Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T06:13:26.942Z Has data issue: false hasContentIssue false

Stochastic modeling of plasma mode forecasting in tokamak

Published online by Cambridge University Press:  11 November 2011

SH. SAADAT
Affiliation:
Faculty of Science, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran ([email protected])
M. SALEM
Affiliation:
Plasma Physics Research Center, Tehran Science & Research Branch, Islamic Azad University, P.O. Box 14665-678, Tehran, Iran
M. GHORANNEVISS
Affiliation:
Plasma Physics Research Center, Tehran Science & Research Branch, Islamic Azad University, P.O. Box 14665-678, Tehran, Iran
P. KHORSHID
Affiliation:
Group Physics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

The structure of magnetohydrodynamic (MHD) modes has always been an interesting study in tokamaks. The mode number of tokamak plasma is the most important parameter, which plays a vital role in MHD instabilities. If it could be predicted, then the time of exerting external fields, such as feedback fields and Resonance Helical Field, could be obtained. Autoregressive Integrated Moving Average (ARIMA) and Seasonal Autoregressive Integrated Moving Average are useful models to predict stochastic processes. In this paper, we suggest using ARIMA model to forecast mode number. The ARIMA model shows correct mode number (m = 4) about 0.5 ms in IR-T1 tokamak and equations of Mirnov coil fluctuations are obtained. It is found that the recursive estimates of the ARIMA model parameters change as the plasma mode changes. A discriminator function has been proposed to determine plasma mode based on the recursive estimates of model parameters.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]de Blank, H. J. 2008 Trans. Fusion Sci. Tech. 53, 122.Google Scholar
[2]Kim, J. S., Edgel, D. H., Greene, J. M., Strait, E. J. and Chance, M. S. 1999 Plasma Phys. Control. Fusion 41 1399.Google Scholar
[3]Tan, I. H., Caldas, I. L., Nascimento, I. C., Da silva, R. P., Sanada, E. K. and Braha, R. 1986 IEEE Trans. Plasma Science PS-14 3 279.Google Scholar
[4]Harley, T. R., Buchenauer, D. A., Coonrod, J. W. and McGuire, K. M. 1989 Nucl. Fusion 29 (5), 771.Google Scholar
[5]Nardonet, C. 1992 Plasma Phys. Control. Fusion 34, 122.Google Scholar
[6]Kluber, O., Zohm, H., Brunhns, H., Gernhardt, J., Zeehrfeld, H. P. 1991 Nucl. Fusion 31, 907.Google Scholar
[7]Lister, J. B. and Schnurrenberger, H. 1991 Nucl. Fusion 31, 1291.CrossRefGoogle Scholar
[8]Coccorese, E., Morabito, C. and Martone, R. 1994 Nucl. Fusion 34, 1349.Google Scholar
[9]Albanese, R. et al. 1996 Fusion Techno. 30, 219.Google Scholar
[10]Box, G. E. P., Jenkins, G. M. and Reincel, G. C. 2008 Time Series Analysis: Forecasting and Control. San Francisco, CA: Wiley.Google Scholar
[11]Jenkins, G. M. and Watts, D. G. 1968 Spectral Analysis. San Francisco, CA: Holden Day.Google Scholar
[12]Shumaway, R. H. and Stoffer, D. S. 2006 Time Series Analysis and Its Applications. New York: Springer.Google Scholar
[13]Wei, William W. S. 2006 Time Series Analysis: Univariate and Multivariate Methods. Boston, MA: Pearson Addison-Wesley.Google Scholar
[14]Saadat, S., Salem, M. K., Ghoranneviss, M., Khorshid, P. 2011 J. Fusion. Energy. 3 (1), 100104.Google Scholar
[15]Zhang, Y. M., Ma, Y. 2001 Meas. Sci. Tech. 12, 1964.Google Scholar
[16]Ziemer, R. E., Tranter, W. H. and Fannin, D. R. 1998 Signals and Systems: Continuous and Discrete. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
[17]Mandal, M. and Asif, A. 2007 Continuous and Discrete Time Signals and Systems. Cambridge, UK: Cambridge University Press.Google Scholar