CN103762562A - Full-line quick-acting protection method in which T-type transmission grid single-end transient state quantity S-transform is utilized - Google Patents

Full-line quick-acting protection method in which T-type transmission grid single-end transient state quantity S-transform is utilized Download PDF

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CN103762562A
CN103762562A CN201410015544.5A CN201410015544A CN103762562A CN 103762562 A CN103762562 A CN 103762562A CN 201410015544 A CN201410015544 A CN 201410015544A CN 103762562 A CN103762562 A CN 103762562A
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transient state
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CN103762562B (en
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束洪春
郑韵如
高利
曹璞璘
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Kunming University of Science and Technology
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Abstract

The invention relates to a full-line quick-acting protection method in which the T-type transmission grid single-end transient state quantity S-transform is utilized, and belongs to the technical field of electric power system relay protection. When an electric transmission line breaks down, the S-transform is carried out on the line module current transient state quantity which comprises the fault phase and is obtained by a measuring end to obtain a complex-time-frequency matrix, module values of all elements in the matrix are solved to obtain a modular matrix, a high-frequency component IH and a low-frequency component IL are constructed respectively through the modular matrix, the high-frequency transient state energy EH and the low-frequency transient state energy EL are calculated respectively, and the interior fault and the exterior fault of a line to be protected is judged according to the specific value lambda of EH to EL; after the fault is started by 1 ms, lambda in a time window is larger than or equal to 1, the area interior fault is judged, or otherwise, the area exterior fault is judged. The protection for the T-type transmission grid line can be achieved only through the single-end transient state quantity, communication equipment and communication channels are not needed, a protection scheme and a protection device are simple, and debugging and maintaining are easy.

