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While power systems are reliable infrastructures, their complex interconnectivities allow for propagation of disturbances through cascading failures which causes blackouts. Meanwhile the ever increasing penetration level of renewable…

Applied Physics · Physics 2017-07-03 Mir Hadi Athari , Zhifang Wang

The magnitude of the August 2003 blackout affecting the United States has put the challenges of energy transmission and distribution into limelight. Despite all the interest and concerted effort, the complexity and interconnectivity of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Reka Albert , Istvan Albert , Gary L. Nakarado

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

The function or performance of a network is strongly dependent on its robustness, quantifying the ability of the network to continue functioning under perturbations. While a wide variety of robustness metrics have been proposed, they have…

Social and Information Networks · Computer Science 2023-06-16 Liwang Zhu , Qi Bao , Zhongzhi Zhang

The unique problems and phenomena in the distributed voltage control of large-scale power distribution systems with extremely-high DER-penetration are targeted in this paper. First, a DER-explicit distribution network model and voltage…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Ying Xu , Zhihua Qu

The output impedance matrix of a grid-connected converter plays an important role in analyzing system stability. Due to the dynamics of the DC-link control and the phase locked loop (PLL), the output impedance matrices of the converter and…

Systems and Control · Computer Science 2017-06-20 Huanhai Xin , Ziheng Li , Wei Dong , Leiqi Zhang , Zhen Wang , Jian Zhao

We study a fundamental measure for wireless interference in the SINR model known as (weighted) inductive independence. This measure characterizes the effectiveness of using oblivious power --- when the power used by a transmitter only…

Data Structures and Algorithms · Computer Science 2013-10-04 Magnus M. Halldorsson , Stephan Holzer , Pradipta Mitra , Roger Wattenhofer

Large-scale integration of inverter-based resources into power grids worldwide is challenging their stability and security. This paper takes a closer look at synchronous condensers as a solution to mitigate stability challenges caused by…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Amir Sajadi , Barry Mather , Bri-Mathias Hodge

Recently, there has been a growing concern about the overload status of the power grid networks, and the increasing possibility of cascading failures. Many researchers have studied these networks to provide design guidelines for more robust…

Physics and Society · Physics 2012-12-27 Sakshi Pahwa , Caterina Scoglio , Noel Schulz

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerability patterns are linked to the left Laplacian eigenvectors…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Anton Plietzsch , Sabine Auer , Jürgen Kurths , Frank Hellmann

In the electrical grid, the distribution system is themost vulnerable to severe weather events. Well-placed and coordinatedupgrades, such as the combination of microgrids, systemhardening and additional line redundancy, can greatly reduce…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Arthur Barnes , Harsha Nagarajan , Emre Yamangil , Russell Bent , Scott Backhaus

We consider resonant patch antennas, implemented using loaded transmission-line networks and other exotic structures having engineered dispersion. An analytical expression is derived for the ratio of radiation quality factors of such…

Classical Physics · Physics 2009-11-13 Pekka Ikonen , Pekka Alitalo , Sergei Tretyakov

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

Physics and Society · Physics 2021-07-07 Heetae Kim

The increasing penetration of intermittent distributed energy resources in power networks calls for novel planning and control methodologies which hinge on detailed knowledge of the grid. However, reliable information concerning the system…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Chongbin Zhao , Qirong Jiang

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Stochastic feed-in of fluctuating renewable energies is steadily increasing in modern electricity grids and this becomes an important risk factor for maintaining power grid stability. Here we study the impact of wind power feed-in on the…

Adaptation and Self-Organizing Systems · Physics 2019-11-04 Matthias F. Wolff , Katrin Schmietendorf , Pedro G. Lind , Oliver Kamps , Joachim Peinke , Philipp Maass

The admittance matrix encodes the network topology and electrical parameters of a power system in order to relate the current injection and voltage phasors. Since admittance matrices are central to many power engineering analyses, their…

Optimization and Control · Mathematics 2026-01-21 Daniel Turizo , Daniel K. Molzahn

The increased need for reliable, resilient, and high quality power combined with a falling cost of distributed generation technologies has resulted in a rapid growth of microgrid in power systems. Although providing multitude of benefits,…

Systems and Control · Computer Science 2016-02-05 Sina Parhizi , Amin Khodaei

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut