Voltage measurement sensor array position optimization method, system, device, and medium

Abstract

This invention discloses a method, system, device, and medium for optimizing the position of a voltage measurement sensor array, relating to the field of voltage sensor position optimization. The method includes acquiring the synthesized induced differential voltage signal between each pair of probes in a three-phase overhead transmission line sensor; calculating the measured voltage and conductor position measurements based on the synthesized induced differential voltage signal; setting constraints based on the radius and inter-electrode angle of the sensor arc array; setting an objective function based on the measured voltage and conductor position measurements; and using a particle swarm optimization algorithm to optimize the position of the sensor arc array, obtaining the optimal position of the sensor arc array. This invention can reduce the measurement error of the measured voltage.

Description

Technical Field

[0001] This invention relates to the field of voltage sensor position optimization, and in particular to a method, system, device, and medium for optimizing the position of a voltage measurement sensor array. Background Technology

[0002] Online monitoring of overhead transmission lines is crucial for identifying line conditions (such as faults, sag, wind deflection, galloping, etc.). Accurately understanding the line condition can help avoid many accidents or losses. Currently, voltage measurement in power grids still mainly uses capacitive and electromagnetic voltage transformers. However, their size, structure, insulation, and cost are no longer suitable for the development of intelligent and automated power grids. Therefore, non-contact measurement methods for overhead transmission lines have become a hot research topic. Most recent applications have adopted inverse electric field problem algorithms, solving for the voltage on the transmission line after measuring the electric field near the line. However, the development of three-phase measurement systems still faces computational difficulties in solving the final overdetermined equations with no or multiple solutions. Therefore, a three-pair pole-dual-probe voltage sensor array distributed on the transmission tower has the advantages of simple calculation and ease of subsequent embedded development because it inverts the electric field in a two-dimensional plane and uses calibration coefficients to compensate for errors in the results in 3D space.

[0003] However, the position of the probe sensor array significantly impacts the measurement voltage error and the wire coordinate inversion error; therefore, optimizing the sensor position is essential. Current optimization methods include obtaining multiple sets of measurements for interpolation fitting, obtaining the extreme value of the fitting function, and other model-driven optimization methods. However, these methods have approximation steps, resulting in large errors and making them unsuitable for sensors with high position sensitivity. Therefore, for this application scenario, data-driven machine learning algorithms have significant advantages. A method to reduce measurement errors is needed. Summary of the Invention

[0004] The purpose of this invention is to provide a method, system, device, and medium for optimizing the position of a voltage measurement sensor array, which can reduce the measurement error of the measured voltage.

[0005] To achieve the above objectives, the present invention provides the following solution:

[0006] The present invention also provides a method for optimizing the position of a voltage measurement sensor array, comprising:

[0007] Acquire the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor;

[0008] The measured voltage and conductor position are calculated based on the synthesized induced differential voltage signal.

[0009] Constraints are set based on the radius and inter-electrode angle of the sensor arc array. An objective function is set based on the measured voltage and the measured value of the conductor position. The position of the sensor arc array is optimized using the particle swarm optimization algorithm to obtain the optimal position of the sensor arc array.

[0010] Optionally, calculating the measured voltage and conductor position based on the synthesized induced differential voltage signal specifically includes:

[0011] The voltage equation of the conductor under test is constructed based on the synthesized induced differential voltage signal.

[0012] The voltage equation of the conductor to be measured is solved using Newton's iteration method to obtain the measured voltage and conductor position values.

