CN115759607A - Multi-air-attack-direction-oriented wanted-ground defense equipment distribution deployment method - Google Patents
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Abstract
The invention belongs to the technical field of ground defense command control, and relates to a distribution deployment method of ground defense equipment facing to multiple air attack directions. The invention has the following implementation steps: step S101: determining a concept related to the shielding capacity of the air defense weapon on a security place and a calculation mode thereof, and designing a distribution system model of the air defense weapon on the defense of a certain target place under the direction of multiple air attacks; step S102: designing an air defense weapon distribution system deployment model. The invention designs an air defense weapon distribution model which comprehensively considers effective blocking width, shielding angle and benefit under the multi-air attack direction; determining a geographic environmental constraint; designing an air defense weapon deployment model, and solving out the deployment position of the air defense weapon according to a deployment principle. The invention has the advantages that: the method is simple and effective to realize, is beneficial to quickly providing a pre-war air defense weapon deployment scheme meeting the requirements of modern air defense combat for a commander, reduces the time and weapon consumption, and improves the benefit of a defense system.
Description
Technical Field
The invention relates to the technical field of wanted-place air defense command control, in particular to a wanted-place air defense equipment distribution deployment method facing multiple air attack directions.
Background
In modern air defense combat, the aim of air defense weapon combat deployment is to create a combat situation which is beneficial to air defense and air attack under certain combat conditions, so as to form a reasonable firepower structure and a detection structure in the combat, and occupy certain advantages, thereby fully playing the advantages and the advantages of air defense firepower, restraining the power of air attack weapons and achieving the aim of protecting our party. The good deployment situation can enable the air defense weapons with different performances to exert the synergistic advantage under systematic countermeasures. Therefore, as an important link for planning ahead of war, the reasonable deployment of the air defense weapon is particularly important. Currently, air defense weapon combat deployment is generally performed by manually performing preliminary configuration based on experience for a target air attack direction, performing evaluation and verification through simulation deduction, and performing optimization through repeated iterative adjustment, so that the overall time consumption is long. At present, the situation of the air defense battle field is changeable instantly, particularly, a flexible attack strategy is usually adopted in an air attack mode represented by an unmanned aerial vehicle swarm, the main attack direction of the attack strategy is uncertain or the situation of multi-directional attack exists, the existing deployment method only considering one air attack direction is not suitable for the modern air defense battle requirements, and the research of the air defense weapon distribution method comprehensively considering multiple air attack directions is very necessary.
Disclosure of Invention
The invention mainly aims to provide a to-ground defense equipment distribution deployment method facing to multiple air attack directions, and solves the problem that only one air attack direction is considered in an air defense weapon configuration scheme.
In order to achieve the above purpose, the present invention provides a defense equipment distribution deployment method facing multiple air attack directions, including the following steps:
step S101: determining a concept related to the shielding capacity of the air defense weapon on a security place and a calculation mode thereof, and designing a distribution system model of the air defense weapon on the defense of a certain target place under the direction of multiple air attacks;
step S102: and designing an air defense weapon deployment model.
Preferably, in step S101, the shielding capability of the air defense weapon on the guardian ground is determined, the shielding capability includes a frontal blocking width and a shielding angle, and the effective blocking width is:
a max =2P d ;
wherein: efficient airway shortcut P d Is the route shortcut of the corresponding killer area with the given minimum interception depth, the route shortcut is the shortest distance projected from the ground air defense weapon to the horizontal plane of the aircraft-carried route, a max Effective blocking width;
the shielding angle is an angle range which can resist the direction of the air attack on the premise that the air defense weapon can shield the defending target.
Preferably, a distribution model of the air defense weapon under the multi-air attack direction to a certain target area during defense is designed, factors such as effective blocking width, shielding angle and benefit are comprehensively considered, and the design model is as follows:
Z=min{F,N},
wherein:
α i the attack probabilities of the targets in different air attack directions are normalized;
L zj,i a blocking width in an ith direction;
a max,j j =1,2, · M, the effective blocking width of the jth antiaircraft;
θ fs,i the shield angle required by the ith direction defense system is 0-theta fs ≤2π;
f is a fitting coefficient model obtained according to the effective blocking width, N is a fitting coefficient model obtained according to the masking angle, and Z is a final fitting coefficient model.
