J. Blum, C. Boulbe, and B. Faugeras, Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time, Journal of Computational Physics, vol.231, issue.3, pp.960-980, 2012.
DOI : 10.1016/j.jcp.2011.04.005
URL : https://hal.archives-ouvertes.fr/hal-00419608

J. Bucalossi, Feasibility study of an actively cooled tungsten divertor in Tore Supra for ITER technology testing, Fusion Engineering and Design, vol.86, issue.6-8, pp.684-688, 2011.
DOI : 10.1016/j.fusengdes.2011.01.114

J. Wesson, Tokamaks, volume 118 of International Series of Monographs on Physics, 2004.

O. 'brien, D. P. Lao, L. L. Solano, E. R. Garribba, M. Taylor et al., Equilibrium analysis of iron core tokamaks using a full domain method, Nuclear Fusion, issue.8, pp.321351-1360, 1992.

J. Blum, Numerical Simulation and Optimal Control in Plasma Physics with Applications to Tokamaks, Series in Modern Applied Mathematics, 1989.

B. Faugeras, A. Ben-abda, J. Blum, and C. Boulbe, Minimization of an energy error functional to solve a cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a tokamak, pp.37-60, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00481257

D. P. O-'brien, J. Ellis, and J. Lingertat, Local expansion method for fast plasma boundary identification in JET, Nuclear Fusion, vol.33, issue.3, pp.467-474, 1993.
DOI : 10.1088/0029-5515/33/3/I08

F. Sartori, A. Cenedese, and F. Milani, JET real-time object-oriented code for plasma boundary reconstruction, Fusion Engineering and Design, vol.66, issue.68, pp.66-68735, 2003.
DOI : 10.1016/S0920-3796(03)00290-4

F. Saint-laurent and G. Martin, Real time determination and control of the plasma localisation and internal inductance in Tore Supra, Fusion Engineering and Design, vol.56, issue.57, pp.56-57761, 2001.
DOI : 10.1016/S0920-3796(01)00399-4

B. J. Braams, The interpretation of tokamak magnetic diagnostics, Plasma Physics and Controlled Fusion, vol.33, issue.7, pp.715-748, 1991.
DOI : 10.1088/0741-3335/33/7/001

P. M. Morse and H. Feshbach, Methods of theoritical physics, 1953.

D. K. Lee and Y. M. Peng, An approach to rapid plasma shape diagnostics in tokamaks, Journal of Plasma Physics, vol.22, issue.01, pp.161-173, 1981.
DOI : 10.1063/1.861186

G. N. Deshko, T. G. Kilovataya, Y. K. Kuznetsov, V. N. Pyatov, and Y. I. , Determination of the plasma column shape in a tokamak from magnetic measurements, Nuclear Fusion, vol.23, issue.10, pp.1309-1317, 1983.
DOI : 10.1088/0029-5515/23/10/005

S. P. Bondarenko, V. E. Golant, M. P. Gryaznevich, Y. K. Kuznetsov, V. N. Pyatov et al., Measurement of the shape of the plasma column in the tuman-3 tokamak, Sov. J. Plasma Phys, vol.10, pp.520-524, 1984.

F. Alladio and F. Crisanti, Analysis of MHD equilibria by toroidal multipolar expansions, Nuclear Fusion, vol.26, issue.9, pp.1143-1163, 1986.
DOI : 10.1088/0029-5515/26/9/002

B. P. Van-milligen, Exact relations between multipole moments of the flux and moments of the toroidal current density in tokamaks, Nuclear Fusion, vol.30, issue.1, pp.157-160, 1990.
DOI : 10.1088/0029-5515/30/1/012

K. Kurihara, Improvement of Tokamak Plasma Shape Identification with a Legendre-Fourier Expansion of the Vacuum Poloidal Flux Function, Fusion Science and Technology, vol.22, issue.3, pp.334-349, 1992.
DOI : 10.13182/FST22-334-349

B. P. Van-milligen, L. Fraguas, and A. , Expansion of vacuum magnetic fields in toroidal harmonics, Computer Physics Communications, vol.81, issue.1-2, pp.74-90, 1994.
DOI : 10.1016/0010-4655(94)90112-0

Y. Fischer, Identi???cation de param??tres magn??tiques ?? l'int??rieur d'un tokamak, Journal Europ??en des Syst??mes Automatis??s, vol.46, issue.6-7, pp.611-632, 2012.
DOI : 10.3166/jesa.46.611-632

B. J. Braams, Computational studies in Tokamak equilibrium and transport, 1986.

Y. Fischer, Approximation dans des classes de fonctions analytiques généralisées et résolution de probì emes inverses pour les tokamaks, 2011.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1964.
DOI : 10.1119/1.1972842

J. Segura and A. Gil, Evaluation of toroidal harmonics, Computer Physics Communications, vol.124, issue.1, pp.104-122, 2000.
DOI : 10.1016/S0010-4655(99)00428-2

L. Zakharov and V. D. Shafranov, Equilibrium of a Toroidal Plasma with Non-circular Cross Section, Sov. Phys. Tech. Phys, vol.18, pp.151-156, 1973.

P. Hertout, C. Boulbe, E. Nardon, J. Blum, S. Brémond et al., The CEDRES++ equilibrium code and its application to ITER, JT-60SA and Tore Supra, Fusion Engineering and Design, vol.86, issue.6-8, pp.1045-1048, 2011.
DOI : 10.1016/j.fusengdes.2011.03.092
URL : https://hal.archives-ouvertes.fr/hal-00872280

X. Yue, Z. Xiao, Y. Luo, and . Guo, Fast equilibrium reconstruction for tokamak discharge control based on GPU. Plasma Phys, Control. Fusion, vol.55, p.9, 2013.

W. A. Cooper, J. P. Graves, and O. Sauter, Helical ITER hybrid scenario equilibria, Plasma Physics and Controlled Fusion, vol.53, issue.2, p.24002, 2011.
DOI : 10.1088/0741-3335/53/2/024002
URL : http://infoscience.epfl.ch/record/163028

W. A. Cooper, Bifurcated helical core equilibrium states in tokamaks, Nuclear Fusion, vol.53, issue.7, p.73021, 2013.
DOI : 10.1088/0029-5515/53/7/073021

S. Lazerson and I. T. Chapman, STELLOPT modeling of the 3D diagnostic response in ITER, Plasma Physics and Controlled Fusion, vol.55, issue.8, p.84004, 2013.
DOI : 10.1088/0741-3335/55/8/084004

J. D. Hanson, Non-axisymmetric equilibrium reconstruction for stellarators, reversed field pinches and tokamaks, Nuclear Fusion, vol.53, issue.8, p.83016, 2013.
DOI : 10.1088/0029-5515/53/8/083016

A. D. Turnbull, Comparisons of linear and nonlinear plasma response models for non-axisymmetric perturbations, Physics of Plasmas, vol.20, issue.5, p.56114, 2013.
DOI : 10.1063/1.4805087