Modelowanie współpracy odbieraka prądu z siecią trakcyjną

Judek, Sławomir; Karwowski, Krzysztof; Mizan, Mirosław; Wilk, Andrzej

doi:10.15199/48.2015.11.58

Cited by 6 publications

(3 citation statements)

References 9 publications

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“…For example, in [5], the authors treated the carrier system of traction network as a dynamic system with one dynamic degree of freedom with variable parameters approximated by harmonic functions of time. A similar approach is applied by authors of papers [7] and [6] operating the reduced mass and rigidity of OCL, as variable parameters in the area of the span. More precise model of the OCL , but far from the actual conditions, was used in [11], where the contact wire was modelled by finite element method using a beam elements, so with the regard of bending, whose influence is negligible in the case of a flaccid cable.…”

Section: Introductionmentioning

confidence: 99%

Discrete-continuous computational model of the coupled dynamic system: pantograph – overhead contact line

Bryja

Prokopowicz

2016

TO - PK

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The paper presents the computational model of the pantograph – overhead contact line (OCL), which uses the theory of cable vibrations and Lagrange – Ritz approximation method to derive equations of motion of the overhead contact line subjected to moving pantographs. The pantograph is modelled as a dynamic system of two degrees of freedom describing the motion of two masses replacing a collector head and an articulating frame. The overhead contact line is defined as a catenary system with continuously distributed mass. It consists of a multi-span cable characterized by a curvilinear route (catenary wire) and a straight cable (contact wire) connected with a catenary wire by elastic droppers. The main objective of the paper is to present principal ideas of the computational model, with a particular emphasis on formulating the equation of motion of a pre-tensioned multi-span cable with non-negligible static sag. Much attention is paid to the description of dynamic interaction between the pantograph and overhead contact line. The model allows computer simulation of catenary vibrations induced by two pantographs passing over the contact line, as well as a simulation of dynamic increments of the contact force.

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Section: Introductionmentioning

confidence: 99%

Discrete-continuous computational model of the coupled dynamic system: pantograph – overhead contact line

Bryja

Prokopowicz

2016

TO - PK

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“…In the case of electric locomotives supplied from the traction network, the cooperation of so-called collector (Figure 3) with traction network (with overhead contact line). One of such models (without dry friction) is a model composed of two connected masses: the equivalent mass m1 of the overhead contact line and equivalent mass m2 of the receiver, damping of the receiver, stiffness k of the catenary subjected to forces: mechanical force F 1 lifting and aerodynamic force F 2 [8 ]. Due to the fact that we are dealing here with the R, L, C type oscillating system, on the basis of analogy (1) describing vibrations of the mass system of the collector -the traction network.…”

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confidence: 99%

“…For modeling the behavior (propagation) of contact wire oscillations [8] by analogy, similarly as before, the dynamic system (4) is used, in which = = Q R S , where : T it is the netting force (about 10 kN), while ϱ is the linear density of the network depending on the material of the contact wire. They are vibrations E(?, B) in a contact wire in a onedimensional model, propagating at speed = = U Q R S (Fig.…”

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confidence: 99%

Analog modelling in qualitative analysis of vibration propagation

Mieloszyk

Grulkowski

2017

TO - PK

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The theory of dynamic systems is usually used to model the real systems. The models are based on solving ordinary differential equations, partial or difference, which enable obtaining the relation between input signal and the system response (output signal). The analogy between those models and generalized dynamic systems or control systems can be practically used. Vibration propagation can be described in a similar way as the phenomena of vibrations of the electrical, mechanical, or hydraulic systems, diffusion, heat propagation, wave propagation or advection. The physical problem will be solved based on generalized dynamic systems, which enables drawing corresponding conclusions. This concept will be applied to qualitative analysis of vibration propagation in the foundations of transportation constructions”.

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