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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

The concept of impedance, which characterises the current response to a periodical driving, is introduced in the context of stochastic transport. In particular, we calculate the impedance for an exactly solvable model, namely the stochastic…

Statistical Mechanics · Physics 2020-06-24 Bart Cleuren , Karel Proesmans

Networks of coupled neural systems represent an important class of models in computational neuroscience. In some applications it is required that equilibrium points in these networks remain stable under parameter variations. Here we present…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wilson A. Truccolo , Govindan Rangarajan , Yonghong Chen , Mingzhou Ding

Networked power grid systems are susceptible to a phenomenon known as Coherent Swing Instability (CSI), in which a subset of machines in the grid lose synchrony with the rest of the network. We develop network level evaluation metrics to…

Physics and Society · Physics 2019-05-24 Daniel Dylewsky , Xiu Yang , Alexandre Tartakovsky , J. Nathan Kutz

This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac

We present a formulation of the determination of the impedance between any two nodes in an impedance network. An impedance network is described by its Laplacian matrix L which has generally complex matrix elements. We show that by solving…

Mathematical Physics · Physics 2009-11-11 W. J. Tzeng , F. Y. Wu

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

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

This work addresses the problem of transient stabilization of a power grid, following a destabilizing disturbance. The model considered is the cascade interconnection of seven New England test models with the disturbance (e.g., a powerline…

Optimization and Control · Mathematics 2018-03-29 Milan Korda , Yoshihiko Susuki , Igor Mezić

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

Optimization and Control · Mathematics 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

In this paper, we study the interdependency between the power grid and the communication network used to control the grid. A communication node depends on the power grid in order to receive power for operation, and a power node depends on…

Optimization and Control · Mathematics 2014-05-13 Marzieh Parandehgheibi , Eytan Modiano , David Hay

The line potential energy in the cutset is used as the criterion for monitoring the generator instability, but the criterion has the following two limitations due to narrowly defined conditions. The assumption of an ideal constant power…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Xiao Li , Chongru Liu , Jin Ma

This overview presents a collection of results from classical electrical network theory concerning properties of the network admittance matrix, and the relationship between electrical characteristics of the network and various mathematical…

History and Overview · Mathematics 2025-07-22 Anthony B. Morton

The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Sven Knuefer , Matthias A. Mueller

A central problem in the operation of large wireless networks is how to deal with interference -- the unwanted signals being sent by transmitters that a receiver is not interested in. This thesis looks at ways of combating such…

Information Theory · Computer Science 2011-09-07 Matthew Aldridge

A short review is presented of a recently developed computational approach which allows the study of the resistance noise over the full range of bias values, from the linear regime up to electrical breakdown. Resistance noise is described…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cecilia Pennetta

This letter presents a comprehensive analysis of the stability phenomenon related to the ability of generators to remain in synchronism when subjected to small or large disturbances, in power systems with both synchronous machines and…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Régulo E. Ávila-Martínez , Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

Interference alignment (IA) adjusts signaling scheme such that all interfering signals are squeezed in interference subspace. IA mostly achieves its performance via infinite extension of the channel, which is a major challenge for IA in…

Information Theory · Computer Science 2018-07-16 Zainalabedin Samadi , Vahid Tabatabavakili , Farzan Haddadi

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann