A potential vector field solution in superconducting magnets, part I: Method of calculation

Martinelli, G.; Morini, A.

doi:10.1109/tmag.1983.1062572

Cited by 6 publications

(5 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The analytical method presented by Martinelli and Morini (1983) and the corresponding results presented by Lombard0 et al (1983) are interesting and will prove useful for magnetic field calculations in superconducting DC magnets in the presence of radial and axial ferromagnetic yokes. Certain improvements can be made in the case of the axial shields by using the work of Caldwell and Zisserman (1983a, b).…”

Section: Discussionmentioning

confidence: 93%

“…In many physical and engineering situations the magnets have relatively uncomplicated cylindrical symmetry and, in such cases, analytical methods assuming constant, uniform permeability iron are preferred to purely numerical methods in calculating the magnetic field at every point of the magnet. Analytical approaches using Fourier series and the method of images have been devised independently by Caldwell and Zisserman (1983a) and Martinelli and Morini (1983). Although the latter approach is interesting and sound it is felt that it could be strengthened by incorporating some of the ideas of Caldwell and Zisserman.…”

Section: Introductionmentioning

confidence: 99%

“…Although the latter approach is interesting and sound it is felt that it could be strengthened by incorporating some of the ideas of Caldwell and Zisserman. Martinelli and Morini (1983) present an analytical method for calculating values and distribution of the magnetic field in superconducting DC magnets composed of cylindrical or saddle type coils. Their method takesinto account the actual length and finite thickness of the coils as well as the presence of radial and axial ferromagnetic yokes of constant permeability.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A note on the inclusion of axial shields in a potential vector field solution for superconducting magnets

Caldwell¹,

Zissermann²

1984

J. Phys. D: Appl. Phys.

View full text Add to dashboard Cite

Certain improvements can be made to the analytical method presented by Martinelli and Morini (1983) for calculating values and distribution of the magnetic field in superconducting DC magnets. The Fourier method can be modified to include constant, uniform permeability axial iron to a far greater accuracy for the case of finite permeability and an exact solution can be obtained for infinite permeability.

show abstract

Section: Discussionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A note on the inclusion of axial shields in a potential vector field solution for superconducting magnets

Caldwell¹,

Zissermann²

1984

J. Phys. D: Appl. Phys.

View full text Add to dashboard Cite

show abstract

“…Because the magnetic vector potential A V must be finite at r = 0, and considering the boundary conditions (20) and (21), the general solution of (19) can be expressed as…”

Section: General Solution Of Laplace's Equation In Region Vmentioning

confidence: 99%

“…Boundary value problem has been used by Rabins [18] to compute the inductances of a transformer with a simplified geometry consisting of a core, coils, and yokes of infinite extent. In [19][20][21], the magnetic field distribution of circular coils located between two semi-infinite blocks of iron is given. In these models, the ferromagnetic parts are supposed to be infinitely permeable and are taken into account by means of the boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Inductance and Force Calculation for Axisymmetric Coil Systems Including an Iron Core of Finite Length

Lubin

Berger

Rezzoug

2012

PIER B

View full text Add to dashboard Cite

Abstract-This paper presents new semi-analytical expressions to calculate the self-inductance and the electromagnetic force for a ferromagnetic cylinder of finite length placed inside a circular coil of rectangular cross section. The proposed analytical model is based on boundary value problems with Fourier analysis. Laplace's and Poisson's equations are solved in each region by using the separation of variables method. The boundary and continuity conditions between the different regions yield to the global solution. Moreover, the iron cylinder is assumed to be infinitely permeable. Magnetic field distribution, self-inductance and electromagnetic force obtained with the proposed analytical model are compared with those obtained from finite-element.

show abstract

Modifications of the Fourier approach for magnetic field calculations to include axial shields in superconducting magnets

Caldwell

1984

Journal of Applied Physics

View full text Add to dashboard Cite

Martinelli and Morini have used an analytical method for calculating values and distribution of the magnetic field in superconducting magnets. Using Fourier series the magnetic field is determined by carrying out a series expansion of the current density distribution of the system of coils. This Fourier method can be modified to include axial iron to a far greater accuracy (for finite permeability) by incorporating the image series approach of Caldwell and Zisserman. Also an exact solution can be obtained for the case of infinite permeability. A comparison of the results derived from the expansion of Martinelli and Morini with the exact solution of Caldwell and Zisserman shows excellent agreement for the iron-free case but the accuracy deteriorates as the permeability μz increases. The exact solution should be used for infinite permeability and also gives satisfactory results for permeability μz >100. A symmetric geometry is used throughout the communication for simplicity of presentation.

show abstract

A potential vector field solution in superconducting magnets, part I: Method of calculation

Cited by 6 publications

References 10 publications

A note on the inclusion of axial shields in a potential vector field solution for superconducting magnets

A note on the inclusion of axial shields in a potential vector field solution for superconducting magnets

Inductance and Force Calculation for Axisymmetric Coil Systems Including an Iron Core of Finite Length

Modifications of the Fourier approach for magnetic field calculations to include axial shields in superconducting magnets

Contact Info

Product

Resources

About