A method for setting the protection height based on the principle of charge accumulation and mine elimination by a plasma lightning arrester

By measuring and calculating the protection angle and tangent value of the plasma lightning resistor (PLP), combined with the equivalent hyperbolic model, the protection height of PLP is calculated, which solves the problem of inaccurate calculations of traditional methods and improves the accuracy and effectiveness of the protection range.

CN119518647BActive Publication Date: 2025-06-17KUNMING UNIV OF SCI & TECH
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Patent Information

Application Number
CN202510087454.5
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-01-20
Publication Date
2025-06-17
Estimated Expiration
2045-01-20

AI Technical Summary

Technical Problem

The traditional lightning protection range calculation method of lightning protection devices is not suitable for plasma lightning resistors (PLPs), which leads to the reduction of the protection capability of PLPs with the increase of distance in actual working conditions, especially at the edge of the protection angle range, where there is still a risk of lightning strike.

Method used

By measuring the protection angle of PLP, the height of the protected object and the horizontal spacing between PLP and the protected object, the residual angle value and tangent value of the protection angle are calculated, and combined with the equivalent hyperbolic model, the protection height of PLP is calculated.

Benefits of technology

This method can more accurately calculate the protection range of the plasma lightning resistor, solve the problem that traditional methods do not match PLP protection capabilities, and effectively reduce the risk of lightning strikes at the edge of the protection angle range.

✦ Generated by Eureka AI based on patent content.

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Abstract

This application relates to the technical field of relay protection control in power systems, and particularly to a protection height setting method based on the principle of charge accumulation and lightning elimination by a plasma lightning arrester. According to the range of air field strength distortion during the operation of the PLP, the protection range of the PLP is approximately equivalent to the hyperbolic envelope range, the slope angle of the hyperbolic asymptote is equivalent to the lightning protection angle of the PLP, and the distance from the hyperbolic focus to the origin is equivalent to the protection height of the PLP. The relationship between the actual protection range and the protection angle of the PLP is approximately equivalent using the relationship between the hyperbola and the asymptote. Therefore, based on the hyperbolic protection range basic model corresponding to the PLP, the protection height value of the PLP is solved using the protection angle of the PLP, the height of the protected object, and the horizontal distance between the PLP and the protected object. The aim is to solve the problem of how to accurately calculate the protection height of the plasma lightning arrester.
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Description

Technical Field

[0001] The present application relates to the technical field of relay protection control in power systems, and particularly to a protection height setting method based on the principle of charge accumulation and lightning elimination of a plasma lightning arrester. Background Art

[0002] The plasma lightning arrester (PLP) is a lightning protection device that has been widely used in recent years. Its protection angle is..., and in high-altitude areas, it can even reach more than..., achieving a protection radius more than 10 to 14 times the height of the needle tip in a passive plasma lightning protection system. Its principle is to ionize the air around the device to generate a high concentration of ions to neutralize the cloud charge and its induced charge on the ground, making the equivalent electrode plate between the cloud and the ground a leaky bad capacitor that cannot be fully charged. Different from traditional lightning protection devices that lead lightning into the ground, the PLP device does not generate induced overvoltage. In the distorted electric field range formed within its protection angle, since the generated ions will diverge upward to cancel the negative (positive) charge of the cloud electric field ionization developing downward, and diverge downward to cancel the positive (negative) charge of the ground or the protected object ionization developing upward, the field strength within this range is weakened, effectively suppressing the formation and development of conductance and thus suppressing the lightning strike caused by it.

[0003] Traditional protection range calculation methods such as the rolling sphere method and the broken line method are mainly applied to the calculation of the protection range of lightning rods or lightning wires. Their calculation is based on the principle of lightning rod attracting lightning, and the protection range is calculated through the final jump distance of the lightning leader development, that is, the striking distance.

[0004] However, since the PLP does not have a lightning attracting effect, the protection range calculation of traditional lightning protection devices is not fully applicable to the PLP. In actual working conditions, the farther away from the PLP, the lower its protection ability. The farther away along the protection angle, that is, the asymptote direction, the worse its protection ability, and it does not change linearly all the time. When using the traditional method to calculate the protection range, the protected objects at the edge of the protection range still have the risk of being struck by lightning.

[0005] The above content is only used to assist in understanding the technical solution of the present application, and does not represent an admission that the above content is prior art. Summary of the Invention

[0006] The main purpose of the present application is to provide a protection height setting method based on the principle of charge accumulation and lightning elimination of a plasma lightning arrester, aiming to solve the problem of how to accurately calculate the protection height of the plasma lightning arrester.

