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53 Cards in this Set
- Front
- Back
What does NOT afftect K eff?
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Installed Neutron Sources
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What if decreased will afftect K eff?
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fuel enrichment
control rod worth shutdown margin when the reactor is sibcritical |
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The effective multiplication factor (K eff) describes the ratio of the number of fission neutrons at the end of one generation to the number of fission neutrons at the ____of the ______ generation.
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end / previous
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What describes the ratio of the number of fission neutrons at the end of one generation to the number of fission neutrons at the end of the previous generation.
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The effective multiplication factor (K eff)
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K eff can be determined by dividing the number of neutrons in the 3rd generation by the number on neutrons in the ______
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2nd generation
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6 factor formula?
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E Lf P Lth F N
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___ accounts for neutron leakage
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K eff
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Lf =
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Fast non leakage prob
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Lth
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Thermal non-leakage prob
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E=
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fast fission factor
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Fast fission factor (E) =
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fast neutrons produced by ALL fission events / fast neutrons produced by thermal fission
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• Recall that_____ is the fraction of all neutrons that are born as delayed neutrons.
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B, the delayed neutron fraction,
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• The value of ______ depends upon the actual nuclear fuel used.
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B, the delayed neutron fraction,
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As previously discussed, the delayed neutron precursors for a given type of fuel are grouped on the basis of _____
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half-life
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Delayed neutrons being born at lower energies has two significant impacts.
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• Fast Fission Factor
• Leakage |
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The power in one portion might be suppressed by over insertion of control rods in that portion of the core, which, for a constant overall power level, results in a relatively higher flux in the remainder of the core.
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• Power tilt:
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This situation can lead to xenon oscillations.
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• Power tilt:
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_____ is required to exist at all times, even when the reactor is critical. It is important that there be enough negative reactivity capable of being inserted by the control rods to ensure complete shutdown at all times during the core lifetime.
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• Shutdown margin
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• A shutdown margin in the range of _____ is typically required
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one to five percent reactivity
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____ refers to the fact that the shutdown margin does not take credit for the insertion of the highest worth control rod
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• The stuck rod criterion
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• The application of the _____ ensures that the failure of a single control rod will not prevent the control rod system from shutting down the reactor.
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stuck rod criterion
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• The term ______ is used to describe the total amount of reactivity added, positive or negative, due to changing a parameter by a given amount.
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“reactivity defect” (ρx)
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is the fractional change in neutron population per generation
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• Reactivity
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Poisons are used for:
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Provide a more uniform power density
Allow higher enrichment at initial fuel load Provide Neutron Flux Shaping |
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Provide a more uniform power density
Allow higher enrichment at initial fuel load Provide Neutron Flux Shaping |
Poisons
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Non-Burnable Poison :_____ in Control Blades
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Hafnium rods/rodlets
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____ are used in power shaping, or to prevent excessive flux and power peaking.
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Non burnable poisons
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At the end of cycle (EOC), ______
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NO burnable poison should remain.
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The design objective when loading burnable poisons is to increase core reactivity by poison burnout at the same rate of _____due to fuel depletion.
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reactivity loss
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____ are built into the core to aid in reactivity control early in core life.
This allows for more fuel to be loaded into the core. Gadolinium is a common burnable poison |
Burnable Poisons
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____ Based of Steam Production, Important during normal power operation
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Void Coefficient
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____ Based on Fuel Temperature, Important to stop rapid power rises, as the fuel temperature is first to change, effects outside the cladding in the coolant are secondary and take time to occur.
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Fuel Temperature (Doppler) Coefficient –
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_____ Based on Coolant Temperature, Important during low power startups, before getting to saturation pressure
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Moderator Coefficient –
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Void fraction =
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volume of steam / volume of steam and water
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Negative coefficients : As power rises, so raises the temperature of the core and adds negative reactivity, which slows down, or turns, the power rise.
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Negative coefficients : As power rises, so raises the temperature of the core and adds negative reactivity, which slows down, or turns, the power rise.
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____ Desirable because of its self regulating effect.
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Negative coefficients:
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___In this case, the production of prompt neutrons alone is enough to balance neutron losses and increase the neutron population.
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• Prompt criticality :
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• A reactor whose reactivity even approaches ____ is likely to suffer damage due to the rapid rise in power to a very high level.
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prompt critical
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• If the reactivity of the core is one dollar, the reactor is ____
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prompt critical.
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___ is a specific type of core power distribution problem. It is a non symmetrical variation of core power in one quadrant of the core relative to the others.
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• A power tilt, or flux tilt,
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# of neutrons produced by fission in one generation / # of neutrons produced by fission in one generation
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• Infinite multiplication factor ( K infinity)
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• The condition where the reactor is critical on prompt neutrons, and the neutron population increases as rapidly as the prompt neutron generation lifetime allows is known as____
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prompt critical.
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• Sometimes neutron population gets low enough that it cannot be detected by the nuclear instrumentation.
• _____ are frequently used to provide a safe, easily monitored reactor startup. |
Installed neutron sources
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The reason that some reactors are designed to be under moderated is if the reactor were over moderated, an increase in temperature would decrease the _____ due to the expansion of the water as its density became lower.
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Moderator to Fuel ratio
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Optimum Point
» (_____ increasing the moderator to fuel ratio decreases keff due to the dominance of the decreasing thermal utilization factor. » _____, decrease in the moderator-to-fuel ratio decreases keff due to the dominance of the increased resonance absorption in the fuel. If the ratio is above this point, the core is said to be over moderated, and if the ratio is below this point, the core is said to be under moderated) |
Above / Below
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Moderator to Fuel Ratio : As the reactor designer increases the amount of moderator in the core (that is, Nm/Nu increases), neutron leakage decreases.
• Neutron absorption in the moderator (Σ) increases and causes a decrease in the thermal utilization factor. • Having insufficient moderator in the core (that is, Nm/Nu decreases) causes an increase in slowing down time and results in a greater loss of neutrons by resonance absorption. |
Moderator to Fuel Ratio : As the reactor designer increases the amount of moderator in the core (that is, Nm/Nu increases), neutron leakage decreases.
• Neutron absorption in the moderator (Σ) increases and causes a decrease in the thermal utilization factor. • Having insufficient moderator in the core (that is, Nm/Nu decreases) causes an increase in slowing down time and results in a greater loss of neutrons by resonance absorption. |
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About 7 percent of the 200 MeV produced by an average fission is released at some time after the instant of fission. This energy comes from the____of the fission products.
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decay
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• When a reactor is started up with unirradiated fuel, or on those occasions when the reactor is restarted following a long shutdown period, the _____ will be very low.. .
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source neutron population
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• Because the effective delayed neutron fraction is dependent upon the nuclides used as fuel, the ____ is also dependent on the nuclides used as fuel.
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value of the dollar
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• When positive reactivity is added to the core there will be a ____ in reactor power.
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prompt jump
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The effective delayed neutron fraction is the product of the ______
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average delayed neutron fraction and the importance factor
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• The ____ is defined as the fraction of neutrons at thermal energies which were born delayed.
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effective delayed neutron fraction Beta bar eff
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• The value of beta bar is the weighted average of the______ of the individual types of fuel.
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total delayed neutron fractions
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