21)式の条件をすべて満足したと
き、1相地絡事故と判断するものがある。 |υp|K0 …(20) |υa−υb|>K2,|υb−υc|>K2, |υc−υa|>K2 …(21) 但し、|υp|,|υa−υb|,|υb−υc|,|υc
−υa
|は各々零相電圧υp3相の各相間電圧υa−υb
υb−υc,υc−υaの大きさ(実効値、波高値また
は平均値など)を示し、以下同様の記号で大き
さを示す。また、K1およびK2は定数である。 零相電圧υpは1相地絡および2相地絡事故のと
きのみ生ずるので、(20)式でこれらの事故が生
じたことが検出され、高抵抗接地系では相間電圧
υa−υb,υb−υcおよびυc−υaは1相地絡ではいず
れも低下せず、2相地絡では地絡事故相間のもの
が低下するので、(21)式で1相地絡のみ分離さ
れる。 ステツプS3の地里相選別演算にも種々の手段
があるが、その一例を示せば次の条件で地絡相を
選別するものがある。 (i) a相地絡 υp・(υb−υc) θ0<O且つυp・ (υb−υc) θ2<O …(22) (ii) b相地絡 υp・(υc−υa) θ0<O且つυp・ (υc−υa) θ2>O …(23) (iii) c相地絡 υp・(υa−υb) >O且つυp・ (υa−υb) θ2>O …(24) 但し、υp・(υb−υc) θ0はυpと(υb−υc
ε-j1
の内積を示し、以下同様とする。またθ1および
θ2は一定角度である。 高抵抗接地系統の1相地絡事故では、零相電圧
υpの位相は地絡相(例えばa相)に対する直角位
相電圧(例えばbc相間電圧υb−υp)に対して、ほ
ぼ90゜遅れの位相にあるので、この位相関係で地
絡相を識別し得る。(22)式は電圧υpのbc相間電
圧υb−υcに対する遅れ位相がθ1±90゜の範囲にあり
且つθ2±90゜の範囲にもあるときa相地絡を検出
するもので、θ1>θ2とすれば(θ1−90゜)〜(θ2
90゜)の遅れ位相範囲にあるときa相事故を検出
する。θ1およびθ2の値としては各々120゜〜150゜お
よび60゜〜30゜の値が用いられ、θ1=120゜,θ2=60

とすれば、υpがυb−υcに対して30゜〜150゜の遅れ位
相範囲のときa相事故が検出される。 以上のステツプS2の1相地絡検出演算、ステ
ツプS3の地絡相選別手段はいずれも公知の手段
であるので簡単のため詳細な説明を省略する。ま
た、公知の他の種々の手段があり、これらの他の
手段を使用しても同様に目的を達し得るものであ
る。 ステツプS4ではステツプ5の回線選択演算に
必要な演算量として検出電流idおよび極性量eP
与えられる。その一実施例を第1表に示す。
(a) Technical Field The present invention relates to improvements in ground fault line selection relays used in parallel multi-circuit transmission lines. (b) Prior art When a high-resistance grounded parallel two-circuit transmission line (hereinafter referred to as a protected transmission line) and another power transmission line (hereinafter referred to as an induced transmission line) are installed on the same tower,
Due to the induction caused by the current in the power transmission line, a circulating current flows between the two circuits of the protected power transmission line, making protection by a ground fault circuit selection relay difficult. Furthermore, if a large zero-sequence current flows due to a ground fault in a directly grounded transmission line, or if a large zero-sequence current flows due to a ground fault at a different point, in other cases, a large zero-sequence current flows in the protected transmission line due to induction. This generates voltage and current, causing the ground fault line selection relay to malfunction even if it would not malfunction under normal induction. This will be explained below using the drawings. FIG. 1 is a system diagram illustrating an example of a multi-circuit parallel power transmission line.
In the figure, 1L and 2L are induction transmission lines, 3L and 4L are protected transmission lines, T is a transformer, R is a resistor, A, B,
C and D are busbars, and the induced transmission line and protected transmission line are installed on the same tower between EF. The neutral point of the transformer T is directly grounded on the inductive power transmission line side, and is grounded via a resistor R on the protected power transmission line side. In the illustrated example, the bus D side of the lower system is not grounded. For simplicity, the protected power transmission line will be explained assuming that the load current between bus bars C and D is zero. Currents I and I' flow through the induction power transmission lines 1L and 2L, respectively. Due to this current and the mutual impedance of the parallel section,
Voltages υ n and υ n ' are induced in the power transmission lines 3L and 4L between EF, respectively. With this voltage, the power transmission line 3L
Currents i and i' flow through and 4L, respectively, and a voltage υ o is generated across the bus line CD. FIG. 2 is a diagram illustrating an example of the arrangement of electric wires in the parallel section. A, B, C, A', B', C', a, b, c,
A', b', and c' are electric wires of phases a, b, and c of power transmission lines 1L, 2L, 3L, and 4L, respectively, and are arranged, for example, at the intervals shown (in meters).
In the induction side electric wires, the transmission lines 1L are arranged in reverse order, with the transmission lines 1L being A, B, C from the top, and 2L being C', B', A' from the top, and the protected transmission lines are arranged in the order of transmission lines 1L, 2.
The order of L is a, b, c and a', b', c' from the top. Due to this arrangement, even if the load current flows only through the protected transmission lines 3L and 4L, the current i
and i' are equal, and no current i-i' circulates through the power transmission lines 3L and 4L. Circulating currents are generated only by induced transmission line currents unless there is a fault on the protected transmission line. This will be explained below. The induced voltage generated in the protected power transmission line by the induced power transmission line current is expressed by the following equation. However, υ an , υ bn , υ cn , υ an ′, υ bn ′ and υ cn

are the values of the a, b, and c phases of the induced voltages υ n and υ n ′, respectively, and Z Aa ...Z Ccc ′ are the mutual impedances between the wires with the first letter and the wire with the second letter, for example, Z Aa is the mutual impedance a, b, c, 'a, 'b, and 'c between the electric wires A and a, and the values of the current and each phase of the power transmission lines 1L and 2L, respectively. This induced voltage causes the protected power transmission lines 3L and 4 to
A current circulates through L, and the difference in current between power transmission lines 3L and 4L is expressed by equation (2). 1/2i a −i′ a i b −i′ b i c −i′ c = 1Z pp υ an −υ′ an υ bn −υ′ bn υ cn −υ′ cn …(2) However, i a , i b , i c , i′ a , i′ b and i′ c are the values of each phase of currents i and i′ of transmission lines 3L and 4L, respectively, Z pp
is the loop impedance between the power transmission lines 3L and 4L. Furthermore, the voltage generated between the bus bars CD due to the induced voltage is expressed by equation (3). υ ao υ bo υ coan υ bn υ cn +Zoo/2i a i b i can ′ υ bn ′ υ cn ′+Zoo/2i a ′ i b ′ i c ′ …(3) However, υ ao , υ bo , υ co are each induced by bus line CD
These are the values of the a, b, and c phases of the voltage υ o that occurs between the two. i a = i a ′, i b = i b ′, i c = i c ′, from equation (3), υ ao υ bo υ co = 1/2υ anan ′ υ bnbn ′ υ cncn ′ …(4). The mutual impedance used in equation (1) is approximately expressed by the following equation. Z Aa = μlog2H e /D Aa …(5) However, μ is the magnetic permeability in the air, is the parallel installation distance, H e is the depth of the image to the ground (about 400 m), and D Aa is the distance between electric wires A and a. It is. The values of the differential current due to the above circulating current and the zero-phase induced voltage at all times and at the time of a one-phase ground fault in the upper system are determined as follows for one system example. [Condition 1] 1L of induction power transmission line stopped, 2L in normal operation
The current in Equation (6) is A = 2000A 0°, B = 2000A 240°, C = 2000A 120°...(6) However, □° indicates ε j 〓〓, and the same applies below. i a −i a ′=98.8A 356゜i b −i b ′=44.4A 348゜i c −i c ′=26.4A 345゜i p −i p ′=56.4A 352゜υ po =2.84KV 67゜ ...(7) However, i p = 1/3 (i a + i b + i c ) i p ′=1/3 (i a ′+
i b ′ + i c ′) υ po = 1/3 (υ ao + υ bo + υ co ) [Condition 2] Both induction power transmission lines 1L and 2L are in normal operation, and the current is in the state of equation (8) A = A ′= 1000A 0゜BB ′=1000A 240゜C == C ′=1000A 120゜ …(8) i a −i a ′=94.4A 335゜i b −i b ′=42.8A 333゜i c −i c ′=25.6A 333゜i p −i p ′=54.2A 334゜υ po =0.52KV 129゜ …(9) [Condition 3] Induction transmission line 1L and 2L operation, 2L F
At point A ', there is a 7000A A-phase 1-phase ground fault, and the A-phase voltage before the fault in the upper system is 0°. i a −i a ′=474A 278゜i b −i b ′=232A 277゜i c −i c ′=150A 276゜i p −i p ′=285A 277゜υ po =31.7KV 169゜ …(10 ) Conditions 1 and 2 will be described below as the maximum load state, and Condition 3 as the maximum induction state due to fault current. Conventional ground fault line selection relays used to protect one-phase ground fault faults on high-resistance grounding power transmission lines are capable of detecting ground fault fault lines on the protected power transmission line due to the zero-sequence difference current i p - i p ' of parallel transmission lines. It is used to identify The terminals of the bus D will be explained as to what kinds of problems occur in typical cases. [Directional type] When installed on the generatrix D in Fig. 1,
If the effective component of the zero-sequence difference current i p −i p ' between the transmission lines 3L and 4L (component in the same phase as the zero-sequence voltage of the bus D) is greater than a certain positive value, the transmission line 3 is disconnected, and the negative If it is below a certain value, the power transmission line 4 is cut off. This cutting is generally performed on the condition that the zero-sequence voltage of the bus D is above a certain value (approximately 20 KV in this calculation example), and the same condition is applied to other line selection relays. In the constant operating state of conditions 1 and 2, the value of the zero-sequence difference current i p -i p ' is a little over 50 A. In this state, the zero-phase induced voltage υ po is small and the zero-phase voltage υ pD of the bus D is also small, so there is no malfunction. However, if a one-phase ground fault occurs in the system including the protected transmission line under this condition, zero-sequence voltage and zero-sequence current will be generated, and the resulting zero-sequence difference current will be expressed as Equations (7) and (9). It is superimposed on the zero-sequence difference current of the induced component shown. If the fault is outside (a part other than transmission lines 3L and 4L), the zero-sequence difference current for the fault is zero, and the zero-sequence difference current i p -
i p ′ becomes the value of equation (7) or equation (9). The ground fault line selection relay must not operate with this zero-sequence difference current, and if the above conditions 1 and 2 are set to the maximum load state, the operating value is slightly larger than the value of equation (7) or equation (9). value, for example 70A. In the case of condition 3, a one-phase ground fault in the induced power transmission line, (10)
A zero-sequence difference current i p −i p ′ and a zero-sequence dielectric voltage υ po of the equation are generated. The zero-sequence voltage υ pD of the bus D is expressed by the following equation. υ pD ≒Z pD /Z pC +Z cD υ po (11) However, Z pC and Z pD are the zero-sequence impedances behind the bus lines C and D, respectively. As shown in FIG. 1, if there is no neutral grounding resistor on the bus D side and the capacitance is small, and Z cD ≫ Z pC , then υ pD ≒ υ po . In this case, in the calculation example for condition 3, the effective component of the zero-sequence difference current i p -i p ' is -88 A, which is smaller than the above-mentioned setting value example 70 A, and the relay operates and the power transmission line 4L is briefly disconnected. Further, when the capacitance on the side of the bus D is large and Z pD is capacitive, Z pC is resistive, so the zero-sequence voltage υ pD of the bus D is delayed in phase from the zero-sequence induced voltage υ po . FIG. 3 is a diagram showing an example of the relationship between the zero-sequence voltages υ po and υ pD and the zero-sequence difference currents i p -i p ' in such a case. If the voltage υ pD lags the voltage υ po by 30 degrees as shown in the figure, the effective portion of the zero-sequence difference current i p −i p ' in the above calculation example becomes -205 A, making the relay even more likely to malfunction. In order to avoid malfunctions in such cases, the operating value must be set to a value larger than the other 70A mentioned above. If such a large operating value cannot be achieved, a time-limited disconnection must be used so that a disconnection command is not issued until the induced power transmission line is temporarily disconnected and the ground fault line selection relay is restored. In this case, there is a disadvantage that even in the event of a ground fault in the protected power transmission line, the power outage will be interrupted for a similar period of time. [Variation type] In this type, the pre-failure value of the zero-sequence difference current i p -i p ' at the time of a one-phase ground fault responds to the effective portion of the variation with respect to the stored amount. In the case of a ground fault in a system that includes protected transmission lines (hereinafter referred to as protected system), the current is only the amount of change in the zero-sequence difference current i p −i p ′; in the case of an external fault, it becomes zero; 3L or 4L accident), the flow will prompt you to correctly select the accident line. Although the operating value can be reduced significantly in theory, it is actually limited by the amount of memory and errors in the calculation process. If this error is 10%, the lower limit of the operating value will be a little over 5A from equations (7) and (9), and the operating value will be, for example, 7A. Also, if condition 3 is considered, the zero-sequence difference current
Since the value of i p -i p ' can be equivalent to the value of equation (10), malfunction is very likely to occur at the above operating value of 7A. [Compensation type] This type compensates the zero-sequence difference current due to induction with a healthy phase-difference current, and responds to the effective part of the compensated zero-sequence difference current. The compensated current i pc is expressed, for example, by the following equation. (i) A-phase ground fault i pc = i p −i p ′−R c (i c −i c ′) …(12) (ii) B-phase ground fault i pc = i p −i p ′−R a (i a −i a ′) …(13) (iii) C-phase ground fault i pc = i p −i p ′−R b (i b −i b ′) …(14) However, R a , R b and R c are complex constants. It is desirable that the constants R a , R b , and R c in equations (12) to (14) satisfy the following equation. R a (i a −i a ′)=R b (i b −i b ′) = R c (i c −i c ′)=i p −i p ′ …(15) Under conditions 1 and 2, ( 15) Constants R a , R b , and R c will be explained using the following values as values that approximately satisfy the equation. R a = 0.57 3°, R b = 1.26 3°, R c = 2.12 4° …(16) However, □° indicates ε -j 〓〓〓. (Similarly below) In the case of a 1-phase ground fault in the protected system, the healthy phase difference current does not change, so the compensated current i pc in the case of an external 1-phase ground fault can be calculated using equations (12) to (14) according to each condition. (7), (9)
Substituting the value of expression or (10), we get the following. (i) Condition 1 A-phase ground fault i pc = 3.0A 74° B-phase ground fault i pc = 0.99A 86° C-phase ground fault i pc = 1.06 60° …(17) (ii) Condition 2 A-phase ground fault i pc = 2.86A 128゜B phase ground fault i pc = 1.94A 52゜C phase ground fault i pc = 1.90A 106゜ ...(18) (vi) Condition 3 A phase ground fault i pc = 37A 124゜B phase Ground fault i pc = 20.4 126° C-phase ground fault i pc = 16.9 A 162° (19) The operating value can be set to a value slightly larger than the maximum value of equations (17) and (18), for example, 5 A. However, if condition 3 is to be considered, the operating value must be determined based on the value of equation (19). As mentioned above, conventional ground fault line selection relay devices that use zero-sequence difference currents have sensitivity limitations due to the influence of zero-sequence difference currents caused by induction when used on multi-circuit parallel transmission lines. . (c) Purpose The present invention was made in view of the above, and it is an object of the present invention to provide a ground fault line selection relay with fewer restrictions on sensitivity due to induced current. (d) Outline of the Invention The present invention is provided with a line selection means for identifying a line in which a ground fault has occurred by using a detected current mainly consisting of a polarity quantity and a negative phase difference current of a parallel transmission line as calculation quantities, and a ground fault phase identification means is provided with one
The main point is that the phase-to-ground fault fault phase is identified, and the calculation amount selection means selects the amount of calculation to be used by the line selection means from among those set in advance according to the identification result of the earth-fault phase identification means. Since the influence of induction on negative phase difference currents is smaller than on zero-sequence difference currents, restrictions on sensitivity are relaxed accordingly, and fault lines can be identified by appropriate ground fault fault line identification means according to the single-phase ground fault fault phase. Can be identified with high sensitivity. The negative phase difference current is not only used alone, but also
It is used in the form of a current compensated for by the change in value relative to the pre-fault value or by other difference currents, allowing protection of sensitivity depending on each. (e) Embodiment (i) Configuration FIG. 4 is a diagram showing the configuration of an embodiment of the present invention. In the figure, 1 is a bus bar, and a, b, and c are phase symbols.
2 and 3 are power transmission lines, 4 and 5 are bridges and disconnectors, 6
and 7 is a current transformer, 8 is an instrument transformer, 9 is an input converter, 10 is a sample hold circuit, 11 is a multiplexer, 12 is an AD converter, and 13 is an arithmetic unit. A current corresponding to the current of the transmission lines 2 and 3 is obtained by the current transformers 6 and 7, and a,
B, c phase difference current i a −i a ′, i b , i o ′ and i c
A value 3 (i p −i p ′), which is three times the zero-sequence difference current as i c ′, is obtained. In addition, the voltage υ a , which corresponds to the terminal voltage of the power transmission lines 2 and 3 through the bus bar by the instrument transformer 8, is
υ b , υ c and zero-sequence voltage υ p are obtained. These current voltages are applied to an input converter 9 and converted into voltages of appropriate values for the next sample and hold circuit 10. The input converter 9 is provided with a filter, and only the fundamental wave component of each voltage and current is obtained as the output of the sample and hold circuit 10. The sample and hold circuit samples and holds the input value at the same time and at a constant cycle (eg, 1/12 cycle of one cycle of voltage and current). This hold value is sequentially supplied to the AD converter 12 by the multiplexer 11 and converted into a digital value. Based on this digital value, the calculator 1
3 performs necessary calculations and instructs the disconnectors 4 and 5 to disconnect when predetermined conditions are met. (ii) Actions and Effects A flowchart of an embodiment of the present invention performed by the arithmetic unit 13 is shown in FIG. First, when a start command is given in step S1, one-phase ground fault detection is performed in step S2. No single-phase ground fault was detected here.
If a NO judgment is obtained, move on to other calculations. If a 1-phase ground fault is detected and a YES determination is obtained, the process advances to step S3 and a ground fault phase selection calculation is performed. In step S3, first, in step S3-1, an a-phase ground fault detection calculation is performed, and if an a-phase ground fault is detected, a determination 3Ya is obtained. If no a-phase ground fault is detected, step S3
Proceed to -2 to perform b-phase ground fault detection calculation. If a b-phase ground fault is detected, judgment 3Yb is obtained, and if not detected, the process proceeds to step S3-3. Perform phase-to-ground fault detection calculations. If a c-phase ground fault is detected, judgment 3Yc is obtained; if not detected, judgment 3N is obtained and the process moves on to other calculations. If any of the determinations 3Ya, 3Yb, or 3Yc is obtained in step S3, the amount of calculation is given in step S4. If judgment 3Ya is obtained, step S4-1
When the judgment 3Yb is obtained, the calculation amount b is given in step S4-2, and when the judgment 3Yc is obtained, the calculation amount c is given in step S4-3.
When the amount of calculation is given in step S4, step
Proceed to S5 to perform line selection calculation. In step S5, first, in step S5-1, a sample value of the calculation amount given in step S4 is calculated. Next, in step S5-2, the sample value obtained in S5-1 is used to perform a fault detection calculation on the power transmission line 2, and if a fault on the power transmission line 2 is detected, a judgment 5Y1 is obtained and the circuit breaker 4 is activated. I refuse. If an accident on the power transmission line 2 is not detected, the process proceeds to step S5-3, where an accident detection calculation on the power transmission line 3 is performed. If an accident with a calculation amount of 3 is detected, judgment 5Y2 is obtained and the breaker 5 is cut off.
If it is not detected, a judgment of 5N is obtained and the process moves on to other calculations. As described above, there are various means for the one-phase ground fault detection calculation in step S2. For example, when all of the following conditions (20) and (21) are satisfied, a one-phase ground fault is determined. |υ p |K 0 …(20) |υ a −υ b |>K 2 , |υ b −υ c |>K 2 , |υ c −υ a |>K 2 …(21) However, |υ p |、|υ a −υ b |、|υ b −υ c |、|υ c
−υ a
| is the zero-phase voltage υ p and the inter-phase voltage of each of the three phases υ a −υ b ,
Indicates the magnitude of υ b −υ c , υ c −υ a (effective value, peak value, average value, etc.), and hereinafter the magnitude is indicated by the same symbol. Moreover, K 1 and K 2 are constants. Since the zero-sequence voltage υ p occurs only when there is a one-phase ground fault or a two-phase ground fault, the occurrence of these faults is detected using equation (20), and in a high-resistance grounding system, the phase-to-phase voltage υ a −υ b . _ _ _ separated. There are various means for the ground phase selection calculation in step S3, and one example is one that selects ground fault phases based on the following conditions. (i) Phase a ground fault υ p・(υ b −υ c ) θ 0 <O and υ p・ (υ b −υ c ) θ 2 <O …(22) (ii) Phase b ground fault υ p・(υ c −υ a ) θ 0 <O and υ p・ (υ c −υ a ) θ 2 >O …(23) (iii) C-phase ground fault υ p・(υ a −υ b ) >O and υ p・(υ a −υ b ) θ 2 >O …(24) However, υ p・(υ b −υ c ) θ 0 is υ p and (υ b −υ c )
ε -j1
Indicates the inner product of , and the same applies hereafter. Further, θ 1 and θ 2 are constant angles. In a single-phase ground fault in a high-resistance grounding system, the phase of the zero-phase voltage υ p is approximately 90° with respect to the quadrature voltage (e.g., bc phase-to-phase voltage υ b - υ p ) with respect to the grounded phase (e.g., a phase). Since it is in a delayed phase, the ground fault phase can be identified from this phase relationship. Equation (22) detects an a-phase ground fault when the lagging phase of the voltage υ p with respect to the bc phase voltage υ b −υ c is within the range of θ 1 ±90° and also within the range of θ 2 ±90°. So, if θ 1 > θ 2 , (θ 1 −90°) ~ (θ 2 +
90°), an A-phase fault is detected. The values of θ 1 and θ 2 are 120° to 150° and 60° to 30°, respectively, where θ 1 = 120°, θ 2 = 60
If υ p is within the lagging phase range of 30° to 150° with respect to υ b - υ c , an a-phase fault will be detected. The above-described one-phase ground fault detection calculation in step S2 and the ground fault phase selection means in step S3 are both known means, so detailed explanations will be omitted for the sake of brevity. In addition, there are various other known means, and the purpose can be similarly achieved using these other means. In step S4, the detected current i d and the polarity e P are given as calculation amounts necessary for the line selection calculation in step 5. One example is shown in Table 1.

【表】 第1表でia2−ia2′,ib2−ib2′およびic2−ic2′は
各々a,bおよびc相を基準とする逆相差電流
υa1,υb1およびυc1は各々a,bおよびc相を基準
とする正相電圧で次式で表わされる。 ia2−ia2′=1/3〔(ia+a2ib+aic) −(ia′+a2ib′+aic′)〕 …(25) ib2−ib2′=1/3〔(ib+a2ic+aia) −(ib′+a2ic′+aia′)〕 …(26) ic2−ic2′=1/3〔(ic+a2ia+aib) −(ic′+a2ia′+aib′)〕 …(27) υa1=1/3(υa+aυb+a2υc) …(28) υb1=1/3(υb+aυc+a2υa) …(29) υc1=1/3(υc+aυa+a2υb) …(30) 但し、a=εj120゜である。 ステツプS5では、ステツプS5−1で上記の演
算量のサンプル値を算出し、ステツプS5−2お
よびS5−3では各々(31)および(32)式の演
算を行ない、各式が成立するとき動作し、各々判
定5Y1および5Y2を生ずる。 ep・id>K3|ep| …(31) ep・id>−K3|ep| …(32) (31)および(32)式でep+idはepとidの内積
を示し(以下同様)K3は正の実数定数である。
(31)および(32)式は各々検出電流idの極性量
epに対する有効分がK3より大きいときおよびK3
より小さいとき動作することを示す。 次に本実施例の作用を説明する。条件1、条件
2および条件3の状態でのa相基準逆相差電流
は、(7),(9),(10)および(25)式より、各々次の値
となる。 条件1:ia2−ia2′=21.2A 13゜ …(33) 条件2:ia2−ia2′=20.7A 37゜ …(34) 条件3:ia2−ia2′=96.3A 95゜ …(35) また、b相基準およびc相基準の逆相電流は次
式で表わされa相基準の逆相電流と大きさが等し
い。 ib2−ib2′=a(ia2−ia2′) ic2−ic2′=a2(ia2−ia2′) …(36) 被保護送電線を含む系統(以下被保護系統とい
う)の外部事故で流れる差電流は粒導分のみであ
り、条件1および条件2の最大負荷状態での差電
流の値が最大となる。上記のように条件1および
2の逆相差電流は20A強であり、被保護系統地絡
事故での誤動作を避けるための動作値((31)お
よび(32)式のK3の値)は例えば28Aとするこ
とが出来る。この値は従来の零相差電流の有効分
に応動する方向形に許容し得る動作値の40%であ
り、著しく高感度となし得る。また、条件3での
誤動作を避けるように動作値を選ぶ場合も、逆相
差電流の値((35)式)は零相差電流の値((10))
の1/3程度であり、高感度となし得る。 被保護系統で1相地絡事故を生じた場合の現象
を説明する。この場合の事故点電流および事故点
電圧は周知のように対称座標法で次式のように表
わされる。 i1F=i2F=i0F=e1F/Z1+Z2+Z0+3RF …(37) υ1F=Z2+Z0+3RF/Z1+Z2+Z0+3RFe1F …(38) υ2F=−Z2/Z1+Z2+Z0+3RFe1F …(39) υ0F=−Z0/Z1+Z2+Z0+3RFe1F …(40) 但し、i1F,i2Fおよびi0Fは各々事故点の正相、
逆相および零相電流、υ1F,υ2Fおよびυ0Fは各々事
故点の事故時の正相、逆相および零相電圧、e1F
は事故点の事故前の正相電圧であり、いずれも事
故相を基準とするものである。また、Z1,Z2およ
びZ0は各々事故点の正相、逆相および零相の駆動
点インピーダンス、RFは事故点抵抗である。 抵抗接地系では零相インピーダンスZ0が正相お
よび逆相インピーダンスZ1およびZ2に対して著し
く大きいので、(37)〜(40)式は近似的に次の
形となる。 i1F=i2F=i0F≒e1F/Z0+3RF …(41) υ1F≒e1F …(42) υ2F≒O …(43) υ0F≒−Z0/Z0+3RFe1F …(44) (41)〜(44)式により図面を用いて第1表の
検出電流idと極性量epの位相関係を説明する。 事故点の事故相電流iFは(41)式より(45)式
となる。 iF=i1F+i2F+i0F≒3e1F/Z0+3RF …(45) (45)式でZ0はリアクセンス分が小さく抵抗分
の大きいインピーダンスであるため、電流iFは第
6図のように事故点事故前事故相基準正相電圧
e1Fとほぼ同位相となる。この電流iFが事故区間送
電線端子より流入する。電流ia,ib,icおよびia′,
ib′,ic′のうちの事故相の事故分電流を各々iお
よびi′とすると、第6図のように事故相の事故
分差電流i−i′は送電線2の事故では電流iFと同
位相したがつて電圧e1Fとほぼ同位相となり、送
電線3の事故では電流iFと逆位相したがつて電圧
e1Fとほぼ逆位相となる。このような事故相事故
分差電流i−i′が事故相の誘導分差電流に重畳
される。健全相には事故分差電流は流れない。 各相基準の逆相差電流ia2−ia2′,ib2−ib2′およ
びic2−ic2′のうちの事故相基準の事故分逆相差電
流をi2−i2′とし、事故分零相差電流をi0
i0′とすると、各電流は(46)式となり、第6図
両者は等しい電流で且つ電流i−ii′と同位相で
ある。いずれも送電線2の事故では電圧e1Fとほ
ぼ同位相、送電線3の事故ではほぼ逆位相とな
る。 i2−i2′=i0−i0′=1/3(i−i′)
…(46) 一方、1相地絡では事故点の事故相基準の正相
電圧υ1Fは電圧e1Fと殆んど等しく、事故前の値か
ら変化しない。したがつて継電器設置点の事故相
基準の正相電圧υ1も事故による変化はなく、電
圧e1Fとの位相差は僅かである。したがつて事故
相基準の逆相差電流の事故電流分i2−i2′は事故
相基準の正相電圧υ1に対して送電線2の事故で
はほぼ同位相、送電線3の事故ではほぼ逆位相と
なる。 第1表の演算量a,bおよびcは各々a,bお
よびc相1相地絡事故で、検出電流idが事故相基
準の逆相差電流、極性量epが事故相基準の正相電
圧であるので、前述の関係から検出電流idの事故
電流分は極性量epに対して送電線2の事故ではほ
ぼ同位相、送電線3の事故ではほぼ逆位相とな
る。このため送電線2または3の事故では各々検
出電流idの極性量epに対する有効分が正または負
となり、(31)または(32)式に従つて、送電線
2または3の事故を検出することができる。 この検出感度を従来装置の方向形と比較する。
(46)式のように本実施例の検出電流idとして用
いられる逆相差電流の事故電流分i2−i2′は、従
来の方向形に用いられる零相差電流の事故電流分
i0−i0′と等しい。これに対して誘導による差電
流は本実施例が(33)〜(35)式の値であるのに
対して従来の方向形は(7),(9)および(10)式のi0
i0′の値であり、本実施例は誘導の影響が著しく小
さい。また、前述のように外部事故での誤動作を
避けるための動作値は従来の方向形に対して40%
程度の小さな値となし得る。これらのため本実施
例は従来の方向形に対して著しく高感度の保護を
なし得るものである。 (f) 他の実施例 (その1) 逆相差電流を用いる場合の検出電流idおよび極
性量epの選び方は第1表に限定されるものでなく
種々変形実施し得る。それらのうちの数例を第2
表に示す。
[Table] In Table 1, i a2 −i a2 ′, i b2 −i b2 ′ and i c2 −i c2 ′ are the negative phase difference currents υ a1 , υ b1 and υ c1 with reference to phases a, b and c, respectively. is a positive-sequence voltage based on the a, b, and c phases, respectively, and is expressed by the following equation. i a2 −i a2 ′=1/3 [(i a +a 2 i b +ai c ) −(i a ′+a 2 i b ′+ai c ′)] …(25) i b2 −i b2 ′=1/3 [(i b +a 2 i c +ai a ) −(i b ′+a 2 i c ′+ai a ′)] …(26) i c2 −i c2 ′=1/3 [(i c +a 2 i a +ai b ) −(i c ′+a 2 i a ′+ai b ′)] …(27) υ a1 = 1/3(υ a +aυ b +a 2 υ c ) …(28) υ b1 = 1/3(υ b +aυ c + a 2 υ a ) ...(29) υ c1 = 1/3 (υ c + a υ a + a 2 υ b ) ... (30) However, a = ε j120 °. In step S5, the sample value of the above calculation amount is calculated in step S5-1, and in steps S5-2 and S5-3, the calculations of equations (31) and (32) are performed, respectively, and the operation is performed when each equation holds true. and yield decisions 5Y1 and 5Y2, respectively. e p・i d >K 3 |e p | …(31) e p・i d >−K 3 |e p | …(32) In equations (31) and (32), e p +i d is ep and id (and so on) where K 3 is a positive real constant.
Equations (31) and (32) are the polarity of the detection current i and d , respectively.
When the effective component for e p is greater than K 3 and K 3
Indicates that it works when it is smaller. Next, the operation of this embodiment will be explained. The a-phase reference negative phase difference current under conditions 1, 2, and 3 has the following values from equations (7), (9), (10), and (25), respectively. Condition 1: i a2 −i a2 ′=21.2A 13° …(33) Condition 2: i a2 −i a2 ′=20.7A 37° …(34) Condition 3: i a2 −i a2 ′=96.3A 95° ...(35) Furthermore, the negative sequence currents based on the b-phase reference and the c-phase reference are expressed by the following equations, and are equal in magnitude to the negative-sequence current based on the a-phase reference. i b2 −i b2 ′=a (i a2 −i a2 ′) i c2 −i c2 ′=a 2 (i a2 −i a2 ′) …(36) System including protected transmission line (hereinafter referred to as protected system) ) The difference current that flows in the event of an external fault is only the grain conduction, and the value of the difference current in the maximum load state of conditions 1 and 2 is the maximum. As mentioned above, the negative phase difference current under conditions 1 and 2 is over 20A, and the operating value (value of K 3 in equations (31) and (32)) to avoid malfunction in a protected system ground fault is, for example It can be 28A. This value is 40% of the allowable operating value for the conventional directional type responsive to the effective component of the zero-sequence difference current, and can provide extremely high sensitivity. Also, when selecting the operating value to avoid malfunction under condition 3, the value of the negative phase difference current (formula (35)) is the value of the zero sequence difference current ((10))
It is about 1/3 of that, and can be considered highly sensitive. We will explain the phenomenon when a single-phase ground fault occurs in the protected system. In this case, the fault point current and fault point voltage are expressed by the following equation using the symmetric coordinate method, as is well known. i 1F =i 2F =i 0F =e 1F /Z 1 +Z 2 +Z 0 +3 RF …(37) υ 1F =Z 2 +Z 0 +3 RF /Z 1 +Z 2 +Z 0 +3 RF e 1F …(38) υ 2F = −Z 2 /Z 1 +Z 2 +Z 0 +3 RF e 1F …(39) υ 0F =−Z 0 /Z 1 +Z 2 +Z 0 +3 RF e 1F …(40) However, i 1F , i 2F and i 0F are the positive phases of the accident points, respectively,
Negative-sequence and zero-sequence current, υ 1F , υ 2F and υ 0F are positive-sequence, negative-sequence and zero-sequence voltage at the fault point, respectively, e 1F
is the positive phase voltage at the fault point before the fault, and both are based on the fault phase. Moreover, Z 1 , Z 2 and Z 0 are the driving point impedances of the positive phase, negative phase and zero phase of the fault point, respectively, and RF is the fault point resistance. In a resistive grounding system, the zero-sequence impedance Z 0 is significantly larger than the positive-sequence and negative-sequence impedances Z 1 and Z 2 , so equations (37) to (40) approximately take the following form. i 1F =i 2F =i 0F ≒e 1F /Z 0 +3 RF …(41) υ 1F ≒e 1F …(42) υ 2F ≒O …(43) υ 0F −Z 0 /Z 0 +3 RF e 1F ...(44) The phase relationship between the detected current i d and the polarity e p in Table 1 will be explained using equations (41) to (44) with reference to the drawings. The fault phase current i F at the fault point is given by equation (45) from equation (41). i F = i 1F + i 2F + i 0F ≒3e 1F /Z 0 +3 RF (45) In equation (45), Z 0 is an impedance with a small reaction component and a large resistance component, so the current i F is as shown in Figure 6. Fault point before fault phase reference positive sequence voltage
It has almost the same phase as e 1F . This current i F flows from the fault section transmission line terminal. Currents i a , i b , i c and i a ′,
If the fault currents of the fault phases of i b ′ and i c ′ are respectively i and i′, the fault difference current i−i′ of the fault phase is the current in the fault of transmission line 2, as shown in Figure 6. Since it is in phase with i F , it is almost in phase with voltage e 1F , and in the case of an accident on transmission line 3, it is in opposite phase with current i F , so voltage
e It is almost in opposite phase to 1F . Such a fault phase fault difference current i-i' is superimposed on the induced difference current of the fault phase. Fault differential current does not flow in the healthy phase. Of the negative phase difference currents i a2 −i a2 ′, i b2 −i b2 ′, and i c2 −i c2 ′ based on each phase, let the fault negative phase difference current based on the fault phase be i 2 −i 2 ′, and The zero-sequence difference current is i 0
When i 0 ', each current is expressed by equation (46), and both of them in FIG. 6 are equal currents and have the same phase as current i-ii'. In both cases, in the case of an accident on transmission line 2, the phase is almost the same as that of voltage e 1F , and in the case of an accident on transmission line 3, it is almost in the opposite phase. i 2 −i 2 ′=i 0 −i 0 ′=1/3(i−i′)
...(46) On the other hand, in the case of a one-phase ground fault, the fault phase reference positive-sequence voltage υ 1F at the fault point is almost equal to the voltage e 1F and does not change from the value before the fault. Therefore, the fault phase reference positive-sequence voltage υ 1 at the relay installation point also does not change due to the fault, and the phase difference with the voltage e 1F is small. Therefore, the fault current component i 2 −i 2 ′ of the negative phase difference current based on the fault phase is almost in phase with the positive sequence voltage υ 1 based on the fault phase in the case of a fault on transmission line 2, and almost in phase in the case of a fault on transmission line 3. The phase is opposite. The calculation quantities a, b, and c in Table 1 are for a, b, and c phase 1-phase ground fault, respectively, the detected current i d is the negative phase difference current based on the fault phase, and the polarity e p is the positive phase difference current based on the fault phase. Since it is a voltage, from the above-mentioned relationship, the fault current component of the detected current i d will be approximately in phase with respect to the polarity e p in the case of a fault on the power transmission line 2, and will be in almost the opposite phase in the case of a fault on the power transmission line 3. Therefore, in the case of an accident on the transmission line 2 or 3, the effective component of the detected current i d with respect to the polarity e p becomes positive or negative, and the accident on the transmission line 2 or 3 is detected according to equation (31) or (32). can do. This detection sensitivity will be compared with the directional type of the conventional device.
As shown in equation (46), the fault current component i 2 −i 2 ' of the negative phase difference current used as the detection current i d in this embodiment is the fault current component of the zero sequence difference current used in the conventional directional type.
Equal to i 0 −i 0 ′. On the other hand, the difference current due to induction has the values of equations (33) to (35) in this embodiment, whereas the conventional directional type has the values of i 0 − of equations (7), (9), and (10).
i 0 ', and the influence of induction is extremely small in this embodiment. In addition, as mentioned above, the operating value to avoid malfunction due to external accidents is 40% compared to the conventional directional type.
It can be taken as a small value. For these reasons, this embodiment can achieve protection with significantly higher sensitivity than the conventional directional type. (f) Other Examples (Part 1) The method of selecting the detection current i d and the polarity e p when using a negative phase difference current is not limited to those shown in Table 1, and various modifications may be made. A few examples of them
Shown in the table.

【表】 第2表の極性量epとして用いられる各電圧につ
いて図面を用いて説明する。第7図継電器設置点
の至近点でa相1相地絡を生じた場合の電圧を示
すベクトル図である。至近点事故であるので各対
称分電圧υa1,υa2,υpは(42)〜(44)式のυ1F
υ2FおよびυpFと同様となる。(零相電圧υpおよび零
相電流はどの相を基準にしても値が変わらないの
で基準相を省略する)。(44)式でZ0は抵抗性、
RFは抵抗であるので、事故点では零相電圧υpF
事故前事故相正相電圧e1Fとほぼ逆位相である。
したがつて第7図で零相電圧υpは事故前正相電圧
ea1とほぼ逆位相となる。(43)式のように逆相電
圧は無視可能であり、事故相基準の正相電圧は事
故前と変化しない。したがつてa相基準の正相電
圧υa1は電圧ea1と等しい。したがつて各相電圧
υa,υbおよびυcは各々電圧υa1,a2υa1およびaυa1
と零相電圧υpの和となり、図示のようなベクトル
となる。相間電圧υb−υc,υc−υaおよびυa−υb
事故前から変化しない。事故点が遠い場合でも、
事故前の値から変化しない電圧の位相変化は僅か
であり、第7図の状態と近似と考えて良い。 第2表の組合せ1〜3では検出電流idは第1表
と等しく、極性量ePのみ異なつたものとしてい
る。組合せ1の演算量aの極性量ePとして用いら
れる事故相電圧と零相電圧の差υa−υpは第7図の
点nより点aへのベクトルで表わされ、電圧υa1
に等しい。組合せ2のa相量に用いられる電圧υb
−υcは図示のように電圧υa1に対して90゜遅れであ
り、事故相に対する直角位相電圧(υb−υc
90゜は電圧υa1と同位相となる。組合せ3の極性量
ePとして用いられる電圧υpは図示のようにa相事
故では電圧υa1と逆位相であり、電圧−υpはυa1
同位相となる。 以上のようにa相1相地絡でa相量の極性量eP
は組合せ1〜3のものがすべて第1表のものと同
位相である。同様にb相またはc相1相地絡では
b相量またはc相量の極性量ePは組合せ1〜3の
ものがすべて第1表のものと同位相である。この
ような関係から組合せ1〜3の極性量ePを第1表
のかわりに用いても、(31)および(32)式での
演算結果には変わりがなく、組合せ1〜3を第1
表と同様に用い得る。 検出電流idまたは極性量ePの一方は演算量a,
bおよびcで同一のものとすることができる。組
合せ4は検出電流idを同一とし、組合せ5は極性
量ePを同一としたものである。組合せ4では、 の関係があり、組合せ5では の関係があり、いずれも極性量ePと検出電流id
相対的関係は第1表と全く等しく、全く同様に応
動する。 以上の第1表および第2表の演算量はいずれも
ステツプS5−2およびS5−3で(31)および
(32)式の内積演算を行なう場合のものである。
ステツプS5−2およびS5−3は検出電流idが極性
量ePに対してどのような関係にあるかを検出する
ためのもので、内積演算のみでなく検出量の選定
に応じて他の種々の演算とすることができる。検
出電流idと極性量ePの外積を演算するのはこの一
例であり、この場合第1表および第2表の演算量
のいずれか一方を90゜位相を変えたものとする。
例えば第2表組合せ2では前記の外積演算を用い
るときは極性量ePを演算量a,bおよびcで各々
υa−υb,υb−υcおよびυc−υaとし、90゜位相を進

る手数を省くことができる。 以上の各実施例はいずれも平行送電線の逆相差
電流を検出電流として使用するものであり、前述
の従来の方向形に対して著しく高感度となし得る
ものである。従来の変化量形および補償形ほどの
高感度は得られないが、これらは相手端子しや断
時には不良応動をする欠点があり、事故発生後相
手端しや断までの時間を予想してロツクするか、
または相手端しや断を検出してロツクする必要の
あるものである。以上の各実施例はこのような欠
点の無いもので、前述のような感度を実現し得る
ものである。 以下、この問題を第8図を用いて説明する。第
8図で第1図の被保護送電線部分のみを示すもの
で同一部分は同一記号で示す。また、Fは事故点
である。図aのように事故が母線Dの至近点Fで
生じたとする。この場合、母線C側の送電線3L
および4Lの端子電流は事故電流分が等しく、変
化分形および補償形とも動作せず、母線D側の送
電線3Lの端子のみしや断される。尚、しや断ま
では誘導による循環電流iiが流れており、これが
母線D側の差電流として表われている。 送電線3Lの母線D側端子がしや断されると図
bの状態となる。母線Cの側の送電線3Lの電流
iは事故電流分のみとなり4Lの端子電流は負荷
電流分と母線DからCの方に流れる事故電流分に
なる。誘導分の電流は消失される。変化量形に用
いられる零相差電流は事故電流分と誘導分のみで
あり、図aからbへ移行したとき誘導分が失なわ
れ事故電流分が生ずる。このとき、事故電流分は
送電線3Lの事故を検出するように変化する。し
かし、誘導分の変化が送電線4Lの事故を検出す
る方向であり且つ事故電流分の変化より大きい
と、変化量形は送電線4Lの事故を誤まつて検出
する。 補償形では健全相差電流で零相差電流を補償す
る。図bの状態ではこの補償が負荷電流で行なわ
れるようになるため、誤まつて送電線4の事故を
検出する恐れがある。 (その2)
[Table] Each voltage used as the polarity e p in Table 2 will be explained using the drawings. FIG. 7 is a vector diagram showing the voltage when an A-phase 1-phase ground fault occurs at a point close to the relay installation point. Since this is a close point accident, each symmetrical voltage component υ a1 , υ a2 , υ p is υ 1F in equations (42) to (44),
It is similar to υ 2F and υ pF . (Since the values of zero-sequence voltage υ p and zero-sequence current do not change no matter which phase is used as the reference, the reference phase is omitted.) In equation (44), Z 0 is resistance,
Since R F is a resistance, the zero-sequence voltage υ pF at the fault point is almost in opposite phase to the pre-fault positive-sequence voltage e 1F .
Therefore, in Figure 7, the zero-sequence voltage υ p is the positive-sequence voltage before the accident.
e has almost the opposite phase to a1 . As shown in equation (43), the negative sequence voltage can be ignored, and the positive sequence voltage of the fault phase reference does not change from before the fault. Therefore, the a-phase reference positive-sequence voltage υ a1 is equal to the voltage e a1 . Therefore, the phase voltages υ a , υ b and υ c are respectively the voltages υ a1 , a 2 υ a1 and aυ a1
and the zero-sequence voltage υ p , resulting in a vector as shown. The phase-to-phase voltages υ b −υ c , υ c −υ a and υ a −υ b do not change from before the accident. Even if the accident point is far away,
The phase change in the voltage that does not change from the value before the accident is slight, and can be considered to be an approximation to the state shown in FIG. In combinations 1 to 3 in Table 2, the detected current i d is the same as in Table 1, and only the polarity amount e P is different. The difference υ a −υ p between the fault phase voltage and the zero-sequence voltage, which is used as the polarity e P of the calculation amount a in combination 1, is expressed by a vector from point n to point a in Figure 7, and the voltage υ a1
be equivalent to. Voltage υ b used for the a-phase quantity of combination 2
−υ c lags the voltage υ a1 by 90° as shown, and the quadrature voltage for the fault phase (υ b −υ c )
90° is in phase with the voltage υ a1 . Polar amount of combination 3
As shown in the figure, the voltage υ p used as e P is in the opposite phase to the voltage υ a1 in the case of an a-phase fault, and the voltage -υ p is in the same phase as υ a1 . As mentioned above, the polarity of the a-phase quantity e P in the a-phase 1-phase ground fault
All combinations 1 to 3 are in phase with those in Table 1. Similarly, in a b-phase or c-phase one-phase ground fault, the polarity e P of the b-phase quantity or c-phase quantity is all in phase with the combinations 1 to 3 of Table 1. From this relationship, even if the polarity e P of combinations 1 to 3 is used instead of Table 1, there is no change in the calculation results in equations (31) and (32).
Can be used in the same way as a table. One of the detection current i d or the polarity e P is the calculation amount a,
b and c can be the same. Combination 4 has the same detection current i d , and combination 5 has the same polarity amount e P . In combination 4, There is a relationship, and in combination 5 In both cases, the relative relationship between the polarity amount e P and the detected current i d is exactly the same as in Table 1, and they respond in exactly the same way. The calculation amounts in Tables 1 and 2 above are for the case where the inner product calculations of equations (31) and (32) are performed in steps S5-2 and S5-3.
Steps S5-2 and S5-3 are for detecting what kind of relationship the detected current i d has with the polarity amount e P , and not only calculates the inner product but also calculates other Various calculations can be performed. An example of this is to calculate the cross product of the detected current i d and the polarity e P , and in this case it is assumed that one of the calculation amounts in Tables 1 and 2 is shifted in phase by 90°.
For example, in combination 2 of Table 2, when using the above-mentioned cross product operation, the polarity e P is set to υ ab , υ bc and υ ca with the calculation quantities a, b and c, respectively, and 90° The number of steps needed to advance the phase can be saved. Each of the above-mentioned embodiments uses the negative phase difference current of the parallel power transmission lines as the detection current, and can achieve significantly higher sensitivity than the conventional directional type described above. Although they do not have the same high sensitivity as the conventional variation type and compensation type, they have the disadvantage of a poor response when the mating terminal is disconnected. Or,
Or, it is necessary to detect and lock a disconnection of the other end. Each of the above-mentioned embodiments is free from such drawbacks and can achieve the sensitivity described above. This problem will be explained below using FIG. FIG. 8 shows only the protected power transmission line portion of FIG. 1, and the same parts are indicated by the same symbols. Further, F is the accident point. Assume that an accident occurs at the closest point F to bus line D, as shown in Figure a. In this case, the power transmission line 3L on the bus C side
The terminal currents of terminals 4L and 4L have the same amount of fault current, and neither the variation type nor the compensation type operates, and only the terminal of power transmission line 3L on the bus D side is disconnected. Incidentally, a circulating current i i due to induction flows until the shear breaks, and this appears as a differential current on the bus D side. When the terminal on the bus D side of the power transmission line 3L is disconnected, the state shown in FIG. b occurs. The current i in the power transmission line 3L on the bus C side is only for the fault current, and the terminal current of 4L is for the load current and the fault current flowing from the bus D toward C. The induced current is dissipated. The zero-sequence difference current used in the variation type includes only the fault current component and the induced component, and when moving from figure a to b, the induced component is lost and the fault current component is generated. At this time, the fault current changes to detect a fault in the power transmission line 3L. However, if the change in the induced component is in the direction of detecting a fault in the power transmission line 4L and is larger than the change in the fault current, the variation type will falsely detect a fault in the power transmission line 4L. In the compensation type, the zero-sequence difference current is compensated with a healthy phase difference current. In the state shown in FIG. b, this compensation is performed using the load current, so there is a risk that an accident in the power transmission line 4 will be detected by mistake. (Part 2)

【表】 本発明の一変形実施例は逆相電流の変化量を検
出電流として用いるもので、第3表に演算量を示
す。表で(ia2−ia2′)n,(ib2−ib2′)nおよび(ic
2

ic2′)nは各々各相基準の逆相差電流(ia2−ia2′),
(ib2−ib2′)および(ic2−ic2′)nの事故発生前の

を記憶した値である。これらの記憶値は被保護系
統に短絡および地絡事故が無い状態で記憶され、
絶えず更新されるサンプル値を用いて求められ
る。被保護系統で事故が検出されるとこのサンプ
ル値の更新は停止され記憶値として保持される。
1相地絡事故が検出されるとこの記憶されたサン
プル値と地絡事故発生後のサンプル値を用いて、
地絡事故相に応じた演算量により回線選択演算を
行なう。 第3表の演算量a,bおよびcの検出電流id
各々a,bまたc相1相地絡時に、事故発生後何
らかのしや断が行なわれるまでは、事故相基準の
逆相差電流の事故電流分と等しいい。前述のよう
にこの事故電流分は各々の極性量ePと送電線2の
事故では同位相、送電線3の事故では逆位相であ
り、(31)式および(32)式の演算で正しく事故
回線を識別する。 この実施例では被保護系統の外部事故では検出
電流idに全く変化が無いので著しく高感度になし
得る。動作値は記憶量その他の演算過程での誤差
で制限され、この誤差を従来の変化量系と同様に
誘導による逆相差電流と同様に10%とすれば、動
作値の下限は(33)および(34)式の値の10%す
なわち2A強となり、これに余裕を見て動作値を
2.8Aとなし得、従来の変化量形に対して著しく
高感度となし得る。 また、条件3を考慮するとすれば、条件3が発
生したときの逆相差電流の変化量は(35)式の値
の96.3Aに達し、前記の感度でこのときの動作を
避けるのは困難である。しかし、零相誘導電圧
υpoが(10)式の値より若干小さく、第5図ステツプ
2の1相地絡事故検出が行なわないような被保護
系統には適用できる。 第3表の演算量は第1表の場合と同様、変化量
を用いた検出電流を用いる多数の例の一例に過ぎ
ない。前記の第2表の検出電流idのia2−ia2′,ib2
−ib2′およびic2−ic2′を各々(ia2−ia2′)−(ia2

ia2′)n,(ib2−ib2′)−(ib2−ib2′)nおよび(i
c2
ic2′)−(ic2−ic2′)nと書き換えれば他は全く同様
にしたまま適用できる。 以上の各実施例はいずれも平行送電線の逆相差
電流の事故発生前の値に対する1相地絡時の値の
変化量を検出電流として使用するものであり、従
来の零相差電流を用いた変化量形に対して著しく
高感度になし得る。 (その3)
[Table] A modified embodiment of the present invention uses the amount of change in the negative phase current as the detection current, and Table 3 shows the amount of calculation. In the table, (i a2 −i a2 ′) n , (i b2 −i b2 ′) n and (i c
2

i c2 ′) n is the negative phase difference current (i a2 − i a2 ′) based on each phase,
(i b2 −i b2 ′) and (i c2 −i c2 ′) These are the values of n stored before the accident. These memorized values are stored under conditions where there are no short circuits or ground faults in the protected system, and
It is determined using constantly updated sample values. When an accident is detected in the protected system, updating of this sample value is stopped and retained as a stored value.
When a 1-phase ground fault is detected, using this stored sample value and the sample value after the ground fault occurred,
Line selection calculations are performed with the amount of calculations depending on the ground fault phase. The detected current i d of calculation quantities a, b, and c in Table 3 is the negative phase difference current based on the fault phase until some kind of interruption occurs after the occurrence of the fault when a one-phase ground fault occurs in phases a, b, or c, respectively. It should be equal to the fault current of As mentioned above, this fault current component is in phase with each polarity e P in the case of a fault in transmission line 2, and in opposite phase in a fault in transmission line 3, and the fault is correctly determined by calculating equations (31) and (32). Identify the line. In this embodiment, there is no change in the detected current i d in the event of an external fault in the protected system, so it is possible to achieve extremely high sensitivity. The operating value is limited by the amount of memory and other errors in the calculation process, and if this error is set to 10%, which is the same as the negative phase difference current due to induction as in the conventional variable amount system, the lower limit of the operating value is (33) and It is 10% of the value of formula (34), or a little over 2A, and the operating value is set with a margin.
2.8A, making it significantly more sensitive than conventional variable amount types. Furthermore, if condition 3 is considered, the amount of change in the negative phase difference current when condition 3 occurs reaches 96.3A, which is the value of equation (35), and it is difficult to avoid this operation with the sensitivity described above. be. However, it can be applied to a protected system in which the zero-phase induced voltage υ po is slightly smaller than the value of equation (10) and the one-phase ground fault detection in step 2 of FIG. 5 is not performed. Similar to the case of Table 1, the calculation amounts in Table 3 are only one example of many examples in which the detected current using the amount of change is used. i a2 −i a2 ′, i b2 of the detected current i d in Table 2 above
−i b2 ′ and i c2 −i c2 ′ respectively (i a2 −i a2 ′)−(i a2

i a2 ′) n , (i b2 −i b2 ′)−(i b2 −i b2 ′) n and (i
c2
If you rewrite it as i c2 ′) − (i c2 − i c2 ′) n , you can apply it while keeping everything else the same. In each of the above embodiments, the amount of change in value at the time of a one-phase ground fault with respect to the value before the occurrence of an accident in the negative phase difference current of the parallel power transmission line is used as the detection current, and it is different from the conventional zero-sequence difference current. It can be made extremely sensitive to variations. (Part 3)

【表】 本発明の更に異なる変形実施例は逆相差電流で
補償した電流を検出電流とするもので、第4表に
その演算量の一例を示す。表でK4,K5a,K5b
よびK5cは複素定数である。 いま、定数K4を次の値とし、以下この値で説
明する。 K4=0.38 8゜ (49) このとき、条件1、条件2および条件3の状態で
の誘導による第4表の演算量aの検出電流idの値
は(7),(9),(10),(33),(34)および(35)式の値
を代入することにより求められ、次の値となる。 〔条件1〕 ida=(21.2 13゜−0.38×56.4 16゜)
A=1.15A 87゜ …(50) 〔条件2〕 ida=(20.7 37゜−0.38×54.2 34゜)
A=1.08A 122゜ …(51) 〔条件3〕 ida=(96.3 95゜−0.38×285 91゜)
A=14.0A 118゜ …(52) 但しidaは演算量aの検出電流idである。 また、第4表の演算量bおよびcの検出電流id
は(36)式の関係から、次の関係がある。 idb=aida …(53) idc=a2ida …(54) 但し、idbおよびidcは各々演算量bおよびcの
検出電流idである。 (53)および(54)式のように検出電流idb
よびidcは各々idaに対して大きさが等しく、位相
が120゜または240゜進みである。 次に被保護送電線に1相地絡事故を生じたとき
の現象を説明する。1相地絡事故時の事故相基準
の事故分逆相および零相差電流と事故分事故相差
電流の間には(46)式の関係がある。この関係か
ら各検出電流の事故分については定数K4を(49)
式の値とすると、事故分事故相差電流if−if′との
間に次の関係式が成立する。 (i) a相地絡時の検出電流ida ida=(ia2−ia2′)−K4(ip−ip′) =0.63 5゜×1/3(if−if′) …(53) (ii) b相地絡時の検出電流idb idb=(ib2−ib2′)−aK4(ip−ip′) =1.19 17゜×1/3(if−if′) …(54) (iii) c相地絡時の検出電流idc idc=(ic2−ic2′)−a2K4(ip−ip′) =1.27 14゜×1/3(if−if′) …(55) 第4表で極性量ePの定数K5a,K5bおよびK5c
次の値とする。 K5a=1 5゜,K5b=1 17゜,K5c=1 14゜
…(56) a,bまたはc相1相地絡で、事故相事故分差
電流if−if′は電圧ea1,eb1またはec1に対して送電
線2の事故ではほぼ同位相、送電線3の事故では
ほぼ逆位相であるので、定数K5a,K5bおよびK5c
を(56)式の値とすると、(53)〜(55)式の関
係から、演算量a,bおよびcの検出電流idの事
故分は極性量ePに対して、a,bまたはc相1相
地絡で送電線2の事故ではほぼ同位相、送電線3
の事故ではほぼ逆位相となる。この関係から、第
4表の演算量を用いて事故分電流により事故回線
を検出し得る。 次に感度の関係を従来装置の補償形と比較す
る。誘導による差電流では条件1および2の補償
形の補償後電流の最大値は(17)および(18)式
より3.0Aとなる。これに対して本実施例の検出
電流idの最大値は(50)および(51)式より
1.15Aとなり、補償形の0.38倍である。一方事故
分電流は補償形の補償形電流が(46)式の関係か
ら(if−if′)/3となるのに対して、本実施例の
検出電流は地絡相によつて異なり、最小値はa相
地絡の(53)式で、補償形の0.63倍となる。以上
のように本実施の検出電流は従来の補償形に対し
て、誘導の影響は0.38倍であり事故分電流は最小
0.63倍であるので、事故分電流に対する誘導の影
響は0.38/0.63=0.6倍に改善される。この影響が小さ いと、外部事故での誤動作を避けるための動作値
が小さくでき、且つ内部事故で誘導分電流が事故
分電流と逆位相になつたとき事故分電流を打消し
て事故回線検出を妨げる作用が小さいので、高感
度の保護が可能となる。 また条件3を考慮する場合も誘導による検出電
流は(52)式のように14.0Aと、(19)式の補償
形の最大値37Aの0.38倍であり、条件3を考慮す
る場合も、条件1および2の場合と同様に高感度
化が図れる。 本実施例はまた第8図bの状態での不良応動の
恐れが小さい。この場合、送電線4Lの電流i′の
負荷電流分には零相分は無くまた逆相電流は殆ん
ど無い。このため第4表の検出電流idは殆んど事
故電流分のみであり、この状態でも事故回線を正
しく選択し得る。 第4表の演算量は第1表の場合と同様、逆相差
電流を零相差電流で補償した電流を検出電流とす
る多数の例の一例に過ぎない。前記の第2表の検
出電流idのia2−ia2′,ib2−ib2′およびic2−ic2′を
各々(ia2−ia2′)−K4(ip−ip′),(ib2−ib2′)
−aK4
(ip−ip′)および(ic2−ic2′)−a2K4(ip−ip′)
と書
き換え、且つ演算量a,bおよびcの極性量eP
各々定数K5a,K5bおよびK5cを乗じたものは、各
演算量a,bおよびcの各々で検出電流idと極性
量ePの関係が第4表のものと等しく、同様に適用
できる。 以上の各実施例は平行送電線の逆相差電流を零
相差電流で補償した電流を検出電流とするもの
で、従来の零相差電流を用いた補償形に対して高
感度の保護が可能であり、且つ第8図bのような
対向端子の事故しや断後も正確に事故回線を識別
し得る。 (その4) 本発明の更に異なる変形実施例は逆相差電流を
健全相のうちの1相の差電流で補償した電流を検
出電流とするもので、第5表にその演算量の一例
を示す。表でK6a,K6bおよびK6cは複素定数であ
る。
[Table] In a further modified embodiment of the present invention, a current compensated by a negative phase difference current is used as a detection current, and Table 4 shows an example of the calculation amount. In the table, K 4 , K 5a , K 5b and K 5c are complex constants. Now, the constant K 4 is set to the following value, and this value will be used in the following explanation. K 4 =0.38 8゜ (49) At this time, the values of the detected current i d of the calculation amount a in Table 4 due to induction under conditions 1, 2, and 3 are (7), (9), ( 10), (33), (34), and (35), resulting in the following value. [Condition 1] i da = (21.2 13°−0.38×56.4 16°)
A=1.15A 87゜...(50) [Condition 2] i da = (20.7 37゜−0.38×54.2 34゜)
A=1.08A 122゜...(51) [Condition 3] i da = (96.3 95゜−0.38×285 91゜)
A=14.0A 118° (52) where i da is the detected current i d of the calculation amount a. In addition, the detected current i d for the calculation amounts b and c in Table 4
From the relationship in equation (36), there is the following relationship. i db = ai da (53) i dc = a 2 i da (54) where i db and i dc are the detection currents i d of the calculation quantities b and c, respectively. As shown in equations (53) and (54), the detection currents i db and i dc are each equal in magnitude to i da and lead in phase by 120° or 240°. Next, the phenomenon that occurs when a one-phase ground fault occurs on a protected power transmission line will be explained. At the time of a one-phase ground fault, there is a relationship expressed by equation (46) between the fault phase difference current and the fault phase difference current based on the fault phase and the fault fault phase difference current. From this relationship, the constant K 4 is set as (49) for the fault portion of each detected current.
Assuming the value of the equation, the following relational expression holds true between the fault phase difference current i f −i f ′. (i) Detected current i da i da = (i a2 −i a2 ′)−K 4 (i p −i p ′) =0.63 5°×1/3(i f −i f ′) at the time of a-phase ground fault ) …(53) (ii) Detection current i db at b-phase ground fault i db = (i b2 −i b2 ′) − aK 4 (i p −i p ′) = 1.19 17°×1/3(i f −i f ′) …(54) (iii) Detection current i dc at c-phase ground fault i dc = (i c2 −i c2 ′) − a 2 K 4 (i p −i p ′) = 1.27 14゜×1/3 (i f −i f ′) ...(55) In Table 4, the constants K 5a , K 5b and K 5c of the polarity e P are given the following values. K 5a = 1 5°, K 5b = 1 17°, K 5c = 1 14°
…(56) In a one-phase ground fault in a, b or c phase, the fault phase difference current i f −i f ′ is almost in phase with the voltage e a1 , e b1 or e c1 in the case of a fault in transmission line 2. , in the fault on transmission line 3, the phases are almost opposite, so the constants K 5a , K 5b and K 5c
If is the value of equation (56), then from the relationship of equations (53) to (55), the fault portion of the detected current i d of the calculation quantities a, b and c will be a, b or In the case of an accident on transmission line 2 due to a phase c phase 1 ground fault, almost the same phase occurs on transmission line 3.
In the case of an accident, the phase is almost opposite. From this relationship, it is possible to detect a faulty line based on the faulty current using the calculation amount shown in Table 4. Next, the sensitivity relationship will be compared with that of the conventional compensation type device. Regarding the differential current due to induction, the maximum value of the compensated current of the compensation type under conditions 1 and 2 is 3.0A from equations (17) and (18). On the other hand, the maximum value of the detected current i d in this example is calculated from equations (50) and (51).
The current is 1.15A, which is 0.38 times that of the compensated type. On the other hand, the fault current is (if − i f )/3 for the compensated type due to the relationship of equation (46), whereas the detected current in this example differs depending on the ground fault phase. , the minimum value is Equation (53) for the a-phase ground fault, which is 0.63 times that of the compensated type. As mentioned above, the detection current of this implementation has 0.38 times the influence of induction compared to the conventional compensation type, and the fault current is minimal.
Since it is 0.63 times, the influence of induction on fault current is improved to 0.38/0.63=0.6 times. If this effect is small, the operating value to avoid malfunction due to an external fault can be made small, and when the induced current is in the opposite phase to the fault current due to an internal fault, the fault current can be canceled and the fault line can be detected. Since the interfering effect is small, highly sensitive protection is possible. Also, when considering condition 3, the detected current due to induction is 14.0A as shown in equation (52), which is 0.38 times the maximum value of 37A for the compensated type in equation (19). As in cases 1 and 2, high sensitivity can be achieved. In this embodiment, there is also less possibility of a defective response in the state shown in FIG. 8b. In this case, there is no zero-sequence component in the load current component of the current i' of the power transmission line 4L, and there is almost no negative-sequence current. Therefore, the detected current i d in Table 4 is almost only the fault current, and the fault line can be correctly selected even in this state. As in the case of Table 1, the calculation amount in Table 4 is only one example of many examples in which the detected current is a current obtained by compensating the negative phase difference current with the zero sequence difference current. i a2 −i a2 ′, i b2 −i b2 ′ and i c2 −i c2 ′ of the detection current i d in Table 2 above are respectively (i a2 −i a2 ′)−K 4 (i p −i p ′), (i b2 −i b2 ′)
−aK 4
(i p −i p ′) and (i c2 −i c2 ′)−a 2 K 4 (i p −i p ′)
, and multiplying the polarity e P of the calculation quantities a, b, and c by the constants K 5a , K 5b , and K 5c , respectively, is the detected current i d and the polarity of each calculation quantity a, b, and c. The relationship for the quantity e P is the same as that in Table 4 and can be applied in the same way. In each of the above embodiments, the detection current is a current obtained by compensating the negative phase difference current of the parallel power transmission line with the zero-sequence difference current, and it is possible to provide highly sensitive protection compared to the conventional compensation type using the zero-sequence difference current. , and even after the opposite terminal is accidentally disconnected as shown in FIG. 8b, the faulty line can be accurately identified. (Part 4) In a further modified embodiment of the present invention, the current obtained by compensating the negative phase difference current with the difference current of one of the healthy phases is used as the detection current, and Table 5 shows an example of the calculation amount. . In the table, K 6a , K 6b and K 6c are complex constants.

【表】 定数K6a,K6bおよびK6cを次の値とし、以下この
値で説明する。 K6a=0.48 5゜,K6b=0.82 116゜,K6c=0.22 130゜
…(57) このとき、条件1,2および3の状態での誘導
による各演算量の検出電流idの値は(7),(9),(10),
(33)および(35)式の値を第5表の式に代入す
ることにより求められ各々次の値となる。 〔条件1〕 ida=1.5A 81゜ idb=2.3A 153゜ idc=0.7A 10゜ …(58) 〔条件2〕 ida=1.8A 122゜ idb=2.2A 15゜ idc=0.7A 104゜ …(59) 〔条件3〕 ida=20.8A 127゜ idb=30A 235゜ idc=9.3A 0゜ …(60) 被保護送電線に1相地絡を生じたときは、健全
相には事故分の差電流を生じないので、第5表の
演算量idの事故分差電流は逆相電流分のみで、第
1表の演算量を用いた実施例と同様に、事故分電
流により正しく事故回線を選択する。また、この
事故分差電流は(46)式より従来の補償形の検出
電流である事故分零相差電流と等しい。本実施例
の誘導による差電流は条件1および2では(58)
および(59)式より最大2.3Aであり補償形の
3.0A(17)(18)式の0.77倍であり、この分だけ高
感度の保護が可能となる。また、条件3を考慮す
る場合も、誘導による差電流は(60)式より最大
30Aで補償形の37A((19)式)より小さく高感度
化が図れる。 第5表の演算量は、逆相差電流の健全相のうち
の1相の差電流で補償した電流を検出電流とする
ものの一実施例に過ぎない。第2表の組合せ1〜
3の極性量ePを第5表の極性量ePのかわりに用い
ても全く同様に応動する。また、各検出電流につ
いて健全相のどの相の電流で補償するかも任意で
あり、例えば次式とすることもできる。 ida=(ia2−ia2′)−K7a(ic−ic′) idb=(ib2−ib2′)−K7b(ia−ia′) idc=(ic2−ic2′)−K7c(ib−ib′) …(61) 但し、K7a,K7bおよびK7cは複素定数である。 (その5)
[Table] The constants K 6a , K 6b and K 6c are as follows, and will be explained below using these values. K 6a = 0.48 5°, K 6b = 0.82 116°, K 6c = 0.22 130°
...(57) At this time, the values of the detected current i d of each calculation amount due to induction under conditions 1, 2, and 3 are (7), (9), (10),
By substituting the values of equations (33) and (35) into the equations in Table 5, the following values are obtained. [Condition 1] i da = 1.5A 81゜i db = 2.3A 153゜i dc = 0.7A 10゜ ...(58) [Condition 2] i da = 1.8A 122゜i db = 2.2A 15゜i dc = 0.7A 104゜ …(59) [Condition 3] i da = 20.8A 127゜i db = 30A 235゜i dc = 9.3A 0゜ …(60) When a one-phase ground fault occurs on the protected transmission line , since the difference current corresponding to the fault does not occur in the healthy phase, the difference current corresponding to the fault with the calculation amount i d in Table 5 is only for the negative sequence current, which is the same as the example using the calculation amount in Table 1. , select the fault line correctly based on the fault current. Furthermore, from equation (46), this fault difference current is equal to the fault zero-sequence difference current, which is the detection current of the conventional compensation type. The difference current due to induction in this example is (58) under conditions 1 and 2.
From equation (59), the maximum is 2.3A, which is the compensated type.
This is 0.77 times the 3.0A (17) (18) formula, which allows for highly sensitive protection. Also, when considering condition 3, the difference current due to induction is the maximum from equation (60).
At 30A, it is smaller than the compensated type 37A (formula (19)) and can achieve higher sensitivity. The calculation amount in Table 5 is only an example of a case where the detected current is a current compensated by the difference current of one of the healthy phases of the negative phase difference current. Combinations 1~ in Table 2
Even if the polarity quantity e P of 3 is used in place of the polarity quantity e P of Table 5, the response will be exactly the same. Furthermore, it is also possible to use any phase current of the healthy phase to compensate for each detected current, and for example, the following equation can be used. i da = (i a2 −i a2 ′)−K 7a (i c −i c ′) i db = (i b2 −i b2 ′)−K 7b (i a −i a ′) i dc = (i c2 −i c2 ′) −K 7c (i b −i b ′) …(61) However, K 7a , K 7b and K 7c are complex constants. (Part 5)

【表】 本発明の更に異なる変形実施例の演算量を第6
表に示す。表でK8a,K8bおよびK8cは複素定数で
あり、この定数を次の値として説明する。 K8a=0.48 5゜,K8b=0.17 110゜,K8c=0.48 125゜
…(61) このとき、条件1,2および3の状態での誘導
による各演算量idの値は下記となる。 〔条件1〕 ida=1.5A 81゜ idb=1.1A 161゜ idc=1.5A 39゜ …(62) 〔条件2〕 ida=1.8A 122゜ idb=0.75A 16 idc=1.8A 118゜ …(63) 〔条件3〕 ida=20.8A 127゜ idb=9.9A 145゜ idc=20.8A 7 …(64) 誘導による最大検出電流は条件1および2で
1.8A、条件3で20.8Aと第5表の実施例よりは更
に改善されている。また第5表と同様に健全相差
電流により補償であり、事故分電流は第5表の実
施例と同様であるので、本実施例は第5表の実施
例より更に高感度に保護し得る。 第6表の演算量は逆相差電流をa相またはc相
事故ではb相差電流で、b相事故ではaおよびc
相差電流の和で補償した電流を検出電流とするも
のの一実施例に過ぎず、他の実施例と同様、極性
量を種々変形して実施し得るものである。 (その6)
[Table] The amount of computation of further modified embodiments of the present invention is shown in the sixth table.
Shown in the table. In the table, K 8a , K 8b and K 8c are complex constants, and these constants will be explained as the following values. K 8a = 0.48 5°, K 8b = 0.17 110°, K 8c = 0.48 125°
...(61) At this time, the values of each calculation amount i d by induction under conditions 1, 2, and 3 are as follows. [Condition 1] i da = 1.5A 81゜i db = 1.1A 161゜i dc = 1.5A 39゜ ...(62) [Condition 2] i da = 1.8A 122゜i db = 0.75A 16 i dc = 1.8 A 118゜ ...(63) [Condition 3] i da = 20.8A 127゜i db = 9.9A 145゜i dc = 20.8A 7 ...(64) The maximum detected current due to induction is under conditions 1 and 2.
1.8A and 20.8A under condition 3, which is further improved than the example shown in Table 5. Further, as in Table 5, compensation is performed using a healthy phase difference current, and the fault current is the same as in the embodiments in Table 5, so this embodiment can protect with higher sensitivity than the embodiments in Table 5. The amount of calculation in Table 6 is to convert the negative phase difference current into the b phase difference current in the case of an a-phase or c-phase fault, and the a and c phase difference current in the case of a b-phase fault.
This is only one embodiment in which the current compensated by the sum of the phase difference currents is used as the detection current, and like the other embodiments, the amount of polarity can be modified in various ways. (Part 6)

