In this paper, the authors present a mathematical and engineering model to optimally calculate dynamic equation on pantograph–catenary interaction when considering rigid catenary with an overlapping span. The starts from well-known methods adapted special features of catenary. As result, algorithm for integration based explicit is provided. Moreover, algorithm, reliable, efficient, user-friendl...

This paper presents a conception of 3 kV DC traction power system based on distribution sources, as an alternative to traditional substation. The consists supplying modules (SM) installed along the electrified railway line, distance between adjacent SMs are much shorter, than substations in system. Each SM energy storage (ESS), and could be charged from adjacent, substation via catenary, medium...

Temperature-depth recorders (TDRs) were attached to pelagic longline gear in the Hawaii-based commercial fishery to obtain actual fishing depths and to test the accuracy of catenary algorithms for predicting fishing depths. Swordfish gear was set shallow by typically deploying four hooks between successive floats. The observed depth of the settled deepest hook had a median value of 60 m for 333...

The purpose of this thesis is to present two ways of determining the position of underwater tethers, mathematical tether modeling and sensor system measurement. Though the ideal solution may be a combination of both modeling and measurements, this thesis only covers modeling and measurements individually. The tether model is designed to be placed in a virtual environment (VE) simulator in order...

In this paper an alternative railway power systems design based on an HVDC feeder is studied. The HVDC feeder is connected to the catenary by converters. Such an HVDC line is also appropriate for DC-fed railways and AC-fed railways working at public frequency. A unit commitment optimal power flow model has been developed and is applied on a test system. In this paper, the model is presented in ...

The modeling methodology of tilting train is studied. The vehicle and pantograph are considered as nonlinear multiple rigid body systems, and the catenary is modeled by FEM method. The electrical mechanical actuators for carbody and pantograph tilting control are also considered in the tilting train model. The method of on-line curving detection, filtering and control is adopted for the tilting...

The Euler-Bernoulli beam theory is used to establish the vibration differential equation of rigid catenary, cantilever support device equivalent spring, and pantograph three mass block model. double-pantograph-catenary (DPC) dynamic coupling model established by using penalty function, utilize Newmark-β solved model, verifying reliability with field test contact forces catenary system (RCS) Xi’...

This paper presents a new kind of uniform splines, called hyperbolic polynomial B-splines, generated over the space Ω = span{sinh t, cosh t, tk−3, tk−4, . . . , t,1} in which k is an arbitrary integer larger than or equal to 3. Hyperbolic polynomial B-splines share most of the properties as those of the B-splines in the polynomial space. We give the subdivision formulae for this new kind of cur...

let $r=oplus_{nin bbb n_0}r_n$ be a noetherian homogeneous ring with local base ring $(r_0,frak{m}_0)$, $m$ and $n$ two finitely generated graded $r$-modules. let $t$ be the least integer such that $h^t_{r_+}(m,n)$ is not minimax. we prove that $h^j_{frak{m}_0r}(h^t_{r_+}(m,n))$ is artinian for $j=0,1$. also, we show that if ${rm cd}(r_{+},m,n)=2$ and $tin bbb n_0$, then $h^t_{frak{m}_0r}(h^2_{...