WO2021213541A1 - Method for assessing personal injury risk of unmanned aerial vehicle crash in out-of-control or power-loss fault state - Google Patents

Method for assessing personal injury risk of unmanned aerial vehicle crash in out-of-control or power-loss fault state Download PDF

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WO2021213541A1
WO2021213541A1 PCT/CN2021/095437 CN2021095437W WO2021213541A1 WO 2021213541 A1 WO2021213541 A1 WO 2021213541A1 CN 2021095437 W CN2021095437 W CN 2021095437W WO 2021213541 A1 WO2021213541 A1 WO 2021213541A1
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韩鹏
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中国民航大学
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  • the present disclosure belongs to the technical field of unmanned aerial vehicles, and in particular relates to a method for assessing the risk of an unmanned aerial vehicle falling to the ground and hurting people when it is out of control or loses power.
  • the prediction of the area where the UAV falls and the estimation of the kinetic energy of the fall is a key link in assessing the risk of injury from its fall.
  • Most of the current researches use the modeling of the UAV's failure trajectory to predict the landing area.
  • the main modeling methods include empirical estimation method and modeling analysis method.
  • the empirical estimation method is based on the weight, size and category of the UAV, referring to the historical data of manned aircraft or UAV crashes, to estimate the trajectory and affected area after the UAV fails.
  • the empirical estimation method can be further divided into two methods based on aircraft weight and aircraft size and type.
  • the modeling analysis method is mainly based on the aerodynamic model and the kinematic model to predict the fall track, and calculate the range of the affected area after the UAV fails.
  • failure trajectory modeling it is first necessary to determine its initial failure location, initial failure velocity and related errors, and use this as the failure boundary condition.
  • the current technology lacks this research.
  • the initial position of the drone before it fails and falls has a significant impact on the accuracy of the prediction output, which is directly related to the risk of ground personnel. Therefore, it is necessary to carry out research on the risk assessment method of unmanned aerial vehicle's loss of control or loss of power failure state based on trajectory prediction.
  • the risk assessment method of the unmanned aerial vehicle falling out of control or losing power failure state includes the following steps in order:
  • step 2) Substitute the boundary conditions of the UAV in the out-of-control or power-off failure state determined in step 2) into step 1) to calculate the UAV's trajectory prediction model established in the out-of-control or power-off failure state of the UAV.
  • step 2) Substituting the boundary conditions of the unmanned aerial vehicle determined in step 2) in the out-of-control or out-of-power failure state into the step 1) established UAV out-of-control or out-of-power failure state in the landing track prediction model to calculate the UAV Falling speed and falling kinetic energy;
  • step 5 According to the kinetic energy of UAV falling in step 4), combined with the protection coefficient of ground shelter and the energy threshold of casualties, calculate the casualty rate of ground personnel, and use this as a quantitative index to evaluate the drone in step 3) Obtain the risk at the location where the drone fell.
  • step 1) the predictive model of the flight path when the UAV is out of control or power failure state is:
  • equation (1) Expanding the air resistance with the windward area of the drone and the air resistance coefficient, equation (1) can be expressed as equation (2):
  • c D is the air resistance coefficient
  • ⁇ A is the density of air is kg / m 3
  • a x, A y, A h is the frontal area of each longitudinal, lateral and height directions, in units of m 2.
  • step 2) the boundary conditions of the unmanned aerial vehicle in the out-of-control or power-loss fault state are shown in formula (3):
  • x, y, h, v are the initial longitudinal position, lateral position, height position and initial velocity of the failure respectively;
  • x 0 , y 0 , h 0 , v 0 are the longitudinal coordinate and lateral direction of the initial failure prediction point, respectively Coordinates, height coordinates and the predicted value of the initial failure speed;
  • ⁇ x , ⁇ y , ⁇ h , and ⁇ v are the longitudinal coordinate error, the lateral coordinate error, the height coordinate error and the velocity error, respectively.
  • step 3 the boundary conditions determined in step 2) are substituted for the unmanned aerial vehicle's out-of-control or power-loss fault state determined in step 1) to establish the unmanned aerial vehicle's out-of-control or power-off fault condition.
  • the method to calculate the location coordinates of the drone's crash site is:
  • step 2) The unmanned aerial vehicle described in formula (3) is out of control or loses power.
  • the boundary conditions can be expressed as formula (4):
  • v 0x and v 0y are respectively the predicted value of the initial failure speed.
  • v 0 is the longitudinal and lateral velocity components in the UAV track prediction coordinate system;
  • ⁇ vx and ⁇ vy are the velocity errors ⁇ v in the unmanned The longitudinal and lateral velocity error components in the aircraft trajectory prediction coordinate system;
  • step 4 the landing speed of the drone is calculated according to formula (10):
  • E is the kinetic energy of the drone falling to the ground, and the unit is J.
  • step 5 the formula for calculating the casualty rate of ground personnel is:
  • P f is the casualty rate of ground personnel
  • P s is the protection coefficient of ground shelters, and the value is 1
  • is the energy threshold for casualties when P s tends to 0, and the value is 34J
  • E is the kinetic energy of the drone when the drone is out of control or power failure
  • k is the correction factor.
  • Certain embodiments of the method for assessing the risk of a person falling to the ground in a failure state of a drone have the following beneficial effects: the failure or loss of power state of the drone is considered in the process of establishing a failed ground trajectory prediction model. Accurate kinematics behavior, and in the process of setting prediction boundary conditions, considering the error of the initial failure position and the error of the initial failure velocity, it can more accurately predict the crash location and kinetic energy of the UAV. This method can be used for the UAV to fall to the ground. Quantitative assessment of injury risk provides more effective support.
