Characteristics of a reactor with power reactivity feedback

Characteristics of a reactor with power reactivity feedback 1 corresp first-author Corresponding author. E-mail address: lifengyu905@163.com Corresponding author. E-mail address: lifengyu905@163.com lifengyu905@163.com 1 2 1 Naval Architecture and Power College, Naval University of Engineering, Wuhan 430033, China Naval Architecture and Power College, Naval University of Engineering, Wuhan 430033, China College of Electronic and Information, Naval University of Engineering, Wuhan 430033, China College of Electronic and Information, Naval University of Engineering, Wuhan 430033, China The point-reactor model with power reactivity feedback becomes a nonlinear system. Its dynamic characteristic shows great complexity. According to the mathematic definition of stability in differential equation qualitative theory, the model of a reactor with power reactivity feedback is judged unstable. The equilibrium point is a saddle-node point. A portion of the trajectory in the neighborhood of the equilibrium point is parabolic fan curve, and the other is hyperbolic fan curve. Based on phase locus near the equilibrium point, it is pointed out that the model is still stable within physical limits. The difference between stabilities in the mathematical sense and in the physical sense is indicated. Point-reactor Stability Center manifold Phase locus References FU Longzhou . Nuclear reactor kinetics (in Chinese) . Beijing : Atomic Energy Press , 1988 : 81 - 115 . Nuclear reactor kinetics (in Chinese) CAI Zhangsheng . Chin J Nucl Sci Eng(in Chinese) , 2003 , 23 ( 1 ): 58 - 60 . Chin J Nucl Sci Eng(in Chinese) CHEN Wenzhen , KUANG Bo , GUO Lifeng , et al . Nucl Eng Design . 2006 , 236 ( 12 ): 1326 - 1329 . Nucl Eng Design LI Haofeng , CHEN Wenzhen , ZHANG Fan . Annals Nucl Energy , 2007 , 34 ( 6 ): 521 - 526 . Annals Nucl Energy CHEN Wenzhen , ZHU Bo , LI Haofeng . Acta Physica Sinica (in Chinese) , 2004 , 53 ( 8 ): 2486 - 2489 . Acta Physica Sinica (in Chinese) MA Zhien . Differential equation qualitative and stability method (in Chinese) . Beijing : Science Press , 2001 : 146 - 148 . Differential equation qualitative and stability method (in Chinese) 10.1016/S1001-8042(09)60022-1 TL329.4 Supported by Natural Science Foundation of Hubei Province (Grant No: 2007ABA360) . 2008-04-22 2008-12-20 2021-01-19 2008 Nuclear Science and Techniques 06 19