Abstract

The article shows that in a magnetic system with a thin-walled balanced winding close to a force-free one, a significant increase in the parameter θ = W_Mγ/Mσ_M, is possible, which, according to the virial theorem, characterizes the ratio of the energy of the magnetic system W_M to the weight of equipment with a material density γ, where under the action of electromagnetic forces there appears a mechanical stress σ_M. In a quasi-force- free magnetic system, the main part of the winding is in a state of local equilibrium, and only a relatively small part of the equipment is subject to stress. This part determines the weight of the entire system, and this weight can be minimized. The configurations of balanced thin-walled windings are developed, at the boundaries two boundary conditions are fulfilled simultaneously—the absence of the induction component normal to the boundary and the constancy of the product of induction and radius. The authors consider an example of a system consisting of a main part—a sequence of balanced “transverse” modules in the form of flat discs and end parts, consisting of a combination of “transverse” modules and “longitudinal” ones, having the form of rings elongated along the axis with balanced end parts. It is shown that in the system under consideration, the characteristic dimensionless parameter θ with an unlimited increase in the number of elements of the main part can reach a value of about 24, and when the number of these elements changes within 20–40, it changes from 6 to 9.

中文翻译：

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准无力绕组磁系统维里定理的应用特点

摘要

该文章表明，在具有接近无力绕组的薄壁平衡绕组的磁系统中，参数 θ = W _M γ/ M σ _M的显着增加是可能的，根据维里定理，表征磁系统能量W _M与材料密度为 γ 的设备重量之比，其中在电磁力作用下出现机械应力 σ _M。在准无力磁系统中，绕组的主要部分处于局部平衡状态，只有相对较小的设备部分受到应力。这部分决定了整个系统的重量，而这个重量是可以最小化的。开发了平衡薄壁绕组的配置，在边界处同时满足两个边界条件——不存在垂直于边界的感应分量以及感应与半径的乘积恒定。作者考虑了一个由主要部分组成的系统示例——一系列呈平盘和端部形式的平衡“横向”模块，由“横向”模块和“纵向”模块的组合组成，其形式为沿轴伸长的环，具有平衡的端部。结果表明，在所考虑的系统中，随着主体单元数量无限增加，特征无量纲参数θ可达24左右，当这些单元数量在20~40之间变化时，从 6 变为 9。