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一、引 言 为了设计空芯变压器,扎哈洛夫提出了超导模型,设想使空芯变压器线圈中电流模拟成一个超导环的电流分布,以便使变压器中的杂散场最小。但是,实际装置中要考虑真空抽气口、诊断观察窗和其它一些必要的开口。因此,完全实现超导环的电流分布是不可能的。为了克服这些困难,本文把磁能极小化的变分法和吉洪诺夫关于不适定问题的正则化方法结合起来,为空芯变压器的设计提出了一种新方法。在圆截面、线圈分布比较均匀的情况
I. INTRODUCTION In order to design an air-core transformer, Zakharov proposed a superconducting model, which envisaged making the current in the air-core transformer coil simulate the current distribution of a superconducting ring in order to minimize the stray field in the transformer. However, the actual device to consider the vacuum exhaust port, diagnostic observation window and other necessary openings. Therefore, it is impossible to fully realize the current distribution of the superconducting ring. In order to overcome these difficulties, this paper combines the minimization of the magnetic energy variational method with the method of regularization of the ill-posed problem proposed by Jikunov, and proposes a new method for the design of the air core transformer. In the circular section, the coil distribution is more uniform