CN116562124A - Method and device for predicting the influence of high-speed aircraft radome ablation on electromagnetic performance - Google Patents
Method and device for predicting the influence of high-speed aircraft radome ablation on electromagnetic performance Download PDFInfo
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Abstract
本发明公开了一种高速飞行器天线罩烧蚀对电磁性能影响的预测方法和装置,包括通过获取烧蚀过程中热烧蚀和热透波两个子阶段的试验数据集和全系统级多个不同保真度的试验数据集;基于关联高斯代理模型方法,利用上述子阶段级数据集构建最低保真度代理模型;基于分层克里金方法,按照保真度从低到高逐步融合全系统级数据集,并迭代更新代理模型获得目标预测代理模型;当接收到天线罩烧蚀相应输入参数时,通过目标预测代理模型进行响应预测,得到天线罩对应的烧蚀电磁性能预测响应值和预测误差。从而基于多种来源的试验数据,更为精确地构建天线罩烧蚀对电磁性能影响的代理模型,进而实现天线罩烧蚀对电磁性能影响的快速预测。
The invention discloses a method and device for predicting the influence of high-speed aircraft radome ablation on electromagnetic performance, including obtaining test data sets of two sub-stages of thermal ablation and thermal wave penetration in the ablation process and a plurality of different Fidelity test data set; based on the associated Gaussian surrogate model method, the lowest fidelity surrogate model is constructed using the above sub-stage level data set; based on the hierarchical kriging method, the whole system is gradually fused according to the fidelity from low to high level data set, and iteratively update the proxy model to obtain the target prediction proxy model; when receiving the corresponding input parameters of the radome ablation, the response prediction is performed through the target prediction proxy model, and the corresponding ablation electromagnetic performance prediction response value and predicted response value of the radome are obtained. error. Therefore, based on the experimental data from various sources, the proxy model of the influence of radome ablation on electromagnetic performance can be constructed more accurately, and then the rapid prediction of the influence of radome ablation on electromagnetic performance can be realized.
Description
技术领域Technical Field
本发明涉及天线技术领域,尤其涉及一种高速飞行器天线罩烧蚀对电磁性能影响的预测方法和装置。The present invention relates to the field of antenna technology, and in particular to a method and device for predicting the influence of ablation of a high-speed aircraft radome on electromagnetic performance.
背景技术Background Art
在飞行器高速飞行的过程中,由于飞行速度极高,动能转换为空气分子的内能使其前端附近的温度升高,在天线罩体周围形成远高于罩体本身材料的热解温度的高温激波,从而导致了热烧蚀现象的产生;而天线罩材料被烧蚀后,其物理结构遭到破坏,使得内部电磁波穿透罩体时形成热透波,此时罩体材料厚度的变化会影响天线的波束指向,加上温度的变化也会影响到罩体材料的介电性能,这些都会对天线的工作性能造成恶性影响(包括天线抗阻失配、天线增益下降和频偏等),最终导致信号传输出现问题。由于天线罩被烧蚀的情况无法直接避免,所以对天线罩烧蚀过程中的初始因素(如飞行速度等)如何影响电磁性能的分析尤为重要,这样才可以对烧蚀造成的误差进行修正,确保天线的正常工作。During the high-speed flight of the aircraft, due to the extremely high flight speed, the kinetic energy is converted into the internal energy of the air molecules, causing the temperature near the front end to rise, forming a high-temperature shock wave around the antenna cover that is much higher than the pyrolysis temperature of the cover material itself, resulting in the occurrence of thermal ablation; and after the antenna cover material is ablated, its physical structure is destroyed, so that the internal electromagnetic wave forms a thermal transmission wave when it penetrates the cover. At this time, the change in the thickness of the cover material will affect the beam pointing of the antenna, and the change in temperature will also affect the dielectric properties of the cover material. These will have a negative impact on the working performance of the antenna (including antenna impedance mismatch, antenna gain reduction and frequency deviation, etc.), and ultimately cause problems in signal transmission. Since the ablation of the antenna cover cannot be directly avoided, it is particularly important to analyze how the initial factors (such as flight speed, etc.) in the antenna cover ablation process affect the electromagnetic performance, so that the errors caused by ablation can be corrected to ensure the normal operation of the antenna.
然而,由于飞行试验实施复杂,成本高昂,大量实施不可行,所以在目前研究中一般依靠大量的仿真试验进行分析。绝大部分的研究集中在通过对天线罩烧蚀物理过程的条件进行模拟仿真研究,如对热烧蚀阶段通过气动加热软件计算其热响应,对热透波阶段通过高阶矩量法对天线阵列进行仿真从而对天线罩进行优化,对全系统通过热电联合仿真分析其整体效应。However, due to the complexity and high cost of flight test implementation, large-scale implementation is not feasible, so current research generally relies on a large number of simulation tests for analysis. Most of the research focuses on simulating the conditions of the radome ablation physical process, such as calculating the thermal response of the thermal ablation stage through aerodynamic heating software, simulating the antenna array through the high-order moment method in the thermal wave transmission stage to optimize the radome, and analyzing the overall effect of the whole system through thermal and electrical joint simulation.
但上述方案仅从仿真模拟的角度进行建模,依靠大计算量仿真模拟计算的方式进行计算,无法快速实现天线罩烧蚀对电磁性能的预测,且没有利用实际试验的信息。However, the above scheme only models from the perspective of simulation, relying on large-scale simulation calculations to perform calculations. It is unable to quickly predict the impact of antenna cover ablation on electromagnetic performance, and does not utilize information from actual experiments.
发明内容Summary of the invention
本发明提供了一种高速飞行器天线罩烧蚀对电磁性能影响的预测方法和装置,解决了现有方案仅从仿真模拟的角度进行建模,依靠大计算量仿真模拟计算的方式进行计算,无法快速实现天线罩烧蚀对电磁性能的预测,且缺乏利用多种来源试验数据信息的技术问题。The present invention provides a method and device for predicting the influence of antenna cover ablation on electromagnetic performance of high-speed aircraft, which solves the technical problems that the existing scheme only models from the perspective of simulation, relies on large-scale simulation calculation to perform calculations, cannot quickly realize the prediction of the electromagnetic performance caused by antenna cover ablation, and lacks the technical problems of utilizing test data information from multiple sources.
本发明提供的一种高速飞行器天线罩烧蚀对电磁性能影响的预测方法,其特征在于,包括:The present invention provides a method for predicting the influence of high-speed aircraft radome ablation on electromagnetic performance, which is characterized by comprising:
获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集、热透波阶段试验数据集和多个不同保真度的全系统级试验数据集;Acquire the thermal ablation stage test data set, thermal wave transmission stage test data set and multiple full-system level test data sets of different fidelity during the ablation process of the radome of a high-speed aircraft;
基于关联高斯代理模型方法,采用所述热烧蚀阶段试验数据集和所述热透波阶段试验数据集构建最低保真度的初始预测代理模型;Based on the associated Gaussian proxy model method, the thermal ablation stage test data set and the thermal wave transmission stage test data set are used to construct the lowest fidelity initial prediction proxy model;
基于分层克里金方法,按照所述保真度从低到高逐步融合所述全系统级试验数据集,并迭代更新所述初始预测代理模型,生成目标预测代理模型;Based on the stratified kriging method, the full system level test data set is gradually integrated from low to high according to the fidelity, and the initial prediction proxy model is iteratively updated to generate a target prediction proxy model;
当接收到所述天线罩的烧蚀输入参数时,通过所述目标预测代理模型进行响应预测,生成电磁性能预测响应值和预测误差。When the ablation input parameters of the radome are received, response prediction is performed through the target prediction agent model to generate electromagnetic performance prediction response values and prediction errors.
可选地,所述基于关联高斯代理模型方法,采用所述热烧蚀阶段试验数据集和所述热透波阶段试验数据集构建最低保真度的初始预测代理模型的步骤,包括:Optionally, the step of constructing a minimum fidelity initial prediction proxy model based on the associated Gaussian proxy model method using the thermal ablation stage test data set and the thermal wave transmission stage test data set includes:
当接收到确定性试验核函数时,采用高斯过程结合所述确定性试验核函数,分别构建热烧蚀阶段模型和热透波阶段模型;When receiving the deterministic test kernel function, a Gaussian process is used in combination with the deterministic test kernel function to respectively construct a thermal ablation stage model and a thermal wave transmission stage model;
根据所述热烧蚀阶段模型和所述热透波阶段模型,采用关联高斯代理模型方法,构建不确定性传播关系式;According to the thermal ablation stage model and the thermal wave transmission stage model, an uncertainty propagation relation is constructed by using a correlation Gaussian proxy model method;
采用所述热烧蚀阶段试验数据集和所述热透波阶段试验数据集分别代入至所述不确定性传播关系式,计算响应方差与响应均值;Substituting the test data set of the thermal ablation stage and the test data set of the thermal wave transmission stage into the uncertainty propagation relationship respectively, and calculating the response variance and the response mean;
采用所述响应方差与所述响应均值,生成最低保真度的初始预测代理模型。The response variance and the response mean are used to generate an initial prediction proxy model with the lowest fidelity.
可选地,所述基于分层克里金方法,按照所述保真度从低到高逐步融合所述全系统级试验数据集,并迭代更新所述最低保真度的初始预测代理模型,生成目标预测代理模型的步骤,包括:Optionally, the step of gradually fusing the full system-level test data set according to the fidelity from low to high based on the stratified kriging method, and iteratively updating the initial prediction proxy model with the lowest fidelity to generate the target prediction proxy model includes:
基于所述初始预测代理模型构建其与真实响应之间的偏差模型;Building a deviation model between the initial prediction proxy model and the actual response based on the initial prediction proxy model;
选取当前最小的所述保真度对应的全系统级试验数据集作为训练数据集;Selecting a full-system-level test data set corresponding to the current minimum fidelity as a training data set;
通过所述初始预测代理模型计算所述训练数据集对应的多个预测响应值并构建预测向量;Calculate multiple predicted response values corresponding to the training data set through the initial prediction agent model and construct a prediction vector;
基于所述预测向量和所述全系统级试验数据集对应的真实响应向量,计算所述偏差模型的最优线性无偏预测值和偏差系数;Calculating the optimal linear unbiased prediction value and the deviation coefficient of the deviation model based on the prediction vector and the true response vector corresponding to the full system level test data set;
根据所述偏差模型的最优线性无偏预测值和所述偏差系数更新所述初始预测代理模型,生成中间预测代理模型;Update the initial prediction proxy model according to the optimal linear unbiased prediction value of the deviation model and the deviation coefficient to generate an intermediate prediction proxy model;
判断是否存在未选取的所述全系统级试验数据集;Determining whether there is any unselected system-level test data set;
若是,则将所述中间预测代理模型作为新的初始预测代理模型,跳转执行所述选取当前最小的所述保真度对应的全系统级试验数据集作为训练数据集的步骤;If yes, the intermediate prediction proxy model is used as a new initial prediction proxy model, and the step of selecting the full-system-level test data set corresponding to the current minimum fidelity as the training data set is executed;
若否,则将当前时刻的中间预测代理模型确定为目标预测代理模型。If not, the intermediate prediction proxy model at the current moment is determined as the target prediction proxy model.
可选地,所述基于所述预测向量和所述全系统级试验数据集对应的真实响应向量,计算所述偏差模型的最优线性无偏预测值和偏差系数的步骤,包括:Optionally, the step of calculating the optimal linear unbiased prediction value and the deviation coefficient of the deviation model based on the prediction vector and the true response vector corresponding to the full system-level test data set includes:
构建所述全系统级试验数据集的相关矩阵,并变换为逆矩阵;Constructing a correlation matrix of the full system level test data set and transforming it into an inverse matrix;
将所述预测向量变换为转置矩阵;Transforming the prediction vector into a transposed matrix;
采用所述逆矩阵、所述转置矩阵、所述真实响应向量和所述预测向量,确定对应的偏差系数;Determine a corresponding deviation coefficient using the inverse matrix, the transposed matrix, the true response vector and the predicted vector;
计算所述偏差系数与所述预测向量之间的乘值;Calculating the multiplication value between the deviation coefficient and the prediction vector;
计算所述全系统级试验数据集对应的真实响应向量和乘值之间的差值;Calculating the difference between the true response vector and the product value corresponding to the full system level test data set;
采用所述差值、所述相关矩阵和所述逆矩阵,确定所述偏差模型的最优线性无偏预测值。The difference, the correlation matrix and the inverse matrix are used to determine the optimal linear unbiased prediction value of the deviation model.
可选地,所述根据所述偏差模型的最优线性无偏预测值和所述偏差系数更新所述初始预测代理模型,生成中间预测代理模型的步骤,包括:Optionally, the step of updating the initial prediction proxy model according to the optimal linear unbiased prediction value of the deviation model and the deviation coefficient to generate an intermediate prediction proxy model comprises:
采用所述偏差系数结合所述初始预测代理模型,加上所述偏差模型的最优线性无偏预测值,生成中间预测代理模型;The deviation coefficient is combined with the initial prediction proxy model, and the optimal linear unbiased prediction value of the deviation model is added to generate an intermediate prediction proxy model;
计算所述中间预测代理模型对应的均方误差;Calculating the mean square error corresponding to the intermediate prediction proxy model;
所述中间预测代理模型为:The intermediate prediction proxy model is:
所述均方误差为:The mean square error is:
其中,x为代理模型的输入,为中间预测代理模型的预测响应值,ρn+1为偏差系数,为初始预测代理模型的预测响应值,为偏差模型的最优线性无偏预测值,MSEn+1(x)为均方误差,为未知的全系统级试验数据集与已知的全系统级试验数据集之间的相关向量,Rn+1为已知的全系统级试验数据集的Nn+1×Nn+1相关矩阵R(xi,xj),是回归矩阵。Among them, x is the input of the proxy model, is the predicted response value of the intermediate prediction agent model, ρ n+1 is the deviation coefficient, is the predicted response value of the initial prediction agent model, is the optimal linear unbiased prediction value of the bias model, MSE n+1 (x) is the mean square error, is the correlation vector between the unknown full-system-level test data set and the known full-system-level test data set, R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the known full-system-level test data set, is the regression matrix.
本发明提供了一种高速飞行器天线罩烧蚀对电磁性能影响的预测装置,其特征在于,包括:The present invention provides a prediction device for the influence of ablation of a high-speed aircraft radome on electromagnetic performance, which is characterized by comprising:
数据集获取模块,用于获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集、热透波阶段试验数据集和多个不同保真度的全系统级试验数据集;The data set acquisition module is used to acquire the test data set of the thermal ablation stage, the thermal wave transmission stage and multiple full-system level test data sets of different fidelity during the ablation process of the radome of the high-speed aircraft;
模型构建模块,用于基于关联高斯代理模型方法,采用所述热烧蚀阶段试验数据集和所述热透波阶段试验数据集构建最低保真度的初始预测代理模型;A model building module, used to build a minimum fidelity initial prediction proxy model based on a correlated Gaussian proxy model method using the thermal ablation stage test data set and the thermal wave transmission stage test data set;
模型更新模块,用于基于分层克里金方法,按照所述保真度从低到高逐步融合所述全系统级试验数据集,并迭代更新所述初始预测代理模型,生成目标预测代理模型;A model updating module, for gradually fusing the full system-level test data set from low to high fidelity based on a stratified kriging method, and iteratively updating the initial prediction proxy model to generate a target prediction proxy model;
预测模块,用于当接收到所述天线罩的烧蚀输入参数时,通过所述目标预测代理模型进行响应预测,生成电磁性能预测响应值和预测误差。The prediction module is used to perform response prediction through the target prediction agent model when receiving the ablation input parameters of the radome, and generate the electromagnetic performance prediction response value and prediction error.
可选地,所述模型构建模块具体用于:Optionally, the model building module is specifically used to:
当接收到确定性试验核函数时,采用高斯过程结合所述确定性试验核函数,分别构建热烧蚀阶段模型和热透波阶段模型;When receiving the deterministic test kernel function, a Gaussian process is used in combination with the deterministic test kernel function to respectively construct a thermal ablation stage model and a thermal wave transmission stage model;
根据所述热烧蚀阶段模型和所述热透波阶段模型,采用关联高斯代理模型方法,构建不确定性传播关系式;According to the thermal ablation stage model and the thermal wave transmission stage model, an uncertainty propagation relation is constructed by using a correlation Gaussian proxy model method;
采用所述热烧蚀阶段试验数据集和所述热透波阶段试验数据集分别代入至所述不确定性传播关系式,计算响应方差与响应均值;Substituting the test data set of the thermal ablation stage and the test data set of the thermal wave transmission stage into the uncertainty propagation relationship respectively, and calculating the response variance and the response mean;
采用所述响应方差与所述响应均值,生成最低保真度的初始预测代理模型。The response variance and the response mean are used to generate an initial prediction proxy model with the lowest fidelity.
可选地,所述模型更新模块包括:Optionally, the model updating module includes:
偏差模型构建子模块,用于基于所述初始预测代理模型构建其与真实响应之间的偏差模型;A deviation model building submodule, used for building a deviation model between the initial prediction proxy model and the actual response based on the initial prediction proxy model;
数据集选取子模块,用于选取当前最小的所述保真度对应的全系统级试验数据集作为训练数据集;A data set selection submodule, used to select a full-system level test data set corresponding to the current minimum fidelity as a training data set;
预测向量计算子模块,用于通过所述初始预测代理模型计算所述训练数据集对应的多个预测响应值并构建预测向量;A prediction vector calculation submodule, used to calculate a plurality of prediction response values corresponding to the training data set through the initial prediction proxy model and construct a prediction vector;
参数计算子模块,用于基于所述预测向量和所述全系统级试验数据集对应的真实响应向量,计算所述偏差模型的最优线性无偏预测值和偏差系数;A parameter calculation submodule, used to calculate the optimal linear unbiased prediction value and the deviation coefficient of the deviation model based on the prediction vector and the real response vector corresponding to the full system level test data set;
模型更新子模块,用于根据所述偏差模型的最优线性无偏预测值和所述偏差系数更新所述初始预测代理模型,生成中间预测代理模型;A model updating submodule, used for updating the initial prediction proxy model according to the optimal linear unbiased prediction value of the deviation model and the deviation coefficient to generate an intermediate prediction proxy model;
判断子模块,用于判断是否存在未选取的所述全系统级试验数据集;A judgment submodule, used for judging whether there is any unselected system-level test data set;
循环子模块,用于若是,则将所述中间预测代理模型作为新的初始预测代理模型,跳转执行所述选取当前最小的所述保真度对应的全系统级试验数据集作为训练数据集的步骤;A loop submodule, for: if yes, using the intermediate prediction proxy model as a new initial prediction proxy model, and jumping to the step of selecting the full-system-level test data set corresponding to the current minimum fidelity as a training data set;
模型确定子模块,用于若否,则将当前时刻的中间预测代理模型确定为目标预测代理模型。The model determination submodule is used to determine the intermediate prediction proxy model at the current moment as the target prediction proxy model if not.
可选地,所述参数计算子模块具体用于:Optionally, the parameter calculation submodule is specifically used for:
构建所述全系统级试验数据集的相关矩阵,并变换为逆矩阵;Constructing a correlation matrix of the full system level test data set and transforming it into an inverse matrix;
将所述预测向量变换为转置矩阵;Transforming the prediction vector into a transposed matrix;
采用所述逆矩阵、所述转置矩阵、所述真实响应向量和所述预测向量,确定对应的偏差系数;Determine a corresponding deviation coefficient using the inverse matrix, the transposed matrix, the true response vector and the predicted vector;
计算所述偏差系数与所述预测向量之间的乘值;Calculating the multiplication value between the deviation coefficient and the prediction vector;
计算所述全系统级试验数据集对应的真实响应向量和乘值之间的差值;Calculating the difference between the true response vector and the product value corresponding to the full system level test data set;
采用所述差值、所述相关矩阵和所述逆矩阵,确定所述偏差模型的最优线性无偏预测值。The difference, the correlation matrix and the inverse matrix are used to determine the optimal linear unbiased prediction value of the deviation model.
可选地,所述模型更新子模块具体用于:Optionally, the model updating submodule is specifically used for:
采用所述偏差系数结合所述初始预测代理模型,加上所述偏差模型的最优线性无偏预测值,生成中间预测代理模型;The deviation coefficient is combined with the initial prediction proxy model, and the optimal linear unbiased prediction value of the deviation model is added to generate an intermediate prediction proxy model;
计算所述中间预测代理模型对应的均方误差;Calculating the mean square error corresponding to the intermediate prediction proxy model;
所述中间预测代理模型为:The intermediate prediction proxy model is:
所述均方误差为:The mean square error is:
其中,x为代理模型的输入,为中间预测代理模型的预测响应值,ρn+1为偏差系数,为初始预测代理模型的预测响应值,为偏差模型的最优线性无偏预测值,MSEn+1(x)为均方误差,为未知的全系统级试验数据集与已知的全系统级试验数据集之间的相关向量,Rn+1为已知的全系统级试验数据集的Nn+1×Nn+1相关矩阵R(xi,xj),是回归矩阵。Among them, x is the input of the proxy model, is the predicted response value of the intermediate prediction agent model, ρ n+1 is the deviation coefficient, is the predicted response value of the initial prediction agent model, is the optimal linear unbiased prediction value of the bias model, MSE n+1 (x) is the mean square error, is the correlation vector between the unknown full-system-level test data set and the known full-system-level test data set, R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the known full-system-level test data set, is the regression matrix.
从以上技术方案可以看出,本发明具有以下优点:It can be seen from the above technical solutions that the present invention has the following advantages:
本发明通过获取烧蚀过程中热烧蚀和热透波两个子阶段的试验数据集和全系统级多个不同保真度的试验数据集;基于关联高斯代理模型方法,利用上述子阶段级数据集构建最低保真度代理模型;基于分层克里金方法,按照保真度从低到高逐步融合全系统级数据集,并迭代更新代理模型获得目标预测代理模型;当接收到天线罩烧蚀相应输入参数时,通过目标预测代理模型进行响应预测,得到天线罩对应的烧蚀电磁性能预测响应值和预测误差。从而基于多种来源的试验数据,更为精确地构建天线罩烧蚀对电磁性能影响的代理模型,进而实现天线罩烧蚀对电磁性能影响的快速预测。The present invention obtains the test data sets of the two sub-stages of thermal ablation and thermal wave transmission in the ablation process and multiple test data sets of different fidelity at the whole system level; based on the associated Gaussian proxy model method, the minimum fidelity proxy model is constructed using the above sub-stage level data sets; based on the stratified kriging method, the whole system level data sets are gradually integrated from low to high fidelity, and the proxy model is iteratively updated to obtain the target prediction proxy model; when the corresponding input parameters of the radome ablation are received, the response prediction is performed through the target prediction proxy model to obtain the corresponding ablation electromagnetic performance prediction response value and prediction error of the radome. Therefore, based on the test data from multiple sources, a proxy model of the influence of radome ablation on electromagnetic performance is more accurately constructed, thereby realizing the rapid prediction of the influence of radome ablation on electromagnetic performance.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其它的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.
图1为本发明实施例一提供的一种飞行器的天线罩烧蚀电磁性能预测方法的步骤流程图;FIG1 is a flowchart of the steps of a method for predicting electromagnetic performance of radome ablation of an aircraft provided in Embodiment 1 of the present invention;
图2为本发明实施例二提供的一种飞行器的天线罩烧蚀电磁性能预测方法的步骤流程图;FIG2 is a flowchart of the steps of a method for predicting electromagnetic performance of radome ablation of an aircraft provided in a second embodiment of the present invention;
图3为本发明实施例的一致性代理模型的构建方法的步骤流程图;FIG3 is a flowchart of the steps of a method for constructing a consistency proxy model according to an embodiment of the present invention;
图4为本发明实施例的一种飞行器的天线罩烧蚀电磁性能预测的步骤流程图;FIG4 is a flowchart of the steps of predicting electromagnetic performance of radome ablation of an aircraft according to an embodiment of the present invention;
图5为本发明实施例三提供的一种飞行器的天线罩烧蚀电磁性能预测装置的结构框图。FIG5 is a structural block diagram of a device for predicting electromagnetic performance of radome ablation of an aircraft provided in a third embodiment of the present invention.
具体实施方式DETAILED DESCRIPTION
天线罩是一种位于飞行器前端雷达的结构防护设备,通常是为了减少外界各种因素对雷达天线的影响而存在,其主要目的是保护天线免受外部环境的影响且具有良好的电磁波穿透特性。天线罩体烧蚀的分析流程可以分为两个阶段,分别是热烧蚀阶段和热透波阶段,其复杂程度使得直接整体建模研究存在一定难度,不仅需要考虑到天线罩在整个过程中的热力性态,而且还要考虑到动态变化的电磁性能。如果对其整体进行热-电-力的全波分析仿真,虽然数据准确度高,但工作量是巨大的,且需要耗费很多的计算资源;而分阶段的仿真试验虽然相对少了一些计算量,但也缺乏一些方法将这两个阶段的仿真试验链接起来。因此,寻求一种能够用较低成本精确计算此过程,且能够整合现有各种来源试验数据的方法是非常有必要的。The radome is a structural protection device located at the front radar of an aircraft. It is usually used to reduce the impact of various external factors on the radar antenna. Its main purpose is to protect the antenna from the influence of the external environment and has good electromagnetic wave penetration characteristics. The analysis process of radome ablation can be divided into two stages, namely the thermal ablation stage and the thermal wave penetration stage. Its complexity makes it difficult to directly model the whole body. It is necessary to consider not only the thermal and mechanical properties of the radome during the whole process, but also the dynamically changing electromagnetic properties. If the whole body is subjected to full-wave thermal-electrical-mechanical analysis and simulation, although the data accuracy is high, the workload is huge and a lot of computing resources are required; and although the staged simulation test has relatively less calculation, there is also a lack of some methods to link the two stages of simulation tests. Therefore, it is very necessary to seek a method that can accurately calculate this process at a lower cost and integrate the existing test data from various sources.
代理模型是指利用复杂系统的试验数据对其所建立的近似数学模型,用以描述复杂系统的输入与输出之间的关系,它在许多科学和工程领域中起着非常重要的作用。传统的代理模型构建方法称为“All-In-One(AIO)”方法,AIO方法将整个复杂系统看成一个黑箱,直接对全系统进行试验并根据试验数据构建代理模型。传统的AIO建模方法主要有多项式响应曲面法、支持向量机法、神经网络、Kriging等,其中Kriging(又称为高斯过程回归模型)适应于非线性、小样本建模。然而,对于上述天线罩烧蚀系统来讲,全系统试验十分昂贵,因此所能获取的试验样本量也相对较少,但其保真度相对也较高。另外,AIO方法强调整体为黑箱函数而忽略了各个子系统间的关联关系,由于天线罩烧蚀分析系统是由两个子阶段(热烧蚀阶段和热透波阶段)串联而成的,它们之间仅通过输入输出单向关联,所以可以考虑通过对相对较易获得的各个阶段的仿真试验数据构建代理模型。这种将各阶段的代理模型通过分析方法耦合起来用以构建全系统的代理模型被称为关联代理模型。A proxy model is an approximate mathematical model established using the test data of a complex system to describe the relationship between the input and output of the complex system. It plays a very important role in many scientific and engineering fields. The traditional proxy model construction method is called the "All-In-One (AIO)" method. The AIO method regards the entire complex system as a black box, directly tests the entire system and builds a proxy model based on the test data. Traditional AIO modeling methods mainly include polynomial response surface method, support vector machine method, neural network, Kriging, etc. Among them, Kriging (also known as Gaussian process regression model) is suitable for nonlinear and small sample modeling. However, for the above-mentioned radome ablation system, the full system test is very expensive, so the amount of test samples that can be obtained is relatively small, but its fidelity is relatively high. In addition, the AIO method emphasizes that the whole is a black box function and ignores the correlation between each subsystem. Since the radome ablation analysis system is composed of two sub-stages (thermal ablation stage and thermal wave transmission stage) connected in series, they are only unidirectionally related through input and output, so it is possible to consider building a proxy model through the simulation test data of each stage that is relatively easy to obtain. This kind of agent model that couples the agent models of each stage through analytical methods to construct an agent model for the entire system is called an associated agent model.
本发明实施例提供了一种高速飞行器天线罩烧蚀对电磁性能影响的预测方法和装置,用于解决现有方案仅从仿真模拟的角度进行建模,依靠大计算量仿真模拟计算的方式进行计算,无法快速实现天线罩烧蚀对电磁性能的预测,且缺乏对多种来源试验数据信息进行融合的技术问题。The embodiments of the present invention provide a method and device for predicting the influence of antenna cover ablation on electromagnetic performance of a high-speed aircraft, which is used to solve the problem that the existing solutions only perform modeling from the perspective of simulation, rely on large-scale simulation calculations for calculation, cannot quickly realize the prediction of the electromagnetic performance caused by antenna cover ablation, and lack the technical problem of fusing test data information from multiple sources.
为使得本发明的发明目的、特征、优点能够更加的明显和易懂,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,下面所描述的实施例仅仅是本发明一部分实施例,而非全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其它实施例,都属于本发明保护的范围。In order to make the purpose, features and advantages of the present invention more obvious and easy to understand, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the embodiments described below are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
请参阅图1,图1为本发明实施例一提供的一种飞行器的天线罩烧蚀电磁性能预测方法的步骤流程图。Please refer to FIG. 1 , which is a flowchart of the steps of a method for predicting electromagnetic performance of radome ablation of an aircraft provided in a first embodiment of the present invention.
本发明提供的一种飞行器的天线罩烧蚀电磁性能预测方法,包括:The present invention provides a method for predicting electromagnetic performance of ablation of a radome of an aircraft, comprising:
步骤101,获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集、热透波阶段试验数据集和多个不同保真度的全系统级试验数据集;Step 101, obtaining a test data set of a thermal ablation phase, a test data set of a thermal wave transmission phase, and a plurality of full-system level test data sets of different fidelity during the ablation process of a radome of a high-speed aircraft;
在具体实现中,可以先对天线罩烧蚀电磁性能的各阶段影响因素进行分析,例如在热烧蚀阶段,即飞行器天线罩在高速飞行过程中受到烧蚀的过程,考虑输入变量分别为来流速度x1、来流静温、来流静压x3、表面粗糙度x4、材料密度x5、材料比热x6、表面辐射系数x7、导热系数x8、液层粘性系数x9,这些变量都作用于此热烧蚀过程从而输出变量为温度分布w1和烧蚀后厚度w2;在热透波阶段,即天线罩烧蚀后的各种参数影响其电磁性能的过程,输入变量包括外部变量——频率z和热烧蚀阶段的输出,其中温度分布w1通过一个已知的映射g影响介电常数g(w1),再加上烧蚀后厚度w2这三个变量一起作用于此热透波过程最后输出能反映电性能的变量反射系数y1和透射系数y2。In the specific implementation, the factors affecting the electromagnetic performance of the radome ablation at each stage can be analyzed first. For example, in the thermal ablation stage, that is, the process in which the aircraft radome is ablated during high-speed flight, the input variables considered are the incoming flow velocity x 1 , the incoming flow static temperature, the incoming flow static pressure x 3 , the surface roughness x 4 , the material density x 5 , the material specific heat x 6 , the surface radiation coefficient x 7 , the thermal conductivity x 8 , and the liquid layer viscosity coefficient x 9. These variables all act on this thermal ablation process. Therefore, the output variables are the temperature distribution w1 and the thickness after ablation w2 ; in the thermal wave transmission stage, that is, the process in which various parameters of the antenna cover after ablation affect its electromagnetic properties, the input variables include external variables - frequency z and the output of the thermal ablation stage, among which the temperature distribution w1 affects the dielectric constant g( w1 ) through a known mapping g, and the thickness w2 after ablation. These three variables act together on this thermal wave transmission process Finally, the output variables, reflection coefficient y1 and transmission coefficient y2, which can reflect the electrical properties, are obtained.
在本发明实施例中,为获取天线罩烧蚀电磁性能预测的数据基础,可以先获取子阶段试验数据集和多个不同保真度的全系统级试验数据集。In an embodiment of the present invention, in order to obtain a data basis for predicting the electromagnetic performance of the radome ablation, a sub-stage test data set and a plurality of full-system level test data sets with different fidelity may be first obtained.
其中,子阶段试验数据集包括热烧蚀阶段对应的子阶段试验数据集和热透波阶段对应的子阶段试验数据集,即其中表示热烧蚀阶段的试验数据集,表示热透波阶段的试验数据集。而全系统级试验数据集指的是全系统的试验数据集其中保真度按照从低至高排序,最高的保真度为100%,即全系统级的真实试验数据 The sub-stage test data set includes the sub-stage test data set corresponding to the thermal ablation stage and the sub-stage test data set corresponding to the thermal wave transmission stage, that is, in The experimental data set representing the thermal ablation phase, The test data set refers to the test data set of the whole system. The fidelity is sorted from low to high, with the highest fidelity being 100%, which is the real test data at the full system level.
步骤102,基于关联高斯代理模型方法,采用热烧蚀阶段试验数据集和热透波阶段试验数据集构建最低保真度的初始预测代理模型;Step 102, based on the associated Gaussian proxy model method, using the thermal ablation stage test data set and the thermal wave transmission stage test data set to construct a minimum fidelity initial prediction proxy model;
在本发明实施例中,在获取得到子阶段试验数据集后,可以对该数据集建立热烧蚀阶段高斯过程模型和热透波阶段高斯过程模型,利用关联高斯代理模型方法分析其不确定性传播关系后,结合子阶段试验数据集计算响应方差和响应均值,从而通过高斯过程建模得到整个系统的最低保真度预测代理模型。In an embodiment of the present invention, after obtaining the sub-stage test data set, a Gaussian process model of the thermal ablation stage and a Gaussian process model of the thermal transmission wave stage can be established for the data set. After analyzing the uncertainty propagation relationship using the associated Gaussian proxy model method, the response variance and response mean are calculated in combination with the sub-stage test data set, thereby obtaining the lowest fidelity prediction proxy model of the entire system through Gaussian process modeling.
需要说明的是,热烧蚀阶段模型指的是反映高速飞行器天线罩在高速飞行过程中受到热烧蚀过程的数学模型。热透波阶段模型指的是反映天线罩烧蚀后的各种参数影响其电磁性能的过程的数学模型。初始预测代理模型指的是描述整个系统输入与输出之间关系,通过有限个点(输入)计算原模型的响应(输出)从而建立的代理模型。It should be noted that the thermal ablation stage model refers to a mathematical model that reflects the thermal ablation process of the antenna cover of a high-speed aircraft during high-speed flight. The thermal wave transmission stage model refers to a mathematical model that reflects the process in which various parameters of the antenna cover after ablation affect its electromagnetic properties. The initial prediction proxy model refers to a proxy model that describes the relationship between the input and output of the entire system and is established by calculating the response (output) of the original model through a finite number of points (input).
步骤103,基于分层克里金方法,按照保真度从低到高逐步融合全系统级试验数据集,并迭代更新初始预测代理模型,生成目标预测代理模型;Step 103, based on the stratified kriging method, gradually integrate the whole system level test data set from low to high fidelity, and iteratively update the initial prediction proxy model to generate a target prediction proxy model;
在建立初始预测代理模型后,可以在其基础上融合多种来源的全系统集试验数据集,对所构建的代理模型进行更新,使其预测性能得到进一步提升,此时可以按照保真度从低至高依次融合各个全系统级试验数据集,采用该全系统级试验数据集迭代更新预测代理模型,以生成目标预测代理模型。After the initial prediction proxy model is established, the full-system test datasets from various sources can be integrated on its basis to update the constructed proxy model and further improve its prediction performance. At this time, each full-system-level test dataset can be integrated in sequence from low to high in terms of fidelity, and the prediction proxy model can be iteratively updated using the full-system-level test dataset to generate a target prediction proxy model.
步骤104,当接收到天线罩的烧蚀输入参数时,通过目标预测代理模型进行响应预测,生成电磁性能预测响应值和预测误差。Step 104 , when receiving the ablation input parameters of the radome, a response prediction is performed through the target prediction agent model to generate an electromagnetic performance prediction response value and a prediction error.
在得到目标预测代理模型后,若是此时接收到天线罩烧蚀相应输入参数,可以采用目标预测代理模型进行响应预测,以确定天线罩在该输入下的烧蚀对电磁性能影响的预测响应值,同时计算预测误差,以确定该电磁性能影响预测响应值的不确定性。After obtaining the target prediction proxy model, if the corresponding input parameters of antenna cover ablation are received at this time, the target prediction proxy model can be used to perform response prediction to determine the predicted response value of the influence of antenna cover ablation on electromagnetic performance under the input, and the prediction error can be calculated to determine the uncertainty of the predicted response value of the electromagnetic performance.
在本发明实施例中,通过获取烧蚀过程中热烧蚀和热透波两个子阶段的试验数据集和全系统级多个不同保真度的试验数据集;基于关联高斯代理模型方法,利用上述子阶段级数据集构建最低保真度代理模型;基于分层克里金方法,按照保真度从低到高逐步融合全系统级数据集,并迭代更新代理模型获得目标预测代理模型;当接收到天线罩烧蚀相应输入参数时,通过目标预测代理模型进行响应预测,得到天线罩对应的烧蚀电磁性能预测响应值和预测误差。从而基于多种来源的试验数据,更为精确地构建天线罩烧蚀对电磁性能影响的代理模型,进而实现天线罩烧蚀对电磁性能影响的快速预测。In the embodiment of the present invention, the test data sets of the two sub-stages of thermal ablation and thermal wave transmission in the ablation process and the test data sets of multiple different fidelity at the whole system level are obtained; based on the associated Gaussian proxy model method, the minimum fidelity proxy model is constructed using the above sub-stage level data sets; based on the stratified kriging method, the whole system level data sets are gradually integrated from low to high fidelity, and the proxy model is iteratively updated to obtain the target prediction proxy model; when the corresponding input parameters of the radome ablation are received, the response prediction is performed through the target prediction proxy model to obtain the corresponding ablation electromagnetic performance prediction response value and prediction error of the radome. Therefore, based on the test data from multiple sources, a proxy model of the influence of radome ablation on electromagnetic performance is more accurately constructed, thereby realizing the rapid prediction of the influence of radome ablation on electromagnetic performance.
请参阅图2,图2为本发明实施例二提供的一种飞行器的天线罩烧蚀电磁性能预测方法的步骤流程图。Please refer to FIG. 2 , which is a flow chart showing the steps of a method for predicting electromagnetic performance of radome ablation of an aircraft provided in a second embodiment of the present invention.
本发明提供的一种飞行器的天线罩烧蚀电磁性能预测方法,包括:The present invention provides a method for predicting electromagnetic performance of ablation of a radome of an aircraft, comprising:
步骤201,获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集、热透波阶段试验数据集和多个不同保真度的全系统级试验数据集;Step 201, obtaining a test data set of a thermal ablation phase, a test data set of a thermal wave transmission phase, and a plurality of full-system level test data sets of different fidelity during the ablation process of a radome of a high-speed aircraft;
在本发明实施例中,由于天线罩在高速飞行时会经历热烧蚀阶段和热透波阶段,因此可以获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集和热透波阶段试验数据集,热烧蚀阶段试验数据集包括在热烧蚀阶段的输入变量,也就是来流速度x1、来流静温x2、来流静压x3、表面粗糙度x4、材料密度x5、材料比热x6、表面辐射系数x7、导热系数x8、液层粘性系数x9,以及在热烧蚀阶段完成后得到的输出变量温度分布w1和烧蚀后厚度w2;热烧蚀阶段试验数据集则包括热透波阶段的输入变量和输出变量,即输入变量为温度分布w1通过一个已知的映射g生成的介电常数g(w1),外部输入频率z以及烧蚀后厚度w2,输出变量为反映天线罩电磁性能的变量反射系数y1和透射系数y2。In the embodiment of the present invention, since the radome will experience a thermal ablation stage and a thermal wave transmission stage during high-speed flight, a thermal ablation stage test data set and a thermal wave transmission stage test data set of the radome of the high-speed aircraft during the ablation process can be obtained. The thermal ablation stage test data set includes input variables in the thermal ablation stage, that is, incoming flow velocity x 1 , incoming flow static temperature x 2 , incoming flow static pressure x 3 , surface roughness x 4 , material density x 5 , material specific heat x 6 , surface radiation coefficient x 7 , thermal conductivity x 8 , liquid layer viscosity coefficient x 9 , and output variables temperature distribution w 1 and ablation thickness w 2 obtained after the thermal ablation stage is completed; the thermal ablation stage test data set includes input variables and output variables of the thermal wave transmission stage, that is, the input variable is the dielectric constant g(w 1 ) generated by the temperature distribution w 1 through a known mapping g, the external input frequency z and the ablation thickness w 2 , and the output variables are the reflection coefficient y 1 and the transmission coefficient y 2 that reflect the electromagnetic properties of the radome. .
