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Impedance models of power systems are useful when state-space models of apparatus such as inverter-based resources (IBRs) have not been made available and instead only black-box impedance models are available. For tracing the root causes of…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Yue Zhu , Yunjie Gu , Yitong Li , Timothy C. Green

The output impedance matrices of three-phase grid-connected voltage source converters (VSCs) are widely used in power system stability analysis. Regardless of how the impedance is modeled, there always exist coupling terms in the impedance…

Systems and Control · Computer Science 2017-04-04 Huanhai Xin , Ziheng Li , Wei Dong , Zhen Wang , Leiqi Zhang

The impedance network (IN) model is gaining popularity in the oscillation analysis of wind farms. However, the construction of such an IN model requires impedance curves of each wind turbine under their respective operating conditions,…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Xiaojuan Zhang , Tianyu Jiang , Haoxiang Zong , Chen Zhang , Chendan Li , Marta Molinas

We study the dynamics of ionic liquids in a thin slit pore geometry. Beginning with the classical and dynamic density functional theories for systems of charged hard spheres, an asymptotic procedure leads to a simplified model which…

Soft Condensed Matter · Physics 2021-10-15 Ruben J. Tomlin , Tribeni Roy , Toby L. Kirk , Monica Marinescu , Dirk Gillespie

This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

It is known that electrical networks with resistors are related to the Laplace operator and random walk on weighted graphs. In this paper we consider more general electrical networks with coils, capacitors, and resistors. We give two…

Combinatorics · Mathematics 2021-03-05 Anna Muranova

In this work we explore impedance-based interactions that arise when inverter-connected distributed energy resources (DERs) inject real and reactive power to regulate voltage and power flows on three-phase unbalanced distribution grids. We…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Jaimie Swartz , Alexandra von Meier

The impedances of cables and lines used in (multi-conductor) distribution networks are usually unknown or approximated, and may lead to problematic results for any physics-based power system calculation, e.g., (optimal) power flow. Learning…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Marta Vanin , Frederik Geth , Rahmat Heidari , Dirk Van Hertem

The concepts of wake fields and impedance are introduced to describe the electromagnetic interaction of a bunch of charged particles with its environment in an particle accelerator. The wake fields can act back on the beam and lead to…

Accelerator Physics · Physics 2020-06-12 R. Wanzenberg

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

The increasing penetration of converter-interfaced distributed energy resources has brought out the need to develop decentralized criteria that would ensure the small-signal stability of the inter-connected system. Passivity of the D-Q…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Kaustav Dey , A. M. Kulkarni

Solid state impedance spectroscopy enables the various contributions to the resistive and capacitive properties of electronically inhomogeneous condensed matter to be deconvoluted and characterized separately. The different contributions…

Applied Physics · Physics 2022-03-07 Rainer Schmidt

Electrochemical Impedance Spectroscopy (EIS) is a non-invasive technique widely used for understanding charge transfer and charge transport processes in electrochemical systems and devices. Standard approaches for the interpretation of EIS…

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

The increasing number of inverter based resources (IBRs) connected to modern power systems necessitate accurate modeling of IBRs in stability studies. Measurement-based modeling approaches can create an impedance/admittance model of IBRs to…

Systems and Control · Electrical Eng. & Systems 2022-07-28 Sushrut Thakar , Deepak Ramasubramanian

High impedance connecting links and cables are modeled at low frequency in terms of their impedance to ground and to neigbouring connecting links. The impedance is usually considered to be the parallel combination of a resistance and a…

Instrumentation and Detectors · Physics 2013-07-18 Andrea Giachero , Claudio Gotti , Matteo Maino , Gianluigi Pessina

The system frequency is a critical measure of power system stability and understanding, and modeling it are key to ensure reliable power system operations. Koopman-based autoencoders are effective at approximating complex nonlinear data…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Eric Lupascu , Xiao Li , Benjamin Schäfer

Active power oscillations frequently arise in inverter-dominated power systems with multiple converters operating under Virtual Synchronous Generator control, posing risks to system stability and protection coordination. While various…

Systems and Control · Electrical Eng. & Systems 2025-09-29 Junjie Xiao , Lu Wang , Xiong Du , Pedro Rodriguez , Zian Qin

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway