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Impedance-based stability analysis in the dq-domain is a widely applied method for power electronic dominated systems. An inconvenient property with this method is that impedance models are normally referred to their own local reference…

Systems and Control · Computer Science 2017-06-27 Atle Rygg , Marta Molinas , Eneko Unamuno , Chen Zhang , Xu Cai

Modern power systems increasingly rely on power electronic converters, yet many of these devices are provided as black-box models, limiting the applicability of conventional small-signal analysis (SSA) tools. This work presents a unified…

In this article, a nonlinear strategy based on a flatness approach is used for controlling the instantaneous complex power supplied from the Point of Common Coupling (PCC) to a weak grid. To this end, the strategy introduced by the authors…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Sebastian Gomez Jorge , Jorge A. Solsona , Claudio A. Busada , Gerardo Tapia-Otaegui , Ana Susperregui , M. Itsaso Martínez

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Trager Joswig-Jones , Baosen Zhang

From the structural perspective, this paper investigates a new formulation of the concept of input-to-state stability (ISS), and based on this formulation, proposes a new stability analysis approach for a class of interconnected system. The…

Systems and Control · Computer Science 2015-05-05 Yong Wang

DC microgrids are becoming popular as effective means to integrate various renewable energy resources. Constant power loads (CPLs) may yield instability due to the negative impedance characteristic. This paper analyzes the stability of the…

Systems and Control · Computer Science 2018-04-24 Zhangjie Liu , Mei Su , Yao Sun , Hua Han , Xiaochao Hou , Josep M. Guerrero

The popular single-input single-output control structures and classic design methods (e.g., root locus analysis) for the power control of grid-forming converters have limitations in applying to different line characteristics and providing…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Meng Chen , Dao Zhou , Ali Tayyebi , Eduardo Prieto-Araujo , Florian Dörfler , Frede Blaabjerg

Multi-terminal high-voltage Direct Current technology based on Voltage-Source Converter stations (VSC-MTDC) is expected to be one of the most important contributors to the future of electric power systems. In fact, among other features, it…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

The small-signal stability of multi-terminal HVDC systems, which is related to the dynamic interactions among different VSCs through the coupling of DC and AC networks, has become one of the important issues for the safety and stable…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wanning Zheng , Li Chai

This note establishes the Exponential Input-to-State Stability (EISS) property for a clamped-free damped string with respect to distributed and boundary disturbances. While efficient methods for establishing ISS properties for distributed…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , David Saussié , Guchuan Zhu , Robert Shorten

We present a full review of PID passivity-based controllers (PBC) applied to power electronic converters, discussing limitations, unprecedented merits and potential improvements in terms of large-signal stability, robustness and…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Daniele Zonetti , Gilbert Bergna-Diaz , Romeo Ortega , Nima Monshizadeh

In this paper, we investigate the stability properties of inverter-based microgrids by establishing the possible presence of the so-called critical clusters - groups of inverters with their control settings being close to the stability…

Systems and Control · Electrical Eng. & Systems 2020-04-03 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

As renewable sources increasingly replace existing conventional generation, the dynamics of the grid drastically changes, posing new challenges for transmission system operations, but also arising new opportunities as converter-based…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Alessandro Crivellaro , Ali Tayyebi , Catalin Gavriluta , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

The residual cutting (RC) method has been proposed as an outer-inner loop iteration for efficiently solving large and sparse linear systems of equations arising in solving numerically problems of elliptic partial differential equations.…

Numerical Analysis · Mathematics 2026-03-23 Toshihiko Abe

The transient stability of traditional power systems is concerned with the ability of generators to stay synchronized with the positive-sequence voltage of the network, whether for symmetrical or asymmetrical faults. In contrast, both…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Xiuqiang He , Changjun He , Sisi Pan , Hua Geng , Feng Liu

Voltage regulation under conventional grid-forming controllers is tightly coupled to power sharing and dc-link dynamics. Consequently, its tracking accuracy deteriorates during grid faults, sudden power sharing changes, or dc-bus voltage…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Qianxi Tang , Li Peng , Xuefeng Wang , Xinchen Yao

This paper introduces the concept of Transient Slack Capability (TSC), a set of three necessary device-level conditions to ensure stability under sustained power perturbations. TSC states that a device must (1) possess sufficient stored…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Rodrigo Bernal , Federico Milano

This work introduces a novel dispatchable current source virtual oscillator control (dCVOC) scheme for grid-following (GFL) converters, which exhibits duality with dispatchable virtual oscillator control (dVOC) in two ways: a) the current…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Kehao Zhuang , Linbin Huang , Huanhai Xin , Xiuqiang He , Verena Häberle , Florian Dörfler

This letter proposes a decentralized local gain condition (LGC) to guarantee oscillation damping in inverter-based resource (IBR)-dominated power systems. The LGC constrains the dynamic gain between each IBR and the network at its point of…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Xiang Zhu , Xiuqiang He , Hongyang Qing , Hua Geng