CN115184739A - Traveling wave distance measurement method and system considering comprehensive parameter change - Google Patents

Traveling wave distance measurement method and system considering comprehensive parameter change Download PDF

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CN115184739A
CN115184739A CN202211112647.4A CN202211112647A CN115184739A CN 115184739 A CN115184739 A CN 115184739A CN 202211112647 A CN202211112647 A CN 202211112647A CN 115184739 A CN115184739 A CN 115184739A
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line
length
distance measurement
sub
packet
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CN115184739B (en
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李岩军
周银平
杨国生
刘亚东
梁英
王文焕
王志洁
高晨光
张红亮
周春霞
沈晓凡
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China Electric Power Research Institute Co Ltd CEPRI
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08—Locating faults in cables, transmission lines, or networks
    • G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08—Locating faults in cables, transmission lines, or networks
    • G01R31/088—Aspects of digital computing
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A90/00—Technologies having an indirect contribution to adaptation to climate change
    • Y02A90/10—Information and communication technologies [ICT] supporting adaptation to climate change, e.g. for weather forecasting or climate simulation
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52—Outage or fault management, e.g. fault detection or location

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Abstract

The invention discloses a traveling wave distance measurement method and a traveling wave distance measurement system considering comprehensive parameter changes. Wherein, the method comprises the following steps: decomposing line parameters, performing sub-packet calculation on the full length of the line, and determining each sub-packet segmented line; calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-divided segmented line; determining wave velocity correction values at two ends of double-end distance measurement according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve; and correcting the double-end distance measurement formula according to the line length correction coefficient and the wave speed correction value, and optimizing the double-end distance measurement value. The line patrol time of line patrol workers is effectively reduced through conversion of the actual fault distance to the nominal fault distance, the economic loss caused by faults is reduced, and the stability and the reliability of the system are improved. By correcting the relevant parameters of the line length value and the wave velocity propagation value, the traveling wave distance measurement precision is effectively improved, and the requirement of the target engineering fault positioning precision is met.

Description

Traveling wave distance measurement method and system considering comprehensive parameter change
Technical Field
The invention relates to the technical field of fault location, in particular to a traveling wave distance measurement method and a traveling wave distance measurement system considering comprehensive parameter change.
Background
The transmission line is one of the most faulted devices in the power system, and once a fault tripping accident occurs, the production operation of national economy is influenced, and meanwhile, inconvenience is brought to the life of people. Accurate fault location of a power transmission line in a power system can quickly reduce the fault location range, reduce the line inspection burden, shorten the fault elimination time, and has important significance for timely repairing the line, improving the power supply reliability of the power system and reducing the power failure loss.
Traveling wave ranging is a unique fault ranging technology and is divided into a single-end method and a double-end method. The single-end method has a great difficulty in correctly identifying fault reflected waves in a long line, so that the application is limited.
At present, a double-end method is used mostly, and the basic principle is that when a fault occurs in a line, current transient fault components caused by fault initial traveling wave surges are sensed at two ends of the line. The time when the current transient fault components appear at the two ends of the line is the arrival time of the initial fault traveling wave surge, so that the distance between a fault point and the measuring points at the two ends of the line is calculated by using the difference value of the absolute times of the current transient fault components sensed at the two ends of the line, and double-end traveling wave fault location can be realized. The double-end method needs to monitor the accurate time of the initial traveling wave of the fault point reaching the two measuring ends to complete positioning, does not need to analyze and identify the reflected wave, and has high distance measurement reliability.
However, in practical application, the problem of insufficient long-line ranging accuracy exists in double-end traveling wave ranging, and the main influence factors are as follows:
(1) Non-constant value of total length of line
The line conductor has the characteristics of expansion with heat and contraction with cold, so the length of the line can change along with the change of seasonal temperature. Large line length variations can cause traveling wave ranging errors of up to several kilometers, which makes the fault traveling wave ranging errors large.
(2) Problem of measuring traveling wave velocity
The actual wave velocity is affected by various factors such as line parameters, frequency variation, geographical positions, climate and the like, uncertainty exists, the attenuation of the high-frequency part of the traveling wave causes the amplitude of the wave velocity to be reduced, the measured wave velocity is not constant, a certain fixed value close to the light velocity is usually adopted in the past, and the fixed value wave velocity calculation generates large errors.
In summary, the factors affecting the accuracy of the traveling wave distance measurement include the arrival time of the faulty traveling wave, the total length of the line, and the speed of the traveling wave. In the ultra-high voltage long-distance transmission line, the traveling wave distance measurement precision is greatly influenced by the full-length parameter and the wave velocity propagation parameter of the measured line, so that the distance measurement error is increased, and the application of the traveling wave distance measurement technology is restricted.
Disclosure of Invention
According to the invention, the traveling wave distance measurement method and the traveling wave distance measurement system which take the comprehensive parameter change into account are provided, so that the problems of fault traveling wave arrival time, line full length and traveling wave speed which influence the traveling wave distance measurement precision are solved. In the ultra-high voltage long-distance transmission line, the traveling wave distance measurement precision is greatly influenced by the full length parameter and the wave velocity propagation parameter of the measured line, so that the distance measurement error is increased, and the technical problem of the application of the traveling wave distance measurement technology is restricted.
According to a first aspect of the present invention, there is provided a traveling wave ranging method taking into account integrated parameter variations, comprising:
decomposing line parameters, performing sub-packet calculation on the full length of the line, and determining each sub-packet segmented line;
calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-divided segmented line;
determining wave velocity correction values at two ends of double-end distance measurement according to an endpoint short circuit test and a simulation wave velocity propagation characteristic curve;
and correcting the double-end distance measurement formula according to the line length correction coefficient and the wave speed correction value, and optimizing the double-end distance measurement value.
