Conversion script for homogenized cross sections

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In order to be used with deterministic core simulators, the group constant output produced by Serpent has to be converted into appropriate format. Work on an automated conversion script has been started, and the latest version of the SXSFit scirpt is available [on-line]. Currently only the Serpent-ARES code sequence is fully supported, but support for other codes, including PARCS, will be added later on.

The script reads the homogenized group constant data from the [input].coe output files produced using the Automated burnup sequence, and takes advantage of a number of predetermined variables to pass information into the output. The format conversion depends on the code sequence, as described below.

The SXSFit script is run from the command line:

sxsfit INPUT

The input file identifies two parameters:



The cross section model in ARES is based on the combination of tabular interpolation and polynomial expansions.[1] Tabulated data is used for burnup points, control rod insertion branches and moderator temperature (PWR) or void (BWR) histories. The remaining variations are accounted for by polynomial interpolation of the form:

\Sigma =  \Sigma_0   + a\rho^2+b\rho   
  + cT_\mathrm{f}^2+dT_\mathrm{f}  
  + eT_\mathrm{m}^2+fT_\mathrm{m} 
  + g\rho T_\mathrm{f} 
  + h\rho T_\mathrm{m}^2+i\rho T_\mathrm{m} 
  + jT_\mathrm{f}T_\mathrm{m} 
  + kH_\mathrm{cr} 
  + lB^2+mB 
  + nH_\mathrm{bo}^2+oH_\mathrm{bo} 
  + pB^2T_\mathrm{m}^2 + qB^2T_\mathrm{m} + vBT_\mathrm{m}^2+wBT_\mathrm{m}   
  + rB^2T_\mathrm{f} +sBT_\mathrm{f} 
  + tB^2\rho+uB\rho

where \Sigma_0 is the value at the nominal state, a\dots w are the polynomial coefficients and:

\rho is the difference in relative coolant density compared to nominal value
T_\mathrm{f} is the difference in the square root of fuel temperature compared to nominal value
T_\mathrm{m} is difference in moderator temperature compared to nominal value
H_\mathrm{cr} is the control rod history (BWR)
B is the boron concentration (PWR)
H_\mathrm{bo} is the boron history (PWR)

Changes in the density of coolant in liquid state is included in the coolant temperature parameter. Separate parametrization for coolant density is to account for the effects of sub-cooled boiling. In practice this means running additional branches with small but non-zero void fraction.

The first 5 parameter variations are handled as branch variations. The procedure is repeated for differnt Moderator temperature (PWR) or coolant void (BWR) histories. Boron histories are accounted for by separate burnup calculations without branches. All branch calculations are repeated for different control rod types.

Serpent variables

The state point information is passed into the conversions script using the following variables:

VHI  : moderator temperature (PWR) or coolant void history (BWR)
BHI  : boron history
BOR  : boron concentration
CR  : insertion of contro rods (0 = no rods, n = rod type n inserted)
TFU  : fuel temperature
VOI  : coolant void fraction
TMO  : moderator temperature

SXSFit input

The syntax for the input block producing cross section library for a single assembly type is:

lib NAME 

where the input values are:

NAME  : name of the produced library
BOR0  : nominal boron concentration
TFU0  : nominal fuel temperature
TMO0  : nominal moderator temperature
N  : number of Serpent coe-files
COE1 ... COEN  : names of the coe-files


  1. ^ Mattila, R. "Kiehutusvesireaktorin vaikutusalamalli CROSS." YE-PR-5/02, VTT Technical Research Centre of Finland, 2002 (in Finnish)