基于方差传递模型的大坝廊道注浆节点定位稳健优化

Robust optimization of nodes localization in dam corridor grouting based on transmitted variance model

针对大坝廊道注浆环境复杂造成无线信号传输受各种不确定性噪声因素影响较大等工程实际问题,基于不确定性分析理论中的方差传递模型,提出一种大坝廊道注浆节点定位稳健优化方法。考虑节点定位偏差的波动和噪声因子,采用最小二乘法对已测量的数据拟合得出多项式模型;根据定位偏差的方差、噪声因子的方差与接收信号强度(RSSI)方差的传递关系,估计RSSI的均值与方差。以最小化RSSI的均方差与无线传感网络能量消耗为稳健优化准则,对节点定位进行稳健优化。以实际注浆工程无线信号传输节点铺设为例,采用所提出的方法进行分析并与常规的极大似然估计定位方法进行对比。研究结果表明:与常规方法相比,所提出的方法可有效减少RSSI均方差的波动,降低信号传输过程中的能量损耗,信号传输更加稳定。

Due to the corridor complex environment of dam grouting, the wireless signal transmission will be influenced by various uncertainty noise factors. Based on the transmitted variance model of uncertainty analysis theory, a robust optimization method was proposed for nodes localization. Considering the nodes positioning deviation fluctuation and noise factors, the least square method was used to fit the polynomial model of measured data. According to the transitive relation between the variance of positioning deviation, the variance of noise factor and the variance of received signal strength indication（RSSI）, the mean value and variance of RSSI was estimated. Taking the minimization of the mean-square deviation of RSSI and the energy consumption of wireless sensor network as optimization goals, the robust optimization for the localization of the nodes was realized. The nodes localization process of practical grouting wireless signal transmission was taken as an example to verify the proposed method and compared with the conventional maximum likelihood estimation location method. The results show that the proposed method can effectively reduce the variance fluctuation of RSSI and the energy consumption during signal transmission, and the signal transmission process is more stable.