V. Durieiev, V. , S. Bondarenko, O. Antoshkin, S. Yakukhin, О. Derevyanko Modeling the operation of a heat fire detector with the dependence of magnetic induction on temperature. P. 160-176.

Modeling the operation of a heat fire detector with the dependence of magnetic induction on temperature.

 

Durieiev Viacheslav

National University of Civil Protection of Ukraine

https://orcid.org/0000-0002-7981-6779

 

Oliinyk Volodymyr

National University of Civil Protection of Ukraine

http://orcid.org/0000-0002-5193-1775

 

Bondarenko Serhiy

National University of Civil Protection of Ukraine

https://orcid.org/0000-0002-4687-1763

 

Antoshkin Oleksiy

National University of Civil Protection of Ukraine

https://orcid.org/0000-0003-2481-2030

 

Yakukhin Serhiy

National University of Civil Protection of Ukraine

https://orcid.org/0009-0001-0224-0513

 

Derevyanko Oleksandr

National University of Civil Protection of Ukraine

https://orcid.org/0000-0002-3602-2055

 

DOI: https://doi.org/10.52363/2524-0226-2026-43-10

 

Keywords: detector, sensitive element, mathematical model, ferrite, time constant, operating parameters, inertia

 

Аnnotation

 

A mathematical model of a fire detector based on the principle of magnetic induction depend-ence on temperature is presented. The dynamics equations of the detector are given, taking into ac-count the magnetic properties of the ferrite contacts of the sensitive element, the conditions of heat exchange with the environment, the parameters of magnetization, magnetic induction, the type and structure of the material of the contacts that affect the operation of the detector. A characteristic fea-ture of the mathematical model of the detector is the comprehensive consideration of the influence of the magnetic properties and characteristics of the ferrite material of the contacts on the detector oper-ation parameters. The dynamics equations obtained from the mathematical model of the detector de-scribe its operation in transient modes and represent first-order inertial links written in relative varia-bles with constant coefficients. Magnetic induction and magnetization of contacts are represented by relative variables, inertia and gain are taken into account by constant values. Dynamics equations al-low for a convenient study of the operation of a fire detector and to perform parametric calculations of its triggering parameters, taking into account the dependence of the magnetic properties of the contacts of the sensitive element on the temperature and structure of the ferrite material of the con-tacts. The obtained results of calculations of the detector triggering parameters confirm the correct-ness of the adopted hypothesis. The difference in the temperature and triggering time obtained in the calculations does not exceed 5 % of the experimental data. As a limitation of the use of the presented model, the use in calculations of the specified parameters of the magnetic field of a permanent mag-net, the characteristics of the substance of ferrite contacts, the determined dependences of the mag-netic induction of contacts on temperature and conditions of convective heat exchange of the detec-tor with the surrounding environment is used. As constructive ways to improve the detector’s operat-ing parameters, recommendations are given on the structure of the sensitive element, namely, in-creasing the total area of thermal contact to improve the conditions of convection heat transfer, re-ducing the mass of the sensitive element contacts to reduce the inertia, time and temperature of de-tector operation.

 

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Received by the editorial board: 10.03.2026

Accepted for publication: 13.04.2026

Date of publication (release): 31.05.2026

 

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