[0013] Optionally, the expression for phase B of the voltage equation of the conductor under test is:

[0014] Where i = 1, 2, 3

[0015] Among them, U B The voltage of the conductor under test in phase B, R i εi represents the distance from the center of the probe closest to the conductor being tested in the i-th probe pair; ε1 represents the dielectric constant of the conductor insulation layer, selected according to the conductor material; ε0 represents the dielectric constant of air; r0 represents the radius of the cable aluminum core, selected by the type of conductor being tested; d2 represents the distance between the probe positioning arc and the equivalent shielding arc, set according to the device installation requirements; d1 represents the distance between probes in the same group; θ i Let θ1, θ2, and θ3 represent the angles of the line connecting the first, second, and third probe pairs to the center point of the cable's electric field intensity, deviating from the vertical axis y, respectively. u2 is the voltage induced on the second set of measuring probe pairs. Bi ε is the value obtained by vector decomposition of u2, and ε3 is the dielectric constant of the insulating medium.

[0016] Optionally, the constraint condition is expressed as 1.5m≤R≤5m, 5°≤θ≤45°; where R is the distance from the center of the sensor positioning circle to the sensor probe, and θ is the sector angle formed by the line connecting the sensor probe and the positioning circle.

[0017] The present invention also provides a voltage measurement sensor array position optimization system, comprising:

[0018] The acquisition module is used to acquire the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor;

[0019] The calculation module is used to calculate the measured voltage and conductor position based on the synthesized induced differential voltage signal;

[0020] The optimization module is used to set constraints based on the radius and inter-electrode angle of the sensor arc array, set an objective function based on the measured voltage and the measured value of the conductor position, and use the particle swarm optimization algorithm to optimize the position of the sensor arc array to obtain the optimal position of the sensor arc array.

[0021] Optionally, the calculation module specifically includes:

[0022] The construction unit is used to construct the voltage equation of the conductor under test based on the synthesized induced differential voltage signal;

[0023] The solution unit is used to solve the voltage equation of the conductor to be measured using Newton's iteration method to obtain the measured voltage and conductor position values.

[0024] The present invention also provides an electronic device, comprising:

[0025] One or more processors;

[0026] A storage device on which one or more programs are stored;

[0027] When the one or more programs are executed by the one or more processors, the one or more processors implement the method.

[0028] The present invention also provides a computer storage medium having a computer program stored thereon, wherein the computer program, when executed by a processor, implements the method described thereon.

[0029] According to specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0030] This invention utilizes a probe in a sensor to acquire a synthetic induced differential voltage signal and calculates the measured voltage and conductor position. During the optimization of the sensor arc array position, a particle swarm optimization algorithm is used, which has the advantages of fast convergence, few parameters, and simple algorithm application, and can greatly reduce measurement errors. Attached Figure Description

[0031] To more clearly illustrate the technical solutions in the embodiments of the present invention 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 the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0032] Figure 1 This is a schematic diagram of the sensor measurement principle.

[0033] Figure 2 A schematic diagram of the arrangement of voltage monitoring sensors for overhead transmission lines;

[0034] Figure 3 A schematic diagram of the three-phase decomposition for measuring the differential voltage induced on the probe;

[0035] Figure 4 Optimize the side view for sensor location;

[0036] Figure 5 Optimize the front view for sensor location;

[0037] Figure 6 Optimize the region map for the position of the electrical sensor;

[0038] Figure 7 This is a schematic diagram of the voltage measurement sensor array position optimization method provided by the present invention;

[0039] Figure 8 The flowchart illustrates the voltage measurement sensor array position optimization method provided by this invention. Detailed Implementation

[0040] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0041] The purpose of this invention is to provide a method, system, device, and medium for optimizing the position of a voltage measurement sensor array, which can reduce the measurement error of the measured voltage.

[0042] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0043] like Figure 7 and Figure 8 As shown, the present invention provides a method for optimizing the position of a voltage measurement sensor array, comprising:

[0044] Step 101: Obtain the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor; each sensor in this invention includes three sets of metal probes.

[0045] Obtain the differential voltage between each pair of probes in the three sets of probe pairs; select the initial position parameter values ​​R and θ of the sensor array; obtain the synthetic induced differential voltage signal between each pair of probes around the three-phase overhead transmission line through the metal probe pairs in the sensor, and obtain 9 equations containing 9 unknowns containing the voltage and position coordinates of the measured conductor; specifically: Figure 1This illustration shows a structural model of a three-pair-dual-probe voltage sensor according to a specific embodiment of the present invention. Taking phase B as an example, the three-pair-dual-probe structure consists of three pairs of radially arranged, ring-shaped metal detection points (such as...) on one side of the tower, below the three-phase conductors. Figure 1 The metal detection points are composed of 3×2 identical iron probes, with each pair of probes separated by a partition layer. (Positions ①②③ in the diagram)

[0046] Step 102: Calculate the measured voltage and conductor position based on the synthesized induced differential voltage signal.

[0047] Step 102 specifically includes: constructing the voltage equation of the conductor to be measured based on the synthesized induced differential voltage signal; solving the voltage equation of the conductor to be measured using the Newton-Raphson iteration method to obtain the measured voltage and conductor position values.

[0048] Based on the three acquired differential voltages, the measured voltage U is calculated. A U B U C and the coordinates of the conductor position measurement value P A (x A y A ), P B (x B y B ), P C (x C y C Based on the distance R from the center of the sensor positioning circle to the sensor probe, the sector angle θ formed by the line connecting the sensor probe and the positioning circle, the dielectric constant v1 of the conductor insulation layer, the dielectric constant v0 of air, the dielectric constant ε3 of the insulating medium, the radius r0 of the cable aluminum core, the radius r1 of the cable containing the insulation layer, and the distance d2 between each pair of probes, taking phase B as an example, the voltage equation set of the conductor to be measured is reconstructed according to the electric field theory.

[0049] The expression for phase B of the voltage equation of the conductor to be measured is:

[0050] Where i = 1, 2, 3 (1)

[0051] Among them, U B The voltage of the conductor under test in phase B, R i εi represents the distance from the center of the probe closest to the conductor being tested in the i-th probe pair, and is an unknown quantity; ε1 represents the dielectric constant of the conductor insulation layer, selected according to the conductor material; ε0 represents the dielectric constant of air, a constant; r0 represents the radius of the cable aluminum core, selected by the type of conductor being tested; d2 represents the distance between the probe positioning arc and the equivalent shielding arc, set as a constant according to the device installation requirements; d1 represents the distance between probes in the same group; θi Let θ1, θ2, and θ3 represent the angles of the line connecting the first, second, and third probe pairs to the center point of the cable's electric field intensity, deviating from the vertical axis y, respectively. These are unknowns. u2 is the voltage induced on the second set of measuring probe pairs. Bi The value obtained from the vector decomposition of u² is an unknown quantity. ε³ is the dielectric constant of the insulating medium. R i The calculation formula is as follows:

[0052]

[0053] In the formula, R1 represents the distance between the probe on phase B and the origin. R2 represents the distance between the probe closest to the conductor being tested in the first probe pair and the center of the conductor. R3 represents the distance between the probe closest to the conductor being tested in the second probe pair and the center of the conductor. B Let y be the x-coordinate of the cross-sectional position of phase B conductor. B Let be the ordinate of the cross-sectional position of phase B conductor. Let the distance between the probe on phase B and the origin be... R0 represents the radius of the arc of the measurement array. θ1, θ2, θ3 can be represented as:

[0054]

[0055] Step 103: Set constraints based on the radius and inter-electrode angle of the sensor arc array, set the objective function based on the measured voltage and the measured value of the conductor position, and use the particle swarm optimization algorithm to optimize the position of the sensor arc array to obtain the optimal position of the sensor arc array.

[0056] The constraint conditions are expressed as 1.5m≤R≤5m, 5°≤θ≤45°; where R is the distance from the center of the sensor positioning circle to the sensor probe, and θ is the sector angle formed by the line connecting the sensor probe and the positioning circle.

