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We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

The paper introduces the concept of complex frequency. The imaginary part of the complex frequency is the variation with respect of a synchronous reference of the local bus frequency as commonly defined in power system studies. The real…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Federico Milano

We propose a generalized dynamic phasor (DP) framework to analyze inverter-based resources (IBRs) connected to multi-machine systems under balanced and unbalanced conditions. It captures subsynchronous oscillations (SSOs) induced by…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Fiaz Hossain , Nilanjan Ray Chaudhuri , Constantino M. Lagoa

We present the first solution to the problem of estimation of the state of multimachine power systems with lossy transmission lines. We consider the classical three-dimensional \fluxdecay" model of the power system and assume that the…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer

This paper describes an adaptive method to reduce a nonlinear power system model for fast and accurate transient stability simulation. It presents an approach to analyze and rank participation factors of each system state variable into…

Dynamical Systems · Mathematics 2023-02-21 Mahsa Sajjadi , Kaiyang Huang , Kai Sun

This study explores data-driven modeling techniques to capture the dynamics of a grid-forming converter-based infinite bus system, critical for renewable-integrated power grids. Using sparse identification of nonlinear dynamics and deep…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Amir Bahador Javadi , Philip Pong

First we present an approach to formulate unbalanced three-phase power flow problems for general networks that explicitly separates device models and network models. A device model consists of (i) an internal model and (ii) a conversion…

Optimization and Control · Mathematics 2022-07-27 Steven H. Low

The smart transformer (ST) implemented using power electronics converters, has the capability of independent voltage control and reactive power isolation between its primary and secondary terminals. This capability provides a flexibility in…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Junru Chen , Ran Li , Alireza Soroudi , Andrew Keane , Damian Flynn , Terence ODonnell

Power domination is a graph theoretic model which captures how phasor measurement units (PMUs) can be used to monitor a power grid. Fragile power domination takes into account the fact that PMUs may break or otherwise fail. In this model,…

Combinatorics · Mathematics 2025-07-22 Beth Bjorkman , Sean English , Johnathan Koch , Amanda Verga

Understanding the feasible power flow region is of central importance to power system analysis. In this paper, we propose a geometric view of the power system loadability problem. By using rectangular coordinates for complex voltages, we…

Optimization and Control · Mathematics 2018-07-31 Y. Weng , R. Rajagopal , B. Zhang

Security assessment of large-scale, strongly nonlinear power grids containing thousands to millions of interacting components is a computationally expensive task. Targeting at reducing the computational cost, this paper introduces a…

Systems and Control · Computer Science 2017-11-01 Thanh Long Vu , Konstantin Turitsyn

As field-programmable gate arrays become prevalent in critical application domains, their power consumption is of high concern. In this paper, we present and evaluate a power monitoring scheme capable of accurately estimating the runtime…

Hardware Architecture · Computer Science 2020-09-04 Zhe Lin , Sharad Sinha , Wei Zhang

The power system state estimation (SE) algorithm estimates the complex bus voltages based on the available set of measurements. Because phasor measurement units (PMUs) are becoming more widely employed in transmission power systems, a fast…

Machine Learning · Computer Science 2022-06-07 Ognjen Kundacina , Mirsad Cosovic , Dejan Vukobratovic

A major aspect in power line distribution networks is the constant monitoring of the network properties. With the advent of the smart grid concept, distributed monitoring has started complementing the information of the central stations. In…

Physics and Society · Physics 2019-02-07 Federico Passerini , Andrea M. Tonello

Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All these changes, while potentially making power grids more…

Optimization and Control · Mathematics 2015-02-06 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

Optimization and Control · Mathematics 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

Accurate transient stability assessment is a crucial prerequisite for proper power system operation and planning with various operational constraints. Transient stability assessment of modern power systems is becoming very challenging due…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Umair Shahzad

This paper formulates an inverse power flow problem which is to infer a nodal admittance matrix (hence the network structure of a power system) from voltage and current phasors measured at a number of buses. We show that the admittance…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Ye Yuan , Steven Low , Omid Ardakanian , Claire Tomlin

This paper presents a new systematic framework for nonlinear singularly perturbed systems in which state-dependent perturbation functions are used instead of constant perturbation coefficients. Under this framework, general results are…

Optimization and Control · Mathematics 2024-06-04 Tengfei Liu , Zhong-Ping Jiang

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim
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