Description

A kind of single-ended transient of T-shaped power transmission network quick-action completely guard method that utilizes S conversion
Technical field
The present invention relates to a kind of single-ended transient of T-shaped power transmission network quick-action completely guard method of the S of utilization conversion, belong to Relay Protection Technology in Power System field.
Background technology
In ultra-high-tension power transmission line, T-shaped wiring is a kind of common line connection.This martingale is simple, speed of application fast and can effectively reduce equipment investment and save transmission of electricity corridor land used.But this circuit generally has the feature that transmitted power is high, load is heavy simultaneously, once line failure likely causes large-area power-cuts.Therefore during T-shaped line failure, protect fast and effectively action to there is prior meaning.
The nineties in last century; the A.T.Johns of University of Bath and Z.Q.BO etc. propose the principle without passage transient based protection in a creative way; transmission line without passage transient based protection, only utilize single-ended amount just can judge fault whether to occur in district; without any need for communication apparatus and communication channel; protection scheme and protective device are comparatively simple, are easy to debugging and safeguard.This protection quick-action that in window, high-frequency noise forms while utilizing after fault one section declines to some extent compared with traveling-wave protection, but compared with traditional power frequency route protection, its quick-action still improves a lot.During internal fault external fault identification, need binding signal processing method to extract required band component and characterize its contained fault signature, and S conversion is combine the outstanding thought of continuous wavelet transform and Short Time Fourier Transform and done further development, it has overcome Fourier mapping window shape in short-term fixes, the defect that time frequency resolution can not regulate.S conversion has good time frequency resolution and time-frequency stationkeeping ability, can reflect the local feature of non-stationary signal, has both been suitable for analyzing the non-stationary signal with emergent properties, has again visual result, advantage that physical meaning is clear and definite aspect feature extraction.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of single-ended transient of T-shaped power transmission network quick-action completely guard method of the S of utilization conversion.
Technical scheme of the present invention is: a kind of single-ended transient of T-shaped power transmission network quick-action completely guard method of the S of utilization conversion; when transmission line breaks down; the line mould current temporary state amount containing fault phase that measuring end is obtained is carried out S conversion; obtain multiple time-frequency matrix; thereby the mould value of asking for each element of matrix obtains a modular matrix, utilize modular matrix to construct respectively high fdrequency component i hand low frequency component i l, and then calculate respectively high frequency transient energy e hwith low frequency transient state energy e l, pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault; If after fault initiating during 1ms in window λbe greater than or equal to 1, be judged to troubles inside the sample space, otherwise be judged to external area error.
Described method concrete steps are:
The first step: fault current is carried out to phase-model transformation and obtain the line mould current temporary state amount containing fault phase;
Second step: the line mould current temporary state amount containing fault phase is carried out to S conversion, and the multiple time-frequency matrix of the S conversion obtaining is asked for to the mould value of each element, thereby obtain a modular matrix, its row vector represents that the time domain of signal under a certain frequency distributes, and utilizes the data of the 301st row to the 602 row can construct the high fdrequency component that frequency range is 50kHz-100kHz i h; And utilize the data of the 36th row to the 72 row can construct the low frequency component that frequency range is 6kHz ~ 12kHz i l;
The 3rd step, respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l;
(1)
Figure 2014100155445100002DEST_PATH_IMAGE004
(2)
In formula: nrepresent current sampling point; kfor proportionality coefficient, sample rate is 200kHz, mrepresent the sampling number in sliding window length;
The 4th step; Calculate the ratio of high frequency transient energy and low frequency transient state energy:
Figure 2014100155445100002DEST_PATH_IMAGE006
(3)
The 5th step: pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault, discriminant is as the formula (4);
Figure 2014100155445100002DEST_PATH_IMAGE008
(4)
In formula j=1 ..., 200;
If λ( j) after fault initiating, in window, being greater than or equal to 1 during 1ms, can differentiate for troubles inside the sample space;
If do not meet formula (4), can differentiate for external area error.
Described proportionality coefficient kbe made as 5, the sampling number in sliding window length m=300.
Operation principle of the present invention is: because row ripple can be subject to the impact of the equivalent capacitance over the ground on bus and connection device thereof in the catadioptric phenomenon of bus, when bus direct-to-ground capacitance c eduring=0.1 μ F; can be similar to and think that the high fdrequency component of 50kHz ~ 100kHz cannot pass through bus; and the low frequency component of 6kHz ~ 12kHz can be similar to and thinks the undamped bus that passes through; in the fault transient signal that utilization is obtained in observation station, the feature difference between two band components of 50kHz ~ 100kHz and 6kHz ~ 12kHz is distinguished protected circuit internal fault external fault.
The invention has the beneficial effects as follows: proposed a kind of single-ended transient of T-shaped power transmission network quick-action completely guard method of the S of utilization conversion, the method only needs one-terminal current transient can form the protection of T-shaped power transmission network circuit, without any need for communication apparatus and communication channel, protection scheme and protective device are comparatively simple, are easy to debugging and safeguard; Adopt S conversion can accurately extract required band component, make result of calculation more reliable.
Accompanying drawing explanation
Fig. 1 is the T-shaped line system emulation of the present invention schematic diagram, line length l mN =200km, l pM =70km, l nQ =50km, l tO =40km; Protection relay r 1be arranged on the M side of studied circuit; c erepresent bus stray capacitance over the ground, value is 0.1 μf;
Fig. 2 is the line mould current component containing fault phase that in the embodiment of the present invention 1, measuring end M obtains;
Fig. 3 is high frequency transient energy and the low frequency transient state energy being calculated by formula (1), (2) in the embodiment of the present invention 1;
Fig. 4 is the ratio of the embodiment of the present invention 1 medium-high frequency transient state energy and low frequency transient state energy;
Fig. 5 is the line mould current component containing fault phase that in the embodiment of the present invention 2, measuring end M obtains;
Fig. 6 is high frequency transient energy and the low frequency transient state energy being calculated by formula (1), (2) in the embodiment of the present invention 2;
Fig. 7 is the ratio of the embodiment of the present invention 2 medium-high frequency transient state energies and low frequency transient state energy;
Fig. 8 is the line mould current component containing fault phase that in the embodiment of the present invention 3, measuring end M obtains;
Fig. 9 is high frequency transient energy and the low frequency transient state energy being calculated by formula (1), (2) in the embodiment of the present invention 3;
Figure 10 is the ratio of the embodiment of the present invention 3 medium-high frequency transient state energies and low frequency transient state energy.
Embodiment
Below in conjunction with the drawings and specific embodiments, the invention will be further described.
Embodiment 1: the T-shaped circuit model of 500kV transmission line as shown in Figure 1, line length l mN=200km, l pM=70km, l nQ=50km, l tO=40km.Protection relay R 1be arranged on the M side of studied circuit. c erepresent bus stray capacitance over the ground, value is 0.1 μ F.In MT section, apart from M end 60km place, AG fault occurs, fault angle is 90 °.Fault current is carried out to phase-model transformation and obtains the line mould current temporary state amount of fault phase, as shown in Figure 2; Line mould current temporary state amount is carried out to S conversion; Utilize S Transform Module Matrixes to extract high fdrequency component i hand low frequency component i l, and respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l, as shown in Figure 3; According to formula (3), ask for energy Ratios λ( n), as shown in Figure 4, as shown in Figure 4, window self-energy ratio during 1ms after fault moment starts λ( n) value between 70 to 80, all much larger than 1, can differentiate for troubles inside the sample space protection action.
Embodiment 2: the T-shaped circuit model of 500kV transmission line as shown in Figure 1, line length l mN=200km, l pM=70km, l nQ=50km, l tO=40km.Protection relay R 1be arranged on the M side of studied circuit. c erepresent bus stray capacitance over the ground, value is 0.1 μ F.In MT section, apart from M end 60km place, AG fault occurs, fault angle is 45 °.Fault current is carried out to phase-model transformation and obtains the line mould current temporary state amount of fault phase, as shown in Figure 5; Line mould current temporary state amount is carried out to S conversion; Utilize S Transform Module Matrixes to extract high fdrequency component i hand low frequency component i l, and respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l, as shown in Figure 6; According to formula (3), ask for energy Ratios λ( n), as shown in Figure 7, as shown in Figure 7, window self-energy ratio during 1ms after fault moment starts λ( n) value between 65 to 80, all much larger than 1, can differentiate for troubles inside the sample space protection action.
Embodiment 3: the T-shaped circuit model of 500kV transmission line as shown in Figure 1, line length l mN=200km, l pM=70km, l nQ=50km, l tO=40km.Protection relay R 1be arranged on the M side of studied circuit. c erepresent bus stray capacitance over the ground, value is 0.1 μ F.In NQ section, apart from N end 40km place, AG fault occurs, fault angle is 90 °.Fault current is carried out to phase-model transformation and obtains the line mould current temporary state amount of fault phase, as shown in Figure 8; Line mould current temporary state amount is carried out to S conversion; Utilize S Transform Module Matrixes to extract high fdrequency component i hand low frequency component i l, and respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l, as shown in Figure 9; According to formula (3), ask for energy Ratios λ( n), as shown in figure 10, as shown in Figure 10, window self-energy ratio during 1ms after fault moment starts λ( n) value between 0 to 0.05, all much smaller than 1, can differentiate for external area error, protection is failure to actuate.
Embodiment 4: a kind of single-ended transient of T-shaped power transmission network quick-action completely guard method that utilizes S conversion; when transmission line breaks down; the line mould current temporary state amount containing fault phase that measuring end is obtained is carried out S conversion; obtain multiple time-frequency matrix; thereby the mould value of asking for each element of matrix obtains a modular matrix, utilize modular matrix to construct respectively high fdrequency component i hand low frequency component i l, and then calculate respectively high frequency transient energy e hwith low frequency transient state energy e l, pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault; If after fault initiating during 1ms in window λbe greater than or equal to 1, be judged to troubles inside the sample space, otherwise be judged to external area error.
Described method concrete steps are:
The first step: fault current is carried out to phase-model transformation and obtain the line mould current temporary state amount containing fault phase;
Second step: the line mould current temporary state amount containing fault phase is carried out to S conversion, and the multiple time-frequency matrix of the S conversion obtaining is asked for to the mould value of each element, thereby obtain a modular matrix, its row vector represents that the time domain of signal under a certain frequency distributes, and utilizes the data of the 301st row to the 602 row can construct the high fdrequency component that frequency range is 50kHz-100kHz i h; And utilize the data of the 36th row to the 72 row can construct the low frequency component that frequency range is 6kHz ~ 12kHz i l;
The 3rd step, respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l;
Figure 99782DEST_PATH_IMAGE002
(1)
Figure 308041DEST_PATH_IMAGE004
(2)
In formula: nrepresent current sampling point; kfor proportionality coefficient, sample rate is 200kHz, mrepresent the sampling number in sliding window length;
The 4th step; Calculate the ratio of high frequency transient energy and low frequency transient state energy:
Figure 184730DEST_PATH_IMAGE006
(3)
The 5th step: pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault, discriminant is as the formula (4);
Figure 321707DEST_PATH_IMAGE008
(4)
In formula j=1 ..., 200;
If λ( j) after fault initiating, in window, being greater than or equal to 1 during 1ms, can differentiate for troubles inside the sample space;
If do not meet formula (4), can differentiate for external area error.
Described proportionality coefficient kbe made as 5, the sampling number in sliding window length m=300.
By reference to the accompanying drawings the specific embodiment of the present invention is explained in detail above, but the present invention is not limited to above-mentioned execution mode, in the ken possessing those of ordinary skills, can also under the prerequisite that does not depart from aim of the present invention, make various variations.

