The analytical and numerical solution of electric and magnetic fields pdf

An overview of analytical methods for magnetic field computation. Computation and visualization of magnetic fields abstract. Peter john lawrenson, bsc, msc, dsc, fiee, fieee, frs, freng was an emeritus professor of electrical engineering at the university of leeds who contributed to the development of switched reluctance drive technology. Magnetoelectroelastic mee solids, as a special class of smart composite that exhibit full coupling between elastic, electric and magnetic fields. The numerical solution is performed using the algebra package maple 16. Analytical calculations of the potential and electric field distributions based on 2dmodels for different electrode arrays are performed by solving the laplace equation, meanwhile the numerical solution is solved by means of finite element method in two dimensions. Pdf electromagnetic fields, waves and numerical methods. Simple analytic expressions for the magnetic field of a.

Analytical and numerical solution of the eddycurrent problem in spherical coordinates based on the secondorder vector potential formulation. The book will be useful to students and lecturers in undergraduate and graduatelevel courses on classical electromagnetism and in computational physics. Wan ahmad centre of excellence on lightning protection celp faculty of engineering, universiti putra malaysia 43400 upm, serdang, selangor, malaysia. Numerical methods in electric and magnetic field analysis. The main reason for using the laplace equation rather than solving for electric fields directly is that boundary conditions can be satisfied more. Electrotherapy is a relatively well established and efficient method of tumor treatment. Analysis and computation of electric and magnetic field problems, second edition is a comprehensive treatment of both analytical and numerical methods for the derivation of twodimensional static and quasistatic electric and magnetic fields. The analytical expressions for air gap magnetic field are derived.

Theory of electromagnetic fields andrzej wolski university of liverpool, and the cockcroft institute, uk. Wigner function and pair production in parallel electric. Exposure to electric fields analytical and 2d numerical models. An overview of analytical methods for magnetic field. Analytical buckling solution of magnetoelectrothermoelastic cylindrical shells under multiphysics fields. Methods for calculating the current density and internal electric field induced in the human body. This normally involves solving the lorentz force equations with electromagnetic fields numerically. Semi analytical investigation of a transverse magnetic. Electric field potential at any point r due to the surface charge density r. Analytical magnetic field 21 component of the magnetic flux density exists b 0i2, which is the field of an infinitely long straight conductor carrying current i.

Analysis and computation of electric and magnetic field. New developments in teaching electromagnetics through. These methods can be used also for simulation in any electrical conductance scenario. To facilitate the solution, the forward backward method with spectral acceleration is applied. Chau department of electrical and electronic engineering the university of hong kong pokfulam road, hong kong, china abstractcoaxial magnetic gears are a new breed of magnetic devices, which utilize the interaction of permanent magnet.

Designed for accessibility to students, researchers and design and development workers, it discusses the full range of classical and modern methods for the solution of electric, magnetic, some read more. Pdf an overview of analytical methods for magnetic field. Both analytical and numerical techniques are used to obtain and analyse solutions. A popular method to solve the lorentz equation subject to electromagnetic fields is the boris integrator 1. This method gives successive approximations of high accuracy solution. The electric and magnetic fields inside each tetrahedron are approximated. Electromagnetic field analysis and its applications to product. Obtaining the analytical solution of the models and comparing with numerical result reveal the capability, effectiveness and convenience of ham. In the stationary case they split into independent problems for electric and magnetic fields. The analytical and numerical solution of electric and magnetic fields. Analytical buckling solution of magnetoelectrothermo. Numerical analysis of the manufacturing impact on magnetic.

First, the numerical results are compared with the analytical solution for layered flat surfaces to partly validate the formulation. Binns is the author of the analytical and numerical solution of electric and magnetic fields, published by wiley. Keywordsanalytical method, magnetic field, finite ele ment analysis, equivalent circuit. The computer calculations use mathematica version 10, and the relevant code is given in the text. Analytical and numerical solutions of the potential and. Twowire helix the twistedpair cable can be represented mathematically as a double helix that consists.

