Research article

Remote water meter calibration based on weighted least squares algorithm

¹ College of Quality and Safety Engineering, China Jiliang University, Hangzhou, PR China
² Ningbo Metrology and Testing Institute, Block E, Jiangnan Road, No.1588, 315048 Zhejiang, China

^* Corresponding author: zhoujuan@cjlu.edu.cn

Received: 18 July 2023
Accepted: 4 July 2024

Abstract

In response to issues such as poor-fitting accuracy in the remote water meter measurement curve, unsatisfactory fitting effects, and challenges in depicting real data characteristics, a weighted least squares algorithm is proposed based on the remote water meter measurement error curves. Firstly, we have combined the remote water meter measurement error formula with the traditional least squares algorithm to generate an integrated algorithm. Subsequently, the weighting theory is introduced into the integrated mathematical model. The polynomial fitting curve parameters are then calculated by assigning different weights to the data under various flow rates. Simulation experiments are also conducted, demonstrating that the proposed algorithm exhibits higher curve fitting accuracy compared to the conventional least square method. It can accurately analyze the metering performance of remote water under different working conditions and precisely measure its metering error.