Method for determining the induced voltage of a split conductor based on a broken sub-conductor
By constructing a geometric model and coupling equations, the electrostatic induced voltage after the split conductor breaks can be accurately calculated, which solves the problem of insufficient accuracy in calculating induced voltage in existing technologies and ensures the safety of live-line emergency repair operations.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- QINGYUAN POWER SUPPLY BUREAU OF GUANGDONG POWER GRID CO LTD
- Filing Date
- 2026-03-31
- Publication Date
- 2026-07-10
AI Technical Summary
Existing technologies fail to accurately consider the electrostatic coupling between conductors when calculating faults caused by broken wires, resulting in insufficient accuracy in calculating induced voltage and affecting the assessment of safe distances for live-line repair operations.
By obtaining the attribute parameters of the transmission line, a geometric model is constructed, the potential coefficient matrix is determined, and a coupling equation is constructed and solved to determine the electrostatic induced voltage of the broken line, thus accurately characterizing the electrostatic coupling strength between conductors and the relationship between voltage and charge.
This improved the accuracy of calculating the induced voltage of split conductors, ensured the accuracy of safety distance assessment for live-line repair operations, and reduced the threat to the personal safety of maintenance personnel.
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Figure CN122365778A_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of power system technology, and in particular to a method for determining the induced voltage of a split conductor based on a broken sub-conductor. Background Technology
[0002] In power transmission systems, especially high-voltage transmission systems with voltage levels of 500 kV and above, split conductor structures (such as two-split, four-split, six-split, or eight-split) are widely used to suppress corona discharge, reduce line inductance, and improve transmission capacity. In actual operation, due to severe weather conditions or mechanical damage, a single sub-conductor may break, and the broken sub-conductor will lose its electrical connection with the original phase conductor at the break point.
[0003] Existing methods for calculating induced voltage in split conductor breakage faults typically employ methods such as the "equivalent radius" or "geometric mean distance" approach, simplifying the calculation by treating the entire bundle of split conductors as a single, thick conductor. Alternatively, they directly deduct the electrical parameters of the broken sub-conductor and calculate the induced voltage based on an equivalent model of the remaining sub-conductor. The drawbacks of these methods are that they fail to consider the electrostatic coupling relationships between the related conductors and struggle to characterize the electric field distribution characteristics after the spatial position of the broken sub-conductor changes. This leads to inaccurate assessments of safe distances for live-line repair operations, seriously threatening the personal safety of maintenance personnel.
[0004] Therefore, there is an urgent need for a solution that can improve the accuracy of determining the induced voltage of the split conductor. Summary of the Invention
[0005] The method for determining the induced voltage of a split conductor based on the fracture of a sub-conductor provided in this application embodiment is used to improve the accuracy of determining the induced voltage of the split conductor.
[0006] In a first aspect, embodiments of this application provide a method for determining the induced voltage of a split conductor based on a broken sub-conductor, including:
[0007] Obtain the attribute parameters of the transmission line and construct a geometric model based on the attribute parameters; the attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the parameters of the broken line location. The conductor includes the ground wire, the broken sub-conductor, and the intact sub-conductor. The geometric model represents the actual spatial position of each conductor.
[0008] Based on the geometric model, the potential coefficient matrix is determined, and based on the potential coefficient matrix, the coupling equation is constructed; where the potential coefficient matrix represents the electrostatic coupling strength between each conductor, and the coupling equation represents the mathematical relationship between the voltage and charge of the conductor.
[0009] Solve the coupling equations to obtain the electrostatic induced voltage of the broken sub-conductor, and determine the induced voltage of its associated split conductor based on the electrostatic induced voltage of the broken sub-conductor.
[0010] Optionally, as described above, a geometric model is constructed based on the attribute parameters, including:
[0011] An initial model is constructed based on the structural parameters of the tower and the physical parameters of the conductors; the initial model represents the standard spatial position of each conductor under normal operating conditions.
[0012] Based on the broken line location parameters, the initial model is modified to obtain the geometric model.
[0013] Optionally, as described above, the initial model is modified based on the broken line location parameters to obtain a geometric model, including:
[0014] Based on the location parameters of the broken wire, the mechanical characteristic parameters of the broken sub-conductor are determined; among them, the mechanical characteristic parameters characterize the mechanical state of the broken sub-conductor after the loss of tension constraint.
[0015] Based on the preset mechanical deformation model, the displacement change of the broken sub-conductor is determined according to the mechanical characteristic parameters.
[0016] Based on the displacement change, the spatial position of the broken sub-conductor in the initial model is corrected to obtain the geometric model.
[0017] Optionally, as described above, the potential coefficient matrix is determined based on the geometric model, including:
[0018] Using the plane containing the ground in the geometric model as the mirror symmetry plane, determine the mirror position of each conductor in the geometric model;
[0019] For each conductor in the geometric model, determine the geometric distance between the spatial position of the conductor and the spatial positions of other conductors, and determine the mirror distance between the spatial position of the conductor and the mirror position of itself or other conductors;
[0020] The potential coefficient matrix is determined based on the equivalent radius, geometric distance, and mirror distance of each conductor.
[0021] Alternatively, as described above, the elements in the potential coefficient matrix are:
[0022] ;
[0023] in, This represents the element in the i-th row and j-th column of the potential coefficient matrix. This represents the dielectric constant of air; when j is not equal to i, This represents the mirror distance between the spatial position of the i-th conductor and the mirror position of the j-th conductor. This represents the geometric distance between the spatial positions of the i-th conductor and the j-th conductor; when j equals i, This represents the mirror distance between the spatial position of the i-th conductor and its mirror position. This represents the equivalent radius of the i-th conductor.
[0024] Optionally, as described above, a coupling equation is constructed based on the potential coefficient matrix, including:
[0025] Based on the operating state of each conductor, the conductors are divided into sets of conductors with known voltage and sets of conductors with unknown voltage. The set of conductors with known voltage includes intact sub-conductors and ground wires that represent the operating voltage, while the set of conductors with unknown voltage includes sub-conductors with broken wires that represent the electrostatic induction voltage to be solved.
[0026] Based on the known and unknown sets of voltage conductors, the potential coefficient matrix is divided into blocks to construct the coupling equation.
[0027] Alternatively, as described above, the coupling equations satisfy:
[0028] ;
[0029] in, Represents the voltage parameters of a known set of voltage conductors. The voltage parameters represent the set of unknown voltage conductors. Represents the charge parameter of a known voltage conductor set. The charge parameter represents the set of conductors with unknown voltage. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the submatrix of mutual potential coefficients between the known set of voltage conductors and the unknown set of voltage conductors. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a set of conductors with unknown voltages.
[0030] Optionally, as described above, the coupling equations are solved to obtain the electrostatic induced voltage of the broken sub-conductor, including:
[0031] Determine the electrical state of the broken sub-conductor and determine the boundary conditions based on the electrical state; wherein the electrical state is either a floating state or a grounded state.
[0032] Based on the boundary conditions, solve for the voltage parameters of the unknown voltage conductor set in the coupling equation, which is the electrostatic induced voltage of the broken sub-conductor.
[0033] Alternatively, as described above, the electrostatic induction voltage of the broken sub-conductor is:
[0034] ;
[0035] in, This represents the electrostatic induction voltage of the broken sub-conductor. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the voltage parameters of a known set of voltage conductors.
