Analytical Formulas for Calculating the Transitions Probability in the Markov Reliability Model
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Markov A.A. Distribution of the law of large numbers on the magnitude, independent of each other [Rasprostraneniye zakona bolshikh chisel na velichiny, zavisyashchiye drug ot druga], Izvestiya fiziko-matematicheskogo obshchestva pri Kazanskom universitete [Proceedings of Physical and Math-ematical Society at the University of Kazan], 1906, the second ser., vol. 15, pp. 135-156. (in Russ.)
Kemeni Dzh., Snell Dzh. L. Konechnyye tsepi Markova [Finite Markov chain], Moscow, Nauka, 1970. (in Russ.).
Bertling L., Bangalore P., Tuan L. On the use of reliability test systems: A literature survey, IEEE, Power & Energy Society General Meeting, 2011. DOI: 10.1109/PES.2011.6039742
Fokin Yu.A., Tufanov V.A. Otsenka nadezhnosti sistem elektrosnabzheniya [Evaluation of reliability of power supply systems], Moscow, Energoizdat, 1981. (in Russ.)
Klemin A.I., Yemelyanov B.C., Morozov V.B. Raschet nadezhnosti yadernykh energeticheskikh ustanovok: Mar-kovskaya model [Calculation of reliability of nuclear power plants: Markov model], Moscow, Energoizdat, 1982. (in Russ.)
Abdurakhmanov A.M., Misrikhanov M.Sh., Ryabchenko V.N. Ribbon representation of Markov chains in the analy-sis of the reliability of electric power systems [Lentochnyye predstavleniya tsepey Markova pri analize nadezhnosti elektroenergeticheskikh system], Elektro [Electro], 2014, no. 6, pp. 2-8. (in Russ.)
Billinton R., Allan R. Otsenka nadezhnosti elektro-energeticheskikh sistem [Evaluation of reliability of electric power systems], Moscow, Energoatomizdat, 1988. (in Russ.)
Abdurahmanov A.M., Vasin V.P., Misrikhanov M.Sh., Ryabchenko V.N., Shuntov A.V. Stabilityof the interconnected power systems in a changing loads and grid structure, Russian Internet Journal of Electrical Engineering. 2015. Vol. 2, no. 1, pp. 20-29. (in Russ.). DOI: 10.24892/RIJEE/20150104
Trubitsyn V.I. Nadezhnost elektrostantsiy [Reliability of power], Moscow, Energoatomizdat, 1997. (in Russ.)
Abdurahmanov A.M., Volodin M.V., Zybin E.Yu., Ryabchenko V.N. Forecasting methods in electricity distribution networks (review), Russian Internet Journal of Electrical Engineering, 2016, vol. 3, no.1, pp. 3-23. (in Russ.). DOI: 10.24892/RIJEE/20160101
Misrikhanov M.Sh., Ryabchenko V.N. Algebraic and matrix methods in the theory of linear MIMO-systems [Algebraicheskiye i matrichnyye metody v teorii lineynykh MIMO-sistem], Vestnik IGEU [Herald ISPU], 2005, is. 5, pp. 196-240. (in Russ.)
Misrikhanov M.Sh., Ryabchenko V.N. Method equivalenting electrical network based on zero divisors of matrix [Metod ekvivalentirovaniya elektricheskoy seti na osnove matrichnykh deliteley nulya], Elektro [Electro], 2010, no.1, pp. 15-18. (in Russ.)
Avalaible at: http://ee-system.ru. (accessed 1 February 2016). (in Russ.)
Abdurahmanov A.M., Zimin K.A., Ryabchenko V.N. Requirement analysis to the switchgear of ultra and superhigh AC voltage (CIGRE survey of the materials), Russian Internet Journal of Electrical Engineering, 2015, vol. 2, no.4, pp. 3-11. (in Russ.). DOI: 10.24892/RIJEE/20150401
Dai Z., Wang Z. Protection Dynamic Reliability Analysis System Based on 3RF Technique, IEEE Trans. Power Systems, 2011, vol. 26, no.3, pp. 1137-1144. DOI: 10.1109/TPWRS.2010.2100413
Dominich S. The modern algebra of information retrieval, Springer, 2008.
Langville A.N., Meyer C.D. Google's PageRank and beyond, PUP, 2006.
Golub Dzh., Van Loun Ch. Matrichnyye vychisleniya [Matrix calculations], Moscow, Mir, 1999. (in Russ.)
DOI: http://dx.doi.org/10.24892/RIJIE/20160209
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