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In this paper, we analytically study the transient stability of grid-connected converters with grid-forming complex droop control, also known as dispatchable virtual oscillator control. We prove theoretically that complex droop control, as…

系统与控制 · 电气工程与系统科学 2024-05-24 Xiuqiang He , Linbin Huang , Irina Subotić , Verena Häberle , Florian Dörfler

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

最优化与控制 · 数学 2019-10-10 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

系统与控制 · 计算机科学 2019-05-20 Fernando Paganini , Enrique Mallada

This work establishes the equivalence of selected grid-forming control algorithms within the context of simplified theoretical models. Considered algorithms are droop control, Virtual Synchronous Machine (VSM) and matching control. It is…

系统与控制 · 电气工程与系统科学 2023-12-01 Aidar Zhetessov

This paper investigates the transient stability of power systems co-dominated by different types of grid-forming (GFM) devices. Synchronous generators (SGs and VSGs) and droop-controlled inverters are typical GFM devices in modern power…

系统与控制 · 电气工程与系统科学 2023-01-13 Xiuqiang He , Hua Geng

Converter-based generators and loads are growing in prevalence on power grids across the globe. The rise of these resources necessitates controllers that handle the power electronic devices' strict current limits without jeopardizing…

系统与控制 · 电气工程与系统科学 2026-03-19 Lauren Streitmatter , Trager Joswig-Jones , Baosen Zhang

In this paper, a neural network predictive controller is proposed to regulate the active and the reactive power delivered to the grid generated by a three-phase virtual inertia-based inverter. The concept of the conventional virtual…

神经与进化计算 · 计算机科学 2019-08-15 Sepehr Saadatmand , Mohammad Saleh Sanjarinia , Pourya Shamsi , Mehdi Ferdowsi , Donald C. Wunsch

Existing approaches to robust global asymptotic stabilization of a pair of antipodal points on unit $n$-sphere $\mathbb{S}^n$ typically involve the non-centrally synergistic hybrid controllers for attitude tracking on unit quaternion space.…

系统与控制 · 电气工程与系统科学 2024-03-08 Xin Tong , Shing Shin Cheng

We analyze robust stability, in an input-output sense, of switched stable systems. The primary goal (and contribution) of this paper is to design switching strategies to guarantee that input-output stable systems remain so under switching.…

最优化与控制 · 数学 2009-06-03 Denis Efimov , Elena Panteley , Antonio Loria

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

量子物理 · 物理学 2017-09-13 B. Militello , H. Nakazato , A. Napoli

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…

物理与社会 · 物理学 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

Hybrid systems combine both discrete and continuous state dynamics. Power electronic inverters are inherently hybrid systems: they are controlled via discrete-valued switching inputs which determine the evolution of the continuous-valued…

系统与控制 · 电气工程与系统科学 2023-01-02 Gabriel E. Colón-Reyes , Kaylene C. Stocking , Duncan S. Callaway , Claire J. Tomlin

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

系统与控制 · 电气工程与系统科学 2020-03-11 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the…

系统与控制 · 电气工程与系统科学 2025-11-10 Sushobhan Chatterjee , Sijia Geng

Based on recent works on transverse exponential stability, we establish some necessary and sufficient conditions for the existence of a (locally) exponential synchronizing control law. We show that the existence of a structured synchronizer…

动力系统 · 数学 2018-01-29 Vincent Andrieu , Bayu Jayawardhana , Sophie Tarbouriech

The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on…

物理与社会 · 物理学 2021-09-24 Takashi Nishikawa , Adilson E. Motter

A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

最优化与控制 · 数学 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

This paper presents a novel anti-windup proportional-integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory to force the integrator state to remain in a desired…

最优化与控制 · 数学 2022-07-19 Pietro Lorenzetti , George Weiss

An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibrium phase difference. In this paper, we investigate the…

动力系统 · 数学 2014-05-13 Vishaal Krishnan , Arun D. Mahindrakar , Somashekhar S. Hiremath

This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

动力系统 · 数学 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine