- Effect of Stochastic Field and Resonant Magnetic Perturbation on Global MHD Fluctuation -

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1 15TH WORKSHOP ON MHD STABILITY CONTROL: "US-Japan Workshop on 3D Magnetic Field Effects in MHD Control" U. Wisconsin, Madison, Nov 15-17, 17, 2010 LHD experiments relevant to Tokamak MHD control - Effect of Stochastic Field and Resonant Magnetic Perturbation on Global MHD Fluctuation - K.Y.Watanabe, NIFS(Japan) behalf on high beta-mhd group in LHD experiment LHD (Large Helical Device) NIFS, Japan ax β=0% 1% β~(1-ρ 2 ) 2% rotational transform Minor Radius ρ

2 Structure and plasma achievement of LHD Continuous helical coils of l=2/m=10 field period All superconducting coil system Plasma major radius ~3.7 m Plasma minor radius ~0.6 m Plasma volume ~30 m 3 Toroidal field strength 3 T Divertor Line Helical Coil Ergodic Layer Magnetic Surface High beta <β> = 5.1 % at B = T High density n e (0) = m -3 at B = 2.5 T High ion temperature T i = 5.6 kev at n e = m -3 accompanied by impurity hole Long pulse : 0.6 MW for 1 hour n τ E T = m -3 s kev 2

3 Introduction Recently MHD stabilities in tokamaks related with RMP, stochastic fields and the islands are strongly concerned. RWM control; Interaction between MHD instability and Resonant Magnetic Perturbations ELM control; Suppression/Mitigation of ELM activities due stochasitization of edge magnetic fields NTM; Island dynamics through interaction among seed island, NC current, flow and so on. Mag. Perturb., Stochastic region of Mag. Field and Islands are induced even in Vac. Config. in Stell./Heliotrons => Responses of MHD instabilities on them are observed. Today's talk 3

4 Outline 0. Characteristics of MHD insta. in LHD 1. Effect of Mag. Perturb. Field on Global MHD Fluc (1) Resonant MP (2) Non-resonant MP 2. Effect of Stochastic on Global MHD Fluc 3. Discussion 4

5 Characteristics of MHD instability in LHD Amp. mag. fluc. low-mn Low Shear High Shear m/n=1/1 Mag.Hill Well Volume ave. tor. β upto 5% Mag, Reynolds # 10 6 ~10 9 Whole region; Hill # Mag. fluc. of global MHD insta. resonated with peripheral low-oder rational surf. are observed in high β regime. 5

6 Characteristics of m/n=1/1 mode structure # 92000, R axv 3.75m, 0.9T 1.8s Radial profile of SXR fluctuation amplitude t=1.8s rotation freq. (khz) (khz) Coh. in mag. fluc. m/n 3/3 2/2 1/1 Lineintegrated f~1.8khz Sight lines of SX No phase inversion (No mag. island structure?) => Similar structure to linear theory prediction of resistive interchange MHD instability 6

7 Effect of Magnetic Perturbation on Global MHD Fluctuation 1. Resonant MP 2. Non-resonant MP ref. S.Sakaibara et al, 33rd EPS, Rome, Italy, (2006), F.Watanabe et al, Nucl. Fusion (2008) 7

8 Magnetic Perturbation by LID coils in LHD Vacuum Ergodic region Coil systems in LHD LID coils I LID /B t =1.11[kA/T] Helical coils r w is w is /r ~ 20% m/n=1/1 static island Poloidal coils 10 pairs LID (for Local Island Divertor config.) coils produce m/n=1/1 RMP. m/n=1/1 MP of I LID /B 0 ~1kA/T => w is /r ~ 20% island in vac. 8

9 Suppression of m/n = 1/1 mode by resonant mag.. field 3 2 R ax = 3.6 m, B t = 2.75 T, A p =5.7, NBI, <β> ~ 1%, D I < 0.2, D R >0, S ~ 10 7 T e (kev) ι=1 180A/T 220A/T 330A/T ι~1 1 0 R (m) At I LID =220 A/T (W/a p ~0.20), Fluc. disappears despite finite grad.t e remains near ι=1 surf. Amp. of Fluc. decreases with reduction of the gradient. Then the mode frequency slowed down. ref. S.Sakaibara et al, 33rd EPS Conference on Plasma Physics, Rome, Italy, (2006), 9

10 Radial Profiles of MHD Modes with Low Mag. Perturb. (I LID /B t =0.57kA/T) (a) Vertically elongated section (6.5-U port section) (b) Vertically elongated section (3.5-U port section) (a) (b) (c) m/n=2/3 m/n=2/3 (c) B t > 0 Horizontally elongated section (4-O port section) Low MP (0.57kA/T) Mode has Interchange like structure. m/n=1/1 static island isn t Clear n Te prof. 10 ref F.WATANABE NF (2008)

11 Radial Profiles of MHD Modes with Large Mag. Perturb. (I LID /B t =1.13kA/T) (a) Vertically elongated section (6.5-U port section) m/n=2/3 (b) Vertically elongated section (3.5-U port section) m/n=2/3 (a) (b) (c) m/n=1/1 island center m/n=1/1 island center B t > 0 (c) Horizontally elongated section (4-O port section) m/n=3/4 m/n=3/4 m/n=1/1 island center ref F.WATANABE NF (2008) SX fluc in inboard side; decreased. in outboard; strongly enhanced. Ballooning-like Character 11

