# Three-dimensional magnetic optimization of accelerator magnets using an analytic strip model

## Abstract

The end design is a critical step in the design of superconducting accelerator magnets. First, the strain energy of the conductors must be minimized, which can be achieved using differential geometry. The end design also requires an optimization of the magnetic field homogeneity. A mechanical and magnetic model for the conductors, using developable strips, is described in this paper. This model can be applied to superconducting Rutherford cables, and it is particularly suitable for High Temperature Superconducting tapes. The great advantage of this approach is analytic simplifications in the field computation, allowing for very fast and accurate computations, which save a considerable computational time during the optimization process. Some 3D designs for dipoles are finally proposed, and it is shown that the harmonic integrals can be easily optimized using this model.

- Authors:

- CEA Saclay/IRFU/SACM, 91191 Gif-Sur-Yvette (France)

- Publication Date:

- OSTI Identifier:
- 22308451

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Applied Physics; Journal Volume: 116; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ACCELERATORS; COMPUTERIZED SIMULATION; DESIGN; DIPOLES; HIGH-TC SUPERCONDUCTORS; MAGNETIC FIELDS; MAGNETS; OPTIMIZATION; STRAINS; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Rochepault, Etienne, E-mail: etienne.rochepault@gmail.com, Aubert, Guy, and Vedrine, Pierre.
```*Three-dimensional magnetic optimization of accelerator magnets using an analytic strip model*. United States: N. p., 2014.
Web. doi:10.1063/1.4890234.

```
Rochepault, Etienne, E-mail: etienne.rochepault@gmail.com, Aubert, Guy, & Vedrine, Pierre.
```*Three-dimensional magnetic optimization of accelerator magnets using an analytic strip model*. United States. doi:10.1063/1.4890234.

```
Rochepault, Etienne, E-mail: etienne.rochepault@gmail.com, Aubert, Guy, and Vedrine, Pierre. Mon .
"Three-dimensional magnetic optimization of accelerator magnets using an analytic strip model". United States.
doi:10.1063/1.4890234.
```

```
@article{osti_22308451,
```

title = {Three-dimensional magnetic optimization of accelerator magnets using an analytic strip model},

author = {Rochepault, Etienne, E-mail: etienne.rochepault@gmail.com and Aubert, Guy and Vedrine, Pierre},

abstractNote = {The end design is a critical step in the design of superconducting accelerator magnets. First, the strain energy of the conductors must be minimized, which can be achieved using differential geometry. The end design also requires an optimization of the magnetic field homogeneity. A mechanical and magnetic model for the conductors, using developable strips, is described in this paper. This model can be applied to superconducting Rutherford cables, and it is particularly suitable for High Temperature Superconducting tapes. The great advantage of this approach is analytic simplifications in the field computation, allowing for very fast and accurate computations, which save a considerable computational time during the optimization process. Some 3D designs for dipoles are finally proposed, and it is shown that the harmonic integrals can be easily optimized using this model.},

doi = {10.1063/1.4890234},

journal = {Journal of Applied Physics},

number = 2,

volume = 116,

place = {United States},

year = {Mon Jul 14 00:00:00 EDT 2014},

month = {Mon Jul 14 00:00:00 EDT 2014}

}