External inductance of large to ultralow aspect-ratio tokamak plasmas

Ludwig, G. O.; Andrade, M.C.R.

doi:10.1063/1.872900

Cited by 13 publications

(16 citation statements)

References 8 publications

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“…In addition, the eddy current distribution is being used to model the vacuum vessel effects in plasma discharge simulations during the early phase. In these zerodimensional simulations the external inductance of the low aspect ratio ETE plasma and the mutual inductance coefficients between the plasma, the vacuum vessel and the external poloidal field coils are calculated in accordance with a previous work [3].…”

Section: Solution Of the Circuit Model And Resultsmentioning

confidence: 80%

Calculation of Eddy Currents in the ETE Spherical Torus

Ludwig

2003

AIP Conference Proceedings

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Abstract. The currents induced during startup in the vacuum vessel of the ETE spherical torus (Experimento Tokamak Esférico) are evaluated using a circuit model based on the Green's function method. The distribution of eddy currents is calculated using a thin shell approximation for the vessel and local curvilinear coordinates. The predicted results agree quite well with values of the eddy currents measured in ETE.

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Section: Solution Of the Circuit Model And Resultsmentioning

confidence: 80%

Calculation of Eddy Currents in the ETE Spherical Torus

Ludwig

2003

AIP Conference Proceedings

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“…The skin effect reduces the magnetic field inside the conductor, since it is confined in a smaller volume as the frequency increases, therefore decreasing the internal inductance of the conductor [22]. At very high frequency operation the total conductor's inductance is therefore almost equal to the external inductance [24].…”

Section: Partial Self-inductance Of An Isolated Rectilinear Conductormentioning

confidence: 99%

Analysis of formulas to calculate the AC inductance of different configurations of nonmagnetic circular conductors

Capelli

Riba

2016

Electr Eng

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The inductance of single-and multi-conductors intended for electronic devices, power transmission and distribution or grounding, lightning and bonding systems greatly depends on the specific geometry and the supply frequency. It is also influenced by skin and proximity effects. The inductance is an important design parameter, since it significantly influences the voltage drop in the conductor, thus raising reactive power consumption and limiting the conductors' current-carrying capacity. Although there exist some internationally accepted approximated and exact formulas to calculate the AC inductance of conductors in free air, its accuracy and applicability has been seldom analyzed in detail in the technical literature, which is done in this paper. Since such formulas can be used for a wide diversity of conductors' configurations and under different operating conditions, it is highly desirable to evaluate their applicability. This evaluation is carried out by comparing the results provided by the formulas with data provided by finite element method (FEM) simulation. The results provided in this paper prove that FEM results can be easily applied to a wide diversity of conductors' configurations and frequencies, thus being more general and often more accurate than the results provided by the formulas.

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“…The boundary flux component supplied by the plasma internal current distribution is parameterized using the external inductance e L [55], [56] …”

Section: Skin Effect Transformer Modelmentioning

confidence: 99%

Sliding mode control of a tokamak transformer

Romero¹,

Coda

Felici

et al. 2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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A novel inductive control system for a tokamak transformer is described. The system uses the flux change provided by the transformer primary coil to control either the electric current or the internal inductance of the transformer's secondary plasma circuit load. The internal inductance control is used to regulate the slow flux penetration due to the skin effect, providing first-order control over the shape of the plasma current density profile in the highly conductive plasma. Inferred loop voltages at specific locations inside the plasma are included in a state feedback structure to improve controller performance. Experimental tests have shown that the plasma internal inductance can be controlled inductively for a whole pulse starting just 30ms after the beginning of plasma breakdown. The details of the control system design are presented, including the transformer model, observer algorithms and controller design.

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External inductance of large to ultralow aspect-ratio tokamak plasmas

Cited by 13 publications

References 8 publications

Calculation of Eddy Currents in the ETE Spherical Torus

Calculation of Eddy Currents in the ETE Spherical Torus

Analysis of formulas to calculate the AC inductance of different configurations of nonmagnetic circular conductors

Sliding mode control of a tokamak transformer

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