CN115034145A - Hemming compact field reflecting surface optimization method based on genetic algorithm - Google Patents
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Abstract
The invention discloses a genetic algorithm-based hemming compact range reflecting surface optimization method, which comprises the following steps of: the method comprises the following steps: determining an optimization objective function; step two: determining two constraint conditions, wherein the two constraint conditions comprise the integral height of the reflector and the curvature radius of the mixed turn-up is larger than that of the mixed turn-up
，
The wavelength corresponding to the lowest working frequency; step three: selecting a mixing function, and step four: optimizing each curve parameter in the two-dimensional system, and performing the fifth step: and establishing a three-dimensional curved surface model. By optimizing the hemming parameters and introducing a genetic algorithm, and by jointly optimizing parameters such as a long axis of an ellipse, a short axis, a hemming parameter angle, a hemming height and the like, an optimal solution which enables diffraction at a connecting point to be minimum can be found out, the design efficiency can be greatly improved, a three-dimensional curved surface model is generated by mixing two-dimensional curves with different azimuth angles through a boundary, and the problem that the hemming compact field reflector antenna is difficult to design is solved.
Description
Technical Field
The invention belongs to the technical field of antenna design, and particularly relates to a hemming compact range reflecting surface optimization method based on a genetic algorithm.
Background
The compact field measurement method is one of the important means for antenna measurement, and it can obtain its electrical performance parameters by generating plane waves to irradiate the antenna to be measured, and in order to obtain more accurate test results, it is usually necessary to perform special treatment on the edge of the reflecting surface to reduce the influence of edge diffraction on the performance of the plane waves in the dead zone.
At present, the most common technical means include two methods of sawtooth edge processing and hemming edge processing, the sawtooth edge processing can effectively reduce the influence of diffracted waves on the performance of a quiet area, and essentially disperses and introduces clutter reaching the edge into the whole space, but the length of the sawtooth edge needs more than five times of the maximum working wavelength of an antenna, so that the aperture utilization rate of a reflector antenna is low, and a small part of stray waves introduced into each position of the space always reach the position of the quiet area, and the quality of plane waves is influenced. The proposed crimp effectively solves this problem with respect to compact field reflector antennas having a serrated edge, unlike the structure of the serrated edge, which provides a smooth attachment of the convex edge to the parabolic surface of the body portion, which effectively guides the creeping wave at the edge to the back of the reflector, and provides a sufficiently smooth attachment which results in a small diffraction field in the entire reflector. In addition, compared with other edge structures, the edge curling structure can greatly improve the aperture utilization rate of the single offset parabolic antenna. However, the design of the curved surface of the curled edge is difficult, and the edge curve needs to be optimized to minimize the diffraction field, so that a method for optimizing the reflecting surface of the curled compact field based on genetic algorithm, which is convenient for the design of the curved surface of the curled edge, needs to be provided.
Disclosure of Invention
The invention aims to provide a hemming compact field reflecting surface optimization method based on a genetic algorithm so as to solve the problems in the prior art.
In order to achieve the purpose, the invention provides the following technical scheme: a hemming compact range reflecting surface optimization method based on a genetic algorithm comprises the following steps:
the method comprises the following steps: determining an optimization objective function, specifically: determining the residual errors epsilon of the curvature radii at two sides of the connecting point as an optimization target, and in order to minimize a diffraction field generated at the connecting position of the mixed turned edge and the revolution paraboloid of the main body part, the connecting point is smooth and continuous, so that the residual errors of the curvature radii at two sides of the connecting point are used as the optimization target, and the smaller the value is, the smoother the curve is;
step two: determining two constraint conditions, namely, the integral height of the reflector, defining the integral size of the offset reflecting surface at the beginning of design, and determining the height of the reflector, and the curvature radius of the mixed hemming is required to be larger than that of the mixed hemming
，
The wavelength corresponding to the lowest working frequency;
step three: selecting a mixing function, specifically: calculating residual errors epsilon of curvature radii at two sides of the connecting point;
step four: optimizing each curve parameter in the two-dimensional system specifically comprises the following steps: encoding the independent variable in a given range, screening and optimizing the individual through iterative operation in a genetic algorithm, performing operation for more than 10 times, and repeatedly circulating the operation to obtain optimized reflecting surface edge curve parameters;
step five: establishing a three-dimensional curved surface model, which specifically comprises the following steps: and terminating the mixed hemming edge for curves with different azimuth angles by using the optimized curve parameters of the reflecting surface edge.
