Waveguide slot array antenna electrical performance coupling compensation method and device
Through finite element thermosolid coupling simulation and electromechanical thermal coupling model, the compensation excitation of the waveguide slot array antenna is calculated, which solves the problem of electrical performance deterioration under the influence of thermal load, realizes effective electrical performance compensation, and improves the analysis effect and compensation effect.
Patent Information
- Application Number
- CN202411108835.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-13
- Publication Date
- 2024-12-10
- Estimated Expiration
- 2044-08-13
AI Technical Summary
The existing antenna error compensation method cannot be directly applied to compensate for the electrical performance loss of waveguide slot array antenna under the influence of thermal load, especially due to the complex coupling relationship between thermal deformation and electromagnetic field, the existing method cannot effectively solve the electrical performance of waveguide slot array antenna. Deteriorate the problem.
By obtaining the structure and electromagnetic parameters of the waveguide gap array antenna, performing finite element thermal solid coupling simulation, building a thermal deformation grid model, extracting structural errors and temperature drift errors, combining electromechanical and thermal coupling models, compensating excitation is calculated to achieve waveguide gaps Electrical performance coupling compensation for array antennas.
The coupling analysis effect of the electrical performance under the influence of the thermal load of the waveguide slot array antenna is improved, the difficulty of electrical performance compensation is reduced, and the compensation of the electrical performance deterioration caused by effective temperature load is achieved, and the effect of electrical performance compensation is improved.
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Figure CN119106580A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of antenna technology, and in particular to a method and device for compensating electrical performance coupling of a waveguide slot array antenna. Background Art
[0002] Waveguide slot array antennas have been widely used in airborne, missile-borne, and satellite-borne radars due to their compact structure, high power capacity, high radiation efficiency, and good environmental adaptability. 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, it is precisely because the radiation of waveguide slot array antennas is closely related to the structure that the radiation characteristics of the slots of waveguide slot array antennas, especially those working in high frequency bands, are very sensitive to slight structural errors. On the other hand, due to the high power capacity of the waveguide slot array antenna itself, its antenna transceiver components will inevitably generate serious heat consumption when working. Secondly, the antenna is usually directly exposed to the environment in the service environment and is affected by the thermal radiation and thermal convection in the environment. The thermal radiation and thermal convection mentioned above will mainly affect the service electrical performance of the waveguide slot array antenna from two aspects, including the thermal deformation of the array and the performance temperature drift of the T\R components.
[0003] In view of the above problems, it is necessary to use certain methods to compensate for the deterioration of the electrical performance of the waveguide slot array antenna caused by the temperature load. Currently, some compensation methods have been seen for general phased array antennas. For example, in the first scheme, "Compensation method for distorted planar array antennas based on structural–electromagnetic coupling and fast Fourier transform," the antenna compensation is calculated by the fast Fourier transform method to compensate for the deterioration of the antenna electrical performance caused by the element position error caused by the environmental thermal load on the satellite-borne phased array. However, this method is applicable to sparse arrays and is not applicable to antenna objects such as waveguide slot array antennas with dense slots and severe mutual coupling. The existing second scheme, "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 the conformal antenna, but the structure and feeding of the conformal antenna are very different from those of the waveguide slot array antenna. The coupling relationship between the thermal deformation and the electromagnetic field of the waveguide slot array antenna is more complicated than that of the conformal antenna. Therefore, the above method is also not applicable to the waveguide slot array antenna object.
[0004] Therefore, existing antenna error compensation methods cannot be directly applied to compensate for the electrical performance loss of waveguide slot array antenna objects under the influence of thermal loads. 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 compensating electrical performance coupling of a waveguide slot array antenna.
[0006] The technical problem to be solved by the present invention is achieved through the following technical solutions:
[0007] In a first aspect, the present invention provides a method for compensating electrical performance coupling of a waveguide slot array antenna, comprising:
[0008] Obtaining structural parameters and electromagnetic parameters of waveguide slot array antenna;
[0009] Determine the ideal voltage excitation of each slot of the waveguide slot array antenna, and calculate the ideal form radiation pattern based on the ideal voltage excitation and combined with the structural parameters and electromagnetic parameters;
[0010] According to the preset thermal conditions and model material parameters, finite element thermal-solid coupling simulation calculation is performed to obtain the array surface temperature distribution and thermal deformation grid model;
[0011] Based on a preset three-dimensional modeling application, the thermally deformed mesh model is solidly reconstructed to obtain a reconstructed entity;
[0012] Import the reconstructed entity into the preset electromagnetic field simulation software as an electromagnetic boundary, and extract the response characteristic matrix of the gap voltage under the electromagnetic boundary;
[0013] The structural error value caused by thermal deformation is extracted in the thermal deformation mesh model based on the preset offset extraction formula to obtain the structural error;
[0014] Extract the temperature of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature;
[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 and phase of each port;
[0016] 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; 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;
[0017] The ideal form radiation pattern and the electrical performance coupling analysis results are brought into the preset least square compensation model to calculate the compensation excitation of the waveguide slot array antenna under the preset thermal conditions;
[0018] The excitation current of the waveguide slot array antenna is compensated based on the compensation excitation.
[0019] Optionally, the 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 in the waveguide slot array antenna relative to the coordinate origin n ; The electromagnetic parameters include: the central operating frequency f of the waveguide slot array antenna, and the antenna operating wavelength λ of the waveguide slot array antenna;
[0020] Determine the ideal voltage excitation of each slot of the waveguide slot array antenna. Based on the ideal voltage excitation and combined with the structural parameters and electromagnetic parameters, calculate the ideal form radiation pattern, including:
[0021] According to 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 the amplitude and phase distribution V 0n , structural parameters and electromagnetic parameters, use the following formula to calculate the ideal form of the radiation pattern
[0023]
[0024] in, 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, N represents the total number of waveguide ports of the waveguide slot array antenna, represents the element radiation pattern of the nth slot in the waveguide slot array antenna, e represents the base of the natural logarithm, j represents the imaginary unit, k represents the free space wave number, r n It represents the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array coordinates, and r0 represents the angle of the target. The unit vector of represents the intermediate variable, a θ represents the pitch direction unit vector of the slot in the waveguide slot array antenna in polar coordinates, Represents the unit vector of the azimuth direction of the slot in the waveguide slot array antenna in polar coordinates.
[0025] Optionally, based on a preset three-dimensional modeling application, the thermally deformed mesh model is solidly reconstructed to obtain a reconstructed entity, including:
[0026] Through 3D modeling, Spaceclaim is used to reconstruct the thermal deformation mesh model in stl format to obtain the antenna thermal deformation solid model in sat format.
[0027] The antenna thermal deformation solid model in sat format is used as the reconstructed entity.
[0028] Optionally, the reconstructed entity is imported into a preset electromagnetic field simulation software as an electromagnetic boundary to extract a response characteristic matrix of the gap voltage under the electromagnetic boundary, including:
[0029] S201, calculating the discrete coordinates F of points on the center line of N*M slots in the waveguide slot array antenna according to the center position vector of the slots in the waveguide slot array antenna relative to the coordinate origin, the preset discrete point number q for electric field extraction, and the designed width of the 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 nrepresents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the x-axis direction, y n 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 y-axis direction, z n Represents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the z-axis direction;
[0033] S202, deriving the electric field strength of the discrete coordinates F of the point on the center line of the gap through the HFSS field calculator, and calculating the electric field strength along the center line c of the corresponding gap. n Path integration is performed to obtain the active response of the slot voltage on the array 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 of 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 of the waveguide slot array antenna; the value range of n is an integer between 1 and N*M;
[0034] S203, repeating the feeding process for each waveguide port individually according to S202, to obtain a response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is a 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 represents the value of the nth row and mth column in the response characteristic matrix Z, E n,m represents the electric field value on the center line of slot n under the excitation of waveguide port m, represents the center line c along the gap n n Perform path integration.
[0037] Optionally, the structural error includes: a length l′ of the gap after thermal deformation, a width w′ of the gap after thermal 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 =(Δxn,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] Among them, Δr n Represents the displacement vector of the center position of the nth gap, Δr n,1 represents the displacement of the first diagonal point in the nth group of diagonal points of the gap, Δr n,2 represents the displacement of the second diagonal point in the nth group of diagonal points of the gap, Δx n,1 ,Δy n,1 ,Δz n,1 represents the displacement of the first diagonal point of gap n in the x-axis, y-axis and z-axis directions, Δx n,2 ,Δy n,2 ,Δz n,2 They represent the displacement of the second diagonal point of gap n in the x-axis, y-axis and z-axis directions respectively.
[0047] Optionally, extracting the temperature of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature includes:
[0048] Extract the temperature distribution of each T\R component in the array temperature distribution;
[0049] The mean of the temperature distribution at the location of each T\R component is calculated, and the mean of the temperature distribution is used 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 represents the average temperature of the T\R component installation location of the nth waveguide port, ΔA n (T n ) indicates T n The amplitude temperature drift error of the nth waveguide port is Indicates T n The phase temperature drift error of the nth waveguide port is given by j, where j represents the imaginary unit.
