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Based on the Meissner effect, a superconducting sphere is suspended in the vacuum housing. Due to the asphericity of the sphere, the torque is generated when the magnetic-supported suspension forces act on the spinning superconducting sphere. An analytical model is presented to calculate the magnetic-supported suspension torque. The torque is calculated with regard to ten superconducting bearing coils located around the sphere, and a case study is given to discuss the disturbance torque.