Waveguide slot array antenna electrical performance coupling compensation method and equipment

By acquiring the structural and electromagnetic parameters of the waveguide slot array antenna, finite element thermo-structure coupling simulation was performed. The solid structure was reconstructed and imported into electromagnetic field simulation software. The slot voltage response characteristic matrix was calculated, structural and temperature drift errors were extracted, and electrical performance analysis was performed in conjunction with the electromechanical-thermal coupling model. Finally, the compensation excitation was calculated, which solved the problem of electrical performance degradation caused by thermal load on the waveguide slot array antenna and improved the electrical performance compensation effect.

CN119106580BActive Publication Date: 2025-12-02XIDIAN UNIV
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Patent Information

Application Number
CN202411108835.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-08-13
Publication Date
2025-12-02
Estimated Expiration
2044-08-13

AI Technical Summary

Technical Problem

Existing antenna error compensation methods are not effective in compensating for the electrical performance loss of waveguide slot array antennas under the influence of thermal loads. In particular, due to the dense arrangement of slots and severe mutual coupling, existing methods cannot accurately compensate for the performance degradation caused by thermal deformation and electromagnetic field coupling.

Method used

By acquiring the structural and electromagnetic parameters of the waveguide slot array antenna, finite element thermo-structure coupling simulation is performed. The thermal deformation mesh model is extracted, the solid is reconstructed and imported into electromagnetic field simulation software, the slot voltage response characteristic matrix is ​​calculated, the structural and temperature drift errors are extracted, and the electrical performance is analyzed in combination with the electromechanical-thermal coupling model. Finally, the compensation excitation is calculated to compensate for the electrical performance.

Benefits of technology

This study improves the coupling analysis of electrical performance under the influence of thermal load on waveguide slot array antennas, simplifies the compensation process, enhances the effectiveness of electrical performance compensation, and reduces the difficulty.

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Patent Text Reader

Abstract

This invention provides a method and apparatus for electrical performance coupling compensation of waveguide slot array antennas. In this method, by considering the structural error caused by thermal deformation of the thermal deformation mesh model and calculating the temperature drift error of the excitation amplitude and phase at each port, a pre-defined electromechanical-thermal coupling model is constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna. The electrical performance coupling analysis results are obtained by combining the response characteristic matrix, structural error, temperature drift error, and the pre-defined electromechanical-thermal coupling model, thus improving the effectiveness of electrical performance coupling analysis under the influence of thermal load on the waveguide slot array antenna. Furthermore, based on the compensation idea of ​​ideal pattern approximation, the compensation excitation of the waveguide slot array antenna is adjusted by a pre-defined least-squares compensation model, realizing a simple and feasible way to compensate for the electrical performance degradation of the waveguide slot array antenna caused by temperature load, reducing the difficulty of electrical performance compensation for the waveguide slot array antenna, and improving the electrical performance compensation effect.
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Description

Technical Field

[0001] This invention relates to the field of antenna technology, and specifically to a method and device for electrical performance coupling compensation of waveguide slot array antennas. Background Technology

[0002] Waveguide slot array antennas, due to their compact structure, high power capacity, high radiation efficiency, and good environmental adaptability, have been widely used in airborne, missile-borne, and spaceborne radars. By flexibly designing the structural parameters of the array slots, the amplitude and phase distribution of each slot excitation can be physically controlled to achieve narrow beams and shaped beams. However, because the radiation of waveguide slot array antennas is closely related to their structure, the radiation characteristics of the slots, especially those operating at high frequencies, are highly sensitive to even minor structural errors. On the other hand, due to the high power capacity of the waveguide slot array antenna itself, its transceiver components inevitably generate significant heat dissipation during operation. Furthermore, the antenna is usually directly exposed to the environment during service, subject to the effects of thermal radiation and convection. These thermal radiation and convection primarily affect the service electrical performance of the waveguide slot array antenna in two ways: array thermal deformation and the performance temperature drift of the transceiver components.

[0003] To address the aforementioned issues, methods are needed to compensate for the degradation of the electrical performance of waveguide slot array antennas caused by temperature loads. Currently, some compensation methods have been observed for general phased array antennas. For example, in Scheme 1, "Compensation method for distorted planar array antennas based on structural–electromagnetic coupling and fast Fourier transform," the antenna compensation amount is calculated using the Fast Fourier Transform method to compensate for the antenna's electrical performance degradation caused by the element position error due to environmental thermal loads on spaceborne phased arrays. However, this method is suitable for sparse arrays and is not applicable to antenna objects such as waveguide slot array antennas with dense slot arrangement and severe mutual coupling. Existing Scheme 2, "A Fast Compensation Method for Deformed Conformal Antenna Arrays Considering Mutual Coupling Effect," discloses a method based on a modified FFT combined with the least squares principle (MFFT-LSE). This method compensates for the structural error of conformal antennas. However, the structure and feeding of conformal antennas are very different from those of waveguide slot array antennas. The thermal deformation and electromagnetic field coupling relationship of waveguide slot array antennas are more complex than those of conformal antennas. Therefore, the above-mentioned Method 2 is also not applicable to waveguide slot array antenna objects.

[0004] Therefore, existing antenna error compensation methods cannot be directly applied to compensate for the electrical performance loss of waveguide slot array antennas under the influence of thermal load. Summary of the Invention

[0005] To address the aforementioned problems in the prior art, this invention provides a method and device for electrical performance coupling compensation of waveguide slot array antennas.

[0006] The technical problem to be solved by this invention is achieved through the following technical solution:

[0007] In a first aspect, the present invention provides a method for electrical performance coupling compensation of a waveguide slot array antenna, comprising:

[0008] Obtain the structural and electromagnetic parameters of the waveguide slot array antenna;

[0009] The ideal voltage excitation for each slot of the waveguide slot array antenna is determined, and the ideal radiation pattern is calculated based on the ideal voltage excitation and combined with structural and electromagnetic parameters.

[0010] Based on the preset thermal conditions and model material parameters, finite element thermo-structure coupling simulation calculations are performed to obtain the surface temperature distribution and thermal deformation mesh model.

[0011] Based on a preset 3D modeling application, the thermal deformation mesh model is reconstructed to obtain the reconstructed entity;

[0012] The reconstructed entity is imported into a preset electromagnetic field simulation software as an electromagnetic boundary, and the response characteristic matrix of the gap voltage under the electromagnetic boundary is extracted.

[0013] Based on a preset offset extraction formula, the structural error value formed by thermal deformation is extracted from the thermal deformation mesh model to obtain the structural error;

[0014] The average temperature is obtained by extracting the temperature at the T / R component mounting location of each port of the waveguide slot array antenna from the array surface temperature distribution.

[0015] Substitute the average temperature into the preset T / R component temperature drift test fitting formula to calculate the temperature drift error of the excitation amplitude phase at each port.

[0016] The response characteristic matrix, structural error, and temperature drift error were substituted into the preset electromechanical-thermal coupling model to perform electrical performance analysis, and the electrical performance coupling analysis results were obtained. The preset electromechanical-thermal coupling model was constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna.

[0017] By substituting the ideal radiation pattern and electrical performance coupling analysis results into the preset least squares compensation model, the compensation excitation of the waveguide slot array antenna under the preset thermal conditions is calculated.

[0018] The excitation current of the waveguide slot array antenna is compensated based on the compensation excitation.

[0019] Optionally, structural parameters include: the design length l of the slots in the waveguide slot array antenna. n The design width w of the slot in the waveguide slot array antenna n The center position vector r of the slot relative to the origin in the waveguide slot array antenna. n Electromagnetic parameters include: the center operating frequency f of the waveguide slot array antenna and the antenna operating wavelength λ of the waveguide slot array antenna.

[0020] The ideal voltage excitation for each slot of the waveguide slot array antenna is determined. Based on the ideal voltage excitation and combined with structural and electromagnetic parameters, the ideal radiation pattern is calculated, including:

[0021] Based on the antenna excitation weighting algorithm, the amplitude and phase distribution V corresponding to the ideal voltage excitation of the nth slot of the waveguide slot array antenna under ideal conditions is determined. 0n ;

[0022] Based on amplitude and phase distribution V 0n The ideal radiation pattern is calculated using the following formula, taking into account structural and electromagnetic parameters.

[0023]

[0024] in, θ represents the azimuth angle of the target direction, θ represents the elevation angle of the target direction, n represents the nth slot of the waveguide slot array antenna, and N represents the total number of waveguide ports of the waveguide slot array antenna. Let represent the element radiation pattern of the nth slot in a waveguide slot array antenna, where e represents the base of the natural logarithm, j represents the imaginary unit, and k represents the free-space wavenumber. r n rn represents the position vector of the center of the nth slot in the waveguide slot array antenna relative to the origin of the array surface coordinate system, and r0 represents the angle of the target. unit vector, a represents an intermediate variable. θ This represents the unit vector representing the elevation direction of the slots in a waveguide slot array antenna in polar coordinates. This represents the unit vector of the azimuth direction of the slots in a waveguide slot array antenna in polar coordinates.

[0025] Optionally, the thermal deformation mesh model is reconstructed based on a preset 3D modeling application to obtain a reconstructed entity, including:

[0026] The STL format thermal deformation mesh model was reconstructed using Spaceclaim 3D modeling to obtain a SAT format antenna thermal deformation solid model.

[0027] The antenna thermal deformation solid model in SAT format is used as the reconstructed entity.

[0028] Optionally, the reconstructed entity is imported as an electromagnetic boundary into a preset electromagnetic field simulation software, and the response characteristic matrix of the gap voltage under the electromagnetic boundary is extracted, including:

[0029] S201. Based on the center position vector of the slot relative to the origin of the waveguide slot array antenna, the preset number of discrete points q extracted by the electric field, and the design width of the slot in the waveguide slot array antenna, calculate the discrete coordinates F of the points on the center lines of the N*M slots in the waveguide slot array antenna.

[0030]

[0031] Where F represents the discrete coordinates of the point on the center line of the nth slot in the waveguide slot array antenna.

[0032] nx nThe vector representing the center position of the nth slot in the waveguide slot array antenna relative to the origin along the x-axis is y. n The z-axis represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system along the y-axis. n This represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system in the z-axis direction;

[0033] S202. Using the HFSS field calculator, derive the electric field intensity of the discrete coordinates F of the points on the center line of the gap, and then apply the electric field intensity along the corresponding center line c of the gap. n Path integration is performed to obtain the active response of the slot voltage on the array surface relative to waveguide port 1; the active response of port 1 is denoted as Z. 1,1 ~Z N*M,1 N represents the total number of waveguide ports in the waveguide slot array antenna, M represents the total number of slots corresponding to each waveguide port in the waveguide slot array antenna, N*M represents the total number of slots in the waveguide slot array antenna, and n is an integer between 1 and N*M.

[0034] S203. Repeat S202 to individually feed each waveguide port to obtain the response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is the response characteristic matrix Z of the voltage at the center of the array slot relative to the waveguide port.

[0035]

[0036] in, Z n,m E represents the value in the nth row and mth column of the response characteristic matrix Z. n,m This represents the electric field value along the center line of the slot n under excitation at the waveguide port m. c represents the center line along the gap n. n Perform path integration.

[0037] Optionally, structural errors include: the length l′ of the gap after heat deformation and the width w′ of the gap after heat deformation;

[0038] l′=l+Δl;

[0039] w′=w+Δw;

[0040] l represents the designed length of the gap, w represents the designed width of the gap, Δl represents the length deformation caused by thermal deformation, and Δw represents the width deformation caused by thermal deformation; the structural error of the nth gap is expressed as:

[0041]

[0042] Δr n,1 =(Δx)n,1 ,Δy n,1 ,Δz n,1 );

[0043] Δr n,2 =(Δx) n,2 ,Δy n,2 ,Δz n,2 );

[0044] Δl n =Δy n,1 +Δy n,2 ;

[0045] Δw n =Δx n,1 +Δx n,2 ;

[0046] Where, Δr n Δr represents the displacement vector at the center of the nth gap. n,1 Δr represents the displacement of the first diagonal point in the nth group of gaps. n,2 Δx represents the displacement of the second diagonal point in the nth group of gaps. n,1 ,Δy n,1 ,Δz n,1 Let Δx represent the displacements of the first diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively. n,2 ,Δy n,2 ,Δz n,2 These represent the displacements of the second diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively.

[0047] Optionally, the temperature at each port T / R component mounting location of the waveguide slot array antenna is extracted from the array surface temperature distribution to obtain the average temperature, including:

[0048] Extract the temperature distribution at the location of each T / R component from the array temperature distribution;

[0049] Calculate the mean temperature distribution at the location of each T / R component, and use the mean temperature distribution as the average temperature at the installation location of each T / R component.

[0050] Optionally, the preset T / R component temperature drift test fitting formula is expressed as:

[0051]

[0052] Where ΔR represents the temperature drift error, T n ΔA represents the average temperature at the mounting location of the T / R assembly at the nth waveguide port. n (T n ) represents T n The amplitude temperature drift error at the nth waveguide port. T represents n The phase temperature drift error at the nth waveguide port, where j represents the imaginary unit.

[0053] Optionally, the preset electromechanical-thermal coupling model is represented as:

[0054]

[0055] in, V′ represents the result of the electrical performance coupling analysis. n This represents the nth element in the gap voltage excitation matrix V′. This represents the radiation pattern of the nth slot element in a waveguide slot array antenna after thermal deformation, l′ n w′ represents the length of the nth gap after thermal deformation. n Δr represents the width of the nth gap after thermal deformation. n The displacement vector represents the position of the center of the nth gap;

[0056] V′=Z(P.*ΔR);

[0057] P = [P1, P2, ..., P] N ] T ;

[0058] P represents the excitation input matrix of the waveguide slot array antenna, * represents matrix multiplication, ΔR represents the temperature drift error, and P N Let T represent the complex excitation of the Nth waveguide port. The complex excitation contains the amplitude and phase information of the Nth waveguide port excitation. T represents the transpose of the matrix.

[0059] Optionally, the preset least squares compensation model is expressed as:

[0060] P c =[(WU c Z) T (WU c Z)] -1 (WU c Z) T WU0V0. / ΔR;

[0061] P c V0 represents the slot voltage excitation conforming to the ideal array aperture distribution, and U0 represents the first matrix, which contains the ideal array element pattern and spatial phase. c The second matrix contains the deformed slit element radiation pattern and a spatial phase term with position error; ΔR represents the temperature drift error; Z represents the response characteristic matrix; W represents the weight matrix for radiation pattern approximation at discrete angles; . / represents point division.

[0062] W = diag[W1, W2, ... W q ];

[0063]

[0064] φ′ n,m =k(r m +Δr m )·r 0n ;

[0065]

[0066] P c =[P c1 ,P c2 …P cN ] T ;

[0067]

[0068] φ n,m =k(r m ·r 0n );

[0069] Where q is the total number of discrete angles, and diag[W1,W2,…W q ] indicates that W1, W2, ... W q W is a diagonal matrix with diagonal elements. q This represents the approximation weight at the q-th discrete angle. This indicates the angle of the N*Mth gap after heat deformation. The array element pattern below, φ′ n,m This represents the displacement vector Δr considering the gap m. m The spatial phase at the nth discrete angular position, r m Δr represents the position vector of the m-th slot center of the waveguide slot array antenna relative to the origin of the array surface coordinate system. m r represents the displacement vector at the center position of the m-th gap. 0n Represents the nth discrete angle The direction vector, P cN For P c The Nth element represents the compensation excitation value for the Nth waveguide port. This indicates that the N*M-th gap is at the nth discrete angle. The ideal array element pattern, φ n,m Let l represent the spatial phase of the gap m at the nth discrete angular position. N·M w N·M The corresponding dimensions represent the design length and width of the N*Mth gap; l′ N·M w′ N·MThe corresponding dimensions represent the length and width of the N*Mth gap after thermal deformation.

[0070] In a second aspect, the present invention provides a waveguide slot array antenna electrical performance coupling compensation device, comprising: a processor, a storage medium and a bus, wherein the storage medium stores machine-readable instructions executable by the processor, and when the waveguide slot array antenna electrical performance coupling compensation device is running, the processor communicates with the storage medium via the bus, and the processor executes the machine-readable instructions to perform the steps of the waveguide slot array antenna electrical performance coupling compensation method of the first aspect described above.

[0071] This invention provides a method and device for electrical performance coupling compensation of waveguide slot array antennas. The method includes: acquiring the structural and electromagnetic parameters of the waveguide slot array antenna; determining the ideal voltage excitation for each slot of the waveguide slot array antenna; calculating the ideal radiation pattern based on the ideal voltage excitation and the structural and electromagnetic parameters; performing finite element thermo-structure coupling simulation calculations according to preset thermal conditions and model material parameters to obtain the array surface temperature distribution and thermal deformation mesh model; reconstructing the thermal deformation mesh model using a preset 3D modeling application to obtain the reconstructed entity; importing the reconstructed entity as the electromagnetic boundary into a preset electromagnetic field simulation software to extract the response characteristic matrix of the slot voltage under the electromagnetic boundary; and extracting the structural error value formed by thermal deformation in the thermal deformation mesh model based on a preset offset extraction formula to obtain the structural error value formed by thermal deformation. The structural error is calculated by extracting the temperature at the T / R component installation location of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature. The average temperature is then substituted into the preset T / R component temperature drift test fitting formula to calculate the temperature drift error of the excitation amplitude and phase at each port. The response characteristic matrix, structural error, and temperature drift error are substituted into the preset electromechanical-thermal coupling model for electrical performance analysis to obtain the electrical performance coupling analysis results. The preset electromechanical-thermal coupling model is constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna. The ideal radiation pattern and electrical performance coupling analysis results are then substituted into the preset least squares compensation model to calculate the compensated excitation of the waveguide slot array antenna under preset thermal conditions. The excitation current of the waveguide slot array antenna is compensated based on the compensated excitation. In this invention, by considering the structural error caused by thermal deformation of the thermal deformation mesh model and calculating the temperature drift error of the excitation amplitude and phase at each port, a pre-defined electromechanical-thermal coupling model is constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna. The electrical performance coupling analysis results are obtained by combining the response characteristic matrix, structural error, temperature drift error, and the pre-defined electromechanical-thermal coupling model, which improves the effect of electrical performance coupling analysis under the influence of thermal load on the waveguide slot array antenna. In addition, based on the compensation idea of ​​ideal pattern approximation, the compensation excitation of the waveguide slot array antenna is adjusted by a pre-defined least squares compensation model, realizing a simple and feasible way to compensate for the electrical performance degradation of the waveguide slot array antenna caused by temperature load, reducing the difficulty of electrical performance compensation for the waveguide slot array antenna, and improving the effect of electrical performance compensation.

