Study of Resonance Helical Magnetic Field (RHF) Effect In IR-T1 Tokamak Plasma Using Hilbert-Huang Transform

Plasma Physics


  • H. Faridyousefi Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran,1477893855, Iran
  • M.K. Salem * Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • M. Ghoranneviss Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran



Structured Stainless Steel, Reduce Stress Shielding


In the IR-T1 Tokamak the effect of a resonance helical magnetic field (RHF) on plasma confienment are presented using Hilbert-Huang Transform method.Mirnov coil data analyzed by Hilbert-Huang Transform (HHT) and decomposed to the main intrinsic mode functions(imfs) and their instantanous frequencies (IFs). We find that, HHT method can extract MHD activities with different amplitudes in the different times. Then, the IFs of these modes can be calculated by Hilbert Transform (HT). As a comparison of WT and HHT analysis the Hilbert spectrum has much better frequency definition. Amplitude modulation of Mironov oscillations in IR-T1 tokamak plasma generate intra-wave frequency modulation, In the Hilbert spectrum analysis this effect is small compared to the STFT and WT spectrums. In our study, Magnetic islands with frequency around 40 kHz can be seen in wavlet Transform(WT) and HHT results in ohmic and RHF discharges. The HHT results after application of l=2/n=1 resonant field show that, the amplitude of m=2 poloidal MHD mode are amplified and then suppressed for a few milliseconds after amplification. Similarly, the amplitude of the m=3 MHD mode are amplified and then strongly suppressed by the start of the l=3/n=1 resonant field.


Download data is not yet available.


T. Hender et al., "Effect of resonant magnetic perturbations on COMPASS-C tokamak discharges," vol. 32, no. 12, p. 2091, 1992.

D. Roberts, J. De Villiers, J. Fletcher, J. O'Mahony, and A. J. N. f. Joel, "Major disruptions of low aspect ratio tokamak plasmas caused by thermal instability," vol. 26, no. 6, p. 785, 1986.

J. Adam et al., "Plasma physics and controlled nuclear fusion research," in Proc. 5th Int. Conf.(Tokyo, 1974), 1975, vol. 1, p. 65.

S. Elgriw, D. Liu, T. Asai, A. Hirose, and C. J. N. F. Xiao, "Control of magnetic islands in the STOR-M tokamak using resonant helical fields," vol. 51, no. 11, p. 113008, 2011.

D. Roberts, D. Sherwell, J. Fletcher, G. Nothnagel, and J. J. N. f. De Villiers, "Major disruptions induced by helical coils on the Tokoloshe tokamak," vol. 31, no. 2, p. 319, 1991.

P. Savrukhin, E. Lyadina, D. Martynov, D. Kislov, and V. J. N. f. Poznyak, "Coupling of internal m= 1 and m= 2 modes at density limit disruptions in the T-10 tokamak," vol. 34, no. 3, p. 317, 1994.

B. Waddell, B. Carreras, H. Hicks, J. Holmes, and D. J. P. R. L. Lee, "Mechanism for major disruptions in tokamaks," vol. 41, no. 20, p. 1386, 1978.

Q. Hu et al., "Effect of externally applied resonant magnetic perturbations on resistive tearing modes," vol. 52, no. 8, p. 083011, 2012.

M. Nave and J. J. N. F. Wesson, "Mode locking in tokamaks," vol. 30, no. 12, p. 2575, 1990.

J. Wesson and D. J. Campbell, Tokamaks. Oxford university press, 2011.

W. Jin et al., "Dependence of plasma responses to an externally applied perturbation field on MHD oscillation frequency on the J-TEXT tokamak," vol. 55, no. 3, p. 035010, 2013.

D. J. J. o. t. I. o. Gabor, "Electrical Engineers-Part III: Radio and Communication Engineering," vol. 93, no. 429, p. 39, 1946.

I. Daubechies, Ten lectures on wavelets. SIAM, 1992.

N. E. Huang et al., "The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis," vol. 454, no. 1971, pp. 903-995, 1998.

J. Terradas, R. Oliver, and J. J. T. A. J. Ballester, "Application of statistical techniques to the analysis of solar coronal oscillations," vol. 614, no. 1, p. 435, 2004.

J. Kurzyna et al., "Spectral analysis of Hall-effect thruster plasma oscillations based on the empirical mode decomposition," vol. 12, no. 12, p. 123506, 2005.

A. Kakurin and I. J. P. p. r. Orlovsky, "Empirical mode decomposition method for investigating the structure of large-scale MHD instabilities in a tokamak," vol. 30, no. 5, pp. 370-375, 2004.

A. Kakurin and I. J. P. p. r. Orlovsky, "Hilbert-Huang transform in MHD plasma diagnostics," vol. 31, no. 12, pp. 1054-1063, 2005.

R. Jha, D. Raju, and A. J. P. o. p. Sen, "Analysis of tokamak data using a novel Hilbert transform based technique," vol. 13, no. 8, p. 082507, 2006.

R. Coelho, D. Alves, and C. J. R. o. s. i. Silva, "Magnetohydrodynamic and turbulence activity analysis in the ISTTOK tokamak using empirical mode decomposition," vol. 77, no. 10, p. 10F512, 2006.

Y. Liu, Y. Tan, H. Xie, W. Wang, and Z. J. R. o. S. I. Gao, "Time-frequency analysis of non-stationary fusion plasma signals using an improved Hilbert-Huang transform," vol. 85, no. 7, p. 073502, 2014.

A. Storelli et al., "Comprehensive comparisons of geodesic acoustic mode characteristics and dynamics between Tore Supra experiments and gyrokinetic simulations," vol. 22, no. 6, p. 062508, 2015.

G. Huang, Y. Su, A. Kareem, and H. J. J. o. E. M. Liao, "Time-frequency analysis of nonstationary process based on multivariate empirical mode decomposition," vol. 142, no. 1, p. 04015065, 2016.

M. Ghoranneviss, A. Hogabri, and S. J. N. f. Kuhn, "MHD activity at low q (a) in Iran Tokamak 1 (IR-T1)," vol. 43, no. 3, p. 210, 2003.

M. Lafouti, M. Ghoranneviss, S. Meshkani, and A. S. J. J. o. P. P. Elahi, "Low MHD activity using resonant helical field and limiter biasing in IR-T1 tokamak," vol. 79, no. 5, pp. 765-770, 2013.



How to Cite

Faridyousefi, H. ., Salem *, M. ., & Ghoranneviss , M. (2021). Study of Resonance Helical Magnetic Field (RHF) Effect In IR-T1 Tokamak Plasma Using Hilbert-Huang Transform: Plasma Physics. Hyperscience International Journal, 1(1), 13–21.