Year: 1967
Type: article
Abstract: When a reactor is externally controlled, the parameters governing the control must be chosen in close connection with the nuclear and thermal properties and the out-put of the reactor, in order to attain a stability in the vicinityoftheoperatingpower.'To obtain this relation, non-linear integral equations containing the effects of fast and slow responding internai feedbacks and delayed neutrons are adopted and connected with the external control system.The method of introducing the special Liapunov's function which was developed by LuR'yE et al. is applied to the entire system and the required relation was obtained.The results of numerical caluculation are presented in the form of diagrams.These relations and diagrams will be usefull for the designing and operation of external control systems for reactors.This paper also deals briefiy with some modifications on the reactor dynamic equations to obtain a more concrete representation of the dynamical behaviour of heterogeneous reactors.It is desirable that the equations directly contain the effect of the moderator temperature, which consists of three thermal time constants and is the solution of heat equations between the heterogeneous elements of the reactor.The new equations are solved by expansion, and the region of stability was determined.
Author: Yuichi Ogawa
Language: English
Subfield: Nuclear Energy and Engineering
Field: Energy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W32783105