半径确定的最小二乘圆拟合法在电缆卷绕监测中的应用

Application of Radius-Determined Least Squares Circle Fitting Method in Cable Winding Monitoring

摘要: 针对在电缆卷绕状态的监测中仅使用最小二乘法，而对电缆规格信息利用不充分的问题，设计了一种改进的圆拟合方法：半径确定的最小二乘圆拟合法，并以实验的方式研究了传感器角度分辨率、电缆直径、电缆外表面材料等诸多因素对电缆相对位置拟合精度的影响。实验结果表明：影响拟合精度的主要因素为测量数据的精度，而对于常见黑色橡胶外表的电缆，当传感器的随机测量误差小于7 mm时，本算法可以保证电缆相对位置的拟合误差小于1.5 mm。

Abstract: Aiming at the problem of using only the least square method in the monitoring of the cable winding state and using insufficient cable specification information, an improved circle fitting method is designed: the least squares fitting method for radius determination. The effects of sensor angular resolution, cable diameter, cable outer surface material and other factors on the fitting accuracy of cable relative position were studied experimentally. The experimental results show that the main factor affecting the fitting accuracy is the accuracy of the measured data. For the cable with common black rubber appearance, when the random measurement error of the sensor is less than 7 mm, the algorithm can ensure that the fitting error of the relative position of the cable is less than 1.5 mm.