Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation
Fusion nuclear reactions, in which multiple atomic nuclei collide to form a single atomic nucleus, can only occur at extremely high temperatures, where all matter is in the plasma state. In the majority of today’s experimental fusion reactors, the fusion plasma is confined to a torus shape using a m...
| Main Authors: | , , , |
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| Format: | Conference Paper |
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IEEE
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/19945 |
| _version_ | 1848750172632252416 |
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| author | Ren, Z. Xu, C. Lin, Qun Loxton, Ryan |
| author_facet | Ren, Z. Xu, C. Lin, Qun Loxton, Ryan |
| author_sort | Ren, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Fusion nuclear reactions, in which multiple atomic nuclei collide to form a single atomic nucleus, can only occur at extremely high temperatures, where all matter is in the plasma state. In the majority of today’s experimental fusion reactors, the fusion plasma is confined to a torus shape using a magnetic confinement system called a tokamak. The performance of a tokamak depends crucially on the current spatial profile, which is related to the poloidal magnetic flux. Accordingly, in this paper, we investigate a finite-time optimal control problem in which the aim is to drive the current spatial profile to within close proximity of a desired target profile, subject to a parabolic PDE governing the evolution of the poloidal magnetic flux. To solve this optimal control problem, we first use the finite element method to approximate the PDE model by an ODE model. Then, we apply the control parameterization and time-scaling techniques to obtain an approximate finite-dimensional optimization problem, which can be solved using sequential quadratic programming methods. Simulation results using experimental data from the DIII-D tokamak in San Diego, California demonstrate the effectiveness of the proposed approach. |
| first_indexed | 2025-11-14T07:32:37Z |
| format | Conference Paper |
| id | curtin-20.500.11937-19945 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:32:37Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-199452017-09-13T13:49:38Z Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Fusion nuclear reactions, in which multiple atomic nuclei collide to form a single atomic nucleus, can only occur at extremely high temperatures, where all matter is in the plasma state. In the majority of today’s experimental fusion reactors, the fusion plasma is confined to a torus shape using a magnetic confinement system called a tokamak. The performance of a tokamak depends crucially on the current spatial profile, which is related to the poloidal magnetic flux. Accordingly, in this paper, we investigate a finite-time optimal control problem in which the aim is to drive the current spatial profile to within close proximity of a desired target profile, subject to a parabolic PDE governing the evolution of the poloidal magnetic flux. To solve this optimal control problem, we first use the finite element method to approximate the PDE model by an ODE model. Then, we apply the control parameterization and time-scaling techniques to obtain an approximate finite-dimensional optimization problem, which can be solved using sequential quadratic programming methods. Simulation results using experimental data from the DIII-D tokamak in San Diego, California demonstrate the effectiveness of the proposed approach. 2015 Conference Paper http://hdl.handle.net/20.500.11937/19945 10.1109/ChiCC.2015.7260014 IEEE fulltext |
| spellingShingle | Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title | Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title_full | Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title_fullStr | Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title_full_unstemmed | Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title_short | Dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| title_sort | dynamic optimization of tokamak plasmas via control parameterization and the time-scaling transformation |
| url | http://hdl.handle.net/20.500.11937/19945 |