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
  • [1] Practical implementation of stochastic parameterized model order reduction via hermite polynomial chaos
    Zou, Yi
    Cai, Yici
    Zhou, Qiang
    Hong, Xianlong
    Tan, Sheldon X. -D.
    Kang, Le
    PROCEEDINGS OF THE ASP-DAC 2007, 2007, : 367 - +
  • [2] Stochastic Formulation of SPICE-Type Electronic Circuit Simulation with Polynomial Chaos
    Strunz, Kai
    Su, Qianli
    ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION, 2008, 18 (04):
  • [3] Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations
    Kaur, Navjot
    Goyal, Kavita
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2020, 31 (09):
  • [4] Uncertainty Quantification of EM-Circuit Systems Using Stochastic Polynomial Chaos Method
    Li, Ping
    Jiang, Li Jun
    2014 IEEE INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY (EMC), 2014, : 872 - 877
  • [5] Hill chart modelling using the Hermite polynomial chaos expansion for the performance prediction of pumps running as turbines
    Delgado, J.
    Andolfatto, L.
    Covas, D. I. C.
    Avellan, F.
    ENERGY CONVERSION AND MANAGEMENT, 2019, 187 : 578 - 592
  • [7] On stochastic LQR design and polynomial chaos
    Fisher, James
    Bhattacharya, Raktim
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 95 - 100
  • [8] Polynomial chaos representation of a stochastic preconditioner
    Desceliers, C
    Ghanem, R
    Soize, C
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (05) : 618 - 634
  • [9] STOCHASTIC POLYNOMIAL CHAOS EXPANSIONS TO EMULATE STOCHASTIC SIMULATORS
    Zhu, X.
    Sudret, B.
    INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2023, 13 (02) : 31 - 52
  • [10] A polynomial chaos approach to stochastic variational inequalities
    Forster, R.
    Kornhuber, R.
    JOURNAL OF NUMERICAL MATHEMATICS, 2010, 18 (04) : 235 - 255