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Weconsider Markov decision processes arising from a Markov model of an underlying natural phenomenon. Such phenomena are usually periodic (e.g. annual) in time, and so the Markov processes modelling them must be time-inhomogeneous, with…

Optimization and Control · Mathematics 2024-09-17 Arash Khojaste , Geoffrey Pritchard , Golbon Zakeri

Nowadays hydroelectric energy is one of the best energy sources: it is cleaner, safer and more programmable than other sources. For this reason, its manage could not be done in an approssimative way, but advance mathematical models must be…

Computational Engineering, Finance, and Science · Computer Science 2016-11-01 Matteo Gardini , Aurora Manicardi

In this paper we present an algorithm for pricing barrier options in one-dimensional Markov models. The approach rests on the construction of an approximating continuous-time Markov chain that closely follows the dynamics of the given…

Pricing of Securities · Quantitative Finance 2015-03-13 Aleksandar Mijatovic , Martijn Pistorius

The shortcomings of the popular Black-Scholes-Merton (BSM) model have led to models which could more accurately model the behavior of the underlying assets in energy markets, particularly in electricity and future oil prices. In this paper…

Pricing of Securities · Quantitative Finance 2020-06-01 Konrad Gajewski , Sebastian Ferrando , Pablo Olivares

This paper develops risk-averse models to support system operators in planning and operating the electricity grid under uncertainty from renewable power generation. We incorporate financial risk hedging using conditional value at risk…

Optimization and Control · Mathematics 2026-01-06 Arash Khojaste , Jonathan Pearce , Daniela Pucci de Farias , Geoffrey Pritchard , Golbon Zakeri

The increasing penetration level of energy generation from renewable sources is demanding for more accurate and reliable forecasting tools to support classic power grid operations (e.g., unit commitment, electricity market clearing or…

Machine Learning · Computer Science 2020-07-17 Michela Moschella , Mauro Tucci , Emanuele Crisostomi , Alessandro Betti

In this paper analytic formulas for electricity derivatives are calculated. To this end, we assume that electricity spot prices follow a 3-regime Markov regime-switching model with independent spikes and drops and periodic transition…

Pricing of Securities · Quantitative Finance 2012-03-27 Joanna Janczura

An efficient method to price bonds with optional sinking feature is presented. Such instruments equip their issuer with the option (but not the obligation) to redeem parts of the notional prior to maturity, therefore the future cash flows…

Pricing of Securities · Quantitative Finance 2013-05-23 Jan-Frederik Mai , Marc Wittlinger

In the evolving power system, where new renewable resources continually displace conventional generation, conventional hydropower resources can be an important asset that helps to maintain reliability and flexibility. Varying climatic…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Bhaskar Mitra , Sohom Datta , Slaven Kincic , Nader Samaan , Abhishek Somani

We expand the renewable technology model palette and present a validated high resolution hydro power time series model for energy systems analysis. Among the popular renewables, hydroelectricity shows unique storage-like flexibility, which…

Physics and Society · Physics 2019-06-18 Hailiang Liu , Gorm Bruun Andresen , Tom Brown , Martin Greiner

We consider a 2-dimensional marked Hawkes process with increasing baseline intensity in order to model prices on electricity intraday markets. This model allows to represent different empirical facts such as increasing market activity,…

Trading and Market Microstructure · Quantitative Finance 2021-03-17 Thomas Deschatre , Pierre Gruet

Wind energy is becoming a top contributor to the renewable energy mix, which raises potential reliability issues for the grid due to the fluctuating nature of its source. To achieve adequate reserve commitment and to promote market…

Data Analysis, Statistics and Probability · Physics 2013-10-14 Teresa Scholz , Vitor V. Lopes , Ana Estanqueiro

We develop a novel deep learning approach for pricing European options in diffusion models, that can efficiently handle high-dimensional problems resulting from Markovian approximations of rough volatility models. The option pricing partial…

Computational Finance · Quantitative Finance 2025-04-04 Antonis Papapantoleon , Jasper Rou

We propose a very efficient method for pricing various types of lookback options under Markov models. We utilize the model-free representations of lookback option prices as integrals of first passage probabilities. We combine efficient…

Computational Finance · Quantitative Finance 2021-12-02 Gongqiu Zhang , Lingfei Li

In order to reach the supply/demand balance, electricity providers need to predict the demand and production of electricity at different time scales. This implies the need of modeling weather variables such as temperature, wind speed, solar…

Applications · Statistics 2017-10-24 Augustin Touron

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov decision process model to efficiently schedule battery systems…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Hussein Sharadga , Ahmad Dawahdeh , Golbon Zakeri , Abdullah Hayajneh , Geoff Pritchard

Wind power generation exhibits a strong temporal variability, which is crucial for system integration in highly renewable power systems. Different methods exist to simulate wind power generation but they often cannot represent the crucial…

Data Analysis, Statistics and Probability · Physics 2018-04-04 Juliane Weber , Christopher Zachow , Dirk Witthaut

We introduce a general, simple, and computationally efficient framework for predicting day-ahead supply and demand merit-order curves, from which both point and probabilistic electricity price forecasts can be derived. We conduct a rigorous…

Applications · Statistics 2026-01-12 Guillaume Koechlin , Filippo Bovera , Piercesare Secchi

We construct a family of genealogy-valued Markov processes that are induced by a continuous-time Markov population process. We derive exact expressions for the likelihood of a given genealogy conditional on the history of the underlying…

Probability · Mathematics 2022-01-26 Aaron A. King , Qianying Lin , Edward L. Ionides

The energy transition is expected to significantly increase the share of renewable energy sources whose production is intermittent in the electricity mix. Apart from key benefits, this development has the major drawback of generating a…

Trading and Market Microstructure · Quantitative Finance 2023-01-30 Thibaut Théate , Antonio Sutera , Damien Ernst
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