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In this paper we introduce a new concept for modelling electricity prices through the introduction of an unobservable intrinsic electricity price $p(\tau)$. We use it to connect the classical theory of storage with the concept of a risk…

Mathematical Finance · Quantitative Finance 2020-11-10 Wieger Hinderks , Ralf Korn , Andreas Wagner

The European Power Exchange has introduced day-ahead auctions and continuous trading spot markets to facilitate the insertion of renewable electricity. These markets are designed to balance excess or lack of power in short time periods,…

Statistical Finance · Quantitative Finance 2021-12-08 Leonardo Rydin Gorjão , Dirk Witthaut , Pedro G. Lind , Wided Medjroubi

We study historical calibration of one- and two-factor models that are known to describe relatively well the dynamics of energy underlyings such as spot and index natural gas or oil prices at different physical locations or regional power…

Pricing of Securities · Quantitative Finance 2010-11-23 Josh Gray , Konstantin Palamarchuk

Accurate day-ahead electricity price forecasting is essential for residential welfare, yet current methods often fall short in forecast accuracy. We observe that commonly used time series models struggle to utilize the prior correlation…

Machine Learning · Computer Science 2024-08-20 Linian Wang , Jianghong Liu , Huibin Zhang , Leye Wang

Wholesale electricity markets in many jurisdictions use a two-settlement structure: a day-ahead market for bulk power transactions and a real-time market for fine-grain supply-demand balancing. This paper explores trading demand response…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Deepan Muthirayan , Dileep Kalathil , Sen Li , Kameshwar Poolla , Pravin Varaiya

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model…

Mathematical Finance · Quantitative Finance 2016-02-23 Giorgia Callegaro , Luciano Campi , Valeria Giusto , Tiziano Vargiolu

Locational Marginal Price (LMP) is a dual variable associated with supply-demand matching and represents the cost of delivering power to a particular location if the load at that location increases. In recent times it become more volatile…

Optimization and Control · Mathematics 2018-11-07 Shantanu Chakraborty , Remco Verzijlbergh , Milos Cvetkovic , Kyri Baker , Zofia Lukszo

In this work we considered several hybrid modelling approaches for forecasting energy spot prices in EPEC market. Hybridization is performed through combining a Naive model, Fourier analysis, ARMA and GARCH models, a mean-reversion and…

Statistical Finance · Quantitative Finance 2020-10-19 Tahir Miriyev , Alessandro Contu , Kevin Schafers , Ion Gabriel Ion

As variable renewable energy increases and more demand is electrified, we expect price formation in wholesale electricity markets to transition from being dominated by fossil fuel generators to being dominated by the opportunity costs of…

General Economics · Economics 2026-04-01 Julian Geis , Fabian Neumann , Michael Lindner , Philipp Härtel , Tom Brown

Power system models are a valuable and widely used tool to determine cost-minimal future operation and investment under political or ecological boundary conditions. Yet they are silent about the allocation of costs of single assets, as…

Physics and Society · Physics 2020-10-27 Fabian Hofmann

This working paper presents a comprehensive study on the development and analysis of various electricity market models, focusing on continuous, discrete, and fractional-order approaches. The continuous model captures the ongoing…

Optimization and Control · Mathematics 2024-07-29 Ioannis Dassios

The electricity grid is expected to require vast investments due to the decarbonization-by-electrification trend, calling for a change in grid tariff design which provides proper incentives for reducing peak loads. However, price signals…

Optimization and Control · Mathematics 2022-06-29 Sigurd Bjarghov , Matthias Hofmann

In our paper we analyze the relationship between the day-ahead electricity price of the Energy Exchange Austria (EXAA) and other day-ahead electricity prices in Europe. We focus on markets, which settle their prices after the EXAA, which…

Trading and Market Microstructure · Quantitative Finance 2021-02-02 Florian Ziel , Rick Steinert , Sven Husmann

In this paper, we formulate a method for minimising the expectation value of the procurement cost of electricity in two popular spot markets: {\it day-ahead} and {\it intra-day}, under the assumption that expectation value of unit prices…

Economics · Quantitative Finance 2023-03-03 Naoya Yamaguchi , Maiya Hori , Yoshinari Ideguchi

Researchers and electricity sector practitioners frequently require the supply curve of electricity markets and the price elasticity of supply for purposes such as price forecasting, policy analyses or market power assessment. It is common…

We propose a scenario-oriented approach for energy-reserve joint procurement and pricing for electricity market. In this model, without the empirical reserve requirements, reserve is procured according to all possible contingencies and…

Systems and Control · Electrical Eng. & Systems 2020-11-23 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

Polynomial processes have the property that expectations of polynomial functions (of degree $n$, say) of the future state of the process conditional on the current state are given by polynomials (of degree $\leq n$) of the current state.…

Computational Finance · Quantitative Finance 2018-04-27 Damir Filipovic , Martin Larsson , Tony Ware

Since the 1990s, widespread introduction of central (wholesale) electricity markets has been seen across multiple continents, driven by the search for efficient operation of the power grid through competition. The increase of renewables has…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Pål Forr Austnes , Matthieu Jacobs , Lu Wang , Mario Paolone

The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker