A continuum model for current distribution in Rutherford cables

Akhmetov, A.A.; Bottura, L.; Breschi, Marco

doi:10.1109/77.920280

Cited by 13 publications

(19 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The voltages induced by external sources, such as, e.g., a time dependent external magnetic field dB/dt, are also distributed along the cable length and they are taken in account by means of external voltages per unit length ext h v (with h= 1, N). The equations of current diffusion in the presence of a longitudinal resistance describing the non linear current-voltage characteristics of each strand can be easily derived [12]. In the scope of the present study, the longitudinal resistance is neglected, i.e.…”

Section: Model and Assumptionsmentioning

confidence: 99%

“…The model for the current distribution that we have developed [12,18] is shown schematically in Fig. 1 (for three strands).…”

Section: Model and Assumptionsmentioning

confidence: 99%

“…Some of these codes are based on lumped parameters circuit models of cables [5][6][7][8][9], while others rely on distributed parameters models [10][11][12]. Despite this large experimental and theoretical effort, there is a lack of simple quantitative formulae for the estimation of current non uniformities in real-scale conductors.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An analytical benchmark for the calculation of current distribution in superconducting cables

2003

View full text Add to dashboard Cite

The validation of numerical codes for the calculation of current distribution and AC loss in superconducting cables versus experimental results is essential, but could be affected by approximations in the electromagnetic model or incertitude in the evaluation of the model parameters. A preliminary validation of the codes by means of a comparison with analytical results can therefore be very useful, in order to distinguish among different error sources. We provide here a benchmark analytical solution for current distribution that applies to the case of a cable described using a distributed parameters electrical circuit model. The analytical solution of current distribution is valid for cables made of a generic number of strands, subjected to well defined symmetry and uniformity conditions in the electrical parameters. The closed form solution for the general case is rather complex to implement, and in this paper we give the analytical solutions for different simplified situations. In particular we examine the influence of different boundary conditions, the effect of a localised resistance in the middle of the cable such as in the case of quench and the effects of localized time dependent magnetic fluxes acting on the cable. AbstractThe validation of numerical codes for the calculation of current distribution and AC loss in superconducting cables versus experimental results is essential, but could be affected by approximations in the electromagnetic model or incertitude in the evaluation of the model parameters. A preliminary validation of the codes by means of a comparison with analytical results can therefore be very useful, in order to distinguish among different error sources. We provide here a benchmark analytical solution for current distribution that applies to the case of a cable described using a distributed parameters electrical circuit model. The analytical solution of current distribution is valid for cables made of a generic number of strands, subjected to well defined symmetry and uniformity conditions in the electrical parameters. The closed form solution for the general case is rather complex to implement, and in this paper we give the analytical solutions for different simplified situations. In particular we examine the influence of different boundary conditions, the effect of a localised resistance in the middle of the cable such as in the case of quench and the effects of localized time dependent magnetic fluxes acting on the cable.

show abstract

Section: Model and Assumptionsmentioning

confidence: 99%

“…The model for the current distribution that we have developed [12,18] is shown schematically in Fig. 1 (for three strands).…”

Section: Model and Assumptionsmentioning

confidence: 99%

See 1 more Smart Citation

An analytical benchmark for the calculation of current distribution in superconducting cables

2003

View full text Add to dashboard Cite

show abstract

“…The model for the current distribution in a superconducting cable is based on the distributed parameters circuit description discussed in detail in [3][4][5][6]. The model assumes that each strand carries a current uniformly distributed in its cross section, and thus neglects the coupling currents that flow inside each strand among the twisted superconducting filaments.…”

Section: Model Descriptionmentioning

confidence: 99%

“…In order to study current distribution phenomena in multistage superconducting cables, we have developed in the past years a distributed parameters model that allows to calculate current distribution in very long cables used in magnets due to a substantial decrease of the number of the unknowns of the problem [1][2][3][4][5][6]. The model is a special case of a multi-conductor transmission line for which standard theory is available in the field of electrical engineering.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the current distribution in multistrand superconducting cables

Bottura

Breschi

Fabbri

2002

Journal of Applied Physics

Self Cite

View full text Add to dashboard Cite

Current distribution in multistrand superconducting cables can be a major concern for stability in superconducting magnets and for field quality in particle accelerator magnets. In this paper we describe multistrand superconducting cables by means of a distributed parameters circuit model. We derive a system of partial differential equations governing current distribution in the cable and we give the analytical solution of the general system. We then specialize the general solution to the particular case of uniform cable properties. In the particular case of a two-strand cable, we show that the analytical solution presented here is identical to the one already available in the literature. For a cable made of N equal strands we give a closed form solution that to our knowledge was never presented before. We finally validate the analytical solution by comparison to numerical results in the case of a step-like spatial distribution of the magnetic field over a short Rutherford cable, both in transient and steady state conditions.

show abstract

Calculation of interstrand coupling losses in superconducting Rutherford cables with a continuum model

2018

View full text Add to dashboard Cite

A continuum model for current distribution in Rutherford cables

Cited by 13 publications

References 7 publications

An analytical benchmark for the calculation of current distribution in superconducting cables

An analytical benchmark for the calculation of current distribution in superconducting cables

Analytical solution for the current distribution in multistrand superconducting cables

Calculation of interstrand coupling losses in superconducting Rutherford cables with a continuum model

Contact Info

Product

Resources

About