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CN106229605B - A Precise Installation Method of Large Phased Array Antenna Based on Mathematical Modeling - Google Patents

A Precise Installation Method of Large Phased Array Antenna Based on Mathematical Modeling Download PDF

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Publication number
CN106229605B
CN106229605B CN201610509674.3A CN201610509674A CN106229605B CN 106229605 B CN106229605 B CN 106229605B CN 201610509674 A CN201610509674 A CN 201610509674A CN 106229605 B CN106229605 B CN 106229605B
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antenna
installation
point
star
axis
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CN106229605A (en
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蔡亚宁
张庆君
刘杰
何德华
肖刚
肖鹏飞
张妍
陈恩涛
马健
王涛
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Beijing Institute of Spacecraft System Engineering
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Beijing Institute of Spacecraft System Engineering
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q1/00Details of, or arrangements associated with, antennas
    • H01Q1/12Supports; Mounting means
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16ZINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS, NOT OTHERWISE PROVIDED FOR
    • G16Z99/00Subject matter not provided for in other main groups of this subclass

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Abstract

The invention discloses a kind of accurate installation method of massive phased array antenna based on mathematical modeling is suitable for large scale, the demanding single-blade of installation accuracy or double-vane massive phased array antenna is precisely installed and commissioning, belongs to microwave remote sensing totality general assembly design field.The method comprising the steps of: (1) establishing celestial body coordinate system;(2), accurate adjustment celestial body posture;(3) coordinate of installation point on antenna and celestial body is measured;(4) founding mathematical models calculate adjustment gasket;(5) gasket is added according to calculated result and antenna is installed;(6) measurement plane is comprehensive is directed toward, and corrects gasket.It repeats to try to gather the problem of adjustment influences the traditional thread binding star precision in day and efficiency the invention avoids massive phased array antenna, has many advantages, such as that engineering exploitativeness is strong, installation accuracy easily guarantees, reduces adjustment and accurate measurement number, raising installation effectiveness.

Description

A kind of accurate installation method of massive phased array antenna based on mathematical modeling
Technical field
The invention belongs to microwave remote sensing totality general assembly design fields, and in particular to a kind of large size based on mathematical modeling is phased The accurate mounting technique implementation method of array antenna, main application direction are large scale, the demanding massive phased array day of installation accuracy Line is precisely installed and commissioning.
Background technique
Recently as the rapid development of spacecraft payload technology, (single-blade length is greater than 5 to massive phased array antenna Rice, Planar Phased Array Antenna of the double-vane length greater than 10 meters or diameter are greater than 10 meters of parabola antenna) due to its high-resolution, The characteristics such as multipolarization, multiple-working mode have obtained more and more applications in microwave remote sensing field, and still, high-quality is defended Star picture quality also proposes higher requirement to the installation accuracy of massive phased array antenna.
The installation accuracy of massive phased array antenna mainly includes that comprehensive flatness R (unit: mm) and comprehensive direction N is unfolded (vector, including three orientation angles), the realization of this two precision indexs not only rely on aerial radiation front itself adjustment precision With antenna deployment mechanism itself adjustment precision, the commissioning precision during antenna and celestial body general assembly is also relied on, or even is only passed through General assembly link carries out accurate commissioning to the whole span open state of massive phased array antenna, can obtain the comprehensive flatness of the expansion needed And specifically integrate pointing accuracy.
Currently, the satellite borne equipment adjustment process for having installation accuracy to require generally uses traditional during satellite assembly Mode is gathered in artificial examination.Its main flow is: installing equipment first, tightens mounting screw, then utilizes accurate measurement equipment (theodolite Deng) measuring device installation site, angle precision, if being unsatisfactory for required precision, accurate measurement personnel are according to measurement experience in established angle position Increase adjustment gasket is set, accurate measurement equipment is recycled to re-measure, after commissioning repeatedly, until precision of equipment installation satisfaction is wanted It asks.Such methods have the disadvantage in that
1) such method is just for small device (equipment of length or radius less than the 5 meters) adjustment for having installation accuracy to require Process, mounting surface need to be single, and the position that established angle increases adjustment gasket need to be simple to operation, and at present for complexity mounting surface The dress star method of massive phased array antenna there is no referential experience at home;
If 2) such method is once assembled not in place, on the one hand trial and adjustment repeatedly can cause equipment to install interface Deformation and interface precision reduction, on the other hand also result in the reduction of equipment installation effectiveness, comprehensive plane be unfolded for having For the large-scale Planar Phased Array Antenna of degree and comprehensive pointing accuracy requirement, examination repeatedly is gathered each time, can all be brought biggish Workload, and gather only with artificial experience examination, the accurate installation accuracy of requirement may not necessarily be reached.
Patent name is that " SAR days line automation accurate measurement methods of satellite large scale planar array " has pertained only to large scale plane The automation accurate measurement of array SAR antenna, the fitting algorithm including antenna array flatness and plane normal, but the patent are only managed By calculating, the installation of large-scale Planar Phased Array Antenna cannot be accurately instructed according to precision measure data.
Summary of the invention
Technology of the invention solves the problems, such as: traditional artificial experience examination being overcome to gather, repeat commissioning equipment Installation Modes not Foot provides a kind of accurate installation method of massive phased array antenna being suitble to complicated mounting surface, this method accurate measurement before filling star Mathematical model is converted by the commissioning process of massive phased array antenna on the basis of data, calculates adjustment gasket addition scheme, Gasket is added according to calculated result, massive phased array antenna is avoided and repeats examination and gather adjustment to influence the traditional thread binding star precision in day and efficiency Problem.
The technical solution of the invention is as follows: a kind of accurate installation method of massive phased array antenna based on mathematical modeling, This method includes the following steps:
(1), celestial body coordinate system is established, the celestial body coordinate system coordinate origin O is the central point of satellite and the rocket parting surface, and X-axis is just Direction is satellite flight direction, and Z axis positive direction is that direction, Y-axis positive direction and X0Z plane meet right-hand law over the ground;
(2), the mounting surface on celestial body is gone to and docks orientation with phased array antenna, accurate adjustment celestial body posture makes bowing for celestial body Three peaces facing upward, rock, yawing three direction postures and celestial body coordinate system X-axis, Y-axis, the angular error of Z axis less than 0.1, on celestial body The deviation for decorateeing Y axis coordinate value and system requirements is less than 0.1mm;
(3), three installation points are constructed in three installation points and celestial body of antenna in celestial body mounting surface and antenna mounting surface The projected triangle of public vertical plane, using the method for plane geometry, Analytic triangular function, which solves each installation point position, needs increased tune Whole spacer thickness;
(4) calculated result obtained according to step (3) adds corresponding adjustment at three installation points of massive phased array antenna Antenna is mounted on celestial body by gasket;
(5) the comprehensive direction Nt0 of antenna array plane after antenna is mounted on celestial body by measurement, solves antenna array method The angle of line and celestial body coordinate system X-axis, Y-axis and Z axis judges the absolute value of the difference for the angle that three angles and system requirements reach Whether being entirely below preset thresholding entirely below then terminates antenna installation process, otherwise, is transferred to step (6);
(6) difference of the angle reached when antenna array normal with corresponding celestial body coordinate system reference axis angle and system requirements For+Δ, Δ is positive number, reduces corresponding installation point spacer thickness, and the difference of angle is-Δ, and Δ is positive number, increases corresponding installation point pad Piece thickness;
(7) step (5)~step (6) are repeated until the angle of antenna array normal and celestial body coordinate system X-axis, Y-axis and Z axis The absolute value of the difference of the angle reached with system requirements is entirely below preset thresholding.
The phased array antenna docking orientation is located at satellite flight direction, i.e. X-axis positive direction or X-axis negative direction.
When two phased array antenna of installation on celestial body, when antenna docking orientation is respectively X-axis positive direction and X-axis negative direction, This method comprises the following steps:
Firstly, according to above-mentioned steps (1)~step (7), respectively by the phased array antenna docking orientation replacement in step (2) For X-axis positive direction and X-axis negative direction, X-axis two phased array antenna of positive negative direction are mounted on celestial body;
Then, the comprehensive synthesis flatness Rt for being directed toward Nt and whole wing antenna of whole wing antenna array plane is measured;
Finally, judging whether the synthesis flatness Rt of the comprehensive direction Nt of whole wing antenna array plane or whole wing antenna is less than The deviation range of system requirements, any one are unsatisfactory for requiring, then continue adjust two sides installation gasket height, until two simultaneously It meets the requirements, i.e. the dress star work of completion double side wings antenna.
Above-mentioned steps (3) construct three installation points in three installation points and celestial body of antenna and pacify in celestial body mounting surface and antenna The projected triangle of the public vertical plane in dress face, using the method for plane geometry, Analytic triangular function solves each installation point position and needs to increase The detailed process of the adjustment spacer thickness added are as follows:
(3.1), coordinate value of three installation points of antenna under adjustment shim-like state under celestial body coordinate system is not added in measurement A1(xa1,ya1,za1)、B1(xb1,yb1,zb1)、C1(xc1,yc1,zc1) and its fit Plane direction N1 (cos α 1, cos β 1, Cos γ 1) and celestial body on correspond to installation point coordinate value A2 (xa2,ya2,za2)、B2(xb2,yb2,zb2)、C2(xc2,yc2,zc2) and Its fit Plane is directed toward N2 (cos α 2, cos β 2, cos γ 2);
(3.2), antenna mounting surface and celestial body installation are projected towards its public affairs vertical plane M, antenna installation point A1, B1, C1 Projection on plane M obtains the subpoint of subpoint A1', B1', C1' and celestial body installation point in the plane, by celestial body installation point Subpoint in the plane translates to obtain A2', B2', C2', and it is one that two installation point A2' for keeping distance nearest are overlapped with A1' Point eliminates the public difference in height of A1 and A2, B1 and B2 and C1 and C2, obtains projected triangle A1'C1'C2';
(3.3), defining the antenna installation maximum installation point of interplanar distance is C1, and C1 point addition adjustment gasket is with a thickness of hC= 0, do not need addition gasket;
(3.4), calculate projected triangle ∠ C1'A1'C2' value α ', α '=α, α be celestial body mounting plane be directed toward N1 and Antenna mounting plane is directed toward the vector angle of N2, its calculation formula is:
(3.5), according to the coordinate value of three installation points of celestial body, linear vector A2B2, A2C2 are calculated;Wherein, A2B2 vector ForA2C2 vector is
(3.6), the angle theta between A2B2 and A2C2 and public vertical plane M is calculated1And θ2, it is obtained by vector angle formula:
(3.7) the projected length S of installation point linear vector A2B2, A2C2 on public vertical plane M on celestial body mounting surface is defined1With S2, calculate in projected triangle according to the following formula | A2'B2' | and | A2'C2' |:
|A2'B2' |=S1=| A2B2|×sinθ1, | A2'C2' |=S2=| A2C2|×sinθ2
(3.8) A1 point addition adjustment gasket is calculated with a thickness of d1=hA=| A2'C2' | × tg α ', B1 point adds adjusting pad Piece thickness are as follows: hB=hA-h1=(| A2'C2'|-|A2'B2'|)×tgα'。
Above-mentioned steps (7) installation point being adjusted is determined by following principle: when B1, C1 are while being mounted on antenna array When the installation point in face, when the difference of angle that the angle and system requirements of antenna array normal and celestial body coordinate system X-axis reach When absolute value is more than pre-determined threshold, then the antenna installation point at A1 is adjusted;When the folder of antenna array normal and celestial body coordinate system Z axis When the absolute value of the difference for the angle that angle and system requirements reach is more than pre-determined threshold, then the antenna installation point at B1 or C1 is adjusted.
Above-mentioned steps (7) the spacer thickness adjustment amount h increased or decreasedAdjustment amountAre as follows:
hAdjustment amount=tg (Δ) × L
When be adjusted installation point be A1 when, L be A1D1 distance, when be adjusted installation point be B1 or C1 when, L be B1D1 or The distance of C1D1;D1 is the intersection point that A1 makees vertical line to B1C1.
Above-mentioned massive phased array antenna is parked on air floating table (5) by gas foot (6), passes through gas foot (6) and air floating table (5) Realize the installation of phased array antenna zero-g.
Compared with the prior art, the invention has the advantages that:
1) engineering exploitativeness of the present invention is strong, can use the trend of accurate measurement instrument test and data analysis dress star result, By mathematical model calculate analysis and regulation gasket add scheme, compared to artificial experience examination gather with more adjustment directionality and effectively Property.
2) inventive antenna installation accuracy easily guarantees, is analyzed using the calculating of mathematical model, and dress star precision may make to have Target value is most reached or approached fastly in the commissioning number of limit, according to verification experimental verification, the double side wings large size planar phased array of length 15m Antenna, can an adjustment in place, and it is unfolded comprehensive flatness and reaches 3mm, and comprehensive pointing accuracy reaches 0.02 °.
3) inventive antenna installation effectiveness is high, and according to practical dress satellite experiment verifying, the adjustment spacer thickness of calculating most fastly may be used In place by adjustment of antenna, reduce adjustment number, improve dress star efficiency.In addition, if adjustment of antenna is not in place, it can Gasket amendment is adjusted using amendment scheme of the invention and adjustment amount calculates, and is avoided the blindness for manually trying to gather, is made to fill Tune trend is quickly restrained to anticipated orientation.
4) present invention realizes the installation of phased array antenna zero-g by gas foot and air floating table, and gas foot and air floating table realize antenna The mount scheme of zero-g its advantage is that succinct easy to operate, as long as air floating table plane precision be adjusted to 80 μm/10m hereinafter, Meet antenna zero-g installation requirement;In addition, because antenna array also has the connecting cable that need to enter in celestial body cabin, and air bearing is flat Degasification foot is outer without other auxiliary equipment on platform, avoids such as expansion hanger zero-g mode bring cable hooking risk, right The installation and expansion of phased array antenna provide important equipment guarantee.
5) double-vane antenna is needed the comprehensive flatness of waveguide front to be achieved to be also included in evaluation variable by the present invention, is also suitable The dress star of double side wings massive phased array antenna.
Detailed description of the invention
Fig. 1 (a) is the accurate installation method flow chart of single-blade of embodiment of the present invention massive phased array antenna
Fig. 1 (b) is the accurate installation method flow chart of double-vane of embodiment of the present invention massive phased array antenna;
Fig. 2 is celestial body of the embodiment of the present invention and aerial position relational graph;
Fig. 3 is that front of embodiment of the present invention target point pastes position view;
Fig. 4 (a) is two mounting surface intersection L of the embodiment of the present invention and two mounting surface normal vector location diagrams;
Fig. 4 (b) is that celestial body of the embodiment of the present invention is installed towards public vertical plane M projected position relational graph;
Fig. 4 (c) is that two mounting surface of the embodiment of the present invention projects location diagram on public vertical plane M;
Fig. 4 (d) is antenna of embodiment of the present invention installation point to respective coordinates wheelbase from calculating schematic diagram.
Specific embodiment
The present invention will be further described in the following with reference to the drawings and specific embodiments.
By taking certain satellite system massive phased array antenna installation process as an example, it is known that corresponding three mounting surface central points on celestial body The coordinate position of system requirements is A (xa, ya, za), B (xb, yb, zb), C (xc, yc, zc), the system massive phased array antenna The synthesis flatness R0 (unit: mm) and comprehensive direction N0={ cos α, cos β, cos γ } that accurate installation requirement reaches, the exhibition It opens comprehensive flatness and refers to target point by the accurate measurements equipment scanning antenna front such as laser radar, obtained fit Plane degree; It is comprehensive to be directed toward the target point for referring to scanning antenna front, three angular separation groups of obtained fit Plane normal and celestial body coordinate system At vector N0={ cos α, cos β, cos γ }, it is desirable that meet after the traditional thread binding star in day: α=0 ° ± 0.1 °;β=90 ° ± 0.1 °;γ =90 ° ± 0.1 °.
Fig. 1 is that the present invention is based on the accurate installation method flow charts of the phased array antenna of mathematical modeling, wherein Fig. 1 (a) is single The accurate installation method flow chart of wing massive phased array antenna, Fig. 1 (b) are the accurate installation method process of double-vane massive phased array antenna Figure.
One, specific step is as follows for the accurate installation method of single-blade massive phased array antenna:
Step 1 establishes celestial body coordinate system, and the celestial body coordinate system coordinate origin O is the central point (load of satellite and the rocket parting surface The central point of cylinder lower end frame), X-direction is satellite flight direction, and Z-direction is that direction, Y-direction and the face X0Z meet the right hand and determine over the ground Rule.
In order to which coordinate, comprehensive flatness and synthesis of the installation point under celestial body coordinate system refer on accurate measurement celestial body and on antenna To etc., need the theoretical installation site according to known massive phased array antenna 1 under celestial body coordinate system, installation celestial body benchmark essence Cross prism square 4, antenna frame accurate measurement cross prism square 2, antenna target point 8 and public target ball point 7 are surveyed, and establishes laser radar Transformational relation between coordinate system, laser tracker coordinate system and co-ordinates of satellite system.
The establishment process of coordinate transformation relation is as follows:
(1) as shown in Fig. 2, massive phased array antenna 1 is parked on air floating table 5 by gas foot 6, passes through gas foot 6 and gas Floating platform 5 realizes the installation of phased array antenna zero-g.
(2) celestial body benchmark accurate measurement cross prism square, antenna frame accurate measurement cross prism square, antenna target point and public are installed Target ball point.
A, celestial body benchmark accurate measurement cross prism square is installed on the position that accurate measurement is convenient, is not susceptible to celestial body deformation, be used for Reflect celestial body posture.
Such as: the loaded cylinder lower end frame neighbouring position as shown in serial number 4 in attached drawing 2, structure is unlikely to deform herein, will not It generates and blocks because of the installation of antenna.
