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

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== 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 13:32, 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*.