Elastic Matrix Determination for Laminated Iron Core Vibration Analysis
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Solution Overview
Problem
Existing methods for determining the elastic matrix and modulus of rigidity in laminated iron cores, particularly in transformers, fail to accurately reflect the mechanical vibration characteristics, leading to significant differences between calculated and actual measurement values, due to the lack of consideration for slip between laminated steel sheets.
Innovation Solution
An elastic matrix determination method that involves creating a testing iron core, measuring its natural frequency, and iteratively estimating and determining the shear and elastic moduli by performing structural analysis multiple times, taking into account slip between laminated steel sheets, to accurately set the elastic matrix for vibration analysis.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If the elastic modulus of the electrical steel sheet is applied directly as the elastic modulus of the laminated iron core in structural analysis, then the analysis process is simple, but the calculated vibration characteristics differ significantly from actual measurement values
Solution Approach 1:
The patent transforms the elastic modulus parameter from a directly applied material property to an equivalent parameter that accounts for slip between laminated steel sheets. By introducing an equivalent elastic modulus that incorporates slip effects, the analysis maintains simplicity while achieving accurate vibration characteristic predictions.
Solution Approach 2:
The patent introduces an intermediary concept of 'equivalent elastic modulus' that mediates between the simple direct application method and the complex physical reality of slip between laminations. This equivalent parameter serves as a bridge, allowing standard structural analysis methods to produce accurate results without requiring complex modeling of inter-lamination slip.
2Measurement precision
If slip between laminated steel sheets is considered in the elastic matrix determination, then the accuracy of vibration analysis is improved, but the determination process becomes more complex
Solution Approach 1:
The patent changes the approach from determining multiple complex parameters (including shear modulus and elastic modulus separately) to determining a single equivalent elastic modulus parameter. This parameter transformation simplifies the determination process while maintaining accuracy in vibration analysis by incorporating slip effects into one comprehensive parameter.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach effectively reduces the difference between calculated and actual vibration characteristics by properly accounting for slip, thereby improving the accuracy of vibration analysis and design in transformer manufacturing.
Implementation Method 1
The grain orientated electrical steel sheet has material expansion and contraction due to excitation called magnetostriction, and the magnetostrictive vibration under excitation is said to be a main cause of transformer noise.
Implementation Method 2
an elastic matrix determination method and a vibration analysis method in a configuration expression indicating a relationship between stress and strain in elastic deformation of an iron core
Data Source
AI summary
An elastic matrix determination method and a vibration analysis method for a laminated iron core, with which it is possible to optimally determine an elastic modulus of a laminated iron core. When a vibration analysis of a laminated iron core obtained by laminating steel sheets is performed by using a configuration expression indicating a relationship between stress and strain in a matrix display by using an elastic matrix, a shear modulus in two surfaces including a laminating direction of the laminated iron core included in the elastic matrix in the configuration expression is determined in consideration of slip between laminated steel sheets.