CN102621453A - Pilot protection method for power transmission line based on signal distance and Bergeron model - Google Patents

Pilot protection method for power transmission line based on signal distance and Bergeron model Download PDF

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CN102621453A
CN102621453A CN201210095019XA CN201210095019A CN102621453A CN 102621453 A CN102621453 A CN 102621453A CN 201210095019X A CN201210095019X A CN 201210095019XA CN 201210095019 A CN201210095019 A CN 201210095019A CN 102621453 A CN102621453 A CN 102621453A
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transmission line
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束洪春
蒋彪
董俊
田鑫萃
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Kunming University of Science and Technology
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Abstract

The invention relates to a pilot protection method for a power transmission line based on signal distance and Bergeron model, belonging to the technical field of relay protection for electric power systems. The pilot protection method comprises the following steps of: when the power transmission line has faults, in a short-time window, measuring voltages (uM, uN) and currents (iM, iN) at the head end (M) point and the tail end (N) point of the power transmission line, simulating and calculating the current at the tail end of the power transmission line by using the actually measured voltage (uM) and current (iM) at the head end according to the line current distribution rule expression of the Bergeron model, comparing the waveforms of the quasi tail end current and the actually measured tail end current (iN), calculating the mutual distance degree between the quasi current and the actually measured current (iN), comparing the calculated mutual distance degree with the set mutual distance degree setting value, and identifying faults inside or outside the region according to the size relationship of the two mutual distance degrees. The pilot protection method is not influenced by excesssive resistance and fault initiating angle and has the advantages of quickly and reliably identifying faults inside and outside the region and the like.

Description

A kind of electric transmission line longitudinal protection method based on signal distance and Bei Jielong model
Technical field
The present invention relates to a kind of electric transmission line longitudinal protection method, belong to the relay protection of power system technical field based on signal distance and Bei Jielong model.
Background technology
In traditional protection, pilot protection can be realized quick-action completely, and has absolute selectivity, so it can satisfy the power system stability needs, fully satisfies selectivity, sensitivity and the quick-action property of relay protection, the requirement of reliability.But traditional differential, carrier current protection of pilot protection such as fibre-optic current receives the difference of PROTECTION FOR LONG UHV TRANSMISSION LINE road distributed capacitance, both sides T A transient characterisitics and degree of saturation and the influence of communication channel, causes the protection incorrect operation easily.
Existing above not enough in order to overcome pilot protection, improve its reliability, realize fault to arbitrfary point on the quick identification of internal fault external fault and the excision transmission line of electricity fast.DISTRIBUTION OF CURRENT along the line through analyzing transmission line of electricity Bei Jielong model is found: when transmission line of electricity generation external area error, in the short time window, with the head end voltage of measuring u M , electric current i M The end current of analog computation
Figure 801102DEST_PATH_IMAGE001
, again with the end current of simulating End current with actual measurement i N Waveform compare, calculate analog current With measured current i N The mutual edge distance degree , and with this mutual edge distance degree
Figure 425933DEST_PATH_IMAGE002
With the mutual edge distance degree setting valve of setting
Figure 81298DEST_PATH_IMAGE003
Relatively, and according to both magnitude relationship discern internal fault external fault.The method adopts distributed parameter model, can overcome the influence of distributed capacitance.
By this, proposition is based on the electric transmission line longitudinal protection method of signal distance and Bei Jielong model.
Summary of the invention
The objective of the invention is to propose a kind of electric transmission line longitudinal protection method based on signal distance and Bei Jielong model; DISTRIBUTION OF CURRENT expression formula along the line according to the Bei Jielong model; Calculate protection installation place analog current and with the mutual edge distance degree of measured current; Relatively discern internal fault external fault with the mutual edge distance degree setting valve of setting again; Overcome distributed capacitance, TA is saturated and communication channel etc. to the influence of pilot protection, improve its reliability, realize fault to arbitrfary point on the quick identification of internal fault external fault and the excision transmission line of electricity fast.
This electric transmission line longitudinal protection method based on signal distance and Bei Jielong model is: when transmission line of electricity breaks down, in short window, measure the voltage that transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,, survey voltage with head end according to the DISTRIBUTION OF CURRENT expression formula along the line of Bei Jielong model u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 963804DEST_PATH_IMAGE001
, and with the end current of simulating
Figure 316288DEST_PATH_IMAGE001
End current with actual measurement i N Waveform compare, calculate analog current
Figure 930940DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 368874DEST_PATH_IMAGE002
, will calculate gained mutual edge distance degree again
Figure 992754DEST_PATH_IMAGE002
With the mutual edge distance degree setting valve of setting
Figure 199744DEST_PATH_IMAGE003
Compare, according to both magnitude relationship identification internal fault external faults.Concrete steps are following:
(1) behind the line failure, in short window, the voltage that actual measurement transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,According to the DISTRIBUTION OF CURRENT expression formula along the line of following Bei Jielong model, use head end voltage then u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 250877DEST_PATH_IMAGE001
:
Figure 176107DEST_PATH_IMAGE004
；
In the formula: r,
Figure 836634DEST_PATH_IMAGE005
, vBe respectively resistance, characteristic impedance, the wave velocity under the circuit modulus, xBe distance apart from the M end, tIt is the time;
(2) in correspondence tIn the time interval [0, Ns], definition line end N point place's analog current and measured current i N Mutual edge distance degree function
Figure 163710DEST_PATH_IMAGE006
As shown in the formula:
Figure 448061DEST_PATH_IMAGE007
；
(3) confirm a mutual edge distance degree setting valve
Figure 532691DEST_PATH_IMAGE003
by following formula:
Figure 560690DEST_PATH_IMAGE003
=
Figure 679956DEST_PATH_IMAGE008
；
Wherein,
Figure 135208DEST_PATH_IMAGE009
The analog current that calculates during for the troubles inside the sample space that (comprises different fault transition resistances, different fault initial angle, different fault distances) under the various situation
Figure 972714DEST_PATH_IMAGE001
And measured current i N The minimum value of mutual edge distance degree, k a Be tuning coefficient;
(4) step (2) is calculated the gained analog current<img file="538825DEST_PATH_IMAGE001.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="14062DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />Mutual edge distance degree setting valve with step (3) setting<img file="640215DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />Compare, according to both magnitude relationship identification transmission line of electricity internal fault external faults; When<img file="761755DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" /><i >≤</i><img file="69239DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />The time, differentiate and be the transmission line of electricity external area error; When<img file="225414DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="960152DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />The time, differentiate and be the transmission line of electricity troubles inside the sample space.
Said tuning coefficient k a Generally get 0.6, to keep certain nargin.
Among the present invention, when the voltage at measurement transmission line of electricity head, last two ends, electric current, SF is 20kHz, and the length of short window is 3ms.
Principle of the present invention is:
1, Transmission Line Distributed Parameter model
The general transmission line model that evenly diminishes with distribution parameter that adopts of high-voltage AC transmission circuit is described.The propagation coefficient of even lossless transmission line γ, velocity of wave νAnd wave impedance Z cWith frequency-independent, can describe transient state process with identical wave equation the signal of different frequency, and it is all relevant with frequency evenly to diminish above-mentioned three parameters of transmission line, can't obtain the wave equation of full rate line.
The computing method of Bei Jielong model are to utilize the characteristic curve equation of the wave process on the circuit; Through certain conversion; Is the circuit of distribution parameter equivalence the resistive network, uses the method for finding the solution the resistive network to calculate a kind of method of the transient state process of whole network again.Can be two sections harmless lines not contacting directly on two topologys with single harmless line equivalence during the computing electric power line transient state process.The Bei Jielong model is to satisfy under the requirement of engineering condition a kind of approximate to uniform transmission line.As can be seen from Figure 4, the Bei Jielong circuit model evenly diminishes transmission line with one section exactly and is divided into two sections even lossless transmission line roads, and every section focuses on the circuit both sides respectively with line resistance.A large amount of engineerings is actual to be shown, so approximate be feasible.
