Оlexander Zakora
National University of Civil Defenсe of Ukraine
http://orcid.org/0000-0001-9042-6838
Andrew Feshchenko
National University of Civil Defenсe of Ukraine
http://orcid.org/0000-0002-4869-6428
DOI: https://doi.org/10.52363/2524-0226-2022-36-10
Keywords: RTLS-system, local positioning, translucent barrier, geometric factor, propagation of radio waves
Аnnotation
A mathematical model of the main types of translucent barriers of the differential-range-measurement system of local positioning has been developed, which allows for real-time forecasting of the working area of the system in the vicinity of an emergency situation. The characteristics of translucent barriers, which determine the quality of positioning and the accuracy characteristics of the system, are taken into account. To simplify the modeling, a number of assumptions are made regarding the parameters of the obstacles and the conditions of radio wave propagation, which make it possible to simplify the forecasting process. On the basis of the conducted research, classification and methods of mathematical description of the main types of barriers are proposed, which is proposed to be used as the basis of a mathematical forecasting model. On the basis of this classification, calculation algorithms and a program for operational forecasting of the working zone of local positioning have been developed, which allows taking into account the influence of the number of obstacles, the geometry of their location, and the properties of the radio wave propagation path on the shape of the working zone. In the modeling process, both geometric and general physical regularities of the formation of the field of radio navigation support are taken into account. A study of the operation of the modeling system in the presence of several radio beacons, with the presence of several construction barriers of different shapes and with different properties within the working area, was conducted. The developed mathematical model allows for the calculation of positioning zones with the determination of the limit conditions of reliability and accuracy of navigation support for rescuers. Taking into account the process of forecasting the impact of the shape and properties of obstacles in the emergency zone on the type and size of the working zone of the positioning system allows the head of emergency response works to make a justified management decision, ensure safe working conditions for rescuers and optimize the organization of work for the fastest emergency response.
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