Fault detection method and device for non-transposition line on same tower, medium and computer equipment

By constructing and decoupling the impedance matrix of the same tower non-transferring line, the difficulty in calculating fault current caused by line parameter asymmetry is solved, and more efficient and accurate fault current calculation is achieved.

CN120507688AActive Publication Date: 2025-08-19EAST CHINA BRANCH OF STATE GRID CORP
View PDF 5 Cites 0 Cited by

Patent Information

Application Number
CN202510423177.0
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-04-07
Publication Date
2025-08-19
Estimated Expiration
2045-04-07

AI Technical Summary

Technical Problem

The asymmetry of the line parameters of the same tower does not convert the line, resulting in low accuracy in the calculation of the fault current, making it difficult to meet the assumption conditions of the six-sequence component method for accurate analysis and calculation.

Method used

By obtaining line parameters, building the initial impedance matrix, performing parameter averaging processing to obtain the average impedance matrix, establishing a voltage and current relationship, and performing decoupling processing to obtain the decoupling relationship and the decoupling matrix. Finally, the fault boundary conditions are solved based on the decoupling relationship and matrix to calculate the fault current.

Benefits of technology

It reduces the difficulty and operation amount of calculation, and improves the accuracy of fault current calculation.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN120507688A_ABST
    Figure CN120507688A_ABST
Patent Text Reader

Abstract

The invention discloses a same-tower non-transposition line fault detection method and device, a medium and computer equipment, and relates to the field of power systems. The method comprises the following steps: firstly, acquiring line parameters of a target line, constructing a line model based on the line parameters to obtain an initial impedance matrix of the target line, then performing parameter average processing on the initial impedance matrix to obtain an average impedance matrix, and establishing a voltage and current relational expression of the target line based on the average impedance matrix to obtain an initial relational expression, finally decoupling the initial relational expression to obtain a decoupling relational expression and a decoupling matrix, and solving the fault boundary condition of the target line based on the decoupling relational expression and the decoupling matrix to obtain the fault boundary condition of the target line. And obtaining the fault current of the target line. According to the method, the problem that the fault current is difficult to solve due to asymmetry of loop parameters is solved, the calculation difficulty and the calculation amount are reduced, and the accuracy of a calculation result is improved.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present invention relates to the technical field of power systems, and in particular to a method, device, storage medium and computer equipment for detecting faults of lines on the same tower that are not transposed. Background Art

[0002] With rapid economic development and accelerated urbanization, electricity demand continues to grow, and the scale of transmission line construction continues to expand. However, transmission corridor resources are limited, land is scarce, and land acquisition fees are increasing, leading to rising construction costs. To efficiently utilize limited transmission corridor resources, double-circuit and multi-circuit lines on the same tower have become widely used as an economical and efficient transmission solution.

[0003] Untransposed transmission lines on the same tower refer to two or more transmission lines arranged in parallel on the same tower, without the traditional transposition design. Compared to traditional transmission lines, untransposed transmission lines on the same tower offer significant advantages, including land conservation, significant reductions in construction costs, and improved transmission efficiency. They have become a crucial component of modern power grid construction. However, this untransposed conductor arrangement prevents completely symmetrical line parameters for dual-circuit lines on the same tower, creating numerous challenges for fault analysis and making it difficult to accurately analyze and calculate fault currents using the six-sequence component method. Summary of the Invention

[0004] In view of this, the present application provides a method, device, storage medium and computer equipment for detecting faults in lines on the same tower without transposition, the main purpose of which is to solve the technical problem of low fault current calculation accuracy caused by parameter asymmetry of lines on the same tower without transposition.

[0005] According to a first aspect of the present invention, a method for detecting a line fault on the same tower without transposition is provided, the method comprising:

[0006] Acquiring line parameters of a target line, building a line model based on the line parameters, and obtaining an initial impedance matrix of the target line;

[0007] Performing parameter averaging processing on the initial impedance matrix to obtain an average impedance matrix, and establishing a voltage-current relationship equation of the target line based on the average impedance matrix to obtain an initial relationship equation;

[0008] The initial relational expression is decoupled to obtain a decoupling relational expression and a decoupling matrix, and the fault boundary condition of the target line is solved based on the decoupling relational expression and the decoupling matrix to obtain the fault current of the target line.

[0009] In one embodiment, acquiring line parameters of a target line, constructing a line model based on the line parameters, and obtaining an initial impedance matrix of the target line includes: acquiring the horizontal distance of each phase conductor of each loop in the target line from the center of the tower, the height of each phase conductor of each loop above the tower body, the generating end voltage and the power consumption end voltage of the target line, and the generating end impedance and the power consumption end impedance of the target line, to construct the line model; and calculating the initial impedance matrix based on the line model, wherein the initial impedance matrix includes a self-inductance parameter of each loop in the target line, a phase-to-phase mutual inductance parameter of each loop, and a line-to-line mutual inductance parameter of each loop.

[0010] In one embodiment, the parameter averaging processing of the initial impedance matrix to obtain the average impedance matrix includes: obtaining the self-inductance parameter of each loop in the initial impedance matrix, calculating the average value of the self-inductance parameter, and obtaining the average self-inductance parameter; obtaining the phase-to-phase mutual inductance parameter of each loop in the initial impedance matrix, calculating the average value of the phase-to-phase mutual inductance parameter, and obtaining the average phase-to-phase mutual inductance parameter; obtaining the line-to-line mutual inductance parameter of each loop in the initial impedance matrix, calculating the average value of the line-to-line mutual inductance parameter, and obtaining the average line-to-line mutual inductance parameter; and replacing the self-inductance parameter, the phase-to-phase mutual inductance parameter, and the line-to-line mutual inductance parameter in the initial impedance matrix with the average self-inductance parameter, the average phase-to-phase mutual inductance parameter, and the average line-to-line mutual inductance parameter, respectively, to obtain the average impedance matrix.

[0011] In one embodiment, the decoupling of the initial relationship to obtain a decoupling relationship and a decoupling matrix includes: obtaining a phase-to-phase decoupling matrix, and performing phase-to-phase decoupling on the initial relationship based on the phase-to-phase decoupling matrix to obtain a phase-to-phase decoupling relationship; obtaining a line-to-line decoupling matrix, and performing line-to-line decoupling on the phase-to-phase decoupling relationship based on the line-to-line decoupling matrix to obtain the decoupling relationship; and obtaining the decoupling matrix based on the phase-to-phase decoupling matrix and the line-to-line decoupling matrix.

[0012] In one embodiment, the obtaining of the inter-phase decoupling matrix, performing inter-phase decoupling on the initial relational expression based on the inter-phase decoupling matrix to obtain the inter-phase decoupling relational expression, includes:

[0013] [ΔU ABC ]=[Z eq ][I ABC ];

[0014]

[0015] [ΔU 012 ]=[Q] -1 [Z eq ][Q][I 012 ];

[0016] Among them, [ΔU ABC ] is the initial voltage matrix, [I ABC ] is the initial current matrix, [Z eq ] is the average impedance matrix, [ΔU 012 ] is the phase-to-phase decoupling voltage matrix, [I 012 ] is the phase decoupling current matrix, and [Q] is the phase decoupling matrix.

[0017] In one embodiment, the obtaining of the line-to-line decoupling matrix and performing line-to-line decoupling on the phase-to-phase decoupling relational expression based on the line-to-line decoupling matrix to obtain the decoupling relational expression include:

[0018]

[0019] [ΔU' 012 ]=[P] -1 [Q] -1 [Z eq ][Q][P][I' 012 ];

[0020] Among them, [ΔU' 012 ] is the decoupling voltage matrix, [I' 012 ] is the decoupling current matrix, [P] is the line decoupling matrix;

[0021] The obtaining the decoupling matrix based on the inter-phase decoupling matrix and the inter-line decoupling matrix includes:

[0022] [M] = [Q] [P];

[0023] Wherein, [M] is the decoupling matrix.

[0024] In one embodiment, solving the fault boundary condition of the target line based on the decoupling relationship and the decoupling matrix to obtain the fault current of the target line includes: converting the fault boundary condition into a decoupling boundary condition based on the decoupling matrix, obtaining a composite sequence network diagram based on the decoupling relationship and the decoupling boundary condition; and calculating the fault current of the target line based on the composite sequence network diagram.

[0025] According to a second aspect of the present invention, there is provided a device for detecting faults of lines on the same tower without transposition, the device comprising:

[0026] A model building module, configured to obtain line parameters of a target line, build a line model based on the line parameters, and obtain an initial impedance matrix of the target line;

[0027] a data processing module, configured to perform parameter averaging on the initial impedance matrix to obtain an average impedance matrix, and establish a voltage-current relationship equation for the target line based on the average impedance matrix to obtain an initial relationship equation;

[0028] A decoupling calculation module is used to decouple the initial relational expression to obtain a decoupling relational expression and a decoupling matrix, and solve the fault boundary condition of the target line based on the decoupling relational expression and the decoupling matrix to obtain the fault current of the target line.

[0029] According to a third aspect of the present invention, a storage medium is provided, on which a computer program is stored. When the program is executed by a processor, the above-mentioned method for detecting faults of non-transposed lines on the same tower is implemented.

[0030] According to a fourth aspect of the present invention, a computer device is provided, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the above-mentioned method for detecting line faults on the same tower without transposition when executing the program.

[0031] The present invention provides a method, device, storage medium, and computer equipment for detecting faults on same-tower non-transposed lines. The method first obtains the line parameters of a target line, constructs a line model based on the line parameters, and obtains an initial impedance matrix for the target line. The initial impedance matrix is then parameter-averaged to obtain an average impedance matrix. A voltage-current relationship for the target line is established based on the average impedance matrix to obtain an initial relationship. Finally, the initial relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. Based on the decoupling relationship and the decoupling matrix, the fault boundary conditions for the target line are solved to obtain the fault current of the target line. Using the above technical solution, the initial impedance matrix is first parameter-averaged to obtain an average impedance matrix, which facilitates subsequent decoupling operations. A relationship is then established based on the average impedance matrix, and the relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. This allows boundary conditions to be solved based on the decoupling relationship and the decoupling matrix, resolving the difficulty in solving the fault current due to asymmetric loop parameters. This reduces computational complexity and computational complexity, and improves the accuracy of the calculation results.

[0032] The above description is only an overview of the technical solution of the present application. In order to more clearly understand the technical means of the present application, it can be implemented in accordance with the contents of the specification. In order to make the above and other purposes, features and advantages of the present application more obvious and easy to understand, the specific implementation methods of the present application are listed below. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] The drawings described herein are used to provide a further understanding of the present invention and constitute a part of this application. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute an improper limitation of the present invention. In the drawings:

[0034] Figure 1 A schematic flow chart of a method for detecting a line fault on the same tower without transposition provided by an embodiment of the present invention is shown;

[0035] Figure 2 A schematic diagram of line parameters provided by an embodiment of the present invention is shown;

[0036] Figure 3 A schematic diagram of a double-circuit line structure provided by an embodiment of the present invention is shown;

[0037] Figure 4 It shows a composite sequence network diagram of phase A ground short circuit of loop Ⅰ provided by an embodiment of the present invention;

[0038] Figure 5 A schematic structural diagram of a device for detecting faults in lines on the same tower without transposition provided by an embodiment of the present invention is shown;

[0039] Figure 6 A schematic structural diagram of a computer device provided by an embodiment of the present invention is shown. DETAILED DESCRIPTION

[0040] The present invention will be described in detail below with reference to the accompanying drawings and in combination with embodiments. It should be noted that, unless there is a conflict, the embodiments and features in the embodiments of the present application can be combined with each other.

[0041] With rapid economic development and accelerating urbanization, electricity demand continues to grow, particularly in the economically developed East China region, placing significant pressure on balancing power supply and demand. The East China Power Grid has established a 500kV main grid covering five provinces and municipalities, and the scale of transmission line construction continues to expand. However, limited transmission corridor resources, a shortage of land, and increasing land acquisition costs are driving up construction costs. To efficiently utilize limited transmission corridor resources, double-circuit and multi-circuit lines on the same tower have become widely used as an economical and efficient transmission solution.

[0042] Untransposed lines on the same tower refer to two or more transmission lines arranged in parallel on the same tower, but without the traditional transposition design. Compared to traditional transmission lines, untransposed lines on the same tower offer significant advantages, including land conservation, significantly reduced construction costs, and improved transmission efficiency, making them a crucial component of modern power grid construction. However, the untransposed conductor arrangement prevents the line parameters of dual-circuit lines on the same tower from being completely symmetrical, creating numerous challenges for fault analysis. The traditional six-sequence component method has achieved excellent results in fault analysis of dual-circuit lines on the same tower. However, its application assumes that the mutual inductance and self-inductance of the two lines are identical, placing high demands on the symmetry of the impedance matrix. Due to the potential for different conductor types and the untransposed design, untransposed lines on the same tower struggle to meet the six-sequence component method's assumptions for accurate short-circuit current analysis.

[0043] Based on the above problems, the present application provides a method for detecting line faults on the same tower without transposition. In one embodiment, Figure 1 As shown, the method includes the following steps:

[0044] 101. Acquire line parameters of a target line, construct a line model based on the line parameters, and obtain an initial impedance matrix of the target line.

[0045] 102. Perform parameter averaging processing on the initial impedance matrix to obtain an average impedance matrix, and establish a voltage-current relationship equation of the target line based on the average impedance matrix to obtain an initial relationship equation.

[0046] 103. Decouple the initial relational expression to obtain a decoupling relational expression and a decoupling matrix, and solve the fault boundary condition of the target line based on the decoupling relational expression and the decoupling matrix to obtain the fault current of the target line.

[0047] In this embodiment, the target line is a single-tower, non-transposed line. This means two or more transmission lines are arranged in parallel on the same tower, but without transposition. Based on the target line parameters, a line model can be constructed. This line model can be simulated using relevant software or algorithms. Based on the line model, the impedance matrix of the target line can be calculated. For ease of description, this impedance matrix is referred to as the initial impedance matrix.

[0048] Because the parameters of each target line in actual application are not completely symmetrical due to factors such as process, environment, and operational layout, the calculated initial impedance matrix is often irregular. Direct calculations based on the initial impedance matrix are very difficult and computationally intensive. Therefore, before solving the problem, this embodiment performs a first step of parameter averaging on the initial impedance matrix to transform the irregular initial impedance matrix into an average impedance matrix with a certain regularity.

[0049] After obtaining the average impedance matrix, a relationship between voltage and current is established based on the average impedance matrix, which is recorded as the initial relationship. Then the second step is carried out, that is, decoupling is performed based on the initial relationship. The initial relationship is that the initial voltage matrix is equal to the average impedance matrix multiplied by the initial current matrix. Although the average impedance matrix is processed based on the initial impedance matrix, it is still difficult to solve the problem based on the average impedance matrix. Therefore, the initial relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. The purpose of decoupling is to decouple the relationship into the form of a voltage matrix equal to a diagonal matrix multiplied by a current matrix, so that it can be solved more conveniently. After obtaining the decoupling relationship and the decoupling matrix, the target line can be solved according to the boundary conditions of the fault, thereby calculating the fault current of the target line.

[0050] The method for detecting faults on non-transposed lines on the same tower provided in this embodiment first obtains the line parameters of the target line, constructs a line model based on the line parameters, and obtains an initial impedance matrix for the target line. The initial impedance matrix is then parameter-averaged to obtain an average impedance matrix. A voltage-current relationship for the target line is established based on the average impedance matrix to obtain an initial relationship. Finally, the initial relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. Based on the decoupling relationship and the decoupling matrix, the fault boundary conditions for the target line are solved to obtain the fault current of the target line. Using the above technical solution, the initial impedance matrix is first parameter-averaged to obtain an average impedance matrix, which facilitates subsequent decoupling operations. A relationship is then established based on the average impedance matrix, and the relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. This allows boundary conditions to be solved based on the decoupling relationship and the decoupling matrix. This solves the problem of difficulty in solving fault current due to asymmetric loop parameters, reduces computational complexity and computational complexity, and improves the accuracy of the calculation results.

[0051] Furthermore, to fully illustrate the implementation process of this embodiment, the specific implementation methods of the above embodiment are further refined and expanded below. Specifically, in one embodiment, step 101 obtains the line parameters of the target line, constructs a line model based on the line parameters, and obtains the initial impedance matrix of the target line, including: obtaining the horizontal distance of each phase conductor of each loop in the target line from the center of the tower, the height of each phase conductor of each loop above the tower body, the voltage at the generating end and the voltage at the power consumption end of the target line, and the impedance at the generating end and the impedance at the power consumption end of the target line, to construct the line model; and calculating the initial impedance matrix based on the line model, wherein the initial impedance matrix includes the self-inductance parameter of each loop in the target line, the phase-to-phase mutual inductance parameter of each loop, and the line-to-line mutual inductance parameter of each loop.

[0052] In the above embodiment, each line in the target line includes three phases A, B, and C. Figure 2 As shown in the figure, the target line includes two loops, loop Ⅰ and loop Ⅱ, for example. Each loop includes three-phase conductors A, B, and C. The line parameters of the target line can include the horizontal distance of each phase conductor in each loop from the center of the tower (i.e. Figure 2 HORIZ parameters in the tower), the height of each phase conductor of each loop above the ground (i.e. Figure 2 The VTOWER parameter in the figure also includes the horizontal distance between the ground wire and the center of the tower and the height of the tower body above the ground. The line parameters also include the voltage at the generating end and the voltage at the power supply end of the target line, and the impedance at the generating end and the impedance at the power supply end of the target line. For example, a double-circuit line structure on the same tower, such as Figure 3 As shown, Figure 3 China E M Indicates the voltage at the generating end, E N Indicates the voltage at the power terminal, Z M Represents the impedance of the generating end, Z N Represents the impedance of the power end. Based on the above line parameters, a simulation model of the target line is constructed through relevant algorithms or software to obtain a line model. Based on the line model, the initial impedance matrix of the target line can be calculated. The initial impedance matrix is as follows:

[0053]

[0054] Among them, the matrix Z is the initial impedance matrix, and the matrix parameter Z ij Indicates the impedance between the loop conductor i and the conductor j. Each loop in the double loop includes three-phase conductors A, B, and C, so there are 6 conductors in total. Therefore, the range of i and j is 1 to 6. For example, 1 to 3 can represent the three phases A, B, and C of the first loop, and 4 to 6 can represent the three phases A, B, and C of the second loop. For example, in the above formula, z 11The self-impedance of phase A of the first loop is also called the self-inductance parameter, z 12 The mutual impedance between phases A and B of the first loop is also called the phase-to-phase mutual inductance parameter, z 14 This parameter represents the mutual impedance between phase A of the first loop and phase A of the second loop, also known as the line mutual inductance parameter.

[0055] According to the above content, it can be known that the initial impedance matrix includes self-inductance parameters, phase-to-phase mutual inductance parameters, and line-to-line mutual inductance parameters.

[0056] In general, the parameters of the first loop (I loop) and the second loop (II loop) are asymmetric, so the parameters in the calculated initial impedance matrix are different and irregular. Figure 2 The line parameters shown in the figure are as follows, and the voltage at the generating end and the voltage at the power consumption end are set to 500kV, that is, E M =E N =500kv, the positive sequence impedance at the generating end is Z sm1 =0.3032+7.6348i, zero sequence impedance is Z sm0 =1.5435+10.6116i, the positive sequence impedance at the power end is Z sn1 =0.3032+9.3988i, zero sequence impedance is Z sn0 =1.4884+13.23i. The initial impedance matrix calculated based on the above parameters is as follows:

[0057]

[0058] If calculations are performed directly based on the initial impedance matrix, the computational difficulty and amount of computation are enormous, making complete decoupling difficult. Therefore, in this embodiment, parameter averaging is first performed on the initial impedance matrix to give the impedance matrix a certain regularity for subsequent calculations.

[0059] In one embodiment, in step 102, parameter averaging processing is performed on the initial impedance matrix to obtain an average impedance matrix, including: obtaining a self-inductance parameter of each loop in the initial impedance matrix, calculating an average value of the self-inductance parameter, and obtaining an average self-inductance parameter; obtaining a phase-to-phase mutual inductance parameter of each loop in the initial impedance matrix, calculating an average value of the phase-to-phase mutual inductance parameter, and obtaining an average phase-to-phase mutual inductance parameter; obtaining a line-to-line mutual inductance parameter of each loop in the initial impedance matrix, calculating an average value of the line-to-line mutual inductance parameter, and obtaining an average line-to-line mutual inductance parameter; and replacing the self-inductance parameter, the phase-to-phase mutual inductance parameter, and the line-to-line mutual inductance parameter in the initial impedance matrix with the average self-inductance parameter, the average phase-to-phase mutual inductance parameter, and the average line-to-line mutual inductance parameter, respectively, to obtain the average impedance matrix.

