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PS Method (ps + method)

Distribution by Scientific Domains

Engineering	75%

Selected Abstracts

Novel technique to improve the fault detection sensitivity in transformer maintenance test

EUROPEAN TRANSACTIONS ON ELECTRICAL POWER, Issue 4 2010
E. A. Al-Ammar
Abstract Early detection of incipient faults in transformer windings is important, so that required corrective measures can be taken to help prevent interruption during operation. Low voltage impulse (LVI) and sweep frequency response analysis (SFRA) tests have been widely adopted within the industry to determine a transformer winding's deformation. However, these tests have drawbacks, including limited frequency ranges for the LVI test and time-consuming measurements for the SFRA test. To obtain better signature analysis in the transformer maintenance test, especially detection of minor faults, this paper suggests a new input signal using a pulse sequence (PS) in the transfer function (TF) analysis. The results of the PS test are compared against the LVI and SFRA tests to complete the assessments, which are derived from experimental works on the 25,kVA distribution transformer. It is concluded that the PS method improves fault detection sensitivity significantly. Copyright © 2009 John Wiley & Sons, Ltd. [source]

Numerical modelling method for wave propagation in a linear viscoelastic medium with singular memory

GEOPHYSICAL JOURNAL INTERNATIONAL, Issue 2 2004
Jian-Fei Lu
SUMMARY A numerical modelling method for wave propagation in a linear viscoelastic medium with singular memory is developed in this paper. For a demonstration of the method, the Cole,Cole model of viscoelastic relaxation is adopted here. A formulation of the Cole,Cole model based on internal variables satisfying fractional relaxation equations is applied. In order to avoid integrating and storing of the entire history of the variables, a new method for solving fractional differential equations of arbitrary order based on a set of secondary internal variables is developed. Using the new method, the velocity,stress equations and the fractional relaxation equations are reduced to a system of first-order ordinary differential equations for the velocities, stresses, primary internal variables as well as the secondary internal variables. The horizontal spatial derivatives involved in the governing equations are calculated by the Fourier pseudo-spectral (PS) method, while the vertical ones are calculated by the Chebychev PS method. The physical boundary conditions and the non-reflecting conditions for the Chebychev PS method are also discussed. The global solution of the first-order system of ordinary differential equations is advanced in time by the Euler predictor,corrector methods. For the demonstration of our method, some numerical results are presented. [source]

A pseudospectral Fourier method for a 1D incompressible two-fluid model

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 6 2008
H. Holmås
Abstract This paper presents an accurate and efficient pseudospectral (PS) Fourier method for a standard 1D incompressible two-fluid model. To the knowledge of the authors, it is the first PS method developed for the purpose of modelling waves in multiphase pipe flow. Contrary to conventional numerical methods, the PS method combines high accuracy and low computational costs with flexibility in terms of handling higher order derivatives and different types of partial differential equations. In an effort to improve the description of the stratified wavy flow regime, it can thus serve as a valuable tool for testing out new two-fluid model formulations. The main part of the algorithm is based on mathematical reformulations of the governing equations combined with extensive use of fast Fourier transforms. All the linear operations, including differentiations, are performed in Fourier space, whereas the nonlinear computations are performed in physical space. Furthermore, by exploiting the concept of an integrating factor, all linear parts of the problem are integrated analytically. The remaining nonlinear parts are advanced in time using a Runge,Kutta solver with an adaptive time step control. As demonstrated in the results section, these steps in sum yield a very accurate, fast and stable numerical method. A grid refinement analysis is used to compare the spatial convergence with the convergence rates of finite difference (FD) methods of up to order six. It is clear that the exponential convergence of the PS method is by far superior to the algebraic convergence of the FD schemes. Combined with the fact that the scheme is unconditionally linearly stable, the resulting increase in accuracy opens for several orders of magnitude savings in computational time. Finally, simulations of small amplitude, long wavelength sinusoidal waves are presented to illustrate the remarkable ability of the PS method to reproduce the linear stability properties of the two-fluid model. Copyright © 2008 John Wiley & Sons, Ltd. [source]