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
来源：
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS | 2021年 / 17卷 / 02期
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
  • [1] [Anonymous], 2012, IFAC Proc, DOI [DOI 10.3182/20120914-2-US-4030.00055, 10.3182/20120914-2-US-4030.00055]
  • [2] Dörfler F, 2010, P AMER CONTR CONF, P930
  • [3] Stationary Solution of Duffing Oscillator Driven by Additive and Multiplicative Colored Noise Excitations
    Guo, Siu-Siu
    Shi, Qingxuan
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2017, 139 (02):
  • [4] HANGGI P, 1995, ADV CHEM PHYS, V89, P239
  • [5] Hirpara R. H., 2015, P ISCIE INT S STOCH, P142, DOI [10.5687/sss.2015.142, DOI 10.5687/SSS.2015.142]
  • [6] On the stochasticity of power system dynamics using Stratonovich differential
    Hirpara, Ravish H.
    [J]. 2019 IEEE 16TH INDIA COUNCIL INTERNATIONAL CONFERENCE (IEEE INDICON 2019), 2019,
  • [7] An Ornstein-Uhlenbeck Process-Driven Power System Dynamics
    Hirpara, Ravish H.
    Sharma, Shambhu N.
    [J]. IFAC PAPERSONLINE, 2015, 48 (30): : 409 - 414
  • [8] Jazwinski A., 1970, STOCHASTIC PROCESSES
  • [9] Kundur P, 1994, POWER SYSTEM STABILI
  • [10] SOME EVOLUTION EQUATIONS FOR AN ORNSTEIN-UHLENBECK PROCESS-DRIVEN DYNAMICAL SYSTEM
    Patel, Hiren G.
    Sharma, Shambhu N.
    [J]. FLUCTUATION AND NOISE LETTERS, 2012, 11 (04):
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