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Modeling and Forecasting Electricity Spot Prices: A Functional Data Perspective

机译:电力现货价格的建模和预测:功能数据视角

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摘要

Classical time series models have serious difficulties in modeling andforecasting the enormous fluctuations of electricity spot prices. Markovregime switch models belong to the most often used models in the electric-ity literature. These models try to capture the fluctuations of electricity spotprices by using different regimes, each with its own mean and covariancestructure. Usually one regime is dedicated to moderate prices and another isdedicated to high prices. However, these models show poor performance andthere is no theoretical justification for this kind of classification. The merit or-der model, the most important micro-economic pricing model for electricityspot prices, however, suggests a continuum of mean levels with a functionaldependence on electricity demand.We propose a new statistical perspective on modeling and forecastingelectricity spot prices that accounts for the merit order model. In a first step,the functional relation between electricity spot prices and electricity demandis modeled by daily price-demand functions. In a second step, we parameter-ize the series of daily price-demand functions using a functional factor model.The power of this new perspective is demonstrated by a forecast study thatcompares our functional factor model with two established classical time se-ries models as well as two alternative functional data models.
机译:经典的时间序列模型在建模和预测电价的巨大波动方面存在严重困难。 Markovregime开关模型属于电力文献中最常用的模型。这些模型试图通过使用不同的机制来捕获电力现货价格的波动,每种机制都有其自己的均值和协方差结构。通常,一种制度专门针对中等价格,另一种制度专门针对高价格。然而,这些模型显示出较差的性能,并且这种分类没有理论依据。优价阶模型是电价最重要的微观经济定价模型,它提出了一个平均水平的连续性,并具有对电力需求的功能依赖性。我们提出了一种新的统计观点,用于建模和预测电力现货价格,从而解释了绩效顺序模型。第一步,用每日价格需求函数来模拟电现货价格和电力需求之间的函数关系。第二步,我们使用功能因子模型对一系列每日价格需求函数进行参数设置,通过将我们的功能因子模型与两个已建立的经典时间序列模型进行比较的预测研究证明了这一新观点的力量。以及两个替代功能数据模型。

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    Liebl Dominik;

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  • 年度 2013
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