We focus on electricity load forecasting under three important specificities. First, our setting is adaptive; we use models taking into account the most recent observations available, yielding a forecasting strategy able to automatically respond to regime changes. Second, we consider probabilistic rather than point forecasting; indeed, uncertainty quantification is required to operate electricity systems efficiently and reliably. Third, we consider both conventional load (consumption only) and netload (consumption less embedded generation). Our methodology relies on the Kalman filter, previously used successfully for adaptive point load forecasting. The probabilistic forecasts are obtained by quantile regressions on the residuals of the point forecasting model. We achieve adaptive quantile regressions using the online gradient descent; we avoid the choice of the gradient step size considering multiple learning rates and aggregation of experts. We apply the method to two data sets: the regional net-load in Great Britain and the demand of seven large cities in the United States. Adaptive procedures improve forecast performance substantially in both use cases and for both point and probabilistic forecasting.
翻译:首先,我们的环境是适应性的;我们使用考虑到现有最新观测结果的模型,从而产生能够自动应对制度变化的预测战略。第二,我们考虑概率而不是点预测;事实上,为了高效和可靠地运行电力系统,需要不确定性量化。第三,我们既考虑常规负荷(仅消耗),也考虑净负荷(消费较少的发电),我们的方法依靠卡尔曼过滤器,以前曾成功地用于适应点负荷预测。概率预测是通过点预测模型剩余部分的量化回归获得的。我们通过在线梯度下降实现适应性量化回归;我们避免选择梯度梯度梯度大小,考虑到多种学习率和专家的集合。我们用这种方法对两组数据进行选择:英国的区域净负荷和美国七个大城市的需求。适应性程序大大改进了使用案例以及点值和概率预测的预测性业绩。