Regional Wind Power Probabilistic Forecasting Based on an Improved Kernel Density Estimation, Regular Vine Copulas, and Ensemble Learning

Weichao Dong, Hexu Sun, Jianxin Tan, Zheng Li, Jingxuan Zhang, Huifang Yang
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引用次数: 21

Abstract

Reliable wind energy forecasting is crucial for the stable operation of power grids. This paper proposes a regional wind power probabilistic forecasting model comprising an improved kernel density estimation (IKDE), regular vine copulas, and ensemble learning. The IKDE is firstly used to generate the margin probability density function (PDF) of each wind farm and the KDE bandwidth is optimized via the golden-section search algorithm to obtain the best possible prediction. Then, several dependence structures are formulated by building different regular vine copulas based on multiple criteria, and all the dependence structures work together with marginal PDF to generate respective joint distribution functions. Finally, ensemble learning is applied to combine all the joint distribution functions and establish an ultimate distribution function. Furthermore, a novel multi-distribution mega-trend-diffusion (MD-MTD) with parametric optimization is proposed to improve the prediction when the data are insufficient. The results of comparative evaluations conducted on datasets from eight wind farms indicate that the proposed model outperforms existing models in wind power generation prediction. Specifically, the proposed model can reliably forecast power generation for an entire region for the next 24 h with only three months of historical data. In contrast, most benchmark models require a year of data.
基于改进核密度估计、规则Vine copula和集成学习的区域风电概率预测
可靠的风能预测对电网的稳定运行至关重要。本文提出了一种由改进核密度估计(IKDE)、规则藤copulas和集成学习组成的区域风电概率预测模型。首先利用KDE生成每个风电场的边际概率密度函数(PDF),并通过黄金分割搜索算法对KDE带宽进行优化,以获得可能的最佳预测。然后,基于多个准则构建不同的正则藤copula,形成若干依赖结构,并与边际PDF共同生成各自的联合分布函数。最后,应用集成学习将所有联合分布函数组合起来,建立最终分布函数。在此基础上,提出了一种参数优化的多分布大趋势扩散(MD-MTD)方法,以改善数据不足时的预测效果。对8个风电场的数据集进行对比评估,结果表明该模型在风力发电预测方面优于现有模型。具体来说,所提出的模型仅用三个月的历史数据就能可靠地预测整个地区未来24小时的发电量。相比之下,大多数基准模型需要一年的数据。
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