Optionally, decomposing the line parameters, performing packet calculation on the full length of the line, and determining each packet segmented line, includes:
decomposing the model number of a target engineering lead, the span ratio, the annual weather and the geographical environment condition of each region;
dividing the whole length of the line into packets, dividing the regions with weather similar to the geographical environment condition into one packet, or designing packet division, and independently dividing the heavy ice region and the mountain region special region into one packet;
calculating the types of the sub-packages, and dividing the sub-packages into different areas according to different types of the sub-packages;
and (4) pitch calculation, namely continuously dividing each area into different sections in the same sub-packet same conductor area according to different pitches, and determining each sub-packet sectional line.
Optionally, calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-packet segmented line, including:
calculating the actual line length of each sub-packet segmented line;
accumulating the actual line length of each sub-packet segmented line to obtain a line length correction value
Figure 809754DEST_PATH_IMAGE001
；
The line length correction value is compared with the nominal total length of the line
Figure 964792DEST_PATH_IMAGE002
Comparing and calculating the line length correction coefficient of the line sub-package length of different weather and environmental conditions
Figure 109466DEST_PATH_IMAGE003
：
Figure 957336DEST_PATH_IMAGE004
Figure 679304DEST_PATH_IMAGE005
Calculating the nominal line length of the line according to the length of the span line without considering the sag influence;
Figure 638033DEST_PATH_IMAGE006
and correcting the line length for the line, calculating according to the actual line length, and considering the sag influence.
Optionally, determining a wave velocity correction value at two ends of the double-end ranging according to the endpoint short circuit test and the simulated wave velocity propagation characteristic curve, including:
fitting wave velocity propagation characteristic curves of the short circuit test system at different distances according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve;
when the line has electrical fault, the fault distance measuring data recording time data is obtained according to the system debugging short circuit test double-end fault calibration time
Figure 371634DEST_PATH_IMAGE007
Calculating a coarse line fault range value
Figure 655985DEST_PATH_IMAGE008
：
Figure 599670DEST_PATH_IMAGE009
；
Ranging rough value according to fault
Figure 362089DEST_PATH_IMAGE010
Dynamically selecting wave velocity correction values at two ends of double-end distance measurement according to the wave velocity propagation characteristic curve
Figure 215776DEST_PATH_IMAGE011
。
Optionally, the method for optimizing the double-end distance measurement value by correcting the double-end distance measurement formula according to the line length correction coefficient and the wave velocity correction value includes:
according to weather and environment condition of each packet and referring to the correction coefficient table, selecting corresponding correction coefficient of length of each packet
Figure 405449DEST_PATH_IMAGE012
And a line length correction value;
correction value based on wave velocity
Figure 39692DEST_PATH_IMAGE013
Corrected value of line length
Figure 402541DEST_PATH_IMAGE014
And dual end ranging time scale
Figure 438630DEST_PATH_IMAGE015
Subcontracting line length correction coefficient
Figure 471308DEST_PATH_IMAGE016
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure 592848DEST_PATH_IMAGE017
wherein x is the position of the fault point, the two sides of the line are respectively marked as an M end and an N end,
Figure 759387DEST_PATH_IMAGE018
is the fault distance measurement value of the line length of the M end,
Figure 384403DEST_PATH_IMAGE019
the fault distance measurement value is the line length fault distance measurement value of the N end;
based on the following formula, the line length fault distance measurement value of the M ends which uniformly change in a certain state
Figure 853562DEST_PATH_IMAGE020
Calculating the fault distance measurement value under the nominal line length of the M end
Figure 196818DEST_PATH_IMAGE021
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure 167048DEST_PATH_IMAGE022
Calculating the fault distance measurement value under the N-end nominal line length
Figure 912151DEST_PATH_IMAGE023
To obtain the nominal fault distance of both ends
Figure 552210DEST_PATH_IMAGE024
、
Figure 382763DEST_PATH_IMAGE025
：
Figure 891105DEST_PATH_IMAGE026
Figure 490714DEST_PATH_IMAGE027
Wherein, the first and the second end of the pipe are connected with each other,
Figure 301675DEST_PATH_IMAGE028
and correcting the coefficient for the length of the section line at the fault point x.
According to another aspect of the present invention, there is also provided a traveling wave ranging system taking into account changes in an integrated parameter, comprising:
determining a sub-packet segmented line module, which is used for decomposing line parameters, performing sub-packet calculation on the full length of the line and determining each sub-packet segmented line;
a wire length correction coefficient calculating module used for calculating a wire length correction value and a wire length correction coefficient according to the actual wire length of each sub-divided segmented line;
the wave speed correction value determining module is used for determining wave speed correction values at two ends of double-end distance measurement according to the endpoint short circuit test and the simulation wave speed propagation characteristic curve;
and the double-end distance measurement optimizing module is used for correcting a double-end distance measurement formula according to the line length correction coefficient and the wave speed correction value and optimizing a double-end distance measurement value.
Optionally, determining a packetized segmented line module includes:
the target engineering decomposition submodule is used for decomposing the type of a target engineering lead, the span occupation ratio, the annual weather and the geographic environment condition of each region;
the sub-segment dividing module is used for dividing the whole length of the line into sub-segments, dividing regions with weather close to the geographical environment condition into one packet, or designing the sub-segment division, and independently dividing heavy ice regions and mountain region special regions into one packet;
the sub-modules in different areas are divided for calculating the types of the sub-wires, and the sub-packages are divided into different areas according to different types of the sub-wires;
and determining sub-modules of each sub-packet segmented line, wherein the sub-modules are used for calculating the segmentation distances, and the same sub-packet same lead area continues to divide each area into different segments according to different segmentation distances so as to determine each sub-packet segmented line.
