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Since distribution system operator (DSO) cannot directly control prosumers with controllable resources,this paper proposes an optimal dispatch method of using three-phase distribution locational marginal prices (DLMPs) as effective economic…

Systems and Control · Electrical Eng. & Systems 2019-10-15 Jiaqi Chen , Ye Guo , Wenchuan Wu

The integration of renewable sources poses challenges at the operational and economic levels of the power grid. In terms of keeping the balance between supply and demand, the usual scheme of supply following load may not be appropriate for…

Systems and Control · Computer Science 2014-04-07 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

In this paper, we extend the market price of risk for delivery periods (MPDP) of electricity swap contracts by introducing a dimension for jump risk. As introduced by Kemper et al. (2022), the MPDP arises through the use of geometric…

Pricing of Securities · Quantitative Finance 2023-12-22 Annika Kemper , Maren Diane Schmeck

In the propositional setting, the marginal problem is to find a (maximum-entropy) distribution that has some given marginals. We study this problem in a relational setting and make the following contributions. First, we compare two…

Artificial Intelligence · Computer Science 2018-04-26 Ondrej Kuzelka , Yuyi Wang , Jesse Davis , Steven Schockaert

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

As the penetration of distributed energy resources (DERs) increases, harnessing their flexibility becomes critical for power system operations. Virtual power plants (VPPs) offer a promising solution. However, most existing scheduling tools…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Lorenzo Zapparoli , Paul Fäth , Blazhe Gjorgiev , Giovanni Sansavini

We discuss stochastic modeling of volatility persistence and anti-correlations in electricity spot prices, and for this purpose we present two mean-reverting versions of the multifractal random walk (MRW). In the first model the…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Ola Løvsletten

Increasing reliability and reducing disruptions in supply networks are of increasing importance; for example, power outages in electricity distribution networks cost \$35-50 billion annually in the US. Motivated by the operational…

Optimization and Control · Mathematics 2022-10-04 Cyrus Hettle , Swati Gupta , Daniel Molzahn

High shares of variable renewable energy necessitate substantial energy storage capacity. However, it remains unclear how to design a market that, on the one hand, ensures a stable and sufficient income for storage firms, and, on the other…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Aviad Navon , Juri Belikov , Ariel Orda , Yoash Levron

This paper presents how to apply the stochastic collocation technique to assets that can not move below a boundary. It shows that the polynomial collocation towards a lognormal distribution does not work well. Then, the potentials issues of…

Pricing of Securities · Quantitative Finance 2021-09-07 Fabien Le Floc'h , Cornelis W. Oosterlee

Renewable energy productions and electrification of mobility are promising solutions to reduce greenhouse gas emissions. Their effective integration in a power grid encounters several challenges. The uncertain nature of renewable energy…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Manijeh Alipour , Omid Alizadeh-Mousavi

We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on…

Machine Learning · Statistics 2015-12-02 Mijung Park , Wittawat Jitkrittum , Ahmad Qamar , Zoltan Szabo , Lars Buesing , Maneesh Sahani

Power electronic interfaced devices progressively enable the increasing provision of flexible operational actions in distribution networks. The feasible flexibility these devices can effectively provide requires estimation and…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Demetris Chrysostomou , Jose Luis Rueda Torres , Jochen Lorenz Cremer

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli

Global supply networks in agriculture, manufacturing, and services are a defining feature of the modern world. The efficiency and the distribution of surpluses across different parts of these networks depend on choices of intermediaries.…

General Finance · Quantitative Finance 2019-06-05 Felipe M. Cardoso , Carlos Gracia-Lazaro , Frederic Moisan , Sanjeev Goyal , Angel Sanchez , Yamir Moreno

This research provides an in-depth evaluation of various machine learning models for energy forecasting, focusing on the unique challenges of seasonal variations in student residential settings. The study assesses the performance of…

Machine Learning · Computer Science 2025-07-01 Muhammad Umair Danish , Mathumitha Sureshkumar , Tehara Fonseka , Umeshika Uthayakumar , Vinura Galwaduge

In the transition toward a sustainable power system, renewable-based Virtual Power Plants (RVPPs) have emerged as a promising solution to the challenges of integrating renewable energy sources into electricity markets. Their viability,…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Hadi Nemati , Álvaro Ortega , Pedro Sánchez-Martín , Lukas Sigrist , Luis Rouco , Ignacio Egido

In this study, we develop a theoretical model of strategic equilibrium bidding and price-setting behaviour by heterogeneous and boundedly rational electricity producers and a grid operator in a single electricity market under uncertain…

Physics and Society · Physics 2017-04-27 Jobst Heitzig , Hildegard Meyer-Ortmanns , Sabine Auer

We provide an explicit characterization of the optimal market making strategy in a discrete-time Limit Order Book (LOB). In our model, the number of filled orders during each period depends linearly on the distance between the fundamental…

Trading and Market Microstructure · Quantitative Finance 2021-01-11 Agostino Capponi , José E. Figueroa-López , Chuyi Yu

This paper proposes a preventive congestion management framework with joint Local Flexibility Capacity Market (LFCM) and Local Energy Markets (LEMs). The framework enables Local Energy Communities (LECs) to optimize their flexibility…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Maryam Mohiti , Mohammadreza Mazidi , David Steen , Le Anh Tuan