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The primary goal of Optimal Power Flow (OPF) is to optimize the operation of a power system while meeting the demand and adhering to operational constraints. This paper presents a new approach for AC OPF. First, the approach constructs a…

Optimization and Control · Mathematics 2025-12-16 Mohammed N. Khamees , Kai Sun

Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the…

Optimization and Control · Mathematics 2020-09-25 Daniel Bienstock , Mauro Escobar , Claudio Gentile , Leo Liberti

Phasor measurement units (PMUs) create ample real-time monitoring opportunities for modern power systems. Among them, line outage detection and identification remains a crucial but challenging task. Current works on outage identification…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Xiaozhou Yang , Nan Chen

In this paper, we introduce a mathematical model to describe the nanoparticles transport carried by a two-phase flow in a porous medium including gravity, capillary forces and Brownian diffusion. Nonlinear iterative IMPES scheme is used to…

Numerical Analysis · Mathematics 2013-10-18 M. F. El-Amin , Jisheng Kou , Shuyu Sun , Amgad Salama

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

In this paper, a hybrid measurement and model-based method is proposed which can estimate the dynamic state Jacobian matrix in near real-time. The proposed method is computationally efficient and robust to the variation of network topology.…

Systems and Control · Computer Science 2015-10-27 Xiaozhe Wang , Konstantin Turitsyn

An in-depth analysis of linearized branch flow (LBF) model considering current injection and absolute value of impedance is proposed in this paper. The form of LBF model is based on two equations: the current injection to meet KCL and the…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Hanyang Lin , Xinwei Shen , Qinglai Guo , Hongbin Sun

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

Realistic two-phase flow problems of interest often involve high $Re$ flows with high density ratios. Accurate and robust simulation of such problems requires special treatments. In this work, we present a consistent, energy-conserving…

Fluid Dynamics · Physics 2019-12-24 Shahab Mirjalili , Ali Mani

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

A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

The equivalent split-circuit formulation is a novel approach that has recently been applied to a range of power system related problems. As a result, a linear and a nonlinear method for power system state estimation with simultaneous…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

Optimization and Control · Mathematics 2018-10-30 Mauro Viegas da Silva , Mahdi Pourakbari-Kasmaei , J. Roberto Sanches Mantovani

Pricing the reactive power is more necessary than ever before because of the increasing challenge of renewable energy integration on reactive power balance and voltage control. However, reactive power price is hard to be efficiently…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Yanghao Yu , Qingchun Hou , Yi Ge , Guojing Liu , Ning Zhang

Bus-clamping Pulse Width Modulation (PWM) is an effective method to reduce the switching loss in a three-phase voltage source inverter (VSI). In bus-clamping PWM scheme, the phase legs are switched using high frequency PWM signals for…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Reza Asrar Ghaderloo , Yidi Shen , Chanaka Singhabahu , Rakesh Resalayyan , Alireza Khaligh

Proper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a…

Optimization and Control · Mathematics 2020-10-08 Jakub Ševčík , Lukáš Adam , Jan Přikryl , Václav Šmídl

Neural warm starts can sharply reduce the number of Newton-Raphson iterations required to solve the AC power flow problem, but existing supervised approaches generalize poorly on heavily loaded instances near voltage collapse. We prove a…

Machine Learning · Computer Science 2026-05-13 Shourya Bose , Helgi Hilmarsson , Dhruv Suri

Machine learning and computational intelligence technologies gain more and more popularity as possible solution for issues related to the power grid. One of these issues, the power flow calculation, is an iterative method to compute the…

Machine Learning · Computer Science 2022-04-21 Stephan Balduin , Eric MSP Veith , Sebastian Lehnhoff

In this paper we propose and demonstrate the potential for unifying models and algorithms for the steady state and transient simulation of single-phase and three-phase power systems. At present, disparate algorithms and models are used for…

Signal Processing · Electrical Eng. & Systems 2018-08-14 Amritanshu Pandey , Marko Jereminov , Xin Li , Gabriela Hug , Larry Pileggi

Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar