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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…

最优化与控制 · 数学 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…

计算工程、金融与科学 · 计算机科学 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…

证券定价 · 定量金融 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…

证券定价 · 定量金融 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…

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…

机器学习 · 计算机科学 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…

证券定价 · 定量金融 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…

证券定价 · 定量金融 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…

系统与控制 · 电气工程与系统科学 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…

物理与社会 · 物理学 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,…

交易与市场微观结构 · 定量金融 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…

数据分析、统计与概率 · 物理学 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…

计算金融 · 定量金融 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…

计算金融 · 定量金融 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…

应用统计 · 统计学 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…

系统与控制 · 电气工程与系统科学 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…

数据分析、统计与概率 · 物理学 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…

应用统计 · 统计学 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…

概率论 · 数学 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…

交易与市场微观结构 · 定量金融 2023-01-30 Thibaut Théate , Antonio Sutera , Damien Ernst
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