Stochastic circuit modelling with Hermite polynomial chaos

被引:24
作者
Su, Q [1 ]
Strunz, K [1 ]
机构
[1] Univ Washington, Dept Elect Engn, Seattle, WA 98195 USA
关键词
D O I
10.1049/el:20052415
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Hermite polynomial chaos is used to create models of electric circuit branches for the study of random changes of parameters. The proposed method allows for seamless integration with nodal analysis. An analogy of Fourier series and Hermite polynomial chaos expansion is introduced to explain the methodology Compared with root-sum-square and Monte Carlo methods, the proposed method is shown to be fast and accurate.
引用
收藏
页码:1163 / 1165
页数:3
相关论文
共 50 条
  • [31] Solving stochastic Burgers equation using polynomial chaos decomposition
    Wang, Xiao-Dong
    Kang, Shun
    Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics, 2010, 31 (03): : 393 - 398
  • [32] Polynomial chaos enrichment for analyzing stochastic systems with clustered eigenvalues
    Ghosh, D.
    Ghanem, R.
    Structural Dynamics - EURODYN 2005, Vols 1-3, 2005, : 883 - 888
  • [33] Application of polynomial chaos on numerical simulation of stochastic cavity flow
    XiaoDong Wang
    Shun Kang
    Science China Technological Sciences, 2010, 53 : 2853 - 2861
  • [34] On Stability of Stochastic Linear Systems via Polynomial Chaos Expansions
    Lucia, Sergio
    Paulson, Joel A.
    Findeisen, Rolf
    Braatz, Richard D.
    2017 AMERICAN CONTROL CONFERENCE (ACC), 2017, : 5089 - 5094
  • [35] Seismic fragility analysis using stochastic polynomial chaos expansions
    Zhu, Xujia
    Broccardo, Marco
    Sudret, Bruno
    PROBABILISTIC ENGINEERING MECHANICS, 2023, 72
  • [36] Generalized Polynomial Chaos Decomposition for the Stokes Equations with Stochastic Inputs
    Qu, Dong
    Xu, Chuanju
    18TH WORLD IMACS CONGRESS AND MODSIM09 INTERNATIONAL CONGRESS ON MODELLING AND SIMULATION: INTERFACING MODELLING AND SIMULATION WITH MATHEMATICAL AND COMPUTATIONAL SCIENCES, 2009, : 462 - 462
  • [37] The Wiener-Askey polynomial chaos for stochastic differential equations
    Xiu, DB
    Karniadakis, GE
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2002, 24 (02) : 619 - 644
  • [38] Modeling of Stochastic EMC Problems with Anisotropic Polynomial Chaos Expansions
    Zygiridis, Theodoros
    Kommatas, Georgios
    Papadopoulos, Aristeides
    Kantartzis, Nikolaos
    1600, Institute of Electrical and Electronics Engineers Inc. (10): : 70 - 79
  • [39] Hybridization of stochastic reduced basis methods with polynomial chaos expansions
    Sachdeva, Sachin K.
    Nair, Prasanth B.
    Keane, Andy J.
    PROBABILISTIC ENGINEERING MECHANICS, 2006, 21 (02) : 182 - 192
  • [40] Application of polynomial chaos on numerical simulation of stochastic cavity flow
    WANG XiaoDong1
    2 Department of Mechanical Engineering
    Science China(Technological Sciences), 2010, (10) : 2853 - 2861