步骤202,当接收到确定性试验核函数时,采用高斯过程结合确定性试验核函数,分别构建热烧蚀阶段模型和热透波阶段模型;Step 202, when the deterministic test kernel function is received, a Gaussian process is used in combination with the deterministic test kernel function to respectively construct a thermal ablation stage model and a thermal wave transmission stage model;
在本发明实施例中,当接收到确定性试验核函数时,例如正态核函数或拉普拉斯函数,此时可以采用高斯过程结合确定性试验核函数,构建热烧蚀阶段模型和热透波阶段模型。热烧蚀阶段模型为反映飞行器天线罩在高速飞行过程中受到烧蚀的过程所构建的模型,在考虑观测误差ei和截断误差ui的情况下,输入变量与输出变量之间的关系可以建模为:In the embodiment of the present invention, when a deterministic test kernel function is received, such as a normal kernel function or a Laplace function, a Gaussian process combined with a deterministic test kernel function can be used to construct a thermal ablation stage model and a thermal wave transmission stage model. The thermal ablation stage model is a model constructed to reflect the process of ablation of the aircraft antenna cover during high-speed flight. In the case of considering the observation error e i and the truncation error u i , the relationship between the input variable and the output variable can be modeled as:
其中,x=[x1,…,x9],μi(x)是均值函数,是服从正态分布的模型误差。Where x = [x 1 ,…,x 9 ], μ i (x) is the mean function, is the model error that follows a normal distribution.
热透波阶段模型为反映天线罩烧蚀后的各种参数影响其电磁性能的过程的模型,输入变量与输出变量之间的关系可以建模为:The thermal wave transmission stage model is a model that reflects the process in which various parameters of the radome after ablation affect its electromagnetic properties. The relationship between the input variables and the output variables can be modeled as follows:
其中,μj(x)是均值函数,是服从正态分布的模型误差g(w1)为介电常数。where μ j (x) is the mean function, is the model error that follows a normal distribution g(w 1 ) is the dielectric constant.
上述子阶段模型可以通过子阶段试验数据集求解得到。The above sub-stage models can be tested through the sub-stage test dataset The solution is obtained.
步骤203,根据热烧蚀阶段模型和热透波阶段模型,采用关联高斯代理模型方法,构建不确定性传播关系式;Step 203, constructing an uncertainty propagation relational expression based on the thermal ablation stage model and the thermal wave transmission stage model by using a correlation Gaussian proxy model method;
不确定性传播关系为:The uncertainty propagation relationship is:
y~N(E(y),D(y)),y={y1,y2}y~N(E(y),D(y)),y={y 1 ,y 2 }
而两个阶段的输入变量之间都不存在耦合关系,此时推断出上述不确定性传播关系为:There is no coupling relationship between the input variables of the two stages. At this time, the above uncertainty propagation relationship is inferred as:
由此得到该系统第二层的输出y=[y1,y2]与第一层的输入x=[x1,...,x9]以及第二层的外部输入z的关系为其中表示输出变量yj的期望是仅由输入变量(x,z)决定的函数,表示输出变量yj的方差是仅由输入变量(x,z)决定的函数。Thus, the relationship between the output y = [y 1 , y 2 ] of the second layer of the system, the input x = [x 1 , ..., x 9 ] of the first layer, and the external input z of the second layer is: in It means that the expectation of the output variable yj is a function determined only by the input variables (x, z). It means that the variance of the output variable yj is a function determined only by the input variables (x, z).
步骤204,采用热烧蚀阶段试验数据集和热透波阶段试验数据集分别代入至不确定性传播关系式,计算响应方差与响应均值;Step 204, using the test data set of the thermal ablation stage and the test data set of the thermal wave transmission stage to substitute into the uncertainty propagation relationship respectively, and calculating the response variance and the response mean;
步骤205,采用响应方差与响应均值,生成最低保真度的初始预测代理模型。Step 205 , using the response variance and the response mean, generates an initial prediction proxy model with the lowest fidelity.
采用响应方差与响应均值,生成最低保真度的初始预测代理模型其中,X={x,z}是全系统的输入,E(X)为响应均值,D(X)为响应方差。在具体实现中,根据高斯过程中选择的核函数的表达形式以及试验是否为确定性实验,其计算方法如下:Use the response variance and response mean to generate the lowest fidelity initial prediction proxy model Among them, X = {x, z} is the input of the whole system, E (X) is the response mean, and D (X) is the response variance. In the specific implementation, according to the expression form of the kernel function selected in the Gaussian process and whether the experiment is a deterministic experiment, the calculation method is as follows:
a)确定性试验中,核函数选择为正态核、拉普拉斯核或指数核且核函数中的光滑指数是1或2,可以直接计算出E(y)、D(y)的表达式。a) In the deterministic test, the kernel function is selected as the normal kernel, Laplace kernel or exponential kernel and the smoothness index in the kernel function is 1 or 2, and the expressions of E(y) and D(y) can be directly calculated.
b)其他情况,可以使用蒙特卡洛等数值模拟方法计算。b) In other cases, numerical simulation methods such as Monte Carlo can be used for calculation.
步骤206,基于分层克里金方法,按照保真度从低到高逐步融合全系统级试验数据集,并迭代更新初始预测代理模型,生成目标预测代理模型;Step 206, based on the stratified kriging method, gradually fuse the whole system level test data set from low to high fidelity, and iteratively update the initial prediction proxy model to generate a target prediction proxy model;
可选地,步骤206可以包括以下子步骤S11-S18:Optionally, step 206 may include the following sub-steps S11-S18:
S11、基于初始预测代理模型构建其与真实响应之间的偏差模型;S11, constructing a deviation model between the initial prediction proxy model and the actual response;
在本发明实施例中,为进一步提高初始预测代理模型的预测精度,可以按照保真度从低到高逐步融合全系统级数据集Dm,m=1,…,n,并迭代更新代理模型为目标预测代理模型。首先可以选取当前时刻保真度最小所对应的全系统级试验数据集D1作为训练数据集。In the embodiment of the present invention, in order to further improve the prediction accuracy of the initial prediction proxy model, the full system level data set D m , m = 1, ..., n can be gradually integrated from low to high fidelity, and the proxy model can be iteratively updated to be the target prediction proxy model. First, the full system level test data set D 1 corresponding to the minimum fidelity at the current moment can be selected as the training data set.
其中,代理模型M1与M0之间服从如下的偏差模型:Among them, the proxy model M1 and M0 obey the following deviation model:
其中表示模型M1在变量x处的取值,表示初始预测代理模型M0在变量x处的取值,ρ1是偏差因子,z1(x)~GP(0,k1(.,.))是一个零均值的高斯过程,且 in represents the value of model M1 at variable x, represents the value of the initial prediction agent model M 0 at the variable x, ρ 1 is the bias factor, z 1 (x)~GP(0,k 1 (.,.)) is a zero-mean Gaussian process, and
S12、选取当前最小的保真度对应的全系统级试验数据集作为训练数据集;S12, selecting the full system-level test data set corresponding to the current minimum fidelity as the training data set;
选取当前最小的保真度对应的全系统级试验数据集作为训练数据集,通过将训练数据集输入至初始预测代理模型,以计算分别对应的多个预测响应值,并构建预测向量其中指的是初始预测代理模型在变量下的预测响应值。The full-system test data set corresponding to the current minimum fidelity is selected as the training data set. The training data set is input into the initial prediction agent model to calculate the corresponding multiple prediction response values and construct the prediction vector in Refers to the initial prediction proxy model in the variable The predicted response value under .
S13、通过初始预测代理模型计算训练数据集对应的多个预测响应值并构建预测向量;S13, calculating multiple predicted response values corresponding to the training data set through the initial prediction agent model and constructing a prediction vector;
S14、基于预测向量和全系统级试验数据集对应的真实响应向量,计算偏差模型的最优线性无偏预测值和偏差系数;S14, calculating the optimal linear unbiased prediction value and the deviation coefficient of the deviation model based on the prediction vector and the actual response vector corresponding to the full system-level test data set;
进一步地,步骤S14可以包括以下子步骤:Further, step S14 may include the following sub-steps:
构建全系统级试验数据集的相关矩阵,并变换为逆矩阵;Construct the correlation matrix of the full system-level test data set and transform it into an inverse matrix;
将预测向量变换为转置矩阵;Transform the prediction vector into a transposed matrix;
采用逆矩阵、转置矩阵、真实响应向量和预测向量,确定对应的偏差系数;Using the inverse matrix, transposed matrix, true response vector, and predicted vector, determine the corresponding deviation coefficient;
计算偏差系数与预测向量之间的乘值;Calculate the multiplication between the deviation coefficient and the prediction vector;
计算全系统级试验数据集对应的真实响应向量和乘值之间的差值;Calculate the difference between the true response vector and the product value corresponding to the full system level test data set;
采用差值、相关矩阵和逆矩阵,确定偏差模型的最优线性无偏预测值;Using differences, correlation matrices, and inverse matrices, determine the optimal linear unbiased prediction value of the bias model;
在本发明实施例中,通过构建全系统级试验数据集对应的相关矩阵R1,其为N1×N1的相关矩阵R(xi,xj),进一步变换为逆矩阵。同时将预测向量变换为转置矩阵的形式采用逆矩阵、转置矩阵、真实响应向量和预测向量,确定对应的偏差系数其中,是全系统级试验的真实响应向量。In the embodiment of the present invention, the correlation matrix R 1 corresponding to the full system-level test data set is constructed, which is an N 1 ×N 1 correlation matrix R( xi , xj ), and is further transformed into an inverse matrix. At the same time, the prediction vector is transformed into a transposed matrix Use the inverse matrix, transposed matrix, true response vector and predicted vector to determine the corresponding deviation coefficient in, is the true response vector for full system level testing.
