Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Mathematical Method of Rational Placement of Gas Fire Sensors

Version 1 : Received: 30 August 2023 / Approved: 30 August 2023 / Online: 31 August 2023 (08:44:07 CEST)

A peer-reviewed article of this Preprint also exists.

Petrov, A. Mathematical Method of Rational Placement of Gas Fire Sensors. Sensors 2023, 23, 8349. Petrov, A. Mathematical Method of Rational Placement of Gas Fire Sensors. Sensors 2023, 23, 8349.

## Abstract

Ensuring fire safety is an important condition for the successful operation of industrial enterprises. It is necessary to detect the threat of fire before ignition. An indicator of danger is the appearance of gas, which occurs as a result of unauthorized heating of equipment. Gas sensors make it possible to detect the appearance of gases characteristic of the decomposition of materials at the stage of smouldering and pyrolysis, which cause a change in the composition of the atmosphere. This paper presents a mathematical method for the rational placement of gas analyzers for premises of potentially hazardous industries. It is the rational placement of gas sensors, which ensures safety, taking into account economic feasibility that determines the effectiveness of their use. For the first time, the analysis of gas accumulation during the movement of the flow from the source to the ceil-ing, then propagation to the location of the sensors, is used for the first time to select the placement of gas sensors. Depending on the permissible values of the gas volume, the placement and number of gas sensors are selected. The calculation of the conditions for the rational placement of gas sen-sors for the most common indicators, such as carbon monoxide and hydrogen at different sizes and heights of rooms, is carried out. The method of calculating the location of gas analyzers makes it possible to diagnose and predict fire hazard at technological facilities on the basis of gas control, and compare the obtained values with the maximum permissible values. This method provides cal-culation of the coordinates of the gas source from the coordinates of the triggered sensors. Knowing the coordinates of all sensors, the coordinates of the sensors that gave the alarm, and the formula for determining the volume of the gas cloud under these sensors, it is possible to assess the localization of the source of dangerous gas in the protected room. This increases the efficiency of the fire safety system. The method makes it possible to control the layout of sensors depending on the volume of protected premises, types of production, the creation of new sensors, changes in the composition of hazardous gas in different technological conditions.

## Keywords

Gas Sensors; Mathematical Model; Rational Location; Automated System; Early Fire Detection; Gas Control Systems.

## Subject

Computer Science and Mathematics, Security Systems