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

被引:0
作者
Hirpara, R. H. [1 ]
机构
[1] SN Patel Inst Technol & Res Ctr, Elect Engn Dept, Surat 394345, Gujarat, India
关键词
stochastic equivalence approach; stochastic differential equation; the OU process; Kuramoto oscillator; power system dynamics; COLORED NOISE; STABILITY;
D O I
10.2478/jamsi-2021-0008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper develops a stochastic equivalence approach for an Ornstein-Uhlenbeck process-driven power system. The concept of stochastic equivalence coupled with stochastic differential rule plays the important role to develop the stochastic equivalence approach of this paper. This paper also develops the prediction theory of power system dynamics with the OU process as well.
引用
收藏
页码:47 / 58
页数:12
相关论文
共 17 条
  • [11] A prediction theory for a coloured noise-driven stochastic differential system
    Patil, Nanasaheb S.
    Sharma, Shambhu N.
    [J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2014, 2 (01): : 342 - 350
  • [12] On a non-linear stochastic dynamic circuit using Stratonovich differential
    Patil, Nanasaheb S.
    Sharma, Shambhu N.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (08): : 2999 - 3013
  • [13] Escape routes, weak links, and desynchronization in fluctuation-driven networks
    Schaefer, Benjamin
    Matthiae, Moritz
    Zhang, Xiaozhu
    Rohden, Martin
    Timme, Marc
    Witthaut, Dirk
    [J]. PHYSICAL REVIEW E, 2017, 95 (06)
  • [14] Stratonovich R. L., 1963, TOPICS THEORY RANDOM, V1
  • [15] Synchronization transition in the Kuramoto model with colored noise
    Tonjes, Ralf
    [J]. PHYSICAL REVIEW E, 2010, 81 (05):
  • [16] Modelling uncertainties in electrical power systems with stochastic differential equations
    Verdejo, Humberto
    Awerkin, Almendra
    Kliemann, Wolfgang
    Becker, Cristhian
    [J]. INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 2019, 113 : 322 - 332
  • [17] The Fokker-Planck Equation for Power System Stability Probability Density Function Evolution
    Wang, Keyou
    Crow, Mariesa L.
    [J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 2013, 28 (03) : 2994 - 3001