An Efficient Algorithm for Aeolian Vibration of Single Conductor With Multiple Dampers
TL;DR: In this article, a combination of an impedance transfer technique (ITT) and a forced vibration method (FVM) is proposed for analyzing the Aeolian vibration of a span of a single conductor with multiple dampers.
Abstract: A novel algorithm is developed in this paper for analyzing Aeolian vibration of a span of a single conductor with multiple dampers. The algorithm is characterized by a combination of an impedance transfer technique (ITT) and a forced vibration method (FVM). The ITT avoids singularities that may occur due to a conductor's very low bending stiffness with respect to its tension. On the other hand, the FVM can easily handle non-proportional damping (which is typical for the problem in concern) without having to solve a complex eigenvalue problem. In addition, the algorithm can easily accommodate a conductor's terminal flexibility as well as a damper's rotational effect that may exist due to its possible asymmetry. The algorithm is very efficient so that solution is almost instantaneous for most analysis problems. The algorithm has recently been implemented into a commercial Aeolian vibration analysis and design software-EPRI Vibration version 3.0.
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1,166 citations
TL;DR: In this paper , a self-powered sensor network constructed by active vibration sensor (AVS) units with a spring-mass based TENG (S‐TENG) is reported for effective energy harvesting and broadband vibration sensing.
Abstract: Overhead transmission lines are vulnerable to aeolian vibrations that threaten the operation of the power grid. A triboelectric nanogenerator (TENG) based self‐powered system offers a desirable way for vibration online‐monitoring with potential for large‐scale deployment. In this work, a self‐powered sensor network constructed by active vibration sensor (AVS) units with a spring‐mass based TENG (S‐TENG) is reported for effective energy harvesting and broadband vibration sensing. The basic TENG with structural parameters is first discussed from the aspects of efficiency and response characteristics, then the spring constant and mass weight are also adjusted for S‐TENGs with different optimal operation regions, thus the overall vibration amplitude and frequency response are further enhanced by the mutual compensation of S‐TENGs with a weight allocation strategy. Furthermore, the S‐TENGs are combined with external circuits to compose the AVS units, which are deployed in a distributed manner on a simulated transmission line to demonstrate a self‐powered wireless warning system and an aeolian vibration mapping system, enabling abnormal vibration warnings and vibration distribution monitoring over the whole line. This work represents a novel strategy for utilizing TENG technology for transmission line aeolian vibration monitoring and provides valuable guidance for further sensor network construction and power grid visualization.
37 citations
TL;DR: In this article, the vibration of a single-conductor transmission line with a Stockbridge damper was examined by modeling the system as a double-beam concept, and the equations of motion were derived using Hamilton's priors.
Abstract: The vibration of a single-conductor transmission line with a Stockbridge damper is examined by modeling the system as a double-beam concept. The equations of motion are derived using Hamilton’s pri...
26 citations
Cites background from "An Efficient Algorithm for Aeolian ..."
...The most common approach is a combination of a numerical and an experimental method (Claren and Diana, 1969; Dhotard et al., 1978; Nigol and Houston, 1985; Kraus and Hagedorn, 1991; Vecchiarelly et al., 2000; Verma and Hagerdorn, 2004; Chan and Lu, 2007)....
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TL;DR: In this article, the nonlinear dynamics of a stockbridge damper are modeled as two cantilevered beams with tip masses, and the equations of motion and boundary conditions are derived using Hamilton's principle.
Abstract: The present paper deals with the nonlinear dynamics of a Stockbridge damper. The nonlinearity is from damping and the geometric stretching of the messenger. The Stockbridge damper is modeled as two cantilevered beams with tip masses. The equations of motion and boundary conditions are derived using Hamilton’s principle. The model is valid for both symmetric and asymmetric Stockbridge dampers. Explicit expressions are presented for the frequency equation, mode shapes, nonlinear frequency, and modulation equations. Experiments are conducted to validate the proposed model. [DOI: 10.1115/1.4029526]
25 citations
Cites background from "An Efficient Algorithm for Aeolian ..."
...(1) and (2) yields the following equations of motion:...
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20 citations
References
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Book•
01 Jan 1970
TL;DR: The fifth edition of this book as mentioned in this paper continues teaching numerical analysis and techniques, and is suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of numerical analysis.
Abstract: The fifth edition of this book continues teaching numerical analysis and techniques. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of numerical analysis.
1,815 citations
1,166 citations
Book•
01 Jan 1980526 citations
TL;DR: In this paper, the response of stranded cables to exciting forces produced by wind is studied, and details of an analytical and experimental study of cable self-damping are presented, as well as an experimental model for self-deployment.
Abstract: The response of stranded cables to exciting forces produced by wind is studied here, and details of an analytical and experimental study of cable self-damping are presented.
105 citations
"An Efficient Algorithm for Aeolian ..." refers background or methods in this paper
...A conductor’s sag may be neglected due to the relatively high frequency range that is of interest [7]....
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...These approaches include ones based on electrical-mechanical analogy [3], wave propagation [4]–[6], summation of assumed modes [7]–[9], matrix transfer [10], dynamic stiffness [11], integral transformation [12], etc....
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...The conductor is treated as a taut (tensioned) beam so that a conductor’s bending stiffness is taken into account [5], [7]–[11]....
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TL;DR: In this paper, the measuring apparatus used for experimental wind tunnel studies is described together with the test procedure and salient results, and a mechanical model is developed to explain the nature of the phenomenon.
Abstract: The measuring apparatus used for experimental wind tunnel studies is described together with the test procedure and salient results. After an analysis of the results, a mechanical model is developed to explain the nature of the phenomenon.
80 citations
"An Efficient Algorithm for Aeolian ..." refers background in this paper
...For example, the wind power curve of Diana and Falco [19] leads to ....
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