[0057] Taking a single-circuit goblet-shaped transmission tower as an example, Figure 2 The sensor arrangement is shown; due to the special nature of overhead power lines, the sensors are placed directly beneath them. Simultaneously, the internal structure of the sensor probe is also arranged in the aforementioned arc-shaped configuration. According to the principle of electric field superposition, the measured sensor voltage needs to be decomposed for different field sources, and a voltage reconstruction algorithm is used for calculation. That is, because multiple conductors act simultaneously, the sensor output response is the superposition of the responses produced by each conductor acting individually. Further phase decomposition of the sensor is as follows... Figure 3 As shown.

[0058] Figure 3 In the process, u1 (the measurement value of probe pair 1) obtained through three pairs of probes can be vector decomposed into uA1 (The decomposition value of probe 1 in direction A), u B1 (The decomposition value of probe u1 in the B direction), u C1 (u1, the decomposition value of probe pair 1 in the C direction); u2 (the measurement value of probe pair 2), which can be vector decomposed into u A1 (The decomposition value of probe u2 in the direction of A), u B1 (The decomposition value of probe u2 in the B direction), u C1 (u2, the decomposition value of probe pair 2 in the C direction); u3 (the measured value of probe pair 3) can be vector decomposed into u A1 (The decomposition value of probe u3 in the direction of A), u B1 (The decomposition value of probe u3 in the B direction), u C1 (The decomposition value of probe u3 in the C direction). This assumes that the three-phase voltages of the overhead line ABC are 0, 120, and 240 degrees respectively. To decompose them to produce a unique solution, a necessary and sufficient condition is to know the ratio of the magnitudes of the induced voltages. Taking u1 as an example, the induced voltage u A1 u B1 u C1 The ratio is shown in (4).

[0059]

[0060] Among them, R A1 R is the distance between probe 1 and wire A. B1 R is the distance between probe 1 and wire B. C1 θ is the distance between probe 1 and wire C; A1 θ is the angle θ is the deviation of the line connecting the first pair of probes to the center point of phase A conductor from the vertical axis y. B1 θ is the angle θ is the deviation of the line connecting the first pair of probes to the center point of phase B conductor from the vertical axis y. C1 The angle between the line connecting the first pair of probes and the center point of the C-phase conductor and the vertical axis y.

[0061] In equation (4), a1, b1, and c1 are constants. Similarly, the proportional values ​​of other induced voltages a2, b2, c2 and a3, b3, c3 can be obtained, and the corresponding phase decomposition is performed to obtain a unique solution. For ease of description, the results are represented in matrix form, as shown in equation (5).

[0062]

[0063] Where a2, b2, c2 and a3, b3, c3 are the vector decomposition ratios of the induced voltages u2 and u3 obtained from the same principle as equation (4); R A2 R is the distance between probe 2 and wire A. B2R is the distance between probe 2 and wire B. C2 R is the distance between probe 2 and wire C; A3 R is the distance between probe 3 and wire A. B3 R is the distance between probe 3 and wire B. C3 θ is the distance between probe 3 and wire C; A2 θ is the angle θ is the deviation of the line connecting the second pair of probes to the center point of phase A conductor from the vertical axis y. B2 θ is the angle θ is the deviation of the line connecting the second pair of probes to the center point of phase B conductor from the vertical axis y. C2 θ is the angle between the line connecting the second pair of probes and the center point of phase C conductor and the vertical axis y. A3 θ is the angle θ is the deviation of the line connecting the third pair of probes to the center point of phase A conductor from the vertical axis y. B3 θ is the angle θ is the deviation of the line connecting the third pair of probes to the center point of phase B conductor from the vertical axis y. C3 The angle between the line connecting the third pair of probes and the center point of the C-phase conductor and the vertical axis y is given. According to equation (5), u A1 u B1 u C1 ;u A2 u B2 u C2 ;u A3 u B3 u C3 The value of can be obtained from the following system of equations.

[0064]

[0065] Among them, R A1 ,R A2 ,R A3 cosθ A1 cosθ A2 cosθ A3 Calculation formula:

[0066]

[0067] Substituting equations (6) and (7) back into equation (5), we can formulate a system of equations containing 9 equations and 9 unknown variables, thereby solving for the 3 coordinates (x, y) of the three-phase line. A y A ), (x B y B ), (x C y C ), and 3 voltages to be measured U A U B U CHowever, it's important to note that many nonlinear terms in this equation system cannot be solved directly. Therefore, Newton's iteration function in Matlab can be used to solve this system of equations. This allows for non-contact measurement of overhead line voltage.

[0068] Establish optimized sweet zones based on measurement needs. Specifically, in Figure 4 , Figure 5 and Figure 6 In this process, the sensor's position in the measurement space ultimately affects accuracy and calibration coefficients. Therefore, the sensor position should be fixed and optimized based on the calculated error. For example... Figure 5 As shown in the main view of the tower, the sensor can be installed at the "sensing node" shown in the figure, and the corresponding side view position is as follows. Figure 4 As shown. Figure 6 The diagram illustrates the optimized region derived from application requirements. The optimized probe position can be one of the black positions 1, 2, and 3 (corresponding to R and θ, where R is the distance from the center of the sensor positioning circle to the sensor probe, and θ is the sector angle formed by the line connecting the sensor probe and the positioning circle) or a position further out (corresponding to R' and θ'). The theoretical optimized region is as follows: Figure 6 As shown in the diagram, from an implementation perspective, optimization should be performed within a region that meets insulation requirements and ease of installation; this region is called the sweet spot. More precisely, within this region, the distance R from the center of the sensor positioning circle to the sensor probe is within the safety requirements, and the sector angle θ formed by the line connecting the sensor probe and the positioning circle is within the width of the tower steel frame. In this invention, taking a 110kV goblet-shaped tower as an example, the safe operating insulation distance is 1.5 meters. Based on the tower height and width, the selected sweet spot range is a sector area of ​​1.5m ≤ R ≤ 5m, 5° ≤ θ ≤ 45°. This is done to facilitate installation and fixation in actual transmission towers.

[0069] In this sweet spot, the particle swarm optimization (PSO) algorithm is used to optimize the sensor array position. The PSO algorithm has advantages such as fast convergence, few parameters, algorithm simplicity, and ease of implementation. For example... Figure 7 As shown in the optimization flowchart, the first step is to select a set of particles as the initial value (R). initial θ initial At this point, the iteration number k = 1. The constraints are set for the sweet spot region: 1.5m ≤ R ≤ 5m, 5° ≤ θ ≤ 45°. During this process, unknown variables, including R and θ, are set as states for each set. The objective is to minimize the average error of the voltage and position measurements, where the measurements are solved according to the equations in step 102, thereby solving for the measurement error based on the true values.

[0070] Based on the calculated error value e A (A-phase voltage measurement error), e B(B-phase voltage measurement error), e C (C-phase voltage measurement error), e pA (Position error of phase A conductor), e pB (Position error of phase B conductor), e pC (C-phase conductor position error) Establish an optimization objective function:

[0071]

[0072] Among them, e i e A e B e C e represents the calculation error of the three-phase conductor voltage. Pi e pA e pB e pC Calculate the error value for the position of the three-phase conductors.

[0073] Furthermore, e A e B e C P eA P eB P eC The calculation formula is:

[0074] In the formula, i = A, B, C (9)

[0075] Among them, U i U represents the measured three-phase conductor voltage, where U is the actual effective value on the corresponding conductor.

[0076]

[0077] In the formula, (x i y i (x') represents the actual position coordinates of the corresponding phase conductor. i y' i ) represents the coordinates of the corresponding phase conductor obtained from the solution.

