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In this paper, we propose a framework for coordinating distributed energy resources (DERs) connected to a power distribution system, the model of which is not completely known, so that they collectively provide a specified amount of active…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

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

In scenarios where high penetration of renewable energy sources (RES) is connected to the grid over long distances, the output of RES exhibits significant fluctuations, making it difficult to accurately characterize. The intermittency and…

Optimization and Control · Mathematics 2025-02-27 Yuhong Wang , Xinyao Wang , Chen Shen , Jianquan Liao , Qianni Cao , Yufei Teng , Huabo Shi , Gang Chen

Ordinary differential equations (ODEs) provide a powerful framework for modeling dynamic systems arising in a wide range of scientific domains. However, most existing ODE methods focus on a single system, and do not adequately address the…

Methodology · Statistics 2026-04-08 Shuoxun Xu , Zijian Guo , Brooke R. Staveland , Robert T. Knight , Lexin Li

The increasing share of renewables in the electricity generation mix comes along with an increasing uncertainty in power supply. In the recent years, distributionally robust optimization has gained significant interest due to its ability to…

Optimization and Control · Mathematics 2022-11-11 Adriano Arrigo , Jalal Kazempour , Zacharie De Grève , Jean-François Toubeau , François Vallée

The gradual decommissioning of fossil fuel-driven power plants, that traditionally provide most operational flexibility in power systems, has led to more frequent grid stability issues. To compensate for the lack of flexible resources,…

Systems and Control · Electrical Eng. & Systems 2022-05-20 Alice Patig , Ognjen Stanojev , Petros Aristidou , Aristides Kiprakis , Gabriela Hug

Dynamic power system models are instrumental in real-time stability, monitoring, and control. Such models are traditionally posed as systems of nonlinear differential algebraic equations (DAEs): the dynamical part models generator…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Mohamad H. Kazma , Ahmad F. Taha

The proliferation of distributed energy resources (DERs) im-poses new challenges to distribution system operation, e.g., power quality issues. To overcome these challenges and enhance system operation, it is critical to effectively utilize…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Mingyue He , Zahra Soltani , Mohammad Ghaljehei , Masoud Esmaili , Shanshan Ma , Mengxi Chen , Mojdeh Khorsand , Raja Ayyanar , Vijay Vittal

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

Optimization and Control · Mathematics 2024-09-26 Haixiao Li , Aleksandra Lekić

Widespread utilization of electric vehicles (EVs) incurs more uncertainties and impacts on the scheduling of the power-transportation coupled network. This paper investigates optimal power scheduling for a power-transportation coupled…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Haoran Deng , Bo Yang , Chao Ning , Cailian Chen , Xinping Guan

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

The enormous technological potential accumulated over the past two decades would make it possible to change the operating principles of power systems entirely. The consequent technological evolution is not only affecting the structure of…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Liliia Ageeva , Maryam Majidi , David Pozo

A novel decentralized peer-to-peer-to-grid (P2P2G) trading mechanism considering distribution network integrity is proposed. In order to direct prosumers' peer-to-peer (P2P) trading behavior to be grid-friendly, the proposed method…

Systems and Control · Electrical Eng. & Systems 2023-11-27 Zhisen Jiang , Ye Guo , Hongbin Sun , Jianxiao Wang

A framework for risk-averse optimization problems is introduced that is resilient to ambiguities in the true form of the underlying probability distribution. The focus is on problems with partial differential equations (PDEs) as…

Optimization and Control · Mathematics 2026-04-14 Harbir Antil , Alonso J. Bustos , Sean P. Carney , Benjamín Venegas

Traditional power flow methods often adopt certain assumptions designed for passive balanced distribution systems, thus lacking practicality for unbalanced operation. Moreover, their computation accuracy and efficiency are heavily subject…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Sungjoo Chung , Ying Zhang , Zhaoyu Wang , Fei Ding

Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging…

Optimization and Control · Mathematics 2015-11-24 Miles Lubin , Yury Dvorkin , Scott Backhaus

As a typical approach of demand response (DR), direct load control (DLC) enables load service entity (LSE) to adjust electricity usage of home-end customers for peak shaving during DLC event. Households are connected in low voltage…

Optimization and Control · Mathematics 2017-05-11 Weiye Zheng , Wenchuan Wu , Boming Zhang , Wanxing Sheng

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

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

Adaptation and Self-Organizing Systems · Physics 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown