CN106019079B - A kind of common-tower double-return DC line novel double end fault distance-finding method - Google Patents

A kind of common-tower double-return DC line novel double end fault distance-finding method Download PDF

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CN106019079B
CN106019079B CN201610332726.4A CN201610332726A CN106019079B CN 106019079 B CN106019079 B CN 106019079B CN 201610332726 A CN201610332726 A CN 201610332726A CN 106019079 B CN106019079 B CN 106019079B
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CN106019079A (en
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田鑫萃
束洪春
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Kunming University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/085Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead

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  • General Physics & Mathematics (AREA)
  • Locating Faults (AREA)
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Abstract

The present invention relates to a kind of common-tower double-return DC line novel double end fault distance-finding methods, belong to Relay Protection Technology in Power System field.When ground fault occurs for common-tower double-return DC line, firstly, obtaining voltage to measuring end M and measuring end N respectively seeks fault component, and line mode voltage component is sought using phase-model transformation;Secondly, using Bei Jielong transmission equation and measuring voltage variety along the calculating of end line mode voltage component;The cube of Current Voltage variable quantity product along voltage traveling wave and measuring end N along measuring end M is sought again, and is integrated when observation in window to construct range function;Fault localization is realized in conjunction with the wavelet modulus maxima point-polarity of rule and false voltage traveling wave is mutated along range function.The present invention carries out fault location for common-tower double-return DC line, and principle is simple, does not need calibration fault traveling wave wave head, and is not influenced by factors such as failure instantaneity, fault resistance variations, and distance measurement result is accurate and reliable.

Description

A kind of common-tower double-return DC line novel double end fault distance-finding method
Technical field
The present invention relates to a kind of common-tower double-return DC line novel double end fault distance-finding methods, belong to electric system relay guarantor Protect technical field.
Background technique
DC line is the important component of one-tower double-circuit DC transmission system, and voltage class is high, and transmission distance is remote, It is severe by way of regional environment during conveying large capacity electric energy, easily cause failure.The fault point of DC line is carried out Placement technology helps quickly and accurately to determine abort situation, mitigates line walking blindness, accelerates to restore power transmission.AC line Road fault location mostly uses greatly traveling wave principle.Current travelling wave ranging method mostly be based on fault traveling wave temporal signatures and in when Between traveling wave is observed on axis, portrays and wave head calibration and the calculating of fault distance.Wherein, time domain Single Terminal Traveling Wave Fault Location It needs to make further research in terms of the automation of wavefront is demarcated and wave head identifies reliability, ranging analysis;Time domain is double Hold travelling wave ranging due to the initial traveling wave wave arrival time difference using faulty line two sides, initial traveling wave calibration reliability and accuracy It is easy to get to guarantee, and does not need to recognize fault point back wave, but both-end travelling wave ranging is synchronous to route both ends cycle accurate It is more demanding.
Summary of the invention
The technical problem to be solved by the present invention is to be overcome conventional Time-domain travelling wave ranging requirement fault traveling wave effectively recognize and The synchronous limitation of ranging cycle accurate, proposes a kind of common-tower double-return DC line novel double end fault distance-finding method.
The technical scheme is that a kind of common-tower double-return DC line novel double end fault distance-finding method, when same tower is double When returning DC line generation ground fault, firstly, obtaining voltage to measuring end M and measuring end N respectively seeks fault component, and adopt Line mode voltage component is sought with phase-model transformation;Secondly, using Bei Jielong transmission equation and measuring end line mode voltage component calculating edge Line voltage variable quantity;The cube of voltage variety product along voltage traveling wave and measuring end N along measuring end M is sought again, and It is integrated when observation in window to construct range function;It is regular and false voltage traveling wave in conjunction with being mutated along range function Wavelet modulus maxima point-polarity realizes fault localization.
Specific steps are as follows:
The first step, when common-tower double-return DC line occur ground fault when, at sample rate 1MHz, to measuring end voltage row Wave signal is sampled, and the line voltage before failure is subtracted with the obtained failure line voltage of measuring end obtains line voltage failure point Amount:
In formula (1), I P of subscript, I N, II P and II N respectively indicate I loop line anode, I loop line cathode, II loop line anode and II Loop line cathode;The value of subscript R is M and N, respectively indicates rectification side measuring end M and inverter side measuring end N;Subscript | 0 | indicate event Before barrier occurs;
Second step makees decoupling transformation to the line voltage Sudden Changing Rate of step (1), obtains line voltage mutation modulus:
In formula (2), S-1For voltage decoupling matrix;u′R,0It (t) is zero mode voltage;u′R,1(t)、u′R,2(t) and u 'R,3(t) it is Decoupling change changes three obtained line mode voltage;
The Aerial mode component voltage that third step, selecting step (2) obtain, and common-tower double-return DC line is calculated using formula (3) Along voltage traveling wave:
In formula (3), subscript s indicates Aerial mode component, takes s=1,2 or 3;Subscript R indicates rectification side measuring end M or inverter side Measuring end N takes R=M or N;rs,Zc,s,vsThe respectively resistance of s line wave, wave impedance and velocity of wave;X is the distance away from measuring end; uR(x, Δ t) are voltage traveling waves along s mould at t moment distance R end x;
The rectification side that step (3) obtains is multiplied with voltage traveling wave along inverter side s mould and seeks its cube by the 4th step, Finally in time window length l/vsIt is integrated to construct range function:
In formula (4), L is the length of failure polar curve;t0At the time of surveying end R for the initial traveling wave amount of reach of failure;
The acquisition of 5th step, abort situation:
To catastrophe point disaggregation x=[x1,x2,……xn] in, find two mutation that the sum of respective distances are equal to failure wire length Point, that is, meet criterion:
x+x*=l x, x*∈[x1,x2,……xn] (5)
Meet the x and x of formula (6)*Containing the information of abort situation;
Wavelet transformation is carried out to the obtained false voltage traveling wave of rectification side measuring end R, and seeks wavelet modulus maxima, root The 2nd fault traveling wave is determined according to the corresponding abort situation of x;
If the polarity of second modulus maximum point with the polarity of first modulus maximum point on the contrary, if judge that fault point is located at Within half wire length, and fault point is that leave the distance of measuring end M be at x;
If the polarity of second modulus maximum point is identical as the polarity of first modulus maximum point, judge that fault point is located at Except half wire length, and fault point is that leave the distance of measuring end M be at l-x.
The beneficial effects of the present invention are: carrying out fault location for common-tower double-return DC line, principle is simple, does not need to mark Determine fault traveling wave wave wave head, and do not influenced by factors such as failure instantaneity, fault resistance variations, distance measurement result accurately may be used It leans on.
Detailed description of the invention
Fig. 1 is the common-tower double-return DC line structure chart of the embodiment of the present invention 1, embodiment 2;
Fig. 2 is measuring end M voltage traveling wave fault component under failure within 1 half wire length of the embodiment of the present invention;
Fig. 3 is measuring end N voltage traveling wave fault component under failure within 1 half wire length of the embodiment of the present invention;
Fig. 4 is measuring end M voltage traveling wave mold component under failure within 1 half wire length of the embodiment of the present invention;
Fig. 5 is measuring end N voltage traveling wave mold component under failure within 1 half wire length of the embodiment of the present invention;
Fig. 6 is range function f within 1 half wire length of the embodiment of the present inventionu(x) mutation distribution results;
Fig. 7 is false voltage traveling wave wavelet modulus maxima result within 1 half wire length of the embodiment of the present invention;
Fig. 8 is measuring end M voltage traveling wave fault component under failure except 2 half wire length of the embodiment of the present invention;
Fig. 9 is measuring end N voltage traveling wave fault component under failure except 2 half wire length of the embodiment of the present invention;
Figure 10 is that measuring end M voltage traveling wave is mutated modulus under failure except 2 half wire length of the embodiment of the present invention;
Figure 11 is measuring end N voltage traveling wave mold component under failure except 2 half wire length of the embodiment of the present invention;
Figure 12 is range function f except 2 half wire length of the embodiment of the present inventionu(x) mutation distribution results;