【表】 本発明の更に異なる実施例の演算量を第7表
に、表の各式を下記に示す。 ida=(ia2−ia2′)−K9a〔(ib−ib′) −a(ic−ic′)〕 …(65) idb=(ib2−ib2′)−K9b〔(ic−ic′) −a(ia−ia′)〕 …(66) idc=(ic2−ic2′)−K9c〔(ia−ia′) −a(ib−ib′)〕 …(67) 但し、K9a,K9bおよびK9cは複素定数である。 各定数を K9a=0.34 17゜,K9b=0.19 157゜,K9c=0.17
111゜ …(68) とすると、条件1,2および3の状態での誘導に
よる各演算量idの値は下記となる。 〔条件1〕 ida=2.0A 65゜ idb=1.4A 175 idc=0.9A 98゜ …(69) 〔条件2〕 ida=1.8A 38゜ idb=1.5A 89゜ idc=1.1A 129゜ …(70) 〔条件3〕 ida=18.2A 128゜ idb=12.2A 135゜ idc=10.2A 3゜ …(71) 誘導による最大検出電流は条件1および2で
2.0A、条件3で18.4Aであり、第6表の実施例と
ほぼ同程度である。また健全相差電流による補償
であり事故分電流では補償されないので、第6表
の実施例とほぼ同程度の高感度で保護し得る。 第7表の検出電流もまた、他の実施例の場合と
同様に種々の極性量と組み合わせて用いることが
できる。 以上の第5表〜第7表の実施例はいずれも平行
送電線の逆相差電流を健全相差電流で補償した電
流を検出電流とするもので、従来の零相差電流を
健全相差電流で補償した補償形に対して高感度の
保護が可能である。 (その7) 第9図は本発明の更に異なる一実施例を示すも
ので第5図と同一部分は同一記号で示す。第5図
の実施例と同様にしてステツプS4で演算量が与
えられた後、更にステツプS6で抑性量erが与えら
れる。演算量a,bまたはcが与えられると各々
抑性量a,bまたはcが与えられる。ステツプ
S6の後にステツプS7で抑制量のサンプル値を算
出する。この後、第5図の実施例と同様にステツ
プS5で演算量のサンプル値を算出し送電線2お
よび3の事故検出演算を行なう。 本実施例のステツプS5−2およびS5−3の
各々で行なわれる演算の一例を(72)および
(73)式に示し、各式が成立するとき判定5Y1お
よび5Y2が得られる。 eP・id>|ep| (K3|er|とK10の最大値) …(72) eP・id<−|ep| (K3|er|とK10の最大値) …(73) 但し、erは抑制量、K10は正の定数 (72)および(73)式は各々検出電流idの極性
量ePに対する有効分またはその符号を変えたもの
が、K3|er|とK10の最大値より大きいとき動作
する(判定5Y1または5Y2が得られる)ことを意
味する。第10図はこの場合の動作特性を示す図
で、抑制量の大きさ|er|が小さいときはidの有
効分が一定値K10より大きいとき動作するが、|er
|が大きいときはidの有効分の絶対値が大きくな
いと動作しない。 抑性量erとしては各種差電流または差電流の合
成値が用いられ、第8表にその例を示す。表の各
種の用制量はすべて常時の誘導状態では、大きさ
が誘導による検出電流idの大きさとほぼ比例する
関係にあるものであり、条件3のように誘導によ
り検出電流idの大きさが大きいときは抑性量er
大きく、定数K10の値が小さくても定数K3を小さ
くしても誤動作することは無い。
[Table] Table 7 shows the amount of calculations for further different embodiments of the present invention, and each formula in the table is shown below. i da = (i a2 −i a2 ′)−K 9a [(i b −i b ′) −a(i c −i c ′)] …(65) i db = (i b2 −i b2 ′)− K 9b [(i c −i c ′) −a(i a −i a ′)] …(66) i dc =(i c2 −i c2 ′)−K 9c [(i a −i a ′) − a( ib −i b ′)] …(67) However, K 9a , K 9b and K 9c are complex constants. Let each constant be K 9a = 0.34 17°, K 9b = 0.19 157°, K 9c = 0.17
111°...(68) Then, the values of each calculation amount i d due to induction under conditions 1, 2, and 3 are as follows. [Condition 1] i da = 2.0A 65゜i db = 1.4A 175 i dc = 0.9A 98゜ …(69) [Condition 2] i da = 1.8A 38゜i db = 1.5A 89゜i dc = 1.1 A 129゜ …(70) [Condition 3] i da = 18.2A 128゜i db = 12.2A 135゜i dc = 10.2A 3゜ …(71) The maximum detected current due to induction is under conditions 1 and 2.
2.0A, and 18.4A under condition 3, which is approximately the same level as the example shown in Table 6. Further, since the compensation is based on the healthy phase difference current and not the fault current, protection can be achieved with almost the same high sensitivity as the embodiments shown in Table 6. The detection currents in Table 7 can also be used in combination with various amounts of polarity as in other embodiments. In all of the examples shown in Tables 5 to 7 above, the detection current is a current obtained by compensating the negative phase difference current of the parallel transmission line with a healthy phase difference current, and the conventional zero-sequence current is compensated with a healthy phase difference current. Highly sensitive protection is possible for compensated types. (Part 7) FIG. 9 shows a further different embodiment of the present invention, and the same parts as in FIG. 5 are indicated by the same symbols. After the calculation amount is given in step S4 in the same way as in the embodiment of FIG. 5, the suppression amount er is given in step S6. When the calculation amount a, b or c is given, the suppression amount a, b or c is given respectively. step
After S6, a sample value of the suppression amount is calculated in step S7. Thereafter, as in the embodiment shown in FIG. 5, sample values of calculation amounts are calculated in step S5, and fault detection calculations for power transmission lines 2 and 3 are performed. Examples of calculations performed in steps S5-2 and S5-3 of this embodiment are shown in equations (72) and (73), and when each equation holds true, judgments 5Y1 and 5Y2 are obtained. e P・i d >|e p | (K 3 | e r | and the maximum value of K 10 ) …(72) e P・i d <−|e p | (K 3 | e r | and K 10 (maximum value) ...(73) where e r is the amount of suppression, K 10 is a positive constant Equations (72) and (73) are the effective portion of the detected current i d with respect to the polarity e P , respectively, or their signs are changed. is larger than the maximum value of K 3 | er | and K 10 (determination 5Y1 or 5Y2 is obtained). FIG . 10 is a diagram showing the operating characteristics in this case. When the magnitude of the suppression amount | e r
When | is large, it will not work unless the absolute value of the effective part of i d is large. As the suppression amount e r , various differential currents or a composite value of differential currents are used, examples of which are shown in Table 8. The various quantities listed in the table are all in a constant induction state, and their magnitudes are approximately proportional to the magnitude of the detected current i d due to induction, and as shown in Condition 3, the magnitude of the detected current i d due to induction is When the value is large, the suppression amount e r is large, and no malfunction will occur even if the constant K 10 is small or the constant K 3 is small.

【表】 また、条件1および2のように誘導による検出
電流idの大きさが小さいときは抑性量erの大きさ
も小さく、この状態で被保護送電線に1相地絡事
故を生じたとき次の条件が充たされれば高感度に
保護し得る利点がある。 この条件を説明する。 誘導分の検出電流の大きさ|id|/抑制量の大きさ|
er|=Ri…(74) 被保護送電線1相地絡時の事故分の 検出電流の大きさ|id|/抑制量の大きさ|er|=
Rf…(75) としたときRiがRfに対して充分小さければ高感度
に保護し得る。すなわち、定数K3を比Riより条
件1〜3を通じて若干大きな値としておけば
(72)および(73)式が成立することは無く、誤
動作の恐れは無い。一方、被保護送電線事故では
検出電流の大きさ|id|は抑制量の大きさ|ir
のRf倍で、抑制力(=K3|er|)に対して充分
大きな値となる。また、検出電流idは極性量eP
ほぼ同位相であるので、前記の条件で高感度に動
作し得る。 例えばRi<0.38Rfのときには、K3=0.4Rfとす
れば、(72)および(73)式が成立することはな
く誤動作の恐れがない。また被保護送電線事故の
事故分では、抑制力(=K3|er|)が0.4Rf|er
|であるのに対して、検出電流の大きさ|id|は
Rf|er|となるので充分動作し得る。 第8表の例が、これらの条件を充たすことを説
明する。まず第9表に第1,2および4〜7表の
演算量について検出電流の大きさ|id|の逆相差
電流の大きさ|ia2−ia2′|=|ib2|−ib2′|=|
ic2−ic2′|に対する比を、誘導分(条件1〜3の
最大値)および事故分について示す。
[Table] In addition, when the magnitude of the detected current i d due to induction is small as in conditions 1 and 2, the magnitude of the suppression amount e r is also small, and in this state, a one-phase ground fault can occur on the protected transmission line. When the following conditions are met, there is an advantage that protection can be achieved with high sensitivity. This condition will be explained. Size of detected current of induced component | i d | / Size of suppression amount |
e r |=R i …(74) Magnitude of detected current for fault caused by one-phase ground fault on protected transmission line|i d |/Size of suppression amount|e r |=
When R f ...(75), if R i is sufficiently smaller than R f, protection can be achieved with high sensitivity. That is, if the constant K 3 is set to a value slightly larger than the ratio R i under conditions 1 to 3, equations (72) and (73) will not hold, and there is no risk of malfunction. On the other hand, in the case of a protected transmission line fault, the magnitude of the detected current |i d | is the magnitude of the suppression amount |i r |
is multiplied by R f , which is a sufficiently large value for the suppressing force (=K 3 | e r |). Furthermore, since the detection current i d is substantially in phase with the polarity amount e P , it is possible to operate with high sensitivity under the above conditions. For example, when R i <0.38R f , if K 3 =0.4R f , equations (72) and (73) will not hold and there is no risk of malfunction. In addition, for the protected transmission line accident, the suppressing force (=K 3 | e r |) is 0.4R f | e r
|, whereas the magnitude of the detected current |i d | is
Since R f |e r |, it can work satisfactorily. The example in Table 8 illustrates meeting these conditions. First, Table 9 shows the magnitude of the detected current | i d | and the magnitude of the negative phase difference current | i a2 −i a2 ′| = | i b2 | −i b2 ′|=|
The ratio to i c2 −i c2 '| is shown for the induced component (maximum value of conditions 1 to 3) and accident component.

【表】 次に第10表に抑制量の大きさ|er|の逆相電流
の大きさ|ia2−ia2′|=|ib2|−ib2′|=|ic2
ic2′|に対する比を誘導分(条件1〜3の最小
値)および事故分について示す。但し、era,erb
およびercは各々抑制量a,bおよびcを示す。
[Table] Next, Table 10 shows the magnitude of the suppression amount |e r | and the magnitude of the negative sequence current |i a2 −i a2 ′|= |i b2 |−i b2 ′|= |i c2
The ratio to i c2 '| is shown for the induced component (minimum value of conditions 1 to 3) and the accident component. However, e ra , e rb
and e rc indicate the suppression amounts a, b, and c, respectively.

【表】 演算量と抑制量の或る組み合わせを考えた場
合、第9表の誘導分の値の第10表の誘導分の値に
対する比が(74)式の比Riとなり、事故分に対す
る同様の比が(75)式の比Rfとなる。例えば演
算量を第4表、抑制量を例3としたとき、a相に
ついては比Riが0.073=0.145/2、比Rfが0.46=
0.63/1.38となりRfがRiより充分大きいので条件
に適する。 演算量を第1表または第2表としたときの各抑
制量に対する比RiおよびRfを第11表に示す。この
場合、第9表および第10表で各相の値が殆んど等
しいので、RiおよびRfの値も各相で殆んど等し
く、表には近似値を示す。
[Table] When considering a certain combination of calculation amount and suppression amount, the ratio of the induced value in Table 9 to the induced value in Table 10 is the ratio R i of equation (74), which is A similar ratio becomes the ratio R f in equation (75). For example, when the calculation amount is shown in Table 4 and the suppression amount is Example 3, for the a phase, the ratio R i is 0.073 = 0.145/2, and the ratio R f is 0.46 =
0.63/1.38, which is suitable for the conditions because R f is sufficiently larger than R i . Table 11 shows the ratios R i and R f for each suppression amount when the calculation amount is shown in Table 1 or Table 2. In this case, since the values for each phase are almost equal in Tables 9 and 10, the values of R i and R f are also almost equal for each phase, and the tables show approximate values.