[0053] Optionally, the preset electromechanical thermal coupling model is expressed as:
[0054]
[0055] in, Represents the results of electrical performance coupling analysis, V′ n represents the nth element in the gap voltage excitation matrix V′, represents the element radiation pattern of the nth slot in the waveguide slot array antenna after thermal deformation, l′ n represents the length of the nth gap after thermal deformation, w′ n Indicates the width of the nth gap after thermal deformation, Δr n The displacement vector representing the center position 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 the matrix dot product, ΔR represents the temperature drift error, P N represents the complex excitation of the Nth waveguide port, the complex excitation contains the amplitude and phase information of the excitation of the Nth waveguide port, and 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 represents the port compensation excitation, V0 represents the slot voltage excitation that conforms to the ideal array surface distribution, U0 represents the first matrix, which contains the ideal array element pattern and spatial phase, U c represents the second matrix, which includes the deformed slot array element 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 of the pattern approximation under discrete angles; . / represents the dot division processing;
[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 angle discretes, diag[W1,W2,…W q ] indicates that W1, W2, …W q is a diagonal matrix with diagonal elements, W q represents the approximation weight at the qth discrete angle, Indicates the angle of the N*Mth gap after thermal deformation The array element pattern under n,m Denotes the displacement vector Δr considering the gap m m The spatial phase at the nth discrete angle position, r m It represents the position vector of the center of the mth slot of the waveguide slot array antenna relative to the origin of the array coordinates, Δr m represents the displacement vector of the center position of the mth gap, r 0n Indicates the nth discrete angle The direction vector, P cN P c The Nth element in represents the compensation excitation value of the Nth waveguide port. Indicates that the N*Mth gap is at the nth discrete angle The ideal array element pattern under n,m represents the spatial phase of the slot m at the nth discrete angle position, l N·M , w N·M Corresponding to the design length and width of the N*Mth gap; l' N·M , w′ N·MCorrespondingly represents 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, the storage medium storing machine-readable instructions executable by the processor, when the waveguide slot array antenna electrical performance coupling compensation device is running, the processor and the storage medium communicate through 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 as described in the first aspect above.
[0071] The present invention provides a method and device for compensating the coupling of electrical properties of waveguide slot array antennas. Among them, the method for compensating the coupling of electrical properties of waveguide slot array antennas includes: obtaining the structural parameters and electromagnetic parameters of the waveguide slot array antenna; determining the ideal voltage excitation of each slot of the waveguide slot array antenna, and calculating the ideal form of the radiation pattern based on the ideal voltage excitation and in combination with the structural parameters and electromagnetic parameters; performing finite element thermal-solid coupling simulation calculations according to preset thermal conditions and model material parameters to obtain the array surface temperature distribution and thermal deformation grid model; performing entity reconstruction on the thermal deformation grid model based on a preset three-dimensional modeling application to obtain a reconstructed entity; importing the reconstructed entity as an electromagnetic boundary into the preset electromagnetic field simulation software to extract the response characteristic matrix of the slot voltage under the electromagnetic boundary; extracting the structural error value formed by thermal deformation in the thermal deformation grid model based on a preset offset extraction formula to obtain the structure. structural error; extract the temperature of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature; 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 and phase of each port; substitute the response characteristic matrix, structural error and temperature drift error 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; bring the ideal form radiation pattern and the electrical performance coupling analysis results into the preset least squares compensation model to calculate the compensated excitation of the waveguide slot array antenna under the preset thermal condition; compensate the excitation current of the waveguide slot array antenna based on the compensated excitation. In the present invention, by considering the structural error caused by thermal deformation of the thermal deformation grid model and calculating the temperature drift error of the excitation amplitude and phase of each port, a preset electromechanical thermal coupling model is constructed in combination with the coupling mechanism between the temperature field-structural field-electromagnetic field of the waveguide slot array antenna, and the response characteristic matrix, structural error, temperature drift error and the preset electromechanical thermal coupling model are used to obtain the electrical performance coupling analysis result, thereby improving the electrical performance coupling analysis effect of the waveguide slot array antenna under the influence of thermal load; in addition, based on the compensation idea of ideal radiation pattern approximation, the compensation excitation of the waveguide slot array antenna is adjusted by a preset least squares compensation model, thereby achieving compensation for the electrical performance deterioration problem of the waveguide slot array antenna caused by temperature load in a simple and feasible way, reducing the difficulty of electrical performance compensation of 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. BRIEF DESCRIPTION OF THE DRAWINGS
[0073] Figure 1 A schematic flow chart of a method for compensating for coupling of electrical properties of a waveguide slot array antenna provided by an embodiment of the present invention;
[0074] Figure 2A schematic diagram of a structural model of a waveguide slot array antenna provided in an embodiment of the present invention;
[0075] Figure 3 An amplitude and phase distribution diagram corresponding to an ideal voltage excitation of a given array provided by an embodiment of the present invention;
[0076] Figure 4 A schematic diagram of an ideal directional diagram provided by an embodiment of the present invention;
[0077] Figure 5 A schematic diagram of simulated heat generation power at the back of a waveguide slot array antenna provided in an embodiment of the present invention;
[0078] Figure 6 A schematic diagram of the temperature distribution of the array surface provided by an embodiment of the present invention;
[0079] Figure 7 A schematic diagram of a thermal deformation grid model provided by an embodiment of the present invention;
[0080] Figure 8 A schematic diagram of a reconstructed entity structure provided by an embodiment of the present invention;
[0081] Fig. 9 A schematic diagram of a response characteristic matrix provided by an embodiment of the present invention;
[0082] Fig.10 A schematic diagram of the position offset result of the diagonal points of the gap provided in an embodiment of the present invention;
[0083] Fig.11 A schematic diagram of the displacement of the diagonal points of a gap provided by an embodiment of the present invention;
[0084] Fig.12 A schematic diagram of average temperature distribution provided by an embodiment of the present invention;
[0085] Fig.13 Comparison results of the E-plane radiation patterns of the waveguide slot array antenna before and after compensation provided by the embodiment of the present invention;
[0086] Fig.14 Comparison results of H-plane radiation patterns of the waveguide slot array antenna before and after compensation provided by the embodiment of the present invention;
[0087] Fig.15 A schematic structural diagram of an electrical performance coupling compensation device for a waveguide slot array antenna provided in an embodiment of the present invention. DETAILED DESCRIPTION
[0088] 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.