Numerical electromagnetic field analysis has become. Designed for accessibility to students, researchers and design and development workers, it discusses the full range of classical and modern methods for the solution. This paper outlines and describes the purpose of electromagnetic field. The analytical and numerical solution of electric and magnetic fields binns, k. Analytical and numerical calculation of magnetic field. In our program system there is a possibility to place a number of different cylindrical magnets of different sizes in different positions. Accuracy of numerical methods by calculating static and. Maxwell equations are the basis of the theory of electromagnetic fields.

Numericalanalytical method for magnetic field computation. The analytical and numerical solution of electric and magnetic fields by c. Numerical methods for solving maxwells equations are extensively used. The solution of laplaces equation by separation of the variables. Pdf multidomain analyticalnumerical solution for a. Special issue on advanced solution methods for modeling. Numerical methods for electromagnetic wave propagation and. Analytical and experimental validation of electromagnetic. Sir charles oatley electric and magnetic fields an introduction cambridge university press 1976 acrobat 7 pdf 51. Snapshot of a numerical solution to maxwells equations for a bunch of electrons moving through a beam. These numerical techniques enable the designer to study the problems that are difficult to be solved by analytical methods. The computation and visualization of 3d magnetic fields are time and resourceconsuming tasks, especially if there are several magnets in the space.

For the electric field in conductive media electrical conductivity problem is formulated, and in insulators the problem of electrostatics is. The comparison shows significant convergence between the presented analytical method and the numerical analysis method. Simple analytic expressions for the magnetic field of a circular current loop james simpson, john lane, christopher immer, and robert youngquist abstract analytic expressions for the magnetic induction and its spatial derivatives for a circular loop carrying a static current are presented in cartesian, spherical and cylindrical coordinates. The anomalous external fields are computed from the induced electric and magnetic dipole moments of the void, for this type of excita tion, the induced axial magnetic dipole moment is the dominant contributor to the scattered field. Numerical examples including several validations and a comprehensive parametric. Satisfactory solution is achieved when the number of the turns reaches 15. Exposure to electric or magnetic fields in the low and intermediate frequency range. Scattering from the finitelength, dielectric circular. The technical parameters of magnetic actuators, such as electromagnets, resonance actuators, reluctance actuators etc. In this paper we focus on analytical and numerical calculations of the potential and electric field distributions inside a tumor tissue in a twodimensional model 2dmodel generated by means of electrode arrays with shapes of different conic sections ellipse, parabola and hyperbola. Electromagnetic field analysis and its applications to. Analytical and 2d numerical models british standard. A numericalanalytical method is applied for the twodimensional magnetic field computation in rotational electric machines in this paper. Analytical investigations of electromagnetic fields in.

The pole pairs in the expressions are taken into account so that the solution region can be reduced within one periodic range. The electric and magnetic potential fields are calculated for each node as the output of a linear feedback system which has the impressed currents as the input. The finite elements method and its numerical results. Our interest is in validating the numerical methods in calculating electrical potential and current distribution in. The analytical and numerical solution of electric and magnetic fields, k. The number of electric machines are uses on a daily basis without thinking about it is large. The core underlying most of our software packages is the calculation of electric and magnetic.

Analytical and numerical calculation of magnetic field distribution in the slotted. Compared with magnetic field, however, the calculation electric fields generally require higher accuracy, because the highest electric field stress on. Kop the analytical and numerical solution of electric and magnetic fields av k j binns, p j. It deals with 1, 2 and 3 space dimensions, with linear, nonlinear and anisotropic. Numerical tracking charged particle motion in electric and magnetic fields has many applications in beam physics and plasma physics. An overview of analytical methods for magnetic field computation mitrofan curti, johannes j. Multidomain analyticalnumerical solution for a rotating magnetic field with a finitelength conducting cylinder article pdf available in ieee transactions on magnetics 362. The analytical and numerical solution of electric and magnetic fields k. Kennedy1, shahid akhtar1, jon arne bakken1 and ragnhild e. The electric and magnetic properties of such a lattice are assumed to be equivalent to that of brain and other tissues.