Title :
An eigenvalue sensitivity study of a high temperature gas-cooled reactor system
Author_Institution :
General Atomic Company, San Diego, CA, USA
fDate :
6/1/1976 12:00:00 AM
Abstract :
This correspondence discusses the application of an eigenvalue sensitivity method [1] to a linear, time-invariant model of the high-temperature gas-cooled reactor (HTGR) manufactured by General Atomic. It is shown that for this type of system with distinct eigenvalues, a relation can be obtained between the solutions to the classical sensitivity. equation and the eigenvalue and eigenvector sensitivities. This relation indicates that the eigenvalue and eigenvector sensitivities are more fundamental indicators of parametric effects than the solutions of the sensitivity. equation. A Fortran program (SENSIT) was developed to implement the algorithms required for eigenvalue sensitivity calculations. This program was applied to a large scale (58 state) linear, time invariant model of the HTGR operating under closed-loop control.
Keywords :
Eigenvalues; Linear systems, time-invariant continuous-time; Nuclear reactor control; Sensitivity analysis; Constraint theory; Eigenvalues and eigenfunctions; Equations; Inductors; Large-scale systems; Linear programming; Optimal control; Sensitivity analysis; Temperature sensors; Time invariant systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1976.1101217