Analysis of the Influence of Discrete Method on the Principal Resonance of Iced Transmission Line
In order to compare and evaluate two different discrete methods for the main resonance response of iced transmission line,and to conduct the influential analysis of the iced transmission lines whose natural frequency is close to the excitation frequency,this article mainly adopts the displacement response curve and the amplitude frequency response curve to analyze the conductor galloping characteristics and its main resonance response.Based on the Hamiltonian principle,the partial differential equation for the control of transmission line galloping is derived,and the harmonic loads are applied in the in-plane direction to define the main resonance.Based on the third order mode,the Galerkin method is directly used to convert the partial differential equation into an ordinary differential equation,and the dynamic tension is evenly distributed within the length range and discretized before being converted into an ordinary differential equation using Galerkin discretization.Using the multi-scale method to solve the amplitude frequency response,the influence of tuning parameters and excitation amplitude on the main resonance response of iced transmission line under the second discrete method is studied,and the influence of aerodynamic loads on the amplitude frequency response curve is also ascertained.The results show that different discretization methods can affect the galloping characteristics and main resonance response of the wire,and the tuning parameters and excitation amplitude can also affect the main resonance of the wire.The galloping amplitude and phase of the second discretization method are significantly greater than those of the first discretization method.
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