  • Fig. 1 is a schematic diagram of the boundary conditions of the unmanned aerial vehicle in the state of failure of control or loss of power in the present disclosure.
  • Figure 2 is a schematic diagram of the UAV track prediction coordinate system in this disclosure.
  • Figure 3 is a schematic diagram of the UAV track prediction coordinate system in this disclosure.
  • the risk assessment method of the unmanned aerial vehicle falling out of control or losing power failure state includes the following steps 1), 2), 3), 4) and 5) in order:
  • equation (1) Expanding the air resistance with the windward area of the drone and the air resistance coefficient, equation (1) can be expressed as equation (2):
  • c D is the air resistance coefficient
  • ⁇ A is the density of air is kg / m 3
  • a x, A y, A h is the frontal area of each longitudinal, lateral and height directions, in units of m 2.
  • the boundary conditions of the failure state of the unmanned aerial vehicle out of control or loss of power are shown in Fig. 1, including the initial position of failure and the initial velocity of failure.
  • the initial position of failure includes longitudinal position, lateral position and height.
  • the initial failure position is composed of the coordinates of the initial failure prediction point and the coordinate error.
  • the initial failure velocity is composed of the initial failure velocity prediction value and the velocity error.
  • the boundary conditions are shown in equation (3).
  • the position error of the UAV follows the three-dimensional Gaussian distribution law with a mean value of zero, and the position error is independent of each other in the longitudinal, lateral and height directions.
  • the speed error of the UAV is determined by its design performance, usually within ⁇ 20%, given by the design parameters.
  • x, y, h, v are the initial longitudinal position, lateral position, height position and initial velocity of the failure respectively;
  • x 0 , y 0 , h 0 , v 0 are the longitudinal coordinate and lateral direction of the initial failure prediction point, respectively Coordinates, height coordinates and the predicted value of the initial failure speed;
  • ⁇ x , ⁇ y , ⁇ h , and ⁇ v are the longitudinal coordinate error, the lateral coordinate error, the height coordinate error and the velocity error, respectively.
  • the longitudinal coordinate error, lateral coordinate error, altitude coordinate error and speed error of the UAV all follow the normal distribution law, which is determined by the design performance of the UAV and is given by the design parameters.
  • step 2) Substitute the boundary conditions of the UAV in the out-of-control or power-off failure state determined in step 2) into step 1) to calculate the UAV's trajectory prediction model established in the out-of-control or power-off failure state of the UAV.
  • step 2 Take the coordinates of the initial prediction point of failure (x 0 , y 0 , h 0 ) as the origin to establish the UAV track prediction coordinate system as shown in Figure 2, then step 2)
  • the UAV described in equation (3) is out of control or
  • the boundary conditions under the power-loss fault state can be expressed as formula (4):
  • v 0x and v 0y are respectively the longitudinal and lateral velocity components of the predicted value v 0 of the initial failure velocity in the UAV track prediction coordinate system.
  • ⁇ vx and ⁇ vy are respectively the longitudinal and lateral velocity error components of the velocity error ⁇ v in the UAV track prediction coordinate system.
  • the crash location of the UAV can be calculated based on this, and its error distribution histogram is shown in Figure 3.
  • step 2) Substituting the boundary conditions of the unmanned aerial vehicle determined in step 2) in the out-of-control or out-of-power failure state into the step 1) established UAV out-of-control or out-of-power failure state in the landing track prediction model to calculate the UAV Falling speed and falling kinetic energy;
  • the landing speed of the drone is calculated according to formula (10):
  • E is the kinetic energy of the drone falling to the ground, and the unit is J.
  • step 5 According to the kinetic energy of UAV falling in step 4), combined with the protection coefficient of ground shelter and the energy threshold of casualties, calculate the casualty rate on the ground according to equation (12), and use this as a quantitative indicator to evaluate the drone
  • P f is the casualty rate of ground personnel
  • P s is the protection coefficient of ground shelters, and the value is 1
  • is the energy threshold for casualties when P s tends to 0, and the value is 34J
  • E is the kinetic energy of the UAV falling to the ground when the UAV is out of control or power failure
  • k is the correction factor.

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Abstract

A method for assessing the personal injury risk of an unmanned aerial vehicle crash in an out-of-control or power-loss fault state. The method comprises the steps of: establishing a falling track prediction model for an unmanned aerial vehicle in an out-of-control or power-loss fault state; setting a boundary condition; calculating position coordinates of an unmanned aerial vehicle crash location; calculating the falling speed and falling kinetic energy of the unmanned aerial vehicle; and calculating the casualty rate of people on the ground, taking the casualty rate as a quantitative index, assessing the risk of the unmanned aerial vehicle at the unmanned aerial vehicle crash location, etc.

Description

无人机失控或失去动力故障状态坠地伤人风险评估方法Risk assessment method for unmanned aerial vehicle out of control or loss of power failure state and falling to the ground and hurting people
相关申请的引用References to related applications
本公开要求于2020年10月9日向中华人民共和国国家知识产权局提交的申请号为202011072742.7、名称为“无人机失控或失去动力故障状态坠地伤人风险评估方法”的发明专利申请的全部权益,并通过引用的方式将其全部内容并入本文。This disclosure requires all the rights and interests of the invention patent application filed with the State Intellectual Property Office of the People's Republic of China on October 9, 2020, with the application number 202011072742.7, titled "The Risk Assessment Method for the Risk of Falling to the Ground and Injury by the Drone Out of Control or Loss of Power Failure State" , And incorporate its entire content into this article by reference.
