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1.If the core must have excess reactivity in order to increase power, then how does this affect load following with SMRs
In many nuclear power plants there is a need to operate in the load following mode. The small modular reactors are utilized in these reactors for the purpose of co-generation. The load following idea defines the potential for a power plant to adjust its power output. The adjustment is highly dependent on the demand and price for electricity fluctuations from the state national grid during the day operations. The load following is achieved in the nuclear power plants by immersing the control rods into the pressure vessels in the reactor. The core power density is given as
Where Fq is the power peaking factor and the P’’’ is the maximum power density in the core.
Combining the two equations we are able to obtain the total power at the core as,
The reactor designers and physicists are able to maximize this ratio using the control rods, new designs, and varying enrichment. The temperature is increased to create a feedback mechanism in the reactor through Doppler broadening, thermal expansion, and density changes which will induce spectral shifts. These changes will impact the reactivity, thus causing transients (MIT , 2009). It is noted that when power increases to its operating level, additional negative reactivity is introduced by an increase in temperature. Excess reactivity occurs as the value of rho, if all the control poisons or additives are removed from the core. These additive refer rods and power adjustment components. The large excess reactivity is avoided as they need a lot of poison to compensate at the beginning of the cycle and they tend to require extra care.
The increase in the excess reactivity by inserting control rods as power is reduced helps in improving the load following with the SMRs. The control rod position adds a very large amount of negative reactivity that increases to shutdown margin (SDM). The instantaneous amount of reactivity by which a nuclear reactor core is subcritical, or can be made subcritical from its present condition, with the most reactive control rod fully withdrawn from the core at any time during the core cycle denotes the SDM. The same thing on a reactor shutdown occurs though in this case the shutdown rods may not be inserted. This as well increases the SDM slightly. During the power operation, control rods must be above a certain minimum height to ensure that there is adequate SDM on a trip (Industry Learning, 2014).
2.Select one ATF fuel concept and one cladding concept. Conduct the risk assessment matrix and discuss the results.
The SiC sandwich concept. This is an ATF fuel concept that has been adopted in Europe especially in France. In the first phase, oxidation tests are carried out in LWR nominal conditions for 3500h. the mechanism used to perform the oxidation are clearly understood. The pyrocarbon interphase is not affected: no reduction of mechanical strength is observed in the test. The test does a recession of the alloy in the nominal oxidation conditions. The numerical simulation of the rod behavior is developed in the normal behavior. The Fuel-SiC interface issues are handled in the second phase of the tests. It is observed that there is corrosion during the nominal conditions and the high temperature oxidation and irradiation tests proves quite promising. The SiC sandwich is a candidate for experimental comparison and numerical approach evaluations.
Figure 1 SiC AFT Concept (Anon., 2013)
There are three key categories of cladding materials that can be considered in the nuclear fuel cycle,
The coatings or wraps involved in cladding are either on the inner or outer part of the tubes. There is a proposed prioritization that assumes the primary material meets basic requirements for use in a fuel rod. A test matrix for the candidate fuel and cladding includes all the licensing criteria and it identifies the existing test standards or characterization tests for which standards must be developed for future qualifications. In this paper, the fully ceramic cladding concept is adopted and there are several tests performed on it to determine if it is risky or if it is feasible enough. It is important to note that when cooling cannot be restored during the course of a severe accident, the accident is bound to accelerate or proceed in the same magnitude.
The ATF designs are developed to meet the LWE operations, safety, and fuel cycle constraints. They are evaluated over all potential performance regimes such as fabrication or ability to manufacture, the normal operations and anticipated operational occurrences, postulated accidents as well as the severe accidents, and the use, storage, and transportation of fuel including the potential for future reprocessing. Reduced oxidation and hydrogen generation is the key benefit of alternative cladding and materials. The ATF cladding development efforts focus on materials with more benign steam reactions. The advanced steels, refractory metals, ceramic cladding, innovative alloys with dopants, and Zircaloy with coating or sleeve. The ATF fuel concept taken into consideration in this case is high density fuels, oxide fuels with additives, and micro-encapsulated fuels. The micro-encapsulated fuel concept is much more suitable as it is adopted in Asia and Europe. When designing or developing the concepts in the strategic plan, the first thing is to perform a feasibility study on the advanced fuel and clad concepts. This is done by bench-scale fabrication, irradiation tests, steam reactions, furnace tests, and modelling of the mechanical properties. Development and qualification follows and the product is commercialized.
Performance Regime | Performance Attributes (For large-scale deployment) | Expert Opinion | Recommended Actions | |
Benefit | Vulnerability | |||
Fabrication/ manufacturability Considerations: Millions ft. of clad/year. ~ 300 million pellets/year Economic-cost of raw materials and fabrication process Current fabrication plant enrichment limits. | Manageable fissile material content Compatible with large scale production needs (material availability, fabrication techniques, waste etc.) Compatible with quality and uniformity standards Licensibility | Manufacturability Transportability Toxicity Control rod compatibility Reprocessing potential Proliferation potential | Access to raw materials and corrosion of plants due to water reactivity. | Highly ability to manufacture as the plants and extraction sites for raw materials are already established. |
Normal operation and AOOs Considerations: Overall neutronics Linear Heat Generation Rate (LHGR) to centerline melt Power ramp, ~ 100W/m/min Reduced flow (departure from nucleate boiling, DNB) Flow induced vibrations Surface roughness effects Safe shutdown-earthquake External pressure Axial growth (less than upper nozzle gap) | Utilization or burnup (12,18, or 24 month/cycle) Thermal hydraulic interaction Reactivity control systems interaction Mechanical strength, ductility (beginning of life and after irradiation) Thermal behavior (conductivity, specific heat, melting) Chemical compatibility/ stability Chemical compatibility with and impact on coolant chemistry Fission product behavior | The melting point is important under RIA and LOCA conditions Thermal conductivity many impact DNB under loss of flow conditions |
| The higher melting point is preferred. Higher thermal conductivity is preferred. Higher diffusivity is preferred Lower coefficient of thermal expansion is preferred |
Postulated Accidents (Design Bias) Considerations: Prompt reactivity insertion Post-DNB behavior Loss of coolant conditions Thermal shock Steam reactions | Thermal behavior (conductivity, specific heat, melting) Chemical compatibility/ stability Chemical compatibility with and impact on coolant chemistry Fission product behavior | Fissile density Cross sections Reactivity feedback coefficients | Low parasitic absorption. New concepts should retain fission products as well as UO2 | Higher fissile density is preferred. Desire high fission cross sections |
Severe Accidents (Beyond Design Bias) Considerations: Thermal shock Chemical reactions Combustible gas release Long term stability in degraded state | Mechanical strength and ductility Thermal behavior Chemical compatibility/stability Fission product behavior Combustible gas production | Yield strength. Toughness Creep rate Modulus of elasticity |
| Lower yield strength, higher toughness, rapid creep rate during normal operations, and structural rigidity is required during normal operation. |
Used Fuel storage/Transport/Disposition Considerations: Handling, placement, and drying loads, future reprocessing potential | Mechanical strength, ductility Thermal behavior Chemical stability Fission product behavior | Water reactivity Clad compatibility Phase stability Fission product chemistry |
| There are no adverse reactions between fuel and cladding under normal conditions. Lower water reactivity is desired |
Anon., 2013. Advanced Fuel Campaign. s.l.:Oak Ridge National Laboratory.
Industry Learning, 2014. Operator Generic Fundamentals Reactor Theory- Reactivity Coefficients. s.l.:s.n.
MIT , 2009. Neutron Science and Reactor Physics. Fall ed. Carlifonia: MIT OpenCourseWare.
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