Figure 13 is false voltage traveling wave wavelet modulus maxima result except 2 half wire length of the embodiment of the present invention.
Specific embodiment
With reference to the accompanying drawings and detailed description, the invention will be further described.
: a kind of common-tower double-return DC line novel double end fault distance-finding method, when common-tower double-return DC line is grounded When failure, firstly, obtaining voltage to measuring end M and measuring end N respectively seeks fault component, and line mould is sought using phase-model transformation Component of voltage;Secondly, using Bei Jielong transmission equation and measuring voltage variety along the calculating of end line mode voltage component;It asks again Along measuring end M along voltage traveling wave and measuring end N voltage variety product cube, and integrated in window when observation To construct range function;In conjunction with the wavelet modulus maxima point pole for being mutated rule and false voltage traveling wave along range function Property realizes fault localization.
Specific steps are as follows:
The first step, when common-tower double-return DC line occur ground fault when, at sample rate 1MHz, to measuring end voltage row Wave signal is sampled, and the line voltage before failure is subtracted with the obtained failure line voltage of measuring end obtains line voltage failure point Amount:
In formula (1), I P of subscript, I N, II P and II N respectively indicate I loop line anode, I loop line cathode, II loop line anode and II Loop line cathode;The value of subscript R is M and N, respectively indicates rectification side measuring end M and inverter side measuring end N;Subscript | 0 | indicate event Before barrier occurs;
Second step makees decoupling transformation to the line voltage Sudden Changing Rate of step (1), obtains line voltage mutation modulus:
In formula (2), S-1For voltage decoupling matrix;u′R,0It (t) is zero mode voltage;u′R,1(t)、u′R,2(t) and u 'R,3(t) it is Decoupling change changes three obtained line mode voltage;
The Aerial mode component voltage that third step, selecting step (2) obtain, and common-tower double-return DC line is calculated using formula (3) Along voltage traveling wave:
In formula (3), subscript s indicates Aerial mode component, takes s=1,2 or 3;Subscript R indicates rectification side measuring end M or inverter side Measuring end N takes R=M or N;rs,Zc,s,vsThe respectively resistance of s line wave, wave impedance and velocity of wave;X is the distance away from measuring end; uR(x, Δ t) are voltage traveling waves along s mould at t moment distance R end x;
The rectification side that step (3) obtains is multiplied with voltage traveling wave along inverter side s mould and seeks its cube by the 4th step, Finally in time window length l/vsIt is integrated to construct range function:
In formula (4), L is the length of failure polar curve;t0At the time of surveying end R for the initial traveling wave amount of reach of failure;
The acquisition of 5th step, abort situation:
To catastrophe point disaggregation x=[x1,x2,……xn] in, find two mutation that the sum of respective distances are equal to failure wire length Point, that is, meet criterion:
x+x*=l x, x*∈[x1,x2,……xn] (5)
Meet the x and x of formula (6)*Containing the information of abort situation;
Wavelet transformation is carried out to the obtained false voltage traveling wave of rectification side measuring end R, and seeks wavelet modulus maxima, root The 2nd fault traveling wave is determined according to the corresponding abort situation of x;
If the polarity of second modulus maximum point with the polarity of first modulus maximum point on the contrary, if judge that fault point is located at Within half wire length, and fault point is that leave the distance of measuring end M be at x;
If the polarity of second modulus maximum point is identical as the polarity of first modulus maximum point, judge that fault point is located at Except half wire length, and fault point is that leave the distance of measuring end M be at l-x.
Embodiment 1: using ± 500kV one-tower double-circuit DC transmission system as shown in Figure 1.Total track length is 1286km, Using conductors on quad bundled, route two sides are equipped with the smoothing reactor of 0.3H, every pole single 12-pulse conveter scheme, specified transmission power For 6400MW, rated current 3200A.Sample rate is set as 1M.Assuming that the electrical quantity of rectification side and inverter side can be surveyed, if I time Metallic earthing failure occurs within half wire length of I P of line anode at rectification side measuring end M600km.
According to step 1, each line voltage fault component waveform of rectification side measuring end M and N are obtained, respectively such as Fig. 2 and figure Shown in 3;According to step 2, voltage decoupling transformation is carried out using line voltage Sudden Changing Rate of the formula (2) to measuring end M and measuring end N, The voltage Aerial mode component of measuring end M is obtained, it is as shown in Figure 4 and Figure 5 respectively;According to step 3, calculated using formula (3) along line voltage Variable quantity;According to step 4, range function f is constructed using formula (4)u(x), Energy distribution result is as shown in Figure 6 along.By scheming 6 it is found that catastrophe point disaggregation x=[599 686 1196] along range function;According to step 5, x is obtained1+x2=l, it is known that prominent Height x1And x2Information containing abort situation.Wavelet modulus maxima analysis is carried out to the false voltage traveling wave of measuring end M, As shown in fig. 7, according to x1=599, obtain the polarity of second modulus maximum point and the polarity of first modulus maximum point on the contrary, Therefore judge that failure occurs in half wire length, and fault distance opens measuring end M599km.
Embodiment 2: using ± 500kV one-tower double-circuit DC transmission system as shown in Figure 1.Total track length is 1286km, Using conductors on quad bundled, route two sides are equipped with the smoothing reactor of 0.3H, every pole single 12-pulse conveter scheme, specified transmission power For 6400MW, rated current 3200A.Sample rate is set as 1M.Assuming that the electrical quantity of rectification side and inverter side can be surveyed, if I time Metallic earthing failure occurs except half wire length of I P of line anode at rectification side measuring end M, 900km.
According to step 1, each line voltage fault component waveform of rectification side measuring end M and N are obtained, respectively such as Fig. 8 and figure Shown in 9;According to step 2, voltage decoupling transformation is carried out using line voltage Sudden Changing Rate of the formula (2) to measuring end M and measuring end N, The voltage Aerial mode component of measuring end M is obtained, it is as shown in Figure 10 and Figure 11 respectively;According to step 3, electricity along the line is calculated using formula (3) Press variable quantity;According to step 4, range function f is constructed using formula (4)u(x), Energy distribution result is as shown in figure 12 along. As shown in Figure 12, the catastrophe point disaggregation x=[386 769 900] along range function;According to step 5, x is obtained1+x2=l, can Know catastrophe point x1And x3Information containing abort situation.Wavelet modulus maxima point is carried out to the false voltage traveling wave of measuring end M Analysis, as shown in figure 13, according to x1=386, obtain the polarity of second modulus maximum point and the polarity of first modulus maximum point It is identical, therefore judge that failure occurs outside half wire length, and fault distance opens measuring end M:l-x1=900km.
In conjunction with attached drawing, the embodiment of the present invention is explained in detail above, but the present invention is not limited to above-mentioned Embodiment within the knowledge of a person skilled in the art can also be before not departing from present inventive concept Put that various changes can be made.