B, antenna frame accurate measurement cross prism square is installed on accurate measurement conveniently, is not susceptible to the position of antenna deformation, it can benefit It is measured before and after the traditional thread binding star in day with theodolite, for the direction variation before and after the qualitative reflection rack-mounted star of antenna frame, to laser The accurate measurement data of radar play the role of auxiliary interpretation.
Such as: the antenna frame lower end position as shown in serial number 2 in attached drawing 2 is unlikely to deform herein for antenna and not by star The position that body blocks.
C, antenna target point is uniformly pasted on antenna array, quantity is enough to reflect the flatness of antenna array and comprehensive Close pointing accuracy.
Such as: as shown in serial number 8 in attached drawing 3, to guarantee that antenna target point reflects the accuracy of antenna plane degree, paste close Degree is not less than 18/m2
D, public target ball point is pasted on air floating table and ground, it is common by theodolite, laser radar and laser tracker Three-dimensional point coordinate of the public target ball central point under celestial body coordinate system is obtained, establishes laser radar coordinate system, laser tracker is sat Transformational relation between mark system and celestial body coordinate system.
Such as: as shown in serial number 7 in attached drawing 2, public target ball point at 3 is pasted on air floating table, has been pasted at 2 on the ground Public target ball point should paste the public target ball point at no less than 4, and cannot be located at 4 points for the accuracy for guaranteeing coordinate system conversion On same plane.
(3) all accurate measurement data will be converted to uniformly relative to the data under celestial body coordinate system in the present invention.It is specific to sit Mark conversion is realized by following steps:
1) 3 theodolites are set up, the prism square (serial number 4 in attached drawing 2) that celestial body coordinate system is characterized on satellite is measured, And the target ball on public target ball pedestal is measured, it obtains three-dimensional point of the public target ball central point under celestial body coordinate system and sits Mark;
2) suitable position sets up simultaneously fixed laser radar measurement system immediately ahead of air floating table, makes the target on all fronts Point can measure the target on public target ball pedestal using the target ball measurement function of laser radar in the measurement range of laser radar Ball obtains public target ball central point in the three-dimensional point coordinate of laser radar coordinate system;
3) beside laser radar set up and fixed laser tracker, make celestial body mounting surface and antenna mounting surface laser with In track instrument measurement range, the target ball on public target ball pedestal is measured using the target ball measurement function of laser tracker, is obtained public Three-dimensional point coordinate of the target ball central point in laser tracker coordinate system altogether;
4) it is converted by public target ball point, establishes laser radar coordinate system, laser tracker coordinate system and co-ordinates of satellite system Transformational relation.
Step 2 installs preceding celestial body posture accurate adjustment:
Before the installation of massive phased array antenna, the accurate adjustment of celestial body posture is carried out, the mounting surface on celestial body is gone to and phased array Antenna docks orientation, using theodolite accurate adjustment celestial body posture, makes the pitching of celestial body, rocks, yaws three direction postures and celestial body seat Mark system X-axis, Y-axis, the angular error of Z axis are less than 0.1 °, it is desirable that three installation point heights (Y-direction coordinate value) are wanted with system on celestial body Height (Y-direction coordinate value) is asked to be less than 0.1mm.
Step 3, mounting surface precision measure:
It (is not added under adjustment shim-like state) before the installation of massive phased array antenna, is utilized respectively laser tracker and takes a little Coordinate value A1 (xa of the method to tri- installation points of A1, B1, C1 on antenna1,ya1,za1)、B1(xb1,yb1,zb1)、C2(xc1, yc1,zc1) and fit Plane be directed toward the coordinate value A2 (xa of corresponding A 2, B2, C2 installation point on (N1) and celestial body2,ya2,za2)、 B2(xb2,yb2,zb2)、C2(xc2,yc2,zc2) and fit Plane direction (N2) progress precision measure, and utilize public target ball point It is scaled to celestial body coordinate system, obtaining two vectors and each reference axis angle of celestial body coordinate system is respectively α 1, β 1, γ 1;α 2, β 2, γ2。
Corresponding A2, B2, C2 are really installed in engineering on three installation points A1, B1, C1 and celestial body on antenna Face, for 5 meters or more of massive phased array antenna, the mounting surface of outer dimension 10mm~20mm may be considered installation Point, and each mounting surface is formed by machine tooling, flatness is in 0.1mm hereinafter, therefore, for the letter for measuring and calculating Change, each mounting surface is replaced by screw mounting hole central point a certain near the central point in respective face, it is desirable that antenna mounting surface With the installation point position consistency chosen on celestial body.
At this point it is possible to be directed toward data using transit survey antenna frame accurate measurement cross prism square and record, it is used for and day Prism square after traditional thread binding star, which is directed toward, carries out data comparison.
Step 4, the calculating for adjusting gasket:
As shown in Fig. 3, three installation points for defining antenna are physical location, and it is target position that installation point is corresponded on celestial body It sets, has obtained position installation point coordinate value A1 (xa to be adjusted in step 31,ya1,za1)、B1(xb1,yb1,zb1)、C2 (xc1,yc1,zc1) and target position installation point coordinate value A2 (xa2,ya2,za2)、B2(xb2,yb2,zb2)、C2(xc2,yc2, zc2), using plane geometry method, target position and physical location are constructed in the projected triangle of its public vertical plane, passes through triangle letter Number relationship, which solves each mounting surface position, needs increased adjustment gasket thickness hA、hB、hC, specific calculating process is as follows:
(1) assume in celestial body mounting surface A2B2C2, A2 point is minimum point, and celestial body mounting surface A2B2C2 is translated, A2 is made Point is overlapped with A1 point, and the normal vector N2 of the normal vector N1 of antenna mounting surface and celestial body mounting surface is moved at A2 point, then day The intersection of line mounting surface A1B1C1 and celestial body mounting surface A2B2C2 were A2 point and the straight line L perpendicular to N1 and N2, such as attached drawing 4 (a) shown in;Antenna mounting surface normal vector N1 and celestial body mounting surface normal vector N2 constitutes plane M, and plane M is antenna mounting surface The public vertical plane of A1B1C1 and celestial body mounting surface A2B2C2.Antenna mounting surface and celestial body installation are projected towards its public affairs vertical plane M, Projection on antenna installation point A1, B1, C1 plane M obtains the throwing of subpoint A1', B1', C1' and celestial body installation point in the plane Shadow point translates the subpoint of celestial body installation point in the plane to obtain A2', B2', C2', two installation points for keeping distance nearest It is a point that A2' is overlapped with A1', eliminates the public difference in height of public A1 and A2, B1 and B2 and C1 and C2, finally obtains attached drawing Projected triangle A1'C1'C2' shown in 4 (c).