[0007] To achieve the above purpose, a protection height setting method based on the principle of charge accumulation and lightning elimination of a plasma lightning arrester provided by the present application includes:

[0008] Measure the protection angle of the PLP, the height of the object to be protected, and the horizontal distance between the PLP and the object to be protected;

[0009] Calculate the complementary angle value of the protection angle and calculate the tangent value of the complementary angle value;

[0010] Calculate the protection height of the PLP according to the tangent value, the height of the object to be protected, and the horizontal distance;

[0011] Wherein, the calculation expression of the protection height is:

[0012]

[0013] In the formula, m is the complementary angle of the PLP protection angle tangent value , h0 is the height of the object to be protected, x0 is the horizontal distance between the PLP and the object to be protected, .

[0014] Optionally, the derivation steps of the calculation expression of the protection height include:

[0015] S1. Taking the vertex of the installation location of the PLP, establish an equivalent hyperbola equation and its asymptote model:

[0016]

[0017]

[0018]

[0019] In the formula, a is the real semi-axis length of the hyperbola equation, b is the imaginary semi-axis length of the hyperbola equation, and c is the distance from the focus to the origin;

[0020] S2. Let the complementary angle of the protection angle be equal to the slope angle of the hyperbola asymptote, that is , and obtain:

[0021]

[0022] S3. Assume the installation height is , and let , that is, the focal distance is equal to the installation height of the PLP, then:

[0023]

[0024] S4. Let the height of the object to be protected be h0, and the horizontal distance between the PLP and the object to be protected be x0, and obtain the vertex coordinates P(x0, y0) of the object to be protected, where ;

[0025] S5. Let , substitute the coordinates P(x0, y0) into , and by combining with the previous formula, we get:

[0026]

[0027] S6. Let , and solve the quadratic equation of one variable about H x :

[0028]

[0029] After arrangement, we get:

[0030]

[0031] S7. Assume that H x needs to satisfy , then finally we get:

[0032]

[0033] Optionally, let , , then the calculation expression of the protection height is also expressed as:

[0034]

[0035] Optionally, the protection angle of the PLP is associated with the altitude, air density, humidity, and temperature where the PLP is located.

[0036] Optionally, the value range of the protection angle is 84° - 86°.

[0037] This application has at least the following technical effects:

[0038] 1. By establishing an equivalent hyperbola model for the charge dissipation principle and its dissipation range in the thundercloud and ground electric field during the actual operation of the PLP, the calculated protection range of the plasma lightning arrester is closer to the actual situation;

[0039] 2. By calculating the minimum installation height of the PLP required when the height of the object to be protected is determined, the problem that the setting value of the traditional installation height calculation does not match the protection ability of the PLP is effectively solved. Description of the Drawings

[0040] Figure 1 is a schematic flowchart of the first embodiment of a method for setting the protection height based on the charge accumulation and lightning elimination principle of a plasma lightning arrester in this application;

[0041] Figure 2 is a schematic diagram of the protection range of the PLP involved in the embodiment of this application;

[0042] Figure 3 Schematic diagram of the protection range after the PLP height is set in the embodiment of the present application;

[0043] The realization, functional features and advantages of the purpose of the present application will be further described in conjunction with the embodiments with reference to the accompanying drawings. Specific embodiments

[0044] To better understand the above technical solutions, exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. Although the exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure can be implemented in various forms and should not be limited by the embodiments set forth herein. On the contrary, these embodiments are provided so that the present disclosure can be more thoroughly understood and the scope of the present disclosure can be fully conveyed to those skilled in the art.

[0045] First embodiment

[0046] Referring to Figure 1 , in the first embodiment, the protection range calculation method based on the charge accumulation and lightning elimination principle of the plasma lightning arrester includes the following steps:

[0047] Step S10, measuring the protection angle of the PLP, the height of the protected object, and the horizontal distance between the PLP and the protected object;

[0048] In this embodiment, the protection angle, the height of the protected object, and the horizontal distance between the PLP and the protected object are measured.

[0049] Step S20, calculating the complementary angle value of the protection angle, and calculating the tangent value of the complementary angle value;

[0050] After measuring the protection angle, let the protection angle be , then its complementary angle value , and the tangent value is .

[0051] Optionally, in this embodiment, the value range of the protection angle is , and this data can be different according to altitude, air density, humidity, temperature, etc. For example, at higher altitudes, the air density is low, and the PLP is more likely to be ionized to generate charges and the divergence range is wider.

[0052] Step S30, calculating the protection height of the PLP according to the tangent value, the height of the protected object, and the horizontal distance;

[0053] After calculating the tangent value of the complementary angle of the protection angle , calculate the protection height of the PLP according to the tangent value, the height of the protected object, and the horizontal distance.

