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Representations of AC power systems by frequency dependent impedance equivalents is an emerging technique in the dynamic analysis of power systems including power electronic converters. The technique has been applied for decades in DC-power…

Systems and Control · Computer Science 2016-05-03 Atle Rygg , Marta Molinas , Zhang Chen , Xu Cai

This paper provides a comparative analysis of impedance models for power electronic converters and systems for the purpose of stability investigations. Such models can be divided into either decoupled models or matrix models. A decoupled…

Systems and Control · Computer Science 2016-10-18 Atle Rygg , Marta Molinas , Chen Zhang , Xu Cai

The paper establishes a methodology to overcome the difficulty of dynamic frame alignment and system separation in impedance modeling of ac grids, and thereby enables impedance-based whole-system modeling of generator-converter composite…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Yunjie Gu , Yitong Li , Yue Zhu , Tim Green

During the last decades, significant advances have been made in the area of power system stability and control. Nevertheless, when this analysis is carried out by means of decentralized conditions in a general network, it has been based on…

Optimization and Control · Mathematics 2018-09-27 Chrysovalantis Spanias , Ioannis Lestas

Impedance is an intuitive and efficient way for dynamic representation of power electronics devices. One of the evident strengths, when compared to other small-signal methods, is the natural association with circuit theory. This makes them…

Systems and Control · Computer Science 2018-11-16 Chen Zhang , Marta Molinas , Atle Rygg , Xu Cai

We propose a non-parametric frequency-domain method to identify small-signal $dq$-asymmetric grid impedances, over a wide frequency band, using grid-connected converters. Existing identification methods are faced with significant…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Mohamed Abdalmoaty , Verena Häberle , Xiuqiang He , Florian Dörfler

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

The impedance criterion has emerged as an alternative way to stability assessment of grid-connected power electronic converters. However, the lack of physical meaning of impedance and admittance matrices hinders the ability to understand…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Josue Andino , Milan Prodanovic , Javier Roldan-Perez

Modular multilevel converter (MMC) has complex topology, control architecture and broadband harmonic spectrum. For this, linear-time-periodic (LTP) theory, covering multi-harmonic coupling relations, has been adopted for MMC impedance…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Chu Sun , Fei Zhang , Huafeng Xiao , Na Wang , Jikai Chen

This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints…

Optimization and Control · Mathematics 2026-03-03 Matthieu Barreau , Carsten W. Scherer , Frederic Gouaisbaut , Alexandre Seuret

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

Multiple types of Nyquist-like impedance-based criteria are utilized for the small-signal stability analysis of converter-based AC systems. It is usually considered that the determinant-based criterion can determine the overall stability of…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Chongbin Zhao , Qirong Jiang , Yixin Guo

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

The output impedance matrix of a grid-connected converter plays an important role in analyzing system stability. Due to the dynamics of the DC-link control and the phase locked loop (PLL), the output impedance matrices of the converter and…

Systems and Control · Computer Science 2017-06-20 Huanhai Xin , Ziheng Li , Wei Dong , Leiqi Zhang , Zhen Wang , Jian Zhao

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

Power electronic devices such as HVDC and FACTS can be used to improve the damping of poorly damped inter-area modes in large power systems. This involves the use of wide-area feedback signals, which are transmitted via communication…

Systems and Control · Electrical Eng. & Systems 2022-11-17 K. K. Gajjar , Kaustav Dey , A. M. Kulkarni

Impedance-based small-signal stability analysis is widely applied in practical engineering with modular multilevel converters (MMCs). However, the deficiencies of existing impedance models (IMs) and the idealized extension for the single…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Chongbin Zhao , Qirong Jiang

In the context of constrained quantum mechanics, reference systems are used to construct relational observables that are invariant under the action of the symmetry group. Upon measurement of a relational observable, the reference system…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Girelli , David Poulin

Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

Dynamical Systems · Mathematics 2025-08-25 Quinlan Leishman , Benjamin Webb

How can we perform a metrological task if only limited control over a quantum system is given? Here, we present systematic methods for conducting nonlinear quantum metrology in scenarios lacking a common reference frame. Our approach…

Quantum Physics · Physics 2026-04-20 Satoya Imai , Otfried Gühne , Géza Tóth
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