Abstract
1. With a negative temperature coefficient of reactivity, power oscillations in a pulsed periodic-action reactor grow with increase in power if the oscillations in external reactivity occur at a frequency several times less than the frequency of the power pulsations (by a factor of 2–4). 2. In contrast to steady-action reactor, the region of linear stability of a pulsed reactor with a negative temperature coefficient of reactivity is finite. There is a region of stability with a positive temperature coefficient of reactivity (in the absence of delayed neutrons). The interval of linear stability is determined by Eq. (10). 3. Because of the nonlinearity of the relation between the power-pulse energy and the introduced reactivity, the power oscillations in the region of linear instability (“free” oscillations) are finite. The period and amplitude of the free oscillations depend on the reactor parameters in a complex manner, and may be determined analytically for a region close to the limit of linear stability.
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