(2) assume antenna mounting surface and the celestial body installation maximum installation point of interplanar distance is C1, C1 point addition adjustment gasket is thick Degree are as follows: hC=0, addition gasket is not needed, installation point A1, B1 on antenna need to be only raised to and stellar target position projection line It is parallel.
(3), value α ', α '=α of the ∠ C1'A1'C2' of projected triangle is calculated, α is that celestial body mounting plane is directed toward N1 and day The vector angle of line mounting plane direction N2.
According to laser tracker precision measure as a result, using N1 and N2 vector relations founding mathematical models, solution do not add Add the vector angle α of N1 and N2 under adjustment shim-like state.
If angle is α between two vector N1={ cos α 1, cos β 1, cos γ 1 } and N2={ cos α 2, cos β 2, cos γ 2 }, Utilize angle formulae between two vectors:
Antenna mounting surface can be found out and be directed toward N1 and vector angle α of the celestial body mounting surface N2 in non-mounting and adjusting gasket.
(4) according to the coordinate value of celestial body installation point, linear vector A2B2, A2C2 are calculated;Wherein, A2B2 vector isA2C2 vector is
(5), the angle theta between A2B2 and A2C2 and public vertical plane M is calculated1And θ2, it is obtained by vector angle formula:
(6) such as geometrical relationship in attached drawing 4 (b) figure, installation point linear vector A2B2 on celestial body mounting surface is defined, A2C2 is in public affairs Projected length S on vertical plane M1And S2, calculate in projected triangle according to the following formula | A2'B2' | and | A2'C2' |:
|A2'B2' |=S1=| A2B2|×sinθ1, | A2'C2' |=S2=| A2C2|×sinθ2
(7) A1 point addition adjustment gasket is calculated with a thickness of d1=hA=| A2'C2' | × tg α '=S2The addition of × tg α ', B1 point Gasket is adjusted with a thickness of hB=hA-h1=(| A2'C2'|-|A2'B2' |) × tg α '=(S2-S1)×tgα'。
Step 5, the calculated result obtained according to step 4 add corresponding adjustment at three installation points of massive phased array antenna Antenna is mounted on celestial body by gasket.Meanwhile it can use transit survey antenna frame accurate measurement cross prism square and being directed toward data And record, data comparison is carried out for being directed toward with the prism square before the traditional thread binding star in day, judges that the traditional thread binding star in day subsequently points to variation tendency.If It is consistent with the variation tendency for being expected to reach that prism square is directed toward variation tendency, then can determine that adjustment gasket mount scheme is effective, if not Unanimously, then it needs to re-start step 3 and step 4.
Step 6 is directed toward Nt0 using the antenna array target point plane after the traditional thread binding star in laser radar accurate measurement day is comprehensive, solves The angle of antenna array normal and celestial body coordinate system X-axis, Y-axis and Z axis, judge angle that three angles and system requirements reach it Whether absolute value of the difference, which is entirely below preset thresholding, entirely below then terminates antenna installation process, otherwise, is transferred to step (7)。
Step 7, adjustment gasket add revision of option.
It is large-scale during actually dress star and accurate measurement since computation model is established under pure rigid ideal conditions Phased array antenna and celestial body posture can still have the case where a small amount of stress deformations, become according to the variation of Nt0 in accurate measurement result Gesture analyzes and determines the growth trend of adjustment gasket, suitably decreases or increases corresponding position adjustment spacer thickness.
When the difference for the angle that antenna array normal reaches with corresponding reference axis angle and system requirements is+Δ, Δ is positive Number reduces corresponding installation point spacer thickness, when the folder that antenna array normal reaches with corresponding reference axis angle and system requirements The difference at angle is-Δ, and Δ is positive number, increases corresponding position spacer thickness.
As shown in attached drawing 4 (d), according to the position characteristics of antenna mounting surface A1B1C1, B1C1 is located on antenna array, by A1 Intersection point D1 is obtained as vertical line to B1C1, using D1 point as coordinate origin, establishes the antenna parallel with whole three direction of star coordinate system Coordinate system, then A1D1 is distance of the A1 point to X-axis on antenna array, and B1D1, C1D1 are respectively B1 point and C1 point to antenna array The distance of upper Z axis.
Increasing and reducing spacer thickness adjustment amount is hAdjustment amount:
hAdjustment amount=tg (Δ) × L
In formula, L is the distance that the installation point fastens respective coordinates axis to antenna coordinate, unit: mm.
Correspondence installation point reference axis according to corresponding to antenna array normal of adjustment is determining, if X-direction deviation is Δ, then The antenna installation point at A1 need to be adjusted, L is the distance of A1D1;If Z-direction deviation is Δ, then need at adjustment B1 point (or C1 point) Antenna installation point, L are the distance of B1D1 (or C1D1).
According to the installation dot characteristics of massive phased array antenna, the antenna installation point of the position B1, C1 is equal in the face antenna X and the face Z Mountable adjustment gasket, generally, if antenna array normal is met the requirements with Y-direction angle, the antenna installation point of the position B1, C1 The face Z need not mounting and adjusting gasket, therefore the position B1, C1 referred to herein adjustment gasket such as emphasizes to be the face X without special.Such as Y-direction deviation is Δ, then needs the face the antenna Z installation point at adjustment B1 point (or C1 point), and L is the distance of B1D1 (or C1D1).
