### Abstract

was used to generate group constants and albedo boundary conditions for two-group nodal diffusion reactor dynamics code HEXTRAN. The results of a HEXTRAN calculation of the steady state were compared to Serpent 2. Initial 3D Serpent 2 calculation produced an effective multiplication factor of

*k*= 1.01480 for the critical steady state. Subsequent calculations showed that adding the stainless steel spacer grids of the V-1000 core to the Serpent 2 model lowered this overestimation by 660 pcm. Furthermore, it was found that the soluble boron concentration of the steady state has the potential to shift the effective multiplication factor by up to 577 pcm while still staying within its experimental accuracy. When the soluble boron concentration was set to

_{eff}the highest allowable concentration within its experimental accuracy and the spacer grids were taken into account, Serpent 2 produced a

*k*= 1.00243 for the critical steady state. HEXTRAN produced an effective multiplication factor within 521 pcm of the corresponding full core Serpent 2 calculation. There was a tilt in the HEXTRAN solution relative to Serpent 2 such that the relative powers in the middle of the core were significantly underestimated.

_{eff}Original language | English |
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Number of pages | 6 |

Publication status | Published - 2017 |

Event | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2017 - Jeju, Korea, Republic of Duration: 16 Apr 2017 → 20 Apr 2017 |

### Conference

Conference | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2017 |
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Abbreviated title | M&C 2017 |

Country | Korea, Republic of |

City | Jeju |

Period | 16/04/17 → 20/04/17 |

### Fingerprint

### Keywords

- Serpent
- HEXTRAN
- Monte Carlo neutronics
- nodal diffusion

### Cite this

*Calculating V-1000 Core Model With Serpent 2: HEXTRAN Code Sequence*. Paper presented at International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2017, Jeju, Korea, Republic of.

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**Calculating V-1000 Core Model With Serpent 2 : HEXTRAN Code Sequence.** / Sahlberg, Ville.

Research output: Contribution to conference › Conference article › Scientific

TY - CONF

T1 - Calculating V-1000 Core Model With Serpent 2

T2 - HEXTRAN Code Sequence

AU - Sahlberg, Ville

N1 - Peer-reviewed: Abstract only

PY - 2017

Y1 - 2017

N2 - Continuous-energy Monte Carlo reactor physics code Serpent 2 was used to model the critical steady state conditions measured in V-1000 zero-power critical facility at the present day NRC “Kurchatov Institute”, Moscow in 1990-1992. The Serpent 2 results were compared to measurements and Serpent 2was used to generate group constants and albedo boundary conditions for two-group nodal diffusion reactor dynamics code HEXTRAN. The results of a HEXTRAN calculation of the steady state were compared to Serpent 2. Initial 3D Serpent 2 calculation produced an effective multiplication factor of keff = 1.01480 for the critical steady state. Subsequent calculations showed that adding the stainless steel spacer grids of the V-1000 core to the Serpent 2 model lowered this overestimation by 660 pcm. Furthermore, it was found that the soluble boron concentration of the steady state has the potential to shift the effective multiplication factor by up to 577 pcm while still staying within its experimental accuracy. When the soluble boron concentration was set tothe highest allowable concentration within its experimental accuracy and the spacer grids were taken into account, Serpent 2 produced a keff = 1.00243 for the critical steady state. HEXTRAN produced an effective multiplication factor within 521 pcm of the corresponding full core Serpent 2 calculation. There was a tilt in the HEXTRAN solution relative to Serpent 2 such that the relative powers in the middle of the core were significantly underestimated.

AB - Continuous-energy Monte Carlo reactor physics code Serpent 2 was used to model the critical steady state conditions measured in V-1000 zero-power critical facility at the present day NRC “Kurchatov Institute”, Moscow in 1990-1992. The Serpent 2 results were compared to measurements and Serpent 2was used to generate group constants and albedo boundary conditions for two-group nodal diffusion reactor dynamics code HEXTRAN. The results of a HEXTRAN calculation of the steady state were compared to Serpent 2. Initial 3D Serpent 2 calculation produced an effective multiplication factor of keff = 1.01480 for the critical steady state. Subsequent calculations showed that adding the stainless steel spacer grids of the V-1000 core to the Serpent 2 model lowered this overestimation by 660 pcm. Furthermore, it was found that the soluble boron concentration of the steady state has the potential to shift the effective multiplication factor by up to 577 pcm while still staying within its experimental accuracy. When the soluble boron concentration was set tothe highest allowable concentration within its experimental accuracy and the spacer grids were taken into account, Serpent 2 produced a keff = 1.00243 for the critical steady state. HEXTRAN produced an effective multiplication factor within 521 pcm of the corresponding full core Serpent 2 calculation. There was a tilt in the HEXTRAN solution relative to Serpent 2 such that the relative powers in the middle of the core were significantly underestimated.

KW - Serpent

KW - HEXTRAN

KW - Monte Carlo neutronics

KW - nodal diffusion

M3 - Conference article

ER -