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116 articles for “differential equation”
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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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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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Formation of Reaction Bubbles in FCC Riser Reactor
Abstract: For modeling FCC unit, art of defining undefined hydrocarbon misxtures in conjunction with application of two different specialized fields of Chemical Engineering–Chemical Reaction Engineering (CRE) and Computational Fluid Dynamics (CFD) are required. CRE needs elaboarte and appropriate definition of undefined mixture and their chemical kinetics, whereas CFD needs solution of more regorous differential equations to define fluctuating and turbulent flow. Most of the reported works in available literature seems to …
Published in Journal of Petroleum Engineering & Technology · Vol. 1, Issue 1-3, 2011 · pp. 16–27 Read article
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A New Hyperbolic Shear Deformation Theory for Flexure of Thick Simply Supported Beam
Abstract: A new hyperbolic shear deformation theory for flexure of simply supported thick or deep beam, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the hyperbolic shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The trigonometric function is used in displacement field in terms of thickness …
Published in Journal of Structural Engineering and Management · Vol. 1, Issue 3, 2014 · pp. 15–22 Read article
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Analysis of Six-Pulse Bridge Circuits Including Zener and Semiconductor Diodes – Part Two
Abstract: The present study offers a generic method for simulating and modelling six-pulse rectifier bridge circuits in the time domain. These circuits can include Zener and/or semi-conductor type diodes or even a mixture of them. The governing system of simultaneous algebraic and differential equations are listed and solved numerically using a computer code written in Mathematica. The flexibly written program can handle voltage sources of any time waveform, frequency or internal …
Published in Journal of VLSI Design Tools and Technology · Vol. 12, Issue 2, 2022 · pp. 13–21 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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An Efficient General Distributed Parameter Approach to the Line Transient Analysis using Interpolating Function
Abstract: This paper presents an efficient technique for the time-domain determination of the electromagnetic transients along general transmission lines. The lines can be uniform or nonuniform. The technique is also applicable to line models incorporating dependent sources, such as the distributed voltage-dependent current sources usually adopted for simulating the line corona. The suggested approach is based on the concept of the interpolating functions for the numerical solution of just two simultaneous …
Published in Trends in Electrical Engineering · Vol. 3, Issue 3, 2013 · pp. 1–21 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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Transients of Short-Circuits and Fault Clearance in 6-Pulse Diode Rectifiers
Abstract: The paper addresses the short-circuit transients in 6-pulse diode rectifier bridges. It includes also an investigation into the transients resulting from the subsequent fault clearance. Unit-step functions are efficiently used for representing the diode characteristics and emulating the fault switching actions. The short-circuit fault and its subsequent clearance are simulated by means of a time-dependent shunt resistance at the rectifier terminals. The governing set of simultaneous algebraic and differential equations …
Published in Trends in Electrical Engineering · Vol. 10, Issue 3, 2020 · pp. 6–14 Read article
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Numerical Investigation of Slip Conditions in Nanofluid Flow Induced by a Nonlinearly Stretching Sheet: A bvp4c Approach
Abstract: The present work describes a numerical analysis of the steady, laminar flow over a nonlinear stretching sheet in a nanofluid medium. Slip conditions in terms of velocity, temperature, and concentration have been introduced into the mathematical model to capture the impact of interfacial mass transfer on the stretching surface. The problem is modeled to include nanoparticle transportation in terms of Brownian diffusion and thermophoresis, thereby affecting the temperature and concentration …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 34–51 Read article
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Generalized Yang-Fourier Transforms by using K-Function to Heat Conduction in a Semi-infinite Fractal Bar
Abstract: The main objective of present research paper to solve one-dimensional fractal heat-conduction differential equation problem in a fractal semi-infinite bar has been developed by local fractional calculus employing the analytical Generalized Yang-Fourier transforms method.Keywords: Fractal bar, heat-conduction equation, Generalized Yang-Fourier transforms, Yang-Fourier transforms, local fractional calculus, K-FunctionCite this ArticleManoj Sharma, Kiran Sharma. Generalized Yang-Fourier Transforms by using K-Function to Heat Conduction in a Semi-Infinite Fractal Bar. Research & Reviews: Discrete …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 3, 2019 · pp. 13–18 Read article
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Dynamic Analysis of a Switched Boost Converter Singular System using Mehtod-Rachid Algorithm
Abstract: Electronics technology is a very dynamically evolving technology as compared to any other domains. The advent of these changes is forcing us to relook at the conventional physics, and mathematical models related to switching systems in particular or singular systems in general. Mostly we always drive system characteristics assuming a singular system to be linear. Singular systems are those the dynamics of which are governed by a mixture of algebraic …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 1–4 Read article
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Analysis of Nonlinear Dynamic Model of Ball Bearing with Effect of Internal Radial Clearance
Abstract: It is a critical process to determine the response of rolling element bearing vibration using dynamic behavior analysis. Rolling element bearing works on the principal of transmission of load from moving race to stationary race. Generally outer race is fixed and load transmission takes place from inner race to outer race. In rolling bearing analytical formulation, the contact between rolling element and raceways is considered as nonlinear springs and their …
Published in Trends in Mechanical Engineering & Technology · Vol. 3, Issue 1, 2013 · pp. 1–8 Read article
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Vibration of visco-elastic parallelogram plate with linearly thickness variations in both directions
Abstract: An analysis for free transverse vibrations of visco-elastic parallelogram plate whose thickness varies linearly in both directions is presented. Using the separation of variables method and Rayleigh-Ritz technique with a two-term deflection function, the governing differential equation has been solve for vibration of visco-elastic parallelogram plate. For the visco-elastic case, the basic elastic and viscous elements are combined. The Kelvin model for visco-elasticity that is a combination of the elastic …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 28–49 Read article
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Flexure and vibration of thick beams using trigonometric shear deformation theory
Abstract: A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 1–27 Read article
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Flexure of Thick Cantilever Beams using Trigonometric Shear Deformation Theory
Abstract: A trigonometric shear deformation theory for flexural analysis of thick beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 1, 2012 · pp. 17–31 Read article
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Thermal Effect on Frequencies of Non-homogeneous Trapezoidal Plate with Linearly Varying Thickness in One Direction and Linearly Varying Density in other Direction
Abstract: In this study thermal effect on vibrations of non homogeneous trapezoidal plate has been investigated whose thickness varies linearly in one direction and density varies linearly in other direction. Governing differential equation has been derived using classical plate theory. Rayleigh-Ritz method is applied to obtain the frequencies for the first two modes of vibration. Clamped-Simply supported-Clamped-Simply supported boundary condition is considered with two term deflection function. Effect of various plate …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 2-3, 2012 · pp. 25–37 Read article
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Thermal Modelling and Simulation of Brushless D.C. Motor for Electromechanical Actuation
Abstract: A lumped-parameter thermal model is described which provides both a steady-state and transient solution to the temperatures within an electrical machine. The model is sufficiently complex to identify the temperatures at most locations in the machine, including the peak temperatures in the end winding and the surface temperatures of the rotor. It is formulated out of purely dimensional information and constant thermal coefficients and is therefore easily adapted to a …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 1, 2013 · pp. 16–28 Read article
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Displacements in Thick Beams Using Refined Shear Deformation Theory
Abstract: Normal 0 false false false EN-US X-NONE X-NONE A trigonometric shear deformation theory for displacement of thick beams, by considering the transverse shear deformation effects, is presented. Variables in the present theory are same as that of in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. Governing differential equations and various boundary conditions …
Published in Journal of Aerospace Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 22–30 Read article