Analysis method and device for electrical performance of antenna housing based on polygon vertex control

Abstract

The invention discloses an antenna housing electrical performance analysis method and device based on polygon vertex control. The method comprises the following steps: randomly generating multiple groups of antenna housing thickness error distributions; calculating a first far-field pattern interval of the radome corresponding to the multiple groups of radome thickness error distribution, and extracting a first change interval of performance indexes of the radome; calculating the amplitude of the transmission coefficient of each point on the radome and the change interval of the phase to obtain a fan-shaped interval formed by the transmission coefficient of each point on the radome in the complex field; the method comprises the following steps of: segmenting a fan-shaped interval formed by a transmission coefficient at each point on the radome in a complex field into a polygonal interval of a real number field, rewriting the polygonal interval of the transmission coefficient into an interval of a far field value of the radome, summing, and performing vertex control on the polygonal interval with redundant vertexes before each summing, obtaining a second far-field pattern interval of the radome, and extracting a second change interval of the performance indexes of the radome; and comparing the first change interval with the second change interval, and analyzing the performance index of the antenna housing. The analysis efficiency can be improved.

Description

Technical Field

[0001] The invention belongs to the technical field of radar antennas, and in particular relates to a method and a device for analyzing the electrical performance of a radome based on polygonal vertex control. Background Art

[0002] The radome is a wave-transmitting shell that protects the antenna from the natural environment. It is a covering made of natural or artificial dielectric materials, or a specially shaped electromagnetic window composed of a dielectric shell supported by a truss. In addition to its protective, conductive, reliable, concealed and decorative functions, a well-designed radome can also extend the service life of all parts of the entire system, reduce life cost and operating cost, simplify design, reduce maintenance costs, ensure the accuracy of the antenna surface and position, and create a good working environment for antenna operators. However, the radome will also affect the electromagnetic radiation of the ideal antenna, reducing the electrical performance of the ideal antenna.

[0003] In the prior art, due to the manufacturing error factors during the processing and the influence of external environmental factors during the service process, the design parameters of the radome always have certain deviations, which causes the electrical performance of the radome to deviate from the design value and has certain uncertainties. In order to ensure the normal and reliable operation of the radome, it is necessary to effectively and accurately predict the uncertainty of the electrical performance of the radome under the influence of error factors. However, in the prior art, in the polygon interval analysis process, the blind use of polygon addition leads to a continuous increase in the number of polygon vertices, which seriously affects the calculation efficiency.

[0004] Therefore, there is an urgent need to provide an analysis method for the electrical performance of a radome based on polygon vertex control to improve the defects of the prior art. Summary of the invention

[0005] In order to solve the above problems existing in the prior art, the present invention provides a method and device for analyzing the electrical performance of a radome based on polygon vertex control. The technical problem to be solved by the present invention is achieved through the following technical solutions:

[0006] In a first aspect, the present invention provides a method for analyzing electrical performance of a radome based on polygon vertex control, comprising:

[0007] According to the preset range of variation of the radome thickness value, a plurality of groups of radome thickness error distributions are randomly generated;

[0008] Calculating first far-field pattern intervals of the radome corresponding to a plurality of groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extracting a first variation interval of the performance index of the radome from the first far-field pattern interval;

[0009] Calculate the variation range of the amplitude and phase of the transmission coefficient of each point on the radome, and obtain the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygonal interval in the real domain; obtain the polygonal interval corresponding to the far-field value of the radome according to the polygonal interval of the transmission coefficient at each point on the radome in the real domain;

[0010] Deleting redundant vertices of a polygonal interval corresponding to the far-field value of the radome, summing the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted, obtaining a second far-field pattern interval of the radome, and extracting a second variation interval of the performance indicator of the radome from the second far-field pattern interval;

[0011] Compare the first variation interval and the second variation interval, and analyze the performance indicators of the radome.

[0012] In a second aspect, the present invention further provides a device for analyzing electrical properties of a radome based on polygon vertex control, comprising:

[0013] A data acquisition unit, used to randomly generate a plurality of groups of radome thickness error distributions according to a preset range of variation of radome thickness values;

[0014] A first variation interval acquisition module is used to calculate first far-field pattern intervals of the radome corresponding to multiple groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extract a first variation interval of the performance index of the radome from the first far-field pattern interval;

[0015] A conversion module is used to calculate the variation range of the amplitude and phase of the transmission coefficient of each point on the radome, and obtain the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygonal interval in the real domain; and obtain the polygonal interval corresponding to the far-field value of the radome according to the polygonal interval of the transmission coefficient at each point on the radome in the real domain;

[0016] A second variation interval acquisition module is used to delete redundant vertices of a polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted, obtain a second far-field pattern interval of the radome, and extract a second variation interval of the performance indicator of the radome from the second far-field pattern interval;

[0017] The analysis module is used to compare the first variation interval and the second variation interval to analyze the performance index of the radome.

[0018] Beneficial effects of the present invention:

[0019] The present invention provides a method and device for analyzing the electrical properties of a radome based on polygonal vertex control. The polygonal intervals of amplitude and phase are used to describe the transmission coefficient variation interval under the factor of radome thickness error, and the Minkowski summation of the polygonal intervals is used to analyze the far field. Two schemes for controlling polygonal vertices are proposed to delete redundant points. Compared with the existing interval analysis method for the electrical properties of the radome, the analysis efficiency is significantly improved on the basis of interval analysis accuracy.

[0020] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0021] Figure 1 It is a flow chart of a method for analyzing electrical performance of a radome based on polygon vertex control provided by an embodiment of the present invention;

[0022] Figure 2 is a schematic diagram of a radome model provided by an embodiment of the present invention;

[0023] Figure 3 is a schematic diagram of a radome model provided by an embodiment of the present invention;

[0024] Figure 4 A schematic diagram of a vertex control method provided by an embodiment of the present invention;

[0025] Figure 5 Another schematic diagram of a vertex control method provided by an embodiment of the present invention;

[0026] Figure 6 A schematic diagram of the performance index analysis of the radome provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0027] The present invention is further described in detail below with reference to specific embodiments, but the embodiments of the present invention are not limited thereto.

[0028] The errors introduced during the manufacturing and service process of the radome will affect its electrical performance. The polygonal interval analysis method can accurately analyze the range of electrical performance changes under the influence of parameter errors, but the number of polygon vertices continues to increase during the interval analysis process, resulting in low computational efficiency.

[0029] In view of this, the analysis method of the electrical performance of the antenna cover based on polygon vertex control proposed in the present invention can control the number of vertices in the polygon interval corresponding to the antenna cover, greatly improving the calculation efficiency while ensuring the calculation accuracy.

[0030] See also Figure 1 , Figure 1is a flow chart of a method for analyzing electrical performance of a radome based on polygon vertex control provided by an embodiment of the present invention. Figure 2 is a schematic diagram of a radome model provided by an embodiment of the present invention. The present invention provides a method for analyzing electrical properties of a radome based on polygon vertex control, including:

[0031] S101. Randomly generate multiple groups of radome thickness error distributions according to a preset radome thickness value variation range.

[0032] Specifically, in this embodiment, multiple groups of antenna cover thickness error distributions are randomly generated through the following process, specifically:

[0033] In the commercial model analysis software, according to the structural form of the radome, the geometric model of the radome is established, and the model is meshed. The geometric model of the radome is divided into N and grids, and the grid side length is set to 0.2λ, where λ represents the wavelength of the antenna;

[0034] The error range of the preset antenna cover thickness d is [d L ,d U ], with the mean value (d L +d U ) / 2, the standard deviation is (d L +d U ) / 6, generate Z random numbers;

[0035] The above process is repeated 1000 times to generate 1000 groups of radome thickness error distributions, each group including Z random numbers.

[0036] S102. Calculate first far-field pattern intervals of the radome corresponding to a plurality of groups of radome thickness error distributions based on structural parameters and material parameters of the radome, and extract a first variation interval of a performance indicator of the radome from the first far-field pattern interval.

[0037] Specifically, in this embodiment, obtaining the first variation interval of the performance indicator of the radome includes:

[0038] According to the structural parameters and material parameters of the radome, the transmission coefficient T of the radome is calculated using the transmission line theory. M ;

[0039] According to the known aperture field E(x,y) of the radome, the aperture field E′(x,y) after passing through the radome is calculated, and its expression is:

[0040] E′(x,y)=E(x,y)·T M ;

[0041] Among them, T M represents the transmission coefficient of the main polarization component at each point on the radome;

[0042] According to the aperture field E′(x,y) after passing through the radome, the far field F(θ,φ) of the radome is calculated, and its expression is:

[0043]

[0044] Where S′ represents the aperture surface after passing through the radome, θ and represent the spherical coordinate angles of the observation point P in the rectangular coordinate system O-xyz, and k0 represents the free space propagation constant;

[0045] According to the far field F(θ,φ) of the radome, the first far field pattern interval is drawn, and the variation interval of the gain G1, the main beam position B1 and the first side lobe level S1 is extracted from the first far field pattern interval as the first variation interval of the performance indicator of the radome.

[0046] In this embodiment, according to the known aperture field E(x, y) of the radome, the aperture field E′(x, y) after passing through the radome is calculated, including:

[0047] With the center of the bottom surface of the radome as the origin, the bottom surface as the xy plane, and the height of the radome as the z direction, a rectangular coordinate system O-xyz is constructed, S represents the aperture surface of the radome, S′ represents the aperture surface after passing through the radome, and at the same time, the components in the x, y and z directions are i, j and k respectively;

[0048] According to the geometric shape of the radome and the incident aperture field, the incident angle α and polarization angle β at each point on the radome are determined, that is, the angle between the incident ray of the electromagnetic wave and the normal at the incident point is recorded as the incident angle α, and the angle between the polarization direction of the electromagnetic wave and the incident plane is recorded as the polarization angle β, wherein the incident plane is composed of the incident ray of the electromagnetic wave and the normal at the incident point;

[0049] The loss tangent tanδ of the radome material is preset to 0, and the relative dielectric constant ε is calculated according to the thickness d at each point of the radome. r , calculate the horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V , whose expressions are:

[0050]

[0051]

[0052] Among them, A, B H , B V , C H , C V and D are both intermediate variables, t H represents the transmission coefficient of the horizontal polarization component T H The modulus, tV represents the vertical polarization component transmission coefficient T V The modulus, η H represents the transmission coefficient of the horizontal polarization component T H The phase, η V represents the vertical polarization component transmission coefficient T V The phase of

[0053] Where A = ch(jVd),

[0054]

[0055] According to the horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V , calculate the transmission coefficient of the main polarization component at each point on the radome, and its expression is:

[0056]

[0057]

[0058] Among them, γ represents the intermediate variable;

[0059] Multiply the known aperture field E(x,y) of the radome by the transmission coefficient T of the main polarization component at the corresponding point M , and obtain the aperture field E′(x,y) after passing through the radome.

[0060] Furthermore, according to the structural parameters and material parameters of the radome, the transmission coefficient T of the radome is calculated using the transmission line theory. M ;

[0061] According to the known aperture field E(x,y) of the radome, the aperture field E′(x,y) after passing through the radome is calculated, and its expression is:

[0062] E′(x,y)=E(x,y)·T M ;

[0063] Among them, T M represents the transmission coefficient of the main polarization component at each point on the radome;

[0064] According to the aperture field E′(x,y) after passing through the radome, the far field F(θ,φ) of the radome is calculated, and its expression is:

[0065]

[0066] Where S′ represents the aperture surface after passing through the radome, θ and represent the spherical coordinate angles of the observation point P in the rectangular coordinate system O-xyz, k0 represents the free space propagation constant, k0 = 2π / λ, λ represents the wavelength of the antenna, and λ = c / f is calculated based on the antenna operating frequencies f and c;

[0067] According to the far field F(θ,φ) of the radome, a first far field radiation pattern is drawn, and the variation range of the gain G1, the main beam position B1 and the first side lobe level S1 is extracted from the first far field radiation pattern as the first variation range of the performance indicator of the radome.

[0068] S103. Calculate the variation range of the amplitude and phase of the transmission coefficient of each point on the radome to obtain the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into polygonal intervals in the real domain; obtain the polygonal interval corresponding to the far-field value of the radome according to the polygonal interval of the transmission coefficient at each point on the radome in the real domain.

[0069] Specifically, in this embodiment, the polygonal interval corresponding to the antenna cover is obtained through the following process, specifically:

[0070] The horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V Simplified to:

[0071]

[0072] in,

[0073]

[0074]

[0075] A1, B1 and B2 are all intermediate variables. According to the variation range of the radome thickness d [d L ,d U ], calculate the change interval of the intermediate variable A1 Calculate the variation range of the intermediate variable B1 And calculate the change range of the intermediate variable B2

[0076] According to the change range of the intermediate variable A1 The variation range of the intermediate variable B1 and the range of change of the intermediate variable B2 Get the horizontal polarization component transmission coefficient T H The modulus t H The range of change And the horizontal polarization component transmission coefficient T H The phase η H The range of change And construct the horizontal polarization component transmission coefficient T H The fan-shaped interval of ; its expression is:

[0077]

[0078]

[0079] in,

[0080]

[0081]

[0082]

[0083]

[0084]

[0085]

[0086]

[0087] According to the change range of the intermediate variable A1 The variation range of the intermediate variable B1 and the range of change of the intermediate variable B2 Get the vertical polarization component transmission coefficient T V The modulus t V The range of change And the vertical polarization component transmission coefficient T V The phase η V The range of change And construct the vertical polarization component transmission coefficient T V The fan-shaped interval of ; its expression is:

[0088]

[0089]

[0090] in,

[0091]

[0092]

[0093]

[0094]

[0095]

[0096]

[0097]

[0098] Get the horizontal polarization component transmission coefficient T H The modulus t of the sector formed in the far field of the radome H The range of variation of ′ and the phase η H The range of variation of ′ As the fan-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain, the transmission coefficient of the vertical polarization component T is obtained. V The modulus t of the sector formed in the far field of the radome V The range of variation of ′ and the phase η V The range of variation of ′ The fan-shaped interval formed by the transmission coefficient of the vertical polarization component at each point on the radome in the complex domain; its expression is:

[0099]

[0100]

[0101]

[0102]

[0103] Among them, am = E(x,y)·ΔS, ph = k0 sinθ(xcosφ+ysinφ), and ΔS represents the area of ​​the divided grid unit.

[0104] Get the four endpoints of the fan-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain and and the coordinates of the endpoints Its expression is:

[0105]

[0106]

[0107]

[0108]

[0109] Among them, the endpoint With endpoint Endpoints With endpoint The corresponding part is the arc part of the sector;

[0110] Endpoints With endpoint Between, Endpoints With endpoint Endpoints With endpoint Use straight lines to connect the endpoints With endpoint The phase range of the sector-shaped interval is evenly divided into 10 parts by using arcs and line segments tangent to the arcs, each of which corresponds to a line segment. The polygonal interval completely envelops the original sector-shaped interval, and the sector-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the antenna cover in the complex domain is converted into a polygonal interval in the real domain;

[0111] Get the four endpoints of the fan-shaped interval formed by the vertical polarization component transmission coefficient at each point on the radome in the complex domain and and the coordinates of the endpoints Its expression is:

[0112]

[0113]

[0114]

[0115]

[0116] Among them, the endpoint With endpoint Endpoints With endpoint The corresponding part is the arc part of the sector;

[0117] Endpoints With endpoint Between, Endpoints With endpoint Endpoints With endpoint Use straight lines to connect the endpoints With endpoint Arcs are used between them and line segments tangent to the arcs are used to connect them, so as to convert the fan-shaped interval formed by the transmission coefficient of the vertical polarization component at each point on the radome in the complex domain into a polygonal interval in the real domain;

[0118] The order of the endpoints of the polygonal interval in the real number domain corresponding to the transmission coefficient of the horizontal polarization component at each point on the antenna cover and the polygonal interval in the real number domain corresponding to the transmission coefficient of the vertical polarization component are adjusted so that the starting endpoint has the smallest imaginary part in the complex number domain, and all endpoints are arranged counterclockwise according to the original fan-shaped interval.

