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Wind power is playing an increasingly important role in electricity markets. However, it's inherent variability and uncertainty cause operational challenges and costs as more operating reserves are needed to maintain system reliability.…

Optimization and Control · Mathematics 2016-03-01 Yishen Wang , Zhi Zhou , Cong Liu , Audun Botterud

The integration of storage and renewable resources fundamentally alters resource-adequacy analysis. Because storage couples decisions across time, it invalidates the traditional reliability models that are based on time-independent capacity…

Optimization and Control · Mathematics 2026-03-05 Baptiste Rabecq , Andy Sun , Feng Zhao , Tongxin Zheng , Xiaochu Wang , Yufan Zhang

This paper suggests leveraging reactive power potential (RPP) embedded in wind farms to improve power system operational safety and optimality. First, three typical RPP provision approaches are analyzed and a two-stage robust linear…

Systems and Control · Electrical Eng. & Systems 2020-10-12 Yu Zhou , Zhengshuo Li

The high variability of renewable energy resources presents significant challenges to the operation of the electric power grid. Conventional generators can be used to mitigate this variability but are costly to operate and produce carbon…

Optimization and Control · Mathematics 2012-04-13 Han-I Su , Abbas El Gamal

Climate change has led to an increase in the frequency and severity of extreme weather events, posing significant challenges for power distribution systems. In response, this work presents a planning approach in order to enhance the…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Ahmad Bin Afzal , Nabil Mohammed , Shehab Ahmed , Charalambos Konstantinou

Contemporary electricity distribution systems are being challenged by the variability of renewable energy sources. Slow response times and long energy management periods cannot efficiently integrate intermittent renewable generation and…

Systems and Control · Computer Science 2016-02-02 Gang Wang , Vassilis Kekatos , Antonio J. Conejo , Georgios B. Giannakis

We present a capacity expansion model for deciding the new electricity generation and transmission capacity to complement an existing hydroelectric reservoir system. The objective is to meet a forecast demand at least expected cost, namely…

Optimization and Control · Mathematics 2023-12-15 Jarand Hole , Andy Philpott , Oscar Dowson

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

Computational Engineering, Finance, and Science · Computer Science 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

The multi-energy management framework of industrial parks advocates energy conversion and scheduling, which takes full advantage of the compensation and temporal availability of multiple energy. However, how to exploit elastic loads and…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Dafeng Zhu , Bo Yang , Zhaojian Wang , Chengbin Ma , Kai Ma , Shanying Zhu

This paper adopts a two-stage sample robust optimization (SRO) model to address the wind power penetrated unit commitment optimal energy flow (UC-OEF) problem for IEGSs. The two-stage SRO model can be approximately transformed into a…

Optimization and Control · Mathematics 2024-01-02 Rong-Peng Liu , Yunhe Hou , Yujia Li , Shunbo Lei , Wei Wei , Xiaozhe Wang

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

Optimization and Control · Mathematics 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

Active distribution networks facilitating bidirectional power exchange with renewable energy resources are susceptible to cyberattacks due to integration of a diverse array of cyber components. This study introduces a grid-level defense…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Hampei Sasahara , Tatsuya Yamada , Jun-ichi Imura , Henrik Sandberg

One of the most important challenges in the integration of renewable energy sources into the power grid lies in their `intermittent' nature. The power output of sources like wind and solar varies with time and location due to factors that…

Systems and Control · Computer Science 2011-10-21 Yashodhan Kanoria , Andrea Montanari , David Tse , Baosen Zhang

Robust optimization typically follows a worst-case perspective, where a single scenario may determine the objective value of a given solution. Accordingly, it is a challenging task to reduce the size of an uncertainty set without changing…

Optimization and Control · Mathematics 2022-09-02 Marc Goerigk , Mohammad Khosravi

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

In this work we study binary two-stage robust optimization problems with objective uncertainty. We present an algorithm to calculate efficiently lower bounds for the binary two-stage robust problem by solving alternately the underlying…

Optimization and Control · Mathematics 2020-01-17 Nicolas Kämmerling , Jannis Kurtz

In this work, we consider two-stage quadratic optimization problems under ellipsoidal uncertainty. In the first stage, one needs to decide upon the values of a subset of optimization variables (control variables). In the second stage, the…

Optimization and Control · Mathematics 2023-01-05 Olga Kuryatnikova , Bissan Ghaddar , Daniel K. Molzahn

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

Optimization and Control · Mathematics 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

Maintenance planning plays a key role in power system operations under uncertainty by helping system operators ensure a reliable and secure power grid. This paper studies a short-term condition-based integrated maintenance planning with…

Optimization and Control · Mathematics 2022-01-13 Bahar Cennet Okumusoglu , Beste Basciftci , Burak Kocuk
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