[0072] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description

[0073] Figure 1 A flowchart illustrating a method for electrical performance coupling compensation of a waveguide slot array antenna provided in an embodiment of the present invention;

[0074] Figure 2This is a schematic diagram of the structural model of the waveguide slot array antenna provided in an embodiment of the present invention;

[0075] Figure 3 This is a amplitude and phase distribution diagram corresponding to the ideal voltage excitation of a given array surface provided in an embodiment of the present invention;

[0076] Figure 4 This is a schematic diagram of an ideal orientation pattern provided for an embodiment of the present invention;

[0077] Figure 5 This is a schematic diagram of the simulated heat generation power on the back of the waveguide slot array antenna provided in an embodiment of the present invention;

[0078] Figure 6 A schematic diagram of the array surface temperature distribution provided in an embodiment of the present invention;

[0079] Figure 7 A schematic diagram of a thermally deformable mesh model provided in an embodiment of the present invention;

[0080] Figure 8 This is a schematic diagram of the reconstructed entity structure provided in an embodiment of the present invention;

[0081] Figure 9 A schematic diagram of the response characteristic matrix provided in an embodiment of the present invention;

[0082] Figure 10 This is a schematic diagram showing the positional offset of the diagonal point of the gap provided in an embodiment of the present invention;

[0083] Figure 11 This is a schematic diagram of the displacement of the diagonal point of the gap provided in an embodiment of the present invention;

[0084] Figure 12 This is a schematic diagram of the average temperature distribution provided in an embodiment of the present invention;

[0085] Figure 13 The comparison results of the E-plane radiation patterns of the waveguide slot array antenna before and after compensation are provided in the embodiments of the present invention;

[0086] Figure 14 The comparison results of the H-plane radiation patterns of the waveguide slot array antenna before and after compensation provided in the embodiments of the present invention;

[0087] Figure 15 This is a schematic diagram of the electrical performance coupling compensation device for waveguide slot array antenna provided in an embodiment of the present invention. Detailed Implementation

[0088] The present invention will be further described in detail below with reference to specific embodiments, but the implementation of the present invention is not limited thereto.

[0089] To reduce the difficulty of electrical performance compensation for waveguide slot array antennas and improve the effectiveness of electrical performance compensation, this invention provides a method for electrical performance coupling compensation of waveguide slot array antennas. Figure 1 This is a flowchart illustrating a waveguide slot array antenna electrical performance coupling compensation method provided in an embodiment of the present invention. Figure 1 As shown, it includes:

[0090] S101. Obtain the structural and electromagnetic parameters of the waveguide slot array antenna.

[0091] Optionally, structural parameters include: the design length l of the slots in the waveguide slot array antenna. n The design width w of the slot in the waveguide slot array antenna n The center position vector r of the slot relative to the origin in the waveguide slot array antenna. n Electromagnetic parameters include: the center operating frequency f of the waveguide slot array antenna and the antenna operating wavelength λ of the waveguide slot array antenna.

[0092] S102. Determine the ideal voltage excitation for each slot of the waveguide slot array antenna. Based on the ideal voltage excitation and combined with structural and electromagnetic parameters, calculate the ideal radiation pattern.

[0093] Optionally, S102 may specifically include:

[0094] Based on the antenna excitation weighting algorithm, the amplitude and phase distribution V corresponding to the ideal voltage excitation of the nth slot of the waveguide slot array antenna under ideal conditions is determined. 0n ;

[0095] Based on amplitude and phase distribution V 0n The ideal radiation pattern is calculated using the following formula, taking into account structural and electromagnetic parameters.

[0096]

[0097] in, θ represents the azimuth angle of the target direction, θ represents the elevation angle of the target direction, n represents the nth slot of the waveguide slot array antenna, and N represents the total number of waveguide ports of the waveguide slot array antenna. Let represent the element radiation pattern of the nth slot in a waveguide slot array antenna, where e represents the base of the natural logarithm, j represents the imaginary unit, and k represents the free-space wavenumber. r n rn represents the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array surface coordinate system, and r0 represents the angle of the target. unit vector, a represents an intermediate variable. θThis represents the unit vector representing the elevation direction of the slots in a waveguide slot array antenna in polar coordinates. This represents the unit vector of the azimuth direction of the slots in a waveguide slot array antenna in polar coordinates.

[0098] In an embodiment of the present invention, r n =(x n ,y n ,z n ), where x n ,y n ,z n These represent the position vectors of the nth slot center of the waveguide slot array antenna relative to the origin of the array surface on the x-axis, y-axis, and z-axis, respectively.

[0099] Figure 2 This is a schematic diagram of the structural model of the waveguide slot array antenna provided in an embodiment of the present invention. Figure 2 As shown, the structural model is a waveguide slot antenna array model with a wide side longitudinal slot configuration, operating at a frequency of 9.375 GHz and a slot size of 10*10. The offset and length of the slots are designed according to the Taylor distribution with a sidelobe level of -30 dB and an equal number of sidelobes of 6.

[0100] Figure 3 The amplitude and phase distribution diagram corresponding to the ideal voltage excitation of a given array surface is provided in the embodiments of the present invention. Figure 4 This is a schematic diagram of an ideal orientation pattern provided for an embodiment of the present invention.

[0101] S103. Based on the preset thermal conditions and model material parameters, perform finite element thermo-solid coupling simulation calculations to obtain the surface temperature distribution and thermal deformation mesh model.

[0102] In this embodiment of the invention, for illustrative purposes, the antenna material is given as 3A21 aluminum alloy, and its material parameters are as follows:

[0103] Table 1. Material parameters of type 3A21 aluminum alloy

[0104]

[0105] The temperature distribution of the waveguide slot array antenna under a high-temperature heat penetration condition of 120℃ was simulated in Ansys software. Figure 5 This is a schematic diagram of the simulated heat generation power on the back of the waveguide slot array antenna provided in an embodiment of the present invention. In addition, the heat generation of the port T / R components was also simulated. Under given antenna material parameters and antenna thermal conditions, finite element thermo-mechanical coupling simulation of the waveguide slot array antenna was performed using Ansys to obtain the antenna's temperature distribution and thermal deformation results. Figure 6 This is a schematic diagram of the array surface temperature distribution provided in an embodiment of the present invention. Figure 7This is a schematic diagram of the thermal deformation mesh model provided in an embodiment of the present invention. The results show that under the action of simulated thermal load, the highest temperature of the antenna array reaches 139.98℃, and the maximum thermal deformation reaches 0.19mm.

[0106] S104. Based on the preset 3D modeling application, the thermal deformation mesh model is reconstructed to obtain the reconstructed entity.

[0107] It should be noted that, in the embodiments of the present invention, the preset 3D modeling application may specifically be Spaceclaim.

[0108] Optionally, S104 may specifically include:

[0109] The STL format thermal deformation mesh model was reconstructed using Spaceclaim 3D modeling to obtain a SAT format antenna thermal deformation solid model.

[0110] The antenna thermal deformation solid model in SAT format is used as the reconstructed entity.

[0111] Figure 8 This is a schematic diagram of the reconstructed entity structure provided in an embodiment of the present invention.

[0112] S105. Import the reconstructed entity as the electromagnetic boundary into the preset electromagnetic field simulation software, and extract the response characteristic matrix of the gap voltage under the electromagnetic boundary.

[0113] Figure 9 This is a schematic diagram of the response characteristic matrix provided in an embodiment of the present invention, wherein... Figure 9 Figure (a) is a schematic diagram of the amplitude distribution of the response characteristic matrix, in which Figure 9 Figure (b) is a schematic diagram of the phase distribution of the response characteristic matrix.

[0114] In this embodiment of the invention, the preset electromagnetic field simulation software can be HFSS.

[0115] Optionally, S105 may specifically include:

[0116] S201. Based on the center position vector of the slot relative to the origin of the waveguide slot array antenna, the preset number of discrete points q extracted by the electric field, and the design width of the slot in the waveguide slot array antenna, calculate the discrete coordinates F of the points on the center lines of the N*M slots in the waveguide slot array antenna.

[0117]

[0118] Where F represents the discrete coordinates of the point on the center line of the nth slot in the waveguide slot array antenna.

[0119] nx nThe vector representing the center position of the nth slot in the waveguide slot array antenna relative to the origin along the x-axis is y. n The z-axis represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system along the y-axis. n This represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system in the z-axis direction;

[0120] S202. Using the HFSS field calculator, derive the electric field intensity of the discrete coordinates F of the points on the center line of the gap, and then apply the electric field intensity along the corresponding center line c of the gap. n Path integration is performed to obtain the active response of the slot voltage on the array surface relative to waveguide port 1; the active response of port 1 is denoted as Z. 1,1 ~Z N*M,1 N represents the total number of waveguide ports in the waveguide slot array antenna, M represents the total number of slots corresponding to each waveguide port in the waveguide slot array antenna, N*M represents the total number of slots in the waveguide slot array antenna, and n is an integer between 1 and N*M.

[0121] S203. Repeat S202 to individually feed each waveguide port to obtain the response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is the response characteristic matrix Z of the voltage at the center of the array slot relative to the waveguide port.

[0122]

[0123] in, Z n,m E represents the value in the nth row and mth column of the response characteristic matrix Z. n,m This represents the electric field value along the center line of the slot n under excitation at the waveguide port m. c represents the center line along the gap n. n Perform path integration.

[0124] Figure 10 This is a schematic diagram showing the positional offset of the diagonal point of the gap provided in an embodiment of the present invention. Figure 11 This is a schematic diagram of the displacement of the diagonal point of the gap provided in an embodiment of the present invention.

[0125] S106. Based on the preset offset extraction formula, extract the structural error value formed by thermal deformation in the thermal deformation mesh model to obtain the structural error.

[0126] Optionally, structural errors include: the length l′ of the gap after heat deformation and the width w′ of the gap after heat deformation;

[0127] l′=l+Δl;

[0128] w′=w+Δw;

[0129] l represents the designed length of the gap, w represents the designed width of the gap, Δl represents the length deformation caused by thermal deformation, and Δw represents the width deformation caused by thermal deformation; the structural error of the nth gap is expressed as:

[0130]

[0131] Δr n,1 =(Δx) n,1 ,Δy n,1 ,Δz n,1 );

[0132] Δr n,2 =(Δx) n,2 ,Δy n,2 ,Δz n,2 );

[0133] Δl n =Δy n,1 +Δy n,2 ;

[0134] Δw n =Δx n,1 +Δx n,2 ;

[0135] Where, Δr n Δr represents the displacement vector at the center of the nth gap. n,1 Δr represents the displacement of the first diagonal point in the nth group of gaps. n,2 Δx represents the displacement of the second diagonal point in the nth group of gaps. n,1 ,Δy n,1 ,Δz n,1 Let Δx represent the displacements of the first diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively. n,2 ,Δy n,2 ,Δz n,2 These represent the displacements of the second diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively.

[0136] S107. Extract the temperature of the T / R component installation location at each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature.

[0137] Figure 12 This is a schematic diagram of the average temperature distribution provided for an embodiment of the present invention.

[0138] Optionally, S107 may specifically include:

[0139] Extract the temperature distribution at the location of each T / R component from the array temperature distribution;

[0140] Calculate the mean temperature distribution at the location of each T / R component, and use the mean temperature distribution as the average temperature at the installation location of each T / R component.

[0141] S108. Substitute the average temperature into the preset T / R component temperature drift test fitting formula to calculate the temperature drift error of the excitation amplitude phase at each port.

[0142] Optionally, the preset T / R component temperature drift test fitting formula is expressed as:

[0143]

[0144] Where ΔR represents the temperature drift error, T n ΔA represents the average temperature at the mounting location of the T / R assembly at the nth waveguide port. n (T n ) represents T n The amplitude temperature drift error at the nth waveguide port. T represents n The phase temperature drift error at the nth waveguide port, where j represents the imaginary unit.

[0145] S109. Substitute the response characteristic matrix, structural error, and temperature drift error into the preset electromechanical-thermal coupling model to perform electrical performance analysis and obtain the electrical performance coupling analysis results.

[0146] Optionally, the preset electromechanical-thermal coupling model is represented as:

[0147]

[0148] in, V′ represents the result of the electrical performance coupling analysis. n This represents the nth element in the gap voltage excitation matrix V′. This represents the radiation pattern of the nth slot element in a waveguide slot array antenna after thermal deformation, l′ n w′ represents the length of the nth gap after thermal deformation. n Δr represents the width of the nth gap after thermal deformation. n The displacement vector represents the position of the center of the nth gap;

[0149] V′=Z(P.*ΔR);

[0150] P = [P1, P2, ..., P] N ] T ;

[0151] P represents the excitation input matrix of the waveguide slot array antenna, * represents matrix multiplication, ΔR represents the temperature drift error, and P NLet T represent the complex excitation of the Nth waveguide port. The complex excitation contains the amplitude and phase information of the Nth waveguide port excitation. T represents the transpose of the matrix.

[0152] The pre-defined electromechanical-thermal coupling model is constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna.

[0153] S110. Substitute the ideal radiation pattern and electrical performance coupling analysis results into the preset least squares compensation model to calculate the compensation excitation of the waveguide slot array antenna under the preset thermal conditions.

[0154] Optionally, the preset least squares compensation model is expressed as:

[0155] P c =[(WU c Z) T (WU c Z)] -1 (WU c Z) T WU0V0. / ΔR;

[0156] P c V0 represents the slot voltage excitation conforming to the ideal array aperture distribution, and U0 represents the first matrix, which contains the ideal array element pattern and spatial phase. c The second matrix contains the deformed slit element radiation pattern and a spatial phase term with position error; ΔR represents the temperature drift error; Z represents the response characteristic matrix; W represents the weight matrix for radiation pattern approximation at discrete angles; . / represents point division.