[0089] In order to reduce the difficulty of compensating the electrical performance of a waveguide slot array antenna and improve the effect of the electrical performance compensation, an embodiment of the present invention provides a method for compensating the electrical performance coupling of a waveguide slot array antenna. Figure 1 A schematic diagram of a flow chart of a method for compensating the electrical performance coupling of a waveguide slot array antenna provided by an embodiment of the present invention. Figure 1 As shown, including:
[0090] S101. Obtain structural parameters and electromagnetic parameters of a waveguide slot array antenna.
[0091] Optionally, the 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 in the waveguide slot array antenna relative to the coordinate origin n ; The electromagnetic parameters include: the central operating frequency f of the waveguide slot array antenna and the antenna operating wavelength λ of the waveguide slot array antenna.
[0092] S102, determining an ideal voltage excitation for each slot of the waveguide slot array antenna, and calculating an ideal form radiation pattern based on the ideal voltage excitation and in combination with structural parameters and electromagnetic parameters.
[0093] Optionally, S102 may specifically include:
[0094] According to 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 the amplitude and phase distribution V 0n , structural parameters and electromagnetic parameters, use the following formula to calculate the ideal form of the radiation pattern
[0096]
[0097] in, 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, N represents the total number of waveguide ports of the waveguide slot array antenna, represents the element radiation pattern of the nth slot in the waveguide slot array antenna, e represents the base of the natural logarithm, j represents the imaginary unit, k represents the free space wave number, r n It represents the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array coordinates, and r0 represents the angle of the target. The unit vector of represents the intermediate variable, a θrepresents the pitch direction unit vector of the slot in the waveguide slot array antenna in polar coordinates, Represents the unit vector of the azimuth direction of the slot in the waveguide slot array antenna in polar coordinates.
[0098] In the embodiment of the present invention, r n =(x n ,y n ,z n ), where x n ,y n ,z n They respectively represent the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array coordinate on the x-axis, y-axis, and z-axis.
[0099] Figure 2 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 working frequency of 9.375 GHZ and a wide-side longitudinal slot configuration with a slot specification of 10*10, wherein the offset and length of the slot are designed according to the Taylor distribution with a sidelobe level of -30 dB and an equal sidelobe number of 6.
[0100] Figure 3 The amplitude and phase distribution diagram corresponding to the ideal voltage excitation of a given array provided in an embodiment of the present invention. Figure 4 A schematic diagram of an ideal directional diagram provided by an embodiment of the present invention.
[0101] S103, performing finite element thermal-solid coupling simulation calculation according to preset thermal conditions and model material parameters to obtain a grid model of array surface temperature distribution and thermal deformation.
[0102] In the embodiment of the present invention, for exemplary description, the antenna material is given as 3A21 aluminum alloy, and its material parameters are as follows:
[0103] Table 1 3A21 aluminum alloy material parameters
[0104]
[0105] The temperature distribution of the waveguide slot array antenna under 120℃ high temperature heat soaking condition was simulated in Ansys software. Figure 5 This is a schematic diagram of the simulated heat generation power of 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 component is simulated. Under given antenna material parameters and antenna thermal conditions, the waveguide slot array antenna is simulated by finite element thermal-solid coupling through Ansys to obtain the temperature distribution and thermal deformation results of the antenna. Figure 6 A schematic diagram of the temperature distribution of the array surface provided in an embodiment of the present invention. Figure 7Schematic diagram of the thermal deformation grid model provided by the embodiment of the present invention. The results show that under the simulated thermal load, the maximum temperature of the antenna array surface reaches 139.98°C and the maximum thermal deformation reaches 0.19mm.
[0106] S104, based on a preset three-dimensional modeling application, the thermally deformed mesh model is solidly reconstructed to obtain a reconstructed entity.
[0107] It should be noted that, in the embodiment of the present invention, the preset 3D modeling application may specifically be Spaceclaim.
[0108] Optionally, S104 may specifically include:
[0109] Through 3D modeling, Spaceclaim is used to reconstruct the thermal deformation mesh model in stl format to obtain the antenna thermal deformation solid model in sat format.
[0110] The antenna thermal deformation solid model in sat format is used as the reconstructed entity.
[0111] Figure 8 A schematic diagram of a reconstruction entity structure provided by an embodiment of the present invention.
[0112] S105, 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.
[0113] Fig. 9 A schematic diagram of a response characteristic matrix provided by an embodiment of the present invention, wherein Fig. 9 Figure (a) is a schematic diagram of the amplitude distribution of the response characteristic matrix, where Fig. 9 Figure (b) is a schematic diagram of the phase distribution of the response characteristic matrix.
