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基于非高斯分布GARCH模型的负荷预测 被引量:15

Load forecast based on GARCH model with non-Gaussian distribution
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摘要 提出一种基于非高斯分布的广义自回归条件异方差(GARCH)模型的短期负荷预测方法。在论证自回归条件异方差(ARCH)效应存在性的基础上,将标准GARCH模型的正态条件分布假设推广为非高斯条件分布的形式(t分布、广义误差分布)。用极大似然估计获得ARCH族各模型的参数估计,建立了非高斯分布假设GARCH模型(GARCH-t,GARCH-GED)。比较了ARMA、标准GARCH、非高斯分布GARCH模型的预测能力,分析平均预测误差、最大预测误差能力等指标显示GARCH-GED模型表现最出色。算例表明,基于非高斯分布GARCH负荷预测模型是有效而可行的。 A short- term load forecast method based on GARCH(Generalized AutoRegressive Conditional Heteroscedasticity) model with non- Gaussian distributions is proposed. Based on the discussion of ARCH effect existence,the Gaussian conditional distribution assumption of standard GARCH model is generalized to non-Gaussian alternative distribution (t distribution,generalized error distribution). The model parameter estimations are obtained by Maximum Likelihood Estimation and the improved GARCH models with non-Gaussian distribution,such as GARCH-t and GARCH -GED,are established. The forecast performances are compared among ARMA,standard GARCH, GARCH-t and GARCH-GED,and their mean forecast errors and maximum forecast errors are analyzed,which indicate GARCH-GED is superior to other models. Calculation example shows that the load forecast method based on GARCH model with non-Gaussian distribution is efficient and feasible.
作者 陈昊
出处 《电力自动化设备》 EI CSCD 北大核心 2008年第7期65-68,共4页 Electric Power Automation Equipment
关键词 负荷预测 厚尾 GARCH—t GARCH—GED 非高斯分布 load forecast fat- tail GARCH - t GARCH - GED non- Gaussian distribution
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