Optionally, the module for calculating a line length correction coefficient includes:
the sub-module for calculating the length of the line of each sub-packet segmental line is used for calculating the actual line length of each sub-packet segmental line;
a sub-module for obtaining the line length correction value, which is used for accumulating the actual line length of each sub-packet segmented line to obtain the line length correction value
Figure 619524DEST_PATH_IMAGE029
；
A submodule for calculating the linear length correction coefficient and used for correcting the linear length correction value
Figure 665977DEST_PATH_IMAGE030
Nominal total length of line
Figure 385671DEST_PATH_IMAGE031
Comparing and calculating the line length correction coefficient of the line sub-packet length of different weather and environmental conditions
Figure 367534DEST_PATH_IMAGE032
：
Figure 172679DEST_PATH_IMAGE033
Figure 22823DEST_PATH_IMAGE034
Calculating the nominal line length of the line according to the length of the span line without considering the sag influence;
Figure 597024DEST_PATH_IMAGE035
the line length is not corrected for the line, calculated according to the actual line length, and the sag effect is considered.
Optionally, the determining a wave speed correction value module includes:
the fitting propagation characteristic curve submodule is used for fitting the wave velocity propagation characteristic curves of the short-circuit test system at different distances according to the endpoint short-circuit test and the simulation wave velocity propagation characteristic curve;
the submodule for calculating the rough value of the line fault distance measurement is used for obtaining fault distance measurement data recording time data according to the calibration time of the double-end fault of the system debugging short-circuit test when the line has an electrical fault
Figure 749788DEST_PATH_IMAGE036
Calculating the coarse value of line fault range finding
Figure 776650DEST_PATH_IMAGE037
：
Figure 430485DEST_PATH_IMAGE038
；
A wave velocity correction value determining submodule for ranging the coarse value according to the fault
Figure 859192DEST_PATH_IMAGE039
Dynamically selecting double-end distance measurement according to the wave velocity propagation characteristic curveWave velocity correction values at both ends.
Optionally, the optimizing dual ended ranging value module comprises:
a selected line length correction value submodule for selecting corresponding sub-packet line length correction coefficients according to each packet weather and environmental conditions and by referring to the correction coefficient table
Figure 182857DEST_PATH_IMAGE040
And line length correction value
Figure 962594DEST_PATH_IMAGE041
；
An optimize double-ended range finding result submodule for correcting values according to wave velocity
Figure 154541DEST_PATH_IMAGE042
Correction value of linear length
Figure 437755DEST_PATH_IMAGE043
And double-ended ranging time scale
Figure 525797DEST_PATH_IMAGE044
Subcontracting line length correction coefficient
Figure 464934DEST_PATH_IMAGE045
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure 398255DEST_PATH_IMAGE046
wherein x is the position of a fault point, the two sides of the line are marked as an M end and an N end respectively,
Figure DEST_PATH_IMAGE047
is the fault distance measurement value of the line length of the M end,
Figure 332713DEST_PATH_IMAGE048
the fault distance measurement value is the line length fault distance measurement value of the N end;
deriving a double-ended nominal fault distance submodule for basing on a state according to the following formulaLower uniformly-changed M-end line length fault distance measurement value
Figure DEST_PATH_IMAGE049
Calculating the fault distance measurement value under the nominal line length of the M end
Figure 998181DEST_PATH_IMAGE050
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure DEST_PATH_IMAGE051
Calculating the fault distance measurement value under the N-end nominal line length
Figure 283668DEST_PATH_IMAGE052
To obtain the nominal fault distance of both ends
Figure DEST_PATH_IMAGE053
、
Figure 438924DEST_PATH_IMAGE054
：
Figure DEST_PATH_IMAGE055
Figure 493467DEST_PATH_IMAGE056
Wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE057
and correcting the coefficient for the length of the section line at the fault point x.
Therefore, the simulation data and the engineering short circuit test actual measurement data are comprehensively analyzed, the wave velocity value is corrected, and the problem that the distance measurement precision error is increased due to the fact that only the simulation data are analyzed is solved. A calculation method for calculating the actual wire length in a targeted manner is provided, the wire length correction coefficient is calculated, and the problem of fault positioning errors caused by uneven change of the wire length is solved. The line patrol time of line patrol workers is effectively reduced by converting the actual fault distance into the nominal fault distance, the economic loss caused by faults is reduced, and the stability and the reliability of the system are improved. By correcting the relevant parameters of the line length value and the wave velocity propagation value, the traveling wave distance measurement precision is effectively improved, and the requirement of the target engineering fault positioning precision is met.
Drawings
Exemplary embodiments of the invention may be more completely understood in consideration of the following drawings:
fig. 1 is a schematic flow chart of a traveling wave ranging method in consideration of a change of a comprehensive parameter according to this embodiment;
fig. 2 is a schematic flowchart illustrating steps of a traveling wave distance measurement method considering changes of comprehensive parameters according to this embodiment;
FIG. 3 is a schematic diagram of a circuit segment according to the present embodiment;
fig. 4 is a schematic diagram of the circuit sub-package according to the embodiment;
FIG. 5 is a schematic diagram of double-ended ranging according to the present embodiment;
fig. 6 is a schematic diagram of a traveling wave ranging system in accordance with this embodiment, which takes into account a change in an integrated parameter.
Detailed Description
Example embodiments of the present invention will now be described with reference to the accompanying drawings, however, the invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein, which are provided for a complete and complete disclosure of the invention and to fully convey the scope of the invention to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the accompanying drawings is not intended to be limiting of the invention. In the drawings, the same units/elements are denoted by the same reference numerals.
