DOI: https://doi.org/10.15587/1729-4061.2018.142995

Analysis of correlation dimensionality of the state of a gas medium at early ignition of materials

Boris Pospelov, Vladimir Andronov, Evgeniy Rybka, Ruslan Meleshchenko, Stella Gornostal

Abstract


We have considered the application of the method of nonlinear dynamic systems in order to analyze and detect the structural patterns in the dynamics of increments in the state of a gas medium generated by early ignitions of materials in a non-sealed chamber. The research method is based on analysis of the correlation dimensionality of increments in the state of a gas medium during ignition of materials. We have theoretically justified the method for evaluating the dynamics of correlation dimensionality of increments in the state of a gas medium at ignition. The considered method for CD evaluation is based on the computation of the Grassberger-Procaccia correlation integral, applied to the gas medium state increments using a sliding window with a fixed width. That allowed us to derive a current estimate of CD increments in the state of the gas medium during ignition of flammable materials in a chamber synchronized with the observation data acquisition rate. We have analyzed the dynamics of correlation dimensionality of increments in the state of a gas medium at early ignition of alcohol, paper, wood, and textiles in a simulation chamber. It was established that for the investigated state of the gas medium during ignition of various examined materials, the dynamics of correlation dimensionality is within 0.1 to 0.6. It is noted that this fact testifies to the fractal structure of the considered increments in the state of a gas medium in a chamber and its chaotic dynamics at the emergence of ignition sites of tested materials. In this case, the fractal structure is not the same, suggesting a "transitional chaos" in the examined state of the gas medium. It was established that current estimates of the correlation dimensionality of increments in the state at the time of materials ignition tend to a sharp increase. A given fact can be used to reliably detect early fires indoors. The results obtained are important for the in-depth studying and understanding of patterns in the structure of dynamics of increments in the state of a gas medium at early ignition. It has been shown the increments in the states of a gas medium at premises characterize it as a chaotic dynamic system with a small fractal dimensionality as opposed to the traditional approach assuming a gas medium being either deterministic or random system

Keywords


correlation dimensionality; increments in the state; gas medium; early ignition

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References


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Shafi, I., Ahmad, J., Shah, S. I., Kashif, F. M. (2009). Techniques to Obtain Good Resolution and Concentrated Time-Frequency Distributions: A Review. EURASIP Journal on Advances in Signal Processing, 2009 (1). doi: https://doi.org/10.1155/2009/673539

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Pretrel, H., Querre, P., Forestier, M. (2005). Experimental Study Of Burning Rate Behaviour In Confined And Ventilated Fire Compartments. Fire Safety Science, 8, 1217–1228. doi: https://doi.org/10.3801/iafss.fss.8-1217

Pospelov, B., Andronov, V., Rybka, E., Popov, V., Romin, A. (2018). Experimental study of the fluctuations of gas medium parameters as early signs of fire. Eastern-European Journal of Enterprise Technologies, 1 (10 (91)), 50–55. doi: https://doi.org/10.15587/1729-4061.2018.122419

Stankovic, L., Dakovic, M., Thayaparan, T. (2014). Time-frequency signal analysis. Kindle edition, Amazon, 655.

Avargel, Y., Cohen, I. (2010). Modeling and Identification of Nonlinear Systems in the Short-Time Fourier Transform Domain. IEEE Transactions on Signal Processing, 58 (1), 291–304. doi: https://doi.org/10.1109/tsp.2009.2028978

Giv, H. H. (2013). Directional short-time Fourier transform. Journal of Mathematical Analysis and Applications, 399 (1), 100–107. doi: https://doi.org/10.1016/j.jmaa.2012.09.053

Pospelov, B., Andronov, V., Rybka, E., Popov, V., Semkiv, O. (2018). Development of the method of frequency­temporal representation of fluctuations of gaseous medium parameters at fire. Eastern-European Journal of Enterprise Technologies, 2 (10 (92)), 44–49. doi: https://doi.org/10.15587/1729-4061.2018.125926

Mandel'brot, B. (2002). Fraktal'naya geometriya prirody. Moscow: Institut komp'yuternyh issledovaniy, 656.

Andronov, V., Pospelov, B., Rybka, E., Skliarov, S. (2017). Examining the learning fire detectors under real conditions of application. Eastern-European Journal of Enterprise Technologies, 3 (9 (87)), 53–59. doi: https://doi.org/10.15587/1729-4061.2017.101985


GOST Style Citations


Vasiliev M. I., Movchan I. O., Koval O. M. Diminishing of ecological risk via optimization of fire-extinguishing system projects in timber-yards // Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2014. Issue 5. P. 106–113.

Mathematical model of the efficiency of diesel particulate matter filter / Kondratenko O. M., Vambol S. O., Strokov O. P., Avramenko A. M. // Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2015. Issue 6. P. 55–61.

Vasyukov A., Loboichenko V., Bushtec S. Identification of bottled natural waters by using direct conductometry Ecology // Environment and Conservation. 2016. Vol. 22, Issue 3. P. 1171–1176.

The usage of high speed impulse liquid jets for putting out gas blowouts / Semko A. N., Beskrovnaya M. V., Vinogradov S. A., Hritsina I. N., Yagudina N. I. // Journal of Theoretical and Applied Mechanics. 2014. Vol. 52, Issue 3. P. 655–664.

