Results 51 to 60 of about 370 (174)

Modeling and Control of Rail Potential With Partial Backflow Obstruction in DC Metro Systems

IET Electrical Systems in Transportation, Volume 2026, Issue 1, 2026.
Running rails are employed as the reflux conductor in DC metro systems, whose longitudinal resistance and joint resistance usually increase with the operating years of the system. Subsequently, the partial backflow obstruction occurs, which will greatly increase rail potential (RP) and endanger the security of the metro line operation. In this paper, a
Qiaoyue Li, Xin Zheng, Tongtong Zhou, Guifu Du, Fengchuan Xu, Yajie Zou   +5 more
wiley   +1 more source

Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

Journal of Taibah University for Science, 2019
In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
doaj   +1 more source

Exact and Approximate Solutions for Some Classes of the Inhomogeneous Pantograph Equation

Axioms, 2023
The standard pantograph delay equation (SPDDE) is one of the famous delay models. This standard model is basically homogeneous in nature and it has been extensively studied in the literature. However, the studies on the general inhomogeneous form of such
A. A. Al Qarni
doaj   +1 more source

Heavy‐Haul Railway Alignment Design Considering the Heavy‐to‐Light Ratio and Regenerative Braking Energy

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
This study proposes an NSGA‐II framework enhanced with struct‐based encoding for bi‐objective optimization of heavy‐haul railway vertical alignment (construction cost and energy consumption), which requires no preset vertical points of intersection (VPIs) and inherently meets most constraints.
Shengda Zhuo, Shuangting Xu, Yan Gao, Tianlong Zhang, Qing He   +4 more
wiley   +1 more source

Dual‐Frequency Piezoelectric Vibration Energy Harvester for IoT‐Based Real‐Time Freight Train Health Monitoring in Mongolia

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
This study evaluates the potential of piezoelectric vibration energy harvesting to power IoT nodes for real‐time health monitoring of the Mongolian railway. Triaxial vibration data were collected at 500 Hz over a 400 km freight route under loaded and unloaded conditions using a custom ESP32‐S3 + MPU9250 system, and dominant frequencies were extracted ...
Bumduuren Pumbuurei, Batdalai Sukh, Nyamsuren Purevsuren, Buyankhishig Zundui, Myeirambyek Tashkyen, Heemin Park   +5 more
wiley   +1 more source

Numerical study on aerodynamic drag and noise of high-speed pantograph by introducing spanwise waviness

Engineering Applications of Computational Fluid Mechanics, 2023
It is noteworthy to explore potential measures for further reducing the aerodynamic drag and noise of high-speed pantographs. This paper proposes a method of introducing spanwise waviness into the upper and lower arms.
Deng Qin, Tian Li, Jiye Zhang, Ning Zhou
doaj   +1 more source

On the advanced balanced pantograph equation

Communications on Pure and Applied Analysis
The paper is concerned with the advanced balanced pantograph equation \[ y'(x)+y(x)=\displaystyle\sum_{k=1}^m p_k y(a_kx),\tag{1} \] where \(p_k>0\) for \(k=1,\ldots,m\), \(\sum_{k=1}^m p_k=1\), and ...
van Brunt, Bruce, Derfel, Gregory, Zaidi, Ali Ashher   +2 more
openaire   +2 more sources

Hierarchical Reinforcement Learning for Long‐Distance Multi‐Objective Optimization of Heavy‐Haul Trains via Sequential Task Assignment Across Spatial Segments

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
This paper proposes a sequential multi‐task collaboration hierarchical reinforcement learning framework for dynamic multi‐objective optimization of long‐distance heavy‐haul train operations. By decomposing the route into segment‐specific subtasks and coordinating sequential policy invocation through a top‐level dynamic programming framework, the ...
Jianhua Wang, Cong Wang, Qingyuan Wang, Yiding Yu, Xiaoyun Feng   +4 more
wiley   +1 more source

Applications of Standard Methods for Solving the Electric Train Mathematical Model With Proportional Delay

International Journal of Analysis and Applications, 2022
In electric trains, the current is collected via a certain device, called the Pantograph. The governing mathematical model of such physical problem is well-known as the Pantograph delay differential equation (PDDE): y’(t)=ay(t)+by(ct), where c is a ...
S. M. Khaled
doaj   +1 more source

Large deviations for stochastic pantograph integrodifferential equation

Filomat, 2023
The pantograph equation, a specific type of delay differential equation is examined in this study in its stochastic form. Our main intention is to establish the Wentzell-Freidlin type large deviation estimates for stochastic pantograph integrodifferential equation.
Siva Ranjani, M. Suvinthra, K. Balachandran   +2 more
openaire   +1 more source