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This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

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 proposes a novel and simple linear model to capture line losses for use in linearized DC models, such as optimal power flow (DC-OPF) and security-constrained economic dispatch (SCED). The \textit{Line Loss Outer Approximation}…

Optimization and Control · Mathematics 2021-12-28 Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

This paper presents a fractional approximation of the AC optimal power flow (AC OPF) problem based on an all-pass approximation of the exponential power flow kernel. The classical AC OPF relies on trigonometric coupling between bus voltage…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Milad Hasanzadeh , Amin Kargarian , Javad Lavaei

Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification…

Optimization and Control · Mathematics 2022-04-12 Yue Song , David J. Hill , Tao Liu , Tianlun Chen

The non-linearity and non-convexity of power flow models and the phase coupling challenge the analysis and optimization of unbalanced distribution networks. To tackle the challenges, this paper proposes an online feedback-based linearized…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Rui Cheng , Zhaoyu Wang , Yifei Guo

Distribution power systems (DPSs) are mostly unbalanced, and their loads may have notable static voltage characteristics (ZIP loads). Hence, despite abundant papers on linear single-phase power flow models, it is still necessary to study…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Yitong Liu , Zhengshuo Li , Yu Zhou

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

DC Optimal Power Flow (DCOPF) is widely utilized in power system operations due to its simplicity and computational efficiency. However, its lossless, reactive power-agnostic model often yields dispatches that are infeasible under practical…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Michael A. Boateng , Russell Bent , Sidhant Misra , Parikshit Pareek , Pascal Van Hentenryck , Daniel Molzahn

Obtaining good initial conditions to solve the Newton-Raphson (NR) based ac power flow (ACPF) problem can be a very difficult task. In this paper, we propose a framework to obtain the initial bus voltage magnitude and phase values that…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Liangjie Chen , Joseph Euzebe Tate

Despite strong connections through shared application areas, research efforts on power market optimization (e.g., unit commitment) and power network optimization (e.g., optimal power flow) remain largely independent. A notable illustration…

Optimization and Control · Mathematics 2020-09-02 Carleton Coffrin , Bernard Knueven , Jesse Holzer , Marc Vuffray

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

Optimization and Control · Mathematics 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

This paper establishes a sufficient condition for guaranteeing power flow solvability in distribution grids with inverter-based resources (IBRs) operating under IEEE 1547 compliant Volt-Var control. While designed to improve voltage…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Taha Saeed Khan , Hamidreza Nazaripouya

High levels of penetration of distributed generation and aggressive reactive power compensation with modern power electronics may result in the reversal of active and reactive power flows in future distribution grids. The voltage stability…

Chaotic Dynamics · Physics 2014-07-09 Hung D. Nguyen , Konstantin Turitsyn

This paper proposes a new linear power flow model for distribution system with accurate voltage magnitude estimates. The new model can be seen as a generalization of LinDistFlow model to multiphase distribution system with generic network…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Jianqiao Huang , Bai Cui , Xinyang Zhou , Andrey Bernstein

With the rapid development of renewable and distributed energies, the underlying dynamics of power systems are no longer dominated by large synchronous generators, but by numerous dynamic components with heterogeneous characteristics. In…

Systems and Control · Electrical Eng. & Systems 2019-07-30 Peng Yang , Feng Liu , Zhaojian Wang , Shicong Ma

This paper presents a tensor-recovery method to solve probabilistic power flow problems. Our approach generates a high-dimensional and sparse generalized polynomial-chaos expansion that provides useful statistical information. The result…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 Zheng Zhang , Hung Dinh Nguyen , Konstantin Turitsyn , Luca Daniel

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