技术领域Technical field
本公开属于无人机技术领域,特别是涉及无人机失控或失去动力故障状态坠地伤人风险评估方法。The present disclosure belongs to the technical field of unmanned aerial vehicles, and in particular relates to a method for assessing the risk of an unmanned aerial vehicle falling to the ground and hurting people when it is out of control or loses power.
背景技术Background technique
对无人机坠地致伤区域的预测和坠地动能的估算是评估其坠地伤人风险的关键环节。目前的研究大多通过对无人机失效航迹的建模实现坠地区域预测,主要建模方法有经验估算法和建模分析法。其中,经验估算法依据无人机的重量、尺寸及类别,参考载人飞机或无人机历史失事数据,估算无人机失效后的航迹和受影响区域。经验估算法又可进一步分为基于航空器重量和基于航空器尺寸及类型的两种方法。建模分析法主要依据空气动力学模型和运动学模型预测坠落航迹,计算无人机失效后的受影响区域范围。The prediction of the area where the UAV falls and the estimation of the kinetic energy of the fall is a key link in assessing the risk of injury from its fall. Most of the current researches use the modeling of the UAV's failure trajectory to predict the landing area. The main modeling methods include empirical estimation method and modeling analysis method. Among them, the empirical estimation method is based on the weight, size and category of the UAV, referring to the historical data of manned aircraft or UAV crashes, to estimate the trajectory and affected area after the UAV fails. The empirical estimation method can be further divided into two methods based on aircraft weight and aircraft size and type. The modeling analysis method is mainly based on the aerodynamic model and the kinematic model to predict the fall track, and calculate the range of the affected area after the UAV fails.
现有技术存在两个主要问题,其一是尚未有针对无人机失控或失去动力故障状态的无人机失效坠地航迹预测模型;其二是尚未有考虑失效边界条件误差的模型,包括初始失效位置误差和失效初始速度误差。There are two main problems in the prior art. One is that there is no model for predicting the trajectory of the unmanned aerial vehicle that is out of control or power failure; the other is that there is no model that considers the error of the failure boundary condition, including the initial failure state. Failure position error and failure initial velocity error.
但是作为失效航迹建模的输入,首先需要确定其初始失效位置和失效初速 度及相关误差,并以此为失效边界条件。目前技术缺乏对此研究。无人机在失效坠落前初始位置对预测输出的精确性影响重大,直接关系到地面人员的风险。因此,有必要开展基于航迹预测的无人机失控或失去动力故障状态坠地伤人风险评估方法研究。However, as the input of failure trajectory modeling, it is first necessary to determine its initial failure location, initial failure velocity and related errors, and use this as the failure boundary condition. The current technology lacks this research. The initial position of the drone before it fails and falls has a significant impact on the accuracy of the prediction output, which is directly related to the risk of ground personnel. Therefore, it is necessary to carry out research on the risk assessment method of unmanned aerial vehicle's loss of control or loss of power failure state based on trajectory prediction.
公开内容Public content
本公开提供的无人机失控或失去动力故障状态坠地伤人风险评估方法包括按顺序进行的下列步骤:The risk assessment method of the unmanned aerial vehicle falling out of control or losing power failure state provided by the present disclosure includes the following steps in order:
1)建立无人机失控或失去动力故障状态下的坠地航迹预测模型;1) Establish a prediction model for the landing track when the UAV is out of control or power failure;
2)设定无人机失控或失去动力故障状态下的边界条件;2) Set the boundary conditions when the UAV is out of control or loses power failure state;
3)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地点的位置坐标,并分析坠地点处的误差分布;3) Substitute the boundary conditions of the UAV in the out-of-control or power-off failure state determined in step 2) into step 1) to calculate the UAV's trajectory prediction model established in the out-of-control or power-off failure state of the UAV. The location coordinates of the crash site, and analyze the error distribution at the crash site;
4)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地速度和坠地动能;以及4) Substituting the boundary conditions of the unmanned aerial vehicle determined in step 2) in the out-of-control or out-of-power failure state into the step 1) established UAV out-of-control or out-of-power failure state in the landing track prediction model to calculate the UAV Falling speed and falling kinetic energy; and
5)根据步骤4)获得的无人机坠地动能,结合地面遮蔽物保护系数和人员伤亡的能量阈值,计算出地面人员伤亡率,并以此为量化指标,评估无人机在步骤3)中获得的无人机坠地点处的风险。5) According to the kinetic energy of UAV falling in step 4), combined with the protection coefficient of ground shelter and the energy threshold of casualties, calculate the casualty rate of ground personnel, and use this as a quantitative index to evaluate the drone in step 3) Obtain the risk at the location where the drone fell.
在步骤1)中,所述的无人机失控或失去动力故障状态下的坠地航迹预测模型为:In step 1), the predictive model of the flight path when the UAV is out of control or power failure state is:
Figure PCTCN2021095437-appb-000001
Figure PCTCN2021095437-appb-000001
式中:m为无人机质量,单位为kg;g为重力加速度,单位为m/s 2;x、y、h分别为纵向、侧向和高度方向的位移,单位为m;t为无人机坠落时间,单位为s;D x、D y、D h分别为纵向、侧向和高度方向的空气阻力,单位为N; Where: m is the mass of the drone, in kg; g is the acceleration of gravity, in m/s 2 ; x, y, and h are the displacements in the longitudinal, lateral and height directions, in m; t is none The falling time of the man-machine, the unit is s; D x , D y , and D h are the air resistance in the longitudinal, lateral and height directions, and the unit is N;
将空气阻力用无人机迎风面积和空气阻力系数展开,式(1)可表示成式(2):Expanding the air resistance with the windward area of the drone and the air resistance coefficient, equation (1) can be expressed as equation (2):
Figure PCTCN2021095437-appb-000002
Figure PCTCN2021095437-appb-000002
式中:c D为空气阻力系数;ρ A为空气密度,单位为kg/m 3;A x、A y、A h分别为纵向、侧向和高度方向的迎风面积,单位为m 2Where: c D is the air resistance coefficient; ρ A is the density of air is kg / m 3; A x, A y, A h is the frontal area of each longitudinal, lateral and height directions, in units of m 2.
