Design of an active stabilized drogue for aerial refueling
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摘要:
为了降低空中加油受油机头波效应对软管-锥套系统产生的气动扰动影响,设计了一种加装环形翼的主动增稳锥套。利用动态模型,进行了对接过程中头波效应的仿真分析,确定了能满足条件的环形翼设计方案,并设计了适用于环形翼的线性二次型调节器(LQR)控制器,利用Matlab/Simulink环境下搭建的空中加油测试平台及静态程序,对环形翼主动增稳效果及调整加油机和受油机相对位置的能力进行了仿真验证。仿真结果表明:所设计的主动增稳锥套能够减弱受油机头波效应的影响,将扰动控制在±5 cm的误差范围内,在抵抗干扰的同时还具有调整与加油机和受油机相对位置的能力。
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关键词:
- 软式空中加油 /
- 头波效应 /
- 增稳锥套 /
- 计算流体力学(CFD) /
- LQR控制
Abstract:In order to reduce the aerodynamic disturbance caused by the bow wave effect on the hose-drogue system during aerial refueling, an actively stabilized drogue with an annular wing was designed. Using a dynamic model, a simulation analysis of the bow wave effect during the docking process was conducted to determine a feasible design scheme for the annular wing. An linear quadratic regulator (LQR) controller suitable for the annular wing was designed, and simulation verification of the effectiveness of the annular wing and the capability to adjust the relative positions of the tanker and receiver aircraft was performed using a Matlab/Simulink environment-based aerial refueling test platform and a static program. The simulation results indicated that the designed actively stabilized drogue can minimize the influence of the bow wave effect on the receiver aircraft within an error range of ±5 cm, and can also mitigate disturbances and adjust the relative positions of the refueling and receiving aircraft.
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表 1 主动增稳锥套基本系数
Table 1. Baseline parameters of the stabilized drogue
参数 数值 $ {C}_{\mathrm{d}0} $ 3.77577 $ {C}_{\mathrm{l}0} $ − 0.0164 $ {C}_{\mathrm{c}0} $ 0 $ {C}_{\mathrm{n}0} $ 0 $ {C}_{\mathrm{m}0} $ 0.0168 表 2 主动增稳锥套攻角气动参数
Table 2. Drogue’s aerodynamic coefficients for 1 angle of attack change
参数 数值 $ {C}_{\mathrm{d}\alpha } $ 0 $ {C}_{\mathrm{l}\alpha } $ − 0.0082 $ {C}_{\mathrm{c}\alpha } $ 0 $ {C}_{\mathrm{n}\alpha } $ 0 $ {C}_{\mathrm{m}\alpha } $ − 0.0084 表 3 主动增稳锥套侧滑角气动参数
Table 3. Drogue’s aerodynamic coefficients for 1 side slip angle change
参数 数值 $ {C}_{\mathrm{d}\beta } $ 0 $ {C}_{\mathrm{l}\beta } $ 0 $ {C}_{\mathrm{c}\beta } $ − 0.0082 $ {C}_{\mathrm{n}\beta } $ −0.009 $ {C}_{\mathrm{m}\beta } $ 0 表 4 环形翼偏角气动参数
Table 4. Aerodynamic coefficients of the annular wing relative to 1 deflection angle change
参数 数值 $ {C}_{\mathrm{l}{\theta }_{1}} $ −0.05 $ {C}_{\mathrm{c}{\theta }_{1}} $ 0 $ {C}_{\mathrm{n}{\theta }_{1}} $ 0 $ {C}_{\mathrm{m}{\theta }_{1}} $ −0.016 表 5 软管和锥套参数
Table 5. Hose and drogue parameters
参数 数值 软管 全长/m 22.5 充油线密度/(kg/m) 4.205 内径/mm 50.8 外径/mm 67.31 弹性模量/107 Pa 1.379 锥套 质量/kg 30 锥套阻尼面积/m2 0.468 绕X轴转动惯量IXX 0.8 绕Y轴转动惯量IYY 1.1057 绕Z轴转动惯量IZZ 1.1057 环形翼投影面积/m2 0.0792 -
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