Numerical and Experimental Analysis of Modular-Toroidal-Coil Inductance Applicable to Tokamak Reactors

In this paper, equations for the calculation of the self- and mutual inductances of the modular toroidal coil (MTC) applicable to Tokamak reactors are presented. The MTC is composed of several solenoidal coils (SCs) connected in series and distributed in the toroidal and symmetrical forms. These equ...

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Bibliographic Details
Published in:IEEE transactions on plasma science 2010-02, Vol.38 (2), p.113-120
Main Authors: Pahlavani, M.R.A., Mohammadpour, H.A., Shoulaie, A.
Format: Article
Language:English
Subjects:
Algorithms
Biot-Savart's and Neumann's equations
Coils
Equations
Exact sciences and technology
extended three-point Gaussian algorithm
Gaussian
Inductance
Inductors
Magnetic confinement and equilibrium
Magnetic flux
Mathematical analysis
Mathematical models
modular toroidal coil (MTC)
Normal distribution
Numerical analysis
Numerical simulation
Optimization
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Reactors
self- and mutual inductances
Simulation
Superconducting coils
Superconducting magnetic energy storage
Tokamak devices
Tokamak reactors
Tokamaks
Toroidal magnetic fields
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Summary:In this paper, equations for the calculation of the self- and mutual inductances of the modular toroidal coil (MTC) applicable to Tokamak reactors are presented. The MTC is composed of several solenoidal coils (SCs) connected in series and distributed in the toroidal and symmetrical forms. These equations are based on Biot-Savart's and Neumann's equations, respectively. The numerical analysis of the integrations resulting from these equations is solved using the extended three-point Gaussian algorithm. Comparing the results obtained from the numerical simulation with the experimental and the empirical results confirms the presented equations. Furthermore, the comparison of the behavior of these inductances, when the geometrical parameters of the MTC are changed, with the experimental results shows an error of less than 0.5%. The behavior of the inductance of the coil indicates that the optimum structure of this coil, with the stored magnetic energy as the optimization function, is obtained when the SCs are located on the toroidal planes.
ISSN:0093-3813
1939-9375
DOI:10.1109/TPS.2009.2037628