For lossless transmission line transmission, the differential equation is described (Model in Time Domain of this differential equation time solution is as shown in Figure 5) by cable, promptly uses the electric current along the line that fault end electric parameters representes, the expression formula that voltage distributes to be:
Figure 568988DEST_PATH_IMAGE010
；
Figure 476901DEST_PATH_IMAGE011
。
For the Bei Jielong circuit model, this Model in Time Domain is as shown in Figure 6, and the distribution of current expression formula along the line of using fault end electric parameters to represent is:
Figure 425265DEST_PATH_IMAGE004
；
In the formula: r, , vBe respectively resistance, characteristic impedance, the wave velocity under the circuit modulus, xBe any 1 distance along the line to the M end, tIt is the time.
Resistance under the circuit modulus r, characteristic impedance
Figure 925572DEST_PATH_IMAGE005
And wave velocity vUnder the known situation, obtain the voltage that transmission line of electricity head end M is ordered through actual measurement u M And electric current i M , can be by above-mentioned DISTRIBUTION OF CURRENT expression formula along the line, analog computation goes out the electric current that the terminal N of transmission line of electricity is ordered
Figure 637176DEST_PATH_IMAGE001
2, line end measured current i N With analog current
Figure 705626DEST_PATH_IMAGE001
Signal distance
" signal distance " is a notion that characterizes difference between two kinds of characteristic signals, and the notion of use " signal distance " can easily be represented the difference degree of two signals.Asking for two kinds of characteristic signals corresponding difference constantly in relatively more interval, and the mean value of calculated difference, is the plain mode that reflects in objective things or the process otherness between two kinds of characteristic signals.The mutual edge distance degree function of two discrete signals does
Figure 844483DEST_PATH_IMAGE012
, be [0, Ns], then signal at corresponding time interval
Figure 162332DEST_PATH_IMAGE001
With signal i N Mutual edge distance degree computing formula following:
；
When transmission line of electricity broke down, the assumed fault point is positioned at outside the circuit M-N district, and was as shown in Figure 1, for working as transmission line of electricity, when breaking down, in short window, through measuring the voltage of transmission line of electricity head end (M point) and terminal (N point) u M , u N And electric current i M , i N ,, can analog computation go out the terminal electric current of transmission line of electricity according to voltage, the current relation formula of aforementioned measuring end
Figure 600584DEST_PATH_IMAGE001
Figure 848025DEST_PATH_IMAGE014
；
Through above-mentioned mutual edge distance degree function expression, the measured current of line end in the time of can taking place fault i N With analog current
Figure 653170DEST_PATH_IMAGE001
The waveform of signal compares, and calculates the transmission line of electricity analog current
Figure 157444DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 997224DEST_PATH_IMAGE002
According to the signal distance of two signals, can judge the otherness between two signals according to it, judge district's internal and external fault of transmission line of electricity then.
3, screen based on the transmission line of electricity district internal and external fault of signal distance
When transmission line of electricity broke down, the assumed fault point was positioned at outside the circuit M-N district, and for Bei Jielong circuit model (this Model in Time Domain is as shown in Figure 6), the distribution of current expression formula along the line of using fault end electric parameters to represent is:
Figure 415567DEST_PATH_IMAGE004
；
Use head end voltage u M , electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 973587DEST_PATH_IMAGE001
The time, this calculates analog current
Figure 565105DEST_PATH_IMAGE001
Expression formula in the relation of equal quantity that reflects determine unique steady, at this moment analog current by the real elements parameter
Figure 462654DEST_PATH_IMAGE001
And measured current i N Waveform consistent; At this moment, calculate analog current With measured current i N The mutual edge distance degree
Figure 831636DEST_PATH_IMAGE002
Be a relative very little numerical value.
If supposing is false, the trouble spot is positioned at circuit M-N district, because the shunting of trouble spot, the first terminal voltage electric current of transmission line of electricity M-N no longer satisfies telegraph equation, and DISTRIBUTION OF CURRENT expression formula along the line is no longer set up, at this moment analog current And measured current i N Waveform inconsistent, the analog current that calculates
Figure 477436DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 299898DEST_PATH_IMAGE002
Be a relative very big numerical value.