Citing: if accurate measurement obtains Nt0={ cos α t 0, cos β t 0, cos γ t 0 }, wherein γ t 0=90.15 °, 0 He of α t β t 0 meets to be required in ± 0.1 ° of deviation range, illustrates that antenna array normal and celestial body X-direction angle are bigger than normal, then A point tune Whole spacer thickness should suitably reduce, reduction amount according to:
hAdjustment amount=tg (Δ) × L
Wherein: Δ is amount of angular deviation, is 90.15 ° -90 °=0.15 ° in this example;
L is distance of the A point to X-axis on antenna array, and the distance of A point to front is 1200mm in this example, then to subtract in A point Gasket amount of thickness is adjusted less are as follows:
hAdjustment amount=tg (0.15 °) × 1200=3.1mm.
Step 8, repeatedly step 6~step 7 are complete until the absolute value of the difference for the angle that three angles reach with system requirements Portion is lower than preset thresholding., then terminate single-blade antenna installation process.
Two, specific step is as follows for the accurate installation method of double-vane massive phased array antenna:
(1), celestial body coordinate system is established, the celestial body coordinate system coordinate origin O is the central point of satellite and the rocket parting surface, and X-axis is just Direction is satellite flight direction, and Z axis positive direction is that direction, Y-axis positive direction and the face X0Z meet right-hand law over the ground;
(2), the mounting surface on celestial body is gone to and docks orientation with X-axis positive direction phased array antenna, accurate adjustment celestial body posture makes The pitching of celestial body rocks, yaws three direction postures and celestial body coordinate system X-axis, Y-axis, the angular error of Z axis less than 0.1, on celestial body Three installation point Y axis coordinate values and theory calls deviation be less than 0.1mm;
(3), accurate measurement does not add coordinate value A1 of three installation points of antenna under adjustment shim-like state under celestial body coordinate system (xa1,ya1,za1)、B1(xb1,yb1,zb1)、C1(xc1,yc1,zc1) and its fit Plane direction N1 (cos α 1, cos β 1, cos γ 1) and celestial body on correspond to installation point coordinate value A2 (xa2,ya2,za2)、B2(xb2,yb2,zb2)、C2(xc2,yc2,zc2) and its Fit Plane is directed toward N2 (cos α 2, cos β 2, cos γ 2);
(4), three installation points for defining antenna are physical location, and it is target position that installation point is corresponded on celestial body, using flat Face method of geometry constructs target position and physical location in the projected triangle of its public vertical plane, is solved by Analytic triangular function Each installation point position needs increased adjustment spacer thickness;
(5) calculated result obtained according to step (4) adds corresponding adjustment at three installation points of massive phased array antenna X-axis positive direction phased array antenna is mounted on celestial body by gasket;Meanwhile it measuring antenna frame accurate measurement cross prism square and being directed toward data And record, data comparison is carried out for being directed toward with the prism square before the traditional thread binding star in day, judges that the traditional thread binding star in day subsequently points to variation tendency;
(6) the antenna array target point plane after the traditional thread binding star in accurate measurement day is comprehensive is directed toward, and solves antenna array normal and celestial body Whether all the angle of coordinate system X-axis, Y-axis and Z axis judges the absolute value of the difference for the angle that three angles and system requirements reach Lower than preset thresholding, entirely below, then terminate antenna installation process, otherwise, is transferred to step (7);
(7) difference of the angle reached when antenna array normal with corresponding reference axis angle and system requirements is+Δ, and Δ is Positive number reduces corresponding installation point spacer thickness, reaches when antenna array normal with corresponding reference axis angle and system requirements The difference of angle is-Δ, and Δ is positive number, increases corresponding position spacer thickness, and increasing and reducing spacer thickness adjustment amount is hAdjustment amount
hAdjustment amount=tg (Δ) × L
In formula, L is the distance of respective coordinates axis in the installation point to antenna array, unit: mm.
(8) step (6)~step (7) are repeated until the angle of antenna array normal and celestial body coordinate system X-axis, Y-axis and Z axis The absolute value of the difference of the angle reached with system requirements is entirely below preset thresholding.
(9) according to step (2)~step (8) accurate measurement and X-axis negative direction massive phased array three installation points of antenna are calculated It adjusts gasket and adds quantity, and add corresponding adjustment gasket in the side-X and antenna is mounted on the side celestial body-X;
(10) the comprehensive synthesis flatness (Rt) for being directed toward Nt and whole wing antenna of the whole wing antenna array target point plane of accurate measurement;
(11) judge whether the synthesis flatness Rt of the comprehensive direction Nt of whole wing antenna array plane or whole wing antenna is less than The deviation range of system requirements, any one are unsatisfactory for requiring, then according to step (7)~step (8) in the traditional thread binding star method in single-blade day Continue to adjust spacer height, be met the requirements simultaneously until two, is i.e. the dress star work of completion double side wings antenna.
Inventive antenna installation accuracy easily guarantees, is analyzed using the calculating of mathematical model, may make dress star precision limited Commissioning number in most reach or approach target value fastly, according to verification experimental verification, the double side wings large size planar phased array day of length 15m Line, can an adjustment in place, and it is unfolded comprehensive flatness and reaches 3mm, and comprehensive pointing accuracy reaches 0.02 °.
The content that description in the present invention is not described in detail belongs to the well-known technique of those skilled in the art.

