大气误差附加约束的长距离RTK定位方法

Long-distance RTK positioning method with atmospheric error constraints

  • 摘要: 实时动态差分(real time kinematic, RTK)定位技术因其成本低、实时性强等优点,已成为实时位移监测领域的重要技术手段. 然而,随着跨海大桥、海上平台等远距离基础设施对高精度实时位移监测需求不断增长,常规RTK技术在长距离作业中,因测站间距离增加导致大气误差(对流层和电离层延迟)的空间相关性降低,差分后残余大气误差难以充分消除,严重影响模糊度的收敛从而影响定位精度. 针对这一问题,提出一种大气误差附加约束的长距离RTK定位方法:1)将经先验模型改正并进行差分后残余的对流层和电离层延迟参数化并纳入估计模型,针对残余误差分别建立先验约束:对流层残差基于台站间高差和测站距离构建先验方差,更全面地刻画长距离条件下对流层残差的不确定性;电离层残差结合纬度相关性构建先验方差,实现对定位参数解算过程的稳健约束;2)考虑大气误差的时变特性,采用随机游走过程对对流层和电离层参数进行动态估计,电离层活动变化大,随机游走噪声建模考虑基线长度和卫星高度角变化,使动态估计更符合实际情况. 基于国际GNSS服务组织(International GNSS Service, IGS)测站和海上平台实测数据开展试验,结果表明:相较于常规RTK方法,所提方法在不同的观测环境下均有效缩短了收敛时间和模糊度首次固定时间,显著提升了模糊度固定率,同时在水平和垂向定位精度上取得明显改善.

     

    Abstract: Real-time kinematic (RTK) positioning has become a crucial technique for real-time displacement monitoring due to its low cost and high real-time performance. However, as the demand for high-precision real-time displacement monitoring of long-distance infrastructure such as cross-sea bridges and offshore platforms increasing continuously. Conventional RTK technology suffers from reduced spatial correlation of atmospheric errors (tropospheric and ionospheric delays) during long-distance operations due to increased distances between measurement stations. This makes residual atmospheric errors difficult to fully eliminate after differential correction, severely impacting ambiguity resolution and consequently compromising positioning accuracy. To address this issue, a long-distance RTK positioning method with atmospheric error constraints is proposed: 1) Parameterize the residual tropospheric and ionospheric delays after prior model correction and differential processing, and incorporate them into the estimation model. Establish prior constraints for residual errors: construct prior variance for tropospheric residual based on differences between stations and station distances to more comprehensively characterize tropospheric residual uncertainty under long-distance conditions. Ionospheric residuals incorporate latitude-dependent prior variance to impose robust constraint on positioning parameter solutions. 2) To account for the time-varying nature of atmospheric errors, dynamic estimation of tropospheric and ionospheric parameters employs a random walk process. Given the significant variability in ionospheric activity, the random walk noise model considers baseline length and satellite elevation angle variations, ensuring the dynamic estimation better reflects real-world conditions. Experiments were conducted using data from International GNSS Service (IGS) stations and offshore platform measurements. Results demonstrate that compared to the conventional RTK method, the proposed method achieves faster convergence and reduces the time to first fix in different observation environments, enhances the ambiguity fixing rate, and achieves measurable improvements in both horizontal and vertical positioning accuracy.

     

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