Unless otherwise defined, terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Further, it will be understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense.
According to a first aspect of the present invention, there is provided a traveling wave ranging method 100 taking into account integrated parameter variations, referring to fig. 1, the method 100 comprising:
s101, decomposing line parameters, performing sub-packet calculation on the full length of the line, and determining each sub-packet segmented line;
s102, calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-packet segmented line;
s103, determining wave velocity correction values at two ends of double-end distance measurement according to an endpoint short circuit test and a simulation wave velocity propagation characteristic curve;
and S104, correcting the double-end distance measurement formula according to the line length correction coefficient and the wave speed correction value, and optimizing the double-end distance measurement value.
Specifically, referring to fig. 2, a flow of steps of the present embodiment is explained:
step 1: and decomposing the line parameters, and performing sub-packet calculation on the full length of the line.
And 2, step: and (5) subpackaging to calculate a line length correction value and setting a line length correction coefficient.
And step 3: and calculating a wave velocity propagation value and setting a wave velocity correction coefficient.
And 4, step 4: and correcting a double-end distance measurement formula according to the line length correction coefficient and the wave velocity correction coefficient, and optimizing a double-end distance measurement value.
The step 1 comprises the following steps:
step 1-1: and decomposing the model of the target engineering lead, the span occupation ratio, the annual weather and the environmental conditions of each region.
Step 1-2: referring to fig. 3, the entire length of the line is divided into packets and segments, and the packets are divided into one packet according to weather and geographic environmental conditions, or the packets are designed to be divided into two packets separately in heavy ice regions, mountainous regions and other special regions.
Step 1-3: and calculating the branch conductor model, and dividing each sub-packet into different areas according to different conductor models.
Step 1-4: and (4) calculating the step pitch, and continuously dividing different sections of the same sub-packet of the same wire region according to different step pitches.
The step 2 comprises the following steps:
step 2-1: and calculating the actual line length of each sub-packet segmented line.
Step 2-2: adding the calculated line length of the sub-packet segmented line to obtain the actual total length of the line
Figure 126574DEST_PATH_IMAGE058
。
Step 2-3: nominal total length of line
Figure DEST_PATH_IMAGE059
Comparing and calculating serial line length correction coefficients of different weather and environmental conditions
Figure 837041DEST_PATH_IMAGE060
。
The step 3 comprises the following steps:
step 3-1: and fitting wave velocity propagation characteristic curves of the short circuit test system at different distances according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve.
Step 3-2: when the line has electrical fault, the time is calibrated according to the double-end fault of the system debugging short-circuit test, and the fault distance measurement data recording time data is obtained
Figure DEST_PATH_IMAGE061
Calculating the coarse value of line fault range finding
Figure 784268DEST_PATH_IMAGE062
。
Figure 224477DEST_PATH_IMAGE038
Step 3-3: ranging rough value according to fault
Figure 966168DEST_PATH_IMAGE062
Dynamically selecting wave velocity propagation values at two ends of double-end distance measurement according to wave velocity propagation characteristic curve
Figure DEST_PATH_IMAGE063
。
The step 4:
step 4-1: as shown with reference to fig. 4, according to each packetSelecting corresponding correction coefficient of the length of the subcontracting wire according to the weather and environmental conditions and the correction coefficient table
Figure 226248DEST_PATH_IMAGE064
Correction value of line length (actual line full length)
Figure DEST_PATH_IMAGE065
。
Wherein, the ratio of the nominal line length of the line to the actual line length is a correction coefficient of the line length, and the calculation formula is as follows:
Figure 711587DEST_PATH_IMAGE066
Figure DEST_PATH_IMAGE067
is a correction factor for the length of the line packetization,
Figure 740723DEST_PATH_IMAGE068
the nominal line length of the line is calculated according to the span line length, and the sag influence is not considered.
Figure DEST_PATH_IMAGE069
Calculating the actual length of the line according to the actual line length, and considering the sag influence.
Referring to FIG. 5, the correction value is based on the wave velocity
Figure 653315DEST_PATH_IMAGE070
Line length correction value (actual line full length)
Figure DEST_PATH_IMAGE071
And double-ended ranging time scale
Figure 400692DEST_PATH_IMAGE072
And correcting the double-end distance measurement formula by the subcontracting length correction coefficient, and optimizing a double-end distance measurement result. After correctionThe formula (2) is as described in formula (1).
Figure DEST_PATH_IMAGE073
In the formula (1), x is the position of a fault point, the two sides of the line are respectively marked as an M end and an N end,
Figure 689722DEST_PATH_IMAGE074
is a calculated value of the fault distance measurement of the M end,
Figure DEST_PATH_IMAGE075
and calculating the value of the N-terminal fault distance measurement.
Step 4-3: will change the line length fault range finding value evenly based on a certain state (span, weather condition, tower)
Figure 776626DEST_PATH_IMAGE076
Calculating the fault distance measurement value under the nominal line length
Figure DEST_PATH_IMAGE077
Substituting the calculation result of the step 4-2 into the following formulas (2) and (3) to obtain the double-end nominal fault distance
Figure 250333DEST_PATH_IMAGE078
、
Figure DEST_PATH_IMAGE079
。
Figure 94792DEST_PATH_IMAGE080
Formula (2), (3)
Figure DEST_PATH_IMAGE081
The middle is the correction coefficient of the length of the section line at the fault point x.
Considering various factors influencing the change of the line length, such as sag, temperature, icing, wind power and the like, a calculation method for calculating the actual line length in a targeted manner is provided, and fault positioning errors caused by the change of the line length are eliminated. The method for calculating the sub-packets of the line comprises the steps of decomposing a target engineering line according to weather characteristics of a certain region, effectively solving the problem of unequal changes of line lengths of all sections caused by weather changes of different regions, effectively calculating accurate values of the line total length in different seasons, and eliminating fault positioning errors caused by uneven changes of the line length of each packet.