在步骤2)中,所述的无人机失控或失去动力故障状态下的边界条件如式(3)所示:In step 2), the boundary conditions of the unmanned aerial vehicle in the out-of-control or power-loss fault state are shown in formula (3):
Figure PCTCN2021095437-appb-000003
Figure PCTCN2021095437-appb-000003
式中:x,y,h,v分别为失效初始纵向位置、侧向位置、高度位置和失效初始速度;x 0,y 0,h 0,v 0分别为失效初始预测点纵向坐标、侧向坐标、高度坐标和失效初始 速度的预测值;ε xyhv分别为纵向坐标误差、侧向坐标误差、高度坐标误差和速度误差。 Where: x, y, h, v are the initial longitudinal position, lateral position, height position and initial velocity of the failure respectively; x 0 , y 0 , h 0 , v 0 are the longitudinal coordinate and lateral direction of the initial failure prediction point, respectively Coordinates, height coordinates and the predicted value of the initial failure speed; ε x , ε y , ε h , and ε v are the longitudinal coordinate error, the lateral coordinate error, the height coordinate error and the velocity error, respectively.
在步骤3)中,所述的将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地点的位置坐标的方法是:In step 3), the boundary conditions determined in step 2) are substituted for the unmanned aerial vehicle's out-of-control or power-loss fault state determined in step 1) to establish the unmanned aerial vehicle's out-of-control or power-off fault condition. In, the method to calculate the location coordinates of the drone's crash site is:
以失效初始预测点坐标(x 0,y 0,h 0)为原点建立无人机航迹预测坐标系,则步骤2)中式(3)所述的无人机失控或失去动力故障状态下的边界条件可以表示成式(4): Take the coordinates of the initial prediction point of failure (x 0 , y 0 , h 0 ) as the origin to establish the UAV trajectory prediction coordinate system, then step 2) The unmanned aerial vehicle described in formula (3) is out of control or loses power. The boundary conditions can be expressed as formula (4):
Figure PCTCN2021095437-appb-000004
Figure PCTCN2021095437-appb-000004
将式(2)积分并带入式(4)中,得到如式(5)—(7)所示的无人机坠地点计算公式:Incorporating the integral of formula (2) into formula (4), the formula for calculating the crash location of the drone as shown in formulas (5)—(7) is obtained:
Figure PCTCN2021095437-appb-000005
Figure PCTCN2021095437-appb-000005
Figure PCTCN2021095437-appb-000006
Figure PCTCN2021095437-appb-000006
Figure PCTCN2021095437-appb-000007
Figure PCTCN2021095437-appb-000007
式中,v 0x和v 0y分别为失效初始速度的预测值v 0在无人机航迹预测坐标系中纵向和侧向的速度分量;ε vx和ε vy分别为速度误差ε v在无人机航迹预测坐标系中纵向和侧向的速度误差分量; Where v 0x and v 0y are respectively the predicted value of the initial failure speed. v 0 is the longitudinal and lateral velocity components in the UAV track prediction coordinate system; ε vx and ε vy are the velocity errors ε v in the unmanned The longitudinal and lateral velocity error components in the aircraft trajectory prediction coordinate system;
由式(7)可以计算出,当无人机运行高度为h 0时,其坠落着地时间为: From equation (7), it can be calculated that when the drone's operating altitude is h 0 , its landing time is:
Figure PCTCN2021095437-appb-000008
Figure PCTCN2021095437-appb-000008
将式(8)代入式(5)和式(6),计算出无人机在纵向和侧向的运行距离为:Substituting formula (8) into formula (5) and formula (6), the running distance of the UAV in the longitudinal and lateral directions is calculated as:
Figure PCTCN2021095437-appb-000009
Figure PCTCN2021095437-appb-000009
在步骤4)中,所述的无人机坠地速度根据式(10)计算:In step 4), the landing speed of the drone is calculated according to formula (10):
Figure PCTCN2021095437-appb-000010
Figure PCTCN2021095437-appb-000010
无人机坠地动能根据式(11)计算:The kinetic energy of UAV falling to the ground is calculated according to formula (11):
Figure PCTCN2021095437-appb-000011
Figure PCTCN2021095437-appb-000011
式中,E为无人机坠地动能,单位为J。In the formula, E is the kinetic energy of the drone falling to the ground, and the unit is J.
在步骤5)中,所述的地面人员伤亡率的计算公式为:In step 5), the formula for calculating the casualty rate of ground personnel is:
Figure PCTCN2021095437-appb-000012
Figure PCTCN2021095437-appb-000012
式中:P f为地面人员伤亡率;P s为地面遮蔽物保护系数,取值为1;α为当P s=6时,人员伤亡率为50%所需的冲击能量,取值为100kJ;β是当P s趋向于0 时人员伤亡的能量阈值,取值为34J;E为无人机失控或失去动力故障状态下的无人机坠地动能;k为校正因子。 In the formula: P f is the casualty rate of ground personnel; P s is the protection coefficient of ground shelters, and the value is 1; α is the impact energy required for the casualty rate of 50% when P s =6, and the value is 100kJ ; Β is the energy threshold for casualties when P s tends to 0, and the value is 34J; E is the kinetic energy of the drone when the drone is out of control or power failure; k is the correction factor.
