基于集合卡尔曼滤波的实时校正方法
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TV131.2

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水体污染控制与治理科技重大专项(2012ZX07101-011);国家自然科学基金(51379059, 51279047)


A real-time alternating updating method based on ensemble Kalman filter
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    摘要:

    为减少非恒定水流计算中的不确定性,基于集合卡尔曼滤波提出多变量交替校正的方法。该方法通过交替校正水位和流量,避开了滤波过程中的大矩阵计算,实现了利用观测信息直接校正非恒定流状态的目的;同时,应用尺度转换方法提高水位滤波精度。数值试验重点考察了观测误差和水位变换系数对模型计算精度的影响。结果表明:观测误差越小,模型的计算精度越高;水位尺度变换系数能显著增强多变量交替校正方法的效果,变换系数越大,计算精度越高;基于集合卡尔曼滤波的多变量交替校正方法具有良好的校正性能,能显著提高河道水流的预报精度。

    Abstract:

    To reduce the uncertainty in calculation of unsteady flows, a multivariate alternate updating method is proposed based on the ensemble Kalman filter. This method updates water stage and discharge data alternately to calibrate unsteady flow, using the observed information without the large matrix calculating; meanwhile, scaling transformation is used in order to improve the water level filter precision. Numerical experiments emphatically investigate the effects of measurement accuracy and water level transformation coefficient on forecast precision of the method. The results show that the forecast error increases as the measurement accuracy decreases; the water level transformation coefficient can obviously improve the effect of the multivariate alternate updating method, the larger the water level transformation coefficient is, the higher the forecast precision will be; the multivariate alternate updating method has good calibrating performance and can improve forecast accuracy of unsteady flows in open channel.

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顾炉华,赖锡军.基于集合卡尔曼滤波的实时校正方法[J].水利水电科技进展,2017,37(2):73-77.(GU Luhua, LAI Xijun. A real-time alternating updating method based on ensemble Kalman filter[J]. Advances in Science and Technology of Water Resources,2017,37(2):73-77.(in Chinese))

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历史
  • 收稿日期:2016-01-28
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  • 在线发布日期: 2017-03-03
  • 出版日期: 2017-03-10