[0054] Among them, the calculation expression of the protection height is as follows:

[0055]

[0056] In the formula, m is the complementary angle of the PLP protection angle tangent value of , h0 is the height of the object to be protected, x0 is the horizontal distance between the PLP and the object to be protected, .

[0057] Specifically, referring to Figure 2 the schematic diagram of the PLP protection range shown, the PLP distorts the shape of the electric field through the "tip array" on its surface, increasing the surrounding electric field strength to form strong ionization. The generated ions will diverge upward to cancel the negative (positive) charges ionized by the thundercloud electric field, and diverge downward to cancel the positive (negative) charges ionized by the ground or the object to be protected. The distorted shape of the electric field and the charge dissipation range can be approximately equivalent to the curve envelope range of the hyperbola equation, and it is a structure that is approximately symmetric up and down with respect to the horizontal plane where the PLP vertex is located.

[0058] Optionally, for the derivation of the calculation expression of the protection height of the PLP, referring to Figure 3 the schematic diagram of the protection range after the PLP height setting shown, the derivation steps of this calculation expression are as follows:

[0059] S1, taking the vertex at the installation location of the PLP, establish an equivalent hyperbola equation and its asymptote model:

[0060]

[0061]

[0062]

[0063] In the formula, a is the length of the real semi-axis of the hyperbola equation, b is the length of the imaginary semi-axis of the hyperbola equation, and c is the distance from the focus to the origin;

[0064] S2, let the complementary angle of the protection angle be equal to the slope angle of the hyperbola asymptote, that is , and obtain:

[0065]

[0066] S3, assume the installation height is , let , that is, the focal distance is equal to the installation height of the PLP, then:

[0067]

[0068] S4. Let the height of the object to be protected be h0, and the horizontal distance between the PLP and the object to be protected be x0. The vertex coordinates P(x0, y0) of the object to be protected are obtained. x0, the horizontal distance from the object to be protected to the installation point of the PLP, is a known quantity, while y0, the ordinate of the vertex of the object to be protected, is equal to the installation height H of the PLP in the established model. x It is the negative value of the difference between the installation height H of the PLP and the height h0 of the object to be protected, and y0 contains H. x It is an unknown quantity, where ;

[0069] S5. Let , substitute the coordinates P(x0, y0) into . By combining the previous equations, we get:

[0070]

[0071] S6. Let , and solve the quadratic equation of one variable about H x :

[0072]

[0073] After arrangement, we get:

[0074]

[0075] S7. Assume that H x needs to satisfy , then finally we get:

[0076]

[0077] It should be noted that in the equivalent hyperbola model for simulating the protection range of the PLP constructed in this embodiment, the protection angle size of the PLP itself is equivalent to the complementary angle of the slope angle of the hyperbola asymptote, that is, the upper boundary line of the protected range of the protection angle coincides with the asymptote, thus establishing the relationship between the protection angle size and the asymptote slope.

[0078] In the technical solution provided in this embodiment, according to the range of air field strength distortion during the operation of the PLP, the protection range of the PLP is approximately equivalent to the hyperbola envelope range, the slope angle of the hyperbola asymptote is equivalent to the lightning protection angle of the PLP, and the distance c from the hyperbola focus to the origin is equivalent to the installation height H of the PLP. x The relationship between the actual protection range of the PLP and the protection angle is approximately equivalent by using the relationship between the hyperbola and the asymptote. Therefore, based on the basic hyperbola protection range model corresponding to the PLP, the protection height value H of the PLP can be solved by using the protection angle of the PLP, the height of the object to be protected, and the horizontal distance between the PLP and the object to be protected. x .

[0079] Second Embodiment

[0080] Based on the first embodiment, in some specific embodiments, assume that the PLP protection angle is taken as , , the height of the object to be protected is taken as h0 = 10 m, and the horizontal distance between the object to be protected and the PLP installation point is x0 = 100 m.

[0081] Then , .

[0082] Also , , ;

[0083] Substitute into:

[0084]

[0085] Get: .

[0086] Third Embodiment

[0087] As an implementation solution, those of ordinary skill in the art can understand that all or part of the processes in the methods of implementing the above embodiments can be completed by instructing relevant hardware through a computer program. The computer program includes program instructions, and the computer program can be stored in a storage medium, and the storage medium is a computer-readable storage medium. The program instructions are executed by at least one processor in the plasma lightning arrester system to implement the flow steps of the embodiments of the above method.

[0088] Therefore, the present application also provides a computer-readable storage medium, and the computer-readable storage medium stores a protection range calculation program based on the charge accumulation and lightning elimination principle of the plasma lightning arrester. When the protection range calculation program based on the charge accumulation and lightning elimination principle of the plasma lightning arrester is executed by a processor, each step of the protection range calculation method based on the charge accumulation and lightning elimination principle of the plasma lightning arrester as described in the above embodiments is implemented.

