Combustion Oscillation Estimation Using Global Transfer Matrix
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Solution Overview
Problem
Conventional thermoacoustic analysis models inaccurately estimate combustion oscillation and thermoacoustic instability in combustion chambers, particularly when multiple burners are involved, due to simplified assumptions and limited data usage, leading to critical errors and inability to analyze complex systems effectively.
Innovation Solution
A combustion oscillation estimating apparatus that uses a control unit to detect pressure in the combustion chamber by calculating an eigenvalue based on shape-related data from the burner, temperature distribution, and flame shape, employing a global matrix that sums transfer matrices representing burner, shape change, temperature distribution, and flame shape data, allowing for accurate estimation of oscillation frequencies and instability.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If conventional thermoacoustic analysis models use simplified assumptions (Sondhauss and Rijke tube model) to estimate combustion oscillation, then the analysis process is simplified, but estimation accuracy deteriorates due to critical errors between actual experiment results and estimation results
Solution Approach 1:
The patent changes the parameters used in the analysis model from simplified assumptions to actual measured data including inlet pressure, temperature distribution, and flame shape. This allows the model to accurately represent the complex combustion chamber geometry and thermal fields while maintaining a systematic analysis approach.
Solution Approach 2:
The patent creates a computational model that copies the actual physical system's geometry and conditions. By using measured inlet pressure, temperature distribution, and flame shape data to construct the analysis model, it replicates the real combustion chamber conditions without requiring simplified assumptions.
2Ease of operation
If conventional models determine only the frequency of combustion oscillation, then the analysis is straightforward, but thermoacoustic instability cannot be estimated without separately utilizing experimental instability curves
Solution Approach 1:
The patent merges the frequency determination and instability estimation into a single integrated computational model. By solving the eigenvalue problem of the transfer matrix, the system simultaneously obtains both the combustion oscillation frequency and the instability characteristics, eliminating the need for separate experimental curves.
Solution Approach 2:
The patent replaces the need for separate experimental instability curves with a computational approach. The eigenvalue analysis of the transfer matrix provides instability information directly from the system's physical parameters, substituting mechanical experimentation with mathematical analysis.
3Device complexity
If conventional thermoacoustic analysis models analyze only one burner, then the model is simple to implement, but it cannot estimate combustion oscillation in combustion chambers with multiple burners
Solution Approach 1:
The patent creates a universal analysis model that can handle both single-burner and multi-burner configurations. The transfer matrix formulation and eigenvalue analysis approach remain the same regardless of the number of burners, allowing the system to adapt to different combustion chamber configurations without requiring separate models.
Data Source
AI summary
Disclosed herein is a combustion oscillation estimating apparatus which estimates combustion oscillation in a combustion chamber connected with a burner so that a flame is injected by the burner, the combustion oscillation estimating apparatus including an input unit which receives data including an inlet pressure of the burner, and a control unit which detects a pressure in the combustion chamber based on a shape from the burner to the combustion chamber, a temperature distribution in the combustion chamber, and a shape of the flame. The combustion oscillation estimating apparatus may improve estimation accuracy of the combustion oscillation in the combustion chamber.