Claims (3)

1. one kind is utilized the single-ended transient of the T-shaped power transmission network quick-action completely guard method of S conversion; it is characterized in that: when transmission line breaks down; the line mould current temporary state amount containing fault phase that measuring end is obtained is carried out S conversion; obtain multiple time-frequency matrix; thereby the mould value of asking for each element of matrix obtains a modular matrix, utilize modular matrix to construct respectively high fdrequency component i hand low frequency component i l, and then calculate respectively high frequency transient energy e hwith low frequency transient state energy e l, pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault; If after fault initiating during 1ms in window λbe greater than or equal to 1, be judged to troubles inside the sample space, otherwise be judged to external area error.
2. the single-ended transient of the T-shaped power transmission network quick-action completely guard method that utilizes S conversion according to claim 1, is characterized in that described method concrete steps are:
The first step: fault current is carried out to phase-model transformation and obtain the line mould current temporary state amount containing fault phase;
Second step: the line mould current temporary state amount containing fault phase is carried out to S conversion, and the multiple time-frequency matrix of the S conversion obtaining is asked for to the mould value of each element, thereby obtain a modular matrix, its row vector represents that the time domain of signal under a certain frequency distributes, and utilizes the data of the 301st row to the 602 row can construct the high fdrequency component that frequency range is 50kHz-100kHz i h; And utilize the data of the 36th row to the 72 row can construct the low frequency component that frequency range is 6kHz ~ 12kHz i l;
The 3rd step, respectively by formula (1), (2) structure high frequency transient energy e hwith low frequency transient state energy e l;
Figure 2014100155445100001DEST_PATH_IMAGE001
(1)
Figure 143444DEST_PATH_IMAGE002
(2)
In formula: nrepresent current sampling point; kfor proportionality coefficient, sample rate is 200kHz, mrepresent the sampling number in sliding window length;
The 4th step; Calculate the ratio of high frequency transient energy and low frequency transient state energy:
Figure 2014100155445100001DEST_PATH_IMAGE003
(3)
The 5th step: pass through e hwith e lratio λsize differentiate protected circuit district internal and external fault, discriminant is as the formula (4);
Figure 122902DEST_PATH_IMAGE004
(4)
In formula j=1 ..., 200;
If λ( j) after fault initiating, in window, being greater than or equal to 1 during 1ms, can differentiate for troubles inside the sample space;
If do not meet formula (4), can differentiate for external area error.
3. the single-ended transient of the T-shaped power transmission network quick-action completely guard method that utilizes S conversion according to claim 2, is characterized in that described proportionality coefficient kbe made as 5, the sampling number in sliding window length m=300.
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CN105098738A (en) * 2015-09-08 2015-11-25 山东大学 Pilot protection method of high-voltage direct current transmission line based on S transformation
CN105098738B (en) * 2015-09-08 2017-09-29 山东大学 A kind of HVDC transmission line longitudinal protection method based on S-transformation
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