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A stochastic equivalence approach for an Ornstein-Uhlenbeck process driven power system dynamics

   | 30 dic 2021

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Dörfler F, Bullo F (2010) Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators, Proceedings of the 2010 American Control Conference, 930-937 doi:10.1109/acc.2010.553069010.1109/ACC.2010.5530690 Search in Google Scholar

Guo SS, Shi Q (2017) Stationary solution of Duffing oscillator driven by additive and multiplicative Colored noise excitations, Journal of Vibration and Acoustics, 139(2): 024502-(1-4) doi:10.1115/1.403530810.1115/1.4035308 Search in Google Scholar

Hänggi P, Jung P (1995) Colored noise in dynamical systems, Advances in Chemical Physics (I. Prigogine and S. A. Rice., eds.), John Wiley and Sons, New York, pp. 239-323 Search in Google Scholar

Hirpara RH (2019) On the stochasticity of power system dynamics using Stratonovich differential, IEEE INDICON-2019, 1-4 Doi: 10.1109/INDICON47234.2019.903036410.1109/INDICON47234.2019.9030364 Search in Google Scholar

Hirpara RH, Sharma SN (2015) On the stochasticity of a machine swing equation using Itô differential, Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications, 2015: 142-148 https://doi.org/10.5687/sss.2015.14210.5687/sss.2015.142 Search in Google Scholar

Hirpara RH, Sharma SN (2015) An Ornstein-Uhlenbeck process-driven power system dynamics, IFAC PapersOnLine, 48(30):409-414 doi: 10.1016/j.ifacol.2015.12.41310.1016/j.ifacol.2015.12.413 Search in Google Scholar

Jazwinski AH (1970) Stochastic processes and filtering theory, Academic Press, New York and London Search in Google Scholar

Kundur P (1994) Power system stability and control, Mc-Graw-Hill, New York Search in Google Scholar

Patel HG, Sharma SN (2012) Some evolution equations for an Ornstein–Uhlenbeck process-driven dynamical system, Fluctuation and Noise Letters, 12(4): 1250020-(1-20) doi:10.1142/S021947751250020410.1142/S0219477512500204 Search in Google Scholar

Patil NS, Sharma SN (2014) A prediction theory for a coloured noise-driven stochastic differential system, Systems Science & Control Engineering, 2(1): 342–350 doi: 10.1080/21642583.2014.90600410.1080/21642583.2014.906004 Search in Google Scholar

Patil NS, Sharma SN (2015) On a non-linear stochastic dynamic circuit using Stratonovich differential, Journal of Franklin Institute, 352(8): 2999-3013 https://doi.org/10.1016/j.jfranklin.2014.12.01810.1016/j.jfranklin.2014.12.018 Search in Google Scholar

Schäfer B, Matthiae M, Zhang X, Rohden M, Timme M, Witthaut D (2017) Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks, Physical Review E, 95: 060203-(1-5) doi: 10.1103/PhysRevE.95.06020310.1103/PhysRevE.95.06020328709193 Search in Google Scholar

See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevE.95.060203 for discussion of robustness of the phenomena reported and a comparison of the escape time across different power grid models. Search in Google Scholar

Simpson-Porco JW, Dörfler F, Bullo F (2012) Droop-controlled inverters are Kuramoto oscillators, IFAC Proceedings Volumes, 45(26): 264-269 doi:10.3182/20120914-2-US-4030.0005510.3182/20120914-2-US-4030.00055 Search in Google Scholar

Stratonovich RL (1963) Topics in the theory of random noise, Vol. 1, Gordon and Breach, New York Search in Google Scholar

Tönjes R (2010) Synchronization transition in the Kuramoto model with colored noise, Physical Review E, 81: 055201-(1-4) doi: 10.1103/PhysRevE.81.05520110.1103/PhysRevE.81.05520120866286 Search in Google Scholar

Verdejo H, Awerkin A, Kliemann W, Becker C (2019) Modelling uncertanities in electrical power systems with stochastic differential equations, International Journal of Electrical Power & Energy Systems, 113:322-332 doi: 10.1016/j.ijepes.2019.05.05410.1016/j.ijepes.2019.05.054 Search in Google Scholar

Wang K, Crow ML (2013) The Fokker-Planck equation for power system stability probability density function evolution, IEEE Transactions on Power Systems, 28(3): 2994-3001 Doi: 10.1109/TPWRS.2012.223231710.1109/TPWRS.2012.2232317 Search in Google Scholar

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