Claims (7)

1.一种基于数学建模的大型相控阵天线精准安装方法,其特征在于包括下列步骤:1. a large-scale phased array antenna precise installation method based on mathematical modeling, is characterized in that comprising the following steps: (1)、建立星体坐标系,所述星体坐标系坐标原点O为星箭分离面的中心点,X轴正方向为卫星飞行方向,Z轴正方向为对地方向,Y轴正方向与X0Z平面满足右手定律;(1), establish a star coordinate system, the coordinate origin O of the star coordinate system is the center point of the star-arrow separation surface, the positive direction of the X axis is the satellite flight direction, the positive direction of the Z axis is the ground direction, and the positive direction of the Y axis is the same as that of X0Z. The plane satisfies the right-hand law; (2)、将星体上的安装面转至与相控阵天线对接方位,精调星体姿态,使星体的俯仰、扭摆、偏航三方向姿态与星体坐标系X轴、Y轴、Z轴的角度误差小于0.1,星体上的三个安装点Y轴坐标值与系统要求的偏差小于0.1mm;(2) Turn the mounting surface on the star to the docking position with the phased array antenna, and fine-tune the star's attitude, so that the three-direction attitude of the star's pitch, yaw, and yaw is consistent with the X-axis, Y-axis, and Z-axis of the star's coordinate system. The angle error is less than 0.1, and the deviation of the Y-axis coordinate values of the three installation points on the star from the system requirements is less than 0.1mm; (3)、构建天线的三个安装点和星体上三个安装点在星体安装面和天线安装面的公垂面的投影三角形,采用平面几何的方法,解析三角函数求解各安装点位置需增加的调整垫片厚度;(3) Construct the projection triangle of the three installation points of the antenna and the three installation points on the star on the common vertical plane of the star installation surface and the antenna installation surface. The method of plane geometry is used to solve the position of each installation point by analyzing the trigonometric function. The thickness of the adjusting shim; (4)按照步骤(3)得到的计算结果在大型相控阵天线三个安装点处添加相应调整垫片将天线安装在星体上;(4) According to the calculation result obtained in step (3), add corresponding adjusting shims at the three installation points of the large phased array antenna to install the antenna on the star; (5)测量将天线安装在星体上之后的天线阵面平面综合指向Nt0,求解天线阵面法线与星体坐标系X轴、Y轴和Z轴的夹角,判断三个夹角与系统要求达到的夹角之差的绝对值是否全部低于预设的门限,全部低于,则结束天线安装过程,否则,转入步骤(6);(5) Measure the comprehensive point Nt0 of the antenna front plane after the antenna is installed on the star, solve the angle between the normal of the antenna front and the X-axis, Y-axis and Z-axis of the star coordinate system, and determine the three angles and system requirements Whether the absolute value of the difference of the included angles reached is all lower than the preset threshold, if all are lower than, then end the antenna installation process, otherwise, go to step (6); (6)当天线阵面法线与对应的星体坐标系坐标轴夹角与系统要求达到的夹角之差为+Δ,Δ为正数,减少对应安装点垫片厚度,夹角之差为-Δ,Δ为正数,增加对应安装点垫片厚度;(6) When the difference between the angle between the normal line of the antenna front and the coordinate axis of the corresponding star coordinate system and the angle required by the system is +Δ, and Δ is a positive number, reduce the thickness of the gasket at the corresponding installation point, and the difference between the angles is -Δ, Δ is a positive number, increase the thickness of the gasket at the corresponding installation point; (7)重复步骤(5)~步骤(6)直到天线阵面法线与星体坐标系X轴、Y轴和Z轴的夹角与系统要求达到的夹角之差的绝对值全部低于预设的门限。(7) Repeat steps (5) to (6) until the absolute values of the difference between the angle between the normal of the antenna front and the X-axis, Y-axis and Z-axis of the star coordinate system and the angle required by the system are all lower than the predetermined value. set threshold. 2.根据权利要求1所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于所述相控阵天线对接方位位于卫星飞行方向,即X轴正方向或X轴负方向。2. a kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1, is characterized in that described phased array antenna docking azimuth is located in the satellite flight direction, namely X-axis positive direction or X-axis negative direction. direction. 3.根据权利要求1所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于当星体上安装两个相控阵天线,天线对接方位分别为X轴正方向和X轴负方向时,包括如下步骤:3. a kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1 is characterized in that when two phased array antennas are installed on the star, the antenna docking azimuth is respectively the positive direction of the X-axis and the X-axis. When the axis is in the negative direction, it includes the following steps: 首先,按照上述步骤(1)~步骤(7),分别将步骤(2)中的相控阵天线对接方位替换为X轴正方向和X轴负方向,将X轴正负方向两个相控阵天线安装在星体上;First, according to the above steps (1) to (7), replace the docking azimuth of the phased array antenna in step (2) with the positive direction of the X axis and the negative direction of the X axis. The array antenna is installed on the star; 然后,测量整翼天线阵面平面综合指向Nt以及整翼天线的综合平面度Rt;Then, measure the comprehensive pointing Nt of the front plane of the whole-wing antenna and the comprehensive flatness Rt of the whole-wing antenna; 最后,判断整翼天线阵面平面综合指向Nt或者整翼天线的综合平面度Rt是否小于系统要求的偏差范围,任一项不满足要求,则继续调整两侧安装垫片的高度,直到两项同时满足要求,即完成双侧翼天线的装星工作。Finally, judge whether the integrated direction Nt of the front plane of the whole-wing antenna or the comprehensive flatness Rt of the whole-wing antenna is less than the deviation range required by the system. If any one of them does not meet the requirements, continue to adjust the height of the spacers installed on both sides until the two At the same time, the requirements are met, that is, the satellite installation work of the double-flank antenna is completed. 4.