CN110618354A - Overhead line fault positioning method, system and storage medium considering electrical distance compensation - Google Patents
Overhead line fault positioning method, system and storage medium considering electrical distance compensation Download PDFInfo
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- CN110618354A CN110618354A CN201911010700.8A CN201911010700A CN110618354A CN 110618354 A CN110618354 A CN 110618354A CN 201911010700 A CN201911010700 A CN 201911010700A CN 110618354 A CN110618354 A CN 110618354A
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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
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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
- G01R31/088—Aspects of digital computing
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Abstract
The invention discloses an overhead line fault positioning method, system and storage medium considering electrical distance compensation, wherein the method comprises the following steps: firstly, acquiring a physical model of the overhead line, which is established by considering the influence of sag factors; secondly, considering the influence of the operation temperature of the overhead line on the length of the overhead line, and integrating two factors of sag and temperature to realize the electric distance compensation of the overhead line; and finally, determining the actual length of the line between the fault point and the suspension point according to a double-end traveling wave distance measurement method, and acquiring the accurate position of the fault point. The invention improves the fault distance measurement precision to a certain extent, and the precision is improved more obviously when the length of the line is longer.
Description
Technical Field
The invention belongs to the technical field of power grid fault location, and particularly relates to an overhead line fault location method, system and storage medium considering electrical distance compensation.
Background
With the rapid development of the power industry and the continuous expansion of power systems, the voltage class and the transmission capacity of transmission lines are gradually increased, and the number of high voltage transmission lines is also increased. However, the high-voltage transmission line spans a large area, passes through complex terrains such as open fields and mountains and rivers, and is always exposed all the year round. Due to the influence of factors such as severe weather conditions and sundries, the overhead line is easy to break down, and huge loss is caused to industrial production and economic society. Therefore, the method realizes rapid and accurate overhead line fault location, has very important significance, reduces economic loss and maintains safe operation of the power grid.
Most of the existing fault location methods, whether an impedance method or a traveling wave method, directly take the sum of horizontal distances between span distances as the total length of an overhead line. In fact, the length of the overhead line is affected by factors such as sag, ambient temperature, load current, etc., and according to the principle of double-end traveling wave ranging, the length of the line is one of the important factors affecting the ranging accuracy. Therefore, the compensation of the line length and the accurate display of the actual fault position in the geographic space are realized, the timely arrival of the fault position by the maintainer is facilitated, the line fault is eliminated, and the overhauling efficiency is improved.
Disclosure of Invention
The invention provides an overhead line fault positioning method, system and storage medium considering electrical distance compensation, and aims to solve the problems existing in overhead line fault positioning by a traveling wave method at present.
In order to achieve the technical purpose and achieve the technical effects, the invention is realized by the following technical scheme:
in a first aspect, the present invention provides an overhead line fault location method considering electrical distance compensation, including:
acquiring a physical model of the overhead line;
calculating a curve expression of an overhead line between the adjacent first tower and the second tower based on the physical model;
calculating the horizontal distance between a suspension point of the overhead line on the first tower and the lowest point of the overhead line sag based on the physical model;
obtaining an actual length calculation formula of the overhead line between suspension points of the overhead line on the first tower and the second tower under the influence of sag factors based on the curve expression of the overhead line;
obtaining a calculation formula of variable quantity generated by the influence of temperature on the length of the overhead line;
calculating the actual length of the overhead line between the suspension points on the first tower and the second tower under the comprehensive influence of the sag and the temperature based on the calculation formula of the actual length of the overhead line between the suspension points on the first tower and the second tower under the influence of the sag factor and the calculation formula of the variation generated by the influence of the temperature on the length of the overhead line;
and substituting the actual length between the suspension points on the first tower and the second tower under the comprehensive influence of sag and temperature of the overhead line into a double-end traveling wave distance measurement formula to obtain an accurate fault position.
Optionally, the curve expression of the overhead line between the adjacent first tower and the second tower is specifically:
wherein σ represents the horizontal stress to which the overhead line is subjected; ω represents the self weight of the overhead line per unit length, x represents the horizontal displacement from an arbitrary point on the overhead line to the origin of coordinates, and y represents the vertical displacement from an arbitrary point on the overhead line to the origin of coordinates.
Optionally, the calculation formulas of the horizontal stress σ borne by the overhead line and the self weight ω of the overhead line per unit length are respectively:
wherein F is the comprehensive breaking force of the overhead line; g is the acceleration of gravity; s is the sectional area of the overhead line; and q is the mass of the overhead line per unit length.
