Non-intrusive voltage inversion method based on annular arrangement and related device

Abstract

The invention discloses a non-intrusive voltage inversion method based on annular arrangement and a related device, and relates to the technical field of voltage sensor measurement, and the method comprises the steps: obtaining the height and radius of a lead; based on the height of the wire and the radius of the wire, obtaining a relational expression between the surface potential of the wire and simulated charges; determining a voltage inversion matrix based on the relational expression of the wire surface potential and the simulated charges; determining a voltage inversion calculation formula based on the voltage inversion matrix; and performing voltage inversion based on the voltage inversion calculation formula and the multiple groups of electric field sensor data to obtain an inversion voltage solution with the minimum overall residual error. According to the invention, the reliability and stability of voltage inversion can be improved.

Description

Technical Field

[0001] This application relates to the field of voltage sensor measurement technology, and in particular to a non-invasive voltage inversion method and related apparatus based on a ring arrangement. Background Technology

[0002] To maintain stable grid supply voltage, actual power operations typically require measuring the voltage output value on high-voltage lines to create a closed-loop feedback loop. Currently, voltage measurement of high-voltage equipment in the power grid generally uses invasive devices such as electromagnetic or inductive instrument transformers. These are directly connected to the high-voltage electrical equipment, resulting in large size and inconvenient installation. Furthermore, transient faults in the lines can induce high-frequency resonance, leading to poor frequency response and a narrow bandwidth. In addition, their direct contact with grid equipment alters the topology of the original testing system, posing a challenge to accurate voltage measurement.

[0003] The non-invasive measurement method first uses an electric field sensor to collect spatial electric field information. Then, by combining the collected electric field information with electromagnetic principles, the voltage on the surface of high-voltage equipment or devices can be retrieved. This method not only avoids direct contact with the device under test, preserving the original test system structure, but also leverages the significant advantages of current electric field sensors—small size, easy integration, and mass production—by arranging sensors in an array to collect electric field data at multiple points, thereby improving the stability of voltage retrieval.

[0004] Existing non-invasive voltage inversion methods based on sensor arrays primarily deploy sensors near the ground, where the electric field is weak, placing significant demands on the sensors' resolution and noise immunity. Furthermore, current non-invasive voltage inversion methods for high-voltage power systems mainly employ the electric field integration method. While this method has been used to design non-invasive voltage measurement systems, it does not address the impact of source conductor sloshing and ground potential on voltage inversion accuracy. Additionally, the practical deployment of sensors is challenging, indicating that existing non-invasive voltage inversion technologies are not yet mature. Summary of the Invention

[0005] The purpose of this application is to provide a non-intrusive voltage inversion method and related apparatus based on a ring arrangement, which can improve the reliability and stability of voltage inversion.

[0006] To achieve the above objectives, this application provides the following solution.

[0007] In a first aspect, this application provides a non-intrusive voltage inversion method based on a ring arrangement, which includes the following steps.

[0008] Obtain the conductor height and conductor radius.

[0009] Based on the conductor height and the conductor radius, the relationship between the conductor surface potential and the simulated charge is obtained.

[0010] Based on the relationship between the surface potential of the conductor and the simulated charge, the voltage inversion matrix is ​​determined.

[0011] Based on the voltage inversion matrix, the voltage inversion calculation formula is determined.

[0012] Based on the voltage inversion calculation formula and multiple sets of electric field sensor data, voltage inversion is performed to obtain the inversion voltage solution with the minimum overall residual.

[0013] In a second aspect, this application provides a computer device, including: a memory, a processor, and a computer program stored in the memory and capable of running on the processor, wherein the processor executes the computer program to implement the non-invasive voltage inversion method based on a ring arrangement as described above.

[0014] Thirdly, this application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the non-intrusive voltage inversion method based on a ring arrangement as described above.

[0015] Based on the specific embodiments provided in this application, the following technical effects are disclosed.

[0016] This application provides a non-invasive voltage inversion method and related apparatus based on a ring arrangement. The method includes: obtaining the conductor height and radius to provide accurate basic geometric and physical parameters for subsequent key steps such as establishing the relationship between the conductor surface potential and simulated charge, and constructing the voltage inversion matrix. This avoids distortion of the subsequent inversion model due to missing or incorrect basic parameters and ensures the reliability of the initial input data for the inversion calculation; obtaining the relationship between the conductor surface potential and simulated charge based on the conductor height and radius, transforming the geometric characteristics of the conductor into a mathematical expression describing the quantitative relationship between core physical quantities, providing a direct and necessary mathematical basis for the subsequent construction of the voltage inversion matrix, and realizing the transformation of the inversion process from physical concepts to a computable mathematical model; and determining the voltage inversion matrix based on the relationship between the conductor surface potential and simulated charge, further transforming the quantitative relationship between potential and simulated charge into a structured matrix form. This lays a systematic mathematical foundation for the subsequent derivation of the voltage inversion calculation formula, providing a clear logical framework and operable mathematical structure for the voltage inversion calculation. Based on the voltage inversion matrix, the voltage inversion calculation formula is determined, transforming the structured inversion matrix into a specific mathematical formula directly applicable to practical calculations. This clarifies the specific calculation path from electric field sensor data to the inverted voltage, providing a standardized and unified calculation basis for the subsequent voltage inversion process and reducing the operational complexity in practical applications. Based on the voltage inversion calculation formula and multiple sets of electric field sensor data, voltage inversion is performed to obtain the inversion voltage solution with the minimum overall residual. Through the fusion of multiple sets of data and the residual minimization objective function, the influence of single sensor data errors and external interference on the inversion results can be effectively suppressed, significantly improving the accuracy, stability, and anti-interference capability of the inversion voltage solution, ensuring that the inversion results more closely match the actual voltage situation of the conductor. This application adopts a progressive process of "acquiring basic parameters, establishing physical quantity relationships, constructing inversion matrices, deriving calculation formulas, and optimizing solutions using multiple data sources" to form a logically coherent, scientifically rigorous, and highly practical inversion system. This system not only ensures the theoretical rationality and operational standardization of the inversion process, but also effectively improves the accuracy and reliability of the inversion results through multi-data fusion and residual optimization. It achieves precision and efficiency in non-invasive voltage measurement and is suitable for scenarios with high requirements for measurement accuracy and stability. Attached Figure Description

[0017] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0018] Figure 1This is an application environment diagram of a non-intrusive voltage inversion method based on a ring arrangement in one embodiment of this application.

[0019] Figure 2 This is a flowchart illustrating a non-intrusive voltage inversion method based on a ring arrangement, provided as an embodiment of this application.

[0020] Figure 3 This is a schematic diagram of electric field superposition calculation provided in an embodiment of this application.

[0021] Figure 4 This is a schematic diagram illustrating the calculation of the surface potential of a conductor according to an embodiment of this application.

[0022] Figure 5 This is a flowchart illustrating the Gauss-Newton iterative method provided in an embodiment of this application.

[0023] Figure 6 The electric field contour map obtained from the solution is provided in one embodiment of this application.

[0024] Figure 7 This is a schematic diagram of the error distribution obtained from the simulation of a 15kV low-voltage model provided in an embodiment of this application.

[0025] Figure 8 A schematic diagram of the error distribution obtained from the simulation of a high-voltage tube busbar model with a height of 12.2m and a conductor voltage of 1200kV, provided for an embodiment of this application.

[0026] Figure 9 This is a schematic diagram of the error distribution obtained from the simulation of a high-voltage main tube model with a height of 17m and a conductor voltage of 1200kV, provided for an embodiment of this application.

[0027] Figure 10 This is a schematic diagram of the structure of a computer device provided in an embodiment of this application. Detailed Implementation

[0028] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0029] The purpose of this application is to provide a non-invasive voltage inversion method and related apparatus based on a ring-shaped arrangement. This application employs multiple sets of sensors arranged equidistantly in a ring around a power transmission line. Using the electric field information obtained from the ring-shaped sensor array and the voltage inversion expression, an overdetermined set of equations is constructed. The voltage inversion value is determined through the least squares solution, effectively solving the problem of conductor position disturbance. Secondly, this application, combining the voltage inversion algorithm and experimental verification, determines the optimal installation location range of the sensor array, providing a scientific basis for engineering applications. Furthermore, this application discusses the inversion accuracy at different installation angles, depending on whether differential calculus is used, providing guidance for the deployment of practical sensors. Moreover, this application is not limited to the type of electric field sensor.