[0114] In an embodiment of the present invention, the preset electromagnetic field simulation software may be HFSS.
[0115] Optionally, S105 may specifically include:
[0116] S201, calculating the discrete coordinates F of points on the center line of N*M slots in the waveguide slot array antenna according to the center position vector of the slots in the waveguide slot array antenna relative to the coordinate origin, the preset discrete point number q for electric field extraction, and the designed width of the 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 nrepresents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the x-axis direction, y n 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 y-axis direction, z n Represents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the z-axis direction;
[0120] S202, deriving the electric field strength of the discrete coordinates F of the point on the center line of the gap through the HFSS field calculator, and calculating the electric field strength along the center line c of the corresponding gap. n Path integration is performed to obtain the active response of the slot voltage on the array 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 of 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 of the waveguide slot array antenna; the value range of n is an integer between 1 and N*M;
[0121] S203, repeating the feeding process for each waveguide port individually according to S202, to obtain a response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is a 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 represents the value of the nth row and mth column in the response characteristic matrix Z, E n,m represents the electric field value on the center line of slot n under the excitation of waveguide port m, represents the center line c along the gap n n Perform path integration.
[0124] Fig.10 A schematic diagram of the position offset results of the diagonal points of the gap provided in an embodiment of the present invention. Fig.11 A schematic diagram of the displacement of diagonal points of a gap provided in an embodiment of the present invention.
[0125] S106. Extracting a structural error value caused by thermal deformation in the thermal deformation mesh model based on a preset offset extraction formula to obtain a structural error.
[0126] Optionally, the structural error includes: a length l′ of the gap after thermal deformation, a width w′ of the gap after thermal 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] Among them, Δr n Represents the displacement vector of the center position of the nth gap, Δr n,1 represents the displacement of the first diagonal point in the nth group of diagonal points of the gap, Δr n,2 represents the displacement of the second diagonal point in the nth group of diagonal points of the gap, Δx n,1 ,Δy n,1 ,Δz n,1 represents the displacement of the first diagonal point of gap n in the x-axis, y-axis and z-axis directions, Δx n,2 ,Δy n,2 ,Δz n,2 They represent the displacement of the second diagonal point of gap n in the x-axis, y-axis and z-axis directions respectively.
[0136] S107, extracting the temperature of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain an average temperature.
[0137] Fig.12 A schematic diagram of average temperature distribution provided by an embodiment of the present invention.
[0138] Optionally, S107 may specifically include:
[0139] Extract the temperature distribution of each T\R component in the array temperature distribution;
[0140] The mean of the temperature distribution at the location of each T\R component is calculated, and the mean of the temperature distribution is used as the average temperature at the installation location of each T\R component.
[0141] S108, substituting the average temperature into the preset T\R component temperature drift test fitting formula, and calculating the temperature drift error of the excitation amplitude and phase of 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 represents the average temperature of the T\R component installation location of the nth waveguide port, ΔA n (T n ) indicates T n The amplitude temperature drift error of the nth waveguide port is Indicates T n The phase temperature drift error of the nth waveguide port is given by j, where j represents the imaginary unit.
[0145] S109, substituting the response characteristic matrix, structural error, and temperature drift error into a preset electromechanical thermal coupling model to perform electrical performance analysis and obtain electrical performance coupling analysis results.
[0146] Optionally, the preset electromechanical thermal coupling model is expressed as:
[0147]
[0148] in, Represents the results of electrical performance coupling analysis, V′ n represents the nth element in the gap voltage excitation matrix V′, represents the element radiation pattern of the nth slot in the waveguide slot array antenna after thermal deformation, l′ n represents the length of the nth gap after thermal deformation, w′ n Indicates the width of the nth gap after thermal deformation, Δr n The displacement vector representing the center position 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 the matrix dot product, ΔR represents the temperature drift error, P Nrepresents the complex excitation of the Nth waveguide port, the complex excitation contains the amplitude and phase information of the excitation of the Nth waveguide port, and T represents the transpose of the matrix.
[0152] 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.
[0153] S110, bringing the ideal form radiation pattern and the electrical performance coupling analysis results into a preset least squares compensation model, and calculating the compensation excitation of the waveguide slot array antenna under the preset thermal condition.
[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 represents the port compensation excitation, V0 represents the slot voltage excitation that conforms to the ideal array surface distribution, U0 represents the first matrix, which contains the ideal array element pattern and spatial phase, U c represents the second matrix, which includes the deformed slot array element 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 of the pattern approximation under discrete angles; . / represents the dot division processing;
[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 angle discretes, diag[W1,W2,…W q ] indicates that W1, W2, …W q is a diagonal matrix with diagonal elements, W q represents the approximation weight at the qth discrete angle, Indicates the angle of the N*Mth gap after thermal deformation The array element pattern under n,m Denotes the displacement vector Δr considering the gap m m The spatial phase at the nth discrete angle position, r m It represents the position vector of the center of the mth slot of the waveguide slot array antenna relative to the origin of the array coordinates, Δr m represents the displacement vector of the center position of the mth gap, r 0n Indicates the nth discrete angle The direction vector, P cN P c The Nth element in represents the compensation excitation value of the Nth waveguide port. Indicates that the N*Mth gap is at the nth discrete angle The ideal array element pattern under n,m represents the spatial phase of the slot m at the nth discrete angle position, l N·M , w N·M Corresponding to the design length and width of the N*Mth gap; l' N·M , w′ N·M Correspondingly represents the length and width of the N*Mth gap after thermal deformation.
