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33 articles for “Laplace equation”
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Magneto-thermodynamic Stress Analysis of an Orthotropic Solid Cylinder by Fractional Order Theory Application
Abstract: This study presents the Magneto-thermodynamic Response of Orthotropic Solid Cylinder in context of fractional order theory. The Laplace transform and finite Marchi–Zgrablich transform techniques have been used to analyze the thermal behavior of solid cylinder. The Magneto-thermodynamic stresses and perturbation of magnetic field vector in finite orthotropic cylinder are obtained in the transformed domain under sudden temperature change to a constant temperature and permeated by uniform primary magnetic field. Numerical …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 1, 2019 · pp. 37–45 Read article
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The Electromagnetic Transients in Mixed Power Networks with Partial Undergrounding
Abstract: This paper deals with the electromagnetic transients in partially undergrounded mixed high voltage power networks. These networks can include several cable sections replacing parts of the overhead transmission lines. The analysis yields the transient voltage and current distributions along the normal and the partially undergrounded lines. Moreover, the results can indicate eventually existing localized voltage and current concentrations within the network. The study suggests an exact direct analytical distributed parameter …
Published in Journal of Power Electronics and Power Systems · Vol. 7, Issue 2, 2017 · pp. 1–13 Read article
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Electromagnetic Transients in Strongly Non-Uniform Overhead High Voltage Lines
Abstract: This paper addresses the electromagnetic transients in high strongly non-uniform overhead voltage lines. For their simulation, a novel Laplace-domain approach has been introduced. The voltage and current patterns in terms of location and complex frequency are determined by a set of simultaneous algebraic and partial differential equations. To solve them numerically, an effective Mathematica code is proposed. By contrasting the outcomes of their application to multiple case studies with those …
Published in Journal of Power Electronics and Power Systems · Vol. 15, Issue 1, 2025 · pp. 30–36 Read article
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A New Approach to the Laplace-Domain Transient Analysis of Non-Uniform Lines with Application to Power Line Towers
Abstract: Abstract:This paper presents a new technique for the Laplace-domain analysis ofthe electromagnetic transients in non-uniform lines with special consideration of high voltage power line towers. The derived partial differential equations governing the voltage and current distributions, as functions of both the location and time, are solved by an efficient Mathematica computercode based on parametric functions. The applicability of the proposed direct distributed-parameter simulation is demonstrated. Theresults are in good agreement …
Published in Trends in Electrical Engineering · Vol. 9, Issue 3, 2019 · pp. 1–10 Read article
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Electromagnetic Transients of a Sagging Conductor above Lossy Earth—Effect of its Loading and of the Earth Parameters
Abstract: This paper addresses the electromagnetic transients of a non-uniform overhead transmission line conductor with due consideration of its receiving-end load, its sag and of the earth parameters. The concept of the complex penetration depth is adopted in the formulation of the line’s equations in the s-domain. A relation for the conductor height as a function of the longitudinal co-ordinate is derived and incorporated in the analysis. The two simultaneous differential …
Published in Journal of Power Electronics and Power Systems · Vol. 7, Issue 3, 2017 · pp. 47–59 Read article
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Analysis of Simply Supported and Clamped-Clamped Beam Resting on a Pasternak Foundation Subjected to Moving Load with a Damping Term
Abstract: A comparative analysis of simply supported and clamped-clamped Bernoulli-Euler beams resting on a Pasternak foundation under the action of a concentrated moving load with a damping term, when the inertia effect of the moving load is considered in its analysis, was investigated in this study. The governing equation was solved by representing the Dirac delta function through a Fourier cosine series and applying a combination of analytical techniques, including the …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 42–59 Read article
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T-π Network Simulation and Thevenin- Norton Equivalent Circuit Values From Laplace Description Using Pspice Software
Abstract: From the conversion methods of T-π (star-delta) for impedances circuits, the behavioral modeling of Pspice simulation program is used to obtain equivalent circuits using LAPLACE option. The conversions are verified for two types of circuits by obtaining AC values of voltages and currents at various nodes and branches using Pspice computer simulations. There are many ways of expressing Thevenin/Norton equivalent circuit parameters such as (a) as real numbers for pure …
Published in Journal of Semiconductor Devices and Circuits · Vol. 9, Issue 2, 2022 · pp. 43–58 Read article
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New Solution Technique for the Frequency and Transient Response of Transformer Windings with All Inter-Turn Mutual Inductances and Capacitances Included
Abstract: This paper addresses the frequency response, the identification of the resonance frequencies as well as the transient response of transformer windings taking into account all possible inter-turn mutual inductances and capacitances. The mutual inductances and capacitances between any turn to all other turns, i.e. not only the immediately adjacent ones, are considered. The analysis starts with writing the set of simultaneous differential equations relating the currents and voltages within the …
Published in Trends in Electrical Engineering · Vol. 3, Issue 1, 2013 · pp. 22–41 Read article
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New Solution Technique for the Frequency and Transient Response of Transformer Windings with All Inter-Turn Mutual Inductances and Capacitances Included
Abstract: This paper addresses the frequency response, the identification of the resonance frequencies as well as the transient response of transformer windings taking into account all possible inter-turn mutual inductances and capacitances. The mutual inductances and capacitances between any turn to all other turns, i.e., not only the immediately adjacent ones, are considered. The analysis starts with writing the set of simultaneous differential equations relating the currents and voltages within the …
Published in Trends in Electrical Engineering · Vol. 3, Issue 3, 2013 · pp. 29–50 Read article
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Electromagnetic Transients and Frequency Characteristics of a Loaded Horizontal Conductor above Lossy Earth
Abstract: This paper addresses the electromagnetic transients and the frequency characteristics of a thin conductor horizontally suspended above lossy earth. The analysis takes into consideration the receiving-end termination and the earth parameters. The effect of the ground return is represented by incorporating the concept of the complex penetration depth in the formulation of the line’s equations in the s-domain. The resulting simultaneous differential equations governing the voltage and current are solved …
Published in Journal of Power Electronics and Power Systems · Vol. 8, Issue 1, 2018 · pp. 29–41 Read article
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FLEXURAL VIBRATION OF NON-UNIFORM BEAM ON BI-PARAMETRIC FOUNDATION UNDER HARMONIC MOVING LOAD WITH NON-CLASSICAL BOUNDARY CONDITIONS
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
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On the Time Fractional Natural Convection Flow of Incompressible Viscous Fluid Past Vertical Plate
Abstract: Time fractional partial differential equations governing the free convective flow of an incompressible viscous fluid over vertical plate with Newtonian heating and mass diffusion in the presence of first order chemical reaction are derived by using fractional complex transforms. The dimensionless temperature, concentration and velocity field and the rate of heat and mass transfer from the plate to the field are determined using Laplace transform. The similarly solution for ordinary …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 69–74 Read article
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Efficient Technique for Analyzing Non-Uniform Transformer Windings
Abstract: This paper addresses the electromagnetic transients and the frequency characteristics of non-uniform transformer windings exhibiting inter-winding mutual circuit parameters. The dependence of the winding inductances and capacitances on the location along the winding is incorporated in the governing Kirchhoff’s voltage and current equations with the voltages and currents as unknowns. These unknowns will then be determined through the application of algebraic solution techniques in order to get closed-form analytical voltage …
Published in Journal of Power Electronics and Power Systems · Vol. 11, Issue 3, 2021 · pp. 1–8 Read article