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P Po  2t /DT keff 1 keff 1.0025 1 1.0025 0.00249 k/k ¯ eff eff 0.0070 0.00249 0.10  sec1   0.00249 18.1  sec REACTOR KINETICS DOE-HDBK-1019/2-93 Reactor Theory (Reactor Operations) NP-04 Rev. 0 Page 18 Doubling time (DT) =     (ln 2) where: =  stable reactor period ln 2 =  natural logarithm of 2 When the doubling time is known, the power level change from P  is given by the following o equation. (4-12) where: t =  time interval of transient DT =  doubling time The following example problems reinforce the concepts of period and startup rate. Example 1: A reactor has a of 0.10 sec   and an effective delayed neutron fraction of 0.0070.  If eff -1 k    is equal to 1.0025, what is the stable reactor period and the SUR? eff Solution: Step 1: First solve for reactivity using Equation (3-5). Step 2: Use this value of reactivity in Equation (4-9) to calculate reactor period.

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