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17 articles for “Laplace transforms”
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Implementation of Laplace Transform in Various Science and Engineering Field and Relation of Laplace Transform with Z-Transform
Abstract: In this paper, applications of Laplace Transform and Z-transform in different science and engineering fields have been analyzed. The applications of Laplace Transform are useful in various areas of electrical engineering, control engineering, physics, signal processing, automation engineering. Z-transform is used to convert discrete time domain signal into discrete frequency domain signal. It has wide range of applications in mathematics and digital signal processing. It is mainly used to analyze …
Published in Journal of Experimental & Applied Mechanics · Vol. 10, Issue 2, 2019 · pp. 36–40 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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Fractional Homotopy Analysis Transform Method for a Fin Having Temperature Dependent Internal Heat Generation
Abstract: Fractional Homotopy Analysis Transform Method (FHATM) is a new analytical tool for solving homogeneous and non-homogeneous fin equations. FHATM is a novel and innovative modification in Laplace Transform Algorithm (LTA) thus making analysis easier. Non-linear problems are solved by proposed technique without using Adomian and He’s polynomial which is a clear benefit of this new algorithm over decomposition and homotopy perturbation transform methods. This is an elementary technique which gives …
Published in Journal of Experimental & Applied Mechanics · Vol. 10, Issue 1, 2019 · pp. 23–34 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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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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Uniform Beam Dynamics Under Exponentially Moving Load on Bi-paeametric Foundation with Time-dependent Boundary Effects
Abstract: This study investigates the problem of a uniform elastic beam subjected to exponentially varying moving load with time dependent boundary conditions. A complex structural dynamic problem that has very significant implications for various applications such as railway systems, bridge structures, industrial machinery will be addressed in this research. A damping term is built into the uniform beam model to give a more realistic picture of the structural behaviour, while the …
Published in Journal of Experimental & Applied Mechanics · Vol. 17, Issue 2, 2026 · pp. 53–64 Read article
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Modeling of Transformer Windings having Non-uniform Inductance Distribution
Abstract: A direct analytical procedure for analyzing power transformer windings with location-dependent series inductance is presented. This dependence is typically introduced in order to take the inter-turn mutual inductive coupling into consideration. The paper addresses the frequency domain analysis conducted in the complex s- or the jω-domains. Results for the frequency-dependent winding’s input impedance with different treatments of the transformer’s neutral point will be available. The frequency characteristics including the resonance …
Published in Journal of Power Electronics and Power Systems · Vol. 4, Issue 3, 2014 · pp. 12–25 Read article
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Animated Transient Response of High Voltage Power Line Towers Equipped with Nonlinear Footing Resistances
Abstract: This study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of …
Published in Trends in Electrical Engineering · Vol. 14, Issue 1, 2024 · pp. 44–52 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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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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A Study on a Single Server Batch Arrival General Bulk Service Queueing System
Abstract: AbstractThis paper deals with the transient and steady state behavior of a single server batch arrival bulk service queueing system. A batch of customers arrives according to a Poisson process, whereas the bulk service is rendered by a single server with a minimum batch size of ‘a’ and maximum of ‘b’. The service time follows a general distribution. Probability generating function of the distributions and , under equilibrium has been …
Published in Current Trends in Information Technology · Vol. 7, Issue 3, 2017 · pp. 1–8 Read article
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The Frequency and Transient Analyses of a High Voltage Bushing/Transformer Cascade
Abstract: This paper investigates the frequency characteristics and electromagnetic transients of a typical system composed of a high voltage bushing and a power transformer connected in cascade. Detailed distributed-parameter Laplace-domain models are adopted for the digital simulations. These parameters include, among others, the transformer winding’s series inductance, its capacitance to ground and the inter-turn capacitances. Moreover, the number, the geometrical data of the capacitively-graded bushing’s conducting foils and the dielectric insulating …
Published in Journal of Power Electronics and Power Systems · Vol. 9, Issue 1, 2019 · pp. 42–53 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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The Transient Response and Frequency Characteristics of Power Transformers having Non-uniform Winding Insulation
Abstract: This paper presents a Laplace-domain distributed-parameter technique for analyzing the transient and frequency response of power transformers having non-uniform winding insulation. Stronger winding insulation near the windings source side terminals is usually applied in order to mitigate the concentration of the transient voltage stresses close to these locations. This will result in a location-dependent inter-turn capacitance distribution. The suggested procedure for analyzing such windings is based on the cascade connection …
Published in Journal of Power Electronics and Power Systems · Vol. 4, Issue 1, 2014 · pp. 37–52 Read article
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An Analytical Method for the Analysis of Transformer Windings Having Non-Uniform Capacitance Distribution
Abstract: A direct procedure for the transient and frequency analysis of transformer windings with location-dependent inter-turn capacitance distribution is presented. This can help simulate windings with non-uniform insulation. The derived analytic solutions in the Laplace domain are based on expressing the non-uniformly-distributed series capacitance per unit length as the sum of a constant term and a variable part proportional to the square of the distance from the winding’s source terminal. The …
Published in Journal of Power Electronics and Power Systems · Vol. 5, Issue 2, 2015 · pp. 41–54 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