[0119] Furthermore, according to the far-field integral formula, the polygonal interval in the real number domain corresponding to the transmission coefficient of the horizontal polarization component at each point on the antenna cover and the polygonal interval in the real number domain corresponding to the transmission coefficient of the vertical polarization component are rewritten to obtain the polygonal interval of the field value at each discrete point in the far-field radiation pattern, that is, the polygonal interval corresponding to the far-field field value of the antenna cover.

[0120] Specifically, for any two sets of polygon endpoints, all polygon vertices are arranged in a counterclockwise direction and are denoted as a i ,i=1,2,....,m and b j ,j=1,2,...,n, the initial value of i and j is 1, and the endpoint of the synthesized polygon is denoted by c k ,k=1,2,...,t, take s=1;

[0121] c sx =a ix +b jx , c sy =a iy +b jy ;

[0122] Calculate from point a i Point to point a i+1 The angle between the vector and the positive direction of the horizontal coordinate And calculate from point b j Point to b j+1 The angle between the vector and the positive direction of the horizontal coordinate if Then let i=i+1, otherwise let j=j+1;

[0123] If i=m and j=n, the summing process ends; otherwise, let s=s+1 and continue to execute the above steps.

[0124] S104, deleting redundant vertices of the polygonal interval corresponding to the far-field value of the radome, summing the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted, to obtain a second far-field pattern interval of the radome, and extracting a second variation interval of the performance indicator of the radome from the second far-field pattern interval

[0125] Specifically, in this embodiment, there are two ways to delete redundant vertices; one of them is to delete redundant points by compressing polygons, specifically:

[0126] Calculate the length array d of each edge in the polygon interval M1 corresponding to the far-field value of the radome, and its expression is:

[0127]

[0128] X=[a 1x ,a 2x ,a 3x ,...,a mx ];

[0129] Y=[a 1y ,a 2y ,a 3y ,...,a my ];

[0130] X * =[a 2x ,a 3x ,...,a mx ,a 1x ];

[0131] Y * =[a 2y ,a 3y ,...,a my ,a 1y ];

[0132] Among them, X and Y represent the vertex coordinate arrays in the polygon interval M1 corresponding to the far-field value of the radome, X represents the vertex x coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, and Y represents the vertex y coordinate array in the polygon interval M1 corresponding to the far-field value of the radome. * Represents the reconstructed array of X, which can also be understood as, X * Indicates that the first coordinate value of X is placed after the last coordinate value of the x coordinate array, Y * The reconstructed array representing Y can also be understood as, Y * It indicates the y coordinate array after the first coordinate value of Y is placed after the last coordinate value, m indicates the number of vertices of the polygon interval M1, and a indicates the vertex coordinate value of the polygon interval M1;

[0133] Find the starting point of the edge corresponding to the minimum length array d min=(x min ,y min ), it can be understood that the starting point refers to the starting point of the shortest side of the polygon interval, which is a point in the array, not necessarily the starting point of the array, (x min ,y min ) may be equal to (a 1x ,a 1y ), or it may be equal to (a100x ,a 100y ), take the starting point as a redundant vertex, delete the coordinates of the redundant vertex from the vertex coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, and obtain the updated vertex coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, which are respectively:

[0134] X (1) =[a1' x ,a' 2x ,a' 3x ,...,a ( ' m-1)x ];

[0135] Y (1) =[a1' y ,a' 2y ,a' 3y ,...,a ( ' m-1)y ];

[0136] Check whether the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N. If not, obtain the polygonal interval corresponding to the far-field value of the radome with redundant vertices deleted; if more, continue to search for redundant vertices and delete them until the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N.

[0137] The other method is to delete redundant points by expanding the polygon, as follows:

[0138] Calculate the length array d of each edge in the polygon interval M1 corresponding to the far-field value of the radome, and its expression is:

[0139]

[0140] X=[a 1x ,a 2x ,a 3x ,...,a mx ];

[0141] Y=[a 1y ,a 2y ,a 3y ,...,a my ];

[0142] X * =[a 2x ,a 3x ,...,a mx ,a 1x ];

[0143] Y * =[a2y ,a 3y ,...,a my ,a 1y ];

[0144] Among them, X and Y represent the vertex coordinate arrays in the polygon interval M1 corresponding to the far-field value of the radome, X represents the vertex x coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, Y represents the vertex y coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, X * represents the reconstructed array of X. It can be understood that X * Indicates that the first coordinate value of X is placed after the last coordinate value of the x coordinate array, Y * Reconstructed array representing Y It can be understood that Y * It indicates the y coordinate array after the first coordinate value of Y is placed after the last coordinate value, m indicates the number of vertices of the polygon interval M1, and a indicates the vertex coordinate value of the polygon interval M1;

[0145] Find the starting point number temp of the edge corresponding to the minimum length array d, and find the vertices numbered temp-1, temp+1, and temp+2 in the vertex coordinate array of the polygon interval M1 corresponding to the far field value of the radome. The coordinates corresponding to the vertices are:

[0146] temp-1=(x2,y2);