Therefore, when transmission line of electricity generation external area error, analog current
Figure 504614DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree Be a relative very little numerical value; And when transmission line of electricity generating region internal fault, calculate
Figure 310076DEST_PATH_IMAGE002
During than external area error
Figure 303440DEST_PATH_IMAGE002
Much bigger.As long as the analog current when determining various troubles inside the sample space
Figure 57770DEST_PATH_IMAGE001
And measured current i N The minimum value of mutual edge distance degree
Figure 998044DEST_PATH_IMAGE009
, pass through formula again =
Figure 124842DEST_PATH_IMAGE008
Setpoint distance degree setting valve
Figure 366468DEST_PATH_IMAGE003
, can with
Figure 844853DEST_PATH_IMAGE009
With Compare, judge internal fault external fault.
When
Figure 761174DEST_PATH_IMAGE002
≤ The time, the mutual edge distance degree
Figure 568910DEST_PATH_IMAGE002
Be a less relatively numerical value,, differentiate for being the transmission line of electricity external area error with the outer fault model coupling of transmission line of electricity generating region;
As <img file=" 738991DEST_PATH_IMAGE002.GIF " he=" 25 " img-content=" drawing " img-format=" jpg " inline=" no " orientation=" portrait " wi=" 61 " >when <img file=" 510638DEST_PATH_IMAGE003.GIF " he=" 25 " img-content=" drawing " img-format=" jpg " inline=" no " orientation=" portrait " wi=" 73 " />; Mutual edge distance degree <img file=" 897495DEST_PATH_IMAGE002.GIF " he=" 25 " img-content=" drawing " img-format=" jpg " inline=" no " orientation=" portrait " wi=" 61 " /> is a relatively large numerical value; With transmission line of electricity generating region internal fault Model Matching, differentiate and be the transmission line of electricity troubles inside the sample space.
The present invention compared with prior art has following advantage:
(1) route protection that utilizes two ends transient state amount information to constitute does not receive the influence of excessive resistance, fault initial angle, adopts distributed parameter model to eliminate the influence of capacitance current, can discern internal fault external fault reliably;
(2) SF is 20kHz, meets present hardware condition, and realize easily at the scene; The time window of 3ms is very short, can screen internal fault external fault fast, realizes that hypervelocity starts protecting component;
(3) pass through the line end analog current
Figure 780000DEST_PATH_IMAGE001
And measured current i N The mutual edge distance degree
Figure 70167DEST_PATH_IMAGE002
Setting value with the mutual edge distance degree
Figure 12715DEST_PATH_IMAGE003
Size relatively discern internal fault external fault, numerical value difference relatively is obvious, can reliably screen internal fault external fault.
Description of drawings
Fig. 1 is a transmission system structural representation of the present invention; Among the figure, E M , E N Be the two ends power supply, k 1For in the circuit P-M earth fault taking place, leave to the M end distance trouble spot is 40km; k 2For in the circuit M-N earth fault taking place, leave to the M end distance trouble spot is 10km; k 3For in the circuit M-N earth fault taking place, leave to the M end distance trouble spot is 50km; k 4For in the circuit N-Q earth fault taking place, leave to the N end distance trouble spot is 70km; k 5For in the circuit M-N earth fault taking place, leave to the M end distance trouble spot is 200km;
Earth fault for taking place in Fig. 2 in the transmission line of electricity P-M of the present invention, the M end distance is arrived from being 40km (k among Fig. 1 in the trouble spot 1Point place), when transition resistance is 100 Ω, terminal measured current i N With analog current
Figure 388333DEST_PATH_IMAGE001
Oscillogram;
Earth fault for taking place in Fig. 3 in the transmission line of electricity M-N of the present invention, the M end distance is arrived from being 10km (k among Fig. 1 in the trouble spot 2Point place), when transition resistance is 100 Ω, terminal measured current i N With analog current
Figure 74529DEST_PATH_IMAGE001
Oscillogram;
Fig. 4 is transmission system Bei Jielong circuit model figure; Among the figure, lBe the power transmission line length overall , RBe the power transmission line unit resistance , k 1 , k 2 Be respectively the starting point on the back two sections even lossless transmission line roads of equivalence, m 1 , m 2 Be respectively the terminal point on the back two sections even lossless transmission line roads of equivalence;
Fig. 5 is the time-domain equivalent circuit of transmission system lossless transmission line; Among the figure, i k (t) , i k (t-τ) is respectively the capable ripple of first end current on even lossless transmission line road, u k (t), u m (t) be respectively the capable ripple of first terminal voltage on even lossless transmission line road, Z c Equivalent value wave impedance for even lossless transmission line road;
Fig. 6 is the time-domain equivalent circuit of transmission line of alternation current distributed parameter transmission line model; Among the figure, i k (t), i m (t) be respectively the capable ripple of first end current on even lossless transmission line road, i Mk (t), i Km (t) be the capable ripple of even lossless transmission line road midpoint vagabond current, u k (t), u m (t) be respectively the capable ripple of first terminal voltage on even lossless transmission line road, R is the power transmission line unit resistance, Z cEquivalent value wave impedance for even lossless transmission line road.
Embodiment
Below in conjunction with accompanying drawing and embodiment the present invention is done further elaboration, but protection scope of the present invention is not limited to said content.
Embodiment 1: analogue system is as shown in Figure 1, and transmission line of electricity M-N adopts J.Marti according to the road of modified line frequently model, total track length 150km.Characteristic impedance under the α mould Z c =239.0203 Ω, resistance R=2.7188e-5 Ω/m, wave velocity v=2.9657e+8m/s.A phase earth fault takes place in the circuit M-N, abort situation apart from M hold 10km ( x=10km), as among Fig. 1 k 2 , transition resistance 100 Europe.
When transmission line of electricity broke down, getting the emulation SF was 20kHz, in the 3ms short window, measured the voltage that transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,, survey voltage with head end according to the DISTRIBUTION OF CURRENT expression formula along the line of Bei Jielong model u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal , and with the end current of simulating
Figure 332652DEST_PATH_IMAGE001
End current with actual measurement i N Waveform compare, calculate analog current
Figure 257883DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree , will calculate gained mutual edge distance degree again
Figure 248415DEST_PATH_IMAGE002
With the mutual edge distance degree setting valve of setting Compare, according to both magnitude relationship identification internal fault external faults.Concrete steps are following:
(1) behind the line failure, getting the emulation SF is 20kHz, in the 3ms short window, and the voltage that actual measurement transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,According to the DISTRIBUTION OF CURRENT expression formula along the line of following Bei Jielong model, use head end voltage then u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 617397DEST_PATH_IMAGE001
:
Figure 583079DEST_PATH_IMAGE004
；
Wherein, r,
Figure 764661DEST_PATH_IMAGE005
, vBe respectively resistance, characteristic impedance, the wave velocity under the circuit modulus, xBe distance apart from the M end, tIt is the time; Terminal measured current i N With the analog current that obtains through analog computation
Figure 219913DEST_PATH_IMAGE001
Waveform as shown in Figure 2;
(2) in correspondence tIn the time interval [0, Ns], definition line end N point place's analog current and measured current i N Mutual edge distance degree function
Figure 791840DEST_PATH_IMAGE015
As shown in the formula:
Figure 357951DEST_PATH_IMAGE016
；
Get Ns=60, i.e. 60 sampled points;
Through calculating, obtain analog current
Figure 95837DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 721991DEST_PATH_IMAGE002
=0.926;
(3) confirm a mutual edge distance degree setting valve
Figure 843530DEST_PATH_IMAGE003
by following formula:
Figure 151015DEST_PATH_IMAGE003
=
Figure 307190DEST_PATH_IMAGE008
；
Wherein,
Figure 41928DEST_PATH_IMAGE009
The analog current that calculates during for the troubles inside the sample space under the various situation
Figure 650764DEST_PATH_IMAGE001
And measured current i N The minimum value of mutual edge distance degree; Decide coefficient for keeping certain nargin, rounding k a =0.6, set setting valve
Figure 496360DEST_PATH_IMAGE003
Be 0.35;
(4) step (2) is calculated the gained analog current<img file="507041DEST_PATH_IMAGE001.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="914145DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />With the mutual edge distance degree setting valve of setting<img file="10277DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />Compare,<img file="721881DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="524752DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />, differentiate and be the transmission line of electricity troubles inside the sample space.
