Multivariate simulation-based forecasting for intraday power markets: Modeling cross-product price effects

IF 1.3 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Simon Hirsch, Florian Ziel
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引用次数: 0

Abstract

Intraday electricity markets play an increasingly important role in balancing the intermittent generation of renewable energy resources, which creates a need for accurate probabilistic price forecasts. However, research to date has focused on univariate approaches, while in many European intraday electricity markets all delivery periods are traded in parallel. Thus, the dependency structure between different traded products and the corresponding cross-product effects cannot be ignored. We aim to fill this gap in the literature by using copulas to model the high-dimensional intraday price return vector. We model the marginal distribution as a zero-inflated Johnson's S U $$ {S}_U $$ distribution with location, scale, and shape parameters that depend on market and fundamental data. The dependence structure is modeled using copulas, accounting for the particular market structure of the intraday electricity market, such as overlapping but independent trading sessions for different delivery days and allowing the dependence parameter to be time-varying. We validate our approach in a simulation study for the German intraday electricity market and find that modeling the dependence structure improves the forecasting performance. Additionally, we shed light on the impact of the single intraday coupling on the trading activity and price distribution and interpret our results in light of the market efficiency hypothesis. The approach is directly applicable to other European electricity markets.

Abstract Image

基于多变量模拟的盘中电力市场预测:跨产品价格效应建模
日内电力市场在平衡可再生能源间歇性发电方面发挥着越来越重要的作用,因此需要准确的概率价格预测。然而,迄今为止的研究主要集中在单变量方法上,而在许多欧洲日内电力市场中,所有交付期都是并行交易的。因此,不同交易产品之间的依赖结构以及相应的跨产品效应不容忽视。我们的目标是利用共公式对高维度的当日价格回报向量进行建模,从而填补文献中的这一空白。我们将边际分布建模为零膨胀约翰逊 SU$$ {S}_U $$ 分布,其位置、规模和形状参数取决于市场和基本面数据。依赖性结构使用共公式建模,考虑了日内电力市场的特殊市场结构,例如不同交割日的交易时段相互重叠但相互独立,并允许依赖性参数随时间变化。我们在德国日内电力市场的模拟研究中验证了我们的方法,并发现依赖结构建模提高了预测性能。此外,我们还阐明了单一日内耦合对交易活动和价格分布的影响,并根据市场效率假设解释了我们的结果。该方法可直接应用于其他欧洲电力市场。
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来源期刊
CiteScore
2.70
自引率
0.00%
发文量
67
审稿时长
>12 weeks
期刊介绍: ASMBI - Applied Stochastic Models in Business and Industry (formerly Applied Stochastic Models and Data Analysis) was first published in 1985, publishing contributions in the interface between stochastic modelling, data analysis and their applications in business, finance, insurance, management and production. In 2007 ASMBI became the official journal of the International Society for Business and Industrial Statistics (www.isbis.org). The main objective is to publish papers, both technical and practical, presenting new results which solve real-life problems or have great potential in doing so. Mathematical rigour, innovative stochastic modelling and sound applications are the key ingredients of papers to be published, after a very selective review process. The journal is very open to new ideas, like Data Science and Big Data stemming from problems in business and industry or uncertainty quantification in engineering, as well as more traditional ones, like reliability, quality control, design of experiments, managerial processes, supply chains and inventories, insurance, econometrics, financial modelling (provided the papers are related to real problems). The journal is interested also in papers addressing the effects of business and industrial decisions on the environment, healthcare, social life. State-of-the art computational methods are very welcome as well, when combined with sound applications and innovative models.
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