Theoretical Solution of the Maximum Jump Height for Multi-Span Transmission Lines After Ice Shedding

Maximum jump height evaluation is crucial for transmission line deicing and typically involves time-consuming processes such as dynamic numerical simulations and model experiments. Previous studies have explored the feasibility of theoretical solutions to improve computational efficiency and proposed various simplifying assumptions during derivation to address the strong geometric nonlinearity of cable structures. However, these assumptions neglect certain measurable influencing factors, such as temperature fluctuations, tension variations between adjacent conductors, and combinations of unequal span lengths and elevation differences, hindering the applicability of existing methods. To overcome this challenge, this paper proposes a novel theoretical method to calculate the maximum jump height for multi-span transmission lines after ice shedding. The three conventionally overlooked factors are considered in derivation. The dynamic response of transmission lines is divided into two stages, i.e., the kinetic energy increases first and subsequently decreases. Then, the proposed method is validated through numerical simulations, considering span lengths, ice thicknesses, temperatures, conductor types, elevation differences, and span combinations. In addition, an ice-shedding experiment is conducted for further validation, followed by a comparison with other multiple experiments. The results demonstrate the efficiency of our method, indicating a noticeable reduction in modeling and computational costs, proving its extensive potential in engineering.