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Determination of the Dynamic ITER Energy Confinement Time Scalings
Royal Military School (RMS), Brussels, Belgium
Ecole Polytechnique de Louvain (EPL), Université Catholique de Louvain (UCL), Louvain-la-Neuve, Belgium
High Energy Nuclear Physics Group, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China
Department of Theoretical Physics and Mathematics, Université Libre de Bruxelles (U.L.B.), Campus Plaine, Brussels, Belgium
Physics Department, University of Craiova, Craiova, Romania
- 1 Royal Military School (RMS), Brussels, Belgium
- 2 Ecole Polytechnique de Louvain (EPL), Université Catholique de Louvain (UCL), Louvain-la-Neuve, Belgium
- 3 High Energy Nuclear Physics Group, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China
- 4 Department of Theoretical Physics and Mathematics, Université Libre de Bruxelles (U.L.B.), Campus Plaine, Brussels, Belgium
- 5 Physics Department, University of Craiova, Craiova, Romania
Journal of Modern Physics·Volume 07 (2016)·Pages 1429–1439·Published 2 August 2016·DOI10.4236/jmp.2016.712130
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Abstract
We derive the differential equation, which is satisfied by the ITER scalings for the dynamic energy confinement time. We show that this differential equation can also be obtained from the differential equation for the energy confinement time, derived from the energy balance equation, when the plasma is near the steady state. We find that the values of the scaling parameters are linked to the second derivative of the power loss, estimated at the steady state. As an example of an application, the solution of the differential equation for the energy confinement time is compared with the profile obtained by solving numerically the balance equations (closed by a transport model) for a concrete Tokamak-plasma.
KeywordsFusion ReactorsTheoryDesignand Computerized Simulation
- Kardaun, O.J.W.F. (2005) Classical Methods of Statistics: With Applications in Fusion-Oriented Plasma Physics. Springer Science & Business, Heidelberg.
- Tsunematsu, T. (1991) Fusion Engineering and Design, 15, 309. http://dx.doi.org/10.1016/0920-3796(92)90016-W
- Doyle, E.J., Houlberg, W.A., Kamada, Y., Mukhovatov, V., Osborne, T.H., Polevoi, A., Bateman, G., Connor, J.W., Cordey, J.G., Fujita, T., Garbet, X., Hahm, T.S., Horton, L.D., Hubbard, A.E., Imbeaux, F., Jenko, F., Kinsey, J.E., Kishimoto, Y., Li, J., Luce, T.C., Martin, Y., Ossipenko, M., Parail, V., Peeters, A., Rhodes, T.L., Rice, J.E., Roach, C.M., Rozhansky, V., Ryter, F., Saibene, G., Sartori, R., Sips, A.C.C., Snipes, J.A., Sugihara, M., Synakowski, E.J., Takenaga, H., Takizuka, T., Thomsen, K., Wade, M.R. and Wilson, H.R., ITPA Pedestal (2007) Nuclear Fusion, 47, S18.
- Wagner, F. (2009) The Physics Basis of ITER Confinement. 2nd ITER Int. Summer School (Kyushu University, Japan, 2009) (New York: AIP) AIP Conf. Proc., 31, 1095. http://dx.doi.org/10.1063/1.3097319
- ITER Physics Expert Groups on Confinement and Transport and Confinement Modelling and Database, ITER Physics Basis Editors and ITER EDA, Naka Joint Work Site, Mukouyama, Nakamachi, Nakagun, Ibaraki-Ken, Japan (1999) Nuclear Fusion, 39, 2137.
- Luce, T.C., Petty, C.C. and Cordey, J.G. (2008) Plasma Physics and Controlled Fusion, 50, 043001.
- Kadomtsev, B.B. (1975) Soviet Journal of Plasma Physics, 1, 295.
- Kritz, A.H., Kinsey, J., Onjun, T., Voitsekhovich, I., Bateman, G., Waltz, R. and Staebler, G. (2001) Burning Plasma Projections with Internal Transport Barriers. ITPA Meeting on Burning Plasma Transport, NIFS, Tokio, 10-12 September 2001, 964-974.
- Weiland, J. (2001) Predictive Simulations of ITER-FEAT Performance. 28th EPS Conference, Madeira, 18-22 June 2001, P2.039.
- Bateman, G., Kritz, A.H., Onjun, T. and Pankin, A. (2001) Private Communication, 7 Dec.
- Cordey, J.-G. (1997) Plasma Physics and Controlled Fusion, 39, B115. http://dx.doi.org/10.1088/0741-3335/39/12B/009
- Scaling Law, FusionWiki, jointly hosted by LNF and FuseNet. It is associated with two domains: fusionwiki.ciemat.es (http://fusionwiki.ciemat.es/wiki/Scaling_law) and wiki.fusenet.eu.
- Kardaun, O. (2002) Nuclear Fusion, 42, 841. http://dx.doi.org/10.1088/0029-5515/42/7/307