Electricity prices in liberalized markets are determined by the supply and demand for electric power, which are in turn driven by various external influences that vary strongly in time. In perfect competition, the merit order principle describes that dispatchable power plants enter the market in the order of their marginal costs to meet the residual load, i.e. the difference of load and renewable generation. Many market models implement this principle to predict electricity prices but typically require certain assumptions and simplifications. In this article, we present an explainable machine learning model for the prices on the German day-ahead market, which substantially outperforms a benchmark model based on the merit order principle. Our model is designed for the ex-post analysis of prices and thus builds on various external features. Using Shapley Additive exPlanation (SHAP) values, we can disentangle the role of the different features and quantify their importance from empiric data. Load, wind and solar generation are most important, as expected, but wind power appears to affect prices stronger than solar power does. Fuel prices also rank highly and show nontrivial dependencies, including strong interactions with other features revealed by a SHAP interaction analysis. Large generation ramps are correlated with high prices, again with strong feature interactions, due to the limited flexibility of nuclear and lignite plants. Our results further contribute to model development by providing quantitative insights directly from data.
翻译:自由化市场的电力价格是由电力供求决定的,而电力供应和需求反过来是由不同时间差异很大的各种外部影响驱动的。在完美的竞争中,绩优顺序原则说明,可发送的电厂进入市场时,其边际成本按其边际成本顺序排列,以支付剩余负荷,即负载和可再生能源的差别。许多市场模式执行这一原则以预测电力价格,但通常需要某些假设和简化。在本篇文章中,我们提出了一个德国日头市场价格的可解释的机器学习模式,该模式大大超过基于绩优定原则的基准模式。我们的模型设计是为了事后分析价格,从而以各种外部特征为基础。利用“光滑动添加动力规划”的价值,我们可以分散不同特点的作用,将其重要性与空洞数据量化。如预期的那样,载荷、风能和太阳能发电似乎会影响比太阳能更强的价格。燃料价格也处于高位高位,并显示出不明显的依赖性依赖性,包括与价格事后分析的强势互动关系,并因此以各种外部特征为基础。我们利用“光谱”的模型,通过高清晰度数据分析,为我们一代数据分析提供高清晰度数据,从而进一步提供高度分析。