CN101907677A - High voltage cable-overhead line hybrid line fault phase ranging method - Google Patents
High voltage cable-overhead line hybrid line fault phase ranging method Download PDFInfo
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Abstract
The invention discloses a method for realizing high voltage cable-overhead line hybrid line fault ranging by using the phase characteristic of a positioning function, which belongs to the technical field of relay protection of power systems. The method comprises: firstly, acquiring positive sequence electrical data at two ends of a failed hybrid line system and equaling the entire hybrid line to a line of the same length; secondly, deducing the positioning function by using the positive electrical data at the two ends of the hybrid line system, and determining a minimum fault partition having a fault point according to the size of the phase of the positioning function; and finally, accurately finding the fault range of the hybrid line in the fault partition by using the size of the phase angle of the positioning function. The method can accurately find the position of a fault, reduce troubleshooting time and accelerate power supply restoration and has a great significance for the safe and economic operation of the power system.
Description
Technical Field
The invention relates to the technical field of power system relay protection, in particular to a method for realizing fault location of a high-voltage cable-overhead line hybrid line by adopting a positioning function phase characteristic.
Background
With the rapid development of large and medium-sized city construction and the requirement of city planning in China, the power cable is widely applied with the advantages of small occupied area, personal safety guarantee, high power supply reliability, small maintenance workload and the like, and further develops and applies more and more widely cable-overhead line mixed lines on the basis of the original cable and overhead line, such as Shanghai Xiaoyangshan cable-overhead mixed line, railway self-closing through cable-overhead line and electrified railway cable-overhead mixed line. The high-voltage cable-overhead line hybrid line can accurately measure the distance after the fault occurs, can shorten the troubleshooting time and accelerate the recovery of power supply, and has very important significance for the safe and economic operation of a power system.
Compared with the fault location of a single cable and an overhead line, the fault location of the high-voltage cable-overhead line hybrid power transmission line has the following new problems: firstly, because the parameters of a cable line and an overhead line are greatly different, and the wave impedance of a mixed line is discontinuous, the mixed line is an uneven transmission line and cannot be directly applied to fault location of the mixed line for an impedance method which is independently applied to fault location of the overhead line; secondly, the traveling wave is reflected at the joint of the cable and the overhead line, so that the identification difficulty of the reflected wave is increased; the propagation speeds in the cable and the overhead line are obviously inconsistent, and direct distance measurement is difficult; and fourthly, after the traveling wave, particularly the reflected wave is transmitted through a longer cable line, the wave head amplitude attenuation is larger, and the measurement precision is easily influenced by interference signals. Therefore, the traveling wave method applied to fault location of individual cables and overhead lines cannot be directly applied to fault location of hybrid lines, either.
Fault location of high voltage cable-overhead line hybrid transmission lines is attracting attention of broad students. The' overview of the fault location method for the cable-overhead line hybrid circuit, published by jade, sujian, li kungxin and the like, provides a method for simultaneously injecting pulse current into a fault phase and a non-fault phase aiming at the fault location of a cable-overhead line, firstly judging a connection point and a fault point position by comparing fault phase traveling wave signals with non-fault phase traveling wave signals and then accurately locating the fault location, but the pulse transmitting device and the synchronism thereof are difficult to realize in practical application. A method for accurately positioning a section by comparing polarities of zero-mode components of a current travelling wave line is provided aiming at the problem of fault location of a railway self-closing through cable-overhead line in a railway self-closing through line fault location method published by Chua Yumei, but the influence of coupling of the zero-mode components of the line at a fault point is not considered. According to the fault location method of the ultra-high voltage cable-overhead line hybrid line published by Wu Chen, Yunengling and Yu Yi, aiming at fault location of the ultra-high voltage cable-overhead line hybrid line, a structural criterion that the negative sequence voltage amplitude of a fault point in a fault additional negative sequence network is maximum is used for firstly judging the cable line or the overhead line where the fault point is located, then the fault point is calculated by using the voltage and the current mutation of the first end and the tail end of a fault area, but when a high-resistance short-circuit fault occurs near the connection of the hybrid line, the negative sequence voltage amplitudes at the connection point are basically the same through calculation of the electric quantity of the two ends, and the fault section can not be correctly judged near the connection point due to the influence of a fault transient process, so that the location failure. According to the novel method for fault traveling wave distance measurement of the cable-overhead line mixed line published in the Langchun and the Sun wave, the fault distance measurement of the cable-overhead line is carried out by judging a fault occurrence section by using the size of distributed current at a cable-overhead line connecting point deduced by electric quantities at two ends of a system under a negative sequence network after the fault, and then using a single-end traveling wave distance measurement device to carry out accurate fault distance measurement.