[0030] To make the above-mentioned objectives, features and advantages of this application more apparent and understandable, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0031] The non-intrusive voltage inversion method based on a ring arrangement provided in this application embodiment can be applied to, for example... Figure 1 In the application environment shown, terminal 102 communicates with server 104 via a network. A data storage system can store the data that server 104 needs to process. The data storage system can be set up independently, integrated into server 104, or placed in the cloud or on another server. Terminal 102 can send the acquired conductor height and radius to server 104. After receiving the conductor height and radius, server 104, based on the conductor height and radius, obtains the relationship between the conductor surface potential and the simulated charge; based on the relationship between the conductor surface potential and the simulated charge, it determines the voltage inversion matrix; based on the voltage inversion matrix, it determines the voltage inversion calculation formula; based on the voltage inversion calculation formula and multiple sets of electric field sensor data, it performs voltage inversion to obtain the inversion voltage solution with the minimum overall residual. Server 104 can feed back the obtained inversion voltage solution with the minimum overall residual to terminal 102. In addition, in some embodiments, the non-invasive voltage inversion method based on the ring arrangement can also be implemented by the server 104 or the terminal 102 alone. For example, the terminal 102 can directly perform non-invasive voltage inversion based on the ring arrangement for the conductor height and conductor radius, or the server 104 can obtain the conductor height and conductor radius from the data storage system and perform non-invasive voltage inversion based on the ring arrangement for the conductor height and conductor radius.

[0032] The terminal 102 can be, but is not limited to, various desktop computers, laptops, smartphones, and tablets. The server 104 can be implemented using a standalone server or a server cluster consisting of multiple servers, or it can be a cloud server.

[0033] In one exemplary embodiment, such as Figure 2 As shown, a non-intrusive voltage inversion method based on a ring arrangement is provided. This method is executed by a computer device, specifically a terminal or server, or both. In this embodiment, the method is applied to... Figure 1 Taking server 104 as an example, the following steps are included.

[0034] S1: Get the conductor height and conductor radius.

[0035] S2: Based on the height and radius of the conductor, the relationship between the surface potential of the conductor and the simulated charge is obtained.

[0036] S3: Determine the voltage inversion matrix based on the relationship between the surface potential of the conductor and the simulated charge.

[0037] S4: Based on the voltage inversion matrix, determine the voltage inversion calculation formula.

[0038] S5: Based on the voltage inversion calculation formula and multiple sets of electric field sensor data, voltage inversion is performed to obtain the inversion voltage solution with the smallest overall residual.

[0039] As an optional implementation, in step S5, voltage inversion is performed based on the voltage inversion calculation formula and multiple sets of electric field sensor data to obtain the inversion voltage solution with the minimum overall residual, specifically including the following steps.

[0040] S51: The regularization parameters are corrected using the Gauss-Newton iteration method, and Tikhonov regularization with least squares is used to obtain the processed regularization parameters.

[0041] S52: Based on the processed regularization parameters and the voltage inversion calculation formula, voltage inversion is performed using data from multiple sets of electric field sensors to obtain the inversion voltage solution with the smallest overall residual.

[0042] Implementing steps S1 to S5 ensures the theoretical rationality and operational standardization of the inversion process, while effectively improving the accuracy and reliability of the inversion results through multi-data fusion and residual optimization. This achieves precision and efficiency in non-invasive voltage measurement, making it suitable for scenarios with high requirements for measurement accuracy and stability.

[0043] The following section provides a detailed introduction to the differential non-invasive voltage measurement method based on the analog charge method.

[0044] 1. Inversion of a circularly arranged sensor array. For example... Figure 3 The diagram shows (including the conductor cross-section diagram, the mirrored conductor cross-section diagram, and the sensor placement location).P Based on the simulated charge method and the image method, the magnitude of the electric field around the single-line model conductor can be obtained as shown below.

[0045] (1).

[0046] Where E is the calculated magnitude of the electric field; d , h The conductor represents the position of the line charge in a rectangular coordinate system. d The horizontal position of the conductor. h The height of the conductor; x , y () represents the rectangular coordinate position of the electric field sensor. x This represents the rectangular coordinate position of the electric field sensor on the horizontal axis. y The vertical axis of the electric field sensor is its rectangular coordinate position. λ To simulate line charge density; ε is the dielectric constant of air.

