Finite element modeling of transmission line galloping based on 6-DOFs nodes

The coupling between translational and torsional movements and the non-linearity cannot be considered in traditional galloping transmission line analytical model with 3-DOFs nodes. Based on the strain-displacement relations of spatial curved beam theory, the finite element model of iced transmission line galloping was proposed, with the nodes containing three translational degrees of freedom and three rotational degrees of freedom. According to the virtual work principle, the updated Lagrange nonlinear equations of motion of iced conductor were derived considering the aerodynamic and geometric non-lineaities. The Newmark time integration and the Newton-Raphson iteration method were used to solve non-linear finite element equations. An example analysis show that the iced cable element with 6-DOFs nodes used in static, dynamic and galloping analysis of power lines is feasible. The results of transmission line galloping analysis show that the cross-section bending modulus of the transmission line has a certain impact on translational and torsional movements.