Disclosure of Invention
The invention aims to provide a distance measuring method for realizing fault location of a high-voltage cable-overhead line hybrid line by utilizing location function phase characteristics aiming at the particularity and complexity of a cable hybrid line, which is characterized in that positive sequence electrical quantity data at two ends of a fault-followed hybrid line system are collected first, and the whole hybrid line is equivalent to a long line; then deducing a positioning function from positive-sequence electrical quantity data at two ends of the hybrid line system, and determining a minimum fault partition containing a fault point according to the size of the phase of the positioning function; and finally, accurately measuring the fault distance of the hybrid line by using the phase angle of the positioning function again in the fault equal partition, and specifically comprising the following steps:
(1) extracting three-phase voltage and current phasors at two ends of m and n of the mixed line system after the fault,
andrespectively obtaining the three-phase voltage and current phasors of m and n ends after the fault according to a symmetrical component method
And
(2) the mixed line is equivalent to a length of lmnThe area initially including the fault point is (l)begin，lend)＝(0，lmn)；
(3) The area containing the failure point is (l)begin，lend) Num equal division is carried out;
(4) deducing electrical quantities measured by m and n ends of the system from two ends of the mixed line system to obtain (3) positive sequence voltage and positive sequence current at each equal division point in the determined area;
(5) deducing a positioning function according to the step (4), and solving the phase angle of the positioning function at each equally divided point;
(6) judging the position relation between the equal points and the fault points according to the size of the positioning function phase angle calculated in the step (5):
1) the phase angle of the positioning function is larger than zero, and the reference position is positioned on the left side of the fault position;
2) the phase angle of the positioning function is less than zero, and the reference position is positioned at the right side of the fault position
3) The phase angle of the positioning function is equal to zero, and the reference position is matched with the fault position;
finding two adjacent equant points k and k +1 by the criterion, wherein the positioning function phase angle is respectively larger than zero and smaller than zero, and then the area (l) containing the fault pointbegin，lend)＝(lk，lk+1). Setting a minimum equal division area threshold value delta lsetRepeating (3) to (5) until lend-lbegin＜ΔlsetThen the smallest equally divided region (l) containing the failure point can be foundbeginm，lendm)；
(7) Determining the fault position by the calculated equal partition with the minimum fault point:
1) determining a step length delta l;
2) reference position lmkFrom lbeginmStart to increment to l in steps of Δ lendmCalculating the phase angle of the positioning function at each point;
3) finding and determining an optimal reference position lmkSo that it satisfies atmkThe phase angle of the localization function is greater than zero at lmkThe phase angle of the positioning function is less than zero;
the fault location f is a fault distance l from end mmf＝lmk-Δl/2。
In step (5), the positioning function at any point k on the high-voltage cable-overhead line hybrid line is:
wherein,
and
positive sequence voltage and positive sequence current at k point on the mixed line are derived for the positive sequence electric quantities of m and n ends respectively.
Delta l in step (6)setThe interval size can be flexibly set according to the actual precision requirement.
The fault position in the step (7) can be located on an overhead line I section, an intermediate cable or an overhead line II section, and the phase characteristics of the positioning function meet the following conditions: when l ismf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; if and only ifmf＝lmkThe phase angle of the positioning function is equal to zero. Wherein lmf、lmkThe distances from a fault position f and a reference position k on the hybrid line to the end m of the I section of the overhead line are respectively.
The delta l in the step (7) can be flexibly set according to the requirements of the actual distance measurement precision and the actual distance measurement speed.
The invention utilizes the phase characteristic of the positioning function to realize the accurate fault location of the hybrid line, and mainly has the following advantages:
1. the mixed line is equivalent to an equal-length line for positioning, and the distance measurement can be carried out without judging a fault section in advance.