[0047] Similarly, such as Figure 4 As shown (including the conductor cross-section diagram and the mirrored conductor cross-section diagram), based on the calculation formula of electromagnetics, the relationship between the surface potential of the conductor and the magnitude of the simulated charge can be obtained as follows.

[0048] (2).

[0049] in, V The potential at the surface of the conductor is denoted as σ. R 0 represents the radius of the conductor.

[0050] The voltage inversion matrix can be obtained as shown below.

[0051] (3).

[0052] (4).

[0053] in, This is the voltage inversion matrix; K It is a coefficient matrix.

[0054] When there are multiple electric field measurement points, that is, when there are multiple electric fields. E When the position parameters of multiple sensors correspond to a single voltage to be inverted, the corresponding matrix equation is an overdetermined equation, which generally cannot be solved to obtain a definite voltage value. This application employs least-squares regularization on this overdetermined equation. While ensuring solution stability, it uses data from multiple sets of electric field sensors to perform voltage inversion, obtaining the inverted voltage solution with the minimum overall residual. The final inversion calculation formula is shown below.

[0055] (5).

[0056] in, The magnitude is calculated for voltage inversion; K i Coefficient matrix K The Middle i One element; E i For the first i Electric field at each sensor; α This is a regularization parameter that improves the stability of the solution; M The number of sensors arranged in a ring; I To and K T K Identity matrices of the same dimension; This is the voltage inversion matrix.

[0057] In the inversion process, besides the electric field E In addition, the exact location of the conductor itself cannot be determined, and an electric field exists at this time. E Horizontal position of the conductor d and conductor height h With three unknown parameters, at least three sensors are needed to accurately solve the equation. Using the Gauss-Newton iterative method and least-squares regularization parameter correction, not only can the voltage on the conductor surface be determined, but the geometric position of the conductor can also be located. Finally, four sensors are used to locate the geometric position of the conductor, and the electric field values ​​measured by the sensors are as follows: Figure 6 As shown, X represents the horizontal position and Y represents the height; the final voltage inversion value and conductor geometric position positioning data are shown in Table 1.

[0058] Table 1 Voltage inversion and conductor geometric location data

[0059] Figure 5 The basic flowchart of the Gauss-Newton iteration method is shown below.

[0060] 1.1: First, set the initial height of the conductor. h and horizontal position d And set the maximum number of initial iterations. max_ iter and initialization of regularization parameters α .

[0061] 1.2: Subsequently, the calculation process of the Gauss-Newton iterative method is followed by iteration through the residuals, and the Tikhonov regularization method is used as an example for processing.

[0062] 1.3: Finally, determine the output result or continue iterating based on the residual and the number of iterations.

[0063] Figure 6 The resulting electric field cloud map is obtained, and four points are randomly selected in the map. X and Y in the map correspond to the horizontal position coordinates and height coordinates of these four points, respectively, and LEVEL corresponds to the electric field value at these four points.

[0064] 2. Optimization of Sensor-Wire Distance. In the previously discussed non-invasive voltage inversion method with a ring arrangement, the sensor position is independent of the wire position, which increases the installation difficulty in practical engineering. Furthermore, this method suffers from an overly complex coefficient matrix. This application adopts an improved ring arrangement scheme with fixed sensor positions, and the inversion formula is simplified as follows.

[0065] (6).

[0066] in, E 0 represents the electric field value measured by the sensor; r This is the distance from the sensor to the center of the wire.

[0067] When sensors are arranged in a ring, a unique coefficient can be obtained once the distance from the sensor to the center of the conductor is determined, greatly simplifying the calculation complexity. However, this inversion formula ignores the influence of mirror charges during the calculation process, so the inversion accuracy varies at different locations, and it is necessary to determine the installation angle range of the sensors.

