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The Stability of Dynamic Systems
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approximation autu Axial variations Bessel function boiling reactor boiling water reactor burn-up Calder Hall type change in power changes in multiplication Chapter characteristic equation coefficient increases coefficients of reactivity complex control action control rods control system coolant temperature corresponding destabilizing determine diffusion equation divergence dynamic e-folding effect example extrapolated flattened radius flux flux-square weighted fuel elements fundamental mode Green's function Heat transfer coefficient Hence higher-mode instabilities increase in power instruments iodine moderator temperature necessary negative neglect neutron leakage NUCLEAR ENGINEERING obtain occur order of magnitude oscillatory partial differential equations plutonium positive coefficient possible power density power distribution power reactors pressure prompt neutron response second azimuthal mode solution stability analysis stability condition static stability criterion steady value steady-state power steady-state values steam voids sufficient temperature instability term threshold value total power type of instability uranium temperature variables voidage coefficient voidage instability xenon concentration xenon instability