[0089] Among them, the computer-readable storage medium can be various computer-readable storage media such as a USB flash drive, a mobile hard disk, a read-only memory (ROM), a magnetic disk, or an optical disc that can store program codes.

[0090] It should be noted that since the storage medium provided in the embodiments of the present application is the storage medium adopted for implementing the methods in the embodiments of the present application, those skilled in the art can understand the specific structure and deformation of the storage medium based on the methods introduced in the embodiments of the present application, so it will not be elaborated here. Any storage medium adopted for the methods in the embodiments of the present application belongs to the scope to be protected by the present application.

[0091] Those skilled in the art should understand that the embodiments of the present application can be provided as a method, a system, or a computer program product. Therefore, the present application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present application can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.

[0092] The present application is described with reference to the flowcharts and / or block diagrams of methods, apparatuses (systems), and computer program products according to the embodiments of the present application. It should be understood that each flow and / or block in the flowchart and / or block diagram can be implemented by computer program instructions, and the combination of the flows and / or blocks in the flowchart and / or block diagram can also be implemented. These computer program instructions can be provided to the processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing devices to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing devices generate means for implementing the functions specified in Figure 1 one or more of the flows Figure 1 or a plurality of flows and / or blocks

[0093] These computer program instructions can also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer-readable memory generate a manufactured article including instruction means, and the instruction means implements the functions specified in Figure 1 one or more of the flows Figure 1 or a plurality of flows and / or blocks

[0094] These computer program instructions can also be loaded onto a computer or other programmable data processing device, so that a series of operation steps are executed on the computer or other programmable device to generate a computer-implemented process, and thus the instructions executed on the computer or other programmable device provide steps for implementing the functions specified in Figure 1 one or more of the flows Figure 1 or a plurality of flows and / or blocks

[0095] It should be noted that in the claims, any reference signs placed between parentheses shall not be construed as limiting the claims. The word "comprising" does not exclude the presence of elements or steps not listed in the claims. The word "a" or "an" preceding an element does not exclude the presence of a plurality of such elements. The present application can be implemented by means of hardware comprising several different elements and by means of a suitably programmed computer. In a unit claim listing several devices, several of these devices may be embodied by the same item of hardware. The use of the words first, second, and third, etc. does not denote any order. These words may be interpreted as names.

[0096] Although the preferred embodiments of the present application have been described, additional changes and modifications can be made to these embodiments by those skilled in the art once they learn of the basic inventive concept. Therefore, the appended claims are intended to be construed to include the preferred embodiments as well as all changes and modifications that fall within the scope of the present application.

[0097] Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these changes and modifications.

Claims

1. A method for setting the protection height based on the principle of plasma lightning arrester charge accumulation and lightning elimination, characterized in that: The method comprises the following steps: Measuring the protection angle of the PLP, the height of the protected object, and the horizontal distance between the PLP and the protected object; Calculating the complementary angle value of the protection angle, and calculating the tangent value of the complementary angle value; Calculating the protection height of the PLP according to the tangent value, the height of the protected object and the horizontal spacing; The calculation expression of the protection height is: ; Where m is the complementary angle of the PLP protection angle The tangent value of , h0 is the height of the protected object, x0 is the horizontal distance between PLP and the protected object, .

2. The method according to claim 1, characterized in that The derivation steps of the calculation expression of the protection height include: S1, establish the equivalent hyperbolic equation and its asymptote model with the vertex of the PLP installation: ; ; ; In the formula, a is the length of the real semi-axis of the hyperbola equation, b is the length of the imaginary semi-axis of the hyperbola equation, and c is the distance from the focus to the origin; S2, the complementary angle of the protection angle is equal to the slope angle of the hyperbola asymptote, that is , where θ is the protection angle, we get: ; S3, assuming the installation height is ,make , that is, the focal distance is equal to the installation height of PLP, then: ; S4, let the height of the protected object be h0, the horizontal distance between PLP and the protected object be x0, and obtain the vertex coordinates of the protected object P(x0, y0), where: ; S5, order , substitute the coordinates P(x0,y0) into In the above formula, we can get: ; S6, order , we can solve for H x The quadratic equation of : ; After finishing, we get: ; S7, set H x Need to meet , then we finally get: 。 3. The method according to claim 1, characterized in that The protection angle of the PLP is associated with the altitude, air density, humidity, and temperature at which the PLP is located.

4. The method according to claim 3, characterized in that The protection angle ranges from 84° to 86°.

Citation Information

Patent Citations

  • A method for determining protection ranges of lightning rods with different heights

    CN111181009A

  • Method and system for efficiently evaluating shielding performance of lightning rod

    CN115879328A