Study of plasma equilibrium reconstruction on HL-2A

Yuan, B.S.; Ji, X.Q.; Li, Y.G.; Xu, Yuan; Zhou, Yan; Yu, Liming; Liang, S.Y.; Sun, Tengfei

doi:10.1016/j.fusengdes.2018.06.011

Cited by 15 publications

(14 citation statements)

References 18 publications

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“…Therefore, the gradient ∂E/∂p is obtained by solving ( 14) and ( 15) for all j (j = 1, 2, • • • , N p ). All the terms in ( 14) and ( 15) except ∂x ex /∂p j can be obtained from the solution of the original partial differential equation ( 10), ( 11) and its boundary condition (12). ∂x ex /∂p j is calculated as follows.…”

Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

“…Equation ( 17) is now the partial differential equation with respect to ∂ψ/∂p j being unknown variables, in which all the terms are obtained from the solution of ( 10), ( 11) and (12). Note that x ex is obtained by finding a point which satisfies (11) for the solution.…”

Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

“…Step2 Solve the partial differential equation ( 10), ( 11) and (12). Obtain m i by calculating (13).…”

Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

“…In this section, we describe how to solve the partial differential equation ( 10) with (11) and (12) in Step 2 for the target plasma and its sensitivity equations ( 17) and (15) in Step 3.…”

Section: B Methods For Solving the Target Equation And Its Sensitivity Equationsmentioning

confidence: 99%

“…This choice of parametrization of the unknown parts has the advantage that with the use of Picard iteration scheme [28] the solution to the GS equation can be expressed as a product of a vector whose components are the unknown parameters and a response matrix. The solution of the optimization problem for the equilibrium reconstruction can be obtained by solving a matrix equation, for example, by the use of the singular value decomposition (SVD) method, which reduces computational time drastically [10], [12]- [14], and equilibrium reconstruction has become used for real-time plasma control [11], [27]. More recently similar parametrization is widely used in equilibrium reconstruction for detailed studies of equilibrium and for real time control of the tokamak plasma [26].…”

Section: Related Workmentioning

confidence: 99%

See 4 more Smart Citations

A Data-Assimilation Based Method for Equilibrium Reconstruction of Magnetic Fusion Plasma and its Application to Reversed Field Pinch

et al. 2021

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Carbon-free energy sources are essential to avoid global warming, and nuclear fusion is expected to play a major role in achieving clean and sustainable energy. In the development of magnetic fusion, there exist a lot of issues related with plasma equilibrium to be studied extensively, typical representative of which is a problem of equilibrium reconstruction of plasma. In this paper we propose a new method of equilibrium reconstruction for fusion plasma based on the data assimilation. Aiming at dealing not only with axisymmetric toroidal plasmas but also with more general toroidal plasmas, we formulate the problems of equilibrium reconstruction in generalized forms and derive methods to solve them. We also propose a method for applying the equilibrium reconstruction method to the reversed field pinch (RFP), and it is applied to a real RFP experimental apparatus for its evaluation. It is shown through numerical experiments that the proposed equilibrium reconstruction method works well with reasonable accuracy. And it is also shown through real experiments applying the RFP apparatus that the equilibrium of RFP plasma is appropriately reconstructed.

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Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

“…Step2 Solve the partial differential equation ( 10), ( 11) and (12). Obtain m i by calculating (13).…”

Section: Proposed Methods a Methods Of Equilibrium Estimation Based On Data Assimilationmentioning

confidence: 99%

Section: B Methods For Solving the Target Equation And Its Sensitivity Equationsmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

See 3 more Smart Citations

A Data-Assimilation Based Method for Equilibrium Reconstruction of Magnetic Fusion Plasma and its Application to Reversed Field Pinch

et al. 2021

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Development of a passive visible spectroscopic diagnostic on HL-2A tokamak

Liu

Chen

et al. 2019

Fusion Engineering and Design

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Investigation of MHD instabilities and related dynamic interactions during the major disruption in the HL-2A tokamak

Jiang

et al. 2023

Physics of Plasmas

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Avoiding the major disruption is of paramount importance in future reactor-level devices, for which understanding the disruption mechanism is essential. In this work, MHD instabilities and related dynamic interactions during the major disruption have been investigated in the ohmically heated plasmas in the HL-2A tokamak. It is reported that the interaction between a kind of edge-oscillating-mode (EOM) perturbation and a rotating m/n = 2/1 tearing mode (TM) inside the plasma plays an important role in inducing the mode locking and the subsequent disruption. The EOM perturbation is oscillating in the laboratory frame, which is proposed to be originally generated by the penetrated error field at the plasma edge and is modulated by the rotating 2/1 TM mode. Before mode locking, the 2D electron cyclotron emission imaging shows that the momentary coupling of the EOM and the 2/1 mode can be decoupled each other and the mode structure does not alter significantly. After the mode locking, the EOM and the 2/1 mode expand and couple each other and induce the heat transfer from the core to the edge. The influence of the TM instability and the EOM perturbation on surrounding plasmas prior to the mode locking has also been presented. The results deepen our understanding of the disruption dynamics related to the external field perturbations, especially in the presence of TMs inside the plasma.

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Study of plasma equilibrium reconstruction on HL-2A

Cited by 15 publications

References 18 publications

A Data-Assimilation Based Method for Equilibrium Reconstruction of Magnetic Fusion Plasma and its Application to Reversed Field Pinch

A Data-Assimilation Based Method for Equilibrium Reconstruction of Magnetic Fusion Plasma and its Application to Reversed Field Pinch

Development of a passive visible spectroscopic diagnostic on HL-2A tokamak

Investigation of MHD instabilities and related dynamic interactions during the major disruption in the HL-2A tokamak

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