An adaptive weighted integration method for multipath ultrasonic flowmeter

Abstract The error introduced by the integration method is an important factor affecting the measurement accuracy of the multipath ultrasonic flowmeter. An adaptive weighted integration method (adaptive weighted integration method for velocity profile of circular section) is proposed to reduce the integration error, taking a DN400 double-side eight-path ultrasonic flowmeter as an example. This method is based on the velocity distribution information in the full flow range and the integration weights are determined by the principle of minimum error. The applicability of this method is verified by numerical simulation and actual fluid flow experiments. The results show that the integration error of the proposed method is superior to the Gauss–Jacobi and optimized weighted integration method for circular section integration methods, and the maximum integration error is reduced from 0.0877% and −0.0355% to 0.0220% in the flow range of 125–2500 t h −1 .