Shimjith S.R., Tiwari A.P., Bandyopadhyay B. Modeling and Control of a Large Nuclear Reactor: A Three-Time-Scale Approach

Springer-Verlag, Berlin, 2013. — 138 p. — ISBN10: 3642305881Control analysis and design of large nuclear reactors requires a suitable mathematical model representing the steady state and dynamic behavior of the reactor with reasonable accuracy. This task is, however, quite challenging because of several complex dynamic phenomena existing in a reactor. Quite often, the models developed would be of prohibitively large order, non-linear and of complex structure not readily amenable for control studies. Moreover, the existence of simultaneously occurring dynamic variations at different speeds makes the mathematical model susceptible to numerical ill-conditioning, inhibiting direct application of standard control techniques. This monograph introduces a technique for mathematical modeling of large nuclear reactors in the framework of multi-point kinetics, to obtain a comparatively smaller order model in standard state space form thus overcoming these difficulties. It further brings in innovative methods for controller design for systems exhibiting multi-time-scale property, with emphasis on three-time-scale systems.Multipoint Kinetics Modeling of Large Nuclear Reactors
Output Feedback Control Design
Multiparameter Singular Perturbation of Linear Optimal Regulators
Direct Block Diagonalization and Composite Control of Three–Time–Scale Systems
Design of Fast Output Sampling Controller for Three–Time–Scale Systems