1. OPERATIONAL SCENARIO of KTM Dokuka V.N., Khayrutdinov R.R. TRINITI, Russia O u t l i n e Goal of the work The DINA code capabilities Formulation of the problem Examples of simulations Conclusions Future work

2. Equilibrium and transport modeling code DINA DINA is Free Boundary Resistive MHD and Transport-Modeling Plasma Simulation Code The following problems for plasma can be solved: Plasma position and shape control; Current ramp up and shut down simulations; Scenarios of heating, fuelling, burn and non- inductive current drive; Disruption and VDE simulations (time evolution, halo currents and run away electron effects); Plasma equilibrium reconstruction; Simulation of experiments in fitting mode using experimental magnetic and PF measurements Modeling of plasma initiation and dynamic null formation.

3. DINA code applications DINA code has been benchmarked with PET, ASTRA and TSC codes. Equilibrium part was verified to the EFIT code Control, shaping, equilibrium evolution have been validated against DIII-D, TCV and JT-60 experimental data Disruptions have been studied at DIII-D, JT- 60, Asdex-U and COMPASS-D devices Breakdown study at NSTX and plasma ramp-up at JT-60 and DIII-D Discharge simulations at FTU, GLOBUS and T11 tokamaks Selection of plasma parameters for ITER, IGNITOR, KTM and KSTAR projects Modeling of plasma shape and position control for MAST, TCV and DIII-D in frame of Simulink environment by using S-function DINA code version

4. I P = 0.75 MA P aux = 5 MW Vacuum creation, gas puff Toroidal magnetic field creation Plasma current initiation Auxiliary heating B t = 1 T Plasma current ramp-up Plasma current flat-top Plasma current shut-down Scheme of discharge scenario at KTM

5. Dina calculates plasma equilibrium with programmed PF currents Programmed parameters are plasma density, plasma current, auxiliary heating power To simulate plasma evolution one must use a controller. Today it is absent We had to apply DINA means for controlling plasma current by using CS current, and to control R-Z position by using PF3 and HFC currents respectively How to create PF programmed set: The initial PF data was obtained in the end of stage of plasma initiation At first the plasma configurations at the end of ramp up stage and for flat top are calculated Techniques used for creation PF scenario

6. Programmed inputs for DINA n(t) P(t) Ip(t) DINA PF(t)

7. Techniques used for creation PF scenario (continue) Having used such a programmed PF currents, we find out that plasma configuration becomes wrong from some moment. To stop simulation at this moment! To write required information for fulfilling the next step To calculate a static desired plasma configuration by taking into account information concerning plasma current profile and vacuum vessel filaments currents obtained at some previous moment A new PF currents should be included in PF programmed set To carry out simulation up to this moment. To repeat procedure of improving PF current data for achieving good agreement To continue simulation further

8. A set of initial snapshot calculations time= 9 ms time= 279 ms time= 499 ms time= 3999 ms

9. An initial set of programmed PF currents

10. Ramp –up (initial equilibrium) Plasma equilibrium during ramp-up

11. Equilibrium at the end of ramp-up Plasma equilibrium during ramp-up

12. Ramp –up (profiles) Plasma current density profiles Safety factor profiles Electron temperature profiles Bootstrap current profiles

13. Plasma parameters on the stage of ramp up Time3 ms280 ms Plasma current, Ip, kA50.0751.6 Poloidal beta,  p 0.540.14 Minor radius, a, cm20.144.9 Major radius, R, cm115.789.5 Vacuum vessel current I vv, kA50.131.2 Averaged electron density,  n e14  0.110.52 Elongation,  0.951.76 Averaged electron temperature,  T e , eV 160.267. Averaged ion temperature,  T i , eV 150.259. Safety factor q axis 1.290.99 Safety factor q bound 2.943.93 Normalized beta,  N 0.690.52 Confinement time,  E, ms 5.3137.50 Resistive loop voltage, U res, V1.341.48 Bootstrap current, I bs, kA4.0432.30 Ohmic heating, P , MW0.0661.109 Auxiliary heating, P ICRH, MW-- R-coordinate of X-point, cm137.5077.53 Z-coordinate of X-point,cm30.50-58.60

14. Plasma parameters on flat top Time280+ ms4500m s Plasma current, Ip, kA751.6752.2 Poloidal beta,  p 0.140.60 Minor radius, a, cm44.944.6 Major radius, R, cm89.589.9 Vacuum vessel current I vv, kA31.22.1 Averaged electron density,  n e14  0.520.53 Elongation,  1.76 Averaged electron temperature,  T e , eV 267.1221. Averaged ion temperature,  T i , eV 259.1006. Safety factor q axis 0.990.93 Safety factor q bound 3.933.99 Normalized beta,  N 0.522.32 Confinement time,  E, ms 37.5029.46 Resistive loop voltage, U res, V1.480.18 Bootstrap current, I bs, kA32.30207.14 Ohmic heating, P , MW1.1090.132 Auxiliary heating, P ICRH, MW5.0 R-coordinate of X-point, cm77.5373.26 Z-coordinate of X-point,cm-58.60-60.00

15. PF currents scenario (PF1-PF6, CS, HFC)

16. Flat-top (typical configuration) Plasma equilibrium during flat-top

17. Evolution of plasma parameters 1 1.Plasma current 2.Poloidal beta 3.Minor radius 4.Horizontal magnetic axis

18. Evolution of plasma parameters 4 1.Electron density in the plasma center 2.Global confinement time 3.Major plasma radius 4.Resistive loop voltage

19. Evolution of plasma parameters 5 1.Vertical position of magnetic axis 2.Bootstrap current 3.beta 4.Normalized beta

20. Evolution of plasma parameters 7 1.Total Volt-seconds 2.Plasma Volt-seconds 3.External Volt-seconds 4.Ion confinement time

21. Evolution of plasma parameters 8 1.Ion confinement time 2.Volt-seconds of PF (without CS) 3.Volt-seconds of CS 4.Ohmic heating power

22. Flat-top (profiles - 1) Plasma current density profiles Safety factor profiles Electron temperature profiles Bootstrap current profiles

23. Flat-top (profiles –2 ) Plasma current density profiles Safety factor profiles Electron temperature profiles Bootstrap current profiles

24. Volt-seconds balance

25. Future work Additional work on development of integrated plasma shape and position controllers is required Integration of 2D-breakdown and DINA codes to do “all” scenario simulation ( breakdown-shutdown) in one step is desirable A more accurate wave Altoke-e code, consistent with DINA, is planned to use for modeling ICRF heating

26. Simulink model for R-Z control of KTM

27. The results of simulation of R-Z control for KTM