Optionally, the calculation formula of the horizontal distance between the suspension point of the overhead line on the first tower and the lowest point of the overhead line sag is as follows:
wherein a represents the horizontal distance between a suspension point of an overhead line on a first tower and the lowest point of an overhead line sag, H represents the height difference between suspension points of the overhead line on the first tower and a second tower, l represents the span between the first tower and the second tower, and sigma represents the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length.
Optionally, the calculation formula of the actual length of the overhead line between the suspension points on the first tower and the second tower under the influence of the sag factor is as follows:
wherein y (x) represents a curve of an overhead line between adjacent first towers and adjacent second towers, L' represents the actual length of the overhead line between suspension points of the first towers and the second towers under the influence of sag factors, a represents the horizontal distance between the suspension point of the overhead line on the first tower and the sag lowest point of the overhead line, L represents the span between the first towers and the second towers, and sigma represents the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length.
Optionally, the calculation formula of the variation of the overhead line length affected by the temperature is as follows:
ΔL＝β(t-t0)L′
wherein, Δ L represents the amount of change in the overhead line length due to the temperature; β represents the expansion and contraction coefficient; t is t0Is the standard temperature and t represents the current temperature of the overhead line.
Optionally, the calculation formula of the actual length of the overhead line between the suspension points on the first tower and the second tower under the combined influence of sag and temperature is as follows:
wherein L' represents the actual length of the overhead line between the suspension points of the first tower and the second tower under the influence of sag factors, Δ L represents the variation of the length of the overhead line caused by the influence of temperature, and β represents the expansion and contraction coefficients; t is t0The standard temperature is adopted, t represents the current temperature of the overhead line, a represents the horizontal distance between a suspension point of the overhead line on a first tower and the lowest point of the overhead line sag, l represents the span between the first tower and a second tower, and sigma represents the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length.
Optionally, the double-end traveling wave ranging formula specifically includes:
where v represents the propagation velocity of a traveling wave signal, tA、tBRepresents the time of arrival A, B point of the fault initial traveling wave signal, dA、dBThe actual distance between the fault point and the head end A and the tail end B of the line is respectively, and L is the actual length of the overhead line.
In a second aspect, the present invention provides an overhead line fault location system that allows for electrical distance compensation, comprising: comprising a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the steps of the method according to any one of the first aspects.
In a third aspect, the invention provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of the method of any one of the first aspect.
Compared with the prior art, the invention has the beneficial effects that:
the invention comprehensively considers the influence of sag and temperature to carry out the electric distance compensation of the overhead line, obtains the actual length of the overhead line, reduces the fault positioning error generated by directly using the span as the length of the overhead line in the traditional method, improves the precision of the fault positioning, and has more obvious precision improvement when the length of the line is longer.
Drawings
In order that the present disclosure may be more readily and clearly understood, reference is now made to the following detailed description of the present disclosure taken in conjunction with the accompanying drawings, in which:
fig. 1 is a schematic flow diagram of an overhead line fault location method with consideration of electrical distance compensation according to an embodiment of the present invention;
FIG. 2 is a model of an unequally high catenary suspension of one embodiment of the present invention;
FIG. 3 is a schematic view of the arc length infinitesimal force application in one embodiment of the present invention;
fig. 4 is a simulation diagram of an overhead line in an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and do not limit the scope of the invention.
The following detailed description of the principles of the invention is provided in connection with the accompanying drawings.
Example 1
A typical unequal height suspension point overhead line catenary model is shown in fig. 2, and the stress analysis of any point on the overhead line is shown in fig. 3, and the overhead line fault positioning method considering the electrical distance compensation comprises the following steps:
the method comprises the following steps of (1) acquiring a physical model of the overhead line;
in a specific embodiment of the present invention, the physical model of the overhead line in step (1) is created by the following steps:
numbering towers in a power grid by 1 and 2 … … n in sequence;
sequentially obtaining the height H of each tower1、H2……HnStep length l1、l2……lnOptionally selecting two adjacent towers and overhead lines, and establishing a physical model of the overhead line;
the overhead line is assumed to be a flexible chain without rigidity, the rigidity of the overhead line has little influence on the curve shape of the suspension space of the overhead line, and the load is uniformly distributed along the length of the overhead line. Based on the two assumptions and the precision problem, the embodiment of the invention builds a catenary overhead line model to perform electric distance compensation;
establishing a coordinate system shown in fig. 2 by taking the lowest point of the overhead line sag as an original point O, wherein the positive direction of an X axis represents the horizontal distance from any point on the overhead line to the original point, and the positive direction of a Y axis represents the vertical distance from any point on the overhead line to the original point; suppose overhead line yABThe suspension point at both ends is A, B. Recording the height difference between the hanging points A, B as H and the span as l;
step (2) calculating a curve expression of an overhead line between the adjacent first tower and the second tower based on the physical model;
in a specific embodiment of the present invention, the step (2) is specifically:
based on the established coordinate system, any point on the overhead line is subjected to stress analysis, a stress analysis diagram is shown in fig. 3, and according to a stress analysis equation, an expression of a curve y (x) of the overhead line between the adjacent first tower and the second tower can be deduced to be:
wherein sigma is the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length. The calculation method of sigma and omega is as follows:
wherein F is the comprehensive breaking force of the overhead line and takes the value of 1.487 multiplied by 105N; g is the acceleration of gravity, and the value is 9.8m/s2(ii) a S is the sectional area of the overhead line and takes the value of 666.55mm2(ii) a And q is the mass of the overhead line in unit length, and the value is 1210 kg/km.