2. The positioning function is positioned by the characteristic that the positioning function crosses zero when the reference position and the fault position are matched on the mixed line, a pseudo root does not exist in principle, and the influences of transition resistance, load current, sampling frequency, fault type and fault point position are overcome.
3. The required search range is small, and the method has good rapidity.
4. The invention has simple and reliable principle and high ranging precision.
With the increase of the application of the cable-overhead mixed line, after the cable-overhead mixed line breaks down, the fault position accurate distance measurement can shorten the fault troubleshooting time and accelerate the recovery of power supply, and has very important significance for the safe and economic operation of a power system.
Drawings
FIG. 1 is a B-type hybrid circuit connection structure according to the present invention;
FIG. 2 is a positive sequence net diagram of a hybrid line in case of a fault in section I of an overhead line;
FIG. 3 is a phase characteristic of a positioning function on a hybrid line at a fault of a section I of an overhead line;
FIG. 4 is a positive sequence net diagram of a hybrid line in the event of a fault in the intermediate cabling;
FIG. 5 is a phase characteristic of a positioning function on a hybrid line at a fault in the intermediate cable line;
FIG. 6 is a positive sequence net diagram of a hybrid line during section II of the overhead line;
FIG. 7 is a phase characteristic of a positioning function on a hybrid line at a fault on section II of an overhead line;
FIG. 8 is a graph showing the effect of load current and transition resistance on ABG fault ranging results at 25km on the I section of an overhead line;
FIG. 9 is a graph of the effect of transition resistance and fault location on AG fault ranging results on the intermediate cable lines;
FIG. 10 is a graph of the effect of transition resistance and fault location on AG fault ranging results on overhead line II section;
fig. 11 is a graph of the effect of load current and fault location on ABCG fault ranging results on a hybrid line.
Detailed Description
The invention provides a distance measuring method for realizing fault location of a high-voltage cable-overhead line hybrid line by utilizing the phase characteristic of a location function. Collecting positive sequence electrical quantity data at two ends of a fault-behind hybrid line system, and enabling the whole hybrid line to be equivalent to a line with the same length; then deducing a positioning function from positive-sequence electrical quantity data at two ends of the hybrid line system, and determining a minimum fault partition containing a fault point according to the size of the phase of the positioning function; and finally, accurately measuring the fault distance of the hybrid line in the fault equal partition by using the phase angle of the positioning function again. The invention is further described with reference to the following figures and examples.
Example 1
As shown in fig. 1, the type B hybrid line is taken as an example of an analysis and simulation object, and specifically, as a simple double-ended system, when any point on the line fails, a symmetric component method is used to decompose a fault network into a positive, negative and zero sequence networks; for three-phase symmetric faults or three-phase asymmetric faults, a positive sequence network exists, and therefore, in the invention, the mixed line fault distance measurement is carried out by using positive sequence voltage and positive sequence current.
Assuming that a fault occurs on a B-type hybrid line, the fault point has 3 types: overhead line I section, middle cable line, overhead line II section.
First, positioning function and phase characteristic of any point on hybrid line when I section of overhead line is in fault
Fig. 2 is a positive sequence net diagram of a hybrid line when a section I of an overhead line fails. Wherein,
and
positive sequence voltage and positive sequence current of m and n ends respectively; the node c is a connection point of the section I of the overhead line and the middle cable line; and the t node is a connection point of the section II of the overhead line and the middle cable line. The expression formula of the positioning function at any point k in the section I of the overhead line is shown as the formula (1) when the section I of the overhead line fails.
The positioning function at any point in the intermediate cable line when the section I of the overhead line has a fault is shown as a formula (3).
Wherein lfcThe distance between the fault position f in the section I of the overhead line and the node c is calculated; lmk、lckRespectively the distances from a reference position k selected in the middle cable line to the m end and the c node;
and
and positive sequence voltage and positive sequence current at the k point on the middle cable line are derived for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (4).
The positioning function at any point in the section II of the overhead line when the section I of the overhead line has a fault is shown as the formula (5).
In the formula
Wherein lfcThe distance between the fault position f in the section I of the overhead line and the node c is calculated; lmk、ltkRespectively the distances from the reference position k selected in the section II of the overhead line to the end m and the node t;and
and positive sequence voltage and positive sequence current at the k point on the section II of the overhead line are deduced for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (6).
