Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics

Cai Yun; Li Qing; Wang Kan

doi:10.13832/j.jnpe.2014.S2.0179

Volume 35 Issue S2

Feb. 2025

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Cai Yun, Li Qing, Wang Kan. Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics[J]. Nuclear Power Engineering, 2014, 35(S2): 179-182. doi: 10.13832/j.jnpe.2014.S2.0179

Citation:

Cai Yun, Li Qing, Wang Kan. Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics[J]. Nuclear Power Engineering, 2014, 35(S2): 179-182. doi: 10.13832/j.jnpe.2014.S2.0179

Cai Yun, Li Qing, Wang Kan. Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics[J]. Nuclear Power Engineering, 2014, 35(S2): 179-182. doi: 10.13832/j.jnpe.2014.S2.0179

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Application of Matrix Exponential Rational Approximation in Point Reactor Kinetics

doi: 10.13832/j.jnpe.2014.S2.0179

1. Department of Engineering Physics, Tsinghua University, Beijing, 100084, China;
2. Science Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu, 610041, China

Received Date: 2014-12-01
Rev Recd Date: 2014-12-21

Available Online: 2025-02-15

Abstract

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.
- Point reactor kinetics,
- Padé,
- approximations,
- Quadrature rational approximation,
- Chebyshev rational approximation,
- Richardson extrapo