本公开提供的无人机失控或失去动力故障状态坠地伤人风险评估方法的某些实施方案具有如下有益效果:在建立失效坠地航迹预测模型过程中考虑了无人机失效或失去动力状态的精确运动学行为,同时在设定预测边界条件过程中,考虑了失效初始位置误差和失效初始速度误差,能够更加精确地预测出无人机坠地点和坠地动能,本方法可为无人机坠地伤人风险量化评估提供更为有效的支撑。Certain embodiments of the method for assessing the risk of a person falling to the ground in a failure state of a drone provided by the present disclosure have the following beneficial effects: the failure or loss of power state of the drone is considered in the process of establishing a failed ground trajectory prediction model. Accurate kinematics behavior, and in the process of setting prediction boundary conditions, considering the error of the initial failure position and the error of the initial failure velocity, it can more accurately predict the crash location and kinetic energy of the UAV. This method can be used for the UAV to fall to the ground. Quantitative assessment of injury risk provides more effective support.
附图说明Description of the drawings
图1为本公开中无人机失控或失去动力故障状态下的边界条件示意图。Fig. 1 is a schematic diagram of the boundary conditions of the unmanned aerial vehicle in the state of failure of control or loss of power in the present disclosure.
图2为本公开中无人机航迹预测坐标系示意图。Figure 2 is a schematic diagram of the UAV track prediction coordinate system in this disclosure.
图3为本公开中无人机航迹预测坐标系示意图。Figure 3 is a schematic diagram of the UAV track prediction coordinate system in this disclosure.
具体实施方式Detailed ways
下面结合附图和具体实施例对本公开进行详细说明。The present disclosure will be described in detail below with reference to the drawings and specific embodiments.
本公开提供的无人机失控或失去动力故障状态坠地伤人风险评估方法包括按顺序进行的下列步骤1)、2)、3)、4)和5):The risk assessment method of the unmanned aerial vehicle falling out of control or losing power failure state provided by the present disclosure includes the following steps 1), 2), 3), 4) and 5) in order:
1)建立无人机失控或失去动力故障状态下的坠地航迹预测模型;1) Establish a prediction model for the landing track when the UAV is out of control or power failure;
将无人机在失控或失去动力故障工况下的坠地航迹模拟为自由落体运动或抛体运动模型,考虑坠落过程中的空气阻力,对无人机进行受力分析。在建模过程中,忽略无人机在下落过程所受风力的影响。将无人机坠落后的运动分解到纵向、侧向和高度方向,其运动方程如式(1)所示,并以此作为无人机在失控或失去动力故障状态下的坠地航迹预测模型。Simulate the landing track of the UAV under the condition of loss of control or power failure as a free fall motion or projectile motion model, and consider the air resistance during the fall to analyze the force of the UAV. In the modeling process, the influence of wind on the UAV's falling process is ignored. The motion of the UAV after falling is decomposed into longitudinal, lateral and height directions, and its motion equation is shown in equation (1), and this is used as the prediction model of the UAV's falling track in the state of loss of control or power failure. .
Figure PCTCN2021095437-appb-000013
Figure PCTCN2021095437-appb-000013
式中:m为无人机质量,单位为kg;g为重力加速度,单位为m/s 2;x、y、h分别为纵向、侧向和高度方向的位移,单位为m;t为无人机坠落时间,单位为s;D x、D y、D h分别为纵向、侧向和高度方向的空气阻力,单位为N。 Where: m is the mass of the drone, in kg; g is the acceleration of gravity, in m/s 2 ; x, y, and h are the displacements in the longitudinal, lateral and height directions, in m; t is none The falling time of the man-machine, the unit is s; D x , D y , and D h are the air resistance in the longitudinal, lateral and height directions, and the unit is N.
将空气阻力用无人机迎风面积和空气阻力系数展开,式(1)可表示成式(2):Expanding the air resistance with the windward area of the drone and the air resistance coefficient, equation (1) can be expressed as equation (2):
Figure PCTCN2021095437-appb-000014
Figure PCTCN2021095437-appb-000014
式中:c D为空气阻力系数;ρ A为空气密度,单位为kg/m 3;A x、A y、A h分别为纵向、侧向和高度方向的迎风面积,单位为m 2Where: c D is the air resistance coefficient; ρ A is the density of air is kg / m 3; A x, A y, A h is the frontal area of each longitudinal, lateral and height directions, in units of m 2.
2)设定无人机失控或失去动力故障状态下的边界条件;2) Set the boundary conditions when the UAV is out of control or loses power failure state;
无人机失控或失去动力故障状态的边界条件如图1所示,包括失效初始位置和失效初始速度两部分,其中失效初始位置又包括纵向位置、侧向位置和高度。失效初始位置由失效初始预测点坐标和坐标误差组成,失效初始速度由失效初始速度预测值和速度误差组成,边界条件如式(3)所示。The boundary conditions of the failure state of the unmanned aerial vehicle out of control or loss of power are shown in Fig. 1, including the initial position of failure and the initial velocity of failure. The initial position of failure includes longitudinal position, lateral position and height. The initial failure position is composed of the coordinates of the initial failure prediction point and the coordinate error. The initial failure velocity is composed of the initial failure velocity prediction value and the velocity error. The boundary conditions are shown in equation (3).
无人机的位置误差遵循均值为零的三维高斯分布规律,且位置误差在纵向、侧向和高度三个方向相互独立。无人机的速度误差由其设计性能决定,通常在±20%以内,由设计参数给出。The position error of the UAV follows the three-dimensional Gaussian distribution law with a mean value of zero, and the position error is independent of each other in the longitudinal, lateral and height directions. The speed error of the UAV is determined by its design performance, usually within ±20%, given by the design parameters.
Figure PCTCN2021095437-appb-000015
Figure PCTCN2021095437-appb-000015
式中:x,y,h,v分别为失效初始纵向位置、侧向位置、高度位置和失效初始速度;x 0,y 0,h 0,v 0分别为失效初始预测点纵向坐标、侧向坐标、高度坐标和失效初始速度的预测值;ε xyhv分别为纵向坐标误差、侧向坐标误差、高度坐标误差和速度误差。 Where: x, y, h, v are the initial longitudinal position, lateral position, height position and initial velocity of the failure respectively; x 0 , y 0 , h 0 , v 0 are the longitudinal coordinate and lateral direction of the initial failure prediction point, respectively Coordinates, height coordinates and the predicted value of the initial failure speed; ε x , ε y , ε h , and ε v are the longitudinal coordinate error, the lateral coordinate error, the height coordinate error and the velocity error, respectively.
无人机的纵向坐标误差、侧向坐标误差、高度坐标误差和速度误差均遵循正态分布规律,由无人机设计性能决定,通过设计参数给出。The longitudinal coordinate error, lateral coordinate error, altitude coordinate error and speed error of the UAV all follow the normal distribution law, which is determined by the design performance of the UAV and is given by the design parameters.
3)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地点的位置坐标,并分析坠地点处的误差分布;3) Substitute the boundary conditions of the UAV in the out-of-control or power-off failure state determined in step 2) into step 1) to calculate the UAV's trajectory prediction model established in the out-of-control or power-off failure state of the UAV. The location coordinates of the crash site, and analyze the error distribution at the crash site;
以失效初始预测点坐标(x 0,y 0,h 0)为原点建立如图2所示的无人机航迹预测坐标系,则步骤2)中式(3)所述的无人机失控或失去动力故障状态下的边界条件可以表示成式(4): Take the coordinates of the initial prediction point of failure (x 0 , y 0 , h 0 ) as the origin to establish the UAV track prediction coordinate system as shown in Figure 2, then step 2) The UAV described in equation (3) is out of control or The boundary conditions under the power-loss fault state can be expressed as formula (4):
Figure PCTCN2021095437-appb-000016
Figure PCTCN2021095437-appb-000016
将式(2)积分并带入式(4)中,得到如式(5)—(7)所示的无人机坠地点计算公式:Incorporating the integral of formula (2) into formula (4), the formula for calculating the crash location of the drone as shown in formulas (5)—(7) is obtained:
Figure PCTCN2021095437-appb-000017
Figure PCTCN2021095437-appb-000017
Figure PCTCN2021095437-appb-000018
Figure PCTCN2021095437-appb-000018
Figure PCTCN2021095437-appb-000019
Figure PCTCN2021095437-appb-000019
式中,v 0x和v 0y分别为失效初始速度的预测值v 0在无人机航迹预测坐标系中纵向和侧向的速度分量。ε vx和ε vy分别为速度误差ε v在无人机航迹预测坐标系中纵向和侧向的速度误差分量。 In the formula, v 0x and v 0y are respectively the longitudinal and lateral velocity components of the predicted value v 0 of the initial failure velocity in the UAV track prediction coordinate system. ε vx and ε vy are respectively the longitudinal and lateral velocity error components of the velocity error ε v in the UAV track prediction coordinate system.
由式(7)可以计算出,当无人机运行高度为h 0时,其坠落着地时间为: From equation (7), it can be calculated that when the drone's operating altitude is h 0 , its landing time is:
Figure PCTCN2021095437-appb-000020
Figure PCTCN2021095437-appb-000020
将式(8)代入式(5)和式(6),计算出无人机在纵向和侧向的运行距离为:Substituting formula (8) into formula (5) and formula (6), the running distance of the UAV in the longitudinal and lateral directions is calculated as:
Figure PCTCN2021095437-appb-000021
Figure PCTCN2021095437-appb-000021
如式(9)所示,无人机的坠地点可据此计算,其误差分布直方图如图3所示。As shown in equation (9), the crash location of the UAV can be calculated based on this, and its error distribution histogram is shown in Figure 3.
4)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地速度和坠地动能;4) Substituting the boundary conditions of the unmanned aerial vehicle determined in step 2) in the out-of-control or out-of-power failure state into the step 1) established UAV out-of-control or out-of-power failure state in the landing track prediction model to calculate the UAV Falling speed and falling kinetic energy;
无人机坠地速度根据式(10)计算:The landing speed of the drone is calculated according to formula (10):
Figure PCTCN2021095437-appb-000022
Figure PCTCN2021095437-appb-000022
无人机坠地动能根据式(11)计算:The kinetic energy of UAV falling to the ground is calculated according to formula (11):
Figure PCTCN2021095437-appb-000023
Figure PCTCN2021095437-appb-000023
式中,E为无人机坠地动能,单位为J。In the formula, E is the kinetic energy of the drone falling to the ground, and the unit is J.
5)根据步骤4)获得的无人机坠地动能,结合地面遮蔽物保护系数和人员伤亡的能量阈值,根据式(12)计算出地面人员伤亡率,并以此为量化指标,评估无人机在步骤3)中获得的无人机坠地点处的风险:5) According to the kinetic energy of UAV falling in step 4), combined with the protection coefficient of ground shelter and the energy threshold of casualties, calculate the casualty rate on the ground according to equation (12), and use this as a quantitative indicator to evaluate the drone The risk at the crash site of the drone obtained in step 3):
Figure PCTCN2021095437-appb-000024
Figure PCTCN2021095437-appb-000024
式中:P f为地面人员伤亡率;P s为地面遮蔽物保护系数,取值为1;α为当P s=6时,人员伤亡率为50%所需的冲击能量,取值为100kJ;β是当P s趋向于0时人员伤亡的能量阈值,取值为34J;E为无人机失控或失去动力故障状态下的无人机坠地动能;k为校正因子。 In the formula: P f is the casualty rate of ground personnel; P s is the protection coefficient of ground shelters, and the value is 1; α is the impact energy required for the casualty rate of 50% when P s =6, and the value is 100kJ ; Β is the energy threshold for casualties when P s tends to 0, and the value is 34J; E is the kinetic energy of the UAV falling to the ground when the UAV is out of control or power failure; k is the correction factor.

Claims (6)

  1. 无人机失控或失去动力故障状态坠地伤人风险评估方法,其包括按顺序进行的下列步骤:The risk assessment method of a drone falling to the ground and hurting people in a failure state of losing control or loss of power includes the following steps in order:
    1)建立无人机失控或失去动力故障状态下的坠地航迹预测模型;1) Establish a prediction model for the landing track when the UAV is out of control or power failure;
    2)设定无人机失控或失去动力故障状态下的边界条件;2) Set the boundary conditions when the UAV is out of control or loses power failure state;
    3)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地点的位置坐标,并分析坠地点处的误差分布;3) Substitute the boundary conditions of the UAV in the out-of-control or power-off failure state determined in step 2) into step 1) to calculate the UAV's trajectory prediction model established in the out-of-control or power-off failure state of the UAV. The location coordinates of the crash site, and analyze the error distribution at the crash site;
    4)将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠地航迹预测模型中,计算出无人机坠地速度和坠地动能;以及4) Substituting the boundary conditions of the unmanned aerial vehicle determined in step 2) in the out-of-control or out-of-power failure state into the step 1) established UAV out-of-control or out-of-power failure state in the landing track prediction model to calculate the UAV Falling speed and falling kinetic energy; and
    5)根据步骤4)获得的无人机坠地动能,结合地面遮蔽物保护系数和人员伤亡的能量阈值,计算出地面人员伤亡率,并以此为量化指标,评估无人机在步骤3)中获得的无人机坠地点处的风险。5) According to the kinetic energy of the UAV in step 4), combined with the protection coefficient of the ground shelter and the energy threshold of casualties, calculate the casualty rate of ground personnel, and use this as a quantitative indicator to evaluate the drone in step 3) Obtain the risk at the location where the drone fell.
  2. 如权利要求1所述的无人机失控或失去动力故障状态坠地伤人风险评估方法,其中:在步骤1)中,所述的无人机失控或失去动力故障状态下的坠地航迹预测模型为:The method for assessing the risk of falling to the ground and hurting people in a failure state of a UAV out of control or loss of power according to claim 1, wherein: in step 1), the prediction model of the landing track of the UAV in the state of out of control or power out of power failure for:
    Figure PCTCN2021095437-appb-100001
    Figure PCTCN2021095437-appb-100001
    式中:m为无人机质量,单位为kg;g为重力加速度,单位为m/s 2;x、y、h分别为纵向、侧向和高度方向的位移,单位为m;t为无人机坠落时间,单位 为s;D x、D y、D h分别为纵向、侧向和高度方向的空气阻力,单位为N; Where: m is the mass of the drone, in kg; g is the acceleration of gravity, in m/s 2 ; x, y, and h are the displacements in the longitudinal, lateral and height directions, in m; t is none The falling time of the man-machine, the unit is s; D x , D y , and D h are the air resistance in the longitudinal, lateral and height directions, and the unit is N;
    将空气阻力用无人机迎风面积和空气阻力系数展开,式(1)可表示成式(2):Expanding the air resistance with the windward area of the drone and the air resistance coefficient, equation (1) can be expressed as equation (2):
    Figure PCTCN2021095437-appb-100002
    Figure PCTCN2021095437-appb-100002
    式中:c D为空气阻力系数;ρ A为空气密度,单位为kg/m 3;A x、A y、A h分别为纵向、侧向和高度方向的迎风面积,单位为m 2Where: c D is the air resistance coefficient; ρ A is the density of air is kg / m 3; A x, A y, A h is the frontal area of each longitudinal, lateral and height directions, in units of m 2.
  3. 如权利要求1所述的无人机失控或失去动力故障状态坠地伤人风险评估方法,其中:在步骤2)中,所述的无人机失控或失去动力故障状态下的边界条件如式(3)所示:The method for assessing the risk of falling to the ground and hurting people in a failure state of a UAV out of control or loss of power according to claim 1, wherein: in step 2), the boundary conditions of the UAV out of control or out of power failure state are as follows ( 3) Shown:
    Figure PCTCN2021095437-appb-100003
    Figure PCTCN2021095437-appb-100003
    式中:x,y,h,v分别为失效初始纵向位置、侧向位置、高度位置和失效初始速度;x 0,y 0,h 0,v 0分别为失效初始预测点纵向坐标、侧向坐标、高度坐标和失效初始速度的预测值;ε xyhv分别为纵向坐标误差、侧向坐标误差、高度坐标误差和速度误差。 Where: x, y, h, v are the initial longitudinal position, lateral position, height position and initial velocity of the failure respectively; x 0 , y 0 , h 0 , v 0 are the longitudinal coordinate and lateral direction of the initial failure prediction point, respectively Coordinates, height coordinates and the predicted value of the initial failure speed; ε x , ε y , ε h , and ε v are the longitudinal coordinate error, the lateral coordinate error, the height coordinate error and the velocity error, respectively.