[0157] W = diag[W1, W2, ... W q ]

[0158]

[0159] φ′ n,m =k(r m +Δr m )·r 0n ;

[0160]

[0161] P c =[P c1 ,P c2 …P cN ] T ;

[0162]

[0163] φ n,m =k(rm ·r 0n );

[0164] Where q is the total number of discrete angles, and diag[W1,W2,…W q ] indicates that W1, W2, ... W q W is a diagonal matrix with diagonal elements. q This represents the approximation weight at the q-th discrete angle. This indicates the angle of the N*Mth gap after heat deformation. The array element pattern below, φ′ n,m This represents the displacement vector Δr considering the gap m. m The spatial phase at the nth discrete angular position, r m Δr represents the position vector of the m-th slot center of the waveguide slot array antenna relative to the origin of the array surface coordinate system. m r represents the displacement vector at the center position of the m-th gap. 0n Represents the nth discrete angle The direction vector, P cN For P c The Nth element represents the compensation excitation value for the Nth waveguide port. This indicates that the N*M-th gap is at the nth discrete angle. The ideal array element pattern, φ n,m Let l represent the spatial phase of the gap m at the nth discrete angular position. N·M w N·M The corresponding dimensions represent the design length and width of the N*Mth gap; l′ N·M , w′ N·M The corresponding dimensions represent the length and width of the N*Mth gap after thermal deformation.

[0165] S111. The excitation current of the waveguide slot array antenna is compensated based on the compensation excitation.

[0166] This invention provides a method for electrical performance coupling compensation of waveguide slot array antennas, including: considering the structural error caused by thermal deformation of the thermal deformation mesh model, calculating the temperature drift error of the excitation amplitude and phase at each port, constructing a preset electromechanical-thermal coupling model based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna, and using the response characteristic matrix, structural error, temperature drift error, and the preset electromechanical-thermal coupling model to obtain the electrical performance coupling analysis results, thereby improving the effect of electrical performance coupling analysis under the influence of thermal load on the waveguide slot array antenna; in addition, based on the compensation idea of ​​ideal pattern approximation, adjusting the compensation excitation of the waveguide slot array antenna through a preset least squares compensation model, realizing a simple and feasible way to compensate for the electrical performance degradation of the waveguide slot array antenna caused by temperature load, reducing the difficulty of electrical performance compensation of the waveguide slot array antenna, and improving the effect of electrical performance compensation.

[0167] In this embodiment of the invention, with the goal of approximating the antenna radiation pattern in the E-plane, a total of 18001 points are discretized for the E-plane elevation angle, and the weight matrix W is specifically set as follows:

[0168]

[0169] In the formula, diag[ones(1,N)] represents an N*N unit diagonal matrix. Furthermore, the preset least squares compensation model P provided in the above embodiment... c The calculation results of the port compensation excitation are shown in Table 1.

[0170] Table 2. Least Squares Compensation Excitation P c Aspect Ratio

[0171]

[0172] As shown in Table 2, the excitation current compensation amount at the port of the waveguide slot array antenna under the influence of thermal load is finally obtained, realizing the least squares compensation of the waveguide slot array antenna under discrete angles.

[0173] To demonstrate the effectiveness of the method of the present invention, Figure 13 This is a comparison of the E-plane radiation patterns of the waveguide slot array antenna before and after compensation, provided in an embodiment of the present invention. Figure 14 The comparison results of the H-plane radiation patterns of the waveguide slot array antenna before and after compensation are provided in the embodiments of the present invention.

[0174] based on Figure 13 and Figure 14 The radiation patterns of the waveguide slot array antenna before and after compensation in the E and H planes are shown in Table 3. The results of the electrical performance analysis are also shown in Table 3.

[0175] Table 3. Electrical performance analysis results of the waveguide slot array antenna before and after compensation.

[0176] No error Temperature effect Least squares compensation Gain (dB) 26.17 25.80 25.85 Maximum sidelobe level (dB) on the E plane -28.58 -26.57 -29.70 E-plane half-power beamwidth (°) 8.50 8.53 8.44 Maximum sidelobe level (dB) in the H-plane -27.39 -26.46 -26.50 H-plane half-power beamwidth (°) 9.66 10.37 10.37

[0177] The results in Table 3 show that the gain of the waveguide slot array antenna decreases by approximately 0.37 dB, the E-plane sidelobe increases by 2.01 dB, and the H-plane sidelobe increases by 0.93 dB under the influence of temperature error. However, after applying the compensation method proposed in this invention, compared with the electrical performance of the waveguide slot array antenna under the influence of temperature error, the least squares compensation reduces the gain loss by 0.05 dB without significantly changing the E-plane half-power beamwidth, suppresses the maximum E-plane sidelobe level of 3.13 dB and the maximum H-plane sidelobe level of 0.04 dB, and achieves compensation for the electrical performance of the waveguide slot array antenna under the influence of temperature load.

[0178] The beneficial effects of the waveguide slot array antenna electrical performance coupling compensation method provided by this invention are as follows:

[0179] (1) Based on the thermal deformation of the waveguide slot array antenna caused by temperature load and the temperature drift of the T / R component, the present invention establishes an electromechanical-thermal coupling analysis and calculation model for the waveguide slot array antenna based on the coupling mechanism between the temperature field, structural field and electromagnetic field of the waveguide slot array antenna, thereby improving the effect of electrical performance coupling analysis under the influence of thermal load on the waveguide slot array antenna.

[0180] (2) Based on the feeding characteristics of the waveguide slot array antenna and the compensation idea of ​​ideal pattern approximation, this invention derives the compensation calculation model of the waveguide slot array antenna by least squares method. By adjusting the wave control excitation of the antenna, the electrical performance degradation of the waveguide slot array antenna caused by temperature load can be compensated in a simple and feasible way, reducing the difficulty of electrical performance compensation of the waveguide slot array antenna and improving the electrical performance compensation effect.

[0181] The method provided in this embodiment of the invention can be applied to electronic devices. Specifically, the electronic device can be a desktop computer, a portable computer, a smart mobile terminal, a server, etc., and this embodiment of the invention does not limit the application to such devices.