Preferably, when deployment is carried out by considering a plurality of air attack directions and calculating an air defense weapon distribution mode according to the effective blocking width, firstly determining the direction with the maximum air attack probability as the deployment direction, then establishing a coordinate system with a protection place as an origin and the opposite direction of the direction with the maximum air attack probability as an ox axis, defining an oy axis according to a right-hand coordinate system, finally designing a kth set (k is more than or equal to 2 and less than or equal to N) of air defense weapons to be distributed as a jth type air defense weapon, distributing a k-1 set of air defense weapons to be distributed as an ith type air defense weapon, and arranging position coordinates as follows:
wherein L is zj,k-1 And L zj,k Effective blocking widths, L, of sets k-1 and k-air weapons, respectively zj,j Effective strike width, s, for type j antiaircraft weapons sy,k Far horizontal projection of kill zone, y, of given height for set k of air defence weapons k-1 Is the y coordinate of the deployment position of the k-1 set of air defense weapon, and the y coordinate of the deployment position of the 1 st set of air defense weapon is the effective blocking width of the type of air defense weapon, namely y 1 =L zj,1 。
Preferably, when deployment is carried out according to a mode of calculating an air defense weapon distribution system by a shield angle, firstly, a coordinate system with a protection place as an origin and an opposite direction of a direction with the maximum probability of air attack as an ox axis is established, an oy axis is defined according to a right-hand coordinate system, then, the distance between a deployment point of the air defense weapon and a center of a guard target is determined, finally, a kth set (k is more than or equal to 2 and less than or equal to N) of the air defense weapon is designed to be distributed as a jth type air defense weapon, a k-1 set of air defense weapon is distributed as an ith type air defense weapon, and the deployment position coordinates are as follows:
wherein,andeffective shielding angles, theta, of sets k-1 and k, respectively, of air weapons k-1 The included angle between a connecting line from the origin of coordinates to the deployment position of the k-1 set of air defense weapon and the ox axis is positive in the clockwise direction from the ox axis to the connecting line. Theta 1 =-0.5θ fs 。
Due to the adoption of the technical scheme, the invention has the following beneficial effects:
the method determines the concept related to the shielding capability of the air defense weapon on the security grounds and the constraint conditions thereof, and designs a distribution system model of the air defense weapon on the defense of a certain key place under the multi-air attack direction; determining a geographic environment and giving out geographic environment constraint conditions; designing an air defense weapon deployment model, and solving the air defense weapon deployment model. Factors such as battlefield environment of the air defense weapon, uncertain target main attack direction or existence of multidirectional attack are mainly considered, effective shielding and blocking width, shielding angle and different direction air attack probability are comprehensively considered, a distribution model is obtained through calculation, and then a deployment position is obtained, so that the method is beneficial to rapidly providing a pre-war air defense weapon deployment scheme meeting the requirements of modern air defense combat, time and weapon consumption are reduced, and the benefit of an earth defense system is improved.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the structures shown in the drawings without creative efforts.
FIG. 1 is a flow chart of a method for deploying air defense weapons in combat according to the present invention;
FIG. 2 is a schematic view of the horizontal kill zone and parameters of the air defense weapon of the present invention;
FIG. 3 is a schematic view of the vertical kill zone and parameters of the antiaircraft weapon of the present invention;
FIG. 4 is a schematic representation of the effective blocking width of the air defense weapon of the present invention;
FIG. 5 is a schematic illustration of a single set of anti-aircraft weapon lockdown anti-aircraft deployment of the present invention;
fig. 6 is a schematic view of the single set of shield angles of the air defense weapon of the present invention.
Detailed Description
The advantages and features of the present invention will become more fully apparent from the following description and appended claims, taken in conjunction with the accompanying drawings and detailed description of specific embodiments of the invention. It should be noted that the drawings are in simplified form and are not to precise scale, which are provided for convenience and clarity in order to facilitate the description of the embodiments of the invention.
While the invention is amenable to various modifications and alternative forms, specifics thereof have been shown by way of example in the drawings and will be described in detail. It should be understood that the inventors do not intend to limit the invention to the particular embodiments described, but intend to protect all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the claims.
Referring to fig. 1, the present invention provides a distribution deployment method of defense equipment to ground facing to multiple air attack directions, including the following steps:
step S101, determining a concept related to the shielding capacity of an air defense weapon on a security ground and a calculation mode thereof, and designing a distribution system model of the air defense weapon on a certain target area under a multi-air attack direction;
and S102, designing an air defense weapon deployment model.
In one embodiment, designing an air defense weapon fit model and a deployment model comprises the following specific steps:
the method comprises the following steps:
a) An air defense weapon fit model comprehensively considering effective blocking width, shielding angle and benefit:
Z=min{F,N};
wherein F is a fitting coefficient model designed based on the effective blocking width, N is a fitting coefficient model designed based on the shielding angle,
b) A fitting coefficient model designed based on effective blocking width:
schematic diagrams of the air defense weapon kill zone and effective blocking width are shown in fig. 2-4.
