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An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

Physics and Society · Physics 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa

Synchronous condensers (SCs) have been reported to improve the overall stability and short-circuit power of a power system. SCs are also being integrated into offshore wind power plants (WPPs) for the same reason. This paper, investigates…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Sulav Ghimire , Kanakesh V. Kkuni , Emerson D. Guest , Kim H. Jensen , Guangya Yang

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

Physics and Society · Physics 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

In this paper virtual synchronous generation (VSG) approach is investigated in application to low- and zero-inertia grids operated by grid-forming (GFM) inverters. The key idea here is to introduce dynamic inertia and damping constants in…

Systems and Control · Electrical Eng. & Systems 2024-11-07 Oleg O. Khamisov , Stepan P. Vasilev

The stability of AC power grids relies on ancillary services that mitigate frequency fluctuations. The electromechanical inertia of large synchronous generators is currently the only resource to absorb frequency disturbances on sub-second…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Julian Fritzsch , Philippe Jacquod

Behavioral homogeneity is often critical for the functioning of network systems of interacting entities. In power grids, whose stable operation requires generator frequencies to be synchronized--and thus homogeneous--across the network,…

Adaptation and Self-Organizing Systems · Physics 2024-09-24 Ferenc Molnar , Takashi Nishikawa , Adilson E. Motter

Grid-forming (GFM) converters are generally expected to exhibit low impedance near the fundamental frequency due to their voltage-source behavior. However, an impedance peak and a negative-resistance region are consistently observed in this…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Chao Wu , Jinhao Wang , Yong Wang , Changjiang Zhan , Frede Blaabjerg

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

In this work, we investigate grid-forming control for power systems containing three-phase and single-phase converters connected to unbalanced distribution and transmission networks, investigate self-balancing between single-phase…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Shahin S. Nudehi , Dominic Groß

We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC…

Optimization and Control · Mathematics 2022-01-27 Taouba Jouini , Zhiyong Sun

The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating…

Adaptation and Self-Organizing Systems · Physics 2020-01-20 Philipp C. Böttcher , Andreas Otto , Stefan Kettemann , Carsten Agert

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

The significant electrical distance between wind power collection points and the main grid poses challenges for weak grid-connected wind power systems. A new type of voltage oscillation phenomenon induced by repeated low voltage…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Qiping Lai , Chen Shen , Dongsheng Li

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

Non-linear equations describing the time evolution of frequencies and voltages in power grids exhibit fixed points of stable grid operation. The dynamical behaviour after perturbations around these fixed points can be used to characterise…

Adaptation and Self-Organizing Systems · Physics 2018-11-14 Matthias Wolff , Pedro G. Lind , Philipp Maass

The synchronized operation of power generators is the foundation of electric power network stability and a key to the prevention of undesired power outages and blackouts. Here, we derive the conditions that guarantee synchronization in…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Amirhossein Sajadi , Rick Wallace Kenyon , Bri-Mathias Hodge

As the number of converter-based renewable generations in the power system is increasing, the inertia provided by the synchronous generators is reducing, which in turn is reducing the stability margins of the power system. In order to…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Łukasz Kocewiak , Guangya Yang

This chapter provides an introduction to the modeling and control of power generation from wind turbine systems. In modeling, the focus is on the electrical components: electrical machine (e.g. permanent-magnet synchronous generators),…

Systems and Control · Computer Science 2017-03-28 Christian Dirscherl , Christoph M. Hackl , Korbinian Schechner

With the increasing penetration of converter-interfaced distributed generation systems, it would be advantageous to specify local compliance criteria for these devices to ensure the small-signal stability of the interconnected system.…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kaustav Dey , Anil Kulkarni

We consider the problem of synchronizing two electric power generators, one of which (the leader) is serving a time-varying electrical load, so that they can ultimately be connected to form a single power system. Each generator is described…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Olaoluwapo Ajala , Alejandro Dominguez-Garcia , Daniel Liberzon