The phase characteristics of the positioning function on the hybrid line when the section I of the overhead line has a fault are shown in FIG. 3. On the hybrid line, when lmf > lmk, the positioning function phase angle is greater than zero; when l ismf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; if and only ifmf＝lmkThe phase angle of the positioning function is equal to zero. Wherein lmf、lmkThe distances from a fault position f and a reference position k on the hybrid line to the end m of the I section of the overhead line are respectively.
Positioning function and phase characteristic of any point on hybrid line during fault of intermediate cable line
Fig. 4 is a positive sequence net diagram of a hybrid line in the event of a fault in the intermediate cabling. The positioning function expression at any point in the section I of the overhead line when the intermediate cable line fails is shown in formula (7).
Wherein,andpositive sequence voltage and positive sequence current at k points on the I section of the overhead line are derived for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by a formula (2); lcfThe distance between the fault position f in the middle cable line and the node c; lmk、lckRespectively the distances from the reference position k selected in the section I of the overhead line to the end m and the node c.
When the intermediate cable line fails, the expression of the positioning function at any point in the intermediate cable line is shown as a formula (8).
Wherein lmf、lmkRespectively the distance between the fault position f in the middle cable line and the selected reference position k and the end m;
and
and positive sequence voltage and positive sequence current at the k point on the middle cable line are derived for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (4).
The positioning function at any point in the section II of the overhead line when the intermediate cable line has a fault is shown as the formula (9).
Wherein ltfThe distance between the fault position f in the middle cable line and the node t; lmk、ltkRespectively as the k distances of the selected reference positions in the section II of the overhead lineDistance between the m end and the t node;
andand positive sequence voltage and positive sequence current at the k point on the section II of the overhead line are deduced for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (6).
The phase characteristics of the localization function on the hybrid line at the time of the middle cable line fault are shown in fig. 5. On a mixed line, whenmf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; when l ismf＝lmkThe phase angle of the positioning function is equal to zero. Wherein lmf、lmkThe distances from a fault position f and a reference position k on the hybrid line to the end m of the I section of the overhead line are respectively.
Positioning function and phase characteristic of any point of hybrid line during II section fault of overhead line
Fig. 6 is a positive sequence net diagram of the hybrid line at section II of the overhead line. The expression of the positioning function at any point in the section I of the overhead line when the section II of the overhead line fails is shown in the formula (10).
Wherein ltfThe distance between the fault position f in the section II of the overhead line and the node t is shown; lmk、lckRespectively the distances from the reference position k selected in the section I of the overhead line to the end m and the node c;
and
positive sequence voltage and positive sequence current at k points on the I section of the overhead line are derived for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by a formula (2);
the expression of the positioning function at any point in the middle cable line when the section II of the overhead line has a fault is shown as a formula (11).
Wherein lmk、ltkThe distance between a reference position k selected in the middle cable line and the m end and the t node; ltfThe distance between the fault position f in the section II of the overhead line and the node t is shown;
and
and positive sequence voltage and positive sequence current at the k point on the middle cable line are derived for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (4).
The positioning function at any point in the section II of the overhead line when the section II of the overhead line has a fault is shown as a formula (12).
Wherein lmf、lmkAre respectively a frameThe fault position f in the section II of the blank line and the distance between the selected reference position k and the end m;
andand positive sequence voltage and positive sequence current at the k point on the section II of the overhead line are deduced for the positive sequence electric quantities of the m end and the n end respectively, and are calculated by the formula (6).
The phase characteristics of the positioning function on the hybrid line when the section II of the overhead line has a fault are shown in FIG. 7. On a mixed line, whenmf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; if and only ifmf＝lmkThe phase angle of the positioning function is equal to zero. Wherein, lx and lmkThe distances from a fault position f and a reference position k on the hybrid line to the end m of the I section of the overhead line are respectively.
