An integral equation approach to the computation of nonlinear fields in electrical machines

Date

1988-7

Author

Kükrer, Osman
Ertan, H. Bülnet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

225
views

0
downloads

A numerical method based on an integral equation formulation, for the computation of nonlinear magnetostatic field, in two dimensions in cylindrical polar coordinates is given. The correctness of the method is illustrated by solving two linear two-dimensional magnetic field problems which have readily available analytical solutions. The dependence of the accuracy of the solution on the number and distribution of the meshes is studied on these examples. The method is then applied to the computation of the nonlinear field of a small salient pole synchronous machine. The technique used to accelerate the solution and other aspects of the solution are discussed. The program is used for the computation of magnetization characteristics, zero-power-factor characteristics, terminal voltages and their harmonics, and the field distribution in the air gap. Computed characteristics are compared with measurements. The results obtained illustrate that accurate and reasonably quick results are obtainable using this method

Subject Keywords

Integral equations, Magnetostatics, Magnetic fields, Magnetic analysis, Synchronous machines, Acceleration, Distributed computing, Magnetization, Voltage, Magnetic field measurement

URI

https://hdl.handle.net/11511/51915

Journal

IEEE Transactions on Magnetics

DOI

https://doi.org/10.1109/20.3414

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

An Application of the rayleigh-ritz method to the integral-equation representation of the one-dimensional schrödinger equation Kaya, Ruşen; Taşeli, Hasan; Department of Mathematics (2019) In this thesis, the theory of the relations between differential and integral equations is analyzed and is illustrated by the reformulation of the one-dimensional Schrödinger equation in terms of an integral equation employing the Green’s function. The Rayleigh- Ritz method is applied to the integral-equation formulation of the one-dimensional Schrödinger equation in order to approximate the eigenvalues of the corresponding singular problem within the desired accuracy. The outcomes are compared with those r...
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems Ergül, Özgür Salih (null; 2006-11-10) We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving large scatterers. MFIE and CFIE with the conventional Rao-Wilton-Glisson (RWG) basis functions are significantly inaccurate even for large and smooth geometries, such as a sphere, compared to the solutions by the electric-field integral equation (EFIE). By using the LL funct...
An eigenfunction expansion for the Schrodinger equation with arbitrary non-central potentials Taşeli, Hasan; Uğur, Ömür (2002-11-01) An eigenfunction expansion for the Schrodinger equation for a particle moving in an arbitrary non-central potential in the cylindrical polar coordinates is introduced, which reduces the partial differential equation to a system of coupled differential equations in the radial variable r. It is proved that such an orthogonal expansion of the wavefunction into the complete set of Chebyshev polynomials is uniformly convergent on any domain of (r, theta). As a benchmark application, the bound states calculations...
The geometry of self-dual two-forms Bilge, AH; Dereli, T; Kocak, S (1997-09-01) We show that self-dual two-forms in 2n-dimensional spaces determine a n(2)-n+1-dimensional manifold S-2n and the dimension of the maximal linear subspaces of S-2n is equal To the (Radon-Hurwitz) number of linearly independent vector fields on the sphere S2n-1. We provide a direct proof that for n odd S-2n has only one-dimensional linear submanifolds. We exhibit 2(c)-1-dimensional subspaces in dimensions which are multiples of 2(c), for c=1,2,3. In particular, we demonstrate that the seven-dimensional linear...
A Rayleigh–Ritz Method for Numerical Solutions of Linear Fredholm Integral Equations of the Second Kind Kaya, Ruşen; Taşeli, Hasan (2022-01-01) A Rayleigh–Ritz Method is suggested for solving linear Fredholm integral equations of the second kind numerically in a desired accuracy. To test the performance of the present approach, the classical one-dimensional Schrödinger equation -y″(x)+v(x)y(x)=λy(x),x∈(-∞,∞) has been converted into an integral equation. For a regular problem, the unbounded interval is truncated to x∈ [ - ℓ, ℓ] , where ℓ is regarded as a boundary parameter. Then, the resulting integral equation has been solved and the results are co...

Citation Formats

O. Kükrer and H. B. Ertan, “An integral equation approach to the computation of nonlinear fields in electrical machines,” IEEE Transactions on Magnetics, pp. 2118–2124, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51915.