超导直线加速器腔体几何β选取是否合适，直接影响到所需要的腔体类型(腔型)和腔体的总量，进而影响加速器的造价。采用线性近似的物理模型，并结合粒子群优化算法，开发出一套用来选择腔体几何β的程序。将之运用到中国加速器驱动次临界系统(C-ADS)质子直线加速器的设计中，得出一组最合适的βg和对应的物理设计方案。与现有的设计方案相比，新的设计方案的腔型个数少一个，而腔体总数基本不变，具有一定优势，同时也验证了本模型及优化算法的正确性。
Theβg of cavity in superconducting linac will determine how many cavities and cavity-types will be used in a project, and then it will affect to the total costs. In this paper, to get the most suitableβg of cavity, a linear approximation model has been proposed and a code has been developed combined with the algorithm of the particle swarm optimization(PSO). Then it was been examined in the project of China Accelerator Driven sub-critical System(C-ADS). Finally it was passed and got a set of the most suitableβg and the corresponding physical design. The new design has certain advantages over the existing design for the number of cavity type has been reduced while the total number of cavities was not increased.
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