基于主成分分析和最小二乘支持向量机的电力短期负荷预测
首发时间:2009-07-06
摘要:虽然支持向量机具有非线性拟合、泛化能力强、训练收敛速度快等显著特点,但当处理海量电力负荷数据时,支持向量机的训练效率降低,针对解决这一问题提出的最小二乘支持向量机被引入电力短期负荷预测中。当负荷样本数据维数过高时,最小二支持乘向量机负荷预测模型的泛化能力将下降,主成分分析就是一种线性降维的措施。本文建立了基于主成分分析的最小二乘支持向量机的电力短期负荷预测模型,经过算例验证,该方法减少了工作量,提高了负荷预测模型的预测精度。通过主成分分析获得的是原始特征的线性关系,核主成分分析能够反映原始特征的非线性关系。本文提出了基于核主成分分析的最小二乘支持向量机的短期负荷预测模型,经过算例验证,该模型比基于主成分分析的最小二乘支持向量机的负荷预测模型的精度有所提高。
关键词: 电力系统 短期负荷预测 最小二乘支持向量机 主成分分析 核主成分分析
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Power system short-term load forecasting based on KPCA-LSSVM
Abstract:Although SVM have the remarkable advantages of non-linear regression, high and small time complexity, its training efficiency will reduce when it dealing with massive data of load. According to this problem, load forecasting based on least squares support vector machines is introduced to short-term load forecasting. Load forecasting based on least squares support vector machines will reduce when the Dimension of sample data is too high. principle component analysis(PCA) is one of linear dimensionality reduction measures. The load forecasting based on least squares support vector machines and PCA is established in this paper. The results of practical example shows that the workload of the load forecasting model is reduced and the prediction accuracy is improved by this method.PCA can obtain the linear relationship of the original characteristics. kernel principle component analysis(KPCA) can reflect the nonlinear relationship of the original characteristics. So Load forecasting based on least squares support vector machines and KPCA is put forward in this paper. The results of practical example shows that the prediction accuracy of this method is higher than the load forecasting based on least squares support vector machines and PCA.
Keywords: power systems short-term load forecasting least squares support vector machine principle component analysis kernel principle component analysis
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