【表】 抑制量の例1はRiがRfが等しく使用できない。
例3はRiがRfより小さいがその差はそれほど大き
くなく、使用不能と考えて良い。例6はRiはRf
1/2であり、使用不可能では無いが、それほど適
したものではない。例1はRiがRfの0.38倍で使用
可能と見て良い。例5,8および9はRfが無限
大であり最も適したものである。 抑制量の例2は第10表の値が誘導分と事故分で
等しいため、最も使用しにくいものである。しか
し、第4表〜第7表の演算量のものに対しては充
分使用し得る。この場合、第9表の誘導分および
事故分の値が、そのままの比RiおよびRfとなり、
比RiがRfに対して充分小さい。例2以外の抑制量
は第10表の事故分の値が誘導分より小さいので、
比RiのRfに対する比が例2の場合より小さくな
り、第4表〜第7表の演算量と組み合わせて充分
使用し得る。 以上、述べたように第9図の実施例は第8表の
例のような平行送電線の同一相または同一対称分
の差電流または合成電流を抑制量として用いるこ
とにより、誘導による差電流が著しく大きい場合
でも誤動作すること無く、抑制量にこれらを用い
ない場合に対して被保護送電線事故を高感度に保
護することができる利点を有するものである。 (その8) 第9図のステツプS5−2およびS5−3の各々
で行なわれる抑制量を用いた演算は(72)および
(73)式に限定されるものでは無く、以下にその
例を示す。 eP・id>|eP|(K3|er|+K10) …(76) −eP・id<|−eP|(K3|er|+K10) …(77) (76)式がステツプS5−2、(77)式がステツ
プS5−3で行なわれる。この場合の動作特性は
第11図となる。 また、次の(78)式と前記の(31)式の演算を
ステツプS5−2で、また(78)式と(32)式の
演算をステツプS5−3で行ない、各々両式が成
立したとき判定5Y1および5Y2を得るようにする
こともできる。 |id|>K3|er|とK10の最大値 (またはK3|er|+K10) …(78) いずれの場合も検出電流の大きさ|id|がK3
er|より小さいときは動作せず、且つ抑制力K3
|er|が小さいときは高感度の保護が可能とな
る。 (その9) 第4表〜第7表の演算量の検出電流idの補償定
数K4,K5a,K5b,K5c,K6a,K6b,K6c,K8a
K8b,K8c,K9a,K9b,およびK9cはいずれも差電
流の計算値より求めた一定値とすることで説明し
た。この方法の場合、各定数は各種の運転状態で
若干変動する値の平均値とすることにより、誘導
による検出電流の値を小さくすることができる
が、併架送電線の電線配置に応じた計算をする必
要がある。このような計算を省略したい場合、こ
れらの定数は常時の誘導による差電流を用いた演
算により定めることができる。 すなわち、第4表の演算量の場合、被保護系統
に短絡および地絡事故の無く、且つ差電流ia2
ia2′またはip−ip′の少くとも一方が一定値以上で
ある状態で定数K4は次のように演算される。 K4=ia2−ia2′/ip−ip′の常時運転中の値 …(76) 例えば条件1の運転状態の場合は、K4の値は
(7)および(33)式の値より K4=21.2A 13゜/56.4A 352゜=0.376 5゜ …(77) と演算され、この定数で検出電流idが演算され
る。 この演算値は、差電流の値が小さくなつた場合
および被保護系統に短絡または地絡事故を生じた
場合、保持され検出電流idの演算に用いられる。
(77)式の前記の演算値は、先に固定定数として
与えた(49)式の値K4=0.38 8゜との差は僅かで
あり、被保護系統1相地絡時に誘導による差電流
の影響を軽減し得る効果は、固定定数の場合とほ
ぼ同様である。 以上の例と同様の他の補償定数K5a〜K9cも被
保護系統に事故が無く且つ検出電流idに用いられ
る差電流のうちの少くとも1つが所定値以上であ
ることを条件に、運転中の差電流の値から補償定
数の値を演算し、上記条件が満たされないときこ
の演算値を保持するようにして、この演算値を補
償定数の値として検出電流idを演算しても、固定
定数とした場合とほぼ同様の効果を示すものであ
る。 (g) 綜合的な効果 以上述べたように本発明によれば誘導による循
環電流の影響を軽減した地絡回線選択継電器を提
供することができる。
[Table] Example 1 of the amount of suppression is that R i and R f cannot be used equally.
In Example 3, R i is smaller than R f , but the difference is not so large that it can be considered unusable. In Example 6, R i is 1/2 of R f , and although it is not impossible to use, it is not very suitable. In Example 1, it can be seen that R i can be used at 0.38 times R f . Examples 5, 8 and 9 have R f of infinity and are the most suitable. Example 2 of the suppression amount is the most difficult to use because the values in Table 10 are equal for the induced portion and the accident portion. However, it can be used satisfactorily for the calculation amounts shown in Tables 4 to 7. In this case, the values of the induction component and accident component in Table 9 become the ratios R i and R f as they are,
The ratio R i is sufficiently small compared to R f . For suppression amounts other than Example 2, the values for accidents in Table 10 are smaller than the induced values, so
The ratio of R i to R f is smaller than in Example 2, and can be used satisfactorily in combination with the calculation amounts shown in Tables 4 to 7. As mentioned above, the embodiment shown in FIG. 9 uses the difference current or composite current of the same phase or the same symmetry of parallel transmission lines as the suppression amount, as shown in the example shown in Table 8, to reduce the difference current due to induction. This has the advantage of being able to protect protected power transmission line accidents with high sensitivity, without malfunctioning even when the amount is extremely large, compared to the case where these are not used for the suppression amount. (Part 8) The calculation using the suppression amount performed in each of steps S5-2 and S5-3 in Fig. 9 is not limited to equations (72) and (73), and examples thereof are shown below. . e P・i d >|e P |(K 3er |+K 10 ) …(76) −e P・i d <|−e P |(K 3er |+K 10 ) …(77) Equation (76) is performed at step S5-2, and equation (77) is performed at step S5-3. The operating characteristics in this case are shown in FIG. In addition, the following equation (78) and the above equation (31) are calculated in step S5-2, and the equations (78) and (32) are calculated in step S5-3, and both equations are satisfied. It is also possible to obtain the time determinations 5Y1 and 5Y2. |i d | > K 3 | e r | and the maximum value of K 10 (or K 3 | e r | + K 10 )...(78) In either case, the magnitude of the detected current | i d | is K 3 |
If it is smaller than e r |, it will not operate and the restraining force K 3
When |e r | is small, highly sensitive protection is possible. (Part 9) Compensation constants for the detection current i d for the calculation amount in Tables 4 to 7 K 4 , K 5a , K 5b , K 5c , K 6a , K 6b , K 6c , K 8a ,
The explanation was given by assuming that K 8b , K 8c , K 9a , K 9b , and K 9c are all constant values obtained from the calculated values of the difference currents. In this method, the value of the detected current due to induction can be reduced by setting each constant as the average value of values that slightly fluctuate under various operating conditions, but the calculation depends on the wire arrangement of parallel transmission lines. It is necessary to If it is desired to omit such calculations, these constants can be determined by calculations using differential currents due to constant induction. In other words, in the case of the calculation amount in Table 4, there is no short circuit or ground fault in the protected system, and the difference current i a2
The constant K 4 is calculated as follows when at least one of i a2 ′ or i p −i p ′ is greater than a certain value. K 4 = i a2 −i a2 ′/i p −i p ′ during constant operation…(76) For example, in the case of condition 1, the value of K 4 is
From the values of equations (7) and (33), K 4 =21.2A 13°/56.4A 352°=0.376 5° (77) is calculated, and the detected current i d is calculated using this constant. This calculated value is held and used to calculate the detected current i d when the value of the differential current becomes small or when a short circuit or ground fault occurs in the protected system.
The calculated value of equation (77) has a small difference from the value K 4 = 0.38 8° of equation (49) given earlier as a fixed constant, and the difference current due to induction during a single-phase ground fault in the protected system The effect of reducing the influence of is almost the same as in the case of a fixed constant. Other compensation constants K 5a to K 9c similar to the above example are also provided on the condition that there is no accident in the protected system and at least one of the difference currents used for the detection current i d is equal to or higher than the predetermined value. Even if the value of the compensation constant is calculated from the value of the difference current during operation, this calculated value is held when the above conditions are not met, and the detected current i d is calculated using this calculated value as the value of the compensation constant. , which shows almost the same effect as when using a fixed constant. (g) Overall effect As described above, according to the present invention, it is possible to provide a ground fault line selection relay that reduces the influence of circulating current due to induction.

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

第1図は多回線併架送電線の例を説明する系統
図、第2図は併架区間の電線配置の例を示す図、
第3図は起誘導送電線1相地絡時に於ける被保護
送電線の零相電圧および零相差電流の例を示すベ
クトル図、第4図は本発明の一実施例の構成を示
す回路図、第5図は本発明の一実施例のフローを
示すフロー図、第6図は事故分差電流を示すベク
トル図、第7図はa相1相地絡時の電圧を示すベ
クトル図、第8図は相手しや断時の応動を説明す
るための系統図、第9図は本発明の他の実施例を
示すフロー図、第10図および第11図は第9図
の実施例の特性を示す特性図である。 4および5はしや断器、9は入力変換器、10
はサンプルホールド回路、11はマルチプレク
サ、12はAD変換器、13は演算器。
Figure 1 is a system diagram illustrating an example of a multi-circuit parallel transmission line, Figure 2 is a diagram showing an example of wire arrangement in a parallel section,
FIG. 3 is a vector diagram showing an example of the zero-sequence voltage and zero-sequence difference current of the protected power transmission line when a one-phase ground fault occurs in the induced power transmission line, and FIG. 4 is a circuit diagram showing the configuration of an embodiment of the present invention. , FIG. 5 is a flowchart showing the flow of one embodiment of the present invention, FIG. 6 is a vector diagram showing the fault differential current, FIG. 7 is a vector diagram showing the voltage at the time of a phase 1 ground fault, and FIG. Fig. 8 is a system diagram for explaining the response when the other party is disconnected, Fig. 9 is a flow chart showing another embodiment of the present invention, and Figs. 10 and 11 are characteristics of the embodiment of Fig. 9. FIG. 4 and 5 are disconnectors, 9 is an input converter, 10
1 is a sample hold circuit, 11 is a multiplexer, 12 is an AD converter, and 13 is an arithmetic unit.

Claims (1)

【特許請求の範囲】 1 送電線の零相電圧および相間電圧の変化に応
じ地絡相選別の演算を行い1相地絡事故相を識別
する地絡相識別手段と、 この地絡相識別手段の識別結果に従つて予め設
定される正相電圧、零相電圧で合成される極性量
および平行送電線の逆相差電流で合成される検出
電流を演算量として選択する演算量選択手段と、 この演算量選択手段の選択した演算量のサンプ
ル値を算出し、前記極性量および検出電流の値か
ら地絡事故回線を選択する回線選択手段とを具備
することを特徴とする地絡回線選択継電器。 2 検出電流を平行送電線の逆相差電流の事故発
生前の値の記憶値に対する事故時の値の変化量と
することを特徴とする特許請求の範囲第1項記載
の地絡回線選択継電器。 3 検出電流を平行送電線の逆相差電流を零相差
電流で補償した電流とすることを特徴とする特許
請求の範囲第1項記載の地絡回線選択継電器。 4 検出電流を平行送電線の逆相差電流を地絡事
故時の健全相差電流で補償した電流とすることを
特徴とする特許請求の範囲第1項記載の地絡回線
選択継電器。 5 送電線の零相電圧および相間電圧の変化に応
じ地絡相選別の演算を行い1相地絡事故相を識別
する地絡相識別手段と、 この地絡相識別手段の識別結果に従つて予め設
定される正相電圧、零相電圧で合成される極性量
および平行送電線の逆相差電流で合成される検出
電流を演算量として選択する演算量選択手段と、 この地絡相識別手段の識別結果に従つて予め設
定される平行送電線の同一相または同一対称分差
電流で合成される合成電流を抑制量として選択す
る抑制量選択手段と、 前記演算量選択手段および前記抑制量選択手段
の選択した演算量および抑制量のサンプル値を算
出し、前記極性量、検出電流および合成電流の値
から地絡事故回線を選択する回線選択手段とを具
備することを特徴とする地絡回線選択継電器。
[Scope of Claims] 1. Ground fault phase identification means that performs ground fault phase selection calculations according to changes in the zero-phase voltage and phase-to-phase voltage of a power transmission line and identifies a single-phase ground fault phase; and this ground fault phase identification means. calculation amount selection means for selecting, as calculation amounts, a polarity amount synthesized by the positive sequence voltage and zero-sequence voltage and a detection current synthesized by the negative phase difference current of the parallel power transmission line, which are preset according to the identification result of; A ground fault line selection relay comprising a line selection means for calculating a sample value of the calculation amount selected by the calculation amount selection means and selecting a ground fault fault line based on the polarity amount and the value of the detected current. 2. The ground fault line selection relay according to claim 1, wherein the detected current is the amount of change in the value of the negative phase difference current of the parallel power transmission line at the time of the accident with respect to the stored value before the occurrence of the accident. 3. The ground fault line selection relay according to claim 1, wherein the detection current is a current obtained by compensating the negative phase difference current of the parallel power transmission line with the zero sequence difference current. 4. The ground fault line selection relay according to claim 1, wherein the detection current is a current obtained by compensating the negative phase difference current of the parallel power transmission line with a healthy phase difference current at the time of a ground fault accident. 5 Ground fault phase identification means that performs calculations for ground fault phase sorting according to changes in the zero-sequence voltage and phase-to-phase voltage of the transmission line and identifies a single-phase ground fault fault phase, and according to the identification result of this ground fault phase identification means. a calculation amount selection means for selecting a polarity amount synthesized by a preset positive-sequence voltage and a zero-sequence voltage, and a detection current synthesized by a negative-phase difference current of a parallel power transmission line as a calculation amount; Suppression amount selection means for selecting, as a suppression amount, a composite current composed of the same phase or the same symmetric differential current of parallel power transmission lines set in advance according to the identification result; the calculation amount selection means and the suppression amount selection means. and a line selection means for calculating sample values of the selected calculation amount and suppression amount, and selecting a ground fault fault line from the values of the polarity amount, the detected current, and the composite current. relay.
JP9600281A 1981-06-23 1981-06-23 Ground-fault channel selecting relay Granted JPS57211930A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP9600281A JPS57211930A (en) 1981-06-23 1981-06-23 Ground-fault channel selecting relay

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP9600281A JPS57211930A (en) 1981-06-23 1981-06-23 Ground-fault channel selecting relay

Publications (2)

Publication Number Publication Date
JPS57211930A JPS57211930A (en) 1982-12-25
JPH0332285B2 true JPH0332285B2 (en) 1991-05-10

Family

ID=14152904

Family Applications (1)

Application Number Title Priority Date Filing Date
JP9600281A Granted JPS57211930A (en) 1981-06-23 1981-06-23 Ground-fault channel selecting relay

Country Status (1)

Country Link
JP (1) JPS57211930A (en)

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS5159356A (en) * 1974-11-21 1976-05-24 Tokyo Electric Power Co

Also Published As

Publication number Publication date
JPS57211930A (en) 1982-12-25

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