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Study on Computation Algorithm for Horizontal Tank Volume Table Based on Volumetric Method |
WANG Jin-tao,LIU Zi-yong,GUO Li-gong,TONG Lin,BAO Xue-song,ZHANG Long |
National Institute of Metrology, Beijing 100013, China |
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Abstract Based on the introduction on the principle of horizontal tank volumetric calibration method, four algorithms for volume table from discrete V-H data points were discussed, which are Lagrange interpolation method, piece-wise linear interpolation method, cubic polynomial fitting method and cubic spline interpolation method. A 30m3 horizontal tank is used as experimental object. Experimental result shows that the computation results of four algorithms have good con-sistence among the middle liquid level interval; for the total interval, the precision and stability of cubic spline interpolation method is best, and the maximal deviation was 23.0 L, compared to the middle of total interval, there existed bigger deviation at the lower and upper ends when Lagrange interpolation method, piecewise linear interpolation method and cubic polynomial fitting method were used; at the lower and upper ends of total interval, the computation error of Lagrange method is bigger than that of the cubic spline method due to the rim oscillation.
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