Multiparameter Singular Perturbation of Linear Optimal Regulators
In a nuclear reactor, the fission of 235 U, on an average, is characterized by the release of two to three neutrons which fall under two categories namely prompt and delayed neutrons. The former are released almost instantaneously whereas the latter are released after significant time delays subsequent to a fission. The time delays associated with delayed neutrons vary from a fraction of a second to about a minute. Moreover, phenomena due to fission products like xenon have even much larger time constants, of the order of several hours. Hence, a nuclear reactor system is essentially characterized by a multi-time-scale behavior. Likewise the AHWR also exhibits a three-time-scale behavior with eigenvalues falling in three distinct and widely separated clusters, as described in chapter 4.
KeywordsFast Subsystem Nodal Power Slow Subsystem Delayed Neutron Quadratic Performance Index
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