[0060] Specifically, based on Formula 1, the average value of the self-inductance parameter is calculated, and the average self-inductance parameter is obtained, which includes:

[0061]

[0062] Calculating an average value of the interphase mutual inductance parameter to obtain an average interphase mutual inductance parameter includes:

[0063]

[0064] Calculating the average value of the line mutual inductance parameter to obtain the average line mutual inductance parameter includes:

[0065]

[0066] Substitute the results calculated by Formulas 2 to 7 above into Formula 1, and use the average self-inductance parameter, the average phase-to-phase mutual inductance parameter, and the average line-to-line mutual inductance parameter to replace the self-inductance parameter, the phase-to-phase mutual inductance parameter, and the line-to-line mutual inductance parameter in the initial impedance matrix in Formula 1, respectively, to obtain the average impedance matrix. The average impedance matrix is as follows:

[0067]

[0068] Among them, [Z eq ] represents the average impedance matrix. It can be seen that the matrix has high symmetry and can achieve complete decoupling.

[0069] In the above embodiment, the average impedance matrix obtained after performing parameter averaging processing on the initial impedance matrix is as follows:

[0070]

[0071] In one embodiment, in step 103, the initial relationship is decoupled to obtain a decoupling relationship and a decoupling matrix, including: obtaining a phase-to-phase decoupling matrix, and performing phase-to-phase decoupling on the initial relationship based on the phase-to-phase decoupling matrix to obtain a phase-to-phase decoupling relationship; obtaining a line-to-line decoupling matrix, and performing line-to-line decoupling on the phase decoupling relationship based on the line-to-line decoupling matrix to obtain the decoupling relationship; and obtaining the decoupling matrix based on the phase-to-phase decoupling matrix and the line-to-line decoupling matrix.

[0072] Specifically, obtaining an inter-phase decoupling matrix, and performing inter-phase decoupling on the initial relational expression based on the inter-phase decoupling matrix to obtain an inter-phase decoupling relational expression, including:

[0073] [ΔU ABC ]=[Z eq ][I ABC ]; (Formula 9)

[0074]

[0075] [ΔU 012 ]=[Q] -1 [Z eq ][Q][I 012 ]; (Formula 11)

[0076] Among them, [ΔU ABC ] is the initial voltage matrix, [I ABC ] is the initial current matrix, [Z eq ] is the average impedance matrix, [ΔU 012 ] is the phase-to-phase decoupling voltage matrix, [I 012 ] is the phase decoupling current matrix, and [Q] is the phase decoupling matrix.

[0077] Among them, Formula 9 is the initial relationship, and Formula 9 is expanded as follows:

[0078]

[0079] In the above formula, ΔU IA , ΔU IB , ΔU IC , ΔU IIA , ΔU IIB , ΔU IIC are the voltage drops of each phase on the line; I IA , I IB , I IC , I IIA , I IIB , I IIC are the currents of each phase on the line respectively.

[0080] The phase decoupling matrix [Q] is as follows:

[0081]

[0082] Where a = e j120 .

[0083] Based on Formula 10 and Formula 11, Formula 9 is decoupled between phases and decomposed into positive sequence, negative sequence, and zero sequence to obtain the phase decoupling relationship. The phase decoupling relationship is as follows:

[0084]

[0085] After phase-to-phase decoupling, the positive-sequence and negative-sequence impedances of the impedance matrix have been completely decoupled, but there is still coupling between the zero-sequences of the loops, so further line-to-line decoupling is performed.

[0086] Specifically, obtaining a line-to-line decoupling matrix, and performing line-to-line decoupling on the phase-to-phase decoupling relational expression based on the line-to-line decoupling matrix to obtain the decoupling relational expression includes:

[0087]

[0088] [ΔU' 012 ]=[P] -1 [Q] -1 [Z eq ][Q][P][I' 012 ]; (Formula 16)

[0089] Among them, [ΔU' 012 ] is the decoupling voltage matrix, [I' 012 ] is the decoupling current matrix, [P] is the line decoupling matrix;

[0090] The line decoupling matrix [P] is as follows:

[0091]

[0092] in,

[0093]

[0094] Based on formula 15 and formula 16, line decoupling is performed and the decoupling relationship is as follows:

[0095]

[0096] Wherein, Formula 18 can be expressed as follows:

[0097] [ΔU' 012 ]=[M] -1 [Z eq ][M][I' 012 ]; (Formula 19)

[0098] Where [M] = [Q] [P]; (Formula 20)

[0099] Wherein, [M] is the decoupling matrix, which is expanded as follows:

[0100]

[0101] Based on Formula 18, it can be seen that after two transformations, the voltage-current relationship has been completely decoupled, based on which the fault current can be solved.

[0102] In one embodiment, the fault boundary condition of the target line is solved based on the decoupling relationship and the decoupling matrix to obtain the fault current of the target line, including: converting the fault boundary condition into a decoupling boundary condition based on the decoupling matrix, obtaining a composite sequence network diagram based on the decoupling relationship and the decoupling boundary condition; and calculating the fault current of the target line based on the composite sequence network diagram.

[0103] Specifically, the fault boundary conditions can be obtained based on the fault type, such as a ground short circuit on phase A of line I, a ground short circuit on phase BC of line I, a cross-line short circuit on phase B of line I and phase C of line II, etc., and then the fault boundary conditions are converted into decoupling boundary conditions based on the decoupling matrix, and then the solution is performed based on the decoupling boundary conditions. Taking the fault type of a ground short circuit on phase A of line I as an example, when a ground short circuit occurs on phase A of line I, the voltage of phase A of line I is zero, the fault currents of the non-fault phases B and C are zero, and since there is no fault on line II, the three-phase fault currents are all zero. Therefore, the fault boundary conditions can be obtained as follows:

[0104]

[0105] According to the decoupling matrix, the above fault boundary conditions are transformed into decoupling boundary conditions:

[0106]

[0107] Solving Equation 23 yields:

[0108]

[0109] Then, based on the decoupling relation and decoupling boundary conditions, as well as the relationship between the voltage and current of each sequence network, we can obtain Figure 4 The composite sequence network diagram shown in FIG. 1 is used to calculate the fault current of the target line based on the composite sequence network diagram, that is, the short-circuit current of the fault phase A is:

[0110]

[0111] The solution to the fault current of other fault types is similar to that of the above embodiment and will not be repeated here.

[0112] The fault currents of different fault types were calculated by MATLAB and compared with the fault currents obtained by simulation calculation using the method provided in the embodiment of the present application. As shown in the following table, the calculation error is within 5%:

[0113]

[0114] This embodiment provides a method for detecting faults on lines on the same tower without transposition. By averaging the impedance matrix parameters, the initial impedance matrix, which cannot be fully decoupled, is converted into an average impedance matrix that can be fully decoupled. The average impedance matrix is then used to establish a voltage-current relationship to obtain an initial relationship. Phase-to-phase and line-to-line decoupling are then performed on the initial relationship to obtain a decoupling relationship and a decoupling matrix. The decoupling relationship transforms the impedance matrix to obtain a diagonal matrix, achieving complete decoupling. The fault boundary conditions are then solved based on the decoupling relationship and decoupling matrix to calculate the fault current. This method allows for the calculation of asymmetric loop parameters, simplifying the solution process, reducing the amount of computation required, and improving the accuracy of the calculation results.

[0115] Further, as Figure 1 As well as the specific implementation of the method shown in the above embodiment, this embodiment provides a device for detecting line faults on the same tower without transposition, such as Figure 5 As shown, the device includes: a model building module 31, a data processing module 32, and a decoupling calculation module 33.

[0116] A model building module 31 may be used to obtain line parameters of a target line, build a line model based on the line parameters, and obtain an initial impedance matrix of the target line;

[0117] The data processing module 32 may be configured to perform parameter averaging on the initial impedance matrix to obtain an average impedance matrix, and establish a voltage-current relationship equation for the target line based on the average impedance matrix to obtain an initial relationship equation;

[0118] The decoupling calculation module 33 can be used to decouple the initial relationship to obtain a decoupling relationship and a decoupling matrix, and solve the fault boundary conditions of the target line based on the decoupling relationship and the decoupling matrix to obtain the fault current of the target line.

[0119] In a specific application scenario, the line parameters of the target line are obtained, and a line model is constructed based on the line parameters to obtain an initial impedance matrix of the target line. The model construction module 31 can be specifically used to obtain the horizontal distance of each phase conductor of each loop in the target line from the center of the tower, the height of each phase conductor of each loop on the tower body above the ground, the power generation end voltage and the power consumption end voltage of the target line, and the power generation end impedance and the power consumption end impedance of the target line to construct the line model; the initial impedance matrix is calculated based on the line model, wherein the initial impedance matrix includes the self-inductance parameter of each loop in the target line, the phase-to-phase mutual inductance parameter of each loop, and the line-to-line mutual inductance parameter of each loop.

[0120] In a specific application scenario, parameter averaging is performed on the initial impedance matrix to obtain an average impedance matrix. The data processing module 32 can be specifically used to obtain the self-inductance parameter of each loop in the initial impedance matrix, calculate the average value of the self-inductance parameter, and obtain the average self-inductance parameter; obtain the phase-to-phase mutual inductance parameter of each loop in the initial impedance matrix, calculate the average value of the phase-to-phase mutual inductance parameter, and obtain the average phase-to-phase mutual inductance parameter; obtain the line-to-line mutual inductance parameter of each loop in the initial impedance matrix, calculate the average value of the line-to-line mutual inductance parameter, and obtain the average line-to-line mutual inductance parameter; and replace the self-inductance parameter, the phase-to-phase mutual inductance parameter, and the line-to-line mutual inductance parameter in the initial impedance matrix with the average self-inductance parameter, the average phase-to-phase mutual inductance parameter, and the average line-to-line mutual inductance parameter, respectively, to obtain the average impedance matrix.

