Statistical estimates of Stochastic solutions of RL electrical circuits

被引:13
|
作者
Kolarova, Edita [1 ]
机构
[1] Brno Univ Technol, Fac Elect Engn & Commun, Brno 61600, Czech Republic
关键词
D O I
10.1109/ICIT.2006.372644
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper shows an application of the Ito stochastic calculus to the problem of modelling inductor-resistor electrical circuits. The deterministic model of the circuit is replaced by a stochastic model by adding a noise term in both the source and the resistance. The analytic solution of the resulting stochastic differential equations is obtained using the multidimensional Ito formula. Some statistical properties of the stochastic solutions are presented. The programming language C#, a part of the new MS NET platform, is used to generate numerical solutions and their graphical representations.
引用
收藏
页码:1186 / 1190
页数:5
相关论文
共 50 条
  • [41] RL circuits modeling with noisy parameters
    Kadlecova, Eva
    Kubasek, Radek
    Kolarova, Edita
    2006 INTERNATIONAL CONFERENCE ON APPLIED ELECTRONICS, 2006, : 79 - +
  • [42] ASYMPTOTIC THEORY FOR SOLUTIONS IN STATISTICAL ESTIMATION AND STOCHASTIC-PROGRAMMING
    KING, AJ
    ROCKAFELLAR, RT
    MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (01) : 148 - 162
  • [43] Existence of statistical solutions of a stochastic Karman system in a sounded region
    Gishlarkaev, VI
    MATHEMATICAL NOTES, 1995, 58 (1-2) : 692 - 702
  • [44] Numerical estimates of statistical characteristics of optical transfer function of stochastic scattering media
    Kargin, BA
    Lavrentiev, AE
    FIFTH INTERNATIONAL SYMPOSIUM ON ATMOSPHERIC AND OCEAN OPTICS, 1998, 3583 : 275 - 281
  • [45] Estimates on moments of the solutions to stochastic differential equations with respect to martingales in the plane
    Liang, ZX
    Zheng, ML
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1996, 62 (02) : 263 - 276
  • [46] Gaussian Estimates for the Solutions of Some One-dimensional Stochastic Equations
    Tien Dung Nguyen
    Privault, Nicolas
    Torrisi, Giovanni Luca
    POTENTIAL ANALYSIS, 2015, 43 (02) : 289 - 311
  • [47] EXISTENCE AND MOMENT ESTIMATES FOR SOLUTIONS TO NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS
    Daoyi Xu
    Bing Li
    Shujun Long
    Lingying Teng
    Weisong Zhou
    Annals of Applied Mathematics, 2014, (01) : 62 - 84
  • [48] Gaussian Estimates for the Solutions of Some One-dimensional Stochastic Equations
    Tien Dung Nguyen
    Nicolas Privault
    Giovanni Luca Torrisi
    Potential Analysis, 2015, 43 : 289 - 311
  • [49] Bond-Graph Modeling of the Equivalent RL and RC Scheme of the Circuits Composing an Electrical Transmission Line
    Grava, Adriana-Marcela
    Grava, Cristian
    Novac, Mihaela
    2015 13TH INTERNATIONAL CONFERENCE ON ENGINEERING OF MODERN ELECTRIC SYSTEMS (EMES), 2015,
  • [50] Simulation of Higher-Order Electrical Circuits with Stochastic Parameters via SDEs
    Brancik, Lubomir
    Kolarova, Edita
    ADVANCES IN ELECTRICAL AND COMPUTER ENGINEERING, 2013, 13 (01) : 17 - 22