Interval Analysis Of Influence Of Uncertainty Factors Of Conformal Load-bearing Antenna On Electrical Performance

Conformal load-bearing antenna is a kind of antenna which can be conformal with the carrier and has the bearing capacity,but also achieves excellent electrical performance.It has a broad application prospect in the field of aviation and aerospace.With the development of conformal bearing array antenna towards high frequency band and high density,the demand of manufacturing precision is also increasing.Antenna produces the uncertain factors in the process of manufacturing,taking the microstrip patch antenna as example,such as the length and width of patch,the thickness of the dielectric substrate and the permittivity of dielectric material.These uncertain factors will cause the electrical performance to fluctuate in a interval,so it is necessary to expand the interval analysis to predict the effect of the uncertainty of the conformal load-bearing antenna on the electrical performance.The power pattern of the antenna by the product of the element factor and the array factor.This article starts from the basic array antenna radiating element of uncertainty perspective,first to study radiating element of uncertain factors influence on the antenna electrical performance.The second is the interval influence on the electric performance of the array with the uncertain factors of both the array element factor and the array factor.Finally,the interval study of the influence of the uncertain factors of the conformal load-bearing antenna on its electric performance is analyzed.Since it is difficult to obtain a large number of samples for statistical characteristics in the manufacturing process,and it is easy to obtain upper and lower bounds based on processing experience or machiningp accuracy.So the uncertain variables in the process are described as interval variables,and interval analysis is carried out according to the influence of variables on the electrical performance.The specific research work of this paper is as follows:(1)Aiming at the influence of the uncertain factors of the array antenna element on the electrical performance of the element antenna,the method of interval analysis is proposed.Taking the microstrip patch antenna as an example,in which the length and width of the patch,the thickness and the permittivity of the dielectric substrate are in the process of manufacturing errors.There are errors in both,so these four variables are used as interval variables,and interval models are established according to the classical formulas,and the interval analysis of resonance frequency and E/H pattern is performed using Matlab programming.The validity and feasibility of the interval analysis method are verified by experiments on the element patch antenna manufactured by 3D printing technology.(2)In view of the influence of the uncertain factors of the array antenna on the antenna pattern,the uncertain factors of the array antenna include the element factor and the array factor.Taylor expansion and matrix-based interval analysis methods are proposed and implemented in this study.Firstly,the influence of the uncertain factors of the element factor on the electrical performance of the array antenna is studied,and the pattern of the element factor is expanded by Taylor,in which the length of the patch L mainly affects the E pattern,and the width W mainly affects the H pattern.Secondly,the interval analysis of the uncertain factors of the array factor is discussed by using matrix method.Interval analysis of uncertain factors.Based on Taylor expansion and matrix-based interval analysis,an interval analysis model of the E/H pattern of the array antenna is established by uncertain factors.This method reduces the overestimation of interval and improves the accuracy of interval analysis.(3)Aiming at the influence of the uncertain factors on the electrical performance of conformal load-bearing antenna,the interval analysis method of calculating the real and imaginary parts of the power pattern is adopted.Taking the microstrip patch antenna as an example,in this paper,a sphere in a non-developable surface is selected.According to the geometric characteristics of the sphere,the space coordinates are used to analyze the influence of the spherical substrate radius on the power pattern of the array antenna.The effect of excitation amplitude and phase error on the interval of the pattern is also analyzed.The comparison with the Monte Carlo results shows that the uncertain factors of the conformal load-bearing antenna is feasible for the interval analysis of the spherical antenna.