[0078] The fitness value of each particle is calculated based on the objective function and constraint evaluation function to determine the local optimum (gbest) and the particle optimum (pbest). Based on an iterative update algorithm, the optimal position of each particle in the swarm and the optimal position of the swarm are calculated at each iteration. The velocity and position of each particle are updated according to these values, as shown in the following equation:

[0079]

[0080] In the formula, and Here, g1 and g2 are the velocity and position of particle i in the kth iteration, and g1 and g2 are acceleration coefficients that can be set to constant values. k i This represents the optimal position in the iteration, where r1 and r2 are random numbers between 0 and 1. k This is the globally optimal position. After updating the velocity and position, k = k + 1, generating a new generation of particles. Repeat the above process until the number of iterations reaches the set value k. max Or the change in the optimal value is less than 10 in 200 iterations. -2 The process ends when the optimal solution for the position parameters with the minimum error is obtained, thus achieving the best position (R). optimized θ optimized ), where R optimized θ is the optimal distance from the center of the sensor positioning circle to the sensor probe. optimized This is the optimal value of the sector angle formed by the line connecting the sensor probe and the positioning circle.

[0081] This invention obtains three induced differential voltages as input values ​​by sensing the spatial electric field intensity generated by three pairs of arc-shaped metal probes erected on an overhead transmission tower. It then solves a system of nine equations containing nine unknowns, including the three-phase measured voltage values ​​and the conductor position coordinates. Based on the obtained values, the measurement error is calculated, and the optimized parameters, objective function, and iterative constraints are constructed. Finally, a particle swarm optimization algorithm is used to optimize the sensor array position.

[0082] The present invention also provides a voltage measurement sensor array position optimization system, comprising:

[0083] The acquisition module is used to acquire the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor.

[0084] The calculation module is used to calculate the measured voltage and conductor position based on the synthesized induced differential voltage signal.

[0085] The optimization module is used to set constraints based on the radius and inter-electrode angle of the sensor arc array, set an objective function based on the measured voltage and the measured value of the conductor position, and use the particle swarm optimization algorithm to optimize the position of the sensor arc array to obtain the optimal position of the sensor arc array.

[0086] As an optional implementation method, the calculation module specifically includes:

[0087] The construction unit is used to construct the voltage equation of the conductor under test based on the synthesized induced differential voltage signal.

[0088] The solution unit is used to solve the voltage equation of the conductor to be measured using Newton's iteration method to obtain the measured voltage and conductor position values.

[0089] The present invention also provides an electronic device, comprising: one or more processors; a storage device having one or more programs stored thereon; wherein, when the one or more programs are executed by the one or more processors, the one or more processors implement the method described herein.

[0090] The present invention also provides a computer storage medium having a computer program stored thereon, wherein the computer program, when executed by a processor, implements the method described thereon.

[0091] This invention includes: acquiring the voltage and conductor position coordinate errors in an optimized area beneath an overhead power transmission tower; based on the acquired error values, using a particle swarm optimization (PSO) algorithm to solve for the optimal position; and acquiring the angle and radius of the arc-shaped distribution of a three-pole-two-probe array to determine the array position. This invention is based on a three-pole-two-probe non-contact overhead power transmission line voltage measurement array. PSO optimization is used within the optimization sweet spot, offering advantages such as fast convergence, fewer parameters, and simple algorithm application. The array position optimized by this method can significantly reduce measurement errors. This invention, based on the particle swarm optimization algorithm, constructs an error optimization objective function based on a three-pole-two-probe structure. Iterative constraints are established through the optimization sweet spot of the target optimal position. By selecting initial values, the evaluation function calculates the fitness value of each particle to determine its individual and global optimal positions. Then, the velocity and position of each particle are updated based on these values. Finally, the optimal solution for the sensing array is obtained, thereby reducing errors and significantly improving measurement accuracy.

[0092] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the systems disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the descriptions are relatively simple; relevant parts can be referred to the method section.

[0093] This document uses specific examples to illustrate the principles and implementation methods of the present invention. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of the present invention. Furthermore, those skilled in the art will recognize that, based on the ideas of the present invention, 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 the present invention.

Claims

1. A method for optimizing the position of a voltage measurement sensor array, characterized in that, include: Acquire the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor; The calculation of the measured voltage and conductor position based on the synthesized induced differential voltage signal specifically includes: constructing the voltage equation of the conductor to be measured based on the synthesized induced differential voltage signal; and solving the voltage equation of the conductor to be measured using the Newton-Raphson iteration method to obtain the measured voltage and conductor position. The expression for phase B of the voltage equation of the conductor to be measured is: in, The voltage of the conductor to be measured in phase B is... Indicates the first i The distance between the probe and the center of the conductor being tested, which is closest to the conductor being tested; This represents the dielectric constant of the conductor insulation layer. The dielectric constant of the conductor insulation layer is selected based on the conductor material. The dielectric constant of air. The radius of the cable's aluminum core is determined by the type of conductor being tested. d 2 This represents the distance between the probe positioning arc and the equivalent shielding layer arc, and is set according to the device installation requirements. d 1 represents the distance between probes in the same group. θ i for θ 1 , θ 2 , θ 3 , respectively, represent the angles of the line connecting the 1st, 2nd, and 3rd probe pairs to the center point of the cable's electric field intensity off the vertical axis y. u 2 The voltage induced by the second set of measuring probes. for u 2 The value obtained by vector decomposition, is the dielectric constant of the insulating medium; Constraints are set based on the radius and inter-electrode angle of the sensor arc array. An objective function is set based on the measured voltage and the measured value of the conductor position. The position of the sensor arc array is optimized using the particle swarm optimization algorithm to obtain the optimal position of the sensor arc array.

2. The voltage measurement sensor array position optimization method according to claim 1, characterized in that, The expression for the constraint condition is: ;in, R The distance from the center of the sensor positioning circle to the sensor probe. θ The angle formed by the line connecting the sensor probe and the positioning circle is the sector-shaped angle.

3. A voltage measurement sensor array position optimization system, characterized in that, include: The acquisition module is used to acquire the composite induced differential voltage signal between each pair of probes in the three-phase overhead transmission line sensor; The calculation module is used to calculate the measured voltage and conductor position based on the synthesized induced differential voltage signal; The calculation module specifically includes: a construction unit, used to construct the voltage equation of the conductor to be measured based on the synthetic induced differential voltage signal; and a solution unit, used to solve the voltage equation of the conductor to be measured using Newton's iteration method to obtain the measured voltage and conductor position values. The expression for phase B of the voltage equation of the conductor to be measured is: in, The voltage of the conductor to be measured in phase B is... Indicates the first i The distance between the probe and the center of the conductor being tested, which is closest to the conductor being tested; This represents the dielectric constant of the conductor insulation layer. The dielectric constant of the conductor insulation layer is selected based on the conductor material. The dielectric constant of air. The radius of the cable's aluminum core is determined by the type of conductor being tested. d 2 This represents the distance between the probe positioning arc and the equivalent shielding layer arc, and is set according to the device installation requirements. d 1 represents the distance between probes in the same group. θ i for θ 1 , θ 2 , θ 3 , respectively, represent the angles of the line connecting the 1st, 2nd, and 3rd probe pairs to the center point of the cable's electric field intensity off the vertical axis y. u 2 The voltage induced by the second set of measuring probes. for u 2 The value obtained by vector decomposition, is the dielectric constant of the insulating medium; The optimization module is used to set constraints based on the radius and inter-electrode angle of the sensor arc array, set an objective function based on the measured voltage and the measured value of the conductor position, and use the particle swarm optimization algorithm to optimize the position of the sensor arc array to obtain the optimal position of the sensor arc array.

4. An electronic device, characterized in that, include: One or more processors; A storage device on which one or more programs are stored; When the one or more programs are executed by the one or more processors, the one or more processors cause the one or more processors to implement the method as described in any one of claims 1 to 2.

5. A computer storage medium, characterized in that, It stores a computer program thereon, wherein the computer program, when executed by a processor, implements the method as described in any one of claims 1 to 2.

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