[0165] S111. Compensate the excitation current of the waveguide slot array antenna based on compensation excitation.
[0166] An embodiment of the present invention provides a method for compensating the electrical performance coupling of a waveguide slot array antenna, comprising: considering the structural error caused by thermal deformation of a thermal deformation grid model, calculating the temperature drift error of the excitation amplitude and phase of each port, building a preset electromechanical thermal coupling model in combination with the coupling mechanism between the temperature field, the structural field and the electromagnetic field of the waveguide slot array antenna, and using a response characteristic matrix, a structural error, a temperature drift error and a preset electromechanical thermal coupling model to jointly obtain an electrical performance coupling analysis result, thereby improving the electrical performance coupling analysis effect of the waveguide slot array antenna under the influence of thermal load; in addition, based on the compensation idea of ideal directional pattern approximation, the compensating excitation of the waveguide slot array antenna is adjusted by a preset least squares compensation model, thereby achieving compensation for the electrical performance deterioration problem of the waveguide slot array antenna caused by the temperature load in a simple and feasible way, reducing the difficulty of electrical performance compensation of the waveguide slot array antenna, and improving the effect of electrical performance compensation.
[0167] In the embodiment of the present invention, the goal is to approximate the E-plane directional pattern of the antenna directional pattern, and a total of 18001 points are discretized for the E-plane elevation angle, wherein the weight matrix W is specifically set as follows:
[0168]
[0169] Wherein diag[ones(1,N)] represents a unit diagonal matrix of N*N size. Further, the preset least squares compensation model P provided in the above embodiment c Calculate the port compensation excitation, the results are shown in Table 1:
[0170] Table 2. Least squares compensation incentive P c Amplitude
[0171]
[0172] It can be seen from Table 2 that the excitation current compensation amount of the waveguide slot array antenna port under the influence of thermal load is finally obtained, and the least square compensation of the waveguide slot array antenna under discrete angles is realized.
[0173] In order to demonstrate the performance of the method of the present invention, Fig.13 The E-plane radiation pattern comparison results of the waveguide slot array antenna before and after compensation provided by the embodiment of the present invention are as follows: Fig.14 Comparison results of the H-plane radiation patterns of the waveguide slot array antenna before and after compensation provided by the embodiments of the present invention.
[0174] based on Fig.13 and Fig.14 The E-plane and H-plane directional patterns of the waveguide slot array antenna before and after compensation, and the results of the electrical performance analysis are shown in Table 3.
[0175] Table 3 Electrical performance analysis results of 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 on E plane (dB) -28.58 -26.57 -29.70 E-plane half-power beamwidth (°) 8.50 8.53 8.44 Maximum sidelobe level of H plane (dB) -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 under the influence of temperature error, the gain of the waveguide slot array antenna decreases by about 0.37 dB, the E-plane sidelobe increases by 2.01 dB, and the H-plane sidelobe increases by 0.93 dB. After compensation using the compensation method proposed in the present 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 substantially changing the half-power beamwidth of the E-plane, suppresses the maximum sidelobe level of the E-plane by 3.13 dB and the maximum sidelobe level of the H-plane by 0.04 dB, and realizes the compensation of 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 the present invention are as follows:
[0179] (1) The method of the present invention takes into account the thermal deformation of the waveguide slot array antenna caused by temperature load and the temperature drift of the T\R component performance, and establishes an electromechanical thermal coupling analysis and calculation model of 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 electrical performance coupling analysis effect of the waveguide slot array antenna under the influence of thermal load.
[0180] (2) Based on the feeding characteristics of the waveguide slot array antenna and the compensation concept of approximating the ideal radiation pattern, the present invention derives a compensation calculation model of the waveguide slot array antenna through the least squares method. By adjusting the wave control excitation of the antenna, the deterioration of the electrical performance of the waveguide slot array antenna caused by the temperature load can be compensated in a simple and feasible way, thereby reducing the difficulty of compensating the electrical performance of the waveguide slot array antenna and improving the electrical performance compensation effect.
[0181] The method provided in the embodiment of the present invention can be applied to an electronic device. Specifically, the electronic device can be: a desktop computer, a portable computer, an intelligent mobile terminal, a server, etc., which is not limited in the embodiment of the present invention.