根据权利要求1或3所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于所述步骤(3)构建天线的三个安装点和星体上三个安装点在星体安装面和天线安装面的公垂面的投影三角形,采用平面几何的方法,解析三角函数求解各安装点位置需增加的调整垫片厚度的详细过程为:4. a kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1 or 3, it is characterized in that described step (3) constructs three installation points of antenna and three installation points on star body On the projection triangle of the common vertical plane of the star mounting surface and the antenna mounting surface, using the method of plane geometry, the analytical trigonometric function is used to solve the detailed process of the thickness of the adjustment gasket that needs to be increased at each mounting point position: (3.1)、测量不添加调整垫片状态下天线的三个安装点在星体坐标系下的坐标值A1(xa1,ya1,za1)、B1(xb1,yb1,zb1)、C1(xc1,yc1,zc1)及其拟合平面指向N1(cosα1,cosβ1,cosγ1)和星体上对应安装点坐标值A2(xa2,ya2,za2)、B2(xb2,yb2,zb2)、C2(xc2,yc2,zc2)及其拟合平面指向N2(cosα2,cosβ2,cosγ2);(3.1) Measure the coordinate values A1(xa 1 , ya 1 , za 1 ), B1 (xb 1 , yb 1 , zb 1 ) of the three installation points of the antenna in the star coordinate system without adding the adjusting shims, C1 (xc 1 , yc 1 , zc 1 ) and its fitting plane point to N1 (cosα1, cosβ1, cosγ1) and the coordinates of the corresponding installation points on the star A2 (xa 2 , ya 2 , za 2 ), B2 (xb 2 , yb 2 , zb 2 ), C2 (xc 2 , yc 2 , zc 2 ) and their fitting planes point to N2 (cosα2, cosβ2, cosγ2); (3.2)、将天线安装面和星体安装面向其公垂面M进行投影,天线安装点A1、B1、C1在平面M上的投影得到投影点A1'、B1'、C1'和星体安装点在平面上的投影点,将星体安装点在平面上的投影点平移得到A2'、B2'、C2',使距离最近的两个安装点A2'与A1'重合为一个点,消除A1与A2、B1与B2和C1与C2的公共高度差,得到投影三角形A1'C1'C2';(3.2) Project the antenna mounting surface and the star mounting face to its common vertical plane M, and project the antenna mounting points A1, B1, and C1 on the plane M to obtain the projection points A1', B1', C1' and the star mounting point at The projection point on the plane, translate the projection point of the star installation point on the plane to get A2', B2', C2', make the two closest installation points A2' and A1' coincide into one point, eliminate A1 and A2, The common height difference between B1 and B2 and C1 and C2, the projected triangle A1'C1'C2' is obtained; (3.3)、定义天线安装面间距最大的安装点为C1,C1点添加调整垫片厚度为:hC=0,不需要添加垫片;(3.3), define the installation point with the largest distance between the antenna installation surfaces as C1, and the thickness of the adjustment shim at C1 point is: h C = 0, no need to add a shim; (3.4)、计算投影三角形的∠C1'A1'C2'的值α’,α’=α,α为星体安装平面指向N1及天线安装平面指向N2的向量夹角,其计算公式为:(3.4) Calculate the value α' of ∠C1'A1'C2' of the projected triangle, α'=α, α is the vector angle between the star installation plane pointing to N1 and the antenna installation plane pointing to N2, the calculation formula is: (3.5)、根据星体三个安装点的坐标值,计算直线向量A2B2,A2C2;其中,A2B2向量为A2C2向量为 (3.5) According to the coordinate values of the three installation points of the star, calculate the straight line vectors A2B2 and A2C2; among them, the A2B2 vector is The A2C2 vector is (3.6)、计算A2B2和A2C2与公垂面M之间的夹角θ1和θ2,由向量夹角公式得到:(3.6) Calculate the included angles θ 1 and θ 2 between A2B2 and A2C2 and the common vertical plane M, which are obtained from the vector angle formula: (3.7)定义星体安装面上安装点直线向量A2B2,A2C2在公垂面M上的投影长度S1和S2,按照下列公式计算投影三角形中|A2'B2'|和|A2'C2'|:(3.7) Define the projection lengths S 1 and S 2 of the mounting point line vectors A2B2 and A2C2 on the common vertical plane M on the star mounting surface, and calculate |A 2 'B 2 '| and |A 2 ' in the projected triangle according to the following formulas C 2 '|: |A2'B2'|=S1=|A2B2|×sinθ1,|A2'C2'|=S2=|A2C2|×sinθ2|A 2 'B 2 '|=S 1 =|A 2 B 2 |×sinθ 1 , |A 2 'C 2 '|=S 2 =|A 2 C 2 |×sinθ 2 ; (3.8)计算A1点添加调整垫片厚度为:d1=hA=|A2'C2'|×tgα',B1点添加调整垫片厚度为:hB=hA-h1=(|A2'C2'|-|A2'B2'|)×tgα'。(3.8) Calculate the thickness of the adjusting shim added at point A1 as: d 1 =h A =|A 2 'C 2 '|×tgα', and the thickness of the adjusting shim added at point B1 is: h B =h A -h 1 =( |A 2 'C 2 '|-|A 2 'B 2 '|)×tgα'. 5.根据权利要求1或3所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于步骤(6)所述对应安装点由如下原则确定:当B1、C1为同时安装在天线阵面的的安装点时,当天线阵面法线与星体坐标系X轴的夹角与系统要求达到的夹角之差的绝对值超过预设门限时,则对应安装点为A1处的天线安装点;当天线阵面法线与星体坐标系Z轴的夹角与系统要求达到的夹角之差的绝对值超过预设门限时,则对应安装点为B1或C1处的天线安装点。5. a kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1 or 3, is characterized in that the described corresponding installation point of step (6) is determined by the following principle: when B1, C1 are simultaneously When installed at the installation point of the antenna array, when the absolute value of the difference between the angle between the antenna array normal and the X-axis of the star coordinate system and the angle required by the system exceeds the preset threshold, the corresponding installation point is A1 When the absolute value of the difference between the angle between the antenna front normal and the Z axis of the star coordinate system and the angle required by the system exceeds the preset threshold, the corresponding installation point is the antenna at B1 or C1 mount point. 6.根据权利要求1或3所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于步骤(7)所述增加或减少的垫片厚度调整量h调整量为:6. a kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1 and 3, it is characterized in that the shim thickness adjustment amount h adjustment amount that increases or reduces described in step (7) is: h调整量=tg(Δ)×Lh adjustment amount =tg(Δ)×L 当被调整安装点为A1时,L为A1D1的距离,当被调整安装点为B1或C1时,L为B1D1或C1D1的距离;D1为A1向B1C1作垂直线的垂足。When the adjusted installation point is A1, L is the distance from A1D1; when the adjusted installation point is B1 or C1, L is the distance from B1D1 or C1D1; D1 is the vertical line from A1 to B1C1. 7.根据权利要求1或3所述的一种基于数学建模的大型相控阵天线精准安装方法,其特征在于所述大型相控阵天线通过气足(6)停放在气浮台(5)上,通过气足(6)及气浮台(5)实现相控阵天线零重力安装。7. A kind of accurate installation method of large-scale phased array antenna based on mathematical modeling according to claim 1 or 3, it is characterized in that described large-scale phased array antenna is parked on air-floating platform (5) by air foot (6) ), the zero gravity installation of the phased array antenna is realized through the air foot (6) and the air flotation table (5).
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