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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

We present an online stochastic model predictive control framework for demand charge management for a grid-connected consumer with attached electrical energy storage. The consumer we consider must satisfy an inflexible but stochastic…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Benjamin Flamm , Guillermo Ramos , Annika Eichler , John Lygeros

In recent years, there has been a significant focus on advancing the next generation of power systems. Despite these efforts, persistent challenges revolve around addressing the operational impact of uncertainty on predicted data,…

Optimization and Control · Mathematics 2024-03-15 Hien Thanh Doan , Minsoo Kim , Keunju Song , Hongseok Kim

Real-time hierarchical energy-sharing markets are promising to coordinate large numbers of prosumers. Still, most existing clearing methods rely on linearized or DC power-flow models and do not explicitly handle reactive power or…

Optimization and Control · Mathematics 2026-05-25 Tonghua Liu , Yifan Su , Zhaojian Wang , Feng Liu

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

A promising approach to hedge against the inherent uncertainty of renewable generation is to equip the renewable plants with energy storage systems. This paper focuses on designing profit maximization offering strategies, i.e., the…

Computer Science and Game Theory · Computer Science 2016-12-02 Lin Yang , Mohammad H. Hajiesmaili , Hanling Yi , Minghua Chen

As the penetration of variable renewable powergeneration increases in power systems around the world, systemsecurity is challenged. Ensuring that enough reserve capacity isavailable to balance the increased forecast errors introduced bywind…

Optimization and Control · Mathematics 2019-03-13 Christian Øyn Naversen , Hossein Farahmand , Arild Helseth

Probabilistic forecasting in combination with stochastic programming is a key tool for handling the growing uncertainties in future energy systems. Derived from a general stochastic programming formulation for the optimal scheduling and…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Mario Beykirch , Tim Janke , Florian Steinke

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

The increasing challenges to the grid stability posed by the penetration of renewable energy resources urge a more active role for demand response programs as viable alternatives to a further expansion of peak power generators. This work…

Optimization and Control · Mathematics 2023-06-28 Danial Ramin , Stefano Spinelli , Alessandro Brusaferri

Tanker water systems play critical role in providing adequate service to meet potable water demands in the face of acute water crisis in many cities globally. Managing tanker movements among the supply and demand sides requires an efficient…

Optimization and Control · Mathematics 2024-08-02 Abhilasha Maheshwari , Shamik Misra , Ravindra Gudi , Senthilmurugan Subbiah , Chrysi Laspidou

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

Recent trends express the impact of prosumers and small energy resources and storages in distribution systems, due to the increasing uptake of renewable resources. This research studies the effect of coordination of distributed resources…

Optimization and Control · Mathematics 2021-05-24 Amir Noori , Babak Tavassoli , Alireza Fereidunian

We present new formulations of the stochastic electricity market clearing problem based on the principles of stochastic programming. Previous analyses have established that the canonical stochastic programming model effectively captures the…

Systems and Control · Electrical Eng. & Systems 2023-05-11 Sakitha Ariyarathne , Harsha Gangammanavar

Maintaining energy balance and economical operation is significant for multi-energy systems such as the energy hub. However, it is usually challenged by the frequently changing and unpredictable uncertainties at different timescales. Under…

Computational Engineering, Finance, and Science · Computer Science 2022-03-03 Jiaxin Cao , Bo Yang , Shanying Zhu , Chi Yung Chung , Xinping Guan

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

Optimization and Control · Mathematics 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

Energy storage is expected to play an increasingly important role in mitigating variations that come along with the growing penetration of renewable energy. In this paper, we study the optimal bidding of an energy storage unit in a…

Optimization and Control · Mathematics 2021-09-29 Yue Chen , Wei Wei , Tongxin Li , Yunhe Hou , Feng Liu , João P. S. Catalão

In this article, a multiple split method is proposed that enables construction of multidimensional probabilistic forecasts of a selected set of variables. The method uses repeated resampling to estimate uncertainty of simultaneous…

Risk Management · Quantitative Finance 2024-07-11 Katarzyna Maciejowska , Weronika Nitka