Results 41 to 50 of about 369 (174)

A New Active Control Strategy for Pantograph in High-Speed Electrified Railways Based on Multi-Objective Robust Control

IEEE Access, 2019
In high-speed railways, the quality of current collection of high-speed train is directly determined by the contact force between the contact wire of the catenary and the registration strip of the pantograph.
Jing Zhang, Hantao Zhang, Baolin Song, Songlin Xie, Zhigang Liu   +4 more
doaj   +1 more source

The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System

Shock and Vibration, 2014
In high-speed electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The effect of fast harmonic and parametric excitation on a stochastically driven pantograph-catenary system ...
R. H. Huan, W. Q. Zhu, F. Ma, Z. H. Liu
doaj   +1 more source

The stability of modified Runge-Kutta methods for the pantograph equation [PDF]

Mathematics of Computation, 2006
In the present paper, the modified Runge-Kutta method is constructed, and it is proved that the modified Runge-Kutta method preserves the order of accuracy of the original one. The necessary and sufficient conditions under which the modified Runge-Kutta methods with the variable mesh are asymptotically stable are given. As a result,
M. Z. Liu, Z. W. Yang, Y. Xu
openaire   +2 more sources

New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations

Journal of Function Spaces, 2022
The main goal of this paper is to develop a new formula of the fractional derivatives of the shifted Chebyshev polynomials of the third kind. This new formula expresses approximately the fractional derivatives of these polynomials in the Caputo sense in ...
Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed   +2 more
doaj   +1 more source

Review of Catenary Icing on High‐Speed Railways: Characteristics, Impact and Countermeasures

High Voltage, EarlyView.
ABSTRACT The pantograph–catenary system (PCS) is the only path for electrified railway trains to acquire energy. Catenary icing during winter is a common natural phenomenon, which usually leads to the deterioration of the current quality and severely affects the operational safety of trains.
Zheng Li, Guizao Huang, Zhijin Zhang, Yang Liu, Guoqiang Gao, Guolin Yang, Xi Yang, Guangning Wu   +7 more
wiley   +1 more source

Pantograph–Catenary Interaction Prediction Model Based on SCSA-RBF Network

Applied Sciences
As a traditional numerical simulation method for pantograph–catenary interaction research, the pantograph–catenary finite element model cannot be applied to the real-time monitoring of pantograph–catenary contact force, and the computational cost ...
Mengzhen Wu, Xianghong Xu, Haochen Zhang, Rui Zhou, Jianshan Wang   +4 more
doaj   +1 more source

Numerical Approach for Solving the Fractional Pantograph Delay Differential Equations

Complexity, 2022
A new class of polynomials investigates the numerical solution of the fractional pantograph delay ordinary differential equations. These polynomials are equipped with an auxiliary unknown parameter a, which is obtained using the collocation and least ...
Jalal Hajishafieiha, Saeid Abbasbandy
doaj   +1 more source

On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space

Fractal and Fractional, 2023
This work investigates a weighted Banach space second order pantograph fractional differential equation. The considered equation is of second order, expressed in terms of the Caputo–Hadamard fractional operator, and constructed in a general manner to ...
Ridha Dida, Hamid Boulares, Abdelkader Moumen, Jehad Alzabut, Mohamed Bouye, Yamina Laskri   +5 more
doaj   +1 more source

The Generating Mechanism and Suppression Measure of the ‘Wheel‐Rail’ Rolling Arc for Electrified Trains

High Voltage, Volume 11, Issue 2, Page 370-384, April 2026.
ABSTRACT As the ‘main blood vessel’ of the traction power supply system for high‐speed trains, the ‘wheel‐rail’ coupling grounding reflux system provides the vital channel to send traction current back to terrestrial substations; meanwhile, the rail track also plays a role in transmitting the train's occupancy signal to the control system. An insulated
Jiefu Hou, Song Xiao, Mengqiao Wang, Pupu Li, Guangning Wu, Ye Cao, Guoqiang Gao, Yujun Guo, Xueqin Zhang, Yongdong He   +9 more
wiley   +1 more source

Insight on the Nonhomogeneous Pantograph Equation with an Arbitrary Polynomial of Degree n: Explicit Solution

Mathematics
This paper solves a nonhomogeneous version of the pantograph equation. The nonhomogeneous term is taken as a polynomial of degree n with arbitrary coefficients.
Mona D. Aljoufi
doaj   +1 more source