| UHV transmission lines play a crucial role of the State Grid Corporation in the long-distance transmission of electricity.The geographical environment and the unpredictable climate produce a kind of low-frequency,large-amplitude self-excited vibrations.In severe cases,it may cause the line damage or result in the collapse of the transmission tower and other serious accidents.Therefore,taking the real-time monitoring for the transmission lines and using the spatial location information as the original data of remote monitoring research,can provide the accurate and reliable practical information for the maintenance of overall line,and have a higher reference value for the protection of the healthy operation for the grid.In this paper,we propose an arc-length parametric galloping reconstruction scheme of transmission line based on the relative information data of transmission line attitude,under the condition of joint constraint of arc length and space angle.According to the angle information measured by a certain arc-length interval installed sensors,when galloping happens in a single direction,the function between the distributed angles and the arc-length is established.The arc-length parametric curve could reconstruct by the angles and arc length constraint in two-dimensional plane and the plural plane.When galloping happens along multiple random directions,on the spatial vector rotation angle fitted by the standard uniform B-spline function,we proposed that the reconstruction equation of the transmission line could be solved by the rotation of the rigid body.At the same time,in the whole process,with the quaternion as the rotation operator,we proposed to put the low dimensional nonlinear equation into the higher dimension space to realize its linear solvable solution.Secondly,in order to further verify the correctness and accuracy of the transmission reconstruction theory,we design an on-line monitoring platform based on angle data acquisition node,receiving node and back-end data processing center,and complete the work of the platform design,hardware production and software debugging.Based on the angle information and arc-length,the simulation results shows that the error rate of reconstruction for two-dimensional and three-dimensional curves is less than 0.5% and 0.99%.Finally,the experimental results shows that,in four realistic galloping situations,which is simulation of static,vertical galloping,horizontal swing pendulum and S-type twist,the error rate of the curve can respectively be as low as 1.48%,2.46%,2.44% and 1.26%.The method can convert the relatively accurate spatial posture relative information into the spatial absolute position information of the curve,and can show the whole line condition intuitively.In addition,it further verifies the correctness and reliability of the reconstruction scheme of the transmission line based on the quaternion rotation,so it provides a reliable solution for the all-weather intelligent monitoring of transmission line. |
