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This paper investigates equilibrium points and stability in two synchronous machine configurations: (i) a single generator with an impedance load and (ii) two interconnected machines with co-located loads. We consider both abc and dq…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Maryam Khodabakhshloo , Elizabeth L. Ratnam , Ian R. Petersen

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

This paper addresses the oscillatory synchronization problem for multiple uncertain mechanical systems with a virtual leader, and the interaction topology among them is assumed to contain a directed spanning tree. We propose an adaptive…

Systems and Control · Computer Science 2015-03-18 Hanlei Wang

Many countries' policies have shifted rapidly towards using renewable energy for climate reasons. As a result, inverter-based resources are beginning to dominate power systems. Key elements for managing the loss of conventional generators…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Waleed Breesam , Stefan M. Goetz

We assess the power consumption of network synchronisation protocols, particularly the energy required to synchronise all nodes across a network. We use the widely adopted approach of bio-inspired, pulse-coupled oscillators to achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Paul Gainer , Sven Linker , Clare Dixon , Ullrich Hustadt , Michael Fisher

This paper investigates the transient synchronization stability in power systems hybridized with virtual synchronous generators (VSGs) and synchronous generators (SGs). A relative swing equation model is established to capture the transient…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Changjun He , Li Zhang , Qi Liu , Rui Zou

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

We consider a simple system with a local synchronous generator and a load whose power consumption is a random process. The most probable scenario of system failure (synchronization loss) is considered, and it is argued that its knowledge is…

Optimization and Control · Mathematics 2013-10-01 Misha Stepanov , Aditya Sundarrajan

We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi , K. Park , B. -G. Yoon , K. -S. Soh

We study the synchronization in a one dimensional array of point Josephson junctions coupled to a common capacitor, which establishes a long-range interaction between junctions and synchronizes them. The stability diagram of synchronization…

Superconductivity · Physics 2015-03-19 Shi-Zeng Lin , Xiao Hu , Lev Bulaevskii

This paper addresses important control and observability aspects of the phase synchronization of two oscillators. To this aim a feedback control framework is proposed based on which issues related to master-slave synchronization are…

Chaotic Dynamics · Physics 2018-06-26 Luis Antonio Aguirre , Leandro Freitas

We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load…

Statistical Mechanics · Physics 2009-10-21 Lenka Zdeborová , Aurélien Decelle , Michael Chertkov

With the growing number of severe system disturbances and blackouts around the world, controlled system separation is becoming an increasingly important system integrity protection scheme (SIPS) to save the electric power system from a…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Ilya Tyuryukanov , Marjan Popov , Jorrit A. Bos , Mart A. M. M. van der Meijden , Vladimir Terzija

In distribution networks, there are slow controlling devices and fast controlling devices for Volt-VAR regulation. These slow controlling devices, such as capacitors or voltage regulators, cannot be operated frequently and should be…

Systems and Control · Computer Science 2017-05-09 Weiye Zheng , Wenchuan Wu , Boming Zhang , Yongjie Wang

Clock synchronization is a widely discussed topic in the engineering literature. Ensuring that individual clocks are closely aligned is important in network systems, since the correct timing of various events in a network is usually…

Systems and Control · Computer Science 2017-04-25 Timothy Anglea , Yongqiang Wang

Inverter-dominated microgrids are quickly becoming a key building block of future power systems. They rely on centralized controllers that can provide reliability and resiliency in extreme events. Nonetheless, communication failures due to…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Siddharth Bhela , Abhishek Banerjee , Ulrich Muenz , Joachim Bamberger

Increasing electric current from a single-electron source is a main challenge in an effort to establish the standard of the ampere defined by the fixed value of the elementary charge $e$ and operation frequency $f$. While the current scales…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 S. Norimoto , P. See , N. Schoinas , I. Rungger , T. O. Boykin , M. D. Stewart , J. P. Griffiths , C. Chen , D. A. Ritchie , M. Kataoka

In this paper we study the question of how to reconstruct the state of a power system using Phasor Measurement Units (PMUs). In our previous research we proved that this question has an affirmative answer imposing some rather strict…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Alexey Bobtsov , Romeo Ortega , Nicolai Lorenz-Meyer , Johannes Schiffer

The problem of synchronization over a group $\mathcal{G}$ aims to estimate a collection of group elements $G^*_1, \dots, G^*_n \in \mathcal{G}$ based on noisy observations of a subset of all pairwise ratios of the form $G^*_i {G^*_j}^{-1}$.…

Optimization and Control · Mathematics 2023-06-19 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

This paper investigates a planar tracking problem between a leader and follower agent. We propose a novel feedback speed control law, paired with a constant bearing steering strategy, to maintain an abreast formation between the two agents.…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Xincheng Li , Tengyue Liu , Udit Halder