[0121] In a specific application scenario, the initial relationship is decoupled to obtain a decoupling relationship and a decoupling matrix. The decoupling calculation module 33 can be specifically used to obtain a phase-to-phase decoupling matrix, and perform phase-to-phase decoupling on the initial relationship based on the phase-to-phase decoupling matrix to obtain a phase-to-phase decoupling relationship; obtain a line-to-line decoupling matrix, and perform line-to-line decoupling on the phase-to-phase decoupling relationship based on the line-to-line decoupling matrix to obtain the decoupling relationship; obtain the decoupling matrix based on the phase-to-phase decoupling matrix and the line-to-line decoupling matrix.

[0122] In a specific application scenario, the decoupling calculation module 33 can be specifically used to obtain an inter-phase decoupling matrix, and perform inter-phase decoupling on the initial relationship based on the inter-phase decoupling matrix to obtain an inter-phase decoupling relationship, including:

[0123] [ΔU ABC ]=[Z eq ][I ABC ];

[0124]

[0125] [ΔU 012 ]=[Q] -1 [Z eq ][Q][I 012 ];

[0126] Among them, [ΔU ABC ] is the initial voltage matrix, [I ABC ] is the initial current matrix, [Z eq ] is the average impedance matrix, [ΔU 012 ] is the phase-to-phase decoupling voltage matrix, [I 012 ] is the phase decoupling current matrix, and [Q] is the phase decoupling matrix.

[0127] In a specific application scenario, the decoupling calculation module 33 may be specifically configured to obtain a line-to-line decoupling matrix, and perform line-to-line decoupling on the phase-to-phase decoupling relational expression based on the line-to-line decoupling matrix to obtain the decoupling relational expression, including:

[0128]

[0129] [ΔU' 012 ]=[P] -1 [Q] -1 [Z eq ][Q][P][I' 012 ];

[0130] Among them, [ΔU' 012 ] is the decoupling voltage matrix, [I' 012 ] is the decoupling current matrix, [P] is the line decoupling matrix;

[0131] The obtaining the decoupling matrix based on the inter-phase decoupling matrix and the inter-line decoupling matrix includes:

[0132] [M] = [Q] [P];

[0133] Wherein, [M] is the decoupling matrix.

[0134] In a specific application scenario, the fault boundary conditions of the target line are solved based on the decoupling relationship and the decoupling matrix to obtain the fault current of the target line. The decoupling calculation module 33 can be specifically used to convert the fault boundary conditions into decoupling boundary conditions based on the decoupling matrix, and obtain a composite sequence network diagram based on the decoupling relationship and the decoupling boundary conditions; and calculate the fault current of the target line based on the composite sequence network diagram.

[0135] It should be noted that for other corresponding descriptions of the functional units involved in the same tower non-transposed line fault detection device provided in this embodiment, please refer to Figure 1 As well as the corresponding descriptions in the above embodiments, they will not be repeated here.

[0136] The present application also provides a computer device, such as Figure 6As shown, the computer device can specifically be a personal computer, a server, a network device, etc. The computer device includes a system bus, a processor, a memory, and a communication interface, and may also include an input / output interface and a display device. The processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operation of the operating system and computer program in the non-volatile storage medium. The database of the computer device is used to store location information. The network interface of the computer device is used to communicate with an external terminal via a network connection. When the computer program is executed by the processor, the steps in each method embodiment are implemented.

[0137] Those skilled in the art will understand that the structure of the above-mentioned computer device is only a partial structure related to the solution of the present application and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components, or combine certain components, or have a different component arrangement.

[0138] In one embodiment, a computer-readable storage medium is provided. The computer-readable storage medium may be non-volatile or volatile, and stores a computer program thereon. When the computer program is executed by a processor, the steps in the above-mentioned method embodiments are implemented.

[0139] In one embodiment, a computer program product is provided, including a computer program, which implements the steps in the above method embodiments when executed by a processor.

[0140] Those skilled in the art will appreciate that all or part of the processes in the above-mentioned embodiment methods can be implemented by instructing the relevant hardware through a computer program, and the computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to memory, database or other media used in the embodiments provided in this application may include at least one of non-volatile and volatile memory. Non-volatile memory may include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory may include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM). The database involved in the various embodiments provided herein may include at least one of a relational database and a non-relational database. Non-relational databases may include, but are not limited to, distributed databases based on blockchains. The processor involved in the various embodiments provided herein may be, but are not limited to, a general-purpose processor, a graphics processor, a digital signal processor, a programmable logic device, a data processing logic device based on quantum computing, and the like.

[0141] The technical features of the above embodiments can be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0142] The above-described embodiments merely represent several implementation methods of the present application. While the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the present application. It should be noted that a person of ordinary skill in the art may make various modifications and improvements without departing from the spirit of the present application, and these modifications and improvements fall within the scope of protection of the present application. Therefore, the scope of protection of the present application shall be determined by the appended claims.

Claims

1. A method for detecting line faults on the same tower without transposition, characterized in that: The method comprises: Acquiring line parameters of a target line, building a line model based on the line parameters, and obtaining an initial impedance matrix of the target line; Performing parameter averaging processing on the initial impedance matrix to obtain an average impedance matrix, and establishing a voltage-current relationship equation of the target line based on the average impedance matrix to obtain an initial relationship equation; The initial relational expression is decoupled to obtain a decoupling relational expression and a decoupling matrix, and the fault boundary condition of the target line is solved based on the decoupling relational expression and the decoupling matrix to obtain the fault current of the target line.

