access icon free SPICE-compatible admittance equivalent circuit for stochastic transmission line under external field illumination

© The Institution of Engineering and Technology
Received 02/07/2018, Accepted 21/01/2019, Revised 30/12/2018, Published 21/01/2019

For the stochastic transient analysis of transmission line with parameter uncertainties under plane wave illumination, a random admittance equivalent circuit model was presented. Based on the polynomial chaos theory and stochastic Galerkin method, the random transmission line equation was cast into the augmented deterministic transmission line equation. By virtue of eigenfunction decomposition and appropriate acceleration of convergence, a SPICE-compatible Foster form of admittance equivalent circuit model was obtained. The random boundary condition for non-linear loads was solved by applying the Gauss quadrature rule. Application examples validate the accuracy and efficiency of the presented methodology.

Inspec keywords: chaos; eigenvalues and eigenfunctions; SPICE; polynomials; stochastic processes; equivalent circuits; Galerkin method

Other keywords: random transmission line equation; SPICE-compatible Foster form; stochastic Galerkin method; plane wave illumination; SPICE-compatible admittance equivalent circuit; eigenfunction decomposition; Gauss quadrature rule; parameter uncertainties; random admittance equivalent circuit model; external field illumination; stochastic transient analysis; stochastic transmission line; nonlinear loads; augmented deterministic transmission line equation; polynomial chaos theory; random boundary condition

Subjects: Other topics in statistics; Linear algebra (numerical analysis); General circuit analysis and synthesis methods; Semiconductor integrated circuit design, layout, modelling and testing; Mathematical analysis; Chaotic behaviour in circuits; Interpolation and function approximation (numerical analysis)

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