[0182] Based on the same inventive concept, embodiments of the present invention also provide a waveguide slot array antenna electrical performance coupling compensation device. Figure 15A schematic diagram of the waveguide slot array antenna electrical performance coupling compensation device provided in an embodiment of the present invention includes: a processor 710, a storage medium 720, and a bus 730. The storage medium 720 stores machine-readable instructions executable by the processor 710. When the waveguide slot array antenna electrical performance coupling compensation device is running, the processor 710 communicates with the storage medium 720 via the bus 730, and the processor 710 executes the machine-readable instructions to perform the steps of the above-described method embodiment. The specific implementation and technical effects are similar and will not be described in detail here.

[0183] The storage medium may include random access memory (RAM) or non-volatile memory (NVM), such as at least one disk storage device. Optionally, the storage medium may also be at least one storage device located remotely from the aforementioned processor.

[0184] The processors mentioned above can be general-purpose processors, including central processing units (CPUs), network processors (NPs), etc.; they can also be digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components.

[0185] It should be noted that the terms "first," "second," etc., are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present invention. Rather, they are merely examples of apparatuses and methods consistent with some aspects of the invention.

[0186] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., refer to specific features or characteristics described in connection with that embodiment or example, which are included in at least one embodiment or example of the present invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features or characteristics described may be combined in any suitable manner in one or more embodiments or examples. Furthermore, those skilled in the art can combine and integrate the different embodiments or examples described in this specification.

[0187] Although the invention has been described herein in conjunction with various embodiments, those skilled in the art, by reviewing the accompanying drawings and the disclosure, will understand and implement other variations of the disclosed embodiments in carrying out the claimed invention. In the description of the invention, the word "comprising" does not exclude other components or steps, "a" or "an" does not exclude a plurality, and "a plurality" means two or more, unless otherwise explicitly specified. Furthermore, while different embodiments may describe certain measures, this does not mean that these measures cannot be combined to produce good results.

[0188] The above description, in conjunction with specific preferred embodiments, provides a further detailed explanation of the present invention. It should not be construed that the specific implementation of the present invention is limited to these descriptions. For those skilled in the art, various simple deductions or substitutions can be made without departing from the inventive concept, and all such modifications and substitutions should be considered within the scope of protection of the present invention.

Claims

1. A method for electrical performance coupling compensation of a waveguide slot array antenna, characterized in that, include: Obtain the structural and electromagnetic parameters of the waveguide slot array antenna; The ideal voltage excitation for each slot of the waveguide slot array antenna is determined, and the ideal radiation pattern is calculated based on the ideal voltage excitation and in combination with the structural parameters and the electromagnetic parameters. Based on the preset thermal conditions and model material parameters, finite element thermo-structure coupling simulation calculations are performed to obtain the surface temperature distribution and thermal deformation mesh model. The thermal deformation mesh model is reconstructed based on a preset 3D modeling application to obtain a reconstructed entity. The reconstructed entity is imported into a preset electromagnetic field simulation software as an electromagnetic boundary, and the response characteristic matrix of the gap voltage under the electromagnetic boundary is extracted. Based on a preset offset extraction formula, the structural error value formed by thermal deformation is extracted from the thermal deformation mesh model to obtain the structural error; The average temperature is obtained by extracting the temperature at each port T / R component mounting location of the waveguide slot array antenna from the array surface temperature distribution. Substitute the average temperature into the preset T / R component temperature drift test fitting formula to calculate the temperature drift error of the excitation amplitude phase at each port. Substitute the response characteristic matrix, the structural error, and the temperature drift error into a preset electromechanical-thermal coupling model to perform electrical performance analysis and obtain the electrical performance coupling analysis results. The preset electromechanical-thermal coupling model is constructed based on the coupling mechanism between the temperature field, structural field, and electromagnetic field of the waveguide slot array antenna. The ideal radiation pattern and the electrical performance coupling analysis results are substituted into the preset least squares compensation model to calculate the compensation excitation of the waveguide slot array antenna under the preset thermal conditions. The excitation current of the waveguide slot array antenna is compensated based on the compensation excitation.

2. The waveguide slot array antenna electrical performance coupling compensation method according to claim 1, characterized in that, The structural parameters include: the design length l of the slot in the waveguide slot array antenna. n The design width w of the slot in the waveguide slot array antenna n The center position vector r of the slot relative to the origin in the waveguide slot array antenna. n The electromagnetic parameters include: the center operating frequency f of the waveguide slot array antenna and the antenna operating wavelength λ of the waveguide slot array antenna. The process of determining the ideal voltage excitation for each slot of the waveguide slot array antenna, and calculating the ideal radiation pattern based on the ideal voltage excitation and in conjunction with the structural parameters and the electromagnetic parameters, includes: Based on the antenna excitation weighting algorithm, the amplitude and phase distribution V corresponding to the ideal voltage excitation of the nth slot of the waveguide slot array antenna under ideal conditions is determined. 0n ; Based on the amplitude-phase distribution V 0n The ideal radiation pattern is calculated using the following formula based on the structural parameters and the electromagnetic parameters. in, θ represents the azimuth angle of the target direction, θ represents the elevation angle of the target direction, n represents the nth slot of the waveguide slot array antenna, and N represents the total number of waveguide ports of the waveguide slot array antenna. Let represent the element radiation pattern of the nth slot in a waveguide slot array antenna, where e represents the base of the natural logarithm, j represents the imaginary unit, and k represents the free-space wavenumber. r n rn represents the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array surface coordinate system, and r0 represents the angle of the target. unit vector, a represents an intermediate variable. θ This represents the unit vector representing the elevation direction of the slots in a waveguide slot array antenna in polar coordinates. This represents the unit vector of the azimuth direction of the slots in a waveguide slot array antenna in polar coordinates.

3. The waveguide slot array antenna electrical performance coupling compensation method according to claim 1, characterized in that, The process of reconstructing the thermally deformable mesh model based on a preset 3D modeling application to obtain a reconstructed entity includes: The thermal deformation mesh model in STL format was reconstructed using Spaceclaim 3D modeling to obtain a solid model of antenna thermal deformation in SAT format. The antenna thermal deformation solid model in the SAT format is used as the reconstructed solid.

4. The waveguide slot array antenna electrical performance coupling compensation method according to claim 2, characterized in that, The step of importing the reconstructed entity as an electromagnetic boundary into a preset electromagnetic field simulation software and extracting the response characteristic matrix of the gap voltage under the electromagnetic boundary includes: S201. Based on the center position vector of the slot relative to the origin of the waveguide slot array antenna, the preset number of discrete points q extracted by the electric field, and the design width of the slot in the waveguide slot array antenna, calculate the discrete coordinates of the points on the center lines of the N*M slots in the waveguide slot array antenna. Among them, F n Let x represent the discrete coordinates of the point on the center line of the nth slot in the waveguide slot array antenna. n The vector representing the center position of the nth slot in the waveguide slot array antenna relative to the origin along the x-axis is y. n The z-axis represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system along the y-axis. n This represents the center position vector of the nth slot in the waveguide slot array antenna relative to the origin of the coordinate system in the z-axis direction; S202. Using the HFSS field calculator, derive the electric field intensity of the discrete coordinates F of the point on the center line of the slot. Perform path integration on the electric field intensity along the center line of the corresponding slot to obtain the active response of the slot voltage on the array surface relative to waveguide port 1; the active response of port 1 is denoted as Z. 1,1 ~Z N*M,1 N represents the total number of waveguide ports in the waveguide slot array antenna, M represents the total number of slots corresponding to each waveguide port in the waveguide slot array antenna, N*M represents the total number of slots in the waveguide slot array antenna, and n is an integer between 1 and N*M. S203. Repeat S202 to perform individual feeding processing on each waveguide port to obtain the response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is the response characteristic matrix Z of the voltage at the center of the array slot relative to the waveguide port. in, Z n,m E represents the value in the nth row and mth column of the response characteristic matrix Z. n,m This represents the electric field value along the center line of the slot n under excitation at the waveguide port m. c represents the center line along the gap n. n Perform path integration.

5. The waveguide slot array antenna electrical performance coupling compensation method according to claim 1, characterized in that, The structural errors include: the length l′ of the gap after heat deformation and the width w′ of the gap after heat deformation; l′=l+Δl; w′=w+Δw; l represents the designed length of the gap, w represents the designed width of the gap, Δl represents the length deformation caused by thermal deformation, and Δw represents the width deformation caused by thermal deformation; the structural error of the nth gap is expressed as: Δr n,1 =(Δx n,1 ,Δy n,1 ,Δz n,1 ); Δr n,2 =(Δx n,2 ,Δy n,2 ,Δz n,2 ); Δl n =Δy n,1 +Δy n,2 ; Δw n =Δx n,1 +Δx n,2 ; Where, Δr n Δr represents the displacement vector at the center of the nth gap. n,1 Δr represents the displacement of the first diagonal point in the nth group of gaps. n,2 Δx represents the displacement of the second diagonal point in the nth group of gaps. n,1 ,Δy n,1 ,Δz n,1 Let Δx represent the displacements of the first diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively. n,2 ,Δy n,2 ,Δz n,2 These represent the displacements of the second diagonal point of gap n along the x-axis, y-axis, and z-axis, respectively.

6. The waveguide slot array antenna electrical performance coupling compensation method according to claim 1, characterized in that, The step of extracting the temperature at each port T / R component mounting location of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature includes: Extract the temperature distribution at the location of each T / R component from the array temperature distribution; Calculate the mean temperature distribution at the location of each T / R component, and use the mean temperature distribution as the average temperature at the installation location of each T / R component.

7. The waveguide slot array antenna electrical performance coupling compensation method according to claim 1, characterized in that, The preset T / R component temperature drift test fitting formula is expressed as follows: Where ΔR represents the temperature drift error, T n ΔA represents the average temperature at the mounting location of the T / R assembly at the nth waveguide port. n (T n ) represents T n The amplitude temperature drift error at the nth waveguide port. T represents n The phase temperature drift error at the nth waveguide port, where j represents the imaginary unit.

8. The waveguide slot array antenna electrical performance coupling compensation method according to claim 2, characterized in that, The preset electromechanical-thermal coupling model is represented as follows: in, V represents the results of the electrical performance coupling analysis. n ′ represents the nth element in the gap voltage excitation matrix V′. This represents the radiation pattern of the nth slot element in a waveguide slot array antenna after thermal deformation. n ′ represents the length of the nth gap after thermal deformation, w n ' represents the width of the nth gap after thermal deformation, Δr n The displacement vector represents the position of the center of the nth gap; V′=Z(P.*ΔR); P=[P1,P2…P N ] T ; P represents the excitation input matrix of the waveguide slot array antenna, * represents matrix multiplication, ΔR represents the temperature drift error, and P N The complex excitation of the Nth waveguide port is represented by T, which includes the amplitude and phase information of the Nth waveguide port excitation.

9. The waveguide slot array antenna electrical performance coupling compensation method according to claim 8, characterized in that, The preset least squares compensation model is expressed as follows: P c =[(WU c WITH) T (WU c WITH)] -1 (WU c WITH) T WU0V0. / ΔR; P c V0 represents the port compensation excitation, V0 represents the slot voltage excitation conforming to the ideal array aperture distribution, and U0 represents the first matrix, which contains the ideal array element pattern and spatial phase. c The second matrix represents the deformed slit element radiation pattern and the spatial phase term with position error; ΔR represents the temperature drift error; Z represents the response characteristic matrix; W represents the weight matrix for radiation pattern approximation at discrete angles; . / represents point division. W=diag[W1,W2,…W q ]; φ n ′ ,m =k(r m +Δr m )·r 0n ; P c =[P c1 ,P c2 …P cN ] T ; f n,m =k(r m ·r 0n ); Where q is the total number of discrete angles, and diag[W1,W2,…W q ] indicates that W1, W2, ... W q W is a diagonal matrix with diagonal elements. q This represents the approximation weight at the q-th discrete angle. This indicates the angle of the N*Mth gap after heat deformation. The array element pattern below, φ′ n,m This represents the displacement vector Δr considering the gap m. m The spatial phase at the nth discrete angular position, r m Δr represents the position vector of the m-th slot center of the waveguide slot array antenna relative to the origin of the array surface coordinate system. m r represents the displacement vector at the center position of the m-th gap. 0n Represents the nth discrete angle The direction vector, P cN For P c The Nth element represents the compensation excitation value for the Nth waveguide port. This indicates that the N*M-th gap is at the nth discrete angle. The ideal array element pattern, φ n,m Let l represent the spatial phase of the gap m at the nth discrete angular position. N·M w N·M The corresponding dimensions represent the design length and width of the N*Mth gap; l′ N·M , w′ N·M The corresponding dimensions represent the length and width of the N*Mth gap after thermal deformation.

10. A waveguide slot array antenna electrical performance coupling compensation device, characterized in that, include: The device includes a processor, a storage medium, and a bus. The storage medium stores machine-readable instructions executable by the processor. When the waveguide slot array antenna electrical performance coupling compensation device is running, the processor communicates with the storage medium via the bus. The processor executes the machine-readable instructions to perform the steps of the waveguide slot array antenna electrical performance coupling compensation method as described in any one of claims 1-9.

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