Section 4:  The Effect of Delayed Neutrons on Power Changes

Periodic Table Symbols/Nomenclature

MODULE 12 

Section 1: 

The Effects of Neutron Life Time on Changes in the Reactor Power

Section 2:

Reactor Period

Section 3:

The Effect of Prompt Neutrons

Section 4:

The Effects of Delayed Neutrons on Power Changes

Section 5: 

Power Change Rate

Section 6: 

Prompt Critical Condition

Section 7: 

Exercises

In the fission of U235, about 99.35% of the neutrons produced are prompt neutrons and the remaining 0.65% are delayed neutrons.

Delayed neutron data for thermal fissions in U235.

The delayed neutron fraction can be discussed as both an actual and effective fraction.  See discussion.

Neutron life-time is the average time from the formation of the precursor until a delayed neutron is emitted, or, that is to say,

 

 In order to obtain

 

The average neutron life-time of delayed neutrons is about 13 sec, or in other words, this is about the time lapse we must wait for the average delayed neutrons to be released by their precursors.

In order to obtain the average time for all prompt and delayed neutrons:

0.9935 · 10-14 s + 0.0065 · 13 s = 0.085 s

In order to obtain the average neutron life-time for a given generation, we must add the diffusion time (tD) of the neutrons in the moderator:

L = 0.085 + 0.001 = 0.086 s

Thus, even though the delayed neutrons represent only a small portion of total neutrons generated via fission, the average neutron life-time of all neutrons is increased:

L = 0.001 s to 0.086 s equals a factor of 86

In order to simplify matters, let's assume that L = 0.1 s.

Example

Example for the case of negative reactivity

Graphic representation of these two examples

The rise in power is much slower than in the case of the prompt neutrons and thus it is possible to implement protection and regulation systems.

  

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