Through calculating, the time window be in the 3ms, analog current<img file="663609DEST_PATH_IMAGE001.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="184721DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />=0.926,<img file="700016DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="357393DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />, differentiate and be the transmission line of electricity troubles inside the sample space.
Embodiment 2: analogue system is as shown in Figure 1, and transmission line of electricity M-N adopts J.Marti according to the road of modified line frequently model, and line parameter circuit value is with embodiment 1.A phase earth fault takes place in the circuit M-N, abort situation apart from M hold 50km ( x=50km), as among Fig. 1 k 3 , transition resistance 300 Europe.
After transmission line of electricity breaks down; Press the identical method of embodiment 1; Getting the emulation SF is 20kHz; In the 3ms short window, terminal (N side) electric current
Figure 667152DEST_PATH_IMAGE001
of analog computation transmission line of electricity.
Round and decide coefficient<i >k</i><sub ><i >a</i></sub>=0.6, set setting valve<img file="174094DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />Be 0.35.Through calculating the terminal analog current of transmission line of electricity<img file="227501DEST_PATH_IMAGE001.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="67281DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />=0.901,<img file="485624DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="43644DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />, differentiate and be the transmission line of electricity troubles inside the sample space.
Embodiment 3: analogue system is as shown in Figure 1, and transmission line of electricity M-N adopts J.Marti according to the road of modified line frequently model, and line parameter circuit value is with embodiment 1.A phase earth fault takes place in the circuit P-M, abort situation apart from M hold 40km ( x=40km), as among Fig. 1 k 1 , transition resistance 100 Europe.
After transmission line of electricity broke down, getting the emulation SF was 20kHz, in the 3ms short window, pressed the identical method of embodiment 1, terminal (N side) electric current of analog computation transmission line of electricity
Figure 572845DEST_PATH_IMAGE001
, obtain terminal measured current i N With analog current
Figure 267132DEST_PATH_IMAGE001
Oscillogram is as shown in Figure 3.
Round and decide coefficient k a =0.6, set setting valve Be 0.35.Through calculating the terminal analog current of transmission line of electricity
Figure 901693DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 724331DEST_PATH_IMAGE002
=0.0504,
Figure 538703DEST_PATH_IMAGE002
≤ , differentiate and be the transmission line of electricity external area error.
Embodiment 4: analogue system is as shown in Figure 1, and transmission line of electricity M-N adopts J.Marti according to the road of modified line frequently model, and line parameter circuit value is with embodiment 1.A phase earth fault takes place in the circuit N-Q, abort situation apart from N hold 70km ( x=70km), as among Fig. 1 k 4 , transition resistance 300 Europe.
After transmission line of electricity breaks down; Press the identical method of embodiment 1; Getting the emulation SF is 20kHz; In the 3ms short window, terminal (N side) electric current
Figure 565882DEST_PATH_IMAGE001
of analog computation transmission line of electricity.
Round and decide coefficient k a =0.6, set setting valve
Figure 764782DEST_PATH_IMAGE003
Be 0.35.Through calculating the terminal analog current of transmission line of electricity With measured current i N The mutual edge distance degree =0.044, ≤ , differentiate and be the transmission line of electricity external area error.
Embodiment 5: analogue system is as shown in Figure 1, and total track length is 400km, and transmission line of electricity M-N adopts J.Marti according to the road of modified line frequently model, and line parameter circuit value is with embodiment 1.A phase earth fault takes place in the circuit M-N, abort situation apart from M hold 200km ( x=200km), as among Fig. 1 k 5, transition resistance 100 Europe.
After transmission line of electricity breaks down; Press the identical method of embodiment 1; The emulation SF is 20kHz; In the 3ms short window, terminal (N side) electric current
Figure 753336DEST_PATH_IMAGE001
of analog computation transmission line of electricity.
Round and decide coefficient<i >k</i><sub ><i >a</i></sub>=0.6, set setting valve<img file="183180DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />Be 0.3.Through calculating the terminal analog current of transmission line of electricity<img file="424806DEST_PATH_IMAGE001.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="637612DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />=0.861,<img file="281083DEST_PATH_IMAGE002.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="553933DEST_PATH_IMAGE003.GIF" he="25" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />, differentiate and be the transmission line of electricity troubles inside the sample space.