[0036] Optionally, as described above, the attribute parameters of the transmission line also include the load current parameter of the transmission line, and the induced voltage of the branch conductor to which the broken conductor belongs is determined based on the electrostatic induced voltage of the broken conductor, including:
[0037] The electromotive force (EMF) parameters are determined based on the load current parameters of the transmission line; the EMF parameters characterize the EMF induced by the alternating magnetic field along the longitudinal path of the broken conductor.
[0038] The electrostatic induced voltage and electromotive force parameters of the broken sub-conductor are vector-superimposed to obtain the comprehensive induced voltage of the broken sub-conductor.
[0039] The induced voltage of the branch conductor to which the broken conductor belongs is determined based on the combined induced voltage of the broken conductor.
[0040] Secondly, embodiments of this application provide a device for determining the induced voltage of a split conductor based on a broken sub-conductor, comprising:
[0041] The model building module is used to obtain the attribute parameters of the transmission line and build a geometric model based on the attribute parameters. The attribute parameters include the structural parameters of the tower, the physical parameters of the split conductor, and the parameters of the broken conductor location. The split conductor includes the broken sub-conductor and the intact sub-conductor. The geometric model represents the spatial position of the broken sub-conductor, the intact sub-conductor, and the ground wire.
[0042] The equation construction module is used to determine the potential coefficient matrix of each sub-conductor in the geometric model, and construct the coupling equation based on the potential coefficient matrix; where the potential coefficient matrix represents the electrostatic coupling strength between each sub-conductor, and the coupling equation represents the mathematical relationship between the voltage and charge of the sub-conductor;
[0043] The voltage determination module is used to solve the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor, and to determine the induced voltage of the split conductor to which it belongs based on the electrostatic induced voltage of the broken sub-conductor.
[0044] Thirdly, embodiments of this application provide an electronic device, including: a memory and a processor;
[0045] The memory stores instructions that the computer executes;
[0046] The processor executes computer execution instructions stored in memory, causing the processor to perform the first aspect and / or various possible implementations of the first aspect as described above.
[0047] Fourthly, embodiments of this application provide a computer-readable storage medium storing computer-executable instructions, which, when executed by a processor, are used to implement the first aspect and / or various possible implementations of the first aspect.
[0048] Fifthly, embodiments of this application provide a computer program product, including a computer program that, when executed by a processor, implements the first aspect and / or various possible implementations of the first aspect.
[0049] The method for determining the induced voltage of a split conductor based on a broken sub-conductor provided in this application embodiment obtains the attribute parameters of the transmission line, constructs a geometric model based on the attribute parameters, further determines the potential coefficient matrix based on the geometric model, constructs a coupling equation based on the potential coefficient matrix, and further obtains the electrostatic induced voltage of the broken sub-conductor by solving the coupling equation. Based on the electrostatic induced voltage of the broken sub-conductor, the induced voltage of the split conductor to which it belongs is determined. The attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the broken location parameters. The conductor includes the ground wire, the broken sub-conductor, and the intact sub-conductor. The geometric model represents the actual spatial position of each conductor, the potential coefficient matrix represents the electrostatic coupling strength between each conductor, and the coupling equation represents the mathematical relationship between the voltage and charge of the conductor. This application presents a method for determining the induced voltage of a split conductor based on a broken sub-conductor. By acquiring attribute parameters including the location of the break and constructing a geometric model, the spatial locations of the broken sub-conductor, intact sub-conductor, and ground wire are characterized. By determining the potential coefficient matrix, the electrostatic coupling strength between the conductors is quantified. By constructing and solving the coupling equation, the electrostatic induced voltage of the broken sub-conductor is effectively determined, thereby effectively determining the induced voltage of its associated split conductor. This method aims to improve the accuracy of determining the induced voltage of a split conductor. Attached Figure Description
[0050] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application.
[0051] Figure 1A schematic diagram illustrating a scenario where a sub-conductor of a split conductor is broken, as provided in this application;
[0052] Figure 2 A flowchart illustrating a method for determining the induced voltage of a split conductor based on a broken sub-conductor, as provided in this application. Figure 1 ;
[0053] Figure 3 A flowchart illustrating a method for determining the induced voltage of a split conductor based on a broken sub-conductor, as provided in this application. Figure 2 ;
[0054] Figure 4 A schematic diagram of the structure of a device for determining the induced voltage of a split conductor based on the fracture of a sub-conductor, provided in this application;
[0055] Figure 5 This is a schematic diagram of the structure of an electronic device provided in this application.
[0056] The accompanying drawings have illustrated specific embodiments of this application, which will be described in more detail below. These drawings and descriptions are not intended to limit the scope of the concept in any way, but rather to illustrate the concept of this application to those skilled in the art through reference to specific embodiments. Detailed Implementation
[0057] Exemplary embodiments will now be described in detail, examples of which are illustrated in the accompanying drawings. When the following description relates to the drawings, unless otherwise indicated, the same numbers in different drawings denote the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with this application. Rather, they are merely examples of apparatuses and methods consistent with some aspects of this application as detailed in the appended claims.
[0058] It should be noted that the method for determining the induced voltage of a split conductor based on the fracture of a sub-conductor in this application can be used in the field of power system technology, or in any field other than the field of power system technology. The application field of the method for determining the induced voltage of a split conductor based on the fracture of a sub-conductor in this application is not limited.
[0059] In power transmission systems, especially in high-voltage transmission systems with voltage levels of 500 kV and above, split conductor structures (such as two-split, four-split, six-split, or eight-split) are widely used to suppress corona discharge, reduce line inductance, and improve transmission capacity.
[0060] Figure 1 This application provides a schematic diagram illustrating a scenario where a sub-conductor of a split conductor is broken, as shown below. Figure 1As shown, in this scenario, taking a four-split split conductor structure as an example, the four sub-conductors of the split conductor are arranged in a square within the same cross-section based on spacers. The split conductors are suspended on the crossarm of the tower by insulator strings and erected on the ground, together with other phase conductors and overhead ground wires to form a transmission line system.
[0061] In actual operation, due to severe weather conditions or mechanical damage, the following may occur: Figure 1 The fault shown is a single broken sub-conductor. After the break, the sub-conductor is no longer electrically connected to the original phase conductor at the break point.
[0062] For example, the following describes a specific scenario of a broken sub-conductor in a split-conductor system. In this scenario, the phase conductors in the transmission system employ a four-split conductor structure, such as LGJ-630 / 45 steel-cored aluminum stranded wire. The four sub-conductors are arranged in a square pattern within their cross-section, with a split spacing of 450 mm. Assume the fault occurs on the A-phase conductor of the double-circuit line on the same tower, specifically, a sub-conductor located in the upper right corner of the A-phase conductor bundle mechanically breaks at the midpoint of the span between two adjacent towers. After the breakage, this sub-conductor loses its electrical connection to the original equalizing ring, spacer, and other hardware, and no grounding path is formed, thus placing it in a suspended insulation state.
[0063] During normal operation, the individual conductors within the same phase are electrically connected together through spacers and equalizing rings, and have the same potential. When calculating line parameters and spatial electric field parameters, the "equivalent radius" or "geometric mean distance" method is usually used to treat the entire bundle of split conductors as a single thick conductor.