Step (3) calculating the horizontal distance between a suspension point of the overhead line on the first tower and the lowest point of the overhead line sag based on the physical model;
in one embodiment of the invention, the horizontal distance a from the suspension point A to the lowest point of the sag is calculated;
and (4) obtaining an actual length calculation formula of the overhead line between suspension points of the first tower and the second tower under the influence of sag factors based on the curve expression of the overhead line:
in a specific embodiment of the present invention, the calculation formula of the actual length L' of the overhead line between the suspension points on the first tower and the second tower under the influence of the sag factor is:
step (5) obtaining a calculation formula of the variable quantity generated by the influence of the temperature on the length of the overhead line;
in a specific embodiment of the present invention, the formula for calculating the variation is specifically:
ΔL＝β(t-t0)L′
wherein, Δ L is the variation of the overhead line; beta is the expansion and contraction coefficient of the overhead line and takes the value of 1.9 multiplied by 10-5；t0Is a standard temperature, taking a value of 15 °, and t represents the current temperature of the overhead line.
Step (6) calculating the actual length of the overhead line between the suspension points of the first tower and the second tower under the comprehensive influence of the sag and the temperature based on the calculation formula of the actual length between the suspension points of the overhead line on the first tower and the second tower under the influence of the sag factor and the calculation formula of the variation generated by the influence of the temperature on the length of the overhead line;
in a specific embodiment of the present invention, a calculation formula of an actual length of the overhead line between suspension points on the first tower and the second tower under a comprehensive influence of sag and temperature is as follows:
step (7) bringing the actual length between the suspension points on the first tower and the second tower under the comprehensive influence of sag and temperature of the overhead line into a double-end traveling wave distance measurement formula to obtain an accurate fault position;
in a specific embodiment of the present invention, the expression of the double-ended traveling wave ranging formula is:
where v represents the propagation velocity of a traveling wave signal, tA、tBRepresents the time of arrival A, B point of the fault initial traveling wave signal, dA、dBThe actual distance between the fault point and the head end A and the tail end B of the line is respectively, and L is the actual length of the overhead line.
Simulation verification
In order to verify the effectiveness and reliability of the invention, a 500kV overhead line model is built in PSCAD/EMTDC and is shown in figure 4, LGJ-400/35 type steel core aluminum stranded wires are used as overhead lines, a frequency-dependent characteristic model is adopted for simulation experiment overhead lines, the line lengths are respectively set to be 400km, 600km and 800km, single-phase ground faults are respectively set at positions 100km, 200km and 300km away from the line A end, voltage traveling wave signals are collected at the head end A and the tail end B of the overhead line, the simulation sampling frequency is 10MHz, and the simulation result is shown in table 1.
The fault localization error e is defined by:
in the above formula, XcFor the calculated fault distance, XrAnd L is the actual fault distance and the actual length of the overhead line.
TABLE 1
Example 2
Based on the same inventive concept as embodiment 1, an embodiment of the present invention provides an overhead line fault location system considering electrical distance compensation, including: comprising a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the steps of the method of any of embodiment 1.
Example 3
Based on the same inventive concept as embodiment 1, an embodiment of the present invention provides a computer-readable storage medium on which a computer program is stored, which, when executed by a processor, implements the steps of the method of any one of embodiments 1.
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 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 present invention has been described with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, which are illustrative and not restrictive, and it will be apparent to those skilled in the art that various changes and modifications can be made therein without departing from the spirit and scope of the invention as defined in the appended claims.
