Pellet-Cladding Interaction Analysis via Discrete Statepoint Grid

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Solution Overview

Problem

Current methods for analyzing pellet-cladding interaction (PCI) in nuclear reactors are labor-intensive, time-consuming, and costly, requiring a rod-by-rod analysis of up to 50,000 fuel rods, which is inefficient and impractical, especially when reactor operational limits change.

Innovation Solution

A method that evaluates pellet-cladding interaction by selecting key parameters and statepoints within a reactor core's operating space, using a discrete grid model to analyze potential transients and define safe operational guidelines, reducing the need for individual rod analysis through three-dimensional power distribution analysis and computer automation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a rod-by-rod brute force analysis method is used to evaluate PCI, then the analysis comprehensively covers all fuel rods and operational scenarios, but the analysis becomes extremely labor intensive, time consuming (up to two years), and costly

Engineering Contradiction:
Improvecompleteness of PCI analysis coverageVSAvoidanalysis time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent segments the continuous operational history and parameter space into discrete statepoints arranged in a three-dimensional grid. This segmentation allows the analysis to focus on specific representative states rather than continuously evaluating all possible rod histories, thereby reducing computational burden while maintaining comprehensive coverage of critical scenarios

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces a third dimension (xenon distribution) to the traditional two-dimensional state space of power and axial flux difference. This dimensional expansion creates a more comprehensive operating space model that captures critical PCI conditions without requiring exhaustive rod-by-rod analysis, enabling efficient identification of limiting statepoints

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Reliability

If a rod-by-rod brute force analysis method is used to evaluate PCI, then all fuel rods are individually evaluated, but the analysis becomes extremely labor intensive and costly

Engineering Contradiction:
Improvethoroughness of fuel rod evaluationVSAvoidease of analysis implementation
Core Design Contradiction:
ReliabilityVSEase of manufacture

Solution Approach 1:

The patent creates a representative model of the fuel rod population using discrete statepoints in a three-dimensional parameter space. Instead of analyzing each individual rod, the methodology uses copied representative states that capture the essential behavior of all rods under various conditions, significantly reducing implementation complexity while maintaining evaluation thoroughness

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent transforms the analysis from individual rod evaluation to parameter-space evaluation by changing the fundamental parameters from rod-specific identifiers to three-dimensional state parameters (power, axial flux difference, xenon distribution). This parameter transformation enables systematic evaluation of all fuel rods through a unified statepoint model, greatly simplifying implementation

Inventive Principle:
Principle #35Parameter changes

3Adaptability or versatility

If the core or operational limits of the reactor change, then the analysis must be redone using the brute force method, but this repeats the entire labor-intensive process

Engineering Contradiction:
Improveadaptability to operational changesVSAvoidanalysis efficiency
Core Design Contradiction:
Adaptability or versatilityVSProductivity

Solution Approach 1:

The patent creates a dynamic statepoint model where the three-dimensional grid of operating states can be efficiently re-evaluated when operational parameters change. The modular statepoint structure allows selective updates to affected regions of the parameter space rather than complete re-analysis, enabling rapid adaptation to core or operational limit changes while maintaining high productivity

Inventive Principle:
Principle #15Dynamics

Data Source

PatentUS8149983B2Method for analysis of pellet-cladding interaction
Publication Date: 2012.04.03 WESTINGHOUSE ELECTRIC CORP
  • US8149983B2 patent drawing
  • US8149983B2 patent drawing
  • US8149983B2 patent drawing

AI summary

A method is provided for evaluating pellet-cladding interaction (PCI) in a nuclear core having a reactor protection system and a plurality of elongated fuel rods each having fuel surrounded by cladding with a gap therebetween. The method includes: selecting a number of core parameters to be analyzed; evaluating the selected parameters at a plurality of statepoints; generating a model of an operating space of the core based, at least in part, upon the statepoints; selecting a subset or loci of statepoints from the model wherein each of the statepoints of the loci of statepoints, when subjected to a predetermined transient, falls within the operational limits of the reactor protection system; and evaluating the loci of statepoints for PCI in response to the transient. In this manner, the potential for PCI can be accurately determined without requiring every statepoint for every fuel rod in the core to be individually analyzed.