Measuring spent fuel assembly multiplication in borated water with a passive neutron albedo reactivity instrument
Summary (4 min read)
1 INTRODUCTION
- Among those characteristics, PNAR has the unique role, in the integrated system, of measuring the assembly’s neutron multiplication.
- Their recommendations are not IAEA policy; the inclusion of multiplication as a metric is novel.
- In Finland there will be two measurement locations.
- The BWR fuel will be measured in fresh water while the VVER-440 fuel, as with most pressurized water reactor spent fuel pools, will be measured in borated water.
2 PASSIVE NEUTRON ALBEDO REACTIVITY PHYSICS
- The PNAR concept involves the comparison of the neutron count rate of an object when that object is measured in two different setups.
- One setup is designed to enhance neutron multiplication while the other setup is designed to suppress it.
- As the result of criticality safety regulations, the water in pool containing VVER-440 fuel is borated, while the pool containing BWR fuel is fresh.
- The PNAR signature, the PNAR Ratio, is calculated by dividing the count rate measured in the high multiplying section by the count rate measured in the low multiplying section.
- In isolation, these high-energy neutrons that are unaffected by the Cd-liner create a PNAR Ratio of 1.0; any deviation from 1.0 is due to counts produced by chain reactions initiated by neutrons that are absorbed by the Cd-liner.
3 PASSIVE NEUTRON ALBEDO REACTIVITY VVER-440 HARDWARE
- The PNAR conceptual design is part of an integrated NDA system that needs to meet the safeguards and safety needs of Finland in the context of VVER-440 spent fuel encapsulation and geological disposal.
- In Figure 2 a horizontal cross-cut illustrates that there are three detectors around the assembly at one axial location.
- Several aspects of the PNAR design are listed here:.
- The 3He tube and cylindrical PE are surrounded by a layer of cadmium so that, as a unit, the detector module detects primarily epithermal and fast neutrons incident upon it.
- The Cd-liner located close to the fuel, the full 0.74 m length of which is indicated in Figure 3, is the core hardware part needed to implement the PNAR concept.
4 SIMULATED PASSIVE NEUTRON ALBEDO REACTIVITY SIGNAL
- To assess the capability of the PNAR detector customized for VVER-440 fuel, the PNAR Ratio was simulated and calculated using 12 assemblies that span a range of initial enrichment (3, 4 and 5 wt.%) and burnup (15, 30, 45 and 60 GWd/tU) for a cooling time of 20-years.
- This boundary was defined as a cuboid, 0.4 m on two sides that extended 1.6 meters in the vertical direction.
- There is a large difference in the PNAR Ratio between any irradiated assembly and a non-multiplying assembly; for the three assemblies simulated, the average difference in the PNAR Ratio is 0.137.
- These additional data points are for the three fully irradiated assemblies for which the isotopic content was altered to represent the expected isotopic content after 40 and 80-years of cooling.
5 DYNAMIC RANGE AND UNCERTAINTY
- The conclusions drawn from the simulated data illustrated in Figure 4 and Figure 5 assume that the cumulative uncertainty inherent in a PNAR measurement is small enough such that the noted trends are not obscured.
- In the subsequent sections, the major anticipated uncertainties are analyzed to obtain an estimate of the expected aggregate uncertainty.
- For this study, the authors will primarily focus on the dynamic range between the following two cases: a fresh 4 wt.% assembly and a 4 wt.%, 45 GWd/tU, 20-year cooled assembly.
- Another useful uncertainty metric of comparison is the difference in the PNAR Ratio between a fully irradiated assembly and a non-multiplying assembly.
6 UNCERTAINTY DUE TO VARIATION IN BORON CONTENT
- The change in PNAR Ratio for a change in boron content caused by the 2 g of boric acid per kg of water variation was 0.013 for a fresh assembly and 0.008 for a fully irradiated assembly.
- The greater sensitivity of a fresh assembly to a change in the water boron content is expected because a fresh assembly is significantly more multiplying; hence, a given change in boron content will have a greater impact on changing the neutron multiplication.
- Given these assumptions and the simulations performed, a one-sigma uncertainty of 0.005 in the PNAR Ratio is suggested for the boron content variation when measuring VVER-440 assemblies.
- The decision to use 0.005 instead of 0.004 is a decision weighting the fact that most assemblies are fully irradiated but not all are.
7 UNCERTAINTY DUE TO POSITIONING OF ASSEMBLY IN DETECTOR
- For all the simulation results presented in this report, the simulated assemblies were positioned in the center of the detector opening.
- When measuring actual assemblies, it is noted that they will be suspended from the end of a crane from which they are lowered into the detector and that they are likely to have varying degrees of irradiation-induced bending, resulting in a non-centered assembly position.
- Comparison between the two showed that there was a slight systematic shift between the two sets of codes and cross sections.
- The results for which the MCNP5 code is being used is a comparison of MCNP5 results with MCNP5 results, a relative change.
- The uncertainty calculated for the MCNP5 statistics of each of the individual PNAR Ratios was again 0.0011.
8 UNCERTAINTY DUE TO COUNTING STATISTICS
- The uncertainty due to counting statistics for such an assembly is expected to be 0.004 when both PNAR section measurements last 2 minutes.
- Yet, if the count time is increased for the particularly weak emitting assemblies or if more detector tubes are included, the authors expect that the one-sigma uncertainty due to counting statistics can be kept below 0.005 in the PNAR Ratio.
9 CUMULATIVE UNCERTAINTY, SENSITIVITY AND SAFEGUARDS
- In the previous 3 sections, the one-sigma uncertainty in the PNAR Ratio was estimated for the variation in the boron content in the water, the positioning uncertainty of the assembly in the detector and the statistical uncertainty; values of 0.005, 0.002 and 0.005 were obtained, respectively.
- If the two largest uncertainties are halved then a one-sigma uncertainty of 0.005 is possible.
- Both the estimation of a 13 sigma variation between a fully irradiated assembly and non-multiplying assembly, as well as the estimation that a 1 sigma variation in the PNAR Ratio corresponds to a 3.2 GWd/tU variation in the burnup inform the utility of the PNAR instrument.
- He tube and gross gamma intensity with a nitrogen filled ion chamber that must agree with the declaration.
- Two suggestions are made with respect to how an inspectorate might use multiplication as a metric: (1) the calculations performed by the inspectorate, currently envisioned to be a SCALE + MCNP6 TM calculation, could simulate both the two parts of the PNAR measurement, with and without Cd present.
10 UNCERTAINTY IN THE SAFEGUARDS VERIFICATION CONTEXT
- To this point in the paper the authors have focused on uncertainties that are associated with the PNAR hardware or the measurement environment: boron content of the water, counting statistics and assembly location in the detector.
- These records may be more or less detailed because the data required as part of a safeguards declaration are often less detailed than the records maintained by facilities.
- Often pin-by-pin burnup data is available; yet, such detailed data does not need to be declared.
- What level of detail is provided by the State to Euratom and the IAEA is outside of the scope of this work; the point being made here is that the State may want to provide more detail to increase the likelihood of agreement between the measured values and the values estimated from by simulations using the declared data as input.
- The uncertainty inherent in the simulation of the PNAR Ratio and/or the net multiplication by the coupled SCALE and MCNP6 is a topic beyond the scope of the current research effort.
11 CONCLUSION
- By combining PNAR, PGET and a load cell, STUK has created an integrated NDA system that satisfies all the characteristics suggested by the NDA Focus Group convened by the IAEA as part of the ASTOR Experts Group.
- The performance of the PNAR instrument designed to measure VVER-440 fuel was examined.
- The PNAR instrument was included in the integrated system to measure the assembly’s neutron multiplication; this capability is of particular interest in the context of the VVER-440 fuel in Finland because the instrument must work in a pool of borated water, which reduces the neutron multiplication.
- The uncertainty caused by variation in the boron content, assembly positioning in the detector and counting statistics were all examined to estimate an aggregate uncertainty of 0.008 in the PNAR Ratio.
- The anticipated sensitivity of the PNAR instrument for the VVER-440 case was quantified.
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...are all consistent with the declaration [44]....
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29 citations
"Measuring spent fuel assembly multi..." refers methods in this paper
...The integrated instruments each have three parts, a Passive Gamma Emission Tomography (PGET) instrument [1, 2, 3, 4], a Passive Neutron Albedo Reactivity (PNAR) instrument [1, 5, 6, 7] and a load cell that will measure the assembly weight....
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28 citations
"Measuring spent fuel assembly multi..." refers methods in this paper
...80c cross sections [9] was used for the PNAR simulations....
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20 citations
"Measuring spent fuel assembly multi..." refers methods in this paper
...The integrated instruments each have three parts, a Passive Gamma Emission Tomography (PGET) instrument [1, 2, 3, 4], a Passive Neutron Albedo Reactivity (PNAR) instrument [1, 5, 6, 7] and a load cell that will measure the assembly weight....
[...]
20 citations
"Measuring spent fuel assembly multi..." refers methods in this paper
...The isotopic mixture of the various assemblies was produced by the Monteburns code [10] as part of the Next Generation Safeguards Initiative [11, 12]....
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Frequently Asked Questions (8)
Q2. What is the effect of measuring the assembly’s neutron multiplication in borated water?
The task of measuring the assembly’s neutron multiplication in borated water reduces the sensitivity of the instrument and increases the uncertainty.
Q3. How many PNAR Ratios are expected to be measured in Finland?
For a typical VVER assembly to be measured at the Finnish encapsulation facility a burnup of ~32 GWd/tU and a cooling time of ~40 years is anticipated.
Q4. Why is the PE slab located outside the detector modules?
The PE slab located outside the detector modules is there for two primary reasons: (a) to raise the neutron multiplication of an assembly inside the detector when the Cdliner is not present and (b) to reduce the uncertainty in the neutron count rate resulting from the variation in the boron content of the water4To assess the capability of the PNAR detector customized for VVER-440 fuel, the PNAR Ratio was simulated and calculated using 12 assemblies that span a range of initial enrichment (3, 4 and 5 wt.%) and burnup (15, 30, 45 and 60 GWd/tU) for a cooling time of 20-years.
Q5. How many PNAR Ratios were calculated for the three assemblies?
For the three assemblies that were irradiated to the level at which assemblies are generally removed from a commercial reactor (3 wt.% and 30 GWd/tU, 4 wt.% and 45 GWd/tU, 5 wt.% and 60 GWd/tU), which are three assemblies with PNAR Ratios of about 1.10, additional simulations were performed to calculate the PNAR Ratio for the case when no induced fission could take place.
Q6. What is the scope of the current research effort?
The uncertainty inherent in the simulation of the PNAR Ratio and/or the net multiplication by the coupled SCALEand MCNP6 is a topic beyond the scope of the current research effort.
Q7. What is the reason for including a PNAR instrument in the safeguards system?
The following points are the reasons for including a PNAR instrument in the safeguards system: (1) PNAR indicates that fissile material is present in the assembly.
Q8. How can the PNAR detector be more efficient?
It is interesting to note that the two largest uncertainties can reasonably be reduced by a factor of two in the following manner: (a) measure the boron content so that a correction to the PNAR Ratio calculation can be used, and (b) make the PNAR detector more efficient and/or count for longer.