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arXiv 2005.01870physics.flu-dyn
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快速俯仰翼型升力系数的估算

Lift Coefficient Estimation for a Rapidly Pitching Airfoil

Xuanhong An, David R. Williams, Jeff D. Eldredge, Tim Colonius

摘要:

我们发展了一种估算快速俯仰翼型瞬时升力系数的方法,该方法使用少量的压力传感器和迎角测量值。该方法通过卡尔曼滤波器同化四个表面压力测量与修改的非线性状态空间模型(Goman-Khrabrov模型)。升力系数估计的误差仅基于测量的压力的加权和被发现是嘈杂的和有偏见的,这导致不准确的估计。通过在常规卡尔曼滤波器中包括预测模型来改进估计。Goman-Khrabrov模型被证明是一个线性参数变化系统,因此可以用于卡尔曼滤波器,而不需要线性化。通过修改算法以提供更精确的升力系数估计值,实现了额外的改进。改进的卡尔曼滤波方法的结果在无偏升力系数估计,是更精确的比基于压力的估计或Goman-Khrabrov模型本身。新方法将使性能依赖于升力的空气动力系统的性能得到增强。

英文摘要:

We develop a method for estimating the instantaneous lift coefficient on a rapidly pitching airfoil that uses a small number of pressure sensors and a measurement of the angle of attack. The approach assimilates four surface pressure measurements with a modified nonlinear state space model (Goman-Khrabrov model) through a Kalman filter. The error of lift coefficient estimates based only on a weighted-sum of the measured pressures are found to be noisy and biased, which leads to inaccurate estimates. The estimate is improved by including the predictive model in an conventional Kalman filter. The Goman-Khrabrov model is shown to be a linear parameter-varying system and can therefore be used in the Kalman filter without the need for linearization. Additional improvement is realized by modifying the algorithm to provide more accurate estimate of the lift coefficient. The improved Kalman filtering approach results in a bias-free lift coefficient estimate that is more precise than either the pressure-based estimate or the Goman-Khrabrov model on their own. The new method will enable performance enhancements in aerodynamic systems whose performance relies on lift.

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