The foregoing shows and describes the general principles and broad features of the present invention and advantages thereof. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (10)
1. An overhead line fault location method, system and storage medium considering electrical distance compensation, comprising:
acquiring a physical model of the overhead line;
calculating a curve expression of an overhead line between the adjacent first tower and the second tower based on the physical model;
calculating the horizontal distance between a suspension point of the overhead line on the first tower and the lowest point of the overhead line sag based on the physical model;
obtaining an actual length calculation formula of the overhead line between suspension points of the overhead line on the first tower and the second tower under the influence of sag factors based on the curve expression of the overhead line;
obtaining a calculation formula of variable quantity generated by the influence of temperature on the length of the overhead line;
calculating the actual length of the overhead line between the suspension points on the first tower and the second tower under the comprehensive influence of the sag and the temperature based on the calculation formula of the actual length of the overhead line between the suspension points on the first tower and the second tower under the influence of the sag factor and the calculation formula of the variation generated by the influence of the temperature on the length of the overhead line;
and substituting the actual length between the suspension points on the first tower and the second tower under the comprehensive influence of sag and temperature of the overhead line into a double-end traveling wave distance measurement formula to obtain an accurate fault position.
2. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the curve expression of the overhead line between the adjacent first tower and the second tower is as follows:
wherein σ represents the horizontal stress to which the overhead line is subjected; ω represents the self weight of the overhead line per unit length, x represents the horizontal displacement from an arbitrary point on the overhead line to the origin of coordinates, and y represents the vertical displacement from an arbitrary point on the overhead line to the origin of coordinates.
3. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the calculation formulas of the horizontal stress sigma borne by the overhead line and the dead weight omega of the overhead line in unit length are respectively as follows:
wherein F is the comprehensive breaking force of the overhead line; g is the acceleration of gravity; s is the sectional area of the overhead line; and q is the mass of the overhead line per unit length.
4. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the calculation formula of the horizontal distance between the suspension point of the overhead line on the first tower and the lowest point of the overhead line sag is as follows:
wherein a represents the horizontal distance between a suspension point of an overhead line on a first tower and the lowest point of an overhead line sag, H represents the height difference between suspension points of the overhead line on the first tower and a second tower, l represents the span between the first tower and the second tower, and sigma represents the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length.
5. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the calculation formula of the actual length of the overhead line between the suspension points of the first tower and the second tower under the influence of the sag factors is as follows:
wherein y (x) represents a curve of an overhead line between adjacent first towers and adjacent second towers, L' represents the actual length of the overhead line between suspension points of the first towers and the second towers under the influence of sag factors, a represents the horizontal distance between the suspension point of the overhead line on the first tower and the sag lowest point of the overhead line, L represents the span between the first towers and the second towers, and sigma represents the horizontal stress borne by the overhead line; ω represents the overhead wire weight per unit length.
6. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the calculation formula of the variable quantity generated by the influence of the temperature on the length of the overhead line is as follows:
ΔL＝β(t-t0)L′
wherein, Δ L represents the amount of change in the overhead line length due to the temperature; β represents the expansion and contraction coefficient; t is t0Is the standard temperature and t represents the current temperature of the overhead line.
7. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the calculation formula of the actual length of the overhead line between the suspension points of the first tower and the second tower under the comprehensive influence of sag and temperature is as follows:
wherein L' represents the actual length of the overhead line between the suspension points of the first tower and the second tower under the influence of sag factors, Δ L represents the variation of the length of the overhead line caused by the influence of temperature, and β represents the expansion and contraction coefficients; t is t0Is a standard temperature, t represents the current temperature of the overhead line, a represents the horizontal distance from the suspension point of the overhead line on the first tower to the lowest point of the overhead line sag, l represents the gear between the first tower and the second towerThe distance, sigma, represents the horizontal stress to which the overhead line is subjected; ω represents the overhead wire weight per unit length.
8. The overhead line fault location method considering electrical distance compensation according to claim 1, wherein: the double-end traveling wave ranging formula is specifically as follows:
where v represents the propagation velocity of a traveling wave signal, tA、tBRepresents the time of arrival A, B point of the fault initial traveling wave signal, dA、dBThe actual distance between the fault point and the head end A and the tail end B of the line is respectively, and L is the actual length of the overhead line.
9. An overhead line fault location system that accounts for electrical distance compensation, comprising: comprising a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the steps of the method according to any one of claims 1 to 8.
10. A computer-readable storage medium having stored thereon a computer program, characterized in that: the program when executed by a processor implements the steps of the method of any one of claims 1 to 8.
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