进一步地,计算偏差系数与预测向量之间的乘值,计算全系统级试验数据集对应的真实响应向量和乘值之间的偏差模型,得到结合相关矩阵和逆矩阵,确定偏差模型的最优线性无偏预测值其中,为未知样本与训练样本之间的相关向量。Furthermore, the multiplication value between the deviation coefficient and the prediction vector is calculated, and the deviation model between the actual response vector and the multiplication value corresponding to the full system-level test data set is calculated to obtain Combine the correlation matrix and the inverse matrix to determine the optimal linear unbiased predictor of the bias model Among them, is the correlation vector between the unknown sample and the training sample.
中间预测代理模型为:The intermediate prediction agent model is:
均方误差为:The mean square error is:
其中,为中间预测代理模型的预测响应值,ρn为偏差系数,为初始预测代理模型的预测响应值,为偏差模型的最优线性无偏预测值,MSEn(x)为均方误差,为未知样本与训练样本之间的相关向量,Rn为训练样本的Nn×Nn相关矩阵R(xi,xj), 是回归矩阵。in, is the predicted response value of the intermediate prediction agent model, ρn is the deviation coefficient, is the predicted response value of the initial prediction agent model, is the optimal linear unbiased prediction value of the bias model, MSE n (x) is the mean square error, is the correlation vector between the unknown sample and the training sample, Rn is the Nn × Nn correlation matrix R( xi , xj ) of the training sample, is the regression matrix.
S15、根据偏差模型的最优线性无偏预测值和偏差系数更新初始预测代理模型,生成中间预测代理模型;S15, updating the initial prediction proxy model according to the optimal linear unbiased prediction value and the deviation coefficient of the deviation model to generate an intermediate prediction proxy model;
进一步地,S15可以包括以下子步骤:Furthermore, S15 may include the following sub-steps:
采用偏差系数结合初始预测代理模型,加上偏差模型的最优线性无偏预测值,生成中间预测代理模型;The bias coefficient is combined with the initial prediction proxy model, and the optimal linear unbiased prediction value of the bias model is added to generate the intermediate prediction proxy model;
计算中间预测代理模型对应的均方误差;Calculate the mean square error corresponding to the intermediate prediction proxy model;
中间预测代理模型为:The intermediate prediction agent model is:
均方误差为:The mean square error is:
其中,x为代理模型的输入,为中间预测代理模型的预测响应值,ρn+1为偏差系数,为初始预测代理模型的预测响应值,为偏差模型的最优线性无偏预测值,MSEn+1(x)为均方误差,为未知的全系统级试验数据集与已知的全系统级试验数据集之间的相关向量,Rn+1为已知的全系统级试验数据集的Nn+1×Nn+1相关矩阵R(xi,xj),是回归矩阵。Among them, x is the input of the proxy model, is the predicted response value of the intermediate prediction agent model, ρ n+1 is the deviation coefficient, is the predicted response value of the initial prediction agent model, is the optimal linear unbiased prediction value of the bias model, MSE n+1 (x) is the mean square error, is the correlation vector between the unknown full-system-level test data set and the known full-system-level test data set, R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the known full-system-level test data set, is the regression matrix.
S16、判断是否存在未选取的全系统级试验数据集;S16, determining whether there is an unselected full system level test data set;
S17、若是,则将中间预测代理模型作为新的初始预测代理模型,跳转执行选取当前最小的保真度对应的全系统级试验数据集作为训练数据集的步骤;S17, if yes, use the intermediate prediction proxy model as a new initial prediction proxy model, and jump to the step of selecting the full system-level test data set corresponding to the current minimum fidelity as the training data set;
S17、若否,则将当前时刻的中间预测代理模型确定为目标预测代理模型。S17: If not, the intermediate prediction proxy model at the current moment is determined as the target prediction proxy model.
在本发明实施例中,在得到中间预测代理模型后,可以进一步判断是否存在未选取过的全系统级试验数据集,若是存在,则再次执行选取进行迭代更新,直至选取真实试验数据,也就是保真度为100%的全系统级试验数据集,若是不存在,则表明此时的中间预测代理模型已经完成了训练,可以将当前时刻的中间预测代理模型确定为目标预测代理模型。In an embodiment of the present invention, after obtaining the intermediate prediction proxy model, it is possible to further determine whether there is a full-system-level test data set that has not been selected. If so, the selection is performed again for iterative updating until the real test data, that is, the full-system-level test data set with a fidelity of 100%, is selected. If not, it indicates that the intermediate prediction proxy model at this time has completed training, and the intermediate prediction proxy model at the current moment can be determined as the target prediction proxy model.
在具体实现中,通过以下例子实现目标预测代理模型的构建:In the specific implementation, the construction of the target prediction agent model is realized through the following examples:
基于天线罩烧蚀电性能分析系统的全系统不同保真度仿真试验数据Dm,m=1,…,n,逐步建立代理模型Mn。Based on the full-system simulation test data D m , m=1,…,n of the radome ablation electrical performance analysis system with different fidelity, the proxy model M n is gradually established.
假设有n个保真度的全系统级的仿真实验(即具有不同精度的天线罩烧蚀电性能仿真分析系统),其试验保真度由低到高,D1,D2,...,Dn为对应的数据集。Assume that there are n full-system level simulation experiments with different fidelity (ie, antenna cover ablation electrical performance simulation analysis systems with different precisions), and the test fidelity is from low to high, and D 1 ,D 2 ,...,D n are the corresponding data sets.
1)建立代理模型M1与M0的融合框架;1) Establish a fusion framework of proxy models M1 and M0 ;
假设代理模型M1与M0之间服从如下的偏差模型:Assume that the proxy models M1 and M0 obey the following deviation model:
其中表示模型M1在变量x处的取值,表示步骤205所建立的模型M0在变量x处的取值,ρ1是偏差因子,z1(x)~GP(0,k1(.,.))是一个零均值的高斯过程,且 in represents the value of model M1 at variable x, represents the value of the model M 0 established in step 205 at the variable x, ρ 1 is the deviation factor, z 1 (x) ~ GP (0, k 1 (.,.)) is a zero-mean Gaussian process, and
基于所建立的代理模型M0,计算D1中输入数据的预测值 Based on the established surrogate model M 0 , calculate the predicted value of the input data in D 1
记向量进而获得偏差模型z1(x)的最优线性无偏预测(BLUP)的值为系数其中R1为训练样本的N1×N1相关矩阵R(xi,xj)。是回归矩阵,是全系统级试验的响应值。Remember the vector Then the best linear unbiased prediction (BLUP) value of the deviation model z 1 (x) is obtained as coefficient in R 1 is the N 1 ×N 1 correlation matrix R( xi , xj ) of the training samples. is the regression matrix, is the response value of the full system level test.
最终得到代理模型M1:其中:Finally, we get the proxy model M 1 : in:
2)融合全系统级实验数据D2与代理模型M1,建立代理模型M2:具体过程与1)相似。2) Integrate the whole system level experimental data D 2 with the proxy model M 1 to establish the proxy model M 2 : The specific process is similar to 1).
经过逐步融合不同试验精度的数据D3,D4,...,Dn,得到代理模型:After gradually integrating data D 3 , D 4 , ..., D n with different test accuracies, the proxy model is obtained:
基于天线罩烧蚀电性能分析系统的真实试验数据Dn+1,建立基于多源试验数据的代理模型Mn+1。Based on the real test data D n+1 of the radome ablation electrical performance analysis system, a proxy model M n+1 based on multi-source test data is established.
3)建立模型Mn+1与Mn的融合框架;3) Establish a fusion framework of models M n+1 and M n ;
假设模型Mn+1与Mn之间服从如下的偏差模型:其中:zn+1(x)~GP(0,kn+1(.,.))且利用已经训练好的代理模型Mn,计算预测数据集。Assume that the model Mn+1 and Mn obey the following deviation model: Among them: z n+1 (x)~GP(0,k n+1 (.,.)) and Using the trained proxy model M n , the prediction data set is calculated.
记向量进而获得偏差模型zn+1(x)的最优线性无偏预测(BLUP)的值为偏差因子其中Rn+1为训练样本的Nn+1×Nn+1相关矩阵R(xi,xj)。是回归矩阵,是真实试验的响应值。最终得到基于天线罩烧蚀电性能分析系统的多源试验数据的一致性代理模型 Remember the vector Then the best linear unbiased prediction (BLUP) value of the deviation model z n+1 (x) is obtained as Deviation Factor in R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the training samples. is the regression matrix, is the response value of the real test. Finally, the consistency proxy model of multi-source test data based on the antenna cover ablation electrical performance analysis system is obtained.
步骤207,当接收到天线罩的烧蚀输入参数时,通过目标预测代理模型进行响应预测,生成电磁性能预测响应值和预测误差。Step 207 , when receiving the ablation input parameters of the radome, performing response prediction through the target prediction agent model, and generating electromagnetic performance prediction response value and prediction error.
在本发明实施例中,在获取到天线罩烧蚀相应输入参数,也就是新的试验设计点x0,可以通过代理模型计算预测出其估计值为其预测误差(即不确定性)为In the embodiment of the present invention, after obtaining the input parameters corresponding to the radome ablation, that is, the new experimental design point x 0 , the estimated value thereof can be predicted by the proxy model calculation: Its prediction error (i.e. uncertainty) is
本发明使用平均绝对误差(MAE)和均方根误差(RMSE)来衡量代理模型的误差,具体定义如下:The present invention uses mean absolute error (MAE) and root mean square error (RMSE) to measure the error of the proxy model, which are specifically defined as follows:
首先对于热烧蚀阶段,输入变量为来流速度、来流静温、来流静压、表面粗糙度、材料密度、材料比热、表面辐射系数、导热系数和液层粘性系数,输出响应为烧蚀厚度和温度值,通过仿真软件对该阶段获得1000个试验点,使用高斯过程进行代理模型构建,最终使用另外400个试验点对该阶段代理模型进行验证,得到代理模型预测值与真实值之间的误差表如表1所示。First, for the thermal ablation stage, the input variables are the incoming flow velocity, incoming flow static temperature, incoming flow static pressure, surface roughness, material density, material specific heat, surface emissivity, thermal conductivity and liquid layer viscosity coefficient, and the output response is the ablation thickness and temperature value. 1000 test points are obtained for this stage through simulation software, and the proxy model is constructed using Gaussian process. Finally, another 400 test points are used to verify the proxy model for this stage, and the error table between the predicted value of the proxy model and the true value is shown in Table 1.
其次对于热透波阶段,输入变量为热烧蚀阶段的输出变量烧蚀厚度和温度值,再加上外部变量共同影响了反射系数与透射系数,通过仿真软件对该阶段获得600个试验点,使用高斯过程进行代理模型构建,最终使用另外200个试验点对该阶段代理模型进行验证,得到代理模型预测值与真实值之间的误差表如表1所示。Secondly, for the thermal wave transmission stage, the input variables are the output variables of the thermal ablation stage, the ablation thickness and temperature value, plus the external variables that jointly affect the reflection coefficient and the transmission coefficient. Through the simulation software, 600 test points were obtained for this stage, and the Gaussian process was used to build the proxy model. Finally, another 200 test points were used to verify the proxy model of this stage, and the error table between the predicted value of the proxy model and the true value was obtained as shown in Table 1.
表1基于子阶段试验数据构建关联代理模型误差表Table 1 Error table of the associated proxy model constructed based on sub-stage test data
最后再结合一组对全系统的仿真试验数据,将上述代理模型与其进行融合。得到代理模型预测值与真实值之间的误差表如表2所示:Finally, the above proxy model is integrated with a set of simulation test data of the whole system. The error table between the predicted value of the proxy model and the true value is shown in Table 2:
表2基于全系统级与子阶段关联代理模型的多保真度代理模型误差表Table 2 Error table of multi-fidelity proxy model based on full system level and sub-stage associated proxy model
从代理模型的误差来看,基于子阶段试验数据构建的关联代理模型具有足够高的精度,反映了本发明对天线罩烧蚀系统构建的关联代理模型方法的准确性;另外可以看到,基于不同来源试验数据构建的多保真度代理模型的误差相对更小,说明融合多源试验数据的多保真度代理模型方法的准确性和可靠性。Judging from the error of the proxy model, the associated proxy model constructed based on the sub-stage test data has a sufficiently high accuracy, reflecting the accuracy of the associated proxy model method for constructing the antenna cover ablation system of the present invention; in addition, it can be seen that the error of the multi-fidelity proxy model constructed based on test data from different sources is relatively smaller, indicating the accuracy and reliability of the multi-fidelity proxy model method that integrates multi-source test data.
请参阅图3,图3示出了本发明实施例的一种一致性代理模型的构建方法的步骤流程图。Please refer to FIG. 3 , which shows a flowchart of the steps of a method for constructing a consistency proxy model according to an embodiment of the present invention.
假设有n个保真度的全系统级的仿真实验(即具有不同精度的天线罩烧蚀电性能仿真分析系统),其试验数据精度由低到高,D1,D2,...,Dn为对应的数据集。Assume that there are n full-system-level simulation experiments with different fidelity (ie, antenna cover ablation electrical performance simulation analysis systems with different precisions), and the precision of the test data is from low to high, and D 1 ,D 2 ,...,D n are the corresponding data sets.
1)建立代理模型M1与M0的融合框架;1) Establish a fusion framework of proxy models M1 and M0 ;
假设代理模型M1与M0之间服从如下的偏差模型:Assume that the proxy models M1 and M0 obey the following deviation model:
其中表示模型M1在变量x处的取值,表示步骤301所建立的模型M0在变量x处的取值,ρ1是偏差因子,z1(x)~GP(0,k1(.,.))是一个零均值的高斯过程,且 in represents the value of model M1 at variable x, represents the value of the model M 0 established in step 301 at the variable x, ρ 1 is the deviation factor, z 1 (x) ~ GP (0, k 1 (.,.)) is a zero-mean Gaussian process, and
基于步骤205中所建立的代理模型M0,计算D1中输入数据的预测值 Based on the proxy model M 0 established in step 205 , the predicted value of the input data in D 1 is calculated
记向量进而获得偏差模型z1(x)的最优线性无偏预测(BLUP)的值为系数其中R1为训练样本的N1×N1相关矩阵。是回归矩阵,是全系统级试验的响应值。Remember the vector Then the best linear unbiased prediction (BLUP) value of the deviation model z 1 (x) is obtained as coefficient in R 1 is the N 1 ×N 1 correlation matrix of the training samples. is the regression matrix, is the response value of the full system level test.
最终得到代理模型M1:其中:Finally, we get the proxy model M 1 : in:
, ,
2)融合全系统级实验数据D2与代理模型M1,建立代理模型M2:具体过程与1)相似。2) Integrate the whole system level experimental data D 2 with the proxy model M 1 to establish the proxy model M 2 : The specific process is similar to 1).
经过逐步融合不同试验精度的数据D3,D4,...,Dn,得到代理模型:After gradually integrating data D 3 , D 4 , ..., D n with different test accuracies, the proxy model is obtained:
1)建立模型R(xi,xj).Mn+1.与Mn的融合框架;1) Establish the fusion framework of model R( xi , xj ).Mn +1 . and Mn ;
假设模型Mn+1与Mn之间服从如下的偏差模型:其中:zn+1(x)~GP(0,kn+1(.,.))且 Assume that the model Mn+1 and Mn obey the following deviation model: Among them: z n+1 (x)~GP(0,k n+1 (.,.)) and
利用已经训练好的代理模型Mn,计算预测数据集Using the trained proxy model M n , calculate the prediction data set
记向量进而获得偏差模型zn+1(x)的最优线性无偏预测(BLUP)的值为偏差因子其中Rn+1为训练样本的Nn+1×Nn+1相关矩阵R(xi,xj)。是回归矩阵,是真实试验的响应值。最终得到基于天线罩烧蚀电性能分析系统的多源试验数据的一致性代理模型其中Remember the vector Then the best linear unbiased prediction (BLUP) value of the deviation model z n+1 (x) is obtained as Deviation Factor in R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the training samples. is the regression matrix, is the response value of the real test. Finally, the consistency proxy model of multi-source test data based on the antenna cover ablation electrical performance analysis system is obtained. in
, ,
请参阅图4,图4示出了本发明实施例的一种飞行器的天线罩烧蚀电磁性能预测的步骤流程图。Please refer to FIG. 4 , which shows a flowchart of the steps of predicting electromagnetic performance of radome ablation of an aircraft according to an embodiment of the present invention.
步骤1:系统影响因素分析:对天线罩烧蚀电磁性能分析系统各阶段的影响因素进行分析。Step 1: Analysis of system influencing factors: Analyze the influencing factors at each stage of the radome ablation electromagnetic performance analysis system.
步骤2:获取试验数据:本发明考虑以下三类不同来源的试验数据,首先是不同子阶段分别进行仿真试验所产生的试验数据其中Yl 0表示系统整体的输入和输出,Wl 0表示中间层的输出;其次是对全系统的不同保真度仿真试验数据最后是全系统的真实试验数据(如果实际允许,如全程飞行试验)。Step 2: Obtaining test data: The present invention considers the following three types of test data from different sources. The first is the test data generated by simulation tests in different sub-stages. in Y l 0 represents the input and output of the system as a whole, W l 0 represents the output of the middle layer; secondly, the simulation test data of different fidelity of the whole system Finally, the real test data of the whole system (If actually permitted, such as a full flight test).
步骤3:代理模型的构建Step 3: Construction of proxy model
步骤301:基于天线罩烧蚀电性能分析系统的子阶段试验数据构建代理模型;Step 301: constructing a proxy model based on sub-stage test data of the radome ablation electrical performance analysis system;
步骤302:基于天线罩烧蚀电性能分析系统的全系统不同保真度仿真试验数据Dm,m=1,…,n,逐步建立代理模型Mn。Step 302: gradually establish a proxy model Mn based on the whole system different fidelity simulation test data Dm , m=1, ..., n of the radome ablation electrical performance analysis system.
1)建立代理模型M1与M0的融合框架;1) Establish a fusion framework of proxy models M1 and M0 ;
2)融合全系统级实验数据D2与代理模型M1,建立代理模型M2:具体过程与1)相似。2) Integrate the whole system level experimental data D 2 with the proxy model M 1 to establish the proxy model M 2 : The specific process is similar to 1).
步骤303:基于天线罩烧蚀电性能分析系统的真实试验数据Dn+1,建立基于多源试验数据的代理模型Mn+1。Step 303: Based on the real test data D n+1 of the radome ablation electrical performance analysis system, a proxy model M n+1 based on multi-source test data is established.
