Solenoid is the most preferred geometry for MJ class–based HTS-based SMES; however, current carrying capacity is limited by the radial component of magnetic field. Optimization of dimensions is required for reducing the refrigeration cost, cost of 2 G HTS tape, structural support, and cryostat dimensions. A new optimized shape, which looks like a solenoid from the outside but has a different inner radius for each double pancake (DP) coil, is obtained using teaching learning-based optimization (TLBO) for minimum length and 1 MJ stored energy. The structural integrity and the operating current of SMES coil degrade due to high Lorentz force; therefore, stress is also included in optimization process as a constraint. COMSOL along with MATLAB is used for shape optimization. The operating current is increased by reducing the perpendicular component in these novel shapes thereby, reducing the total HTS tape length. These shapes are compared with the optimized perfect solenoid in terms of HTS tape length, stress, and inductance.

螺线管是基于 MJ 类的基于 HTS 的 SMES 最优选的几何形状；然而，载流能力受限于磁场的径向分量。需要优化尺寸以降低制冷成本、2 G HTS 胶带的成本、结构支撑和低温恒温器尺寸。使用基于教学的优化 (TLBO) 获得最小长度和 1 MJ 存储能量的新优化形状，从外部看起来像螺线管，但每个双薄饼 (DP) 线圈具有不同的内半径。SMES 线圈的结构完整性和工作电流由于高洛伦兹力而降低；因此，压力也作为约束包含在优化过程中。COMSOL 与 MATLAB 一起用于形状优化。通过减少这些新颖形状中的垂直分量来增加工作电流，从而减少总的 HTS 带长度。这些形状与优化的完美螺线管在 HTS 磁带长度、应力和电感方面进行了比较。