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The roll-out of stochastic renewable energy sources (RES) undermines the efficiency of power system and market operations. This paper proposes an approach to derive electricity prices that internalize RES stochasticity. We leverage a…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Robert Mieth , Jip Kim , Yury Dvorkin

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

The intermittent nature of the renewable energies increases the operation costs of conventional generators. As the share of energy supplied by renewable sources increases, these costs also increase. In this paper, we quantify these costs by…

Systems and Control · Computer Science 2018-02-26 Ashkan Zeinalzadeh , Donya Ghavidel , Vijay Gupta

Efficiently accommodating uncertain renewable resources in wholesale electricity markets is among the foremost priorities of market regulators in the US, UK and EU nations. However, existing deterministic market designs fail to internalize…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Yury Dvorkin

At present, electricity markets largely ignore the fact that renewable power producers impose significant externalities on non-renewable energy producers. This is because consumers are generally guaranteed electricity within certain load…

Optimization and Control · Mathematics 2016-11-28 Ashkan Zeinalzadeh , Indraneel Chakraborty , Vijay Gupta

Accommodating the uncertain and variable renewable energy sources (VRES) in electricity markets requires sophisticated and scalable tools to achieve market efficiency. To account for the uncertain imbalance costs in the real-time market…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Dongwei Zhao , Vladimir Dvorkin , Stefanos Delikaraoglou , Alberto J. Lamadrid L. , Audun Botterud

Recently, chance-constrained stochastic electricity market designs have been proposed to address the shortcomings of scenario-based stochastic market designs. In particular, the use of chance-constrained market-clearing avoids trading off…

Optimization and Control · Mathematics 2021-06-14 Alvaro Gonzalez-Castellanos , Anton Hinneck , Robert Mieth , David Pozo , Yury Dvorkin

Renewable power sources have low marginal pro-duction costs, but may result in high balancing costs due to the inherent production uncertainty. Current day-ahead markets elicit only point production profiles and neglect the degree of…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Shobhit Singhal , Lesia Mitridati , Licio Romao

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

Aggregators of consumer energy resources (CERs) like rooftop solar and battery energy storage (BES) face challenges due to their inherent uncertainties. A sensible approach is to use stochastic optimization to handle such uncertainties,…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Chatum Sankalpa , Ghulam Mohy-ud-din , Erik Weyer , Maria Vrakopoulou

Optimization is widely used to determine the physical and financial exchange of wholesale electricity in organized markets. Guarantees of solution optimality and feasibility rest largely on convexity, which is not in general a…

Optimization and Control · Mathematics 2026-05-22 Sidhant Misra , Marc Vuffray , Anatoly Zlotnik , Aleksandr M. Rudkevich

To ensure a successful bid while maximizing of profits, generation companies (GENCOs) need a self-scheduling strategy that can cope with a variety of scenarios. So distributionally robust opti-mization (DRO) is a good choice because that it…

Optimization and Control · Mathematics 2021-05-05 Linfeng Yang , Ying Yang , Guo Chen , Zhaoyang Dong

This work proposes an uncertainty-informed bid adjustment framework for integrating variable renewable energy sources (VRES) into electricity markets. This framework adopts a bilevel model to compute the optimal VRES day-ahead bids. It aims…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Dongwei Zhao , Vladimir Dvorkin , Stefanos Delikaraoglou , Alberto J. Lamadrid L. , Audun Botterud

This paper proposes a risk-averse approach to energy storage price arbitrage, leveraging conformal uncertainty quantification for electricity price predictions. The method addresses the significant challenges posed by the inherent…

Optimization and Control · Mathematics 2024-12-11 Saud Alghumayjan , Ming Yi , Bolun Xu

The interplay between risk aversion and financial derivatives has received increasing attention since the advent of electricity market liberalization. One important challenge in this context is how to develop economically efficient and…

General Economics · Economics 2022-06-06 Arega Getaneh Abate , Rossana Riccardi , Carlos Ruiz

According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong assumptions such as perfectly divisible goods and convex…

Computer Science and Game Theory · Computer Science 2023-05-24 Mete Şeref Ahunbay , Martin Bichler , Johannes Knörr

We consider some crucial problems related to the secure and reliable operation of power systems with high renewable penetrations: how much reserve should we procure, how should reserve resources distribute among different locations, and how…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

Large penetration of renewable energy sources (RESs) brings huge uncertainty into the electricity markets. The current deterministic clearing approach in the day-ahead (DA) market, where RESs participate based on expected production, has…

Systems and Control · Electrical Eng. & Systems 2025-08-07 Yufan Zhang , Honglin Wen , Yuexin Bian , Yuanyuan Shi

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

Due to the limited predictability of wind power and other stochastic generation, trading this energy in competitive electricity markets is challenging. This paper derives revenue-maximising and risk-constrained strategies for stochastic…

General Finance · Quantitative Finance 2018-05-31 Jethro Browell
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