Impact of delayed neutrons on bifurcation and stochastic self-excited oscillations in nuclear reactors with discrete control systems

IF 1.9 3区工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY

Annals of Nuclear Energy Pub Date : 2025-03-26 DOI:10.1016/j.anucene.2025.111372

Amel Raked , Abdeslam Seghour , Azzedine Chafa

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Abstract

The present study investigates the influence of delayed neutrons on stability boundaries, chaos, and bifurcation phenomena in nuclear reactors with discrete control systems. It focuses on a point kinetics model of a reactor with a regulatory system that includes a single group of delayed neutrons and temperature feedback related to either the moderator or fuel temperature, as well as power feedback. Bifurcation diagrams are used to examine the transition to chaos, an area previously underexplored. Our research includes the development of an analytical model and detailed numerical analysis to identify stability regions and chaotic dynamics in reactor models incorporating delayed neutrons. Furthermore, we introduce innovative one-dimensional piecewise linear maps that exhibit diverse behaviors, including periodic motion, n-band chaotic attractors, exterior crisis phenomena, type I intermittency, and periods of regular motion interrupted by short quasiperiodic motion and chaotic bursts. Comparisons are drawn between models with and without delayed neutrons.

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离散控制核反应堆中延迟中子对分岔和随机自激振荡的影响

本文研究了延迟中子对核反应堆离散控制系统中稳定边界、混沌和分岔现象的影响。它着重于一个反应堆的点动力学模型，该模型具有一个调节系统，包括一组延迟中子和与慢化剂或燃料温度相关的温度反馈，以及功率反馈。分岔图用于检查向混沌的过渡，这是一个以前未被充分探索的领域。我们的研究包括一个分析模型的发展和详细的数值分析，以确定稳定区域和混沌动力学的反应堆模型包含延迟中子。此外，我们引入了创新的一维分段线性映射，其表现出多种行为，包括周期运动，n带混沌吸引子，外部危机现象，I型间歇性，以及由短准周期运动和混沌爆发中断的规则运动周期。对有和没有延迟中子的模型进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Nuclear Energy 工程技术-核科学技术

CiteScore

4.30

自引率

21.10%

发文量

632

审稿时长

7.3 months

期刊介绍： Annals of Nuclear Energy provides an international medium for the communication of original research, ideas and developments in all areas of the field of nuclear energy science and technology. Its scope embraces nuclear fuel reserves, fuel cycles and cost, materials, processing, system and component technology (fission only), design and optimization, direct conversion of nuclear energy sources, environmental control, reactor physics, heat transfer and fluid dynamics, structural analysis, fuel management, future developments, nuclear fuel and safety, nuclear aerosol, neutron physics, computer technology (both software and hardware), risk assessment, radioactive waste disposal and reactor thermal hydraulics. Papers submitted to Annals need to demonstrate a clear link to nuclear power generation/nuclear engineering. Papers which deal with pure nuclear physics, pure health physics, imaging, or attenuation and shielding properties of concretes and various geological materials are not within the scope of the journal. Also, papers that deal with policy or economics are not within the scope of the journal.