12 Global MHD Fluctuation behavior in Stochastic Region surrounding Nested Flux Surfaces ref. K.Y.Watanabe, Annual meeting in Jpn Soc. Plasma & Fusion (2006) K.Y.Watanabe, Plasma Phys. Contr. Fusion (2007) Y.Suzuki, Plasma Fusion Res. (2009) 12

13 Buck ground; Extension of Stochastic region Pred. by HINT2 According to HINT calc., Stochastic region extends with β in LHD configurations HINT code; Full 3D MHD equilibrium analysis code in real coordinates => can treat Islands/Stochastic fields 13

14 Reconstructed MHD equil.. and Mag.. surf. in high β using HINT 2*n e-fir *T e-ts (Normalized) Well defined last closed mag. surf. in vac. -TS p HINT Mag. surf. predicted by HINT #46465(1.625s), R axv =3.6m/0.5T, < <β dia >~3%, HINT calc. boundary In Region; Stochastic mag. surf is expected by HINT, Finite p e and T e are observed 14

15 Observ.. of Coherent MHD fluc.. in Stochastic Region Rotational transform Shot#46465, <β> ~ 3 % <β dia > I p P rad, n e Hα Mag. Fluc R (m) Frequency (khz) m/n = 2/3 m/n = 3/4 m/n = 1/1 Coherence of mag. fluc. In Region; Stochastic mag. surf is expected by HINT, Resonated Coherent fluc. are observed 15

16 Brief Summary # Effect of Mag. Perturb. (MP) on global MHD instabilities 1. Global MHD instability are suppressed by resonant MP before T e is flattened. 2. Interchange like instability is observed in small non-resonant MP and w/o MP. On the contrary, ballooning like global MHD instability appears in large non-resonant MP. # Observation of coherent global MHD fluctuation in stochastic region in finite β plasmas predicted by HINT. 16

17 Discussion Simulation of Interaction between MHD instabilities and Island/Stochastic field should be accelerated. Accompany with the following experimental study; (1) Accurate estimation of perturbed mag.. Field in plasmas Sometimes RMP looks shielded by plasmas. (2) Confirmation of stochasticity In actual plasmas, is mag.. field stochastic? 17

18 Discussion (Cont.) (1) Sometimes RMP looks shielded by plasmas. Island does NOT appear as RMP simply superposed in vac.. fields (Heals/Enhased Enhased) => => How does plasma shield RMP? Accurate estimation of perturbed Mag.. Field in plasmas is important ref. Y.Narushima,, Nuclear Fusion (2008) S.Sakakibara,, 15th ICPP (Santiago de Chili, 2010) Y.Narushima,, 23rd IAEA Conf. (Daejon( Daejon,, 2010) EX/5-2 18

19 Island does NOT appear as RMP simply superposed in vac. (Heals/Enhansed) Top view of LHD 5 Flux loops measure Phase to enhance RMP Phase to cancel RMP Response of Perturb. Field from Plasmas Response depending on β and ν* Where perturb. current flows inside/outside/on resonant surf? 19

20 Example of Dynamical response of Static island by MP of ex. coils Time trace of RMP from Coil Response of RMP from Plasma Detail time response is under investigation Time (s) Enlarged Enlarged heal 20

21 Discussion (Cont.) (2) In actual plasmas, mag.. field is NOT stochastic. => Confirmation of stochasticity is important In LHD, Response of transient electron thermal transport response by Power modulation of ECH => Identify mag.. island and stochastic structure of mag.. field ref. K.Ida,, 23rd IAEA Conf. (Daejon( Daejon,, 2010) EX/5-2 21

22 Modulation ECH modulation ECH is applied to study the heat pulse propagation in the Te flat region The modulation power (A 2 ) drops at r/a ~ 0 Increases at r/a ~ 0.5 Flattening of modulation power suggests that heat pulse propagates radially faster than the transport time scale determined by thermal diffusivity χe. 22

23 Identification of stochastization of magnetic fields Switch of NBI from co. to ctr. increases the central rotational transform decreases magnetic shear (ρ/ι)dι/dρ magnetic shear at ι=0.5 - gradt e time (s) -dt e /dr (kev/m) 3 ι / = 0.5 ι / = 0.5 ι / = 0.5 T e (kev) 2 1 no island stochastic region magnetic island Delay time (ms) no island Heat pulse propagation by modulated ECH stochastic region magnetic island r eff (m) r eff (m) r eff (m) K.Ida, 23rd IAEA (2010) EX/2-5

24 Discussion (Final page) Future subjects in LHD exp. # Accurate estimation of perturbed mag.. Field in plasmas => Dynamical response of Static island Response of Heavy Ion Beam trajectory on Perturbed Field induced by external MP coils # Confirmation of Pred.. Stochastic region By Modulation of ECH (analysis trough transport response) Welcome to your proposal!! 24 Welcome to your proposal!!

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