Preferably, in the first step, the size of the dead zone and the working frequency are determined to optimize the residual epsilon of the curvature radii at both sides of the connecting point, and the purpose of optimizing the residual epsilon of the curvature radii at both sides of the connecting point is to reduce the residual epsilon of the curvature radii at both sides of the connecting point.
Preferably, in the second step, the overall height of the reflector is constrained by using the overall dimension for defining the offset reflecting surface for the constraint of the overall height of the reflector.
Preferably, in the fourth step, the independent variables include an ellipse semimajor axis a, an ellipse semiminor axis b, a parabola extension length x for mixing hemming and a hemming parameter angle y, each group of independent variables is subjected to iteration operation in the genetic algorithm to obtain a next iteration point of the group of independent variables, residual errors epsilon of curvature radii at two sides of a connecting point are calculated, a target function obj is set, if the residual errors epsilon of curvature radii at two sides of the connecting point are less than the target function obj, the next step is carried out, if the residual errors epsilon of curvature radii at two sides of the connecting point are more than or equal to the target function obj, the group of independent variables are subjected to iteration operation in the genetic algorithm again, and the process is repeated until the residual errors epsilon of curvature radii at two sides of the connecting point are less than the target function obj.
Preferably, in the fifth step, the concave profile is used as a paraboloid main body, the whole curved surface is projected to be a square, a curve with phi =0-360 degrees is introduced into 3D modeling software, and a final three-dimensional curved surface model is generated by using boundary mixing.
Compared with the prior art, the invention has the beneficial effects that:
according to the method, by optimizing the hemming parameters and introducing a genetic algorithm, and by jointly optimizing parameters such as the long axis of an ellipse, the short axis, the hemming parameter angle, the hemming height and the like, the optimal solution which enables the diffraction at the connecting point to be minimum can be found out, the design efficiency can be greatly improved, the two-dimensional curves of different azimuth angles are used for generating a three-dimensional curved surface model through boundary mixing, and the problem that the hemming compact field reflector antenna is difficult to design is solved;
in the invention, the influence of a diffraction field on the performance of the quiet zone is minimized, the performance of the plane wave of the quiet zone is improved, and the aperture utilization rate of the quiet zone is increased.
Drawings
FIG. 1 is a schematic two-dimensional cross-sectional profile of a hybrid beaded reflective surface of the present invention;
FIG. 2 is a schematic view of the concave profile of the reflective surface body of the present invention;
FIG. 3 is a schematic diagram of a three-dimensional surface model according to the present invention;
FIG. 4 is a schematic illustration of a deadband center amplitude cut curve of the present invention;
FIG. 5 is a schematic representation of a dead band center phase pitch cut curve of the present invention;
FIG. 6 is a schematic flow chart of the operation of the present invention.
Detailed Description
The technical solution in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention.