Fourthly, specific steps of algorithm
In summary, whether the fault location is located on the section I of the overhead line or the intermediate cable, or on the section II of the overhead line, the phase characteristics of the positioning function satisfy: when l ismf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; when l ismf＝lmkThe phase angle of the positioning function is equal to zero. Therefore, fault location is carried out by utilizing the characteristic that the phase angle of the positioning function is equal to zero when the reference position on the mixed line is matched with the fault position. The specific ranging algorithm comprises the following steps:
(1) extracting three-phase voltage and current phasors at two ends (m and n ends) of the mixed line system after the fault,
and
the three-phase voltage and current phasors of the m end and the n end after the fault are respectively obtained. Respectively solving positive sequence components of m and n ends according to a symmetrical component method
And
(2) when the hybrid line is equivalent to a long line with a length lx, the area initially containing the fault point is (l)begin，lend)＝(0，lx)；
(3) The area containing the failure point is (l)begin，lend) Dividing n equally;
(4) deducing electrical quantities measured by m and n ends of the system from two ends to obtain (3) positive sequence voltage and positive sequence current at each equal division point in the determined area;
(5) deducing a positioning function according to the step (4), and solving the phase angle of the positioning function at each equally divided point;
(6) judging the position relation between the equal points and the fault points according to the size of the positioning function phase angle calculated in the step (5):
1) the phase angle of the positioning function is larger than zero, and the reference position is positioned on the left side of the fault position;
2) the phase angle of the positioning function is smaller than zero, and the reference position is located on the right side of the fault position;
3) when the phase angle of the positioning function is equal to zero and the reference position is matched with the fault position;
finding two adjacent equant points k and k +1 by the criterion, wherein the positioning function phase angle is respectively larger than zero and smaller than zero, and then the area (l) containing the fault pointbegin，lend)＝(lk，lk+1). Setting a minimum equal division area threshold value delta lsetRepeating (3) to (5) until lend-lbegin＜ΔlsetThen the smallest equally divided region (l) containing the failure point can be foundbeginm，lendm)；
(7) Determining the fault position by the calculated equal partition with the minimum fault point:
4) determining a step length delta l;
5) reference position lmkFrom lbeginmStart to increment to l in steps of Δ lendmCalculating the phase angle of the positioning function at each point;
6) finding and determining an optimal reference position lmkSo that it satisfies atmkThe phase angle of the localization function is greater than zero at lmkThe phase angle of the positioning function is less than zero; the fault location f is a fault distance l from end mmf＝lmk-Δl/2。
The search scope of the present invention is
(wherein,
represents the nearest integer greater than χ, l ═ lmc+lct+lnt) When the distance measurement accuracy delta l is small enough and the Num is reasonably large,
are small.
Table 1: influence of sampling frequency and fault position on AG fault ranging result
Fifthly, calculating results and analyzing
A cable hybrid model is built by utilizing PSCAD simulation software, and the influence conditions of different fault points and sampling frequencies on the A-phase metallic ground fault distance measurement result are shown in Table 1.
The result shows that the algorithm can accurately measure the distance under different sampling frequencies, and the method overcomes the influence of the sampling frequency on the fault position aiming at the distance measurement of the mixed line.
The ranging results when the phase a in the vicinity of the hybrid line connection point experiences a high-resistance ground fault are shown in table 2.
Table 2: ranging result of the invention in case of high resistance fault near the hybrid line connection point
The result shows that the maximum relative distance measurement error does not exceed-1.191% when the high-resistance earth fault is 0.5km near the connection point. Therefore, the invention has no distance measurement dead zone and high distance measurement accuracy.
The influence of the load current and the transition resistance on the ranging result of the AB two-phase short-circuit fault at 25km on the section I of the overhead line is shown in fig. 8. The transition resistance is 0-60 omega, the phase angle of a power supply of an m-side system is-90 degrees, and the result shows that the relative distance measurement error is-0.4 percent, and the method has high distance measurement precision, so that the method overcomes the influences of load current and the transition resistance aiming at the distance measurement of a mixed line.
The influence of the transition resistance and the fault location on the ranging result of the phase-a ground fault on the intermediate cable line is shown in fig. 9. The transition resistance is 0-60 omega, the fault position is 70-100 km, and the result shows that the relative distance measurement error is-0.6% -1.18%, and the distance measurement precision is very high, so that the method overcomes the influence of the transition resistance and the fault position on the distance measurement of the hybrid line.
The influence of the transition resistance and the fault location on the ranging result of the phase-A grounding fault on the section II of the overhead line is shown in FIG. 10. The transition resistance is 0-300 omega, the fault position is 100-170 km, and the result shows that the relative distance measurement error is-0.5% -1.3%, and the distance measurement precision is very high, so that the method overcomes the influence of the transition resistance and the fault position on the distance measurement of the hybrid line.