步骤4:使用所建立的代理模型对天线罩烧蚀系统的电性能进行计算预测Step 4: Use the established proxy model to predict the electrical performance of the radome ablation system
使用步骤3所建立的基于多源试验数据的天线罩烧蚀系统的电性能代理模型Mn+1,进行计算预测,并给出预测的不确定性。对于新的试验设计点x0,可以通过代理模型计算预测出其估计值为其预测误差(即不确定性)为 The electrical performance proxy model Mn +1 of the radome ablation system based on multi-source test data established in step 3 is used to perform calculations and predictions, and the uncertainty of the prediction is given. For the new test design point x0 , the estimated value can be calculated and predicted by the proxy model as Its prediction error (i.e. uncertainty) is
在本发明实施例中,通过获取烧蚀过程中热烧蚀和热透波两个子阶段的试验数据集和全系统级多个不同保真度的试验数据集;基于关联高斯代理模型方法,利用上述子阶段级数据集构建最低保真度代理模型;基于分层克里金方法,按照保真度从低到高逐步融合全系统级数据集,并迭代更新代理模型获得目标预测代理模型;当接收到天线罩烧蚀相应输入参数时,通过目标预测代理模型进行响应预测,得到天线罩对应的烧蚀电磁性能预测响应值和预测误差。从而基于多种来源的试验数据,更为精确地构建天线罩烧蚀对电磁性能影响的代理模型,进而实现天线罩烧蚀对电磁性能影响的快速预测。In the embodiment of the present invention, the test data sets of the two sub-stages of thermal ablation and thermal wave transmission in the ablation process and the test data sets of multiple different fidelity at the whole system level are obtained; based on the associated Gaussian proxy model method, the minimum fidelity proxy model is constructed using the above sub-stage level data sets; based on the stratified kriging method, the whole system level data sets are gradually integrated from low to high fidelity, and the proxy model is iteratively updated to obtain the target prediction proxy model; when the corresponding input parameters of the radome ablation are received, the response prediction is performed through the target prediction proxy model to obtain the corresponding ablation electromagnetic performance prediction response value and prediction error of the radome. Therefore, based on the test data from multiple sources, a proxy model of the influence of radome ablation on electromagnetic performance is more accurately constructed, thereby realizing the rapid prediction of the influence of radome ablation on electromagnetic performance.
请参阅图5,图5为本发明实施例三的一种飞行器的天线罩烧蚀电磁性能预测装置的结构框图。Please refer to FIG. 5 , which is a structural block diagram of a device for predicting electromagnetic performance of radome ablation of an aircraft according to a third embodiment of the present invention.
本发明还提供了一种高速飞行器天线罩烧蚀对电磁性能影响的预测装置,包括:The present invention also provides a device for predicting the influence of high-speed aircraft radome ablation on electromagnetic performance, comprising:
数据集获取模块501,用于获取高速飞行器的天线罩在烧蚀过程中的热烧蚀阶段试验数据集、热透波阶段试验数据集和多个不同保真度的全系统级试验数据集;The data set acquisition module 501 is used to acquire a test data set of a thermal ablation phase, a test data set of a thermal wave transmission phase, and a plurality of full-system level test data sets of different fidelity during the ablation process of the radome of the high-speed aircraft;
模型构建模块502,用于基于关联高斯代理模型方法,采用热烧蚀阶段试验数据集和热透波阶段试验数据集构建最低保真度的初始预测代理模型;A model building module 502 is used to build a minimum fidelity initial prediction proxy model based on a correlation Gaussian proxy model method using a thermal ablation phase test data set and a thermal wave transmission phase test data set;
模型更新模块503,用于基于分层克里金方法,按照保真度从低到高逐步融合全系统级试验数据集,并迭代更新初始预测代理模型,生成目标预测代理模型;The model updating module 503 is used to gradually fuse the whole system level test data set from low to high fidelity based on the stratified kriging method, and iteratively update the initial prediction proxy model to generate a target prediction proxy model;
预测模块504,用于当接收到天线罩的烧蚀输入参数时,通过目标预测代理模型进行响应预测,生成电磁性能预测响应值和预测误差。The prediction module 504 is used to perform response prediction through the target prediction agent model when receiving the ablation input parameters of the radome, and generate the electromagnetic performance prediction response value and prediction error.
可选地,模型构建模块502具体用于:Optionally, the model building module 502 is specifically used for:
当接收到确定性试验核函数时,采用高斯过程结合确定性试验核函数,分别构建热烧蚀阶段模型和热透波阶段模型;When the deterministic test kernel function is received, a Gaussian process is used in combination with the deterministic test kernel function to respectively construct a thermal ablation stage model and a thermal wave transmission stage model;
根据热烧蚀阶段模型和热透波阶段模型,采用关联高斯代理模型方法,构建不确定性传播关系式;According to the thermal ablation stage model and the thermal wave transmission stage model, the uncertainty propagation relationship is constructed by using the associated Gaussian proxy model method.
采用热烧蚀阶段试验数据集和热透波阶段试验数据集分别代入至不确定性传播关系式,计算响应方差与响应均值;The test data sets of thermal ablation stage and thermal wave penetration stage were substituted into the uncertainty propagation equation to calculate the response variance and response mean.
采用响应方差与响应均值,生成最低保真度的初始预测代理模型。The response variance and response mean are used to generate the lowest fidelity initial prediction surrogate model.
可选地,模型更新模块503包括:Optionally, the model updating module 503 includes:
偏差模型构建子模块,用于基于初始预测代理模型构建其与真实响应之间的偏差模型;A deviation model building submodule is used to build a deviation model between the initial prediction proxy model and the actual response based on the initial prediction proxy model;
数据集选取子模块,用于选取当前最小的保真度对应的全系统级试验数据集作为训练数据集;The data set selection submodule is used to select the full system-level test data set corresponding to the current minimum fidelity as the training data set;
预测向量计算子模块,用于通过初始预测代理模型计算训练数据集对应的多个预测响应值并构建预测向量;A prediction vector calculation submodule is used to calculate multiple prediction response values corresponding to the training data set through the initial prediction agent model and construct a prediction vector;
参数计算子模块,用于基于预测向量和全系统级试验数据集对应的真实响应向量,计算偏差模型的最优线性无偏预测值和偏差系数;A parameter calculation submodule is used to calculate the optimal linear unbiased prediction value and deviation coefficient of the deviation model based on the prediction vector and the real response vector corresponding to the full system level test data set;
模型更新子模块,用于根据偏差模型的最优线性无偏预测值和偏差系数更新初始预测代理模型,生成中间预测代理模型;The model updating submodule is used to update the initial prediction proxy model according to the optimal linear unbiased prediction value and the deviation coefficient of the deviation model to generate an intermediate prediction proxy model;
判断子模块,用于判断是否存在未选取的全系统级试验数据集;A judgment submodule, used to judge whether there is an unselected full system level test data set;
循环子模块,用于若是,则将中间预测代理模型作为新的初始预测代理模型,跳转执行选取当前最小的保真度对应的全系统级试验数据集作为训练数据集的步骤;a loop submodule, for, if yes, using the intermediate prediction proxy model as a new initial prediction proxy model, and jumping to the step of selecting a full-system-level test data set corresponding to the current minimum fidelity as a training data set;
模型确定子模块,用于若否,则将当前时刻的中间预测代理模型确定为目标预测代理模型。The model determination submodule is used to determine the intermediate prediction proxy model at the current moment as the target prediction proxy model if not.
可选地,参数计算子模块具体用于:Optionally, the parameter calculation submodule is specifically used for:
构建全系统级试验数据集的相关矩阵,并变换为逆矩阵;Construct the correlation matrix of the full system-level test data set and transform it into an inverse matrix;
将预测向量变换为转置矩阵;Transform the prediction vector into a transposed matrix;
采用逆矩阵、转置矩阵、真实响应向量和预测向量,确定对应的偏差系数;Using the inverse matrix, transposed matrix, true response vector, and predicted vector, determine the corresponding deviation coefficient;
计算偏差系数与预测向量之间的乘值;Calculate the multiplication between the deviation coefficient and the prediction vector;
计算全系统级试验数据集对应的真实响应向量和乘值之间的差值;Calculate the difference between the true response vector and the product value corresponding to the full system level test data set;
采用差值、相关矩阵和逆矩阵,确定偏差模型的最优线性无偏预测值。The optimal linear unbiased prediction value of the bias model is determined using the difference, correlation matrix and inverse matrix.
可选地,模型更新子模块具体用于:Optionally, the model updating submodule is specifically used for:
采用偏差系数结合初始预测代理模型,加上偏差模型的最优线性无偏预测值,生成中间预测代理模型;计算中间预测代理模型对应的均方误差;The deviation coefficient is combined with the initial prediction proxy model, and the optimal linear unbiased prediction value of the deviation model is added to generate an intermediate prediction proxy model; the mean square error corresponding to the intermediate prediction proxy model is calculated;
中间预测代理模型为:The intermediate prediction agent model is:
均方误差为:The mean square error is:
其中,x为代理模型的输入,为中间预测代理模型的预测响应值,ρn+1为偏差系数,为初始预测代理模型的预测响应值,为偏差模型的最优线性无偏预测值,MSEn+1(x)为均方误差,为未知的全系统级试验数据集与已知的全系统级试验数据集之间的相关向量,Rn+1为已知的全系统级试验数据集的Nn+1×Nn+1相关矩阵R(xi,xj),是回归矩阵。Among them, x is the input of the proxy model, is the predicted response value of the intermediate prediction agent model, ρ n+1 is the deviation coefficient, is the predicted response value of the initial prediction agent model, is the optimal linear unbiased prediction value of the bias model, MSE n+1 (x) is the mean square error, is the correlation vector between the unknown full-system-level test data set and the known full-system-level test data set, R n+1 is the N n+1 ×N n+1 correlation matrix R( xi , xj ) of the known full-system-level test data set, is the regression matrix.
所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述的装置、模块和子模块的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that, for the convenience and brevity of description, the specific working processes of the above-described devices, modules and sub-modules can refer to the corresponding processes in the aforementioned method embodiments and will not be repeated here.
在本发明所提供的几个实施例中,应该理解到,所揭露的装置和方法,可以通过其它的方式实现。例如,以上所描述的装置实施例仅仅是示意性的,例如,所述单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,例如多个单元或组件可以结合或者可以集成到另一个系统,或一些特征可以忽略,或不执行。另一点,所显示或讨论的相互之间的耦合或直接耦合或通信连接可以是通过一些接口,装置或单元的间接耦合或通信连接,可以是电性,机械或其它的形式。In the several embodiments provided by the present invention, it should be understood that the disclosed devices and methods can be implemented in other ways. For example, the device embodiments described above are only schematic. For example, the division of the units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.
所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部单元来实现本实施例方案的目的。The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
以上所述,以上实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围。As described above, the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.
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