(1) And (3) remote calculation of the air defense weapon killing area:
(2) Far horizon projection calculation of the kill zone for a given height H:
s sy (H min )=s sdy
(3) Calculating an effective air route shortcut:
(4) Calculating the effective blocking width:
a max =2P d ;
(5) A matching system model:
wherein:
H max high boundary of killer region, H min Is the low boundary of the killing area;
ΔL min at minimum depth of interception, Δ L min =(n-1)t jg v m ,t jg For every two missiles firing interval, v m For the air-hit target velocity,. DELTA.l for the depth of the killing zone, q d For effective way angle, q max In order to be the maximum of the way angle,p max =min{p max ,s sy (h)×sinq max },p max for maximum airway shortcut, α i The probability of the target air attack is the ith direction and is normalized.
c) Fitting model based on shield angle design
(1) When r is lj +ΔL min ≤s sy ≤r lj +r d +ΔL min The air defence weapon will be deployed inside the protected ground or area, the shielding angle is pi only for the case where the air defence weapon can be deployed inside the protected ground or area, i.e. the
(2) When r is lj cosq max +ΔL min ≤s sy <r lj +ΔL min The air weapon will be deployed outside the protected ground or area, the air weapon will be deployed inside the interception line (shooting circle), and when the deployment point is located at radius r lj +ΔL min Has an inner chord length of 2s sy The air defense weapon ensures that the shield angle of the given interception depth reaches the maximum value, and the maximum shield angle is as follows:
(3) When s is sy ≤r lj cosq max +ΔL min To be made ofResist S 2 The directional air attack target takes a point A on the arc section of the target passing through the interception line (throwing ring), and the corresponding interception depth AM is delta L min At point A, at maximum angle q max Making ray AO into the throwing ring, making parallel line of AM and making navigation route shortcut P whose distance with AM is correspondent d The intersection point O of the two straight lines is a deployment point of the air defense weapon, and the maximum protection angle is as follows:
(4) Determining an air defense weapon fit by using the angle of occultation:
wherein, theta fs,i The shield angle required by the ith direction defense system is 0-theta fs ≤2π,Is the maximum protection angle of the j-th air defense weapon.
Step two:
determining geographic environment constraints, wherein undeployable areas such as rivers, elevations and the like exist in the geographic environment, and selecting the deployable point closest to the geographic environment for deployment.
Considering the situation that multiple air attack directions exist in an actual scene, determining a deployment position according to the direction with the maximum air attack probability, wherein the method comprises the following steps:
a) Deployment model designed based on effective blocking width
(1) Under the deployment condition, half of the effective blocking width of a set of j-th fire units is as follows:
(2) If each type of air defense weapon does not require adjacent deployment, namely, each type of air defense weapon system is possibly crossly deployed, if the calculation is carried out according to the decreasing mode of the oy axis coordinate and the undeployable area is skipped, the kth set (k is more than or equal to 2 and less than or equal to N) of air defense weapons is compiled into the jth air defense weapon, the kth-1 set of air defense weapons is compiled into the jth air defense weapon, the deployment position coordinate is as follows:
wherein N is j Number of deployments for type j air defense weapons, L zj, practice Is the actual total blocking width.
b) Deployment model based on shield angle design
(1) When s is sy ≤r lj cosq max +ΔL min Time of flight
(2) When r is lj cosq max +ΔL min ≤s sy <r lj +ΔL min Time of flight
(3) When r is lj +ΔL min ≤s sy ≤r lj +r d +ΔL min Time of flight
r bmax =s sy -r tf -ΔL min
(4) Based on the steps (1), (2) and (3), taking the central point of the protected land or the area as an origin o, taking the oxy plane as a horizontal plane, pointing the oz axis to the zenith, taking the ox axis as the opposite direction of the maximum enemy probability, and defining the oy axis according to a right-hand coordinate system. If the ox axis equally divides the total shield area required by the air defense system, the kth set (k is more than or equal to 2 and less than or equal to N) of air defense weapons are compiled into the jth type of air defense weapons, the kth-1 set of air defense weapons are compiled into the ith type of air defense weapons, and the deployment position coordinates are as follows:
wherein,andeffective shielding angles, theta, of sets k-1 and k, respectively, of air weapons k-1 Is the included angle between the connecting line from the origin of coordinates to the deployment position of the k-1 set of air defense weapon and the ox axis, the clockwise direction from the ox axis to the connecting line is positive, and theta 1 =-0.5*θ fs 。
Any other suitable modifications can be made according to the technical scheme and the conception of the invention. All such alternatives, modifications, and improvements as would be apparent to one skilled in the art are intended to be within the scope of the invention as defined by the appended claims.
Claims (5)
1. A distribution deployment method of defense equipment to ground facing to multiple air attack directions is characterized by comprising the following steps:
step S101: determining a concept related to the shielding capacity of the air defense weapon on a security place and a calculation mode thereof, and designing a distribution system model of the air defense weapon on the defense of a certain target place under the direction of multiple air attacks;
step S102: designing an air defense weapon deployment model.