[0064] However, when a fault occurs where a single sub-conductor breaks, the broken sub-conductor is no longer electrically connected to the original phase conductor at the break point. This indicates that the broken sub-conductor is in a state of suspension in the air (or in a state of single-end grounding). Its potential is no longer equal to the operating phase voltage, but is jointly determined by the electrostatic induction voltage generated by other intact conductors through capacitive coupling and the electromagnetic induction voltage generated by the load current.
[0065] It can be seen that existing methods such as the "equivalent radius" or "geometric mean distance" method, or methods that directly deduct the electrical parameters of the broken sub-conductor and calculate the induced voltage based on the equivalent model of the remaining sub-conductor, fail to consider the electrostatic coupling relationship between the broken sub-conductor and the intact sub-conductor and the ground wire. They also fail to characterize the electric field distribution characteristics after the spatial position of the broken sub-conductor changes. This leads to inaccurate assessments of the safe distance for live-line repair operations, seriously threatening the personal safety of maintenance personnel. Therefore, there is an urgent need for a solution that can improve the accuracy of determining the induced voltage of split conductors.
[0066] This application presents a method for determining the induced voltage of a split conductor based on a broken sub-conductor. This method acquires attribute parameters including the location of the break and constructs a geometric model to characterize the spatial positions of the broken sub-conductor, intact sub-conductor, and ground wire. By determining the potential coefficient matrix of each sub-conductor, the electrostatic coupling strength between them is quantified. Finally, by constructing and solving the coupling equation, the electrostatic induced voltage of the broken sub-conductor is effectively determined. This method aims to improve the accuracy of determining the induced voltage of a split conductor.
[0067] The technical solution of this application and how the technical solution of this application solves the above-mentioned technical problems are described in detail below with specific embodiments. These specific embodiments can be combined with each other, and the same or similar concepts or processes may not be described again in some embodiments. The embodiments of this application will now be described with reference to the accompanying drawings.
[0068] Figure 2 A flowchart illustrating a method for determining the induced voltage of a split conductor based on a broken sub-conductor, as provided in this application. Figure 1 The execution subject of this method can be a computer device, a server, or other devices, such as... Figure 2 As shown, the method includes:
[0069] S201. Obtain the attribute parameters of the transmission line and construct a geometric model based on the attribute parameters; wherein, the attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the parameters of the broken line location. The conductor includes the ground wire, the broken sub-conductor, and the intact sub-conductor. The geometric model represents the actual spatial position of each conductor.
[0070] S202. Based on the geometric model, determine the potential coefficient matrix, and construct the coupling equation based on the potential coefficient matrix; whereby the potential coefficient matrix characterizes the electrostatic coupling strength between each conductor, and the coupling equation characterizes the mathematical relationship between the voltage and charge of the conductor.
[0071] S203. Solve the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor, and determine the induced voltage of its associated split conductor based on the electrostatic induced voltage of the broken sub-conductor.
[0072] In step S201, the transmission line can refer to an overhead transmission line, such as a double-circuit or multi-circuit transmission line on the same tower with a voltage level of 500 kV or above. The attribute parameters of the transmission line can refer to the basic data used to describe the physical structure and operating status of the transmission line, which may include the structural parameters of the tower, the physical parameters of the split conductors, and the parameters of the location of the broken line.
[0073] The structural parameters of a tower can refer to the geometric dimensions of the tower used to determine the spatial installation positions of conductors and ground wires. For example, the structural parameters of a tower may include, but are not limited to, the nominal height of the tower, the length of the crossarm, the length of the insulator string, and the phase sequence arrangement.
[0074] The physical parameters of a conductor can refer to parameters used to describe the electrical and mechanical characteristics of split conductors and ground wires. For example, the physical parameters of a conductor may include, but are not limited to, the conductor type, number of splits (e.g., two-split, four-split, six-split, or eight-split), split spacing (e.g., 450 mm), mass per unit length of sub-conductors, equivalent radius of sub-conductors, and the type and equivalent radius of ground wires. Split conductors include broken sub-conductors and intact sub-conductors. A broken sub-conductor is one that has mechanically broken and lost electrical connection with the original phase conductor, while an intact sub-conductor is one that maintains normal operating conditions.
[0075] The breakage location parameter can refer to the parameter used to determine the spatial location of the broken sub-conductor. For example, the breakage location parameter can include, but is not limited to, the sub-conductor number where the breakage occurred (e.g., the sub-conductor at the upper right corner of phase A), the breakage location (e.g., the midpoint of the span or a specific span percentage position), the spatial coordinates of the sub-conductor after the breakage, or the mechanical parameters used to calculate the coordinates.
[0076] It should be understood that the attribute parameters of transmission lines can be obtained through relevant design documents, on-site measurement and collection, or historical operation data. No restrictions are placed on the specific methods for obtaining the attribute parameters of transmission lines.
[0077] A geometric model can refer to a mathematical model that describes the spatial relationships of conductors in a transmission line in three-dimensional coordinates. It should be understood that constructing a geometric model requires determining the spatial coordinates of each conductor individually. For intact sub-conductors and ground wires, their coordinates are determined according to their designed installation locations and tower structural parameters; for broken sub-conductors, their actual spatial coordinates are determined based on the break location parameters.
[0078] In step S202, the potential coefficient matrix can refer to a mathematical matrix used to quantify the electrostatic coupling relationship between conductors in a multi-conductor system. Preferably, the potential coefficient matrix can be a Maxwell potential coefficient matrix, constructed based on the method of images principle. By treating the ground as an ideal conductive plane, mirror conductors of each conductor are generated at symmetrical positions below the ground, and the elements of the matrix are calculated using the geometric distance between the conductors and their mirror distances. It should be understood that each sub-conductor and ground wire in the geometric model participates in the construction of the potential coefficient matrix as an independent conductor unit, and n conductors correspond to an n×n order potential coefficient matrix.
[0079] Coupled equations can refer to a set of linear equations relating voltage and charge in a multi-conductor system, based on the potential coefficient matrix. These equations conform to the fundamental form of Maxwell's electromagnetic theory and describe the linear mapping between charge distribution and potential distribution in a conductor within an electrostatic field.
[0080] It is understandable that by treating the ground wire, broken sub-conductor, and intact sub-conductor as independent conductor units, the potential coefficient matrix can accurately characterize the electrostatic coupling strength between each conductor, overcoming the defect of the traditional equivalent model that cannot reflect the independent coupling relationship of a single sub-conductor.
[0081] In step S203, the electrostatic induction voltage can refer to the ground potential generated by a conductor in a suspended or insulated state under the action of the electric field of the surrounding charged conductors. The electrostatic induction voltage of the broken sub-conductor can refer to the ground voltage generated by the broken sub-conductor due to the capacitive coupling between it and the intact sub-conductor and the ground wire.
[0082] For example, solving the coupling equations can be done by dividing each conductor into a set of known voltage conductors and a set of unknown voltage conductors, dividing the potential coefficient matrix, voltage vector, and charge vector into corresponding blocks, introducing the charge boundary condition of the broken sub-conductor, and solving the set of unknown voltage conductors through matrix operations to obtain the electrostatic induced voltage of the broken sub-conductor. It should be understood that intact sub-conductors carry the power frequency operating voltage, and the ground wire is at zero potential; both can be classified into the set of known voltage conductors. The broken sub-conductor is in a suspended state, and its voltage is unknown; it can be classified into the set of unknown voltage conductors. By setting the boundary condition that the net charge of the broken sub-conductor is zero, solving the system of linear equations simultaneously yields the electrostatic induced voltage of the broken sub-conductor. The electrostatic induced voltage of the broken sub-conductor is used to determine the induced voltage of the split conductor after the sub-conductor breaks.
[0083] Furthermore, the induced voltage of the split conductor to which the broken conductor belongs can be determined based on the electrostatic induced voltage of the broken conductor.
[0084] For example, the electrostatic induced voltage of the broken sub-conductor can be used as a representative value of the induced voltage of the split conductor after the breakage of the sub-conductor, to assess the ground potential level of the split conductor under the fault condition of the broken conductor; or, the electrostatic induced voltage of the broken sub-conductor can be combined with the operating phase voltage of the intact sub-conductor to comprehensively assess the overall potential distribution characteristics of the split conductor. It should be understood that the broken sub-conductor and the intact sub-conductor are electrically disconnected and have different potentials. The induced voltage of the split conductor needs to consider the potential state of each sub-conductor separately. The electrostatic induced voltage of the broken sub-conductor reflects the ground potential of the sub-conductor in a suspended state and is a key parameter for assessing the safe distance for live-line repair operations, while the operating phase voltage of the intact sub-conductor reflects the energized state of the main body of the split conductor. No specific restrictions are placed on how to determine the induced voltage of the split conductor to which it belongs.
[0085] This application presents a method for determining the induced voltage of a split conductor based on a broken sub-conductor. By acquiring attribute parameters including the location of the break and constructing a geometric model, the spatial locations of the broken sub-conductor, intact sub-conductor, and ground wire are characterized. By determining the potential coefficient matrix, the electrostatic coupling strength between the conductors is quantified. By constructing and solving the coupling equation, the electrostatic induced voltage of the broken sub-conductor is effectively determined, thereby effectively determining the induced voltage of its associated split conductor. This method aims to improve the accuracy of determining the induced voltage of a split conductor.
[0086] Figure 3 A flowchart illustrating a method for determining the induced voltage of a split conductor based on a broken sub-conductor, as provided in this application. Figure 2 ,like Figure 3 As shown, in this embodiment... Figure 2 Based on the embodiments, a method for determining the induced voltage of a split conductor based on the fracture of a sub-conductor is described in detail. The method includes:
[0087] S301. Obtain the attribute parameters of the transmission line; wherein, the attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the parameters of the broken line location. The conductor includes the ground wire, the broken sub-conductor, and the intact sub-conductor.
[0088] S302. Based on the structural parameters of the tower and the physical parameters of the split conductors, construct an initial model; wherein, the initial model represents the standard spatial position of each conductor under normal operating conditions.
[0089] The initial model can refer to an ideal geometric model established based on the structural parameters of the towers and the physical parameters of the conductors in the attribute parameters of the transmission line. This model assumes that all conductors are in standard installation positions and does not consider the positional deviation caused by line breakage faults.
[0090] For example, the initial model can be constructed by determining the suspension point coordinates of the split conductors based on the tower's nominal height, crossarm length, and insulator string length; calculating the relative position of each sub-conductor within the cross-section based on the split spacing and number of splits; and determining the spatial coordinates of the three-phase conductors and ground wire by combining the phase sequence arrangement, thereby establishing a multi-conductor geometric model in a three-dimensional coordinate system, which serves as the initial model.
[0091] It should be understood that the initial model reflects the design geometry of the transmission line under normal operating conditions. At this time, the sub-conductors in the same phase are electrically connected together by spacers and equalizing rings, have the same potential, and their spatial positions are regularly symmetrically distributed.
[0092] S303. Based on the broken wire location parameters, the initial model is modified to obtain a geometric model; wherein, the geometric model represents the actual spatial location of the broken sub-conductor, the intact sub-conductor, and the ground wire.
[0093] It is understandable that after the broken sub-conductor loses its original tension constraint, its spatial position will change significantly. It is necessary to correct the standard spatial position of the broken sub-conductor in the initial model to reflect the actual geometric relationship after the breakage fault and ensure the accuracy of subsequent potential coefficient calculations.
[0094] In an optional implementation, step S303 may include:
[0095] S3031. Based on the broken wire location parameters, determine the mechanical characteristic parameters of the broken sub-conductor; wherein, the mechanical characteristic parameters characterize the mechanical state of the broken sub-conductor after losing its tension constraint.
[0096] S3032. Based on the preset mechanical deformation model, determine the displacement change of the broken sub-conductor according to the mechanical characteristic parameters.
[0097] S3033. Based on the displacement change, correct the spatial position of the broken sub-conductor in the initial model to obtain the geometric model.
[0098] Among them, the mechanical characteristic parameters of the broken sub-conductor can refer to physical quantities used to describe the mechanical state of the broken sub-conductor after the break. For example, the mechanical characteristic parameters of the broken sub-conductor may include, but are not limited to, parameters such as the mass per unit length and the span length of the broken sub-conductor.
[0099] The pre-defined mechanical deformation model can refer to a mathematical model used to calculate the spatial shape change of a flexible conductor under gravity. For example, the pre-defined mechanical deformation model can be a catenary equation model or its parabolic approximation model, which describes the sag curve of the conductor under its own weight based on the mechanical equilibrium conditions of the conductor.
[0100] The displacement change of a broken sub-conductor can refer to the offset vector of the broken sub-conductor relative to its standard spatial position in the initial model. For example, the displacement change of a broken sub-conductor can include a vertical sag and a horizontal offset, which are used to determine the actual spatial coordinates of the broken sub-conductor after the break.
[0101] In one possible implementation, the influence of environmental wind load can also be considered to further correct the horizontal displacement of the sub-conductor after the breakage (for example, the wind deflection angle is calculated based on wind speed, wind direction and sub-conductor wind load coefficient, and the wind deflection angle is converted into an additional horizontal offset, which is then added to the original horizontal displacement) to more accurately reflect the spatial position of the broken sub-conductor under actual environmental conditions, thereby improving the realism of the geometric model and the accuracy of subsequent induced voltage calculations.
[0102] Furthermore, the spatial position of the broken sub-conductor in the initial model is superimposed with the displacement change and then subjected to coordinate transformation so that the spatial position of the broken sub-conductor in the geometric model conforms to the actual mechanical state after the break.
[0103] It should be understood that for intact sub-conductors and ground wires, their spatial positions in the geometric model remain consistent with the initial model; only the spatial positions of broken sub-conductors are corrected to establish an asymmetric multi-conductor spatial model under the fault state of broken wires, that is, a geometric model used to determine the potential coefficient matrix of each sub-conductor.
[0104] It is understandable that by introducing a mechanical deformation model to determine the displacement change of the broken sub-conductor, the spatial position of the broken sub-conductor in the initial model can be corrected to obtain a geometric model. This allows for the establishment of a multi-conductor model that reflects the asymmetric geometric relationship after the break, thereby improving the calculation accuracy of capacitive coupling parameters.
[0105] It is understandable that by constructing an initial model based on the tower structure parameters and the physical parameters of the split conductors, and then correcting the spatial coordinates of the broken sub-conductors to obtain a geometric model, accurate geometric data can be provided for the precise determination of the potential coefficient matrix.
[0106] S304. Based on the geometric model, determine the potential coefficient matrix; whereby the potential coefficient matrix characterizes the electrostatic coupling strength between each conductor.
[0107] In an optional implementation, step S304 may include:
[0108] S3041. Using the plane where the ground is located in the geometric model as the mirror symmetry plane, determine the mirror position of each conductor in the geometric model;
[0109] S3042. For each conductor in the geometric model, determine the geometric distance between the spatial position of the conductor and the spatial position of other sub-conductors, and determine the mirror distance between the spatial position of the conductor and the mirror position of itself or other conductors.
[0110] S3043. Determine the potential coefficient matrix based on the equivalent radius of each conductor, each geometric distance, and each mirror distance.
[0111] The mirror position of each conductor can refer to the spatial coordinates of the virtual mirror conductor set at the symmetrical position of the real conductor relative to the symmetrical plane with the plane where the ground is located as the symmetrical plane.
[0112] The geometric distance between the spatial positions of a sub-conductor and other sub-conductors can refer to the straight-line distance between the actual spatial coordinates of the two sub-conductors, reflecting the actual physical spacing between conductors; the mirror distance between the spatial position of a sub-conductor and its own or other sub-conductors can refer to the straight-line distance between the spatial coordinates of the real sub-conductor and the mirror conductor, reflecting the distance of the equivalent electric field source in the method of mirrors.
[0113] The equivalent radius of a conductor can refer to the equivalent radius that characterizes the equivalent capacitance of a sub-conductor or ground wire. For example, for a sub-conductor, the equivalent radius can be determined based on the number of splits in the split conductor, the actual radius of the sub-conductor, and the split spacing. For a ground wire, the equivalent radius can be directly determined using the actual radius of the ground wire.
[0114] Furthermore, based on the equivalent radius, geometric distance, and mirror distance of each sub-conductor, the potential coefficient matrix of each sub-conductor in the geometric model can be determined. It should be understood that there is one potential coefficient matrix corresponding to each geometric model, and the potential coefficient matrix is an n×n square matrix (n is the total number of conductors in the geometric model; for example, the conductors may include all sub-conductors and the ground wire). The elements in the potential coefficient matrix represent the electrostatic coupling relationship between the conductors.
[0115] In one optional implementation, the elements in the potential coefficient matrix are:
[0116] ;
[0117] in, This represents the element in the i-th row and j-th column of the potential coefficient matrix. This represents the dielectric constant of air; when j is not equal to i, This represents the mirror distance between the spatial position of the i-th conductor and the mirror position of the j-th conductor. This represents the geometric distance between the spatial positions of the i-th sub-conductor and the j-th conductor; when j equals i, This represents the mirror distance between the i-th conductor and its mirror image position. This represents the equivalent radius of the i-th conductor.
[0118] It is understandable that by calculating the geometric distance and mirror distance between each conductor based on the principle of the mirror method, and constructing a potential coefficient matrix in combination with the equivalent radius of the conductor, the potential coefficient matrix can be determined. This can quantify the electrostatic coupling strength between the broken sub-conductor and the intact sub-conductor and the ground wire, thus overcoming the defect that the traditional equivalent model cannot reflect the independent coupling relationship of a single sub-conductor and improving the accuracy of determining the induced voltage of the split conductor.
[0119] S305. Based on the potential coefficient matrix, construct the coupling equation; where the coupling equation characterizes the mathematical relationship between the voltage and charge of the conductor.
[0120] In one alternative implementation, step S305 may include:
[0121] S3051. Based on the operating state of each conductor, the conductors are divided into a set of conductors with known voltage and a set of conductors with unknown voltage. The set of conductors with known voltage includes intact sub-conductors and ground wires that represent the operating voltage. The set of conductors with unknown voltage includes sub-conductors with broken wires that represent the electrostatic induction voltage to be solved.
[0122] S3052. Based on the known set of voltage conductors and the unknown set of voltage conductors, the potential coefficient matrix is divided into blocks to construct the coupling equation.
[0123] The operating state of the conductors can guide the electrical connection status and voltage determination of the conductors in the transmission line. For example, a healthy sub-conductor is electrically connected to the phase conductor through spacers and equipotential rings, carrying a defined power frequency phase voltage; the ground wire is grounded through a tower, and its potential is determined to be zero; a broken sub-conductor is disconnected from the electrical connection at the break point, and is in a suspended or grounded state, with its voltage to be determined. In one possible implementation, the geometric model is a simulation model used to simulate the operation of the transmission line. The operating state of the conductors can be determined through the attribute identifiers and electrical connection relationships of each conductor in the geometric model.
[0124] The set of known voltage conductors represents a set of conductors with known voltage parameters. Elements in the set of known voltage conductors represent the operating phase voltage of an intact sub-conductor and the zero potential of the ground wire. The set of unknown voltage conductors represents a set of conductors with unknown voltage parameters. Elements in the set of unknown voltage conductors represent the electrostatic induced voltage of a broken sub-conductor. This electrostatic induced voltage is generated by the electric field coupling of surrounding charged conductors and needs to be calculated through coupling equations.
[0125] Furthermore, the potential coefficient matrix can be divided into blocks. Based on the number and arrangement order of conductors in the known and unknown voltage conductor sets, the n×n potential coefficient matrix can be divided into four sub-matrices: the self-potential coefficient sub-matrix corresponding to the known voltage conductor set, the self-potential coefficient sub-matrix corresponding to the unknown voltage conductor set, and two sets of mutual potential coefficient sub-matrices. The electrostatic coupling information of the original matrix remains unchanged, only the organization of the matrix is changed, thus obtaining the coupling equation.
[0126] In one alternative implementation, the coupling equations satisfy:
[0127] ;
[0128] in, Represents the voltage parameters of a known set of voltage conductors. The voltage parameters represent the set of unknown voltage conductors. Represents the charge parameter of a known voltage conductor set. The charge parameter represents the set of conductors with unknown voltage. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the submatrix of mutual potential coefficients between the known set of voltage conductors and the unknown set of voltage conductors. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a set of conductors with unknown voltages.
[0129] Specifically, It can be an m×1 dimensional vector, where m is the number of conductors in the known set of voltage conductors. It can be a b×1 dimensional vector, where b is the number of conductors in the set of unknown voltage conductors (preferably, b is 1, representing a single sub-conductor break). Let be the electrostatic induced voltage to be solved; It can be an m×1 dimensional vector, whose elements are the surface charge of a known voltage conductor; It can be a b×1 dimensional vector, whose elements are the surface charge of the broken sub-wires.
[0130] Correspondingly, the self-potential coefficient submatrix (m×m dimension) Characterizes the electrostatic coupling between conductors within a set of known voltage conductors, and is the submatrix of self-potential coefficients. (b×b dimensional) Characterizes the self-capacitance properties of a set of conductors with unknown voltage (disconnected sub-conductors), and the mutual potential coefficient sub-matrix. (m×b dimension) and (b×m dimension) represents the electric field coupling relationship between a known set of voltage conductors and an unknown set of voltage conductors, and satisfies This reflects the reciprocal nature of electrostatic coupling.
[0131] It is understandable that by dividing the conductor into a set of conductors with known voltage and a set of conductors with unknown voltage according to the operating state, and then dividing the potential coefficient matrix into blocks to construct the coupling equation, a general solution framework applicable to different boundary conditions can be established. This decouples high-order complex problems into tractable low-order subsystems, maintains the integrity of electrostatic coupling information, and provides a mathematical basis for the accurate calculation of the induced voltage of the broken sub-conductor, realizing non-iterative direct solution and improving computational efficiency and numerical stability.
[0132] S306. Solve the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor.
[0133] In one alternative implementation, solving the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor may include:
[0134] S3061. Determine the electrical state of the broken sub-conductor and determine the boundary conditions based on the electrical state; wherein the electrical state is either a floating state or a grounded state.
[0135] S3062. Based on the boundary conditions, solve for the voltage parameters of the unknown voltage conductor set in the coupling equation, which is the electrostatic induced voltage of the broken sub-conductor.
[0136] Among them, the electrical state of the broken sub-conductor can be either a floating state or a grounded state. The floating state can refer to the fact that after the broken sub-conductor is disconnected from the electrical connection at the break point, it does not form a grounding path and is in a suspended state with insulation isolation. Its surface net charge is zero and its potential is determined by the coupling of the surrounding electric field. The grounded state can refer to the fact that after the broken sub-conductor is disconnected from the electrical connection at the break point, it forms a single-end ground through a pole, the ground or other paths, and its potential is clamped to zero.
[0137] Boundary conditions can refer to mathematical constraints set based on the electrical state of the broken sub-conductors, used to transform underdetermined coupled equations into a solvable set of deterministic equations.
[0138] It should be understood that setting corresponding boundary conditions for different electrical states of the broken conductor makes the calculation method more adaptable to engineering applications. For example, boundary conditions are set for the common operating condition where the broken conductor is in a suspended state. When the net charge on the surface of the broken conductor is zero, the electrostatic induction voltage of the broken conductor is determined only by the voltage and mutual potential coefficient of the surrounding intact conductors, and is independent of the self-potential coefficient of the broken conductor itself.
[0139] It is understandable that the electrostatic induction voltage of the broken conductor reflects the potential level of the conductor to ground under a specific electrical condition. This voltage value is a key parameter for assessing the energized state of the split conductor after a broken conductor fault and determining the safe distance for live repairs.
[0140] In one alternative implementation, the electrostatic induction voltage of the broken sub-conductor can be:
[0141] ;
[0142] in, This represents the electrostatic induction voltage of the broken sub-conductor. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the voltage parameters of a known set of voltage conductors.
[0143] It should be understood that the above analytical expression directly obtains the unknown voltage through matrix operations, without iterative calculations, thus exhibiting high computational efficiency and numerical stability; this formula applies to the suspended state with the following boundary conditions: It was established.
[0144] It is understandable that by setting the corresponding charge or potential boundary conditions based on the electrical state of the broken sub-conductor, and then solving for the electrostatic induced voltage of the broken sub-conductor, an induced voltage value that conforms to the actual physical state can be obtained. This provides accurate data for assessing the safe distance for live-line emergency repair operations, thereby ensuring the personal safety of maintenance personnel and improving the engineering applicability of the induced voltage determination.
[0145] In one optional implementation, the attribute parameters of the transmission line further include the load current parameter of the transmission line, and the induced voltage of the branch conductor to which the broken conductor belongs is determined based on the electrostatic induced voltage of the broken branch conductor, including:
[0146] S307. Determine the electromotive force (EMF) parameters based on the load current parameters of the transmission line; wherein, the EMF parameters characterize the EMF induced by the alternating magnetic field on the longitudinal path of the broken sub-conductor.
[0147] Among them, the load current parameter refers to the power frequency current value flowing in each phase conductor when the transmission line is operating normally, including current amplitude and phase information. This parameter reflects the load level of the transmission line and the intensity of the electromagnetic field excitation source.
[0148] The electromotive force parameter can refer to the longitudinal induced electromotive force formed by the alternating magnetic field along the longitudinal path of the broken conductor. This parameter can also be understood as electromagnetic induced electromotive force. Its magnitude is related to the load current, mutual inductance impedance and the length of the broken conductor, and its direction has a phase difference with the electrostatic induced voltage.
[0149] For example, the electromotive force (EMF) parameters can be determined by calculating the mutual inductance between each current-carrying conductor and the broken sub-conductor using the Carson theory or complex mutual impedance model based on the load current parameters, multiplying each phase load current by the corresponding mutual inductance and integrating along the longitudinal path of the broken sub-conductor to obtain the longitudinal EMF induced by the alternating magnetic field on the broken sub-conductor, which is the EMF parameter.
[0150] It is understandable that by introducing load current parameters, the electromagnetic induction component can be calculated, making the induced voltage calculation results more complete and fully reflecting the combined effect of electrostatic coupling and electromagnetic coupling.
[0151] S308. The electrostatic induced voltage and electromotive force parameters of the broken sub-conductor are vector-superimposed to obtain the comprehensive induced voltage of the broken sub-conductor.
[0152] Specifically, the electrostatic induced voltage and the electromagnetic induced electromotive force differ in phase. By vector superposition, a more accurate comprehensive induced voltage effective value and phase information that conforms to engineering practice can be obtained.
[0153] For example, the phasor of electrostatic induced voltage and the phasor of electromagnetic induced electromotive force are vector superimposed in the complex domain, and the magnitude of the synthesized result is the effective value of the total induced voltage of the broken conductor to ground. The phase information can be used to evaluate the phase relationship between the induced voltage and the operating voltage.
[0154] S309. Determine the induced voltage of the split conductor to which the broken conductor belongs based on the combined induced voltage of the broken conductor.
[0155] It should be understood that the composite induced voltage takes into account the combined effects of electrostatic coupling and electromagnetic coupling, and is more reflective of the actual charged state of the broken sub-conductor than the electrostatic induced voltage alone. In engineering applications, the electrostatic induced voltage or the composite induced voltage can be selected as the representative value of the induced voltage of the split conductor according to the safety assessment requirements.
[0156] For example, the comprehensive induced voltage can be used as a representative value of the induced voltage of the split conductor after the broken conductor is broken, in order to assess the ground potential level of the split conductor under the fault state of the broken conductor, which can guide the determination of the safe distance for live-line repair operations.
[0157] It is understandable that by vector superimposing the electrostatic induced voltage and the electromagnetic induced electromotive force, a comprehensive induced voltage is obtained. The comprehensive induced voltage is used to evaluate the effective value and phase of the total induced voltage of the broken conductor to ground, which fully reflects the combined effect of electrostatic coupling and electromagnetic coupling. This can further improve the accuracy and engineering applicability of the induced voltage determination, provide a more reliable safety assessment basis for live-line emergency repair operations, and thus effectively protect the personal safety of maintenance personnel and reduce the operational risks under the fault state of the broken line.
