Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics
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摘要: 采用矩阵指数函数有理近似求解点堆动力学方程,研究了Padé近似、求积组有理近似(QRAM)和切比雪夫有理近似(CRAM)3种方法,并采用Richardson外推提高精度。计算结果表明,在大正反应性插入时,QRAM和CRAM的效果更好;外推后的Padé近似可能出现稳定性问题,其他2种方法稳定性较好。Abstract: The solution of point reactor kinetics is approximated by the rational approximation of the matrix exponential function. Three rational approximating methods which are Padé approximation, Quadrature Rational Approximation Method and Chebyshev Rational Approximation Method have been studied. And Richardson extrapolation technique has been used to improve the accuracy. The calculation results demonstrated that when the large positive reactivity is inserted, Quadrature and Chebyshev Rational Approximation Method are with better effects and stability, while Padé approximation with extrapolation may face the stability problem.
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