The line patrol time of line patrol workers is effectively reduced by converting the actual fault distance into the nominal fault distance, the economic loss caused by faults is reduced, and the stability and the reliability of the system are improved.
The wave velocity is influenced by factors such as line parameters, environmental parameters and the like, and becomes an indeterminate value which is difficult to calculate accurately, and the accurate calculation on site is inconsistent and practical, so that the method provides that the actual wave velocity value is used for correcting the existing wave velocity determinate value, and the accuracy of fitting an actual wave velocity propagation characteristic curve is improved and the wave velocity value during fault is corrected by the double combination of site fault experiments and theoretical simulation. And fault positioning errors caused by attenuation and change of wave speeds in different degrees are eliminated.
By correcting the relevant parameters of the line length value and the wave velocity propagation value, the traveling wave distance measurement precision is effectively improved, and the requirement of the target engineering fault positioning precision is met.
Optionally, decomposing the line parameters, performing packet calculation on the full length of the line, and determining each packet segmented line, includes:
decomposing the model number of a target engineering lead, the span occupation ratio, the annual weather and the geographic environment condition of each region;
dividing the whole length of the line into packets, dividing the regions with weather similar to the geographical environment condition into one packet, or designing packet division, and independently dividing the heavy ice region and the mountain region special region into one packet;
calculating the types of the branch wires, and dividing each sub-packet into different areas according to different wire types;
and (4) pitch calculation, namely continuously dividing each area into different sections in the same sub-packet same conductor area according to different pitches, and determining each sub-packet sectional line.
Optionally, calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-packet segmented line, including:
calculating the actual line length of each sub-packet segmented line;
accumulating the actual line length of each sub-packet segmented line to obtain a line length correction value
Figure 46568DEST_PATH_IMAGE082
；
Correcting the line length
Figure 191241DEST_PATH_IMAGE082
Nominal total length of line
Figure DEST_PATH_IMAGE083
Comparing and calculating the line length correction coefficient of the line sub-packet length of different weather and environmental conditions
Figure 570270DEST_PATH_IMAGE084
：
Figure DEST_PATH_IMAGE085
Figure 902025DEST_PATH_IMAGE086
Calculating the nominal line length of the line according to the length of the span line without considering the sag influence;
Figure DEST_PATH_IMAGE087
and correcting the length of the line for the line, calculating according to the actual line length, and considering the sag influence.
Optionally, determining a wave velocity correction value at two ends of the double-end ranging according to the endpoint short circuit test and the simulated wave velocity propagation characteristic curve, including:
fitting wave velocity propagation characteristic curves of the short circuit test system at different distances according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve;
when the line has electrical fault, the fault distance measuring data recording time data is obtained according to the system debugging short circuit test double-end fault calibration time
Figure 657492DEST_PATH_IMAGE088
Calculating the coarse value of line fault range finding
Figure DEST_PATH_IMAGE089
：
Figure 391092DEST_PATH_IMAGE009
；
Ranging rough value according to fault
Figure 409864DEST_PATH_IMAGE090
Dynamically selecting wave speed correction values at two ends of double-end distance measurement according to a wave speed propagation characteristic curve
Figure DEST_PATH_IMAGE091
。
Optionally, the method for optimizing the double-end distance measurement value by correcting the double-end distance measurement formula according to the line length correction coefficient and the wave velocity correction value includes:
according to weather and environment condition of each packet and referring to the correction coefficient table, selecting corresponding correction coefficient of length of each packet
Figure 353549DEST_PATH_IMAGE092
And line length correction value
Figure DEST_PATH_IMAGE093
；
Correcting values according to wave velocity
Figure 522494DEST_PATH_IMAGE094
Correction value of linear length
Figure DEST_PATH_IMAGE095
And dual end ranging time scale
Figure 235235DEST_PATH_IMAGE096
Subcontracting line length correction coefficient
Figure DEST_PATH_IMAGE097
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure 97011DEST_PATH_IMAGE098
wherein x is the position of the fault point, the two sides of the line are respectively marked as an M end and an N end,
Figure DEST_PATH_IMAGE099
is the fault distance measurement value of the line length at the M end,
Figure 527993DEST_PATH_IMAGE100
the fault distance measurement value is the line length fault distance measurement value of the N end;
based on the following formula, the line length fault distance measurement value of the M ends which uniformly change in a certain state
Figure DEST_PATH_IMAGE101
Calculating the fault distance measurement value under the M-end nominal line length
Figure 500628DEST_PATH_IMAGE102
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure DEST_PATH_IMAGE103
Calculating the fault distance measurement value under the N-end nominal line length
Figure 333455DEST_PATH_IMAGE104
To obtain the nominal fault distance of both ends
Figure DEST_PATH_IMAGE105
、
Figure 100554DEST_PATH_IMAGE106
：
Figure DEST_PATH_IMAGE107
Wherein, the first and the second end of the pipe are connected with each other,
Figure 18831DEST_PATH_IMAGE108
and correcting the coefficient for the length of the section line at the fault point x.
Therefore, the simulation data and the engineering short circuit test actual measurement data are comprehensively analyzed, the wave velocity value is corrected, and the problem that the distance measurement precision error is increased due to the fact that only the simulation data are analyzed is solved. A calculation method for calculating the actual wire length in a targeted manner is provided, the wire length correction coefficient is calculated, and the problem of fault positioning errors caused by uneven change of the wire length is solved. The line patrol time of line patrol workers is effectively reduced through conversion from the actual fault distance to the nominal fault distance, the economic loss caused by faults is reduced, and the stability and the reliability of the system are improved. By correcting the relevant parameters of the line length value and the wave velocity propagation value, the traveling wave distance measurement precision is effectively improved, and the requirement of the target engineering fault positioning precision is met.
