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Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh). 1 Poisoning

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Poisoning. Poisoning. Poisoning. Not anticipated! Reactor shut down!. Time scale: Hours and days. 135 Xe 10 6 b. 149 Sm 10 5 b. Poisoning. HW 28. Negative reactivity due to poison buildup. It is proportional to the amount of poison. Poisoning. small. Initial conditions? - PowerPoint PPT Presentation

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Page 1: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

Page 2: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

Page 3: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning• Not anticipated! Reactor shut down! Time scale:Time scale:

Hours and days.Hours and days.135Xe106 b

149Sm105 b

XeI

Ia Xe

a

mXe

a

Page 4: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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HW 28HW 28

Poisoning

eratora

clada

fuela

poisona

poisona

eratora

clada

fuela

fuela

eratora

clada

fuela

fuela

f

f

kk

k

mod12

mod2

mod1

that Show

(critical)

reactor). (Infinite use uslet ,1

Reactivity

Negative reactivity due to poison buildup. It is proportional to the amount of poison.

Page 5: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

),(),(),(),(),(),(

),(),(),(),(),(

trtrXetrXetrItrt

trXe

trtrItrItrt

trI

XeaXeIfXe

IaIfI

Initial conditions?Initial conditions?• Clean Core Startup.Clean Core Startup.• Shutdown (later).

constant.)0()( assume uslet and

Fuel.Fresh 0)0()0(

t

XeI

small

Assume no spacial dependence.

Page 6: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

)(

)1()(

)(

)(

0

0

)(

0

0

0

0

ttXeaIXe

fI

tXeaXe

fXeI

IXeaXe

XeaXe

ee

etXe

)1()( 0 t

I

fI IetI

HW 29HW 29 Show that:

and

)(I)(Xe

Page 7: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

)(I)(Xe

eratora

clada

fuela

Xea

eratora

clada

fuela

poisona tXet

modmod

)()(

• Now, we know Xe(t)

Page 8: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning• Shutdown. Shutdown. After the reactor has been operating for a “long” time.

.0)0()(

)()0(

)()0(

t

XeXe

II

),(),(),(

),(),(

trXetrIt

trXe

trIt

trI

XeI

I

),(),(),(),(),(),(

),(),(),(),(),(

trtrXetrXetrItrt

trXe

trtrItrItrt

trI

XeaXeIfXe

IaIfI

Page 9: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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PoisoningHW 30HW 30 Show that

)()(

)()(

)()(

tt

XeI

It

t

IXeXe

I

eeI

eXetXe

eItI

Height of the peak depends on I() and Xe(), i.e. depends on .

> 0 ?

Page 10: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

If, the available excess reactivity can compensate for less than 30 minutes of poison buildup, can’t startup again after ~30 minutes of shutdown, because you can’t achieve criticality. Need to wait some 40 hours (in this case) for Xe to decay down.

Shutdown Xe negative move control rods out try to add positive reactivity need to have enough reserve costly to do that.

Page 11: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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Poisoning

Page 12: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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PoisoningStrategiesStrategies• If you plan to shut down for “short maintenance”, think about stepback.• Examine different scenarios using this code from

http://www.nuceng.ca/ • Prepare your own report, code, calculations, graphs, comments, conclusions etc…..• Be creative and use whatever experience you gained during your study in this program.

Page 13: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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PoisoningXe OscillationsXe Oscillations• (r,t) (spacial dependence) flux locally Xe burnup (reactivity) flux further control rods globally in flux elsewhere Xe burnup ….. Xe oscillation but limited by opposite effect due to increase (decrease) of I in the high (low) flux region.• In large reactors (compared to neutron diffusion length) local flux, power and temperature could reach unacceptable values for certain materials safety issues. • Think of one sensor and one control rod feel average flux apparently OK more sensors and control rods to locate and deal with local changes.

Page 14: Poisoning

Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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PoisoningPermanent PoisonsPermanent Poisons• 149Sm has sizeable but lower cross section than 135Xe.• It does not decay.

• Start from fresh fuel:

• Thus:

Constant . )0,()0,(),(),(),(

SmfSmfSm rrtrtrt

trSm

h time.Linear wit .Constant . )0,()0,(),( ttrrtrSm SmfSm

h time.Linear wit )0,()0,(),( trrtr fSmSma

Sma

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Nuclear Reactors, BAU, 1st Semester, 2007-2008 (Saed Dababneh).

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