[0158] The method for determining the induced voltage of a split conductor based on a broken sub-conductor in this embodiment, in Figure 2 Based on the previous embodiments, on the one hand, by introducing a mechanical deformation model to correct the spatial position of the broken sub-conductor, a multi-conductor model reflecting the asymmetric geometric relationship after the breakage is established, improving the calculation accuracy of the capacitive coupling parameters. On the other hand, by introducing matrix partitioning techniques and boundary conditions to solve the coupling equations, the accurate electrostatic induced voltage of the broken sub-conductor is obtained, realizing the non-iterative direct solution of the induced voltage of the broken sub-conductor. The method of this application is used to improve the accuracy of determining the induced voltage of the split conductor.
[0159] Figure 4 A schematic diagram of a device for determining the induced voltage of a split conductor based on a broken sub-conductor, provided in this application, is shown below. Figure 4 As shown, the induced voltage determination device 40 based on the fracture of the sub-conductor provided in this embodiment includes: a model building module 401, an equation building module 402, and a voltage determination module 403.
[0160] The model building module 401 is used to obtain the attribute parameters of the transmission line and build a geometric model based on the attribute parameters. The attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the parameters of the broken line location. The conductor includes the ground wire, the broken sub-conductor, and the intact sub-conductor. The geometric model represents the actual spatial position of each conductor.
[0161] The equation construction module 402 is used to determine the potential coefficient matrix based on the geometric model and to construct the coupling equation based on the potential coefficient matrix; wherein, the potential coefficient matrix represents the electrostatic coupling strength between each conductor, and the coupling equation represents the mathematical relationship between the voltage and charge of the conductor;
[0162] The voltage determination module 403 is used to solve the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor, and to determine the induced voltage of the split conductor to which it belongs based on the electrostatic induced voltage of the broken sub-conductor.
[0163] In an optional example, the model building module 401 is also used to build an initial model based on the structural parameters of the tower and the physical parameters of the conductor; wherein the initial model represents the standard spatial position of each conductor under normal operating conditions; and the initial model is modified based on the broken wire position parameters to obtain a geometric model.
[0164] In an optional example, the model building module 401 is further configured to determine the mechanical characteristic parameters of the broken sub-conductor based on the broken wire location parameters; wherein, the mechanical characteristic parameters characterize the mechanical state of the broken sub-conductor after losing tension constraint; based on a preset mechanical deformation model, determine the displacement change of the broken sub-conductor according to the mechanical characteristic parameters; and correct the spatial position of the broken sub-conductor in the initial model according to the displacement change to obtain a geometric model.
[0165] In an optional example, the equation building module 402 is further configured to determine the mirror position of each conductor in the geometric model, with the plane containing the ground in the geometric model as the mirror symmetry plane; for each conductor in the geometric model, determine the geometric distance between the spatial position of the conductor and the spatial position of other sub-conductors, and determine the mirror distance between the spatial position of the conductor and the mirror position of itself or other conductors; and determine the potential coefficient matrix based on the equivalent radius of each conductor, each geometric distance and each mirror distance.
[0166] In an optional example, the elements in the potential coefficient matrix are:
[0167] ;
[0168] in, This represents the element in the i-th row and j-th column of the potential coefficient matrix. This represents the dielectric constant of air; when j is not equal to i, This represents the mirror distance between the spatial position of the i-th conductor and the mirror position of the j-th conductor. This represents the geometric distance between the spatial positions of the i-th conductor and the j-th conductor; when j equals i, This represents the mirror distance between the i-th conductor and its mirror image position. This represents the equivalent radius of the i-th conductor.
[0169] In an optional example, the equation construction module 402 is further configured to divide each conductor according to its operating state to obtain a set of known voltage conductors and a set of unknown voltage conductors; wherein, the set of known voltage conductors includes intact sub-conductors and ground wires that represent the operating voltages that have been determined, and the set of unknown voltage conductors includes sub-conductors that represent the broken wires that represent the electrostatic induction voltages to be solved; based on the set of known voltage conductors and the set of unknown voltage conductors, the potential coefficient matrix is divided into blocks to construct the coupled equations.
[0170] In an optional example, the coupling equations satisfy:
[0171] ;
[0172] in, Represents the voltage parameters of a known set of voltage conductors. The voltage parameters represent the set of unknown voltage conductors. Represents the charge parameter of a known voltage conductor set. The charge parameter represents the set of conductors with unknown voltage. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the submatrix of mutual potential coefficients between the known set of voltage conductors and the unknown set of voltage conductors. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a set of conductors with unknown voltages.
[0173] In an optional example, the voltage determination module 403 is further configured to determine the electrical state of the disconnected sub-conductor and, based on the electrical state, determine the boundary conditions; wherein the electrical state is either a floating state or a grounded state; and, based on the boundary conditions, solve for the voltage parameters of the unknown voltage conductor set in the coupling equation, which is the electrostatic induced voltage of the disconnected sub-conductor.
[0174] In an optional example, the electrostatic induction voltage of the broken sub-conductor is:
[0175] ;
[0176] in, This represents the electrostatic induction voltage of the broken sub-conductor. This represents the submatrix of mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors. This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the voltage parameters of a known set of voltage conductors.
[0177] In an optional example, the attribute parameters of the transmission line also include the load current parameter of the transmission line. The voltage determination module 403 is also used to determine the electromotive force parameter based on the load current parameter of the transmission line. The electromotive force parameter characterizes the electromotive force induced by the alternating magnetic field on the longitudinal path of the broken sub-conductor. The electrostatic induced voltage of the broken sub-conductor and the electromotive force parameter are vector-superimposed to obtain the comprehensive induced voltage of the broken sub-conductor. Based on the comprehensive induced voltage of the broken sub-conductor, the induced voltage of the split conductor to which it belongs is determined.
[0178] The device for determining the induced voltage of a split conductor based on a broken sub-conductor provided in this embodiment can execute the method provided in the above-described method embodiment. Its implementation principle and technical effect are similar, and will not be described in detail here.
[0179] Figure 5 A schematic diagram of the structure of an electronic device provided in this application, such as... Figure 5 As shown, the electronic device 50 provided in this embodiment includes at least one processor 501 and a memory 502. Optionally, the electronic device 50 further includes a communication component 503. The processor 501, memory 502, and communication component 503 are connected via a bus 504.
[0180] In a specific implementation, at least one processor 501 executes computer execution instructions stored in memory 502, causing at least one processor 501 to perform the above-described method.
[0181] The specific implementation process of processor 501 can be found in the above method embodiments, and its implementation principle and technical effect are similar. It will not be repeated here.
[0182] In the above embodiments, it should be understood that the processor can be a Central Processing Unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), etc. The general-purpose processor can be a microprocessor or any conventional processor. The steps of the method disclosed in this invention can be directly implemented by a hardware processor, or implemented by a combination of hardware and software modules within the processor.
[0183] The memory may include random access memory (RAM) and may also include non-volatile memory (NVM), such as at least one disk storage device.
[0184] The bus can be an Industry Standard Architecture (ISA) bus, a Peripheral Component Interconnect (PCI) bus, or an Extended Industry Standard Architecture (EISA) bus, etc. Buses can be categorized as address buses, data buses, control buses, etc. For ease of illustration, the buses shown in the accompanying drawings are not limited to a single bus or a single type of bus.
[0185] This application also provides a computer program product, including a computer program that, when executed by a processor, implements the above-described method.