According to another aspect of the present invention, there is also provided a traveling wave ranging system 600 taking into account the integrated parameter variation, as shown in fig. 6, the system 600 comprising:
a sub-packet segmented line determining module 610 for decomposing line parameters, performing sub-packet calculation on the full length of the line, and determining each sub-packet segmented line;
a line length correction coefficient calculating module 620, configured to calculate a line length correction value and a line length correction coefficient according to the actual line length of each sub-packet segment line;
a wave velocity correction value determining module 630, configured to determine wave velocity correction values at two ends of the double-end ranging according to the endpoint short circuit test and the simulated wave velocity propagation characteristic curve;
and the optimized double-end ranging value module 640 is used for correcting a double-end ranging formula according to the line length correction coefficient and the wave speed correction value and optimizing a double-end ranging value.
Optionally, the determining a packetized segmented line module 610 includes:
the target engineering decomposition submodule is used for decomposing the type of a target engineering lead, the span occupation ratio, the annual weather and the geographic environment condition of each region;
the sub-packet segment dividing module is used for performing packet segment division on the whole length of the line, dividing regions with weather close to the geographical environment condition into one packet, or designing packet segment division, and independently dividing heavy ice regions and mountain region special regions into one packet;
the sub-modules in different areas are divided for calculating the types of the sub-wires, and the sub-packages are divided into different areas according to different types of the sub-wires;
and determining sub-modules of each sub-packet segmented line, wherein the sub-modules are used for calculating the sub-span, the same sub-packet conducting wire region continuously divides each region into different segments according to different spans, and each sub-packet segmented line is determined.
Optionally, the module 620 for calculating a line length correction coefficient includes:
the sub-module for calculating the wire length of the sub-packet segmented line is used for calculating the actual wire length of each sub-packet segmented line;
a sub-module for obtaining line length correction value, which is used for accumulating the actual line length of each sub-segmented line to obtain the line length correction value
Figure DEST_PATH_IMAGE109
；
A submodule for calculating the thread length correction factor and used for correcting the thread length correction value
Figure 795157DEST_PATH_IMAGE109
Nominal total length of line
Figure 685753DEST_PATH_IMAGE110
Comparing and calculating the line length correction coefficient of the line sub-packet length of different weather and environmental conditions
Figure DEST_PATH_IMAGE111
：
Figure 13966DEST_PATH_IMAGE112
Figure DEST_PATH_IMAGE113
Calculating the nominal line length of the line according to the length of the span line without considering the influence of sag;
Figure 29326DEST_PATH_IMAGE114
and correcting the length of the line for the line, calculating according to the actual line length, and considering the sag influence.
Optionally, the determining a wave velocity correction value module 630 includes:
the fitting propagation characteristic curve submodule is used for fitting the wave velocity propagation characteristic curves of the short-circuit test system at different distances according to the endpoint short-circuit test and the simulation wave velocity propagation characteristic curve;
the submodule for calculating the rough value of the line fault distance measurement is used for obtaining fault distance measurement data recording time data according to the calibration time of double-end fault of the system debugging short-circuit test when the line has an electrical fault
Figure DEST_PATH_IMAGE115
Calculating the coarse value of line fault range finding
Figure 733977DEST_PATH_IMAGE116
：
Figure 416763DEST_PATH_IMAGE009
；
A wave velocity correction value determining submodule for ranging the coarse value according to the fault
Figure DEST_PATH_IMAGE117
Dynamically selecting wave velocity correction values at two ends of double-end distance measurement according to the wave velocity propagation characteristic curve
Figure 915877DEST_PATH_IMAGE118
。
Optionally, the optimize paired-end range value module 640 includes:
a selected line length correction value submodule for selecting corresponding sub-packet lines according to each packet weather and environmental condition and referring to the correction coefficient tableLong correction factor
Figure DEST_PATH_IMAGE119
And line length correction value
Figure 746430DEST_PATH_IMAGE120
；
An optimize double-ended range finding result submodule for correcting values according to wave velocity
Figure DEST_PATH_IMAGE121
Correction value of linear length
Figure 395717DEST_PATH_IMAGE122
And double-ended ranging time scale
Figure DEST_PATH_IMAGE123
Subcontracting line length correction coefficient
Figure 933009DEST_PATH_IMAGE124
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure DEST_PATH_IMAGE125
wherein x is the position of the fault point, the two sides of the line are respectively marked as an M end and an N end,
Figure 603024DEST_PATH_IMAGE126
is the fault distance measurement value of the line length of the M end,
Figure DEST_PATH_IMAGE127
the line length is the fault distance measurement value of the N end;
obtaining a double-end nominal fault distance submodule for measuring the distance based on the M-end linear length fault distance value which is uniformly changed in a certain state according to the following formula
Figure 592977DEST_PATH_IMAGE128
Calculating the fault distance measurement value under the nominal line length of the M end
Figure DEST_PATH_IMAGE129
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure 373851DEST_PATH_IMAGE130
Calculating the fault distance measurement value under the N-end nominal line length
Figure DEST_PATH_IMAGE131
To obtain the nominal fault distance of both ends
Figure 765649DEST_PATH_IMAGE132
、
Figure DEST_PATH_IMAGE133
：
Figure 606567DEST_PATH_IMAGE134
Figure DEST_PATH_IMAGE135
Wherein, the first and the second end of the pipe are connected with each other,
Figure 83815DEST_PATH_IMAGE136
and correcting the coefficient for the length of the section line at the fault point x.