[0068] 3. Sensor Deployment Location Determination. This application uses an approximation method to handle the interference of mirrored charges during the inversion process. To achieve higher voltage inversion accuracy, reasonable sensor deployment is necessary. A polar coordinate system is constructed with the conductor cross-section as the coordinate plane and the location of the simulated charge on the conductor as the origin, obtaining the distribution relationship between the inversion error and the corresponding angle. Considering the requirement for a large sensor output response and minimal external interference in the actual scenario, the sensor should be installed in the lower half-plane of the conductor. This ultimately yields the angle range with the highest voltage inversion accuracy. The optimal installation angle differs depending on whether a differential deployment scheme is used. The optimal angles for non-differential deployment are 0° and 180°, i.e., horizontal and at the same height as the conductor, while the optimal angles for differential deployment are concentrated around 45°, 135°, 225°, and 315°. Given the high electric field strength under the conductor, which makes the sensor more sensitive, and the influence of the external environment during actual installation, the optimal angles for non-differential deployment are 0° and 180°. For differential deployment, actual working conditions need to be considered, and the optimal deployment angles are 225° and 315°, with an allowable angle error limit of ±5°.

[0069] 4. Simulation Verification. The rationality of the inversion formula and deployment location in this application is verified through simulation. Furthermore, the differential structure is verified to suppress the effects of distant interference sources.

[0070] First, determine the conductor voltage, height, conductor radius, and distance from the sensor to the conductor center. Calculate the electric field value at the sensor deployment location using the vector superposition of the electric fields of the line charges. There are a total of four types.

[0071] Single-line model 1: The conductor height is 1.5m, the conductor radius is 1.5cm, and the applied voltage is 15kV.

[0072] Single-line model 2: The conductor height is 12.2m, the conductor radius is 15cm, and the applied voltage is 1200kV.

[0073] Single-line model 3: The conductor height is 17m, the conductor radius is 15cm, and the applied voltage is 1200kV.

[0074] Dual-line model 1: The height of the positive and negative conductors is 60m, the equivalent radius of the conductors is 39.62cm, the voltage applied to the positive and negative conductors is ±1200kV, and the distance between the conductors is 20m.

[0075] Second, the voltage inversion formula is substituted into the three sets of single-line models to obtain the inverted voltage values. The calculated voltage values ​​are compared with the voltage values ​​given by the conductor itself to obtain the inversion error. Subsequently, equidistant points are selected for the sensor deployment angle, and the inversion error under different installation angles is obtained to verify the optimal deployment position of the sensor. The angle interval is 15°, and the angle range is 0-360°. The final result is as follows: Figure 7 , Figure 8 and Figure 9 The error distribution curve is shown in the figure (the horizontal axis represents the installation angle of the sensor relative to the wire, the main vertical axis represents the full-scale error (%FS) of the non-differential structure inversion, and the secondary vertical axis represents the full-scale error (%FS) of the differential structure inversion).

[0076] in, Figure 7 The following is a diagram showing the error distribution in the low-pressure model, with the simulation parameters shown below.

[0077] (1) The conductor voltage is 15kV, the height is 1.5m, and the conductor radius is 1.5cm.

[0078] (2) The angle is sampled starting from 0° and at 15° intervals.

[0079] Ultimately, two error curve distribution curves with and without differential structure can be obtained. Based on the error, the optimal positions for the absence of differential structure are determined to be 0° and 180°, and the optimal inversion positions for the presence of differential structure are 225° and 315°.

[0080] Figure 8 The following is an error distribution diagram in high-pressure pipe bus model 1, and the simulation parameters are shown below.

[0081] (1) The conductor voltage is 1200kV, the height is 12.2m, and the conductor radius is 15cm.

[0082] (2) The angle is sampled starting from 0° and at 15° intervals.

[0083] Ultimately, two error curve distribution curves with and without differential structure can be obtained. Based on the error, the optimal positions for the absence of differential structure are determined to be 0° and 180°, and the optimal inversion positions for the presence of differential structure are 225° and 315°.

[0084] Figure 9 The following is an error distribution diagram in high-pressure pipe mother model 2. The simulation parameters are shown below.

[0085] (1) The conductor voltage is 1200kV, the height is 17m, and the conductor radius is 15cm.

[0086] (2) The angle is sampled starting from 0° and at 15° intervals.

[0087] Ultimately, two error curve distribution curves with and without differential structure can be obtained. Based on the error, the optimal positions for the absence of differential structure are determined to be 0° and 180°, and the optimal inversion positions for the presence of differential structure are 225° and 315°.

