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An electric power distribution system is operated in several distinct radial topologies by opening and closing of system's sectionalizing and tie switches. The estimation of the system's current operational topology is a precursor to…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Anandini Gandluru , Shiva Poudel , Anamika Dubey

Recent work on complex networks compared the topological and electrical structures of the power grid, taking into account the underlying physical laws that govern the electrical connectivity between various components in the network. A…

Systems and Control · Computer Science 2013-09-06 K. G. Nagananda

To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the Gauss--Newton method. But the nonconvexity of the…

Optimization and Control · Mathematics 2025-04-01 Iven Guzel , Richard Y. Zhang

The linearization of a power flow (PF) model is an important approach for simplifying and accelerating the calculation of a power system's control, operation, and optimization. Traditional model-based methods derive linearized PF models by…

Systems and Control · Computer Science 2017-10-31 Yuxiao Liu , Ning Zhang , Yi Wang , Jingwei Yang , Chongqing Kang

In this paper, we consider a chance-constrained formulation of the optimal power flow problem to handle uncertainties resulting from renewable generation and load variability. We propose a tuning method that iterates between solving an…

Optimization and Control · Mathematics 2020-05-28 Ashley M. Hou , Line A. Roald

As the growing penetration of inverter-based resources (IBRs) in modern power systems, the system strength is decreasing. Due to the inherent difference in short-circuit capacity contributions of synchronous generators and inverters, the…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Zitian Qiu , Yunjie Gu

This paper presents novel methods to approximate the nonlinear AC optimal power flow (OPF) into tractable linear/quadratic programming (LP/QP) based OPF problems that can be used for power system planning and operation. We derive a linear…

Systems and Control · Computer Science 2019-03-19 Philipp Fortenbacher , Turhan Demiray

Power system dynamics are naturally nonlinear. The nonlinearity stems from power flows, generator dynamics, and electromagnetic transients. Characterizing the nonlinearity of the dynamical power system model is useful for designing superior…

Systems and Control · Computer Science 2019-06-19 Sebastian A. Nugroho , Ahmad F. Taha , Junjian Qi

We propose an approach based on neural networks and the AC power flow equations to identify single- and double-line outages in a power grid using the information from phasor measurement unit sensors (PMUs) placed on only a subset of the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-28 Ching-pei Lee , Stephen J. Wright

Recently there has been a lot of progress in the development of economic nonlinear model predictive control (NMPC) schemes for multistage optimal power flow (OPF) problems. However, the additional inclusion of discrete decision variables to…

Optimization and Control · Mathematics 2026-05-28 Jürgen Gutekunst , Armin Nurkanovic , Ekaterina Kostina , Hans Georg Bock , Robert Scholz , Amer Mesanovic

This paper introduces a new model for highly accurate distribution voltage solutions, coined as a parameterized linear power flow model. The proffered model is grounded on a physical model of linear power flow equations, and uses…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Marija Marković , Bri-Mathias Hodge

Critical infrastructure systems must be both robust and resilient in order to ensure the functioning of society. To improve the performance of such systems, we often use risk and vulnerability analysis to find and address system weaknesses.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Jonas Johansson , Henrik Hassel , Seth Guikema

The probabilistic power flow (PPF) problem is essential to quantifying the distribution of the nodal voltages due to uncertain injections. The conventional PPF problem considers a fixed topology, and the solutions to such a PPF problem are…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Sel Ly , Kapil Chauhan , Anshuman Singh , Hung Dinh Nguyen

We propose a novel decentralized mixed algebraic and dynamic state observation method for multi-machine power systems with unknown inputs and equipped with Phasor Measurement Units (PMUs). More specifically, we prove that for the…

Systems and Control · Electrical Eng. & Systems 2020-11-11 M. Nicolai L. Lorenz-Meyer , Alexey A. Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer

Power flow analysis is a fundamental tool for power system analysis, planning, and operational control. Traditional Newton-Raphson methods suffer from limitations such as initial value sensitivity and low efficiency in batch computation,…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Xuezhi Liu

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

Systems and Control · Computer Science 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov

Solving the optimal power flow problem is one of the main objectives in electrical power systems analysis and design. The modern optimization algorithms such as the evolutionary algorithms are also adopted to solve this problem, especially…

Computational Engineering, Finance, and Science · Computer Science 2016-01-19 Mohamed Abuella , Constantine Hatziadoniu

The outage of a transmission line may change the system phase angle differences to the point that the system experience stress conditions. Hence, the angle differences for post-contingency condition of a transmission lines should be…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Elham Foruzan , Sajjad Abedi , Jeremy Lin , Sohrab Asgarpoor , Emanuel Bernabeu

This paper presents a new approach for identifying the measurement error in the DC power flow state estimation problem. The proposed algorithm exploits the singularity of the impedance matrix and the sparsity of the error vector by posing…

Information Theory · Computer Science 2016-08-29 M. Hadi Amini , Mostafa Rahmani , Kianoosh G. Boroojeni , George Atia , S. S. Iyengar , Orkun Karabasoglu

The solution space of any set of power flow equations may contain different number of real-valued solutions. The boundaries that separate these regions are referred to as power flow solution space boundaries. Knowledge of these boundaries…

Systems and Control · Computer Science 2017-04-18 Souvik Chandra , Dhagash Mehta , Aranya Chakrabortty