Diagnosis of Individual Cell Frequencies in a Coupled Cavity Chain by Genetic Algorithms

NI Yi; TONG De-Chun; LIN Yu-Zheng

Chinese Physics C> 2001, Vol. 25> Issue(7) : 689-695

Diagnosis of Individual Cell Frequencies in a Coupled Cavity Chain by Genetic Algorithms

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

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Abstract：
Genetic algorithms (GAs) is used to diagnose individual call frequencies in a coupled cavity chain with no need of any probe insertion. The cell frequencies and couplings between the cells are determined in terms of the measured pass-band performance. It will simplify the tuning processes and make the tuning of the sealed cavity possible. The solution is cast as an optimization problem and GAs is used as a function optimizer to solve this problem. Moreover, in order to expedite the convergence, nonlinear least squares method is added as one kind of mutation into GAs, which makes GAs converge faster and improves the precision of the solution. The effectiveness of the new technique has been demonstrated through some numerical examples, and the results have also been compared with those of the conventional GAs.

References

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. Hable E et al.Tuning of a Superconducting Accelerating Cavity Under Operating Conditions.CERN/EF/RF81-5,1981 2. YUAN Ya-Xiang et al.Theory and Method of Optimization.Beijing:Science Publishing House,1997.1— 339(in Chinese)(袁亚湘等.最优化理论与方法.北京:科学出版社,1997.1—339)3. Gay D M et al.An Adaptive Nonlinear Least-Squares Algorithm.ACM Trans.Math.Software,1981,7:348— 368 4. Michalewicz Z .Genetic Algorithms+Data Structures =Evolution Programs.New York :Springer ,1994 .1—336 5. Nagle D E et al.Coupled Resonator Model for Standing Wave Accelerator Tanks.The Review of Scientific Instruments,1967,38:1—11 6. Schriber S O.Fitting of an Ordered Set of Model Frequencies.Master Thesis,Chalk River Nuclear Laboratories,1970 7. Dennis J E et al.Algorithm 573.NL2SOL———An Adaptive Nonlinear Least-Squares Algorithm .ACM Trans.Math.Software,1981,7:369—383

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NI Yi, TONG De-Chun and LIN Yu-Zheng. Diagnosis of Individual Cell Frequencies in a Coupled Cavity Chain by Genetic Algorithms[J]. Chinese Physics C, 2001, 25(7): 689-695.

NI Yi, TONG De-Chun and LIN Yu-Zheng. Diagnosis of Individual Cell Frequencies in a Coupled Cavity Chain by Genetic Algorithms[J]. Chinese Physics C, 2001, 25(7): 689-695. shu

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Received: 2000-07-05
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Diagnosis of Individual Cell Frequencies in a Coupled Cavity Chain by Genetic Algorithms

Corresponding author: NI Yi,

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Received Date: 2000-07-05
Accepted Date: 1900-01-01
Available Online: 2001-07-05

Abstract: Genetic algorithms (GAs) is used to diagnose individual call frequencies in a coupled cavity chain with no need of any probe insertion. The cell frequencies and couplings between the cells are determined in terms of the measured pass-band performance. It will simplify the tuning processes and make the tuning of the sealed cavity possible. The solution is cast as an optimization problem and GAs is used as a function optimizer to solve this problem. Moreover, in order to expedite the convergence, nonlinear least squares method is added as one kind of mutation into GAs, which makes GAs converge faster and improves the precision of the solution. The effectiveness of the new technique has been demonstrated through some numerical examples, and the results have also been compared with those of the conventional GAs.