2. The method for deploying defense equipment to ground distribution facing to the direction of the multi-air attack according to claim 1, wherein in step S101, the shielding capability of the air defense weapon on the defense ground is determined, the shielding capability includes a front blocking width and a shielding angle, and the effective blocking width is:
a max =2P d ;
wherein: efficient airway shortcut P d Is the route shortcut of the killing area corresponding to the given minimum interception depth, the route shortcut is the shortest distance projected from the ground air defense weapon to the plane of the aircraft route, a max Is an effective resistorThe stroke width;
the shielding angle is an angle range which can resist the direction of the air attack on the premise that the air defense weapon can shield the defending target.
3. The method for deploying the arming system of the defense equipment to the ground facing to the multi-air attack direction according to claim 2, wherein a arming system model of the defense weapon to a certain ground facing to the multi-air attack direction is designed, and the design model comprehensively considers factors such as effective attack width, shelter angle and benefit and the like and is as follows:
Z=min{F,N},
wherein:
α i the attack probabilities of the targets in different air attack directions are normalized;
L zj,i a blocking width in an ith direction;
a max,j j =1,2,., M, for the effective blocking width of the j-th air defense weapon;
θ fs,i the shield angle required by the ith direction defense system is 0-theta fs ≤2π;
f is a fitting coefficient model obtained according to the effective blocking width, N is a fitting coefficient model obtained according to the shielding angle, and Z is a final fitting coefficient model.
4. The deployment method of the arming distribution of the defense equipments to be wanted facing to the direction of the multiple air attacks according to claim 2, wherein when the deployment is performed by considering the multiple air attack directions and calculating the air-defense weapon distribution according to the effective blocking width, firstly, the direction with the highest air attack probability is determined as the deployment direction, then, a coordinate system with the protection wanted place as the origin and the direction with the highest air attack probability as the opposite direction as the ox axis is established, the oy axis is defined according to the right-hand coordinate system, finally, the kth set (2 ≦ k ≦ N) of air-defense weapons is designed and is compiled as the jth type air-defense weapons, the kth-1 set of air-defense weapons is compiled as the ith type air-defense weapons, and the deployment position coordinates are as follows:
wherein L is zj,k-1 And L zj,k Effective blocking width, L, for sets k-1 and k, respectively, of the antiaircraft weapon zj,j Effective width of impact, s, for type j antiaircraft weapons sy,k Far horizontal projection of kill zone of given height for k-th set of air defence weapons, y k-1 Is the y coordinate of the deployment position of the k-1 st set of air defense weapon, and the y coordinate of the deployment position of the 1 st set of air defense weapon is the effective blocking width of the type of air defense weapon, namely y 1 =L zj,1 。
5. The deployment method of the arming distribution system facing to the multi-air-attack direction is characterized in that when the arming distribution system is deployed according to the calculated mode of the shelter angle, firstly, a coordinate system which takes the protection ground as an origin and takes the opposite direction of the direction with the highest air-attack probability as an ox axis is established, an oy axis is defined according to a right-hand coordinate system, then the distance between the arming point of the air-attack weapon and the center of the defending target is determined, finally, a kth set (2 is more than or equal to k is less than or equal to N) of air-attack weapons is designed to be compiled into a jth type air-attack weapon, a kth-1 set of air-attack weapons is compiled into an ith type air-attack weapon, and the deployment position coordinates are as follows:
wherein,andeffective shielding angles, theta, of sets k-1 and k, respectively, of air weapons k-1 The included angle between a connecting line from the origin of coordinates to the deployment position of the k-1 set of air defense weapon and the ox axis is positive in the clockwise direction from the ox axis to the connecting line. Theta 1 =-0.5θ fs 。
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN116432872A (en) * | 2023-06-13 | 2023-07-14 | 中国人民解放军战略支援部队航天工程大学 | HHO algorithm-based multi-constraint resource scheduling method and system |
CN117408493A (en) * | 2023-12-08 | 2024-01-16 | 中国人民解放军海军航空大学 | Cooperative method, system and medium for air defense platform integrated in land |
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Publication number | Priority date | Publication date | Assignee | Title |
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CN116432872A (en) * | 2023-06-13 | 2023-07-14 | 中国人民解放军战略支援部队航天工程大学 | HHO algorithm-based multi-constraint resource scheduling method and system |
CN116432872B (en) * | 2023-06-13 | 2023-09-22 | 中国人民解放军战略支援部队航天工程大学 | HHO algorithm-based multi-constraint resource scheduling method and system |
CN117408493A (en) * | 2023-12-08 | 2024-01-16 | 中国人民解放军海军航空大学 | Cooperative method, system and medium for air defense platform integrated in land |
CN117408493B (en) * | 2023-12-08 | 2024-03-01 | 中国人民解放军海军航空大学 | Cooperative method, system and medium for air defense platform integrated in land |
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