Claims (4)

1. the electric transmission line longitudinal protection method based on signal distance and Bei Jielong model is characterized in that: when transmission line of electricity breaks down, in short window, measure the voltage that transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,, survey voltage with head end according to the DISTRIBUTION OF CURRENT expression formula along the line of Bei Jielong model u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 386709DEST_PATH_IMAGE001
, and with the end current of simulating End current with actual measurement i N Waveform compare, calculate analog current
Figure 933283DEST_PATH_IMAGE001
With measured current i N The mutual edge distance degree
Figure 305358DEST_PATH_IMAGE002
, will calculate gained mutual edge distance degree again
Figure 376082DEST_PATH_IMAGE002
With the mutual edge distance degree setting valve of setting
Figure 429489DEST_PATH_IMAGE003
Compare, according to both magnitude relationship identification internal fault external faults.
2. the electric transmission line longitudinal protection method based on signal distance and Bei Jielong model according to claim 1 is characterized in that concrete steps are following:
(1) behind the line failure, in short window, the voltage that actual measurement transmission line of electricity head end M point and terminal N are ordered u M , u N And electric current i M , i N ,According to the DISTRIBUTION OF CURRENT expression formula along the line of following Bei Jielong model, use head end voltage then u M And electric current i M The electric current that the analog computation transmission line of electricity is terminal
Figure 82318DEST_PATH_IMAGE001
:
Figure 562978DEST_PATH_IMAGE004
；
Wherein: r,
Figure 917736DEST_PATH_IMAGE005
, vBe respectively resistivity, characteristic impedance, the wave velocity under the circuit modulus, xBe distance apart from the M end, tIt is the time;
(2) in correspondence tIn the time interval [0, Ns], definition line end N point place's analog current and measured current i N Mutual edge distance degree function
Figure 774834DEST_PATH_IMAGE006
As shown in the formula:
Figure 783634DEST_PATH_IMAGE007
；
(3) confirm a mutual edge distance degree setting valve
Figure 435196DEST_PATH_IMAGE003
by following formula:
=
Figure 938038DEST_PATH_IMAGE008
；
Wherein,
Figure 486831DEST_PATH_IMAGE009
The analog current that calculates during for the troubles inside the sample space under the various situation
Figure 387922DEST_PATH_IMAGE001
And measured current i N The minimum value of mutual edge distance degree, k a Be tuning coefficient;
(4) step (2) is calculated the gained analog current<img file="654955DEST_PATH_IMAGE001.GIF" he="25" id="ifm0017" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="17" />With measured current<i >i</i><sub ><i >N</i></sub>The mutual edge distance degree<img file="650593DEST_PATH_IMAGE002.GIF" he="25" id="ifm0018" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" />Mutual edge distance degree setting valve with step (3) setting<img file="319472DEST_PATH_IMAGE003.GIF" he="25" id="ifm0019" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />Compare, according to both magnitude relationship identification transmission line of electricity internal fault external faults; When<img file="578415DEST_PATH_IMAGE002.GIF" he="25" id="ifm0020" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" /><i >≤</i><img file="378750DEST_PATH_IMAGE003.GIF" he="25" id="ifm0021" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />The time, differentiate and be the transmission line of electricity external area error; When<img file="381341DEST_PATH_IMAGE002.GIF" he="25" id="ifm0022" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="61" ><img file="967043DEST_PATH_IMAGE003.GIF" he="25" id="ifm0023" img-content="drawing" img-format="GIF" inline="no" orientation="portrait" wi="73" />The time, differentiate and be the transmission line of electricity troubles inside the sample space.
3. the electric transmission line longitudinal protection method based on signal distance and Bei Jielong model according to claim 2 is characterized in that: tuning coefficient k a =0.6.
4. the electric transmission line longitudinal protection method based on signal distance and Bei Jielong model according to claim 1 and 2 is characterized in that: when the voltage at measurement transmission line of electricity head, last two ends, electric current, SF is 20kHz, and the length of short window is 3ms.
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