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The assessment of reactive power demand plays an instrumental role in power system planning. This paper presents a methodology for calculating reactive power demand based on a two-step approach. Unlike existing methodologies in the…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Hassan Abouelgheit , Hendrik Lens

This letter focuses on the multiplicity of power flow (PF) equations and presents two continuous solutions for widely studied IEEE-14 bus system. The continuous solutions are located by a method combining the semidefinite program (SDP)…

Optimization and Control · Mathematics 2018-10-30 Bin Liu , Feng Liu , Bingxu Zhai , Haibo Lan

The Planar Model of the Electrode-Vacuum-Electrode configuration for STM in which electrode surfaces are assumed to be infinite parallel planes, with atomic size separation and vacuum between them, is used to calculate tunneling current…

Other Condensed Matter · Physics 2023-01-04 Malati Dessai , Arun V. Kulkarni

For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient…

Optimization and Control · Mathematics 2014-02-03 Daniel K. Molzahn , Bernard C. Lesieutre , Christopher L. DeMarco

The phasor measurement unit (PMU) placement problem is revisited by taking into account a stronger characterization of the electrical connectedness between various buses in the grid. To facilitate this study, the placement problem is…

Systems and Control · Computer Science 2015-05-19 K. G. Nagananda , Shalinee Kishore , Rick S. Blum

Probabilistic load flow (PLF) calculation, as a fundamental tool to analyze transmission system behavior, has been studied for decades. Despite a variety of available methods, existing PLF approaches rarely take system control into account.…

Systems and Control · Electrical Eng. & Systems 2022-03-02 Mengshuo Jia , Qianni Cao , Chen Shen , Gabriela Hug

The most commonly used weighted least square state estimator in power industry is nonlinear and formulated by using conventional measurements such as line flow and injection measurements. PMUs (Phasor Measurement Units) are gradually adding…

Systems and Control · Computer Science 2017-03-22 Hossein A. Sangrody , Mohammad Taghi Ameli

Effective power flow modeling critically affects the ability to efficiently solve large-scale grid optimization problems, especially those with topology-related decision variables. In this work, we put forth a generative modeling approach…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Young-ho Cho , Hao Zhu

This paper presents a quadratic approximation for the optimal power flow in power distributions systems. The proposed approach is based on a linearized load flow which is valid for power distribution systems including three-phase unbalanced…

Optimization and Control · Mathematics 2016-10-05 Alejandro Garces

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow parametrization of the power system state, which is particularly…

Optimization and Control · Mathematics 2017-04-03 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Parikshit Pareek , Chuan Wang , Hung D. Nguyen

The utility of domain-specific knowledge for modeling, simulation, and optimization has been demonstrated for various research problem domains, including power systems. The concept of Equivalent Circuit Programming was previously developed…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Marko Jereminov , Larry Pileggi

Deep learning has emerged as an effective solution for addressing the challenges of short-term voltage stability assessment (STVSA) in power systems. However, existing deep learning-based STVSA approaches face limitations in adapting to…

Machine Learning · Computer Science 2023-09-21 Yang Li , Shitu Zhang , Yuanzheng Li , Jiting Cao , Shuyue Jia

Industrial and power systems rely on engineering predictions of the flow properties of working fluids. The paper proposes a way of the utilization of the vapor quality values along the new retrograde condensation curve in the generation of…

Fluid Dynamics · Physics 2014-02-14 Mark S. Labinov

We consider a linear power flow model with interval-bounded nodal power injections and limited line power flows. We determine the minimal number of power injections to control based on a minimal set of measurements, such that the overall…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Edwin Mora , Florian Steinke

In this work we introduce PowerModelsDistribution, a free, open-source toolkit for distribution power network optimization, whose primary focus is establishing a baseline implementation of steady-state multi-conductor unbalanced…

Computational Engineering, Finance, and Science · Computer Science 2020-12-09 David M Fobes , Sander Claeys , Frederik Geth , Carleton Coffrin

Accurately monitoring the system's operating point is central to the reliable and economic operation of an electric power grid. Power system state estimation (PSSE) aims to obtain complete voltage magnitude and angle information at each bus…

Systems and Control · Computer Science 2018-03-14 Gang Wang , Ahmed S. Zamzam , Georgios B. Giannakis , Nicholas D. Sidiropoulos

Increasing shares of fluctuating renewable energy sources induce higher and higher power flow variability at the transmission level. The question arises as to what extent existing networks can absorb additional fluctuating power injection…

Systems and Control · Computer Science 2014-11-18 Markus Schläpfer , Pierluigi Mancarella

Developing deep learning models with strong adaptability to topological variations is of great practical significance for power flow analysis. To enhance model performance under variable system scales and improve robustness in branch power…

Machine Learning · Computer Science 2026-01-06 Yongzhe Li , Lin Guan , Zihan Cai , Zuxian Lin , Jiyu Huang , Liukai Chen
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