Dear Colleagues,

It is widely acknowledged that direct numerical simulation of complete electrical or electronic systems based on first-principle formulations is not feasible due to overwhelming complexity. For this reason, the last forty years have witnessed a massive amount of research in the broad field of model order reduction, whose aim is to characterize a complex system through a compact macromodel, described by a reduced number of degrees of freedom or state variables, which can be simulated in a fast runtime with limited computing resources. Model order reduction is now a mature field in practically all engineering application fields, as a key enabler of model-based design flows.

This Special Issue collects state-of-the-art contributions in the field of macromodeling for electrical and electronic applications, focusing both on methodological aspects and on applications. Both research and review papers are considered on compact dynamic modeling of devices, components, interconnects (including transmission lines, cables and transmission line networks), subsystems and even entire systems. Although the main application focus is on electrical (power) systems and electronic (information) systems, multidisciplinary applications are also considered, including multiphysics modeling and co-simulation.

Potential topics include, but are not limited to:

• Model order reduction: data-driven and model-driven approaches for approximation, compression, projection and truncation of complex high-dimensional system descriptions;
• Rational fitting and linear system identification from tabulated frequency or time responses: vector fitting and Loewner matrix approaches;
• Characterization and enforcement of passivity: Hamiltonian matrices and pencils, sampling approaches, linear matrix inequalities;
• Behavioral modeling under uncertainty and stochastic variations: polynomial chaos, uncertainty quantification;
• Machine learning approaches as applied to compact system characterization and modeling;
• Lumped and distributed interconnects, transmission lines and cables;
• Macromodeling for signal and power integrity of electronic systems: devices, components, interconnects, subsystems and systems;
• Macromodeling for power systems: broadband modeling of transformers, transmission lines, cables and networks;
• Macromodel-based fast numerical simulation of complex systems: electrical, electronic, thermal and multiphysics.

Prof. Dr. Stefano Grivet-Talocia
Dr. Bjørn Gustavsen
Guest Editors

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• Model order reduction
• Vector fitting
• Loewner matrix methods
• Data-driven modeling
• Behavioral modeling
• Grey-box and black-box modeling
• Passivity characterization
• Passivity enforcement
• Hamiltonian matrices and pencils
• Parameterized modeling
• Stochastic modeling
• Delay-based macromodels
• Fast system-level simulation