Turbine Rotor Axial Deformation Calculation
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Solution Overview
Problem
Conventional methods for calculating axial deformation of turbine rotors are complex and require a significant amount of calculation, making them inefficient for practical application.
Innovation Solution
A system that sets measurement points on the rotor disk, detects radial displacement using a displacement gage, calculates the most probable circle from these measurements, and determines misalignment data to simplify the calculation of axial deformation, allowing for easy correction of misalignment.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional methods are used to calculate axial deformation of turbine rotors, then measurement precision is improved, but device complexity and calculation time increase significantly
Solution Approach 1:
The rotor disk is divided into multiple measurement points (at least four) around its circumference. By segmenting the measurement into discrete points and calculating a most probable circle from these segments, the system achieves accurate axial deformation measurement while simplifying the overall calculation process compared to continuous measurement methods.
Solution Approach 2:
The patent uses simple displacement gauges at multiple measurement points rather than complex continuous measurement systems. Each measurement point provides discrete data that is used once to calculate the most probable circle, eliminating the need for expensive, complex continuous measurement equipment while maintaining measurement precision.
2Measurement precision
If conventional calculation methods are used for axial deformation, then measurement precision is improved, but loss of time increases due to significant calculation requirements
Solution Approach 1:
The system pre-calculates the most probable circle from the measured points before performing the final misalignment calculation. This preliminary action of establishing the reference circle simplifies subsequent calculations and reduces the time required for determining misalignment data, while maintaining measurement precision.
Solution Approach 2:
The patent measures at more points than the minimum three required to define a circle (using at least four measurement points). This excessive measurement provides redundant data that improves precision through the most probable circle calculation, while the systematic approach keeps calculation time manageable by avoiding unnecessary measurements.
3Ease of manufacture
If rotor disks are assembled without correction, then ease of manufacture is improved, but reliability decreases due to axial deformation and shaft vibration
Solution Approach 1:
The system enables operators to self-correct axial deformation by providing clear misalignment data and identification of which rotor disk requires correction. The calculation system serves itself by automatically determining the most probable circle and quantifying deviations, eliminating the need for complex external alignment equipment while ensuring reliable shaft operation.
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 method simplifies the calculation of axial deformation, reduces the computational burden, and enables accurate determination of misalignment, facilitating easier correction and minimizing axial deformation in turbine rotors.
Implementation Method 1
a deflection amount detection part deriving radial displacement amounts of the turbine rotor for at least four or more measurement points along an outer surface in a circumferential direction of the turbine rotor based on measured values measured by a displacement gage
Data Source
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AI summary
There is provided a system for calculating axial deformation of a turbine rotor by a simpler method than conventional methods. The system for calculating axial deformation of a turbine rotor includes: an input part that sets measurement points of a rotor disk that constitutes the turbine rotor; a deflection amount detection part that derives radial displacement amounts of the turbine rotor for at least four or more measurement points along an outer surface in a circumferential direction of the turbine rotor based on measured values measured by a displacement gage; a storage part that stores the radial displacement amounts derived by the deflection amount detection part and measured angles at the measurement points; and a calculation part that calculates misalignment data of a most probable circle of the turbine rotor based on data stored in the storage part, wherein the calculation part includes a misalignment calculation part that calls up all the measurement points stored in the storage part, selects three arbitrary points to calculate a calculated circle from the radial displacement amounts and the measured angles, calculates calculated circle values for the measurement points from the calculated circle, calculates differences between the calculated circle values and the radial displacement amounts as error amounts at the measurement points, sums the error amounts to derive a total error amount value, calculates total error amount values for combinations of three measurement points among all the measurement points, selects a minimum calculated circle among obtained total error amount values for all combinations as a most probable circle, and calculates deviation between the center of the most probable circle and the center of rotation of the turbine rotor as the misalignment data of the most probable circle, a misalignment determination part that calculates a maximum misalignment amount with reference to the misalignment data of the most probable circle for all the rotor disks to determine whether the maximum misalignment amount is within a reference value or not, and a calculation part for the distribution of axial deformation that calculates the distribution of axial deformation from the misalignment data of the most probable circle.