The influence of the load current and the fault location on the ABCG fault ranging results on the hybrid line is shown in fig. 11. The phase angle of a power supply of the m-side system is-90 degrees, the fault position is 0-170 km, and the result shows that the relative distance measurement error of the invention is-0.3-0.72 percent, and the invention has high distance measurement precision, so the invention overcomes the influence of load current and fault position aiming at the distance measurement of a mixed line. The result shows that the method has high accuracy and effectiveness for the ranging of the mixed line.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.
Claims (2)
1. A distance measuring method for realizing fault location of a high-voltage cable-overhead line hybrid line by utilizing location function phase characteristics is characterized in that positive sequence electrical quantity data at two ends of a fault-behind hybrid line system are collected first, and the whole hybrid line is equivalent to an equal-length line; then deducing a positioning function from positive-sequence electrical quantity data at two ends of the hybrid line system, and determining a minimum fault partition containing a fault point according to the size of the phase of the positioning function; and finally, accurately measuring the fault distance of the hybrid line in the fault equal partition by using the phase angle of the positioning function again.
2. The distance measurement method for realizing the fault location of the high-voltage cable-overhead line hybrid line by using the phase characteristic of the location function according to claim 1, is characterized by comprising the following specific steps of:
(1) extracting three-phase voltage and current phasors at two ends of m and n of the mixed line system after the fault,
and
respectively obtaining the three-phase voltage and current phasors of m and n ends after the fault according to a symmetrical component method
And 
(2) the mixed line is equivalent to a length of lmnThe area initially including the fault point is (l)begin，lend)＝(0，lmn)；
(3) The area containing the failure point is (l)begin，lend) Num equal division is carried out;
(4) deducing electrical quantities measured by m and n ends of the system from two ends of the mixed line system to obtain (3) positive sequence voltage and positive sequence current at each equal division point in the determined area;
(5) deducing a positioning function according to the step (4), and solving the phase angle of the positioning function at each equally divided point;
(6) judging the position relation between the equal points and the fault points according to the size of the positioning function phase angle calculated in the step (5):
1) the phase angle of the positioning function is larger than zero, and the reference position is positioned on the left side of the fault position;
2) the phase angle of the positioning function is smaller than zero, and the reference position is located on the right side of the fault position;
3) the phase angle of the positioning function is equal to zero, and the reference position is matched with the fault position;
finding two adjacent equant points k and k +1 by the criterion, wherein the positioning function phase angle is respectively larger than zero and smaller than zero, and then the area (l) containing the fault pointbegin，lend)＝(lk，lk+1) Setting a minimum equal division area threshold delta lsetRepeating (3) to (5) until lend-lbegin＜ΔlsetThen the smallest equally divided region (l) containing the failure point can be foundbeginm，lendm)；
(7) Determining the fault position by the calculated equal partition with the minimum fault point:
1) determining a step length delta l;
2) reference position lmkFrom lbeginmStart to increment to l in steps of Δ lendmCalculating the phase angle of the positioning function at each point;
3) finding and determining an optimal reference position lmkSo that it satisfies atmkThe phase angle of the localization function is greater than zero at lmkThe phase angle of the positioning function is less than zero;
the fault location f is a fault distance l from end mmf＝lmk-Δl/2；
In step (5), the positioning function at any point k on the high-voltage cable-overhead line hybrid line is:
wherein,
and
positive sequence voltage and positive sequence current at k point on the mixed line are derived for the positive sequence electric quantities of the m end and the n end respectively;
delta l in step (6)setFlexibly setting the interval size according to the actual precision requirement;
the fault position in the step (7) can be located on an overhead line I section, an intermediate cable or an overhead line II section, and the phase characteristics of the positioning function meet the following conditions: when l ismf＞lmkWhen the positioning function phase angle is larger than zero; when l ismf＜lmkWhen the positioning function phase angle is less than zero; when l ismf＝lmkThe phase angle of the positioning function is equal to zero; wherein lmf、lmkRespectively the distances from a fault position f and a reference position k on the hybrid line to the end m of the section I of the overhead line;
and (4) flexibly setting delta l in the step (7) according to the requirements of the actual distance measurement precision and the actual distance measurement speed.
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