Modelling and design of permanent magnet multipoles for beam transport and focusing. I. Selection of optimal design and parameters

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2021-01-01 DOI:10.21638/11701/spbu10.2021.401

V. Amoskov, V. Vasiliev, E. Gapionok, G. Gulbekyan, N. Edamenko, I. Ivanenko, N. Kazarinov, I. Kalagin, M. Kaparkova, V. Kukhtin, E. Lamzin, A. Makarov, A. Nezhentzev, D. Ovsyannikov, Dmitry A. (Jr.) Ovsyannikov, Nikolai F. Osipov, I. Rodin, Sergey E. Sytcheusky, Alexey A. Firsov

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Abstract

The design and specification choices are described for a PM quadrupole used to enable beam transport in a cyclotron. First an analytic study with a simplified 2D model is performed to give initial values for magnet configuration and performance. Characteristics of PM blocks and cylinders are analysed. Then a 3D parametrized model is used to solve the direct magnetostatic problem and accurately define quad specifications. Simulations are carried out with KOMPOT electromagnetic code utilizing the differential formulation. The regulariza- tion method is applied to solve the inverse problem. Magnetic characteristics, dimensions and shapes of the PM units and iron parts are determined in order to reach the specified field gradient. Possible correction of the resulting the ideal specification is discussed with respect to additional constraints put by practical implementation. Candidate PM materials are proposed. Simulated field maps are presented. The method described may serve as a basis for virtual prototyping and be integrated into end-to-end design and construction of magnet systems.

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用于光束传输和聚焦的永磁多极体的建模与设计。一、优化设计及参数的选择

描述了用于在回旋加速器中实现光束传输的PM四极杆的设计和规格选择。首先，用一个简化的二维模型进行了分析研究，给出了磁体结构和性能的初始值。分析了永磁缸体和气缸的特性。然后利用三维参数化模型求解直接静磁问题，精确定义四轴参数。利用微分公式用KOMPOT电磁码进行了仿真。应用正则化方法求解逆问题。确定PM单元和铁部件的磁特性、尺寸和形状，以达到规定的场梯度。讨论了根据实际实施所施加的附加约束对所得到的理想规范可能进行的修正。提出了候选PM材料。给出了模拟场图。所描述的方法可以作为虚拟样机的基础，并集成到磁体系统的端到端设计和构造中。

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.