In this paper, a new numerical algorithm for medium-voltage overhead lines, autoreclosure, is described. The subfunction of the autoreclosure scheme that would inhibit the first shot after detecting a solid fault (as ...
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In this paper, a new numerical algorithm for medium-voltage overhead lines, autoreclosure, is described. The subfunction of the autoreclosure scheme that would inhibit the first shot after detecting a solid fault (as compared with an arc fault) is evaluated and presented. It is based on one terminal data processing and it is derived in the time domain. In the algorithm the fault nature (arcing or arcless fault) is estimated using linear least error squares estimation technique. The arc, occurring on the fault point during arcing faults on overhead lines, is included in the problem consideration. In addition, by introducing the prefault load current in the existing model, better algorithm performances and a more reliable adaptive algorithm for autoreclosure are achieved. The algorithm is derived for the case of three-phase symmetrical fault. The results of the algorithm testing through computer simulation are presented. Particularly the algorithm sensitivity to arc elongation effects, supplying network parameters, and processing of the signals in the presence of harmonics are tested and analyzed.
A novel algorithm for the retrieval of the spatial mutual coherence function of the optical field of a light beam in the quasimonochromatic approximation is presented. The algorithm only requires that the intensity di...
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A novel algorithm for the retrieval of the spatial mutual coherence function of the optical field of a light beam in the quasimonochromatic approximation is presented. The algorithm only requires that the intensity distribution is known in a finite number of transverse planes along the beam. The retrieval algorithm is based on the observation that a partially coherent field can be represented as an ensemble of coherent fields. Each field in the ensemble is propagated with coherent methods between neighboring planes, and the ensemble is then subjected to amplitude restrictions, much in the same way as in conventional phase recovery algorithms for coherent fields. The proposed algorithm is evaluated both for one- and two-dimensional fields using numerical simulations. (C) 2007 Optical Society of America.
In this paper, a coupled system of fractional differential equations along with integral boundary conditions is discussed by means of the iterative reproducing kernel algorithm. Towards this end, a recently advanced a...
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In this paper, a coupled system of fractional differential equations along with integral boundary conditions is discussed by means of the iterative reproducing kernel algorithm. Towards this end, a recently advanced analytical approach is proposed to obtain approximate solutions of nonclassical-types boundary value problems of fractional derivatives in Caputo sense. This approach optimizes approximate solutions based on the Gram-Schmidt process on Sobolev spaces that execute to generate Fourier expansion within a fast convergence rate, whereby the constructed kernel function fulfills homogeneous integral boundary conditions. Moreover, the solution is presented in the form of a fractional series over the entire Hilbert spaces without unwarranted assumptions on the considered models. The validity of the present algorithm is illustrated by expounding and testing two numerical examples. The achieved results indicate that the proposed algorithm is systematic, feasibility, stability, and convenient for dealing with other fractional systems emerging in the physical, technology and engineering. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
In this paper a new numerical algorithm for medium voltage overhead line protection and autoreclosure is presented. It is based on one terminal data processing and it is derived in the time domain. In the algorithm, t...
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In this paper a new numerical algorithm for medium voltage overhead line protection and autoreclosure is presented. It is based on one terminal data processing and it is derived in the time domain. In the algorithm, the fault location and fault nature (arcing or arcless fault) are estimated using the linear least error squares estimation technique. An arc occurring on the fault point during arcing faults on overhead lines is included in the consideration of the problem. Additionally, by introducing the pre-fault load current in the existing model, better algorithm performances are achieved. The algorithm is derived for the case of a three-phase symmetrical fault. The computer simulation results of the algorithm testing are presented and, in particular, the algorithm sensitivity to arc elongation effects and processing of the signals in the presence of harmonics is tested and analysed.
The aim of this article is to introduce the reproducing kernel algorithm for obtaining the numerical solutions of fractional order systems of Dirichlet function types. The algorithm provide appropriate representation ...
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The aim of this article is to introduce the reproducing kernel algorithm for obtaining the numerical solutions of fractional order systems of Dirichlet function types. The algorithm provide appropriate representation of the solutions in infinite series formula with accurately computable structures. By interrupting the n-term of exact solutions, numerical solutions of linear and nonlinear time-fractional equations of homogeneous and nonhomogeneous function type are studied from mathematical viewpoint. Convergence analysis, error estimations, and error bounds for the present algorithm are also discussed. The dynamical properties of these numerical solutions are discussed and the profiles of several representative numerical solutions are illustrated. Finally, the utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such systems compared with other numerical methods.
The problem of variational assimilation of sea surface temperature data is formulated and studied. An algorithm for solving the problem is developed. numerical results are presented.
The problem of variational assimilation of sea surface temperature data is formulated and studied. An algorithm for solving the problem is developed. numerical results are presented.
In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would a...
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In this paper, a numerical algorithm for constructing Laypunov functions of polynomial system is described. The algorithm is described for second-dimension system although extension to higher dimension systems would appear to be possible. Using the algorithm, we can obtain the estimation of asymptotic stability regions of nonlinear autonomous dynamical systems. numerical examples further illustrate the theoretical work in this paper.
The paper presents a numerical algorithm used for the solving of the navigation problem in a strap-down inertial system set on a vehicle which has a short mission near by the Earth. The algorithm is divided into two d...
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ISBN:
(纸本)9537044041
The paper presents a numerical algorithm used for the solving of the navigation problem in a strap-down inertial system set on a vehicle which has a short mission near by the Earth. The algorithm is divided into two distinct sequences: the establishing of the vehicle's attitude and the calculation of its speed and position. The introduction comprises the deduction of the quaternionic differential attitude equation. We chose this variant because of the means of calculation: a shorter and quicker way. Moreover, in order to simplify the algorithm an order one Wilcox algorithm was used for the numerical integration of the attitude equation. We mention, though, that for avoiding the commuting errors the acquired gyrometers data will be processed successively on three different channels.
This paper deals with the techniques for solving ordinary differential equations with essential nonlinearity arising from the representation of frictional force by the sign function of the relative velocity. This prob...
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We give a study to the algorithm for semi-linear parabolic PDEs in Henry-Labordere (2012) and then generalize it to the non-Markovian case for a class of Backward SDEs (BSDEs). By simulating the branching process, the...
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We give a study to the algorithm for semi-linear parabolic PDEs in Henry-Labordere (2012) and then generalize it to the non-Markovian case for a class of Backward SDEs (BSDEs). By simulating the branching process, the algorithm does not need any backward regression. To prove that the numerical algorithm converges to the solution of BSDEs, we use the notion of viscosity solution of path dependent PDEs introduced by Ekren et al. (to appear) [5] and extended in Ekren et al. (2012) [6,7]. (C) 2013 Elsevier B.V. All rights reserved.
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