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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

Impedance-based stability analysis is appealing in the case of Single-Input Single-Output (SISO) systems. However, in the case of grid-tied voltage source converter (VSC) systems, dq impedances of source and load (VSC) subsystems are…

Systems and Control · Computer Science 2017-03-14 Chen Zhang , Xu Cai , Atle Rygg , Marta Molinas

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Chongbin Zhao , Qirong Jiang

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

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

A fast and accurate grid impedance measurement of three-phase power systems is crucial for online assessment of power system stability and adaptive control of grid-connected converters. Existing grid impedance measurement approaches…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Verena Häberle , Linbin Huang , Xiuqiang He , Eduardo Prieto-Araujo , Roy S. Smith , Florian Dörfler

Time-varying phasor-based analysis of subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) and its benchmarking with electromagnetic transient (EMT) models have so far been restricted to highly simplified grid…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Lilan Karunaratne , Nilanjan Ray Chaudhuri , Amirthagunaraj Yogarathnam , Meng Yue

This paper presents an extensive framework focused on the control design, along with stability and performance analysis, of Grid-Following Inverters (GFL). It aims to ensure their effective operation under both stiff and weak grid…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Alireza Askarian , Jaesang Park , Srinivasa Salapaka

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

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

In recent years the need for DC distribution buses has increased considerably. As it can be noticed in the transport for example the distribution systems of the more electric aircrafts, ships, or electric cars. Given the complexities of the…

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

Modern power system is undergoing a paradigm shift from the synchronous generators-based system to the power electronics converters-dominated system. With the high penetration of converters, serious stability problems are provoked,…

Applied Physics · Physics 2022-03-02 Haoxiang Zong , Chen Zhang , Xu Cai , Marta Molinas

This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Eder Baron-Prada , Alberto Padoan , Adolfo Anta , Florian Dörfler

The increasing penetration of converter-interfaced generators (CIGs) intensifies concerns over small-signal voltage and synchronization stability. While existing theories treat these two stability issues distinctly, practical wisdom in…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Fuyilong Ma , Lidong Zhang , Wangqianyun Tang , Waisheng Zheng , Huanhai Xin , Linbin Huang , Lennart Harnefors

The increasing use of power electronics converters to integrate renewable energy sources has been subject of concern due to the resonance oscillatory phenomena caused by their interaction with poorly damped AC networks. Early studies are…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Luis Orellana , Luis Sainz , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

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

The small-signal impedance modeling of modular multilevel converter (MMC) is the key for analyzing resonance and stability of MMC-based ac power electronics systems. MMC is a converter system with a typical multi-frequency response due to…

Systems and Control · Computer Science 2017-05-03 Jing Lyu , Qiang Chen , Xu Cai , Marta Molinas

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

Having sufficient grid-forming sources is one of the necessary conditions to guarantee the stability in a power system hosting a very large share of inverter-based generation. The grid-forming function has been historically fulfilled by…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Dorsan Lepour , Mario Paolone , Guillaume Denis , Carmen Cardozo , Thibault Prevost , Emeline Guiu
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