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This paper proposes a coordinated optimal scheduling model for hybrid AC/DC microgrids. The objective of the proposed model is to minimize the total microgrid operation cost when considering interactions between AC and DC sub-systems of the…

Systems and Control · Computer Science 2017-11-10 Abdulaziz Alanazi , Hossein Lotfi , Amin Khodaei

The common linear optimal power flow (LOPF) formulation that underlies most transmission expansion planning (TEP) formulations uses bus voltage angles as auxiliary optimization variables to describe Kirchhoff's voltage law. As well as…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Fabian Neumann , Tom Brown

The multitudes of inverter-based distributed energy resources (DERs) can be envisioned as distributed reactive power (var) devices (\textit{mini-SVCs}) that can offer var flexibility at TSO-DSO interface. To facilitate this vision, a…

Optimization and Control · Mathematics 2022-09-07 Ankit Singhal , Venkataramana Ajjarapu

The method for controlling a DC-DC converter is proposed to ensures the high quality control at large fluctuations in load currents by using differential gain control coefficients and second derivative control. Various implementations of…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Alexander Domyshev , Elena Chistyakova , Aliona Dreglea , Denis Sidorov , Fang Liu

The increasing integration of renewable energy sources has introduced complex dynamic behavior in power systems that challenge the adequacy of traditional continuous-time modeling approaches. These developments call for modeling frameworks…

Systems and Control · Electrical Eng. & Systems 2026-01-19 B. G. Odunlami , M. Netto , Y. Susuki

The large-scale integration of distributed renewable energy sources into the electricity grid requires the investigation of new methods to ensure stability. For example, Active Distribution Networks (ADNs) can be used at (sub-) transmission…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Christian Holger Nerowski , Zongjun Li , Christian Rehtanz

This paper addresses the challenges of embedding common droop control characteristics in ac-dc power system steady-state simulation and optimization problems. We propose a smooth approximation methodology to construct differentiable…

Optimization and Control · Mathematics 2024-09-30 Ghulam Mohy-ud-din , Rahmat Heidari , Frederik Geth , Hakan Ergun , S M Muslem Uddin

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

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

Optimization and Control · Mathematics 2016-05-19 Qiuyu Peng , Steven H. Low

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

The traditional machine learning models to solve optimal power flow (OPF) are mostly trained for a given power network and lack generalizability to today's power networks with varying topologies and growing plug-and-play distributed energy…

Machine Learning · Computer Science 2023-09-25 Heng Liang , Changhong Zhao

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables…

Optimization and Control · Mathematics 2014-01-07 Quentin Gemine , Damien Ernst , Quentin Louveaux , Bertrand Cornélusse

We present a pure linear cutting-plane relaxation approach for rapidly proving tight and accurate lower bounds for the Alternating Current Optimal Power Flow Problem (ACOPF) and its multi-period extension with ramping constraints. Our…

Optimization and Control · Mathematics 2024-09-19 Daniel Bienstock , Matias Villagra

In this paper, we propose a combined Online Feedback Optimization (OFO) and dynamic estimation approach for a real-time power grid operation under time-varying conditions. A dynamic estimation uses grid measurements to generate the…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Miguel Picallo , Dominic Liao-McPherson , Saverio Bolognani , Florian Dörfler

Continuous-time optimization models have successfully been used to capture the impact of ramping limitations in power systems. In this paper, the continuous-time framework is adapted to model flexible hydropower resources interacting with…

Optimization and Control · Mathematics 2020-08-14 Christian Øyn Naversen , Arild Helseth , Bosong Li , Masood Parvania , Hossein Farahmand , João P. S. Catalão

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

Optimization and Control · Mathematics 2017-11-06 Daniel Bienstock , Apurv Shukla

To shift the computational burden from real-time to offline in delay-critical power systems applications, recent works entertain the idea of using a deep neural network (DNN) to predict the solutions of the AC optimal power flow (AC-OPF)…

Optimization and Control · Mathematics 2021-11-12 Manish K. Singh , Vassilis Kekatos , Georgios B. Giannakis

We present a linear cutting-plane relaxation approach that rapidly proves tight lower bounds for the Alternating Current Optimal Power Flow Problem (ACOPF). Our method leverages outer-envelope linear cuts for well-known second-order cone…

Optimization and Control · Mathematics 2024-03-15 Daniel Bienstock , Matias Villagra

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
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