Abstract:In view of the influence of multi-variable on the chaotic prediction in practical application, a method for phase space reconstruction of multivariate time series is proposed, and a weighted one-rank local chaos forecasting model on multi-variable was established. The equal probability-based maximum joint entropy and the minimum Shannon entropy are introduced to get the delay time and the embedding dimension respectively, realizing the sub-sequence reconstruction to the chaotic prediction model. The nearest neighbor point method is used to determine the neighborhood of the prediction center to avoid false neighbors, and the correlation analysis is used to determine the observed variables. The model was applied to short-term load forecasting, and the temperature time series was introduced as another observation variable by the analysis of the impact of temperature and other factors related to electric load. The experimental results showed that the prediction accuracy was improved compared with the single variable forecasting method.
[1]肖白,周潮,穆钢.空间电力负荷预测方法综述与展望[J].中国电机工程学报,2013,33(25):78-92.
[2]Hu Y, Chang X. Short-term load forecasting based on local wave method and LSSVM[J]. Electrical Measurement & Instrumentation, 2015, 52(7):5-9.
[3]王书涛,李梅梅,张淑清,等.基于多重分形去趋势波动的机械故障诊断新方法[J].计量学报,2012,33(3):232-235.
[4]郭创新,王扬,沈勇,等.风电场短期风速的多变量局域预测法[J].中国电机工程学报,2012,32(1):24-31.
[5]马哲,舒勤.基于ESPRIT分解算法的短期电力负荷预测[J].电力系统保护与控制,2015,43(7):90-96.
[6]张淑清,师荣艳,董玉兰,等.双变量小波阈值去噪和改进混沌预测模型在短期电力负荷预测中的应用[J].中国电机工程学报,2015, 35(22):5723-5730.
[7]张淑清,董璇,翟欣沛,等.基于EEMD和混沌的信号特征提取方法及应用[J].计量学报,2013,34(2):173-179.
[8]张淑清,任爽,师荣艳,等.基于多变量气象因子的LMBP电力日负荷预测[J].仪器仪表学报,2015,36(7):1646-1652.
[9]王玉田,李长吾,李艳春,等.基于小波神经网络的农药荧光光谱识别[J].计量学报,2008,29(1):84-86.
[10]张淑清,李新新,张立国,等.基于符号分析的极大联合熵延迟时间求取方法[J].物理学报,2013,62(11):110506-110511.
[11]张雨.时间序列的混沌和符号分析及实践[M].长沙:国防科技大学出版社,2007.
[12]黄晓林,霍铖宇,司峻峰,等.等概率符号化样本熵应用于脑电分析[J].物理学报,2014,63 (10):26-31.
[13]张淑清,李盼,冯璐,等.基于LMD能量熵和GK模糊聚类的电能质量扰动识别[J].计量学报,2016,37(1):90-95.
[14]Chaturvedi D K, Sinha A P, Malik O P. Short term load forecast using fuzzy logic and wavelet transform integrated generalized neural network[J]. International Journal of Electrical Power & Energy Systems, 2015, 67:230-237.
[15]刘明.基于连云港市的电力系统短期负荷预测研究[J]. 东北电力技术, 2015,36 (2):29-34.
[16]张素香,赵丙镇,王风雨,等.海量数据下的电力负荷短期预测[J].中国电机工程学报, 2015,35(1):37-42.
[17]刘自发,庞铖铖,王泽黎,等.基于云理论和元胞自动机理论的城市配电网空间负荷预测[J].中国电机工程学报,2013,33(10):98-105.
[18]管红立,王博文,赵智忠.基于相空间重构和Lyapunov 指数电弧电压混沌特性分析[J]. 燕山大学学报, 2017,41(2):149-155.
[19]于之虹, 黄彦浩, 鲁广明,等.基于时间序列关联分析的稳定运行规则提取方法[J]. 中国电机工程学报, 2015 35(3):519-526.
[20]张淑清,任爽,姜安琦,等.PCA-GRNN在综合气象短期负荷预测中的应用[J].计量学报, 2017, 38(3): 340-344.
[21]孙冠群,张黎锁.基于细菌觅食算法的异步电动机现场效率估算[J].计量学报,2017,38(2):215-219.