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We develop multi-stage linear decision rules (LDRs) for dynamic power system generation and energy storage investment planning under uncertainty and propose their chance-constrained optimization with performance guarantees. First, the…

Optimization and Control · Mathematics 2023-03-14 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud

In the day-to-day operation of a power system, the system operator repeatedly solves short-term generation planning problems. When formulating these problems the operators have to weigh the risk of costly failures against increased…

Optimization and Control · Mathematics 2015-12-31 Magnus Perninge

This paper presents a scenario based robust optimization framework for short term energy scheduling in electricity intensive industrial plants, explicitly addressing uncertainty in planning decisions. The model is formulated as a two-stage…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Sebastián Rojas-Innocenti , Enrique Baeyens , Alejandro Martín-Crespo , Sergio Saludes-Rodil , Fernando Frechoso Escudero

In this paper, we study the operational problem of connected hydro power reservoirs which involves sequential decision-making in an uncertain and dynamic environment. The problem is traditionally formulated as a stochastic dynamic program…

Optimization and Control · Mathematics 2022-05-17 Farzaneh Pourahmadi , Trine Krogh Boomsma

This paper presents an analysis of the stability and quality of the distributed generation planning problem's investment solution. The entry of distributed generators power based on non-conventional energy sources has been extensively…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo

The mathematical theory for optimal switching is by now relatively well developed, but the number of concrete applications of this theoretical framework remains few. In this paper, we bridge parts of this gap by applying optimal switching…

Optimization and Control · Mathematics 2020-09-23 Niklas L. P. Lundström , Marcus Olofsson , Thomas Önskog

The optimal control of sustainable energy supply systems, including renewable energies and energy storage, takes a central role in the decarbonization of industrial systems. However, the use of fluctuating renewable energies leads to…

Optimization and Control · Mathematics 2025-12-18 Eric Pilling , Martin Bähr , Ralf Wunderlich

The co-optimization of behind-the-meter distributed energy resources is considered for prosumers under the net energy metering tariff. The distributed energy resources considered include renewable generations, flexible demands, and battery…

Systems and Control · Electrical Eng. & Systems 2024-07-11 Ahmed S. Alahmed , Lang Tong , Qing Zhao

This letter introduces a method to manage energy storage in electricity grids. Starting from the stochastic characterization of electricity generation and demand, we propose an equation that relates the storage level for every time-step as…

Systems and Control · Computer Science 2016-12-05 Pedro H. J. Nardelli , Hirley Alves

Short-term hydro-generation management poses a non-convex or even non-continuous optimization problem. For this reason, the problem of systematically obtaining feasible and economically satisfying solutions has not yet been completely…

Optimization and Control · Mathematics 2022-04-12 Jean-Philippe Chancelier , A Renaud

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

Large scale electricity storage is set to play an increasingly important role in the management of future energy networks. A major aspect of the economics of such projects is captured in arbitrage, i.e. buying electricity when it is cheap…

Optimization and Control · Mathematics 2015-05-25 James Cruise , Lisa Flatley , Richard Gibbens , Stan Zachary

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

Continuous-time optimization models have successfully been used to capture the impact of ramping limitations in power systems. In this paper, the continuous-time framework is adapted to model flexible hydropower resources interacting with…

Optimization and Control · Mathematics 2020-08-14 Christian Øyn Naversen , Arild Helseth , Bosong Li , Masood Parvania , Hossein Farahmand , João P. S. Catalão

Wind integration in power grids is very difficult, essentially because of the uncertain nature of wind speed. Forecasting errors on output from wind turbines may have costly consequences. For instance, power might be bought at highest price…

Optimization and Control · Mathematics 2016-04-28 Luckny Zéphyr , C. Lindsay Anderson

This paper applies computational techniques of convex stochastic optimization to optimal operation and valuation of electricity storages in the face of uncertain electricity prices. Our valuations are based on the indifference pricing…

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

Optimization and Control · Mathematics 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

We propose stochastic optimization methodologies for a staffing and capacity planning problem arising from home care practice. Specifically, we consider the perspective of a home care agency that must decide the number of caregivers to hire…

Optimization and Control · Mathematics 2022-03-29 Ridong Wang , Karmel S. Shehadeh , Xiaolei Xie , Lefei Li

In energy systems with high shares of weather-driven renewable power sources, gas-fired power plants can serve as a back-up technology to ensure security of supply and provide short-term flexibility. Therefore, a tighter coordination…

Optimization and Control · Mathematics 2018-05-17 Christos Ordoudis , Pierre Pinson , Juan M. Morales

This work considers energy management in a grid-connected microgrid which consists of multiple conventional generators (CGs), renewable generators (RGs) and energy storage systems (ESSs). A two-stage optimization approach is presented to…

Optimization and Control · Mathematics 2016-03-21 Wuhua Hu , Ping Wang , Hoay Beng Gooi