# Coil current and vacuum magnetic flux calculation for axisymmetric equilibria

## Abstract

In fixed-boundary axisymmetric equilibrium calculations the plasma shape is assigned from input. In several circumstances, the plasma shape may not be known a priori, or one may desire to also compute the magnetic field in the volume surrounding the plasma through the calculation of a free-boundary equilibrium. This requires either the coil currents or the magnetic poloidal flux on a curve in the vacuum region to be assigned as input for the free-boundary equilibrium calculation. The FREE-FIX code presented in this article is a general tool for calculating coil currents being given a fixed-boundary calculation. Finally, a new formulation is presented, which considerably reduces the computational cost of the calculation. FREE-FIX performs well for different geometries and experiments.

- Authors:

- Auburn Univ., AL (United States)

- Publication Date:

- Research Org.:
- Auburn Univ., AL (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1594951

- Grant/Contract Number:
- SC0014196; FG02-93ER54215; S013799-F

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Plasma Physics and Controlled Fusion

- Additional Journal Information:
- Journal Volume: 59; Journal Issue: 12; Journal ID: ISSN 0741-3335

- Publisher:
- IOP Science

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

### Citation Formats

```
Guazzotto, L. Coil current and vacuum magnetic flux calculation for axisymmetric equilibria. United States: N. p., 2017.
Web. doi:10.1088/1361-6587/aa8be4.
```

```
Guazzotto, L. Coil current and vacuum magnetic flux calculation for axisymmetric equilibria. United States. doi:10.1088/1361-6587/aa8be4.
```

```
Guazzotto, L. Thu .
"Coil current and vacuum magnetic flux calculation for axisymmetric equilibria". United States. doi:10.1088/1361-6587/aa8be4. https://www.osti.gov/servlets/purl/1594951.
```

```
@article{osti_1594951,
```

title = {Coil current and vacuum magnetic flux calculation for axisymmetric equilibria},

author = {Guazzotto, L.},

abstractNote = {In fixed-boundary axisymmetric equilibrium calculations the plasma shape is assigned from input. In several circumstances, the plasma shape may not be known a priori, or one may desire to also compute the magnetic field in the volume surrounding the plasma through the calculation of a free-boundary equilibrium. This requires either the coil currents or the magnetic poloidal flux on a curve in the vacuum region to be assigned as input for the free-boundary equilibrium calculation. The FREE-FIX code presented in this article is a general tool for calculating coil currents being given a fixed-boundary calculation. Finally, a new formulation is presented, which considerably reduces the computational cost of the calculation. FREE-FIX performs well for different geometries and experiments.},

doi = {10.1088/1361-6587/aa8be4},

journal = {Plasma Physics and Controlled Fusion},

number = 12,

volume = 59,

place = {United States},

year = {2017},

month = {10}

}

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