Zhou Zilong, Rui Yichao, Cai Xin, Lan Riyan, Cheng Ruishan
School of Resources and Safety Engineering, Central South University, Changsha 410083, China.
Sensors (Basel). 2020 Jun 23;20(12):3553. doi: 10.3390/s20123553.
A closed-form method of acoustic emission (AE) source location for a velocity-free system using complete time difference of arrival (TDOA) measurements is proposed in this paper. First, this method established the governing equation of unknown acoustic velocity for each sensor; then, the governing equations of each of the three sensors were transformed into a linear equation, which can form a system of linear equations with the complete TDOA measurements. Third, the least squares solutions of the AE source coordinate and acoustic velocity were separately solved by an orthogonal projection operator. The proposed method was verified by the pencil-lead break experiment, and the results showed that the location accuracy and stability of the proposed method were better than those of traditional methods. Moreover, a simulation test was carried out to investigate the influence of noise scales on the location accuracy, and the results further prove that the proposed method holds higher noise immunity than the traditional methods.
本文提出了一种基于完整到达时间差（TDOA）测量的无速度系统声发射（AE）源定位的闭式方法。首先，该方法建立了每个传感器未知声速的控制方程；然后，将三个传感器各自的控制方程转化为线性方程，该线性方程与完整的TDOA测量值可构成一个线性方程组。第三，通过正交投影算子分别求解AE源坐标和声速的最小二乘解。通过铅笔芯折断实验对所提方法进行了验证，结果表明所提方法的定位精度和稳定性优于传统方法。此外，还进行了模拟试验以研究噪声尺度对定位精度的影响，结果进一步证明所提方法比传统方法具有更高的抗噪声能力。