[0186] This application also provides a computer-readable storage medium storing computer-executable instructions, which, when executed by a processor, implement the above-described method.
[0187] The aforementioned readable storage medium can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic storage, flash memory, magnetic disk, or optical disk. The readable storage medium can be any available medium accessible to a general-purpose or special-purpose computer.
[0188] An exemplary readable storage medium is coupled to a processor, enabling the processor to read information from and write information to the readable storage medium. Of course, the readable storage medium can also be a component of the processor. The processor and the readable storage medium can reside in an Application Specific Integrated Circuit (ASIC). Alternatively, the processor and the readable storage medium can exist as discrete components in the device.
[0189] The division of units is merely a logical functional division; in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be indirect coupling or communication connection through some interfaces, devices, or units, and may be electrical, mechanical, or other forms.
[0190] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.
[0191] In addition, the functional units in the various embodiments of the present invention can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit.
[0192] If a function is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods of the various embodiments of this invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.
[0193] Those skilled in the art will understand that all or part of the steps of the above-described method embodiments can be implemented by hardware related to program instructions. The aforementioned program can be stored in a computer-readable storage medium. When executed, the program performs the steps of the above-described method embodiments; and the aforementioned storage medium includes various media capable of storing program code, such as ROM, RAM, magnetic disks, or optical disks.
[0194] Finally, it should be noted that other embodiments of the invention will readily occur to those skilled in the art upon consideration of the specification and practice of the invention disclosed herein. This invention is intended to cover any variations, uses, or adaptations of the invention that follow the general principles of the invention and include common knowledge or customary techniques in the art not disclosed herein, and is not limited to the precise structures described above and shown in the accompanying drawings, and various modifications and changes can be made without departing from its scope. The scope of the invention is limited only by the appended claims.
Claims
1. A method for determining the induced voltage of a split conductor based on a broken sub-conductor, characterized in that, include: Obtain the attribute parameters of the transmission line and construct a geometric model based on the attribute parameters; wherein, the attribute parameters include the structural parameters of the tower, the physical parameters of the conductor, and the parameters of the broken line location, the conductor includes the ground wire, the broken sub-conductor and the intact sub-conductor, and the geometric model represents the actual spatial position of each conductor; Based on the geometric model, the potential coefficient matrix is determined, and based on the potential coefficient matrix, a coupling equation is constructed; wherein, the potential coefficient matrix characterizes the electrostatic coupling strength between each conductor, and the coupling equation characterizes the mathematical relationship between the voltage and charge of the conductor; Solve the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor, and determine the induced voltage of its associated split conductor based on the electrostatic induced voltage of the broken sub-conductor.
2. The method according to claim 1, characterized in that, The step of constructing a geometric model based on the attribute parameters includes: An initial model is constructed based on the structural parameters of the tower and the physical parameters of the conductor; wherein the initial model represents the standard spatial position of each conductor under normal operating conditions; Based on the broken line location parameters, the initial model is modified to obtain the geometric model.
3. The method according to claim 2, characterized in that, The step of correcting the initial model based on the broken line location parameters to obtain the geometric model includes: Based on the broken wire location parameters, the mechanical characteristic parameters of the broken sub-conductor are determined; wherein, the mechanical characteristic parameters characterize the mechanical state of the broken sub-conductor after it loses its tension constraint. Based on the preset mechanical deformation model, the displacement change of the broken sub-conductor is determined according to the mechanical characteristic parameters. Based on the displacement change, the spatial position of the broken sub-conductor in the initial model is corrected to obtain the geometric model.
4. The method according to claim 1, characterized in that, Determining the potential coefficient matrix based on the geometric model includes: Using the plane containing the ground in the geometric model as a mirror symmetry plane, determine the mirror positions of each conductor in the geometric model; For each conductor in the geometric model, determine the geometric distance between the spatial position of the conductor and the spatial positions of other conductors, and determine the mirror distance between the spatial position of the conductor and the mirror position of itself or other conductors; The potential coefficient matrix is determined based on the equivalent radius of each conductor, the geometric distance of each conductor, and the mirror distance of each conductor.
5. The method according to claim 4, characterized in that, The elements in the potential coefficient matrix are: ; Among them, the This represents the element in the i-th row and j-th column of the potential coefficient matrix. Represents the dielectric constant of air; when j is not equal to i, the The distance between the spatial position of the i-th conductor and the mirror position of the j-th conductor is represented by the mirror image distance. This represents the geometric distance between the spatial positions of the i-th conductor and the j-th conductor; when j equals i, the... The distance between the spatial position of the i-th conductor and its mirror image position is represented by the following: This represents the equivalent radius of the i-th conductor.
6. The method according to claim 1, characterized in that, The step of constructing the coupling equation based on the potential coefficient matrix includes: Based on the operating state of each conductor, the conductors are divided into a set of conductors with known voltage and a set of conductors with unknown voltage. The set of conductors with known voltage includes intact sub-conductors representing the operating voltage that has been determined and the ground wire. The set of conductors with unknown voltage includes sub-conductors representing the electrostatic induction voltage to be solved. Based on the known set of voltage conductors and the unknown set of voltage conductors, the potential coefficient matrix is divided into blocks to construct the coupling equation.
7. The method according to claim 6, characterized in that, The coupling equation satisfies: ; Among them, the The voltage parameters represent a set of known voltage conductors. The voltage parameters represent the set of unknown voltage conductors. The charge parameters of a known set of voltage-carrying conductors are represented by the following. The charge parameter representing the set of unknown voltage conductors, the This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the submatrix of mutual potential coefficients between the known set of voltage conductors and the unknown set of voltage conductors. The submatrix representing the mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors, is... This represents the submatrix of self-potential coefficients for a set of conductors with unknown voltages.
8. The method according to claim 7, characterized in that, Solving the coupling equation to obtain the electrostatic induced voltage of the broken sub-conductor includes: Determine the electrical state of the broken sub-conductor, and determine the boundary conditions based on the electrical state; wherein the electrical state is either a floating state or a grounded state; Based on the boundary conditions, solve for the voltage parameters of the unknown voltage conductor set in the coupling equation, which are the electrostatic induced voltages of the broken sub-conductors.
9. The method according to claim 8, characterized in that, The electrostatic induction voltage of the broken sub-conductor is: ; Among them, the The electrostatic induction voltage of the broken sub-conductor, the The submatrix representing the mutual potential coefficients between the set of unknown voltage conductors and the set of known voltage conductors, is... This represents the submatrix of self-potential coefficients for a known set of voltage-carrying conductors. This represents the voltage parameters of a known set of voltage conductors.
10. The method according to any one of claims 1-9, characterized in that, The attribute parameters of the transmission line also include the load current parameters of the transmission line. Determining the induced voltage of the branch conductor to which the broken conductor belongs based on the electrostatic induced voltage of the branch conductor includes: The electromotive force (EMF) parameters are determined based on the load current parameters of the transmission line; wherein the EMF parameters characterize the EMF induced by the alternating magnetic field on the longitudinal path of the broken sub-conductor. The electrostatic induced voltage of the broken sub-conductor and the electromotive force parameter are vector-superimposed to obtain the comprehensive induced voltage of the broken sub-conductor. The induced voltage of the split conductor to which the broken conductor belongs is determined based on the combined induced voltage of the broken conductor.