[0182] Based on the same inventive concept, an embodiment of the present invention further provides a waveguide slot array antenna electrical performance coupling compensation device. Fig.15The structural diagram of the waveguide slot array antenna electrical performance coupling compensation device provided by the 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 through the bus 730, and the processor 710 executes the machine-readable instructions to execute the steps of the above method embodiment. The specific implementation method and technical effect are similar and will not be repeated here.
[0183] The storage medium may include a random access memory (RAM) or a non-volatile memory (NVM), such as at least one disk storage. Optionally, the storage medium may also be at least one storage device located away from the aforementioned processor.
[0184] The above-mentioned processor can be a general-purpose processor, including a central processing unit (CPU), a network processor (NP), etc.; it can also be a digital signal processor (DSP), an application specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, 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 the data used in this way can be interchangeable where appropriate, so that the embodiments of the present invention described herein can be implemented in an order 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. Instead, they are merely examples of devices and methods consistent with some aspects of the present invention.
[0186] 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 representations 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 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.
[0187] Although the present invention is described herein in conjunction with various embodiments, in the process of implementing the claimed invention, those skilled in the art can understand and implement other changes of the above disclosed embodiments by viewing the drawings and the disclosed content. In the description of the present invention, the term "comprising" does not exclude other components or steps, "one" or "an" does not exclude multiple situations, and the meaning of "multiple" is two or more, unless otherwise clearly and specifically limited. In addition, certain measures are recorded in different embodiments, but this does not mean that these measures cannot be combined to produce good results.
[0188] 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 scope of protection of the present invention.
Claims
1. A method for compensating electrical performance coupling of a waveguide slot array antenna, characterized in that: include: Obtaining structural parameters and electromagnetic parameters of the waveguide slot array antenna; Determine an ideal voltage excitation for each slot of the waveguide slot array antenna, and calculate an ideal form radiation pattern based on the ideal voltage excitation and in combination with the structural parameters and the electromagnetic parameters; According to the preset thermal conditions and model material parameters, finite element thermal-solid coupling simulation calculation is performed to obtain the array surface temperature distribution and thermal deformation grid model; Based on a preset three-dimensional modeling application, the thermal deformation mesh model is physically reconstructed to obtain a reconstructed entity; Importing the reconstructed entity as an electromagnetic boundary into a preset electromagnetic field simulation software, and extracting a response characteristic matrix of the gap voltage under the electromagnetic boundary; Extracting a structural error value caused by thermal deformation in the thermal deformation mesh model based on a preset offset extraction formula to obtain a structural error; Extract the temperature of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature; Substituting the average temperature into the preset T\R component temperature drift test fitting formula, the temperature drift error of the excitation amplitude and phase of each port is calculated; Substituting the response characteristic matrix, the structural error, and the temperature drift error into a preset electromechanical thermal coupling model to perform electrical performance analysis to obtain an electrical performance coupling analysis result; The preset electromechanical thermal coupling model is constructed based on the coupling mechanism between the temperature field, the structural field and the electromagnetic field of the waveguide slot array antenna; Substituting the ideal form directional pattern and the electrical performance coupling analysis result into a preset least squares compensation model, and calculating the compensation excitation of the waveguide slot array antenna under the preset thermal condition; 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 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 in the waveguide slot array antenna relative to the coordinate origin n ; The electromagnetic parameters include: the central operating frequency f of the waveguide slot array antenna, the antenna operating wavelength λ of the waveguide slot array antenna; The step of determining an ideal voltage excitation for each slot of the waveguide slot array antenna, and calculating an ideal form radiation pattern based on the ideal voltage excitation and in combination with the structural parameters and the electromagnetic parameters, comprises: According to 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 in the ideal state is determined. 0n ; Based on the amplitude and phase distribution V 0n , the structural parameters and the electromagnetic parameters, and the ideal form pattern is calculated using the following formula in, 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, N represents the total number of waveguide ports of the waveguide slot array antenna, represents the element radiation pattern of the nth slot in the waveguide slot array antenna, e represents the base of the natural logarithm, j represents the imaginary unit, k represents the free space wave number, r n It represents the position vector of the center of the nth slot of the waveguide slot array antenna relative to the origin of the array coordinates, and r0 represents the angle of the target. The unit vector of represents the intermediate variable, a θ represents the pitch direction unit vector of the slot in the waveguide slot array antenna in polar coordinates, Represents the unit vector of the azimuth direction of the slot in the 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 step of performing entity reconstruction on the thermal deformation mesh model based on a preset three-dimensional modeling application to obtain a reconstructed entity includes: Using Spaceclaim to perform entity reconstruction on the thermal deformation mesh model in stl format through 3D modeling to obtain a thermal deformation entity model of the antenna in sat format; The antenna thermal deformation entity model in the sat format is used as the reconstructed entity.