[0088] It can be seen that for different single-wire models, the optimal installation angles without differential are 0° and 180°. When differential is used, the optimal installation angle will vary depending on the specific conductor position parameters, but the optimal angles are also 225° and 315°, with an allowable error of ±5°.

[0089] III. Based on the bi-line model, the conductor height and horizontal position were adjusted to verify that the ring arrangement scheme could achieve accurate voltage inversion and predict conductor positions. First, the horizontal distance and height of the two conductors were adjusted, and the electric field difference was calculated by substituting different position parameters. Then, the obtained electric field difference was substituted into the Gauss-Newton iterative algorithm to calculate the final inverted voltage value. The final inversion results are shown in Table 2. At position 1, the conductor height is 60m and the conductor spacing is 20m; at positions 2 and 3, the conductor spacing is fixed at 20m, and the conductor heights are 61m and 62m respectively; at positions 4 and 5, the conductor height is fixed at 60m, and the conductor spacing is 21m and 19m respectively. As shown in Table 2, the iterative algorithm can effectively invert the conductor voltage, with an inversion error of less than 0.05%FS.

[0090] Table 2 Inversion errors at different locations

[0091] Table 2 shows the verification of the influence of bi-line split conductor disturbance on positive conductor voltage inversion in this application.

[0092] In the split conductor model, the conductor voltage is ±1200kV. Without considering conductor position disturbances, the conductor height and horizontal spacing are 60m and 20m, respectively. The split conductor is an eight-split conductor, with a single conductor diameter of 40.6mm and a spacer diameter of 900mm. The final equivalent radius of the split conductor is 396.2mm, and the conductor radius used in the inversion calculation is its equivalent radius. Ultimately, the overall inversion error of the voltage inversion values ​​for different conductor position parameters is better than 0.05%FS, achieving high-precision voltage inversion.

[0093] The beneficial effects of this application are as follows.

[0094] First, this application proposes a non-invasive voltage inversion method based on a ring arrangement, which uses a ring-arranged sensor array to form multiple sets of field-voltage equations, thereby improving the reliability and stability of voltage inversion through multiple sets of measurement data.

[0095] Secondly, the circular arrangement scheme of this application can solve the influence of conductor disturbance on measurement, and the parameters such as conductor height and horizontal displacement in the inversion expression can achieve self-iteration.

[0096] Furthermore, this application is the first to consider the impact of sensor deployment angle on inversion error. For different environments and whether the sensors constitute a differential array, the optimal sensor deployment angle is quantitatively analyzed by combining simulation of real scenarios. The optimal deployment angle for the non-differential scheme is 0° and 180°, i.e., horizontal and at the same height as the guide wire. The optimal deployment angle for the differential scheme is concentrated at 225° and 315°. The inversion error at this position is less than 0.05%FS, providing a scientific basis for the engineering implementation of different measurement scenarios.

[0097] Furthermore, this application verifies through simulation that the ring-shaped arrangement approach solves the problem of low inversion accuracy caused by positional disturbances of high-voltage split conductors. The inversion accuracy at different locations is shown in Table 2. After adjusting the conductor height and spacing using an iterative algorithm, the voltage inversion accuracy is better than 0.05%FS.

[0098] In one exemplary embodiment, a computer device is provided, which may be a server or a terminal, and its internal structure diagram may be as follows. Figure 10As shown, this computer device includes a processor, memory, input / output (I / O) interfaces, and a communication interface. The processor, memory, and I / O interfaces are connected via a system bus, and the communication interface is also connected to the system bus via the I / O interfaces. The processor provides computational and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system, computer programs, and a database. The internal memory provides the environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The database stores wire heights and wire radii. The I / O interfaces are used for exchanging information between the processor and external devices. The communication interface is used for communicating with external terminals via a network connection. When executed by the processor, the computer program implements a non-intrusive voltage inversion method based on a ring arrangement.

[0099] Those skilled in the art will understand that Figure 10 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.

[0100] In one exemplary embodiment, a computer device is also provided, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the above-described method embodiments.

[0101] In one exemplary embodiment, a computer-readable storage medium is provided storing a computer program that, when executed by a processor, implements the above-described method embodiments.

[0102] In one exemplary embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the above-described method embodiments.

[0103] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties, and the collection, use and processing of the relevant data must comply with relevant regulations.