The traveling wave ranging system 600 related to the comprehensive parameter change in the embodiment of the present invention corresponds to the traveling wave ranging method 100 related to the comprehensive parameter change in another embodiment of the present invention, and is not described herein again.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein. The scheme in the embodiment of the application can be implemented by adopting various computer languages, such as object-oriented programming language Java and transliterated scripting language JavaScript.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While the preferred embodiments of the present application have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including the preferred embodiment and all changes and modifications that fall within the scope of the present application.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present application without departing from the spirit and scope of the application. Thus, if such modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is intended to include such modifications and variations as well.

Claims (10)

1. A traveling wave distance measurement method considering comprehensive parameter changes is characterized by comprising the following steps:
decomposing line parameters, performing sub-packet calculation on the full length of the line, and determining each sub-packet segmented line;
calculating a line length correction value and a line length correction coefficient according to the actual line length of each sub-packet segmented line;
determining wave velocity correction values at two ends of double-end distance measurement according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve;
and correcting the double-end distance measurement formula according to the line length correction coefficient and the wave speed correction value, and optimizing the double-end distance measurement value.
2. The method of claim 1, wherein decomposing the line parameters, performing a packet calculation on the full length of the line, and determining each packet segmented line comprises:
decomposing the model number of a target engineering lead, the span occupation ratio, the annual weather and the geographic environment condition of each region;
dividing the whole length of the line into packets and sections, dividing regions with weather close to the geographical environment condition into one packet, or designing packet section division, and independently dividing heavy ice regions and mountain region special regions into one packet;
calculating the types of the sub-packages, and dividing the sub-packages into different areas according to different types of the sub-packages;
and (4) calculating the step pitch, continuously dividing each region into different segments according to different step pitches in the same wire region of the same sub-packet, and determining each sub-packet segmented line.
3. The method of claim 1, wherein calculating a line length correction value and a line length correction factor based on the actual line length of each of the packetized segmented lines comprises:
calculating the actual line length of each sub-packet segmented line;
accumulating the actual line length of each sub-divided segmented line to obtain a line length correction value
Figure 177876DEST_PATH_IMAGE001
；
Correcting the line length
Figure 332914DEST_PATH_IMAGE001
Nominal total length of line
Figure 602221DEST_PATH_IMAGE002
Comparing and calculating the line length correction coefficient of the line sub-packet length of different weather and environmental conditions
Figure 184512DEST_PATH_IMAGE003
：
Figure 781847DEST_PATH_IMAGE004
Figure 6155DEST_PATH_IMAGE005
Calculating the nominal line length of the line according to the length of the span line without considering the sag influence;
Figure 67652DEST_PATH_IMAGE006
and correcting the line length for the line, calculating according to the actual line length, and considering the sag influence.
4. The method of claim 1, determining wave velocity correction values for both ends of a double-ended range measurement based on an endpoint short circuit test and a simulated wave velocity propagation characteristic curve, comprising:
fitting wave velocity propagation characteristic curves of the short circuit test system at different distances according to the endpoint short circuit test and the simulation wave velocity propagation characteristic curve;
when the line has electrical fault, the fault distance measuring data recording time data is obtained according to the system debugging short circuit test double-end fault calibration time
Figure 148740DEST_PATH_IMAGE007
Calculating the coarse value of line fault range finding
Figure 295688DEST_PATH_IMAGE008
：
Figure 730211DEST_PATH_IMAGE009
；
Ranging rough value according to fault
Figure 646215DEST_PATH_IMAGE008
Dynamically selecting wave velocity correction values at two ends of double-end distance measurement according to the wave velocity propagation characteristic curve
Figure 101467DEST_PATH_IMAGE010
。
5. The method of claim 1, wherein modifying the double ended range formula based on the line length correction factor and the wave velocity correction value to optimize the double ended range value comprises:
selecting corresponding correction coefficient of the length of the branch wires according to the weather and the environmental condition of each packet and by referring to the correction coefficient table
Figure 532448DEST_PATH_IMAGE011
And a line length correction value;
correcting values according to wave velocity
Figure 98559DEST_PATH_IMAGE012
Correction value of linear length
Figure 305287DEST_PATH_IMAGE013
And double-ended ranging time scale
Figure 665861DEST_PATH_IMAGE014
Subcontracting line length correction coefficient
Figure 849718DEST_PATH_IMAGE015
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure 688361DEST_PATH_IMAGE016
wherein x is the position of a fault point, the two sides of the line are marked as an M end and an N end respectively,
Figure 516640DEST_PATH_IMAGE017
is the fault distance measurement value of the line length at the M end,
Figure 313694DEST_PATH_IMAGE018
the fault distance measurement value is the line length fault distance measurement value of the N end;
based on the following formula, the line length fault distance measurement value of the M ends which uniformly change in a certain state
Figure 656951DEST_PATH_IMAGE019
Calculating the fault distance measurement value under the nominal line length of the M end
Figure 627181DEST_PATH_IMAGE020
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure 372283DEST_PATH_IMAGE021
Calculating the fault distance measurement value under the N-end nominal line length
Figure 12343DEST_PATH_IMAGE022
To obtain the nominal fault distance of both ends
Figure 842896DEST_PATH_IMAGE023
、
Figure 288921DEST_PATH_IMAGE024
：
Figure 216425DEST_PATH_IMAGE025
Figure 89703DEST_PATH_IMAGE026
Wherein the content of the first and second substances,
Figure 345235DEST_PATH_IMAGE027
and correcting the coefficient for the length of the section line at the fault point x.
