The two-dimensional (2D) separatrix shaping plays a crucial role in the confinement of the field-reversed configuration (FRC), and the magnetic coils serve as an effective means for its control. In this work we develop a weighted matching method to obtain an MHD equilibrium that accurately corresponds to the shape of target separatrix. By iteratively calculating the coil currents, the plasma current, and the equilibrium magnetic flux, the equilibrium separatrix progressively converges towards the desired shape. The coil currents are determined through a matching method, and the NIMEQ code is employed to compute the FRC equilibrium with a rigid rotor model of plasma distribution. This approach enables the adaption of the equilibrium separatrix into any desired shape, thus offering a potential scheme for the design and control of the 2D shaping of FRC plasma.
This paper presents a method to control the shape of the field-reversed configuration (FRC) plasma by adjusting the currents in magnetic coils. The approach involves iteratively calculating the coil currents, plasma current, and equilibrium magnetic flux to converge the plasma separatrix towards a desired shape. This enables the adaptation of the FRC plasma to any desired 2D shape, which is crucial for its confinement and control.