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<p>In this paper, we propose a geometric shape optimization (GSO) method for designing electromagnetic structures. In our works, we are interested in the design of plasma thruster (PT) which are ion thrusters and are used in many space operations boarding in satellites. Many researches show that the performance and efficiency of these devices depend strongly on the topology and the shape of their electromagnetic circuits. Thus, for a requested performance a specific spatial distribution of the electromagnetic field is imposed in some points of the engine and the purpose is to find an electromagnetic circuit capable to produce this target field. As a consequence, these problems fall within the framework of inverse problems. In general, these inverse design problems are ill-posed. Our approach consisted of formulating them as GSO problems with the boundary variation approach (BVA). In this paper, the shape derivative is computed by an adjoint variable method (AVM) which makes it possible to apply gradient-based algorithms (which are most efficient in general). We have written a GSO source code using the finite element software FreeFem++ to solve such a design problem. Some numerical simulations of the design process of a PT magnetic circuit are performed to illustrate our approach.</p>

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Geometric shape optimization of plasma thruster by solving an inverse problem

  • 期刊论文

  • 发表日期：

    2025年2月10日

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  • Satafa Sanogo,
  • Bernard Lamien,
  • Inoussa Tougri

摘要

In this paper, we propose a geometric shape optimization (GSO) method for designing electromagnetic structures. In our works, we are interested in the design of plasma thruster (PT) which are ion thrusters and are used in many space operations boarding in satellites. Many researches show that the performance and efficiency of these devices depend strongly on the topology and the shape of their electromagnetic circuits. Thus, for a requested performance a specific spatial distribution of the electromagnetic field is imposed in some points of the engine and the purpose is to find an electromagnetic circuit capable to produce this target field. As a consequence, these problems fall within the framework of inverse problems. In general, these inverse design problems are ill-posed. Our approach consisted of formulating them as GSO problems with the boundary variation approach (BVA). In this paper, the shape derivative is computed by an adjoint variable method (AVM) which makes it possible to apply gradient-based algorithms (which are most efficient in general). We have written a GSO source code using the finite element software FreeFem++ to solve such a design problem. Some numerical simulations of the design process of a PT magnetic circuit are performed to illustrate our approach.