Claims (1)

1. a kind of common-tower double-return DC line novel double end fault distance-finding method, it is characterised in that: when common-tower double-return DC line When ground fault occurs, firstly, obtaining voltage to measuring end M and measuring end N respectively seeks fault component, and phase-model transformation is used Seek line mode voltage component;Secondly, using Bei Jielong transmission equation and measuring voltage change along the calculating of end line mode voltage component Amount;The cube of voltage variety product along voltage traveling wave and measuring end N along measuring end M, and window when observation are asked again It is inside integrated to construct range function;In conjunction with the WAVELET TRANSFORM MODULUS for being mutated rule and false voltage traveling wave along range function Maximum point polarity realizes fault localization;
Specific steps are as follows:
The first step, when common-tower double-return DC line occur ground fault when, at sample rate 1MHz, to measuring end voltage traveling wave believe It number is sampled, the line voltage before failure is subtracted with the obtained failure line voltage of measuring end obtains line voltage fault component:
In formula (1), I P of subscript, I N, II P and II N respectively indicate I loop line anode, I loop line cathode, II loop line anode and II loop line Cathode;The value of subscript R is M and N, respectively indicates rectification side measuring end M and inverter side measuring end N;Subscript | 0 | indicate failure hair Before death;
Second step makees decoupling transformation to the line voltage Sudden Changing Rate of step (1), obtains line voltage mutation modulus:
In formula (2), S-1For voltage decoupling matrix;u′R,0It (t) is zero mode voltage;u′R,1(t)、u′R,2(t) and u 'R,3It (t) is decoupling Convert three obtained line mode voltage;
The Aerial mode component voltage that third step, selecting step (2) obtain, and utilize the edge of formula (3) calculating common-tower double-return DC line Line voltage traveling wave:
In formula (3), subscript s indicates Aerial mode component, takes s=1,2 or 3;Subscript R indicates that rectification side measuring end M or inverter side are measured N is held, R=M or N is taken;rs,Zc,s,vsThe respectively resistance of s line wave, wave impedance and velocity of wave;X is the distance away from measuring end;uR (x, Δ t) are voltage traveling waves along s mould at t moment distance R end x;
The rectification side that step (3) obtains is multiplied with voltage traveling wave along inverter side s mould and seeks its cube by the 4th step, finally In time window length l/vsIt is integrated to construct range function:
In formula (4), L is the length of failure polar curve;t0At the time of surveying end R for the initial traveling wave amount of reach of failure;
The acquisition of 5th step, abort situation:
To catastrophe point disaggregation x=[x1,x2,……xn] in, two catastrophe points that the sum of respective distances are equal to failure wire length are found, Meet criterion:
x+x*=l x, x*∈[x1,x2,……xn] (5)
Meet the x and x of formula (6)*Containing the information of abort situation;
Wavelet transformation is carried out to the obtained false voltage traveling wave of rectification side measuring end R, and seeks wavelet modulus maxima, according to x Corresponding abort situation determines the 2nd fault traveling wave;
If the polarity of second modulus maximum point and the polarity of first modulus maximum point on the contrary, if judge that fault point is located at half line Within length, and fault point is that leave the distance of measuring end M be at x;
If the polarity of second modulus maximum point is identical as the polarity of first modulus maximum point, judge that fault point is located at half line Except length, and fault point is that leave the distance of measuring end M be at l-x.
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CN109752630B (en) * 2019-03-06 2021-05-25 云南电网有限责任公司保山供电局 Fault line selection method for double-circuit direct current lines on same tower
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