# Deterministic Modeling of the High Temperature Test Reactor

## Abstract

Idaho National Laboratory (INL) is tasked with the development of reactor physics analysis capability of the Next Generation Nuclear Power (NGNP) project. In order to examine INL’s current prismatic reactor deterministic analysis tools, the project is conducting a benchmark exercise based on modeling the High Temperature Test Reactor (HTTR). This exercise entails the development of a model for the initial criticality, a 19 column thin annular core, and the fully loaded core critical condition with 30 columns. Special emphasis is devoted to the annular core modeling, which shares more characteristics with the NGNP base design. The DRAGON code is used in this study because it offers significant ease and versatility in modeling prismatic designs. Despite some geometric limitations, the code performs quite well compared to other lattice physics codes. DRAGON can generate transport solutions via collision probability (CP), method of characteristics (MOC), and discrete ordinates (Sn). A fine group cross section library based on the SHEM 281 energy structure is used in the DRAGON calculations. HEXPEDITE is the hexagonal z full core solver used in this study and is based on the Green’s Function solution of the transverse integrated equations. In addition, two Monte Carlo (MC) based codes, MCNP5 andmore »

- Authors:

- Publication Date:

- Research Org.:
- Idaho National Laboratory (INL)

- Sponsoring Org.:
- DOE - NE

- OSTI Identifier:
- 989875

- Report Number(s):
- INL/EXT-10-18969

TRN: US1007239

- DOE Contract Number:
- DE-AC07-05ID14517

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; BENCHMARKS; COMPUTERIZED SIMULATION; CONFIGURATION; CONTROL ELEMENTS; CRITICALITY; CROSS SECTIONS; DESIGN; DIFFUSION; DISCRETE ORDINATE METHOD; GRAPHITE; HTTR REACTOR; MONTE CARLO METHOD; MULTIPLICATION FACTORS; NUCLEAR POWER; PHYSICS; PROBABILITY; REACTOR PHYSICS; TEMPERATURE COEFFICIENT; HTTR, HEXPEDITE, SERPENT, DRAGON

### Citation Formats

```
Ortensi, J., Cogliati, J. J., Pope, M. A., Ferrer, R. M., and Ougouag, A. M.
```*Deterministic Modeling of the High Temperature Test Reactor*. United States: N. p., 2010.
Web. doi:10.2172/989875.

```
Ortensi, J., Cogliati, J. J., Pope, M. A., Ferrer, R. M., & Ougouag, A. M.
```*Deterministic Modeling of the High Temperature Test Reactor*. United States. doi:10.2172/989875.

```
Ortensi, J., Cogliati, J. J., Pope, M. A., Ferrer, R. M., and Ougouag, A. M. Tue .
"Deterministic Modeling of the High Temperature Test Reactor". United States. doi:10.2172/989875. https://www.osti.gov/servlets/purl/989875.
```

```
@article{osti_989875,
```

title = {Deterministic Modeling of the High Temperature Test Reactor},

author = {Ortensi, J. and Cogliati, J. J. and Pope, M. A. and Ferrer, R. M. and Ougouag, A. M.},

abstractNote = {Idaho National Laboratory (INL) is tasked with the development of reactor physics analysis capability of the Next Generation Nuclear Power (NGNP) project. In order to examine INL’s current prismatic reactor deterministic analysis tools, the project is conducting a benchmark exercise based on modeling the High Temperature Test Reactor (HTTR). This exercise entails the development of a model for the initial criticality, a 19 column thin annular core, and the fully loaded core critical condition with 30 columns. Special emphasis is devoted to the annular core modeling, which shares more characteristics with the NGNP base design. The DRAGON code is used in this study because it offers significant ease and versatility in modeling prismatic designs. Despite some geometric limitations, the code performs quite well compared to other lattice physics codes. DRAGON can generate transport solutions via collision probability (CP), method of characteristics (MOC), and discrete ordinates (Sn). A fine group cross section library based on the SHEM 281 energy structure is used in the DRAGON calculations. HEXPEDITE is the hexagonal z full core solver used in this study and is based on the Green’s Function solution of the transverse integrated equations. In addition, two Monte Carlo (MC) based codes, MCNP5 and PSG2/SERPENT, provide benchmarking capability for the DRAGON and the nodal diffusion solver codes. The results from this study show a consistent bias of 2–3% for the core multiplication factor. This systematic error has also been observed in other HTTR benchmark efforts and is well documented in the literature. The ENDF/B VII graphite and U235 cross sections appear to be the main source of the error. The isothermal temperature coefficients calculated with the fully loaded core configuration agree well with other benchmark participants but are 40% higher than the experimental values. This discrepancy with the measurement stems from the fact that during the experiments the control rods were adjusted to maintain criticality, whereas in the model, the rod positions were fixed. In addition, this work includes a brief study of a cross section generation approach that seeks to decouple the domain in order to account for neighbor effects. This spectral interpenetration is a dominant effect in annular HTR physics. This analysis methodology should be further explored in order to reduce the error that is systematically propagated in the traditional generation of cross sections.},

doi = {10.2172/989875},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2010},

month = {6}

}