A hemming compact range reflecting surface optimization method based on a genetic algorithm comprises the following steps:
the method comprises the following steps: determining an optimization objective function, in order to minimize a diffraction field generated at a joint of the mixed curling and the paraboloid of the main body part, a connecting point of the mixed curling and the paraboloid of the main body part is smooth and continuous as much as possible, so that a residual error of curvature radii at two sides of the connecting point is taken as an optimization objective, and a curve is smoother as the value of the residual error is smaller, referring to a two-dimensional section curve diagram of a reflecting surface of the mixed curling in fig. 1, wherein the curling part is formed by mixing an extending part of a parabola and an elliptic curve; in the drawings
Is composed of
Of a coordinate system
Direction, z is the abscissa direction, and the coordinates of the connecting point of the main part and the turned edge of the reflecting surface are
；
When in use
The equation for the reflecting surface is defined by the paraboloid of revolution shown by the following equation:
In the formula
Is the focal length of the paraboloid
The equation for the reflecting surface is given by the blending edge shown below:
In the formula (I), the compound is shown in the specification,
and
is a polar coordinate of the crimping portion,
the length of the parabolic extension is shown,γin order to turn the edge roll by a rotational angle,
is composed ofγThe maximum value of (a) is,
is an elliptical semi-major axis and is provided with a plurality of oval semi-major axes,
is an elliptical semi-minor axis and is provided with a plurality of elliptical semi-minor axes,
is a mixing function with a value range of [0,1 ]]I.e. by
，
. Coordinate transformation relation in formula
，
Is represented as follows:
And
Step two: a constraint is determined. The constraints mainly include two, one is that the overall height of the reflector, which usually defines the overall size of the offset reflecting surface at the beginning of the design, is also determined; secondly, the curvature radius of the mixed turned edge is required to be larger than
，
The wavelength corresponding to the lowest working frequency;
step three: selecting a mixing function, specifically: calculating the residual epsilon of the curvature radii at the two sides of the connecting point, and referring to fig. 1, the residual epsilon of the curvature radii at the two sides of the connecting point is expressed as:
In the formula (I), the compound is shown in the specification,
is a constant determined by the type of mixing function,
is the focal length of the lens, and is,nin order to solve for the order of curvature of the solution,kis the wave number;
step four: optimizing each curve parameter in the two-dimensional system specifically comprises the following steps: encoding the independent variable in a given range, screening and optimizing the individual through iterative operation in a genetic algorithm, performing operation for more than 10 times, and repeatedly circulating the operation to obtain optimized reflecting surface edge curve parameters;
referring to fig. 1 and 6, the independent variables include an ellipse semi-major axis a, an ellipse semi-minor axis b, a parabola extension length x for mixing the edge curling and an edge curling parameter angle y, each group of independent variables are subjected to iteration operation in the genetic algorithm to obtain a next iteration point of the group of independent variables, residual errors epsilon of curvature radii at two sides of a connecting point are calculated, an objective function obj is set, if the residual errors epsilon of the curvature radii at two sides of the connecting point are less than the objective function obj, the next step is carried out, if the residual errors epsilon of the curvature radii at two sides of the connecting point are more than or equal to the objective function obj, the group of independent variables are subjected to iteration operation in the genetic algorithm again, and the process is repeated until the residual errors epsilon of the curvature radii at two sides of the connecting point are less than the objective function obj;
step five: establishing a three-dimensional curved surface model, which specifically comprises the following steps: connecting the mixed hemming edge with the curve end with different azimuth angles by using the optimized edge curve parameter of the reflecting surface;
referring to fig. 2, the concave profile is used as a paraboloid main body, the whole curved surface is projected to be square, the curve with phi =0-360 degrees is imported into 3D modeling software, and a final three-dimensional curved surface model is generated by using boundary mixing, as shown in fig. 3.
Therefore, by using algorithm optimization, the design efficiency and the convenience can be greatly improved, through screening and common optimization of the individuals by using iterative operation in a genetic algorithm on parameters such as the long axis of the ellipse, the short axis, the curling parameter angle, the curling height and the like, the optimal solution which enables the diffraction at the connecting point to be minimum can be found, the influence of a diffraction field on the performance of a dead zone is reduced to be minimum, and the problem of difficult modeling of the curling reflecting surface is solved by using two-dimensional curves with different azimuth angles to generate a three-dimensional curved surface model through boundary mixing.
The effectiveness of the proposed optimization algorithm on the design of the hybrid hemming reflector is verified by obtaining amplitude phase data of the compact range antenna quiet zone position through irradiation of a feed horn as follows:
referring to fig. 4, a simulation result of the amplitude of the central plane wave of the quiet zone of the crimped compact range antenna designed by the invention is shown when the feed horn operates at 33 GHz;
referring to fig. 5, a phase simulation result of a dead zone center plane wave of the hemmed compact range antenna designed by the present invention is utilized when the feed horn operates at 33 GHz;
as can be seen from fig. 4 and 5, the present invention reduces the diffraction at the edge of the reflection surface and improves the performance of the plane wave in the dead zone by optimizing the curling parameters, thereby increasing the aperture utilization ratio in the dead zone.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the scope of the present invention.
