Rapid optimization design method and system for phased array antennas based on electromechanical and thermal performance

Abstract

This invention provides a method and system for rapid electromechanical and thermal performance optimization of phased array antennas, relating to the field of digital design technology. This invention establishes an electromechanical and thermal coupling model between phased array antenna element position errors and electrical performance. Based on this model, an antenna optimization model for electromechanical and thermal performance is established. A rapid solution strategy is also provided to avoid design defects and achieve rapid electromechanical and thermal optimization of phased array antennas, thereby ensuring and improving the overall performance of phased array antennas.

Claims

1. A rapid optimization design method for phased array antennas oriented towards electromechanical thermal performance, characterized by: Including: S1. Determine the structural model of the phased array antenna according to its structural composition; S2. Conduct a sensitivity analysis on the antenna design parameters based on the structural model of the antenna; S3. Determine the design variables of the phased array antenna according to the sensitivity analysis results; S4. Based on the design variables, optimization objectives, and constraint conditions of the phased array antenna, establish a comprehensive optimization model for the electro-mechanical-thermal performance of the antenna, solve the comprehensive optimization model for the electro-mechanical-thermal performance of the antenna, and obtain the structural parameters and material parameters of the phased array antenna; S5. Establish a finite element model of the antenna structure according to the antenna structural model, add the structural parameters and material parameters of the phased array antenna to the finite element model of the antenna structure, conduct heat dissipation analysis and random vibration analysis respectively, and obtain the structural thermal deformation data and the structural deformation data under the influence of random vibration; S6. Construct a temperature / design variable-thermal deformation surrogate model based on the structural thermal deformation data and design variables; Construct a design variable-vibration deformation surrogate model based on the structural deformation data and design variables; S7. Determine the vibration data and temperature data of the usage environment of the phased array antenna, substitute them into the design variable-vibration deformation surrogate model and the temperature / design variable-thermal deformation surrogate model, and obtain the thermal displacement data and vibration displacement data; Substitute the thermal displacement data and vibration displacement data into the structure-electromagnetic coupling model to calculate the electrical performance of the phased array antenna; S8. Judge whether the electrical performance meets the requirements; if so, obtain the optimal design parameters of the phased array antenna; otherwise, return to step S3, modify the design variables of the phased array antenna, and repeat S3 to S8 until the electrical performance meets the requirements.

2. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to claim 1, characterized in that: The sensitivity analysis of the antenna design parameters based on the structural model of the antenna includes: a. Calculate the electro-mechanical-thermal performance of the phased array antenna under different component structural parameters of the structural model; b. Establish an orthogonal experimental table of design factors between the design parameters and the electro-mechanical-thermal performance of the antenna; c. Calculate the sensitivity of different design parameters to the electro-mechanical-thermal performance according to the established orthogonal experimental table.

3. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to claim 1, characterized in that: The establishment of a comprehensive optimization model for the electro-mechanical-thermal performance of the antenna based on the design variables, optimization objectives, and constraint conditions of the phased array antenna specifically includes: Determine the optimization objectives: Maximize the antenna gain of the phased array antenna and minimize the weight optimization objective of the phased array antenna, and introduce two important weight coefficients a1 and a2 to balance the importance of each objective, where 0 < a1 < 1, 0 < a2 < 1, and 0 < a1 + a2 < 1; Set the constraint conditions: ① Limit the temperature of the antenna array surface not to exceed the maximum allowable temperature of the array surface; ② Limit the surface temperature not to exceed the maximum allowable temperature difference of the array surface; ③ Limit the change value of the highest sidelobe level not to exceed the allowable change value of the highest sidelobe level; ④ The actual stress value of the array surface does not exceed the allowable stress value The expression of the comprehensive optimization model for the electro-mechanical-thermal performance of the antenna is as follows: Find β,v S.T.ΔSLL max (β,v)≤ΔSLL0 σ(β,v)≤[σ] ΔT(β,v)≤ΔT max b imin ≤β i ≤β imax ,i=1,2,…,n Among them, β is the structural parameter of the phased array antenna, v is the material parameter of the phased array antenna, G(β,v) is the antenna gain, G 0 is the optimal value when optimizing the gain for a single objective, W(β,v) is the antenna weight, and W 0 is the optimal value when single-objective optimization is performed on weight, ΔSLL max (β, v) is the change value of the highest sidelobe level, ΔSLL0 is the allowable change value of the highest sidelobe level, σ(β, v) is the actual stress value of the array, [σ] is the allowable stress value, T max (β,v) is the maximum temperature of the front surface, The maximum allowable temperature of the front surface, ΔT(β,v) is the temperature difference of the front surface, ΔT max is the maximum temperature difference allowed on the array surface, β imin , β imax The lower and upper limits of the i-th design variable of the array structure size.

4. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to claim 1, characterized in that: The solution of the comprehensive optimization model for the electro-mechanical-thermal performance of the antenna includes solving the comprehensive optimization model for the electro-mechanical-thermal performance of the antenna through a multi-objective genetic algorithm.

5. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to any one of claims 1 to 4, characterized in that: When constructing the temperature / design variable-thermal deformation surrogate model according to the structural thermal deformation data; Before constructing the design variable-vibration deformation proxy model based on the structural deformation data, the phased array antenna rapid optimization design method further includes: Pre-processing of structural thermal deformation data and structural deformation data, including: The structural thermal deformation data and structural deformation data were normalized by z-score, and the data were scaled to a normal distribution with a mean of 0 and a variance of 1, as follows: Where μ and σ are the mean and standard deviation of the data, respectively; x represents the original structural thermal deformation data and structural deformation data; and x′ represents the normalized structural thermal deformation data and structural deformation data.

6. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to any one of claims 1 to 4, characterized in that: The temperature / design variable-thermal deformation proxy model is constructed by an improved neural network model; and / or, The design variable-vibration deformation proxy models are all constructed by the improved neural network model.

7. The method for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance according to any one of claims 1 to 4, characterized in that: Substituting the thermal displacement data and the vibration displacement data into the structure-electromagnetic coupling model to calculate the electrical performance of the phased array antenna specifically includes: In the triangular grid array antenna in the Oxy plane, the array elements are arranged in a triangular grid with M rows and N columns, where the spacing between the array elements in the x-axis direction is d x , the spacing in the y-axis direction is d y , that is, each triangular grid has a base of d x , height is d y Assume that the position vector of the antenna array element in the mth row and nth column is r mn =x mn i+y mn j+z mn k, where the horizontal and vertical coordinates x along the x and y axes are mn and y mn Respectively expressed as: The position vector of the (m, n)th antenna array element is connected to the direction cosine r0 = cosα of the observation point in the far field x i+cosα y j+cosα z k, the triangular grid array antenna array factor pattern function is obtained as shown below Where, I mn 、 are the amplitude and phase of the (m,n)th array element excitation current, k = 2π / λ is the space wave constant, λ is the operating wavelength of the array antenna, cosα x = sinθcosφ, cosα y =sinθsinφ, cosα z = cosθ, where θ∈(0,π) and φ∈(0,2π) are the elevation and azimuth angles of the observation direction, respectively; Under the influence of thermal deformation and random vibration, for a planar array antenna with elements arranged in a triangular grid, let the position error of the (m,n)th element be (Δx mn ,Δy mn ,Δz mn ), the structure-electromagnetic coupling model of the triangular grid array antenna is established as: Where, E S (θ, φ) is the electrical performance of the triangular grid array antenna under the influence of structural errors. The thermal displacement data and vibration displacement data are substituted into the structure-electromagnetic coupling model to calculate the electrical performance of the phased array antenna.

8. A phased array antenna rapid optimization design system for electromechanical thermal performance, characterized by: include: A structural model determination module is used to execute S1 and determine the structural model of the antenna according to the structural composition of the phased array antenna; A sensitivity analysis module is used to execute S2 and perform sensitivity analysis on antenna design parameters according to the antenna structure model; A design variable determination module is used to execute S3 and determine the design variables of the phased array antenna according to the sensitivity analysis results; A parameter determination module is used to execute S4, establish a comprehensive optimization model of the electromechanical and thermal performance of the antenna based on the design variables, optimization objectives and constraints of the phased array antenna, solve the comprehensive optimization model of the electromechanical and thermal performance of the antenna, and obtain the structural parameters and material parameters of the phased array antenna; The heat dissipation and random vibration analysis module is used to execute S5, establish an antenna structure finite element model based on the antenna structure model, add the structural parameters and material parameters of the phased array antenna to the antenna structure finite element model, perform heat dissipation analysis and random vibration analysis respectively, and obtain structural thermal deformation data and structural deformation data under the influence of random vibration; A deformation agent module construction module is used to execute S6 and construct a temperature / design variable-thermal deformation agent model based on structural thermal deformation data and design variables; Constructing a design variable-vibration deformation proxy model based on structural deformation data and design variables; The electrical performance calculation module is used to execute S7, determine the vibration data and temperature data of the operating environment of the phased array antenna, substitute the data into the design variable-vibration deformation proxy model and the temperature / design variable-thermal deformation proxy model, and obtain thermal displacement data and vibration displacement data; Substitute thermal displacement data and vibration displacement data into the structural-electromagnetic coupling model to calculate the electrical performance of the phased array antenna; A judgment module, configured to execute S8 and judge whether the electrical performance meets the requirements; if so, obtaining the optimal design parameters of the phased array antenna; Otherwise, return to step S3, modify the design variables of the phased array antenna, and repeat S3 to S8 until the electrical performance meets the requirements.

9. A computer-readable storage medium, characterized in that It stores a computer program for rapid optimization design of phased array antennas oriented towards electromechanical thermal performance, wherein the computer program enables a computer to execute the rapid optimization design method of phased array antennas oriented towards electromechanical thermal performance as described in any one of claims 1 to 7.

10. An electronic device, characterized in that: include: One or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and are configured to be executed by the one or more processors, the programs including a method for executing the rapid optimization design method for phased array antennas oriented towards electromechanical thermal performance according to any one of claims 1 to 7.

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