Numerical simulation of the creation of a fire fighting barrier using an explosion of a combustible charge / Dubinin D., Korytchenko K., Lisnyak A., Hrytsyna I., Trigub V. // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 6, Issue 10 (90). P. 11–16. doi: https://doi.org/10.15587/1729-4061.2017.114504 

The use of pulsed high-speed liquid jet for putting out gas blow-out / Semko A., Rusanova O., Kazak O., Beskrovnaya M., Vinogradov S., Gricina I. // The International Journal of Multiphysics. 2015. Vol. 9, Issue 1. P. 9–20. doi: https://doi.org/10.1260/1750-9548.9.1.9 

System approach for readiness assessment units of civil defense to actions at emergency situations / Tiutiunyk V. V., Ivanets H. V., Tolkunov I. A., Stetsyuk E. I. // Scientific Bulletin of National Mining University. 2018. Issue 1. P. 99–105. doi: https://doi.org/10.29202/nvngu/2018-1/7 

Studying the recurrent diagrams of carbon monoxide concentration at early ignitions in premises / Pospelov B., Andronov V., Rybka E., Meleshchenko R., Borodych P. // Eastern-European Journal of Enterprise Technologies. 2018. Vol. 3, Issue 9 (93). P. 34–40. doi: https://doi.org/10.15587/1729-4061.2018.133127

Turcotte D. L. Fractals and chaos in geology and geophysics. Cambridge university press, 1997. doi: https://doi.org/10.1017/cbo9781139174695 

Poulsen A., Jomaas G. Experimental Study on the Burning Behavior of Pool Fires in Rooms with Different Wall Linings // Fire Technology. 2011. Vol. 48, Issue 2. P. 419–439. doi: https://doi.org/10.1007/s10694-011-0230-0 

Zhang D., Xue W. Effect of heat radiation on combustion heat release rate of larch // Journal of West China Forestry Science. 2010. Issue 39. P. 148.

Ji J., Yang L., Fan W. Experimental study on effects of burning behaviours of materials caused by external heat radiation // JCST. 2003. Issue 9. Р. 139.

Peng X., Liu S., Lu G. Experimental analysis on heat release rate of materials // Journal of Chongqing University. 2005. Issue 28. Р. 122.

Andronov V., Pospelov B., Rybka E. Development of a method to improve the performance speed of maximal fire detectors // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 2, Issue 9 (86). P. 32–37. doi: https://doi.org/10.15587/1729-4061.2017.96694 

Design of fire detectors capable of self-adjusting by ignition / Pospelov B., Andronov V., Rybka E., Skliarov S. // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 4, Issue 9 (88). P. 53–59. doi: https://doi.org/10.15587/1729-4061.2017.108448 

Research into dynamics of setting the threshold and a probability of ignition detection by self­adjusting fire detectors / Pospelov B., Andronov V., Rybka E., Skliarov S. // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 5, Issue 9 (89). P. 43–48. doi: https://doi.org/10.15587/1729-4061.2017.110092 

Results of experimental research into correlations between hazardous factors of ignition of materials in premises / Pospelov B., Rybka E., Meleshchenko R., Gornostal S., Shcherbak S. // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 6, Issue 10 (90). P. 50–56. doi: https://doi.org/10.15587/1729-4061.2017.117789 

Bendat J. S., Piersol A. G. Random data: analysis and measurement procedures. 2th ed. John Wiley & Sons, 2010. doi: https://doi.org/10.1002/9781118032428 

Techniques to Obtain Good Resolution and Concentrated Time-Frequency Distributions: A Review / Shafi I., Ahmad J., Shah S. I., Kashif F. M. // EURASIP Journal on Advances in Signal Processing. 2009. Vol. 2009, Issue 1. doi: https://doi.org/10.1155/2009/673539 

Singh P. Time-frequency analysis via the fourier representation // HAL. 2016. URL: https://hal.archives-ouvertes.fr/hal-01303330

Pretrel H., Querre P., Forestier M. Experimental Study Of Burning Rate Behaviour In Confined And Ventilated Fire Compartments // Fire Safety Science. 2005. Vol. 8. P. 1217–1228. doi: https://doi.org/10.3801/iafss.fss.8-1217 

Experimental study of the fluctuations of gas medium parameters as early signs of fire / Pospelov B., Andronov V., Rybka E., Popov V., Romin A. // Eastern-European Journal of Enterprise Technologies. 2018. Vol. 1, Issue 10 (91). P. 50–55. doi: https://doi.org/10.15587/1729-4061.2018.122419 

Stankovic L., Dakovic M., Thayaparan T. Time-frequency signal analysis. Kindle edition, Amazon, 2014. 655 p.

Avargel Y., Cohen I. Modeling and Identification of Nonlinear Systems in the Short-Time Fourier Transform Domain // IEEE Transactions on Signal Processing. 2010. Vol. 58, Issue 1. P. 291–304. doi: https://doi.org/10.1109/tsp.2009.2028978 

Giv H. H. Directional short-time Fourier transform // Journal of Mathematical Analysis and Applications. 2013. Vol. 399, Issue 1. P. 100–107. doi: https://doi.org/10.1016/j.jmaa.2012.09.053 

Development of the method of frequency­temporal representation of fluctuations of gaseous medium parameters at fire / Pospelov B., Andronov V., Rybka E., Popov V., Semkiv O. // Eastern-European Journal of Enterprise Technologies. 2018. Vol. 2, Issue 10 (92). P. 44–49. doi: https://doi.org/10.15587/1729-4061.2018.125926 

Mandel'brot B. Fraktal'naya geometriya prirody. Moscow: Institut komp'yuternyh issledovaniy, 2002. 656 p.

Examining the learning fire detectors under real conditions of application / Andronov V., Pospelov B., Rybka E., Skliarov S. // Eastern-European Journal of Enterprise Technologies. 2017. Vol. 3, Issue 9 (87). P. 53–59. doi: https://doi.org/10.15587/1729-4061.2017.101985 







Copyright (c) 2018 Boris Pospelov, Vladimir Andronov, Evgeniy Rybka, Ruslan Meleshchenko, Stella Gornostal

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061