Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas
In this paper, we consider a simplified dynamic model describing the evolution of the poloidal flux during the ramp-up phase of the tokamak discharge. We first use the Galerkin method to obtain a finite-dimensional model based on the original PDE system. Then, we apply the control parameterization m...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
International Federation of Automatic Control
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/32013 |
| _version_ | 1848753543862812672 |
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| author | Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Teo, Kok Lay Chu, J. |
| author2 | Edward Boje |
| author_facet | Edward Boje Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Teo, Kok Lay Chu, J. |
| author_sort | Ren, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a simplified dynamic model describing the evolution of the poloidal flux during the ramp-up phase of the tokamak discharge. We first use the Galerkin method to obtain a finite-dimensional model based on the original PDE system. Then, we apply the control parameterization method to obtain an approximate optimal parameter selection problem governed by a lumped parameter system. Computational optimization techniques are subsequently deployed to solve this approximate problem. To validate our approach, we perform numerical simulations using experimental data from the DIII-D tokamak in San Diego,California. The results show that our numerical optimization procedure can generate optimal controls that drive the current profile to within close proximity of the desired profile at the terminal time, thus demonstrating that the Galerkin and control parameterization methods are effective tools for current profile control in tokamak plasmas. |
| first_indexed | 2025-11-14T08:26:12Z |
| format | Conference Paper |
| id | curtin-20.500.11937-32013 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:26:12Z |
| publishDate | 2014 |
| publisher | International Federation of Automatic Control |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-320132017-01-30T13:28:40Z Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Teo, Kok Lay Chu, J. Edward Boje Galerkin Method Control Parameterization Nuclear Fusion Current Profile Control Sequential Quadratic Programming (SQP) In this paper, we consider a simplified dynamic model describing the evolution of the poloidal flux during the ramp-up phase of the tokamak discharge. We first use the Galerkin method to obtain a finite-dimensional model based on the original PDE system. Then, we apply the control parameterization method to obtain an approximate optimal parameter selection problem governed by a lumped parameter system. Computational optimization techniques are subsequently deployed to solve this approximate problem. To validate our approach, we perform numerical simulations using experimental data from the DIII-D tokamak in San Diego,California. The results show that our numerical optimization procedure can generate optimal controls that drive the current profile to within close proximity of the desired profile at the terminal time, thus demonstrating that the Galerkin and control parameterization methods are effective tools for current profile control in tokamak plasmas. 2014 Conference Paper http://hdl.handle.net/20.500.11937/32013 International Federation of Automatic Control fulltext |
| spellingShingle | Galerkin Method Control Parameterization Nuclear Fusion Current Profile Control Sequential Quadratic Programming (SQP) Ren, Z. Xu, C. Lin, Qun Loxton, Ryan Teo, Kok Lay Chu, J. Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title | Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title_full | Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title_fullStr | Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title_full_unstemmed | Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title_short | Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas |
| title_sort | finite element approximation and input parameterization for the optimal control of current profiles in tokamak plasmas |
| topic | Galerkin Method Control Parameterization Nuclear Fusion Current Profile Control Sequential Quadratic Programming (SQP) |
| url | http://hdl.handle.net/20.500.11937/32013 |