[0147] temp=(x1,y1);

[0148] temp+1=(x3,y3);

[0149] temp+2=(x4,y4);

[0150] The edge formed by the vertex numbered temp-1 and the vertex numbered temp is used as the first line segment L1, the edge formed by the vertex numbered temp+1 and the vertex numbered temp+2 is used as the second line segment L2, and the edge formed by the vertex numbered temp and the vertex numbered temp+1 is used as the third line segment L3, wherein the expressions of the first line segment L1 and the second line segment L2 are respectively:

[0151] L1(t)=(x1+t·(x2-x1),y1+t·(y2-y1));

[0152] L2(s)=(x3+s·(x4-x3),y3+s·(y4-y3));

[0153] Where t and s represent parameters, t∈[0,1], s∈[0,1];

[0154] If the first line segment L1 is parallel to the second line segment L2 within the tolerance range, the midpoint M(x M ,y M ) as a new vertex, and the vertex numbered temp and the vertex numbered temp+1 are taken as redundant vertices and deleted to obtain the updated vertex coordinate array in the polygon interval M1 corresponding to the far-field value of the radome; otherwise, the intersection I(x I ,y I ) as a new vertex, and the vertex numbered temp and the vertex numbered temp+1 are taken as redundant vertices and deleted, so as to obtain an array of vertex coordinates in the polygonal interval M1 corresponding to the updated far-field value of the radome;

[0155] The intersection of the first line segment L1 and the second line segment L2 is expressed as:

[0156] L1(t)=L2(s);

[0157] but,

[0158] Among them, dx1=x2-x1, dx2=x4-x3, dy1=y2-y1, dy2=y4-y3;

[0159] The intersection point I(x I ,y I ) is:

[0160] x I =x3+t·dx2;

[0161] y I =y3+t·dy2;

[0162] The updated radome far-field value corresponds to the vertex coordinate array in the polygon interval M1 as follows:

[0163] X (2) =[a1' x ,a' 2x ,a' 3x ,...,a ( ' m-1)x ];

[0164] Y (2) =[a1' y ,a' 2y ,a' 3y ,...,a ( ' m-1)y ];

[0165] Check whether the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N. If not, obtain the polygonal interval corresponding to the far-field value of the radome with redundant vertices deleted; if more, continue to search for redundant vertices and delete them until the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N.

[0166] S105. Compare the first variation interval and the second variation interval, and analyze the performance index of the radome.

[0167] Specifically, in this embodiment, the first change interval and the second change interval are compared to determine whether the electrical performance indicators of the antenna cover meet the preset requirements. If so, the results of analyzing the performance indicators of the antenna cover are obtained. If not, the redundant nodes of the polygonal interval corresponding to the far-field value of the antenna cover are deleted, and the second far-field radiation pattern interval of the antenna cover is updated until the electrical performance indicators of the antenna cover meet the preset requirements.

[0168] In summary, the analysis method of the electrical properties of the radome based on polygon vertex control provided by the present invention adopts polygonal intervals of amplitude and phase to describe the transmission coefficient variation interval under the radome thickness error factor, and adopts the Minkowski summation of the polygonal interval to analyze the far field, and proposes two schemes for controlling polygon vertices to delete redundant points. Compared with the existing interval analysis method of the electrical properties of the radome, the analysis efficiency is significantly improved on the basis of interval analysis accuracy.

[0169] Based on the same inventive concept, the present invention further provides an analysis device for the electrical performance of a radome based on polygon vertex control, which is used to implement the analysis method for the electrical performance of a radome based on polygon vertex control provided in the above embodiment of the present invention. The embodiment of the method is referred to above and will not be described in detail here. The device comprises:

[0170] A data acquisition unit, used to randomly generate a plurality of groups of radome thickness error distributions according to a preset range of variation of radome thickness values;

[0171] A first variation interval acquisition module is used to calculate first far-field pattern intervals of the radome corresponding to multiple groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extract a first variation interval of the performance index of the radome from the first far-field pattern interval;

[0172] A conversion module is used to calculate the variation range of the amplitude and phase of the transmission coefficient of each point on the radome, and obtain the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygonal interval in the real domain; and obtain the polygonal interval corresponding to the far-field value of the radome according to the polygonal interval of the transmission coefficient at each point on the radome in the real domain;

[0173] A second variation interval acquisition module is used to delete redundant vertices of a polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted, obtain a second far-field pattern interval of the radome, and extract a second variation interval of the performance indicator of the radome from the second far-field pattern interval;

[0174] The analysis module is used to compare the first variation interval and the second variation interval to analyze the performance index of the radome.

[0175] In an optional embodiment of the present invention, the effect of the method for analyzing the electrical performance of the radome based on polygon vertex control provided in the above embodiment is verified by simulation experiments, specifically:

[0176] 1. Simulation parameters

[0177] The simulation parameters of this embodiment include: a certain aircraft radome, the shape of which is as follows: Figure 3 As shown, Figure 3 It is a schematic diagram of the antenna cover model provided in an embodiment of the present invention. The bottom diameter is 0.5 meters and the height is 1 meter. The antenna cover material is fiberglass material. The relative dielectric constant of the material is 4, the magnetic loss tangent is 0.015, the cover wall thickness is 8 mm, the antenna aperture in the cover is 0.22 meters, the operating frequency is 9.4 GHz, the aperture field is an equal-amplitude and in-phase distribution, and the scanning angle of the antenna is 6°.