6. A traveling wave ranging system that accounts for synthetic parameter variations, comprising:
determining a sub-packet segmented line module, which is used for decomposing line parameters, performing sub-packet calculation on the full length of the line and determining each sub-packet segmented line;
a wire length correction coefficient calculating module used for calculating a wire length correction value and a wire length correction coefficient according to the actual wire length of each sub-packet segmented line;
the wave speed correction value determining module is used for determining wave speed correction values at two ends of double-end distance measurement according to the endpoint short circuit test and the simulation wave speed propagation characteristic curve;
and the double-end distance measurement optimizing module is used for correcting a double-end distance measurement formula according to the line length correction coefficient and the wave velocity correction value and optimizing a double-end distance measurement value.
7. The system of claim 6, wherein determining a packetized segmented line module comprises:
the decomposition target engineering submodule is used for decomposing the model number of a target engineering lead, the span occupation ratio, the annual weather and the geographic environment condition of each region;
the sub-packet segment dividing module is used for performing packet segment division on the whole length of the line, dividing regions with weather close to the geographical environment condition into one packet, or designing packet segment division, and independently dividing heavy ice regions and mountain region special regions into one packet;
the sub-modules in different areas are divided for calculating the types of the sub-wires, and the sub-packages are divided into different areas according to different types of the sub-wires;
and determining sub-modules of each sub-packet segmented line, wherein the sub-modules are used for calculating the segmentation distances, and the same sub-packet same lead area continues to divide each area into different segments according to different segmentation distances so as to determine each sub-packet segmented line.
8. The system of claim 7, wherein the calculate line length correction factor module comprises:
the sub-module for calculating the wire length of the sub-packet segmented line is used for calculating the actual wire length of each sub-packet segmented line;
a sub-module for obtaining the line length correction value, which is used for accumulating the actual line length of each sub-packet segmented line to obtain the line length correction value
Figure 329372DEST_PATH_IMAGE028
；
A submodule for calculating the thread length correction factor and used for correcting the thread length correction value
Figure 111383DEST_PATH_IMAGE028
Nominal total length of line
Figure 155563DEST_PATH_IMAGE029
Comparing and calculating the line length correction coefficient of the line sub-packet length of different weather and environmental conditions
Figure 396926DEST_PATH_IMAGE030
：
Figure 184753DEST_PATH_IMAGE031
Figure 821271DEST_PATH_IMAGE032
Calculating the nominal line length of the line according to the length of the span line without considering the influence of sag;
Figure 301931DEST_PATH_IMAGE033
and correcting the line length for the line, calculating according to the actual line length, and considering the sag influence.
9. The system of claim 6, wherein the determine wave speed correction module comprises:
the fitting propagation characteristic curve submodule is used for fitting wave velocity propagation characteristic curves of the short-circuit test system at different distances according to the endpoint short-circuit test and the simulation wave velocity propagation characteristic curve;
the submodule for calculating the rough value of the line fault distance measurement is used for obtaining fault distance measurement data recording time data according to the calibration time of the double-end fault of the system debugging short-circuit test when the line has an electrical fault
Figure 328793DEST_PATH_IMAGE034
Calculating the coarse value of line fault range finding
Figure 857994DEST_PATH_IMAGE035
：
Figure 286701DEST_PATH_IMAGE036
；
A wave velocity correction value determining submodule for ranging the coarse value according to the fault
Figure 735000DEST_PATH_IMAGE035
Dynamically selecting wave velocity correction values at two ends of double-end distance measurement according to the wave velocity propagation characteristic curve
Figure 514737DEST_PATH_IMAGE037
。
10. The system of claim 6, wherein the optimized double ended ranging value module comprises:
a selected line length correction value submodule for selecting corresponding sub-packet line length correction coefficients according to each packet weather and environmental conditions and by referring to the correction coefficient table
Figure 909947DEST_PATH_IMAGE038
And line length correction value
Figure 130844DEST_PATH_IMAGE039
；
An optimize double-ended range finding result submodule for correcting values according to wave velocity
Figure 953306DEST_PATH_IMAGE040
Corrected value of line length
Figure 17077DEST_PATH_IMAGE041
And dual end ranging time scale
Figure 684819DEST_PATH_IMAGE042
Subcontracting line length correction coefficient
Figure 25801DEST_PATH_IMAGE043
Correcting a double-end distance measurement formula, and optimizing a double-end distance measurement result:
Figure 19165DEST_PATH_IMAGE044
wherein x is the position of the fault point,the two sides of the circuit are marked as M terminal and N terminal respectively,
Figure 304653DEST_PATH_IMAGE045
is the fault distance measurement value of the line length of the M end,
Figure 307244DEST_PATH_IMAGE046
the fault distance measurement value is the line length fault distance measurement value of the N end;
obtaining a double-end nominal fault distance submodule for measuring the distance based on the uniformly-changed M-end line length fault under a certain state according to the following formula
Figure 565050DEST_PATH_IMAGE047
Calculating the fault distance measurement value under the nominal line length of the M end
Figure 899954DEST_PATH_IMAGE048
Based on the N-terminal line length fault distance measurement value which is uniformly changed in a certain state
Figure 876000DEST_PATH_IMAGE049
Calculating the fault distance measurement value under the N-end nominal line length
Figure 213441DEST_PATH_IMAGE050
To obtain the nominal fault distance of both ends
Figure 325753DEST_PATH_IMAGE051
、
Figure 598603DEST_PATH_IMAGE052
：
Figure 796366DEST_PATH_IMAGE053
Figure 937497DEST_PATH_IMAGE054
Wherein, the first and the second end of the pipe are connected with each other,
Figure 435475DEST_PATH_IMAGE055
and correcting the coefficient for the length of the section line at the fault point x.
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