Claims (5)
1. A hemming compact field reflecting surface optimization method based on a genetic algorithm is characterized by comprising the following steps:
the method comprises the following steps: determining an optimization objective function, specifically: determining a residual epsilon of curvature radii at two sides of the connecting point as an optimization target;
step two: determining two constraint conditions, wherein the two constraint conditions comprise the integral height of the reflector and the curvature radius of the mixed turn-up is larger than that of the mixed turn-up
，
The wavelength corresponding to the lowest working frequency;
step three: selecting a mixing function, specifically: calculating residual errors epsilon of curvature radii at two sides of the connecting point;
step four: optimizing each curve parameter in the two-dimensional system specifically comprises the following steps: encoding the independent variable in a given range, screening and optimizing the individual through iterative operation in a genetic algorithm, performing operation for more than 10 times, and repeatedly circulating the operation to obtain optimized reflecting surface edge curve parameters;
step five: establishing a three-dimensional curved surface model, which specifically comprises the following steps: and terminating the mixed hemming edge for curves with different azimuth angles by using the optimized curve parameters of the reflecting surface edge.
2. The hemming compact range reflecting surface optimization method based on genetic algorithm as claimed in claim 1, wherein: in the first step, the size of the dead zone and the working frequency are determined to optimize the residual epsilon of the curvature radii at two sides of the connecting point, and the purpose of optimizing the residual epsilon of the curvature radii at two sides of the connecting point is to reduce the residual epsilon of the curvature radii at two sides of the connecting point.
3. The hemming compact range reflecting surface optimization method based on genetic algorithm as claimed in claim 1, wherein: in the second step, aiming at the integral height constraint of the reflector, the integral size of the offset reflecting surface is limited to constrain the integral height of the reflector.
4. The method for optimizing the reflection surface of the hemming compaction field based on the genetic algorithm according to claim 1, wherein the method comprises the following steps: in the fourth step, the independent variables comprise an elliptic semi-major axis a, an elliptic semi-minor axis b, a parabola extension length x for mixing hemming and a hemming parameter angle y, each group of independent variables are subjected to iteration operation in the genetic algorithm to obtain a next iteration point of the group of independent variables, residual errors epsilon of curvature radii at two sides of a connecting point are calculated, a target function obj is set, if the residual errors epsilon of the curvature radii at two sides of the connecting point are less than the target function obj, the next step is carried out, if the residual errors epsilon of the curvature radii at two sides of the connecting point are more than or equal to the target function obj, the group of independent variables are subjected to iteration operation in the genetic algorithm again, and the process is repeated until the residual errors epsilon of the curvature radii at two sides of the connecting point are less than the target function obj.
5. The hemming compact range reflecting surface optimization method based on genetic algorithm as claimed in claim 1, wherein: and in the fifth step, the concave profile is used as a paraboloid main body, the whole curved surface is projected to be square, a curve with phi =0-360 degrees is led into 3D modeling software, and a final three-dimensional curved surface model is generated by using boundary mixing.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111208359A (en) * | 2020-02-06 | 2020-05-29 | 北京环境特性研究所 | Compact range reflecting surface side tooth and design method |
| CN113871893A (en) * | 2021-09-27 | 2021-12-31 | 中国电子科技集团公司第三十八研究所 | Method and device for reducing edge diffraction field intensity of curled reflecting surface antenna |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111208359A (en) * | 2020-02-06 | 2020-05-29 | 北京环境特性研究所 | Compact range reflecting surface side tooth and design method |
| CN113871893A (en) * | 2021-09-27 | 2021-12-31 | 中国电子科技集团公司第三十八研究所 | Method and device for reducing edge diffraction field intensity of curled reflecting surface antenna |
Non-Patent Citations (4)
| Title |
|---|
| INDER J.GUPTA,ET AL.: "A Method to Design Blended Rolled Edges for Compact Range Reflectors", 《IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION》 * |
| YONGQUAN JIANG,ET AL.: "A Modified Construction Method of Blended Rolled Edge and Its Application", 《PROGRESS IN ELECTROMAGNETICS RESEARCH C》 * |
| 李徐东 等: "一种高效率紧缩场天线的设计", 《2021年全国天线年会论文集》 * |
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