2. The method according to claim 1, characterized in that The acquiring of line parameters of the target line, building a line model based on the line parameters, and obtaining an initial impedance matrix of the target line includes: Obtaining the horizontal distance of each phase conductor of each loop in the target line from the center of the tower, the height of each phase conductor of each loop above the tower body, the voltage at the generating end and the voltage at the power consumption end of the target line, and the impedance at the generating end and the impedance at the power consumption end of the target line to construct the line model; The initial impedance matrix is calculated based on the line model, wherein the initial impedance matrix includes a self-inductance parameter of each loop in the target line, a phase-to-phase mutual inductance parameter of each loop, and a line-to-line mutual inductance parameter of each loop.

3. The method according to claim 2, characterized in that The performing parameter averaging processing on the initial impedance matrix to obtain an average impedance matrix includes: Obtaining the self-inductance parameter of each loop in the initial impedance matrix, calculating the average value of the self-inductance parameter, and obtaining an average self-inductance parameter; Obtaining the interphase mutual inductance parameter of each loop in the initial impedance matrix, calculating the average value of the interphase mutual inductance parameter, and obtaining the average interphase mutual inductance parameter; Obtaining the line mutual inductance parameter of each loop in the initial impedance matrix, calculating the average value of the line mutual inductance parameter, and obtaining the average line mutual inductance parameter; The average self-inductance parameter, the average inter-phase mutual inductance parameter, and the average inter-line mutual inductance parameter are used to replace the self-inductance parameter, the inter-phase mutual inductance parameter, and the inter-line mutual inductance parameter in the initial impedance matrix, respectively, to obtain the average impedance matrix.

4. The method according to claim 1, wherein Decoupling the initial relational expression to obtain a decoupling relational expression and a decoupling matrix includes: Acquire an inter-phase decoupling matrix, and perform inter-phase decoupling on the initial relational expression based on the inter-phase decoupling matrix to obtain an inter-phase decoupling relational expression; Acquire a line-to-line decoupling matrix, and perform line-to-line decoupling on the phase-to-phase decoupling relational expression based on the line-to-line decoupling matrix to obtain the decoupling relational expression; The decoupling matrix is obtained based on the inter-phase decoupling matrix and the inter-line decoupling matrix.

5. The method according to claim 4, characterized in that The obtaining of the inter-phase decoupling matrix and performing inter-phase decoupling on the initial relational expression based on the inter-phase decoupling matrix to obtain the inter-phase decoupling relational expression include: [ΔU ABC ]=[Z eq ][AND ABC ]; [ΔU 012 ]=[Q] -1 [WITH eq ][Q][I 012 ]; Among them, [ΔU ABC ] is the initial voltage matrix, [I ABC ] is the initial current matrix, [Z eq ] is the average impedance matrix, [ΔU 012 ] is the phase-to-phase decoupling voltage matrix, [I 012 ] is the phase decoupling current matrix, and [Q] is the phase decoupling matrix.

6. The method according to claim 5, characterized in that The obtaining of the line-to-line decoupling matrix and performing line-to-line decoupling on the phase-to-phase decoupling relational expression based on the line-to-line decoupling matrix to obtain the decoupling relational expression includes: [ΔU' 012 ]=[P] -1 [Q] -1 [WITH eq ][Q][P][I' 012 ]; Among them, [ΔU' 012 ] is the decoupling voltage matrix, [I' 012 ] is the decoupling current matrix, [P] is the line decoupling matrix; The obtaining the decoupling matrix based on the inter-phase decoupling matrix and the inter-line decoupling matrix includes: [M] = [Q] [P]; Wherein, [M] is the decoupling matrix.

7. The method according to claim 1, characterized in that Solving the fault boundary condition of the target line based on the decoupling relation and the decoupling matrix to obtain the fault current of the target line includes: Based on the decoupling matrix, the fault boundary condition is converted into a decoupling boundary condition, and a composite sequence network diagram is obtained based on the decoupling relation and the decoupling boundary condition; The fault current of the target line is calculated based on the composite sequence network diagram.

8. A device for detecting faults of lines on the same tower without transposition, characterized in that: The device comprises: A model building module, configured to obtain line parameters of a target line, build a line model based on the line parameters, and obtain an initial impedance matrix of the target line; a data processing module, configured to perform parameter averaging on the initial impedance matrix to obtain an average impedance matrix, and establish a voltage-current relationship equation for the target line based on the average impedance matrix to obtain an initial relationship equation; A decoupling calculation module is used to decouple the initial relational expression to obtain a decoupling relational expression and a decoupling matrix, and solve the fault boundary condition of the target line based on the decoupling relational expression and the decoupling matrix to obtain the fault current of the target line.

9. A storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.

10. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.

Citation Information

Patent Citations

  • Time-domain fault range finding method for co-tower double-loop DC power transmission line based on single-loop electrical quantity

    CN106405326A

  • Partially-coupled same-tower double-circuit transmission line asynchronous fault location method

    CN110361632A

  • Single-circuit three-phase disconnection fault analysis method for four-circuit line erected on same tower

    CN112630587A

  • Method and device for analyzing four-circuit three-phase disconnection fault of four circuits on same tower

    CN114019294A

  • Line constant measurement method for parallel two-line power transmission line and protection control measurement apparatus

    JP2012052979A