Notice: this Wiki will be going read only early in 2024 and edits will no longer be possible. Please see: https://gitlab.eclipse.org/eclipsefdn/helpdesk/-/wikis/Wiki-shutdown-plan for the plan.
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.
Contents
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.