MATHEMATICAL MODEL OF FIRE SAFETY RADIO MONITORING SYSTEM OPERATION OF POWER ENGINEERING FACILITIES

Author(s):  
A. Ivannikov ◽  
◽  
V. Zykov ◽  
O. Vatyukova ◽  
V. Uvarkin ◽  
...  
2021 ◽  
Vol 91 ◽  
pp. 8-18
Author(s):  
V. S. Butko ◽  

Introduction. The article presents a mathematical model of the functioning of fire monitoring systems for critical facilities of the oil and gas industry, based on wireless technologies. A multifactor criterion has been developed based on reliability (probability of fail-free operation), noise immunity, service area, efficiency of information transfer, economic feasibility of its use, and the network efficiency. Goals and objectives. Organization of a radio communication network in the fire monitoring system of critical facilities, depending on the required information load and the number of protected facilities in the oil and gas industry. Ensuring continuous monitoring of the security of facilities and timely transmission of information to emergency services. Ensuring the operation of the network to alert the population about possible danger. Methods. To form a multivariate criterion model were used: methods of mathematical modeling of network states to determine the criteria for evaluating a multivariate model, methods of expert assessment to determine the weights of network characteristics, methods of constructing probabilistic systems. Results and its discussion. A generalized criterion has been developed for quantitative assessment of functioning a wireless monitoring system of fire safety of critical facilities in the oil and gas industry based on reliability (probability of failure-free operation), noise immunity, service area, efficiency of information transfer, economic feasibility of its application, and the efficiency of the network. Conclusion. a mathematical model of the functioning of a wireless fire safety monitoring system for critical objects of the oil and gas industry was built based on the modified Jaysuall relations and the provisions of its application were theoretically substantiated, which makes it possible to organize radio communication networks in the fire monitoring system of critical objects, depending on the required information load and the number of protected objects in the oil and gas industry. A generalized (multifactorial) criterion is also proposed to quantitatively assess the functioning of a wireless monitoring system for fire safety of critical facilities in the oil and gas industry and choose the most optimal system in terms of choosing the best technical and operational indicators and economic feasibility. Keywords: oil and gas facilities, critical facilities, wireless monitoring system, queuing system, stream of events, fire safety, mathematical model, fire alarm, communication channels


Author(s):  

A nonlinear system, which consists of an inverted pendulum mounted on a cart with an electric drive, is considered. A mathematical model is created, its analysis and modeling of the investigated two-dimensional system operation is carried out. Keywords mathematical model; inverted pendulum; system analysis; state space


Author(s):  
Anatoly Rembovsky ◽  
Alexander Ashikhmin ◽  
Vladimir Kozmin ◽  
Sergey Smolskiy

2021 ◽  
Vol 1 (2) ◽  
pp. 36-50
Author(s):  
A.N. Malyshev ◽  
◽  
YE.A. Grunenkov ◽  
V V. Debelov ◽  
M.D. Mizin ◽  
...  

The paper presents the results of mathematical and simulation modeling, as well as calculated and experimental dependencies, which make it possible to evaluate the operation of the insulation resistance monitoring system of the high-voltage power grid of a hybrid vehicle. The work also provides circuits for measuring insulation resistance, a mathematical model in the MATLAB Sim-ulink environment, and the peculiarities of the operation of the software and hardware simulation complex. The aim of the work is to obtain the most reliable mathematical and physical model of insulation resistance, to determine the architecture of a high voltage battery with the IRM system included in it, to identify the key functions and characteristics of the IRM system, to test the simulation system. The introduction justifies the importance of the IRM system and provides references to standards that govern the requirements for measuring and identifying utility faults. The block diagram of the high voltage battery control system is presented. The composition of its main elements is described. The functions and key characteristics of the IRM system are considered, typical characteristics of insulation monitoring systems are given. A schematic diagram of determining the insulation resistance of conductors and an electric circuit is clearly considered. An equivalent circuit of a differential DC amplifier with a unipolar power supply is presented, which is used to amplify small differential voltages on a shunt when changing large common-mode voltages, which is part of the measuring circuit. Mathematical and simulation modeling was carried out to evaluate the method for calculating the insulation resistance according to the well-known scheme, which is used when measuring using the three-voltmeter method. There was considered the mode of checking the the insulation control system, when several test procedures performed containing simulation of the fault and operating condition of the insulation by connecting and measuring the test resistance. The results of physical simulation of the IRM system and measurement of insulation resistance, voltage between each of the high voltage supply wires and the high voltage battery case, voltage between the wires, battery voltage were obtained. The actual insulation resistance was calculated. The conclusions explain the effectiveness of physical and simulation modeling, obtaining a reliable mathematical model and low error in modeling the insulation characteristics.


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