A Comparative Study on Piecewise Sparse Identification of Iced Bundle Conductor Galloping in Random Wind Field
The galloping of iced transmission lines seriously threatens the safety and stability of the operation of the power system.However,due to the randomness of the ice shape and the wind,there is currently no practical way to establish a mathematical model of actual iced conductor galloping.Based on the data-driven sparse recognition algorithm,this paper proposes an identification method for the galloping model of iced quad bundle conductor under random wind loading.Firstly,the dynamic partial differential equation of the iced quad bundle conductor is derived based on Hamilton's principle,and then the Galerkin method is used to obtain the dynamic differential equation of the iced quad bundle conductor.The random wind aerodynamic model generated by the Davenport spectrum and processed by the linear interpolation of the sub-segments is introduced,and then the galloping equation model of iced quad bundle conductor with time-varying wind speed is obtained.Finally,combined with different data processing methods,the sub-segment linear interpolation integral recognition method and the sub-segment linear interpolation differential recognition method are proposed,and applied to the iced quad bundle conductor galloping mean model recognition.Through 100 sets of computer experiments with an average wind speed of 10～30m/s,the recognition accuracy,recognition efficiency and recognition stability of the two methods were explored and compared.The results show that with the change of average wind speed,except for the displacement cubic term,the two methods have good recognition accuracy for the iced quad bundle conductor galloping mean model.From the viewpoints of relative error of response,recognition accuracy and stability,and recognition efficiency,the differential recognition method is better than the integral recognition method,especially for the primary term and the third term coefficients of velocity.The results in this paper can provide reference for the establishment of transmission line galloping model.
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