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Integrating renewable energy into the power grid requires intelligent risk-aware dispatch accounting for the stochastic availability of renewables. Toward achieving this goal, a robust DC optimal flow problem is developed in the present…

Optimization and Control · Mathematics 2013-10-29 Yu Zhang , Georgios B. Giannakis

With the rising adoption of distributed energy resources (DERs), microgrid dispatch is facing new challenges: DER owners are independent stakeholders seeking to maximize their individual profits rather than being controlled centrally; and…

Optimization and Control · Mathematics 2025-01-27 Meng Yang , Rui Xie , Yongjun Zhang , Yue Chen

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

This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

With the integration of large-scale renewable energy sources to power systems, many optimization methods have been applied to solve the stochastic/uncertain transmission-constrained unit commitment (TCUC) problem. Among all methods,…

Optimization and Control · Mathematics 2018-10-18 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

In order to protect the environment and address fossil fuel scarcity, renewable energy is increasingly used for power generation. However, due to the uncertainties it brings to electricity production, deterministic optimization is no longer…

Optimization and Control · Mathematics 2022-12-13 Shuhan Lyu

Effective and timely responses to unexpected contingencies are crucial for enhancing the resilience of power grids. Given the fast, complex process of cascading propagation, corrective actions such as optimal load shedding (OLS) are…

Machine Learning · Computer Science 2022-01-28 Yuqi Zhou , Jeehyun Park , Hao Zhu

We propose a data-driven method to solve a stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The objective is to determine power schedules for controllable devices in a power…

Optimization and Control · Mathematics 2018-01-22 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler Summers

The increasing demand for electricity and the aging infrastructure of power distribution systems have raised significant concerns about future system reliability. Failures in distribution systems, closely linked to system usage and…

Optimization and Control · Mathematics 2024-10-21 Gejia Zhang , Robert Mieth

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

Optimization and Control · Mathematics 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

We study the optimal power flow problem with switching (or, equivalently, the line expansion problem) under demand uncertainty. Specifically, we consider the line-use variables at the first stage and the current- or power-flow at the second…

Optimization and Control · Mathematics 2016-01-26 Jakub Marecek , Adam Ouorou , Guanglei Wang

Burst contention is a well-known challenging problem in Optical Burst Switching (OBS) networks. Deflection routing is used to resolve contention. Burst retransmission is used to reduce the Burst Loss Ratio (BLR) by retransmitting dropped…

Networking and Internet Architecture · Computer Science 2009-01-13 Martin Levesque , Halima Elbiaze , Wael Hosny Fouad Aly

Dynamic real-time optimization (DRTO) is a challenging task due to the fact that optimal operating conditions must be computed in real time. The main bottleneck in the industrial application of DRTO is the presence of uncertainty. Many…

High penetration from volatile renewable energy resources in the grid and the varying nature of loads raise the need for frequent line switching to ensure the efficient operation of electrical distribution networks. Operators must ensure…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Richard Asiamah , Yuqi Zhou , Ahmed S. Zamzam

This paper studies the robust optimal operation of distribution networks (DNs) under renewable generation and load demand uncertainties, seeking an improved trade-off between robustness and economic performance. Building upon information…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zhisheng Xiong , Dimitris Boskos , Bo Zeng , Peter Palensky , Pedro P. Vergara

Deciding setpoints for distributed energy resources (DERs) via local control rules rather than centralized optimization offers significant autonomy. The IEEE Standard 1547 recommends deciding DER setpoints using Volt/VAR rules. Although…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Jinlei Wei , Sarthak Gupta , Dionysios C. Aliprantis , Vassilis Kekatos

Robust Markov Decision Processes (MDPs) address environmental shift through distributionally robust optimization (DRO) by finding an optimal worst-case policy within an uncertainty set of transition kernels. However, standard DRO approaches…

Machine Learning · Statistics 2026-03-10 Akram S. Awad , Shihab Ahmed , Yue Wang , George K. Atia

High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

Systems and Control · Computer Science 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

This paper presents a method to handle renewable source and load uncertainties in Dynamic Day-ahead Optimal Power Flow (DA-OPF) using post-optimal analysis of linear programming problem. The method does not require the uncertainty…

Optimization and Control · Mathematics 2018-04-18 Parikshit Pareek , Ashu Verma

Due to recent blackout and system split incidents in power grids worldwide, as well as increased system complexity in view of the energy transition, there has been increasing interest in re-evaluating existing Power System Restoration (PSR)…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Dawn Virginillo , Asja Derviškadić , Mario Paolone
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