  4. 如权利要求1所述的无人机失控或失去动力故障状态坠地伤人风险评估方法,其中:在步骤3)中,所述的将步骤2)确定的无人机失控或失去动力故障状态下的边界条件代入步骤1)建立的无人机失控或失去动力故障状态下的坠 地航迹预测模型中,计算出无人机坠地点的位置坐标的方法是:The method for assessing the risk of injury by falling to the ground in a failure state of a UAV out of control or loss of power according to claim 1, wherein: in step 3), said step 2) determines that the UAV is out of control or in a failure state of power loss. Substitute the boundary conditions of step 1) into the prediction model of the flight path of the UAV under the condition that the UAV is out of control or power failure. The method to calculate the location coordinates of the UAV crash is:
    以失效初始预测点坐标(x 0,y 0,h 0)为原点建立无人机航迹预测坐标系,则步骤2)中式(3)所述的无人机失控或失去动力故障状态下的边界条件可以表示成式(4): Use the coordinates of the initial prediction point of failure (x 0 , y 0 , h 0 ) as the origin to establish the UAV trajectory prediction coordinate system, then step 2) The unmanned aerial vehicle described in formula (3) is out of control or loses power. The boundary conditions can be expressed as formula (4):
    Figure PCTCN2021095437-appb-100004
    Figure PCTCN2021095437-appb-100004
    将式(2)积分并带入式(4)中,得到如式(5)—(7)所示的无人机坠地点计算公式:Incorporating the integral of formula (2) into formula (4), the formula for calculating the crash location of the drone as shown in formulas (5)—(7) is obtained:
    Figure PCTCN2021095437-appb-100005
    Figure PCTCN2021095437-appb-100005
    Figure PCTCN2021095437-appb-100006
    Figure PCTCN2021095437-appb-100006
    Figure PCTCN2021095437-appb-100007
    Figure PCTCN2021095437-appb-100007
    式中,v 0x和v 0y分别为失效初始速度的预测值v 0在无人机航迹预测坐标系中纵向和侧向的速度分量;ε vx和ε vy分别为速度误差ε v在无人机航迹预测坐标系中纵向和侧向的速度误差分量; Where v 0x and v 0y are respectively the predicted value of the initial failure speed. v 0 is the longitudinal and lateral velocity components in the UAV track prediction coordinate system; ε vx and ε vy are the velocity errors ε v in the unmanned The longitudinal and lateral velocity error components in the aircraft trajectory prediction coordinate system;
    由式(7)可以计算出,当无人机运行高度为h 0时,其坠落着地时间为: From equation (7), it can be calculated that when the drone's operating altitude is h 0 , its landing time is:
    Figure PCTCN2021095437-appb-100008
    Figure PCTCN2021095437-appb-100008
    将式(8)代入式(5)和式(6),计算出无人机在纵向和侧向的运行距离为:Substituting formula (8) into formula (5) and formula (6), the running distance of the UAV in the longitudinal and lateral directions is calculated as:
    Figure PCTCN2021095437-appb-100009
    Figure PCTCN2021095437-appb-100009
  5. 如权利要求1所述的无人机失控或失去动力故障状态坠地伤人风险评估方法,其中:在步骤4)中,所述的无人机坠地速度根据式(10)计算:The method for assessing the risk of falling to the ground and hurting people in a failure state of an unmanned aerial vehicle out of control or loss of power according to claim 1, wherein: in step 4), the falling speed of the unmanned aerial vehicle is calculated according to formula (10):
    Figure PCTCN2021095437-appb-100010
    Figure PCTCN2021095437-appb-100010
    无人机坠地动能根据式(11)计算:The kinetic energy of UAV falling to the ground is calculated according to formula (11):
    Figure PCTCN2021095437-appb-100011
    Figure PCTCN2021095437-appb-100011
    式中,E为无人机坠地动能,单位为J。In the formula, E is the kinetic energy of the drone falling to the ground, and the unit is J.
  6. 如权利要求1所述的无人机失控或失去动力故障状态坠地伤人风险评估方法,其中:在步骤5)中,所述的地面人员伤亡率的计算公式为:The method for assessing the risk of injury by falling to the ground in a failure state of a UAV out of control or loss of power according to claim 1, wherein: in step 5), the calculation formula for the casualty rate of ground personnel is:
    Figure PCTCN2021095437-appb-100012
    Figure PCTCN2021095437-appb-100012
    式中:P f为地面人员伤亡率;P s为地面遮蔽物保护系数,取值为1;α为当P s=6时,人员伤亡率为50%所需的冲击能量,取值为100kJ;β是当P s趋向于0时人员伤亡的能量阈值,取值为34J;E为无人机失控或失去动力故障状态下的无人机坠地动能;k为校正因子。 In the formula: P f is the casualty rate of ground personnel; P s is the protection coefficient of ground shelters, and the value is 1; α is the impact energy required for the casualty rate of 50% when P s =6, and the value is 100kJ ; Β is the energy threshold for casualties when P s tends to 0, and the value is 34J; E is the kinetic energy of the UAV falling to the ground when the UAV is out of control or power failure; k is the correction factor.
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