[0104] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium, and when executed, it can include the processes of the embodiments described above. Any references to memory, databases, or other media used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can 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 can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM).

[0105] The databases involved in the embodiments provided in this application may include at least one type of relational database and non-relational database. Non-relational databases may include, but are not limited to, distributed databases based on blockchain. The processors involved in the embodiments provided in this application may be, but are not limited to, general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, etc.

[0106] The technical features of the above embodiments can be combined in any way. For the sake of brevity, 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.

[0107] This document uses specific examples to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the methods and core ideas of this application. Furthermore, those skilled in the art will recognize that, based on the ideas of this application, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this application.

Claims

1. A non-intrusive voltage inversion method based on a ring arrangement, characterized in that, The non-intrusive voltage inversion method based on a ring arrangement includes: Obtain the conductor height and conductor radius; Based on the conductor height and the conductor radius, the relationship between the conductor surface potential and the simulated charge is obtained; Based on the relationship between the surface potential of the conductor and the simulated charge, the voltage inversion matrix is ​​determined; Based on the voltage inversion matrix, the voltage inversion calculation formula is determined; Based on the voltage inversion calculation formula and multiple sets of electric field sensor data, voltage inversion is performed to obtain the inversion voltage solution with the minimum overall residual.

2. The non-intrusive voltage inversion method based on a ring arrangement according to claim 1, characterized in that, The relationship between the surface potential of the conductor and the simulated charge is as follows: ； in, V The potential at the surface of the conductor is denoted as σ. R 0 represents the radius of the conductor; λ To simulate line charge density, ε The dielectric constant of air; h This represents the height of the conductor.

3. The non-intrusive voltage inversion method based on a ring arrangement according to claim 1, characterized in that, The expression for the voltage inversion matrix is: ； ； in, This is the voltage inversion matrix; K It is a coefficient matrix; V The potential at the surface of the conductor is denoted as σ. R 0 represents the radius of the conductor; h The height of the conductor; d The horizontal position of the conductor; x This represents the rectangular coordinate position of the electric field sensor on the horizontal axis. y This represents the rectangular coordinate position of the electric field sensor along its vertical axis.

4. The non-intrusive voltage inversion method based on a ring arrangement according to claim 1, characterized in that, The voltage inversion calculation formula is as follows: ； in, The magnitude is calculated for voltage inversion; K i Coefficient matrix K The Middle i One element; E i For the first i Electric field at each sensor; α For regularization parameters; M The number of sensors arranged in a ring; I It is the identity matrix; This is the voltage inversion matrix.

5. The non-intrusive voltage inversion method based on a ring arrangement according to claim 1, characterized in that, Based on the voltage inversion calculation formula and multiple sets of electric field sensor data, voltage inversion is performed to obtain the inversion voltage solution with the minimum overall residual, specifically including: The regularization parameters were corrected using the Gauss-Newton iterative method, and Tikhonov regularization with least squares was applied to obtain the processed regularization parameters. Based on the processed regularization parameters and the voltage inversion calculation formula, voltage inversion is performed using data from multiple sets of electric field sensors to obtain the inversion voltage solution with the smallest overall residual.

6. The non-intrusive voltage inversion method based on a ring arrangement according to claim 1, characterized in that, The non-intrusive voltage inversion method based on ring arrangement also includes: When the deployment location of the electric field sensor is determined, the voltage inversion calculation formula simplifies to: ； in, The magnitude is calculated for voltage inversion; E 0 represents the electric field value measured by the sensor; h The height of the conductor; R 0 represents the radius of the conductor; r The distance from the sensor to the center of the wire; The electric field sensor is deployed in both non-differential and differential locations.

7. The non-intrusive voltage inversion method based on a ring arrangement according to claim 6, characterized in that, The optimal angles for the non-differential deployment are 0° and 180°.

8. The non-intrusive voltage inversion method based on a ring arrangement according to claim 6, characterized in that, The optimal angles for the differential deployment are 225° and 315°, with an allowable angle error of ±5°.

9. A computer device, comprising: A memory, a processor, and a computer program stored in the memory and capable of running on the processor, characterized in that the processor executes the computer program to implement the non-invasive voltage inversion method based on a ring arrangement as described in any one of claims 1-8.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the non-intrusive voltage inversion method based on a ring arrangement as described in any one of claims 1-8.

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