Analytical solution of the fractional point kinetics equations with multi-group of delayed neutrons during start-up of a nuclear reactor
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- 作者：Abdallah A. Nahla a.nahla@science.tanta.edu.eg" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fractional point kinetics equations ; Multi-group of delayed neutrons ; Reactor start-up ; Fractional calculus ; Laplace transform
- 刊名：Annals of Nuclear Energy
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：99
- 期：Complete
- 页码：247-252
- 全文大小：1104 K
文摘
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Analytical solution of fractional point kinetics equations during start-up reactor is presented.
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Solution is based on the prompt jump approximation, Laplace transform, eigenvalues and eigenvectors.
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Analytical solution is applied for fractional model with six delayed neutron groups.
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Analytical solution results are compared with Zhang analytical method.
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Neutron density responses to speed of lifting control rod and fractional order are discussed.