Two phase fluid phase concentration measuring method based on main component analysis and neuron network
A neuron network and principal component analysis technology, which is applied in the analysis of materials, material capacitance, instruments, etc., can solve the problem that the measurement results depend on image reconstruction algorithms, etc.
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[0033] The implementation steps of the two-phase flow concentration measurement method based on principal component analysis will be introduced in detail below. image 3 Shown is a circular array capacitive sensor of an electrical capacitance tomography system, and 8 electrodes are evenly distributed on the outer wall of a plastic pipe. The independent capacitance measurement for this system is C 8 2 = 28 pieces.
[0034] Assuming that there are N sets of capacitance measurement raw data, the sample matrix X can be obtained after regularizing the sample data Its correlation matrix (covariance matrix) is:
[0035] The 28 eigenvalues of the matrix R and their corresponding eigenvectors can be obtained by calculation. Suppose the largest eigenvalue is λ 1 , and its corresponding eigenvector is L 1 , then for any set of capacitance measurements x can be obtained:
[0036] the y 1 = L 1 *x (3)
[0037] the y 1 is the first principal component of the system.
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