Nonlinear Dynamic Analysis of High-Voltage Overhead Transmission Lines

Table 3

Theoretical linear natural vibration frequencies of the transmission line model.

	Calculation equation	First order	Second order	Third order	Fourth order	Fifth order	Sixth order	Seventh order	Eighth order
Out-of-plane vibration frequency (Hz)		0.136	0.273	0.409	0.546	0.682	0.818	0.955	1.091
In-plane symmetric vibration frequency (Hz)		0.344	0.46	–	–	–	–	–	–
In-plane antisymmetric vibration frequency (Hz)		0.273	0.546	0.818	1.091	1.364	1.637	1.91	2.182