Skip to main content
Jump to: navigation, search

Difference between revisions of "Basic Statistical Analysis of LWR Pin Power Data"

(Pin Power Dataset Representation)
(Pin Power Dataset Representation)
Line 4: Line 4:
  
 
== Pin Power Dataset Representation ==
 
== Pin Power Dataset Representation ==
First, let's view the pin power dataset of each LWR as a 4D matrix P(i, j, k, l) where  
+
First, let's view the pin power dataset of each LWR as a 4D matrix ''P(i, j, k, l)'' where  
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
Line 22: Line 22:
 
| assembly number
 
| assembly number
 
|}
 
|}
 +
In order to compare two of these pin power datasets, we shall define the following 4D pin power datasets:
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Variable
 +
! scope="col"| Represents
 +
|-
 +
! scope="row"| A
 +
| reference power data set
 +
|-
 +
! scope="row"| B
 +
| alternate power data set
 +
|-
 +
! scope="row"| C
 +
| power difference data set
 +
|}
 +
where
 +
 +
_C = B - A _ (a '''basic power difference''')
 +
 +
or
 +
 +
_C = (B - A) / A _ (a '''relative power difference''')
 +
 +
In addition, each element in ''C'' can be weighted by a 4D matrix ''W''.
  
 
== Derived Quantities ==
 
== Derived Quantities ==

Revision as of 14:32, 28 February 2015

This article details the basic mathematical formulas used to statistically compare pin power data sets from a reference and an alternate LWR.

Due to the migration of our articles from MediaWiki to Markdown, the formulas are not showing up properly. Unfortunately, Markdown does not have a lot of support for mathematical characters. We will soon be migrating back to MediaWiki pages, at which point this article will be back to normal.

Pin Power Dataset Representation

First, let's view the pin power dataset of each LWR as a 4D matrix P(i, j, k, l) where

Variable Represents
i pin row
j pin column
k axial level
l assembly number

In order to compare two of these pin power datasets, we shall define the following 4D pin power datasets:

Variable Represents
A reference power data set
B alternate power data set
C power difference data set

where

_C = B - A _ (a basic power difference)

or

_C = (B - A) / A _ (a relative power difference)

In addition, each element in C can be weighted by a 4D matrix W.

Derived Quantities

1D Axial Power Results

2D Radial Power Results

3D Assembly Power Results

Copyright © Eclipse Foundation, Inc. All Rights Reserved.