title: ÐÐµÑÑÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð·Ð°Ð´Ð°ÑÐ¸ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ¾Ð²Ð¼ÐµÑÑÐ½ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¹ Ð²ÐµÑÐµÑÑÐ² Ð² Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð³Ð°Ð·Ð¾Ð²Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°
title: Metrological analysis of the data reconciliation results of joint substance concentrations measurements in multichannel gas analysis systems
Creators: name: ÐÐ°ÑÐ°Ð½Ð¸Ð½, ÐÐ»Ð°Ð´Ð¸Ð¼Ð¸Ñ
name: "Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (26; 2022; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2023
Subjects: ÐÐ°Ð·Ð¾Ð²ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
ÐÐµÑÑÐ¾Ð»Ð¾Ð³Ð¸Ñ
ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸Ð·Ð¼ÐµÑÐ¸ÑÐµÐ»ÑÐ½ÑÐµ
ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð°Ð½Ð½ÑÑ
Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ðµ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸
data reconciliation
accuracy increase

description: ÐÐ´Ð½Ð¸Ð¼ Ð¸Ð· Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿ÑÐ¾ÑÐµÐ´ÑÑÐ° ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼ÐµÐ¶Ð´Ñ ÑÐ¾Ð±Ð¾Ð¹ Ð¿Ð¾ Ð¸Ð·Ð²ÐµÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸Ð·Ð¼ÐµÑÑÐµÐ¼Ð¾Ð³Ð¾ Ð¾Ð±ÑÐµÐºÑÐ°. ÐÐ»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¼ÐµÑÑÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð·Ð¼ÐµÑÐ¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ¸ÑÑÐ°ÑÐ¸Ð¹, Ð´Ð¾Ð¿ÑÑÐºÐ°ÑÑÐ¸Ñ ÑÑÐµÑ Ð°Ð¿ÑÐ¸Ð¾ÑÐ½Ð¾ Ð¸Ð·Ð²ÐµÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾Ð±ÑÐµÐºÑÐ° Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹, Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð·Ð° ÑÑÐµÑ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÑÑÐ¼ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð¼ÐµÐ¶Ð´Ñ ÑÐ¾Ð±Ð¾Ð¹. ÐÐ¾Ð»ÑÑÐµÐ½Ñ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ»ÑÑÐ°Ñ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ Ð°Ð»Ð³ÐµÐ±ÑÐ°Ð¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹, Ð² Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¸, ÑÑÐ¾ ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¸ Ð¼ÐµÐ¶Ð´Ñ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÐ¼Ð¸ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÑÐ¼Ð¸ Ð¾ÑÑÑÑÑÑÐ²ÑÑÑ Ð¸Ð»Ð¸ Ð¸Ð¼Ð¸ Ð¼Ð¾Ð¶Ð½Ð¾ Ð¿ÑÐµÐ½ÐµÐ±ÑÐµÑÑ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¼ÐµÑÑÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð° Ð´Ð»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐµÐ¹ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¹ Ð²ÐµÑÐµÑÑÐ² Ð² Ð³Ð°Ð·Ð¾Ð²Ð¾Ð¹ Ð¿ÑÐ¾Ð±Ðµ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð³Ð°Ð·Ð¾Ð²Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°ÑÐ¾ÑÐ°, Ð¿ÑÐ¾ÑÐµÐ´ÑÑÑ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð²ÐºÐ»ÑÑÐ°ÑÑ Ð² ÑÐµÐ±Ñ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð°Ð½Ð½ÑÑ.
description: One way to increase the accuracy of measurements is to reconcile the results obtained with each other using the known mathematical model of the object under measuring. We proposed a method for the metrological analysis of such a data processing procedure's results. We derived the analytical expressions for variances of reconciled values and the accuracy increase ratios related to the reconciliation procedure. These expressions are valid for stationary systems mathematically described by a system of algebraic equations under the assumption that there are no correlations between random errors, or we can neglect them. We analyzed the case of a multichannel gas analyzer with implemented reconciliation procedure with the proposed algorithm. Corresponded standard deviations and potential accuracy improvement were estimated.