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Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

Optimization and Control · Mathematics 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

The increase in renewable energy sources (RESs), like wind or solar power, results in growing uncertainty also in transmission grids. This affects grid stability through fluctuating energy supply and an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

This paper proposes a new robust optimization (RO) formulation namely the RO under objective functional uncertainty (ObRO). The ObRO adopts a min-max structure where the inner problem finds the worst-case objective function in a continuous…

Optimization and Control · Mathematics 2026-05-19 Yue Song , Yuxi Lu , Gang Li , Kairui Feng , Qi Liu

Active distribution system with high penetration of inverter based distributed energy resources (DER) can be utilized for VAR-related ancillary services. To utilize the DER flexibility, transmission system operator (TSO) must be presented…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Aditya Shankar Kar , Kiran Kumar Challa , Alok Kumar Bharati , Ankit Singhal , Venkataramana Ajjarapu

Distributionally robust optimisation (DRO) minimises the worst-case expected loss over an ambiguity set that can capture distributional shifts in out-of-sample environments. While Huber (linear-vacuous) contamination is a classical…

Machine Learning · Statistics 2026-01-30 Mengqi Chen , Thomas B. Berrett , Theodoros Damoulas , Michele Caprio

We consider a minimax problem motivated by distributionally robust optimization (DRO) when the worst-case distribution is continuous, leading to significant computational challenges due to the infinite-dimensional nature of the optimization…

Machine Learning · Statistics 2024-12-31 Linglingzhi Zhu , Yao Xie

A community integrated energy system (CIES) is an important carrier of the energy internet and smart city in geographical and functional terms. Its emergence provides a new solution to the problems of energy utilization and environmental…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Yang Li , Meng Han , Mohammad Shahidehpour , Jiazheng Li , Chao Long

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

Optimization and Control · Mathematics 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

Machine Learning · Computer Science 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

The low-altitude networks (LANs) integrating unmanned aerial vehicles (UAVs) and high-altitude platforms (HAPs) have become a promising solution for the rising computation demands. However, the uncertain task sizes and high mobility of UAVs…

Computational Engineering, Finance, and Science · Computer Science 2025-10-28 Guanwang Jiang , Ziye Jia , Can Cui , Lijun He , Qiuming Zhu , Qihui Wu

Reconfigurable data center networks (DCNs) enhance traditional architectures with optical circuit switches (OCSs), enabling dynamic reconfiguration of inter-pod links, i.e., the logical topology. Optimizing this topology is crucial for…

Networking and Internet Architecture · Computer Science 2025-12-22 Yingming Mao , Qiaozhu Zhai , Ximeng Liu , Xinchi Han , Fafan li , Shizhen Zhao , Yuzhou Zhou , Zhen Yao , Xia Zhu

In recent years, there has been a growing research interest in decision-focused learning, which embeds optimization problems as a layer in learning pipelines and demonstrates a superior performance than the prediction-focused approach.…

Optimization and Control · Mathematics 2024-06-25 Xutao Ma , Chao Ning , Wenli Du

This study proposes a real-time distributed energy resource (DER) coordination model that can exploit flexibility from the DERs to solve voltage and overloading issues using both active and reactive power. The model considers time-coupling…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Sen Zhan , Johan Morren , Wouter van den Akker , Anne van der Molen , Han Slootweg

Real-Time Optimization (RTO) plays a crucial role in the process operation hierarchy by determining optimal set-points for the lower-level controllers. However, at the control layer, these set-points may be difficult to track due to…

Systems and Control · Electrical Eng. & Systems 2024-03-06 Akhil Ahmed , Ehecatl Antonio del Rio-Chanona , Mehmet Mercangoz

The goal of this paper is to develop distributionally robust optimization (DRO) estimators, specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using semi-parametric models called max-stable distributions…

Machine Learning · Statistics 2024-08-02 Patrick Kuiper , Ali Hasan , Wenhao Yang , Yuting Ng , Hoda Bidkhori , Jose Blanchet , Vahid Tarokh

This paper presents a coordinated framework to optimize electric vehicle (EV) charging considering grid constraints and system uncertainties. The proposed framework consists of two optimization models. In particular, the distribution system…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Arash Baharvandi , Duong Tung Nguyen

This paper investigates a Multistage Distributionally Robust Optimization (MDRO) approach to water allocation under climate uncertainty. The MDRO is formed by creating sets of conditional distributions (called conditional ambiguity sets) on…

Optimization and Control · Mathematics 2020-05-20 Jangho Park , Guzin Bayraksan

Distributionally Robust Optimization (DRO) is a worst-case approach to decision making when there is model uncertainty. It is also well known that for certain uncertainty sets, DRO is approximated by a regularized nominal problem. We show…

Optimization and Control · Mathematics 2026-05-08 Jun-ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng