An Estimation of Unsteady Flowrate and Pressure in a Pipe using Kalman Filter

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  • カルマンフィルタを用いた管内非定常流量・圧力の推定
  • カルマンフィルタ オ モチイタ カン ナイ ヒテイジョウ リュウリョウ ・ アツリョク ノ スイテイ

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Abstract

In this study, an experimental method of estimating fluid transients by combining a steady-state Kalman filter and an optimized finite element model of pipeline dynamics is discussed. In this method, spatiotemporal distributions of not only the flow rate but also the pressure in a pipe can be estimated from pressure at three points. Furthermore, fluid transients can be estimated without accurate setting of initial conditions, and it is also possible to exclude sensor noise in estimating the pressure and flow rate from the measured pressure including the noise. Steady flow rate was first estimated online in real time. The estimated flow rate was compared with the flow rate measured by a flow sensor. This confirmed that the estimated result coincide with the measurement result well. Next, unsteady flow rate and pressure were estimated offline. For comparison, unsteady flow rates and pressures were simulated with the method of characteristics using the same data. Unsteady pressure was also measured by pressure sensor. This comparison confirmed that the unsteady flow rate and pressure can be estimated even though the input includes sensor noise. Finally, estimation of the pressures and flow rates at uniformly spaced grid points in a pipe were discussed. The estimates showed good agreement with the simulation results. Therefore, it was confirmed that the spatiotemporal distributions of pressure and flow rate can be precisely estimated with the Kalman Filter.

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