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 a response characteristic matrix of the gap voltage under the electromagnetic boundary comprises: S201, calculating the discrete coordinates of points on the center line of N*M slots in the waveguide slot array antenna according to the center position vector of the slots in the waveguide slot array antenna relative to the coordinate origin, the preset discrete point number q for electric field extraction, and the designed width of the slots in the waveguide slot array antenna; Among them, F n represents the discrete coordinates of the point on the center line of the nth slot in the waveguide slot array antenna, x n represents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the x-axis direction, y n represents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the y-axis direction, z n Represents the center position vector of the nth slot in the waveguide slot array antenna relative to the coordinate origin in the z-axis direction; S202, deriving the electric field strength of the discrete coordinate F of the point on the center line of the slot by using the HFSS field calculator, performing path integration processing on the electric field strength along the center line of the corresponding slot, and obtaining the active response of the slot voltage on the array surface relative to the waveguide port 1; the active response of the port 1 is recorded as Z 1,1 ~Z N*M,1 ; N represents the total number of waveguide ports of 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 of the waveguide slot array antenna; the value range of n is an integer between 1 and N*M; S203, repeating the individual feeding process for each waveguide port according to S202, to obtain a response characteristic matrix of the slot voltage under the electromagnetic boundary; the response characteristic matrix of the slot voltage under the electromagnetic boundary is a response characteristic matrix Z of the voltage at the center of the array slot relative to the waveguide port; in, Z n,m represents the value of the nth row and mth column in the response characteristic matrix Z, E n,m represents the electric field value on the center line of slot n under the excitation of waveguide port m, represents the center line c 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 error includes: the length l' of the gap after thermal deformation, the width w' of the gap after thermal 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 ; Among them, Δr n Represents the displacement vector of the center position of the nth gap, Δr n,1 represents the displacement of the first diagonal point in the nth group of diagonal points of the gap, Δr n,2 represents the displacement of the second diagonal point in the nth group of diagonal points of the gap, Δx n,1 ,Δy n,1 ,Δz n,1 represents the displacement of the first diagonal point of gap n in the x-axis, y-axis and z-axis directions, Δx n,2 ,Δy n,2 ,Δz n,2 They represent the displacement of the second diagonal point of gap n in the x-axis, y-axis and z-axis directions 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 of the T\R component installation position of each port of the waveguide slot array antenna from the array surface temperature distribution to obtain the average temperature includes: Extract the temperature distribution of each T\R component in the array temperature distribution; The mean value of the temperature distribution at the location of each T\R component is calculated, and the mean value of the temperature distribution is used 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: Where ΔR represents the temperature drift error, T n represents the average temperature of the T\R component installation location of the nth waveguide port, ΔA n (T n ) indicates T n The amplitude temperature drift error of the nth waveguide port is Indicates T n The phase temperature drift error of the nth waveguide port is given by j, 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 expressed as: in, Represents the results of electrical performance coupling analysis, V n ' represents the nth element in the gap voltage excitation matrix V', represents the element radiation pattern of the nth slot in the waveguide slot array antenna after thermal deformation, l 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 representing the center position 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 the matrix dot product, ΔR represents the temperature drift error, P N represents the complex excitation of the Nth waveguide port, wherein the complex excitation includes the amplitude and phase information of the excitation of the Nth waveguide port, and T represents the transpose of the matrix.
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: P c =[(WU c WITH) T (WU c WITH)] -1 (WU c WITH) T WU0V0. / ΔR; P c represents port compensation excitation, V0 represents the slot voltage excitation that conforms to the ideal array surface distribution, U0 represents the first matrix, which includes the ideal array element pattern and spatial phase, U c represents a second matrix, which includes a deformed slot array element pattern and a spatial phase term with a position error, ΔR represents a temperature drift error, Z represents a response characteristic matrix, and W represents a weight matrix of the pattern approximation under discrete angles; . / represents a dot division process; 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 angle discretes, diag[W1,W2,…W q ] indicates that W1, W2, …W q is a diagonal matrix with diagonal elements, W q represents the approximation weight at the qth discrete angle, Indicates the angle of the N*Mth gap after thermal deformation The array element pattern under n,m Denotes the displacement vector Δr considering the gap m m The spatial phase at the nth discrete angle position, r m It represents the position vector of the center of the mth slot of the waveguide slot array antenna relative to the origin of the array coordinates, Δr m represents the displacement vector of the center position of the mth gap, r 0n Indicates the nth discrete angle The direction vector, P cN P c The Nth element in represents the compensation excitation value of the Nth waveguide port. Indicates that the N*Mth gap is at the nth discrete angle The ideal array element pattern under n,m represents the spatial phase of the slot m at the nth discrete angle position, l N·M , w N·M Corresponding to the design length and width of the N*Mth gap; l' N·M , w′ N·M Correspondingly represents 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: 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 through 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 as described in any one of claims 1 to 9.
Citation Information
Patent Citations
Method for compensating electrical property of deformable array antenna based on electromechanical coupling and least square method
CN104701637A
Gain-and-direction-orientated structure thermal deformation compensation method for satellite-borne active phase control array antenna
CN105742817A
Deformation array antenna far-field pattern compensation method considering cross coupling effect
CN107038299A
Phased array antenna amplitude and phase compensation method based on strain measurement
CN109472059A
Method and device for measuring radiation pattern of antenna array, and computer readable storage medium
US20190158198A1