[0178] 2. Simulation content and results analysis

[0179] The electrical performance of the above-mentioned antenna cover under the effect of thickness error is analyzed by using the present invention. The simulation results are as follows: Figure 4 The simulation data is shown in Table 1.

[0180] Figure 4 A schematic diagram of a vertex control method provided by an embodiment of the present invention, which controls the number of vertices by compressing polygons. Figure 5 Another schematic diagram of a vertex control method provided by an embodiment of the present invention controls the number of vertices by expanding polygons, and the maximum number of vertices is set to 5.

[0181] Figure 6 In the figure, “ordinary method” represents the far-field pattern interval obtained by using the traditional polygonal interval analysis method, “fast method” represents the far-field pattern interval obtained by using the fast polygonal interval analysis method provided by the present invention, and “random error” represents multiple groups of far-field pattern obtained by introducing random error distribution for repeated calculation.

[0182] Table 1 System electrical performance index range

[0183]

[0184]

[0185] From the above results, it can be seen that compared with the traditional polygon interval analysis method, after using the fast polygon interval analysis method, the far-field pattern interval of the radome is almost completely overlapped, and the electrical performance interval of the radome is almost unchanged. At the same time, the pattern and electrical performance intervals both include the results of random errors. In terms of efficiency, the traditional polygon interval analysis method takes 12,846 seconds, while the fast polygon interval analysis method takes only 231 seconds, which greatly reduces the time consumed.

[0186] The above simulation data experiments prove that the present invention can greatly improve the efficiency of polygonal interval analysis of the electrical performance of the antenna cover while maintaining the analysis accuracy.

[0187] It should be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply that there is any such actual relationship or order between these entities or operations. Moreover, the term "include", "comprise" or any other variant is intended to cover non-exclusive inclusion, so that the article or device including a series of elements includes not only those elements, but also other elements that are not explicitly listed. In the absence of more restrictions, the elements defined by the sentence "including one..." do not exclude the existence of other identical elements in the article or device including the elements. "Connect" or "connected" and similar words are not limited to physical or mechanical connections, but can include electrical connections, whether direct or indirect. The orientation or position relationship indicated by "up", "down", "left", "right", etc. is based on the orientation or position relationship shown in the accompanying drawings, which is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation of the present invention.

[0188] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" etc. means that the specific features or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments or examples described in this specification.

[0189] The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the protection scope of the present invention.

Claims

1. A method for analyzing the electrical performance of a radome based on polygon vertex control, characterized in that: include: According to the preset range of variation of the radome thickness value, a plurality of groups of radome thickness error distributions are randomly generated; Calculating first far-field pattern intervals of the radome corresponding to a plurality of groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extracting a first variation interval of a performance indicator of the radome from the first far-field pattern interval; Calculate the variation range of the amplitude and phase of the transmission coefficient at each point on the radome, and obtain the fan-shaped range formed by the transmission coefficient at each point on the radome in the complex domain; The fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex number domain is divided into a polygonal interval in the real number domain; According to the polygonal interval of the transmission coefficient at each point on the radome in the real number domain, the polygonal interval corresponding to the far-field value of the radome is obtained; Deleting redundant vertices of a polygonal interval corresponding to the far-field value of the radome, summing the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted to obtain a second far-field pattern interval of the radome, and extracting a second variation interval of the performance indicator of the radome from the second far-field pattern interval; The first variation interval and the second variation interval are compared to analyze performance indicators of the radome.

2. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that: Deleting redundant vertices of a polygonal interval corresponding to the far-field value of the radome includes: Calculate the length array d of each edge in the polygon interval M1 corresponding to the far-field value of the radome, and its expression is: X=[a 1x ,a 2x ,a 3x ,...,a mx ]; And=[a 1y ,to 2y ,to 3y ,...,to my ]; X * =[a 2x ,a 3x ,...,a mx ,a 1x ]; AND * =[a 2y ,to 3y ,...,to my ,to 1y ]; Among them, X and Y represent the vertex coordinate arrays in the polygon interval M1 corresponding to the far-field value of the radome, X represents the vertex x coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, Y represents the vertex y coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, X * Represents the reconstructed array of X, Y * represents the reconstructed array of Y, m represents the number of vertices of the polygon interval M1, and a represents the vertex coordinate value of the polygon interval M1; Find the starting point of the edge corresponding to the minimum length array d min=(x min ,y min ), the starting point is taken as a redundant vertex, and the coordinates of the redundant vertex are deleted from the vertex coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, and the updated vertex coordinate array in the polygon interval M1 corresponding to the far-field value of the radome is obtained, which are respectively: X (1) =[a1' x ,a' 2x ,a' 3x ,...,a ( ' m-1)x ]; Y (1) =[a1' y ,a' 2y ,a' 3y ,...,a ( ' m-1)y ]; Check whether the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N. If not, obtain the polygonal interval corresponding to the far-field value of the radome with redundant vertices deleted; if exceeded, continue to search for redundant vertices and delete them until the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N.

3. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that: Deleting redundant vertices of a polygonal interval corresponding to the far-field value of the radome includes: Calculate the length array d of each edge in the polygon interval M1 corresponding to the far-field value of the radome, and its expression is: X=[a 1x ,a 2x ,a 3x ,...,a mx ]; And=[a 1y ,to 2y ,to 3y ,...,to my ]; X * =[a 2x ,a 3x ,...,a mx ,a 1x ]; AND * =[a 2y ,to 3y ,...,to my ,to 1y ]; Among them, X and Y represent the vertex coordinate arrays in the polygon interval M1 corresponding to the far-field value of the radome, X represents the vertex x coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, Y represents the vertex y coordinate array in the polygon interval M1 corresponding to the far-field value of the radome, X * Represents the reconstructed array of X, Y * represents the reconstructed array of Y, m represents the number of vertices of the polygon interval M1, and a represents the vertex coordinate value of the polygon interval M1; Find the starting point number temp of the edge corresponding to the minimum length array d, and find the vertices numbered temp-1, temp+1, and temp+2 in the vertex coordinate array of the polygon interval M1 corresponding to the far field value of the radome. The coordinates corresponding to the vertices are: temp-1=(x2,y2); temp=(x1,y1); temp+1=(x3,y3); temp+2=(x4,y4); The edge formed by the vertex numbered temp-1 and the vertex numbered temp is used as the first line segment L1, the edge formed by the vertex numbered temp+1 and the vertex numbered temp+2 is used as the second line segment L2, and the edge formed by the vertex numbered temp and the vertex numbered temp+1 is used as the third line segment L3, wherein the expressions of the first line segment L1 and the second line segment L2 are respectively: L1(t)=(x1+t·(x2-x1),y1+t·(y2-y1)); L2(s)=(x3+s·(x4-x3),y3+s·(y4-y3)); Where t and s represent parameters, t∈[0,1], s∈[0,1]; If the first line segment L1 is parallel to the second line segment L2 within the tolerance range, the midpoint M(x M ,y M ) as a new vertex, and the vertex numbered temp and the vertex numbered temp+1 are taken as redundant vertices and deleted to obtain the updated array of vertex coordinates in the polygon interval M1 corresponding to the far-field value of the radome; otherwise, the intersection I(x I ,y I ) as a new vertex, and the vertex numbered temp and the vertex numbered temp+1 are taken as redundant vertices and deleted, so as to obtain an array of vertex coordinates in the polygonal interval M1 corresponding to the updated far-field value of the radome; The intersection of the first line segment L1 and the second line segment L2 is expressed as: L1(t)=L2(s); but, Among them, dx1=x2-x1, dx2=x4-x3, dy1=y2-y1, dy2=y4-y3; The intersection point I(x I ,y I ) is: x I =x3+t·dx2; y I =y3+t·dy2; The vertex coordinate array in the polygon interval M1 corresponding to the updated far-field value of the radome is expressed as: X (2) =[a1' x ,a' 2x ,a' 3x ,...,a ( ' m-1)x ]; Y (2) =[a1' y ,a' 2y ,a' 3y ,...,a ( ' m-1)y ]; Check whether the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N. If not, obtain the polygonal interval corresponding to the far-field value of the radome with redundant vertices deleted; if exceeded, continue to search for redundant vertices and delete them until the number of vertices in the polygonal interval M1 corresponding to the updated far-field value of the radome does not exceed N.

4. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that: Calculating first far-field pattern intervals of the radome corresponding to a plurality of groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extracting a first variation interval of a performance indicator of the radome from the first far-field pattern interval, including: According to the structural parameters and material parameters of the radome, the transmission coefficient T of the radome is calculated using the transmission line theory. M ; According to the known aperture field E(x,y) of the radome, the aperture field E′(x,y) after passing through the radome is calculated, and its expression is: E′(x,y)=E(x,y)·T M ; Among them, T M represents the transmission coefficient of the main polarization component at each point on the radome; According to the aperture field E′(x, y) after passing through the radome, the far field F(θ, φ) of the radome is calculated, and its expression is: Where S′ represents the aperture surface after passing through the radome, θ and represent the spherical coordinate angles of the observation point P in the rectangular coordinate system O-xyz, and k0 represents the free space propagation constant; According to the far field F(θ, φ) of the radome, a first far-field radiation pattern interval is drawn, and the variation interval of the gain G1, the main beam position B1 and the first side lobe level S1 is extracted from the first far-field radiation pattern interval as the first variation interval of the performance indicator of the radome.

5. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 4, characterized in that: Based on the known aperture field E(x,y) of the radome, the aperture field E′(x,y) after passing through the radome is calculated, including: With the center of the bottom surface of the radome as the origin, the bottom surface as the xy plane, and the height of the radome as the z direction, a rectangular coordinate system O-xyz is constructed; According to the geometric shape of the radome and the incident aperture field, the incident angle α and polarization angle β at each point on the radome are determined; The loss tangent tanδ of the radome material is preset to 0, and the relative dielectric constant ε is calculated according to the thickness d at each point of the radome. r , calculate the horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V , whose expressions are: Among them, A, B H , B V , C H , C V and D are both intermediate variables, t H represents the transmission coefficient of the horizontal polarization component T H The modulus, t V represents the vertical polarization component transmission coefficient T V The modulus, η H represents the transmission coefficient of the horizontal polarization component T H The phase, η V represents the vertical polarization component transmission coefficient T V The phase of According to the horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V , calculate the transmission coefficient of the main polarization component at each point on the radome, and its expression is: Among them, γ represents the intermediate variable; The known aperture field E(x, y) of the radome is multiplied by the transmission coefficient T of the main polarization component at the corresponding point. M , and obtain the aperture field E′(x,y) after passing through the radome.

6. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that: Calculate the variation range of the amplitude and phase of the transmission coefficient at each point on the radome, and obtain the fan-shaped range formed by the transmission coefficient at each point on the radome in the complex domain, including: The horizontal polarization component transmission coefficient T at each point on the radome H and the vertical polarization component transmission coefficient T V Simplified to: in, A1, B1 and B2 are all intermediate variables. According to the variation range of the radome thickness d [d L ,d U ], calculate the change interval of the intermediate variable A1 Calculate the variation range of the intermediate variable B1 And calculate the change range of the intermediate variable B2 According to the change range of the intermediate variable A1 The variation range of the intermediate variable B1 and the range of change of the intermediate variable B2 Get the horizontal polarization component transmission coefficient T H The modulus t H The range of change And the horizontal polarization component transmission coefficient T H The phase η H The range of change And construct the horizontal polarization component transmission coefficient T H The fan-shaped interval of According to the change range of the intermediate variable A1 The variation range of the intermediate variable B1 and the range of change of the intermediate variable B2 Get the vertical polarization component transmission coefficient T V The modulus t V The range of change And the vertical polarization component transmission coefficient T V The phase η V The range of change And construct the vertical polarization component transmission coefficient T V The fan-shaped interval of Get the horizontal polarization component transmission coefficient T H The modulus t of the sector formed in the far field of the radome H The range of variation of ′ and the phase η H The range of variation of ′ As the fan-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain, the transmission coefficient of the vertical polarization component T is obtained. V The modulus t of the sector formed in the far field of the radome V The range of variation of ′ and the phase η V The range of variation of ′ The fan-shaped interval formed in the complex domain as the transmission coefficient of the vertical polarization component at each point on the antenna cover.

7. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 6, characterized in that: Divide the fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygonal interval in the real domain, including: Get the four endpoints of the fan-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain and and the coordinates of the endpoints and The endpoint With the endpoint between, the endpoints With the endpoint The endpoint With the endpoint Use straight lines to connect the endpoints With the endpoint Arcs are used between them and line segments tangent to the arcs are used to connect them, so as to convert the fan-shaped interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain into a polygonal interval in the real domain; Get the four endpoints of the fan-shaped interval formed by the vertical polarization component transmission coefficient at each point on the radome in the complex domain and and the coordinates of the endpoints and The endpoint With the endpoint between, the endpoints With the endpoint The endpoint With the endpoint Use straight lines to connect the endpoints With the endpoint The arcs are used to connect the points and the line segments tangent to the arcs to convert the fan-shaped interval formed by the transmission coefficient of the vertical polarization component at each point on the radome in the complex domain into a polygonal interval in the real domain; The order of the endpoints of the polygonal interval in the real number domain corresponding to the transmission coefficient of the horizontal polarization component at each point on the antenna cover and the polygonal interval in the real number domain corresponding to the transmission coefficient of the vertical polarization component are adjusted so that the starting endpoint has the smallest imaginary part in the complex number domain, and all endpoints are arranged counterclockwise according to the original fan-shaped interval.

8. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 7, characterized in that: According to the polygonal interval of the transmission coefficient at each point on the radome in the real number domain, the polygonal interval corresponding to the far-field value of the radome is obtained, including: According to the far-field integral formula, the polygonal interval in the real number domain corresponding to the transmission coefficient of the horizontal polarization component at each point on the radome and the polygonal interval in the real number domain corresponding to the transmission coefficient of the vertical polarization component are rewritten and summed to obtain the polygonal interval corresponding to the far-field value of the radome.

9. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that: Comparing the first variation interval with the second variation interval, analyzing performance indicators of the radome, including: Compare the first change interval and the second change interval to determine whether the electrical performance indicators of the antenna cover meet the preset requirements. If so, obtain the results of analyzing the performance indicators of the antenna cover. If not, continue to delete the redundant nodes of the polygonal interval corresponding to the far-field value of the antenna cover, and update the second far-field radiation pattern interval of the antenna cover until the electrical performance indicators of the antenna cover meet the preset requirements.

10. An analysis device for electrical performance of a radome based on polygon vertex control, characterized in that: include: A data acquisition unit, used to randomly generate a plurality of groups of radome thickness error distributions according to a preset range of variation of radome thickness values; A first variation interval acquisition module is used to calculate first far-field pattern intervals of the radome corresponding to multiple groups of radome thickness error distributions according to structural parameters and material parameters of the radome, and extract a first variation interval of the performance index of the radome from the first far-field pattern interval; A conversion module is used to calculate the variation range of the amplitude and phase of the transmission coefficient at each point on the radome, and obtain the fan-shaped range formed by the transmission coefficient at each point on the radome in the complex domain; The fan-shaped interval formed by the transmission coefficient at each point on the radome in the complex number domain is divided into a polygonal interval in the real number domain; according to the polygonal interval of the transmission coefficient at each point on the radome in the real number domain, the polygonal interval corresponding to the far-field value of the radome is obtained; A second variation interval acquisition module is used to delete redundant vertices of a polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome with the redundant vertices deleted, obtain a second far-field pattern interval of the radome, and extract a second variation interval of the performance indicator of the radome from the second far-field pattern interval; An analysis module is used to compare the first change interval and the second change interval to analyze the performance indicators of the antenna cover.

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