AC Loss Analysis of the Central Solenoid Charge and Discharge
- 22 January 2024
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Applied Superconductivity
- Vol. 34 (3) , 1-7
Abstract
High temperature superconducting (HTS) magnets in Tokamak devices are used to build strong magnetic fields for increasing plasma density and power, making the confinement system more compact. However, rapid changes in currents and magnetic fields can also result in ac losses in magnets. For example, the charge and discharge of the central solenoid (CS) induces ac losses within the CS magnet and the surrounding TF magnets. Therefore, using finite element method (FEM) modelling, this paper first analysed the inductance, magnetic field, and ac losses in the CS. Then, by equivalently transforming the magnetomotive force (MMF) of the CS, the impact of CS charge and discharge on the TF limbs in the centre column was investigated. Particularly, over the CS fast discharge, the self-field loss in the CS was 0.24 MJ, mainly attributed to hysteresis loss, and the induced loss in each TF limb inside the centre column was 2.5 kJ/m. Three different algorithms were discussed to model the large-scale CS: the H formulation, H-Φ formulation, and T-A formulation. The H formulation and H-Φ formulation yielded converged electromagnetic characteristics, and H-Φ formulation reduced computation time significantly. However, the T-A formulation, ignoring the axial magnetic field inside conductors, was not applicable for calculating ac losses in vertically stacked tapes (VST) cable magnets. This modelling work from the Spherical Tokamak for Energy Production (STEP) programme provides essential reference for optimizing HTS magnet designs in commercial Tokamak endeavours.Keywords
This publication has 13 references indexed in Scilit:
- COMSOL Implementation of the H-$\phi$-Formulation With Thin Cuts for Modeling Superconductors With Transport CurrentsIEEE Transactions on Applied Superconductivity, 2021
- Non-twisted stacks of coated conductors for magnets: Analysis of inductance and AC lossesCryogenics, 2020
- Overview of H-Formulation: A Versatile Tool for Modeling Electromagnetics in High-Temperature Superconductor ApplicationsIEEE Access, 2020
- Review of the AC loss computation for HTS using H formulationSuperconductor Science and Technology, 2020
- Targeted Selection and Characterisation of Contemporary HTS Wires for Specific Applications2019
- Real-time simulation of large-scale HTS systems: multi-scale and homogeneous models using the T–A formulationSuperconductor Science and Technology, 2019
- Power dissipation in HTS coated conductor coils under the simultaneous action of AC and DC currents and fieldsSuperconductor Science and Technology, 2018
- An efficient 3D finite element method model based on the T–A formulation for superconducting coated conductorsSuperconductor Science and Technology, 2016
- AC Loss Analysis of Central Solenoid Model Coil for China Fusion Engineering Test ReactorIEEE Transactions on Applied Superconductivity, 2016
- Numerical modeling of HTS applicationsIEEE Transactions on Applied Superconductivity, 2016