Statics of elastic cables under 3D point forces

Impollonia, N.; Ricciardi, Giuseppe; Saitta, Fernando

doi:10.1016/j.ijsolstr.2011.01.007

Cited by 42 publications

(15 citation statements)

References 7 publications

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“…In the literature, the three-dimensional modelling of cables systems, without mutual mechanical influences, has been widely explored, in particular considering its high non-linear behavior: in [18][19][20] the problem formulation is presented, while a dynamic analysis is reported in [21].…”

Section: Base Theorymentioning

confidence: 99%

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

et al. 2017

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Abstract:In the last decades, strengthening the high voltage transmission system through the installation of new overhead power lines has become critical, especially in highly developed areas. Present laws concerning the human exposure to electric and magnetic fields introduce constraints to be considered in both new line construction and existing systems. In the paper, a technique for passive magnetic field mitigation in areas close to overhead power lines is introduced, fully modelled and discussed through a parametric analysis. The investigated solution, which basically consists in approaching line conductors along the span making use of rod insulators, is applicable on both existing and under-design overhead lines as an alternative to other mitigating actions. Making use of a 3-dimensional representation, the procedure computes both positions of phase conductors and forces acting on insulators, towers, conductors and compactors, with the aim of evaluating the additional mechanical stress introduced by the compactors. Finally, a real case study is reported to demonstrate and quantify the benefits in terms of ground magnetic field reduction achievable by applying the proposed solution, in comparison to a traditional configuration. Furthermore, using compactors to passively reduce the magnetic field is simple to be applied, minimally invasive and quite inexpensive as regards to alternative mitigating actions.

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Section: Base Theorymentioning

confidence: 99%

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

et al. 2017

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“…Therefore, hurricane induced conductor line tension is a critical parameter that affects the system-level fragility and reliability. In order to achieve a simplified line model with minimized computational cost but with acceptable prediction accuracy, we use a latest analytical approach to modeling a single-span transmission line substructure subject to uniformly distributed wind loading in a 3D coordinate (Impollonia et al 2011). Figure 2 illustrates the schematic of this nonlinear cable model.…”

Section: D Nonlinear Cable Modelmentioning

confidence: 99%

“…Figure 2, an analytical integral can be established that defines an arbitrary position x(l) for the strained cable in terms of the unstrained cable length l. Other parameters include the unknown reaction force at the x 1 (node 1 in Figure 2), denoted by r, the applied uniform loading vector p = p π, and the conductor temperature jump with a reference to a standard temperature ΔT. Herein, we denote this vector integral by f(r, p, l, ΔT), and the complete expression of this function is found in Impollonia et al (2011). Considering the support conditions, an equation system can be written:…”

Section: D Nonlinear Cable Modelmentioning

confidence: 99%

Failure Risk of 230 kV Electricity Transmission Lines in South Carolina under Hurricane Wind Hazards

Pang

Chen

Liu

et al. 2012

Advances in Hurricane Engineering

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High wind events such as hurricanes are one of the leading causes of electricity transmission line failures. There are two main failure mechanisms associated with de-energized transmission systems during hurricanes: 1) failure of the super-structures or the support towers; and 2) breakage of the transmission lines due to extreme wind loads. This paper presents a methodology for analyzing the reliability of spatially distributed transmission lines under hurricane wind hazard. As a case study, the vulnerability of the spatially distributed 230kv transmission lines in south Carolina was analyzed using 40,000 years of simulated hurricane events. Since the response of transmission lines under wind loads is highly nonlinear, a simplified nonlinear analytical model, verified by a 3-dimentional finite element model, was developed to simulate the tension forces considering the geometric nonlinearity induced by the sagging of the transmission lines. The reliability analysis results are presented in a GIS map, which can be easily used in pre-hurricane planning by power companies.

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“…The classic catenary approach which finds initial static shape of the cable under self weight [1] is extended to allow point loads, generally oriented in space [2]. The equilibrium equation becomes: …”

Section: Equilibrium Under Self Weight and Mean Windmentioning

confidence: 99%

“…Traditionally, cable dynamics is intended as the time dependent response around the initial static configuration given by the equilibrium under self weight and described by the catenary equation, including or not cable extensibility or, for shallow cables, by the parabolic approximation [1] [2].…”

Section: Introductionmentioning

confidence: 99%

Vibrations of inclined cables under skew wind

Impollonia

Ricciardi

Saitta

2011

International Journal of Non-Linear Mechanics

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A non-linear finite element model of inclined cables, i.e. cables with non-leveled supports, in the large displacement and deformation fields is proposed for computing the dynamic response to wind loads which blow in arbitrary direction. The initial equilibrium, assumed as the static configuration under self weight and mean wind component, is defined by a continuous approach, following an iterative procedure which starts from the configuration under self weight only. The proposed formulation, which accounts for longitudinal inertia forces, allows to spot the circumstances when the simplified small-sag approach, adopting longitudinal mode condensation, becomes too crude. Numerical simulations have been performed empoying the Proper Orthogonal Decomposition to lower the computational effort.

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Statics of elastic cables under 3D point forces

Cited by 42 publications

References 7 publications

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

Failure Risk of 230 kV Electricity Transmission Lines in South Carolina under Hurricane Wind Hazards

Vibrations of inclined cables under skew wind

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