Uncertainty Quantification of Electromagnetic Devices, Circuits, and Systems

Profs. Paolo Manfredi and Dries Vande Ginste authored Chapter 2 (Polynomial Chaos Based Uncertainty Quantification in Electrical Engineering: Theory) and Chapter 3 (Polynomial Chaos Based Uncertainty Quantification in Electrical Engineering: Applications) of the book Uncertainty Quantification of Electromagnetic Devices, Circuits, and Systems, edited by Prof. Sourajeet Roy and published by the Institution of Engineering and […]

A perturbative stochastic Galerkin method for the uncertainty quantification of linear circuits

This paper presents an iterative and decoupled perturbative stochastic Galerkin (SG) method for the variability analysis of stochastic linear circuits with a large number of uncertain parameters. State-of-the-art implementations of polynomial chaos expansion and SG projection produce a large deterministic circuit that is fully coupled, thus becoming cumbersome to implement and inefficient to solve when […]

Scattering parameters characterization of periodically nonuniform transmission lines with a perturbative technique

In this article, a novel procedure for the frequency-domain solution of nonuniform transmission lines (NUTLs) is presented. The procedure is based on a recently proposed perturbative technique, which is proven to be computationally more efficient than standard solution approaches, which are based on line subdivision into uniform cascaded sections. With respect to the original perturbation […]

Machine-learning-based hybrid random-fuzzy uncertainty quantification for EMC and SI assessment

Modeling the effects of uncertainty is of crucial importance in the signal integrity and Electromagnetic Compatibility assessment of electronic products. In this article, a novel machine-learning-based approach for uncertainty quantification problems involving both random and epistemic variables is presented. The proposed methodology leverages evidence theory to represent probabilistic and epistemic uncertainties in a common framework. […]