This paper addresses the similarities and differences between the galloping behaviors of ice-coated conductor transmission lines under steady, unsteady and stochastic wind fields. A finite element model of crescent-shaped ice-coated conductor is first established by using the 3-node isoparametric cable element. The analysis model and numerical integration scheme used in this study are then verified by comparison with the existing experimental data and numerical simulations. In order to efficiently simulate two-dimensional unsteady and stochastic wind fields acting on the ice-coated conductor, the newly-developed spectral representation method based on wavenumber-frequency joint power spectrum is adopted. The probability density evolution method (PDEM) is introduced to explore the statistical characteristics of conductor galloping under stochastic wind field. It is revealed that the unsteady wind field stimulates the self-excited vibration of the ice-coated conductor and further leads to an unstable galloping. However, under the stochastic wind field, the galloping variance of ice-coated conductor is steady and periodic, and the galloping probability density propagates alternately as uni- and bi-modals. These properties are quite different from those exhibited in simplified nonlinear models excited by Gaussian white noises in existing literature. Moreover, the galloping amplitude under stochastic wind field is greatly larger than that under steady wind field. Therefore, an extensive attention should be paid to the safety design of conductor transmission lines in cold regions considering the influence of stochastic wind field.

本文探讨了覆冰导体输电线路在稳态、非稳态和随机风场下的奔腾行为的异同。首次利用三节点等参索单元建立了月牙形覆冰导体的有限元模型。然后通过与现有实验数据和数值模拟的比较来验证本研究中使用的分析模型和数值积分方案。为有效模拟二维非定常随机风场作用于覆冰导体，采用新发展的基于波数-频率联合功率谱的谱表示方法。引入概率密度演化法（PDEM）探索随机风场下导体舞动的统计特性。结果表明，非定常风场激发了覆冰导体的自激振动，进一步导致了不稳定的驰骋。而在随机风场下，覆冰导体的舞动方差是稳定的、周期性的，舞动概率密度以单模态和双模态交替传播。这些特性与现有文献中由高斯白噪声激发的简化非线性模型中表现出的特性完全不同。此外，随机风场下的舞动幅度远大于稳定风场下的舞动幅度。所以，