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The high penetration of converter-based renewable energy sources has brought challenges to the power system frequency control. It is essential to consider the frequency security constraints and frequency control reserve requirements in unit…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Likai Liu , Zechun Hu

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

This paper outlines an optimization framework for choosing fast and reliable control actions in a transmission grid emergency situation. We consider contractual load shedding and generation re-dispatch as exemplary emergency actions. To…

Optimization and Control · Mathematics 2017-07-25 Sidhant Misra , Line Roald , Marc Vuffray , Michael Chertkov

We propose an optimization framework for stochastic optimal power flow with uncertain loads and renewable generator capacity. Our model follows previous work in assuming that generator outputs respond to load imbalances according to an…

Optimization and Control · Mathematics 2019-10-11 Rohit Kannan , James R. Luedtke , Line A. Roald

The ever increasing penetration of Renewable Energy Resources (RESs) in power distribution networks has brought, among others, the challenge of maintaining the grid voltages within the secure region. Employing droop voltage regulators on…

Optimization and Control · Mathematics 2022-03-18 H. Sekhavatmanesh , G. Ferrari-Trecate , S. Mastellone

In order to coordinate the economy and voltage quality of a meshed AC/VSC-MTDC system, a new corrective security-constrained multi-objective optimal power flow (SC-MOPF) method is presented in this paper. A parallel SC-MOPF model with N-1…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Yahui Li , Yang Li

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

Optimization and Control · Mathematics 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior…

Systems and Control · Computer Science 2017-11-07 Amritanshu Pandey , Marko Jereminov , Gabriela Hug , Larry Pileggi

In this paper we consider the problem of analyzing the effect a change in the load vector can have on the optimal power generation in a DC power flow model. The methodology is based upon the recently introduced concept of the…

Optimization and Control · Mathematics 2020-04-06 James Anderson , Fengyu Zhou , Steven H. Low

We explore machine learning methods for AC Optimal Powerflow (ACOPF) - the task of optimizing power generation in a transmission network according while respecting physical and engineering constraints. We present two formulations of ACOPF…

Machine Learning · Computer Science 2019-10-22 Neel Guha , Zhecheng Wang , Matt Wytock , Arun Majumdar

The rapid growth of large data center loads and inverter-based generation is increasing the stress on transmission networks, while expanding grid capacity at the required pace remains challenging. Power flow controllers (PFCs) that adjust…

Optimization and Control · Mathematics 2025-11-20 Eric Haag , Yuhao Chen , Giri Venkataramanan , Manish K. Singh

Higher shares of electricity generation from renewable energy sources and market liberalization is increasing uncertainty in power systems operation. At the same time, operation is becoming more flexible with improved control systems and…

Optimization and Control · Mathematics 2016-09-09 Line Roald , Sidhant Misra , Thilo Krause , Goran Andersson

In this paper, we present a novel transformer architecture tailored for learning robust power system state representations, which strives to optimize power dispatch for the power flow adjustment across different transmission sections.…

Machine Learning · Computer Science 2024-12-02 Kaixuan Chen , Wei Luo , Shunyu Liu , Yaoquan Wei , Yihe Zhou , Yunpeng Qing , Quan Zhang , Jie Song , Mingli Song

In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution…

Typical formulations of the optimal power flow (OPF) problem rely on what is termed the "bus-branch" model, with network electrical behavior summarized in the Ybus admittance matrix. From a circuit perspective, this admittance…

Optimization and Control · Mathematics 2017-06-06 Byungkwon Park , Jayanth Netha , Michael C. Ferris , Christopher L. DeMarco

We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled…

Probability · Mathematics 2020-04-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart