Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms

  • In the lattice design of a diffraction-limited storage ring (DLSR) consisting of compact multi-bend achromats (MBAs), it is challenging to simultaneously achieve an ultralow emittance and a satisfactory nonlinear performance, due to extremely large nonlinearities and limited tuning ranges of the element parameters. Nevertheless, in this paper we show that the potential of a DLSR design can be explored with a successive and iterative implementation of the multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA). For the High Energy Photon Source, a planned kilometer-scale DLSR, optimizations indicate that it is feasible to attain a natural emittance of about 50 pm·rad, and simultaneously realize a sufficient ring acceptance for on-axis longitudinal injection, by using a hybrid MBA lattice. In particular, this study demonstrates that a rational combination of the MOPSO and MOGA is more effective than either of them alone, in approaching the true global optima of an explorative multi-objective problem with many optimizing variables and local optima.
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Yi Jiao and Gang Xu. Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms[J]. Chinese Physics C, 2017, 41(2): 027001. doi: 10.1088/1674-1137/41/2/027001
Yi Jiao and Gang Xu. Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms[J]. Chinese Physics C, 2017, 41(2): 027001.  doi: 10.1088/1674-1137/41/2/027001 shu
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Received: 2016-07-26
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    Supported by NSFC (11475202, 11405187) and Youth Innovation Promotion Association CAS (2015009)

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Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms

    Corresponding author: Yi Jiao,
  • 1. Key Laboratory of Particle Acceleration Physics and Technology, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
Fund Project:  Supported by NSFC (11475202, 11405187) and Youth Innovation Promotion Association CAS (2015009)

Abstract: In the lattice design of a diffraction-limited storage ring (DLSR) consisting of compact multi-bend achromats (MBAs), it is challenging to simultaneously achieve an ultralow emittance and a satisfactory nonlinear performance, due to extremely large nonlinearities and limited tuning ranges of the element parameters. Nevertheless, in this paper we show that the potential of a DLSR design can be explored with a successive and iterative implementation of the multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA). For the High Energy Photon Source, a planned kilometer-scale DLSR, optimizations indicate that it is feasible to attain a natural emittance of about 50 pm·rad, and simultaneously realize a sufficient ring acceptance for on-axis longitudinal injection, by using a hybrid MBA lattice. In particular, this study demonstrates that a rational combination of the MOPSO and MOGA is more effective than either of them alone, in approaching the true global optima of an explorative multi-objective problem with many optimizing variables and local optima.

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