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Purpose <p>In the current design of the Wuhan Advanced Light Source (WALS), the use of bending magnets with both transverse and longitudinal gradients poses significant challenges. To overcome these difficulties, we propose an improved solution based on the existing WALS lattice design that eliminates the requirement for dual-gradient bending magnets. Optimizing diffraction-limited storage rings is a highly complex nonlinear problem. Conventional multi-objective genetic algorithms, when applied directly, often converge to local optima and result in significant time expenditure.</p> Methods <p>To address these limitations, we enhanced the multi-objective genetic algorithm, effectively avoiding local optima traps and significantly reducing computation time. Further optimization of these solutions was performed using frequency map analysis, resulting in good nonlinear dynamics.</p> Results <p>The optimized lattice achieves an emittance of 218.3 pm<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\cdot \)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>rad, comparable to the previous WALS lattice (214.8 pm<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\cdot \)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>rad), while maintaining a sufficiently large dynamic aperture. The optimized solution possesses a large dynamic aperture and exhibits good nonlinear dynamics.</p> Conclusion <p>The improved MOGA algorithm can effectively optimize the WALS lattice and achieve the desired solutions. The frequency map analysis (FMA) method was applied to assess the lattice nonlinearities for various sextupole configurations, with the objective of identifying the optimal configuration.</p>

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Design and optimization of a hybrid 7BA lattice for Wuhan advanced light source

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Hexing Yin,
  • Ye Zou,
  • Guimin Liu,
  • Jike Wang,
  • Jianhua He

摘要

Purpose

In the current design of the Wuhan Advanced Light Source (WALS), the use of bending magnets with both transverse and longitudinal gradients poses significant challenges. To overcome these difficulties, we propose an improved solution based on the existing WALS lattice design that eliminates the requirement for dual-gradient bending magnets. Optimizing diffraction-limited storage rings is a highly complex nonlinear problem. Conventional multi-objective genetic algorithms, when applied directly, often converge to local optima and result in significant time expenditure.

Methods

To address these limitations, we enhanced the multi-objective genetic algorithm, effectively avoiding local optima traps and significantly reducing computation time. Further optimization of these solutions was performed using frequency map analysis, resulting in good nonlinear dynamics.

Results

The optimized lattice achieves an emittance of 218.3 pm \(\cdot \) · rad, comparable to the previous WALS lattice (214.8 pm \(\cdot \) · rad), while maintaining a sufficiently large dynamic aperture. The optimized solution possesses a large dynamic aperture and exhibits good nonlinear dynamics.

Conclusion

The improved MOGA algorithm can effectively optimize the WALS lattice and achieve the desired solutions. The frequency map analysis (FMA) method was applied to assess the lattice nonlinearities for various sextupole configurations, with the objective of identifying the optimal configuration.