Reduced model of plasma discharge control in tokamak with iron core
( Pp. 11-22)

More about authors
Andreev Valery F. doktor fiziko-matematicheskih nauk; fakultet vychislitelnoy matematiki i kibernetiki
Lomonosov Moscow State University Popov Alexander M. doktor fiziko-matematicheskih nauk, professor; fakultet vychislitelnoy matematiki i kibernetiki
Lomonosov Moscow State University
Abstract:
A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.
How to Cite:
Andreev V.F., Popov A.M., (2020), REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE. Computational Nanotechnology, 3 => 11-22.
Reference list:
Andreev V.F., Popov A.M. Obratnye zadachi upravleniya plazmennym razryadom v tokamake s zheleznym serdechnikom // Computational nanotechnology. 2020. T. 7. № 2. S. 11-20. DOI: 10.33693/2313-223X-2020-7-2-11-20
Blum J., Cissoko G., Dei Cas R. Development of MAKKOKOT code // Plasma Phys. and Contr. Nucl. Fusion Res. IAEA. Vienna. 1979. Vol. 1. Pp. 521-534/
Mukhovatov V.S., SHafranov V.D. Ravnovesie plazmy v tokamake // YAdernyy sintez. 1971. T. 11. S. 705-748.
SHafranov V.D. Ravnovesie plazmy v magnitnom pole. V kn.: Voprosy teorii plazmy / pod red. M.A. Leontovicha. M.: Gosatomizdat, 1963.Vyp. 2. S. 92-131.
Zakharov L.E., SHafranov V.D. Ravnovesie plazmy s tokom v toroidal nykh sistemakh. V sb.: Voprosy teorii plazmy / pod red. M.A. Leontovicha, B.B. Kadomtseva. M.: Energoizdat, 1982. Vyp. 11. S. 118-235.
Andreev V.F., TSaun S.V. Algoritmy rascheta induktivnostey sistemy upravlyayushchikh provodnikov v tokamake. V sb.: Vychislitel naya matematika i matematicheskoe obespechenie EVM / pod red. akad. A.N. Tikhonova, akad. A.A. Samarskogo. M.: Izd-vo MGU, 1985. C. 122-130.
Andreev V.F., Dnestrovskiy YU.N., Kostomarov D.P. i dr. Matematicheskie modeli ravnovesiya plazmy v tokamake s zheleznym serdechnikom // Fizika plazmy. 1986. T. 12. № 4. C. 387-396.
Dnestrovskiy YU.N., Kostomarov D.P. V kn.: Vychislitel nye metody v fizike plazmy. M.: Mir, 1974. C. 483-506.
Tikhonov A.N., Arsenin V.YA. Metody resheniya nekorrektnykh zadach. M.: Nauka, 1979. 288 s.
Andreev V.F., Dnestrovskiy YU.N., Kostomarov D.P., Popov A.M. Modeli upravleniya razryadom v tokamake s zheleznym serdechnikom // VANT. Seriya: Termoyadernyy sintez. M., 1988. Byp. 7. C. 36-41.
Pontryagin L.S., Boltyanskiy V.G., Gamkrelidze R.V., Mishchenko E.F. Matematicheskaya teoriya optimal nykh protsessov. M.: Nauka, 1976. 392 s.
Moiseev N.N. Elementy teorii optimal nykh sistem. M.: Nauka, 1975.
CHernous ko F.L., Banichuk N.V. Variatsionnye zadachi mekhaniki i upravleniya. M.: Nauka, 1973. 238 c.
Keywords:
reduced model, iron core, tokamak, discharge scenario, program regime, inverse problem, optimal control problem.


Related Articles

Plasma, high-frequency, microwave and laser technology Pages: 11-20 DOI: 10.33693/2313-223X-2020-7-4-11-20 Issue №17956
Mathematical model of the adaptable discharge control system in a tokamak with an iron core
adaptation of the program regime iron core tokamak inverse problem optimal control problem
Show more
Plasma, high-frequency, microwave and laser technology Pages: 11-20 DOI: 10.33693/2313-223X-2020-7-2-11-20 Issue №16932
Inverse problems of plasma discharge control in a tokamak with iron core
iron core discharge scenario program regime inverse problem
Show more
CALCULATING MATHEMATICS Pages: 16-20 Issue №11955
OPTIMIZATION OF THE ELECTROMAGNETIC DIAGNOSTICS SYSTEM IN THE TOKAMAK INSTALLATION
mathematical modeling tokamak electromagnetic diagnostics
Show more
SCIENTIFIC SCHOOL OF PROFESSOR POPOV A.M. Pages: 30-35 Issue №9675
A SEMI-EPIRICAL CRITERION ON COIL CURRENT REQUIREMENT TO CONTROL EDGE LOCALIZED MODES IN TOKAMAK PLASMAS
fusion tokamak ELM control resonant magnetic perturbation plasma response
Show more
DIAGNOSTICS OF THERMONUCLEAR PLASMA Pages: 31-57 Issue №11955
THE EVOLUTION OF THE MATHEMATICAL AND TECHNICAL ASPECTS OF HEAVY ION BEAM PROBE PLASMA DIAGNOSTICS
plasma magnetic confinement tokamak stellarator the sounding of the plasma by heavy ion beam
Show more
DIAGNOSTICS OF THERMONUCLEAR PLASMA Pages: 58-61 Issue №11955
CORRECTION OF TOROIDAL DISPLACEMENT OF DIAGNOSTIC HEAVY ION BEAM
plasma magnetic confinement tokamak stellarator the sounding of the plasma by heavy ion beam
Show more
DIAGNOSTICS OF THERMONUCLEAR PLASMA Pages: 62-70 Issue №11955
THE STUDY OF THE ELECTRIC POTENTIAL OF MAGNETICALLY CONFINED FUSION PLASMAS
plasma magnetic confinement tokamak stellarator the sounding of the plasma by heavy ion beam
Show more
PHYSICS OF THERMONUCLEAR PLASMA Pages: 108-113 Issue №11955
GEODESIC ACOUSTIC MODES IN THE TOKAMAKS
plasma magnetic confinement tokamak geodesic acoustic mode DIN
Show more