Title :
A Global Optimization Algorithm Based on
Piecewise Response Surface Patches
Author :
Yao, Yingying ; Chang Seop Koh ; Yang, Shiyou ; Ni, Guangzheng
Author_Institution :
Zhejiang Univ.
fDate :
4/1/2007 12:00:00 AM
Abstract :
A new surrogate objective function is suggested for the global optimization of electromagnetic devices. The surrogate objective function is constructed using a C1 piecewise response surface incorporated with the design sensitivities computed by using the finite-element method. The sampling data points used for constructing the response surface are adaptively inserted during the optimization process. After the surrogate objective function is constructed, the global optimum point is obtained by using a genetic algorithm. Applications to benchmark problems and the optimum design of a permanent magnet system show the effectiveness of the proposed algorithm
Keywords :
electromagnetic devices; finite element analysis; genetic algorithms; permanent magnets; response surface methodology; electromagnetic devices; finite element method; genetic algorithm; global optimization algorithm; global optimum point; permanent magnet system; piecewise response surface patches; sampling data points; surrogate objective function; Algorithm design and analysis; Educational institutions; Electromagnetic devices; Finite element methods; Genetic algorithms; Helium; Magnetic analysis; Permanent magnets; Response surface methodology; Sampling methods; Design sensitivity; finite-element analysis; global optimization; response surface patches;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892484