DOI: 10.3724/SP.J.1187.2009.10096

Journal of Electronic Measurement and Instrument (电子测量与仪器学报) 2009/23:10 PP.96-99

Improved harmonic-balance algorithms based on the genetic algorithms

As the slow of iterative convergence and large amount of calculation quantity in general harmonic balance algorithm (GHBA), an improved harmonic-balance algorithm which is based on the genetic algorithms’ implicit parallelism, overall superior solution and problem model independence for speeding up the convergence of iteration procedure is proposed. This method combines genetic algorithms’ stochastic self-adaptive optimization process and GHBA’s iterative process, it makes GHBA’s iterative calculation process is simplified and GHBA’s iterative convergence speed and calculation precision are improved. By using Duffing-Van Der Pol equations as example, approximate analytic solutions is obtained with this algorithm, acquired the better consistent with numerical value solution by using Runge-Kutta methods, which indicates that this algorithm is valid.

Key words:harmonic-balance algorithms,genetic algorithms,nonlinear equations,optimization

ReleaseDate:2014-07-21 14:58:15

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