分裂导线振动模态的传递矩阵方法
发布时间：2018-10-29 22:47
【摘要】：分裂导线振动模态的准确计算对于微风振动、舞动的分析和抑制具有重要意义。采用传递矩阵法,用场传递矩阵表示次档距内的振动特性,用点传递矩阵表示安装间隔棒处的衔接特性。以此建立起从起点到终点的整个档距的振动特性表达式,结合边界条件,该系统是可以求解的。以双分裂导线和四分裂导线为研究对象进行场传递矩阵和点传递矩阵的推导求解,依据弦振动理论推导建立场传递矩阵,依据间隔棒对导线的约束关系推导建立点传递矩阵。借助MATLAB软件对矩阵表达式进行求解得到各阶次频率值,将频率信息带入推导的公式体系绘制相应的振型图,从而完成传递矩阵法对分裂导线振动模态的求解。模态分析结果显示:分裂导线振动基频一般在0.1Hz-0.2Hz,在第五阶左右开始出现分裂振动振型,并且存在频率密集区域。对于双分裂导线,存在四类典型振动,总结归纳为面内振动、面外振动、分裂振动和扭转振动四类。对于四分裂导线,存在六类典型振动,包括面内振动、面外振动以及四类分裂振动。面内振动和面外振动属于整档振动,表现出与单股导线相似的振动特性;分裂振动是分裂导线特有的振动形式,其子导线间存在相对运动,在安装间隔棒处导线发生畸变,易发生疲劳破坏。同时,间隔棒在一定程度上限制子导线的相对运动,对导线振动有一定的抑制作用。利用ANSYS软件对分裂导线振动模态进行分析。主要步骤为有限元建模、找形分析和模态求解。将ANSYS分析结果与传递矩阵法计算结果进行对比。各阶次频率相对误差在10%左右,同时振型相吻合。验证了传递矩阵法计算分裂导线振动模态的方法是可靠的,采用传递矩阵法能够快速、有效的对分裂导线进行模态分析。
[Abstract]:Accurate calculation of vibration modes of split conductors is of great significance for the analysis and suppression of wind vibration and galloping. Using the transfer matrix method, the field transfer matrix is used to represent the vibration characteristics in the secondary spacing, and the point transfer matrix is used to express the connection characteristic of the installation spacer. The expression of the vibration characteristics of the whole distance from the starting point to the end is established. Combined with the boundary conditions, the system can be solved. The field transfer matrix and point transfer matrix are derived and solved by using double and four splitting conductors as research objects. The field transfer matrix is established according to the theory of string vibration and the point transfer matrix is derived according to the constraint relation between spacer rods and conductors. The frequency values of each order are obtained by solving the matrix expression with MATLAB software, and the frequency information is brought into the derived formula system to draw the corresponding mode diagram, thus the transfer matrix method is used to solve the vibration mode of the split conductor. The results of modal analysis show that the fundamental frequency of the vibration of the split conductor is generally 0.1Hz-0.2Hz. it begins to appear in the fifth order, and there is a frequency-dense region. For double split conductors, there are four kinds of typical vibration, which can be summarized as in-plane vibration, out-of-plane vibration, split vibration and torsional vibration. There are six kinds of typical vibration for quad conductors, including in-plane vibration, out-of-plane vibration and four kinds of splitting vibration. The in-plane vibration and the out-of-plane vibration belong to the whole vibration, showing the vibration characteristics similar to those of the single wire. The splitting vibration is a special vibration form of the split conductor. The relative motion between the sub-conductors, the distortion of the conductor at the installation spacer, and the fatigue failure are easy to occur. At the same time, the spacer bar restricts the relative motion of the sub-conductor to a certain extent, and it can restrain the vibration of the conductor to a certain extent. The vibration mode of split conductor is analyzed by ANSYS software. The main steps are finite element modeling, shape finding and modal analysis. The results of ANSYS analysis and transfer matrix method are compared. The relative error of each order frequency is about 10%. It is proved that the transfer matrix method is reliable in calculating the vibration modes of split conductors, and the transfer matrix method can be used to analyze the vibration modes of split conductors quickly and effectively.
【学位授予单位】：华北电力大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM752
[Abstract]:Accurate calculation of vibration modes of split conductors is of great significance for the analysis and suppression of wind vibration and galloping. Using the transfer matrix method, the field transfer matrix is used to represent the vibration characteristics in the secondary spacing, and the point transfer matrix is used to express the connection characteristic of the installation spacer. The expression of the vibration characteristics of the whole distance from the starting point to the end is established. Combined with the boundary conditions, the system can be solved. The field transfer matrix and point transfer matrix are derived and solved by using double and four splitting conductors as research objects. The field transfer matrix is established according to the theory of string vibration and the point transfer matrix is derived according to the constraint relation between spacer rods and conductors. The frequency values of each order are obtained by solving the matrix expression with MATLAB software, and the frequency information is brought into the derived formula system to draw the corresponding mode diagram, thus the transfer matrix method is used to solve the vibration mode of the split conductor. The results of modal analysis show that the fundamental frequency of the vibration of the split conductor is generally 0.1Hz-0.2Hz. it begins to appear in the fifth order, and there is a frequency-dense region. For double split conductors, there are four kinds of typical vibration, which can be summarized as in-plane vibration, out-of-plane vibration, split vibration and torsional vibration. There are six kinds of typical vibration for quad conductors, including in-plane vibration, out-of-plane vibration and four kinds of splitting vibration. The in-plane vibration and the out-of-plane vibration belong to the whole vibration, showing the vibration characteristics similar to those of the single wire. The splitting vibration is a special vibration form of the split conductor. The relative motion between the sub-conductors, the distortion of the conductor at the installation spacer, and the fatigue failure are easy to occur. At the same time, the spacer bar restricts the relative motion of the sub-conductor to a certain extent, and it can restrain the vibration of the conductor to a certain extent. The vibration mode of split conductor is analyzed by ANSYS software. The main steps are finite element modeling, shape finding and modal analysis. The results of ANSYS analysis and transfer matrix method are compared. The relative error of each order frequency is about 10%. It is proved that the transfer matrix method is reliable in calculating the vibration modes of split conductors, and the transfer matrix method can be used to analyze the vibration modes of split conductors quickly and effectively.
【学位授予单位】：华北电力大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM752
【参考文献】
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