Research on the Galloping and Anti-Galloping of the Transmission Line

Qin, Zhaohong; Chen, Yushu; Zhan, Xianxu; Liu, Bin; Zhu, Kun Yan

doi:10.1142/s0218127412500381

Cited by 19 publications

(10 citation statements)

References 3 publications

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“…So the torsional motion is also an essential factor to analyze the conductor galloping. Then, the torsional motion is considered as in Figure 2 [21]. Assuming that 1 is the eccentricity in direction and 2 is the eccentricity in direction, then the displacements of the center of mass are…”

Section: Torsional Motionmentioning

confidence: 99%

“…Recently, Luongo et al [18][19][20] have formulated consistent linear and nonlinear models of cable-beam accounting for both torsion and bending. In order to apply in the actual engineering easily, Qin et al [21] constructed one-DOF, two-DOF, and three-DOF models from the continuum models of transmission lines by using the Hamilton principle. But the comparison of the three models is not studied, which is very important in the application of these models.…”

Section: Introductionmentioning

confidence: 99%

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A Contrast on Conductor Galloping Amplitude Calculated by Three Mathematical Models with Different DOFs

Liu

Zhu

Sun³

et al. 2014

Shock and Vibration

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It is pivotal to find an effective mathematical model revealing the galloping mechanism. And it is important to compare the difference between the existing mathematical models on the conductor galloping. In this paper, the continuum cable model for transmission lines was proposed using the Hamilton principle. Discrete models of one DOF, two DOFs, and three DOFs were derived from the continuum model by using the Garlekin method. And the three models were compared by analyzing the galloping vertical amplitude and torsional angle with different influence factors. The influence factors include wind velocity, flow density, span length, damping ratio, and initial tension. The three-DOF model is more accurate at calculating the galloping characteristics than the other two models, but the one-DOF and two-DOF models can also present the trend of galloping amplitude change from the point view of qualitative analysis. And the change of the galloping amplitude relative to the main factors was also obtained, which is very essential to the antigalloping design applied in the actual engineering.

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Section: Torsional Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Contrast on Conductor Galloping Amplitude Calculated by Three Mathematical Models with Different DOFs

Liu

Zhu

Sun³

et al. 2014

Shock and Vibration

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“…From carrying on wind tunnel tests [3,4], prototype tests [5,6], and simulation computation [7,8], remarkable achievements have been made. For now, it is generally believed that galloping is a self-excited vibration because of the aerodynamic instability when conductors accrete ice [9]. Galloping has an extremely low frequency, which is usually lower than 1 Hz [10].…”

Section: Introductionmentioning

confidence: 99%

Galloping Reduction of Transmission Lines by Using Phononic Crystal

Han

Zhang

et al. 2017

Crystals

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Considering the combination of the transmission lines and phononic crystals (PCs), we propose a new method to solve the problem of the galloping of overhead transmission lines. The method has two key points: attaching the suitable mass-spring system on each spacer, and periodically arranging the modified spacers along a transmission line. Based on the Bloch's theorem, the PC transmission lines could generate vibration band gaps (BGs), which would reduce galloping. In order to implement our point, we establish the two-dimensional model of the PC transmission lines and derive the transfer matrix method to calculate the frequency dispersion relation of the vertical transverse vibration. Then, the extremely low frequency BG, in the range of galloping frequency, is obtained and verified based on an example of single conductor. To widen the BG range, we also study the effects of the spacer and the attached mass-spring system on the BG. The wide BG, which even covers the range of 0.338-0.909 Hz, could be given just by using the suitable setting of the spacer and mass-spring system.

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“…And Yu et al [8,9] obtained a torsional feedback mechanism using a three-DOFs model coupled with vertical, horizontal, and torsional oscillations. And later, with the development of linear and nonlinear motion instability theories, galloping phenomenon has been studied widely by using nonlinear vibration methods [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…There are numerous examples of fundamental solutions to the conductor galloping problem as a nonlinear motion instability process [10][11][12][13][14]. The main objectives are usually the prediction of the stability of such aeroelastic systems at a range of flow conditions, the amplitudes, and frequencies of the Limit Cycle Oscillation (LCO) that may be encountered.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis Phenomenon in the Galloping of the D-Shape Iced Conductor

Liu

Zhu

et al. 2013

Mathematical Problems in Engineering

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It is well known that there is a hysteresis phenomenon in the amplitude variation in the iced conductor galloping with the wind velocity, which will have more obvious disadvantages to the overhead transmission lines. But hysteresis characteristics in the conductor galloping have not received much attention. In this paper, a continuum model of the conductor galloping with D-shape ice is derived by using Hamilton principle, where the initial deformation, the geometric nonlinearity caused by the large deformation, and the aerodynamic nonlinearity are considered. The aerodynamic forces are described by using the quasi steady hypothesis, where the aerodynamic coefficients are expanded by the polynomial curves with a third order and a ninth order, respectively. The hysteresis phenomenon is analyzed by using the approximate solutions of the Galerkin discretized equation derived from the continuum model by means of the harmonic balance method. The influence of the different factors, dynamic angle of attack, span length, initial tension, and conductor mass, is obtained in different galloping instability intervals. And two important aspects about the point of the hysteresis phenomenon onset and the size of the hysteresis region over the wind velocities are analyzed under different conditions.

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Research on the Galloping and Anti-Galloping of the Transmission Line

Cited by 19 publications

References 3 publications

A Contrast on Conductor Galloping Amplitude Calculated by Three Mathematical Models with Different DOFs

A Contrast on Conductor Galloping Amplitude Calculated by Three Mathematical Models with Different DOFs

Galloping Reduction of Transmission Lines by Using Phononic Crystal

Hysteresis Phenomenon in the Galloping of the D-Shape Iced Conductor

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