基于Kolmogorov熵的低压电力线信道特性分析
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摘要
将Kolmogorov熵引入低压电力线信道特性的研究。通过计算不同条件下测得的电力线时间序列的Kolmogorov熵值,分析研究信道的混沌特征。主要结果有Kolmogorov熵值与电力网络的运行工况(地点、时间、负荷)呈正相关性,恒大于零,且趋于某一饱和值;同时,Kolmogorov熵受数据测量电路的通频带、采样间隔等参数影响。据此可推得如下结论:低压电力线信道具有混沌特征,短时可预测;Kolmogorov熵可作为描述低压电力线信道模型、估计信道特性的参数之一。
This paper introduced the Kolmogorov entropy theory to study the characteristics of low-voltage power line communication(L-PLC) channel,computed the Kolmogorov entropy of time series measured from the L-PLC channel under different conditions and the main results were as follows: the value of Kolmogorov entropy was positively correlated with the running condition of power system and was positive when the embedding dimension was big enough.And the value tends to be saturated with the increase of embedding dimension.At the meantime,the Kolmogorov entropy is greatly affected by the transmission bands and sampling interval of data measurement circuits.Accordingly,the following conclusions are drawn: the L-PLC channel is a chaotic system and can be predicted for a short time interval.The Kolmogorov entropy can be employed as one of the parameters to describe the model of L-PLC channel and estimate the characteristics of the channel.
This paper introduced the Kolmogorov entropy theory to study the characteristics of low-voltage power line communication(L-PLC) channel,computed the Kolmogorov entropy of time series measured from the L-PLC channel under different conditions and the main results were as follows: the value of Kolmogorov entropy was positively correlated with the running condition of power system and was positive when the embedding dimension was big enough.And the value tends to be saturated with the increase of embedding dimension.At the meantime,the Kolmogorov entropy is greatly affected by the transmission bands and sampling interval of data measurement circuits.Accordingly,the following conclusions are drawn: the L-PLC channel is a chaotic system and can be predicted for a short time interval.The Kolmogorov entropy can be employed as one of the parameters to describe the model of L-PLC channel and estimate the characteristics of the channel.
引文
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[17]张在玲,韩富春,朱永利,等.非均匀传输特性的低压电力线载波传输模型[J].电工技术学报,2004,19(4):107-110.
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[19]WANG Zhen-chao,HOU Hui-ran,GAN Yu-tao.Feature extractionof the noise in L-PLC[C]//Proc of IEEE ICAL Conference.2007:1341-1346.
[20]WANG Zhen-chao,ZHANG Shi-bing,HOU Hui-ran.Analysis ofKolmogorov entropy characteristic of L-PLC channel[C]//Proc ofIEEE International Conference on Networking,Sensing and Control.2008:1764-1769.
[21]吕金虎,陆君安,陈士华.混沌时间序列分析及其应用[M].武汉:武汉大学出版社,2002.
[22]GRASSBERGER P,PROCACIA I.Estimation of the Kolmogorov en-tropy from a chaotic signal[J].Physical Review A,1983,28(4):2591-2593.
[23]PAWELZIK K,SCHUSTER HG.Generalized dimensions and entro-pies froma measured time series[J].Physical Review A,1987,35(1):531-534.
[24]陈子林,周硕愚.蕴震系统的Kolmogorov熵及其可预报性[J].地壳变形与地震,1994,14(3):42-50.
[25]张韧,吴王杰.天气和气候的可预报性及其预报时效的估计[J].海洋预报,1995,12(4):67-70.
[26]王乔晨,郭静波,王赞基.低压配电网电力线高频噪声的测量与分析[J].电力系统自动化,2002,26(1):18-21.
[2]孙海翠,张金波.低压电力线载波通信技术研究与应用[J].电测与仪表,2006,43(8):54-57.
[3]汤效军.电力线载波通信技术的发展及特点[J].电力系统通信,2003,24(1):47-51.
[4]何海波,周拥华,吴昕,等.低压电力线载波通信研究与应用现状[J].继电器,2001,29(7):12-16.
[5]ZENG Xu,LIANG Ming,LIUHuai-zhi,et al.Monitoring system ofdistribution running states based on broadband power line communica-tion[C]//Proc of International Conference on Power System Techno-logy.2006:1-6.
[6]KIMD S,LEE S Y,WANG KY,et al.Apower line communicationmodem based on adaptively received signal detection for networkedhome appliances[J].IEEE Trans on Consumer Electronics,2007,53(3):864-870.
[7]YANG Ping,YAN Heng-ming.A practical intelligent home systembased on power line communication[C]//Proc of the 2nd Internatio-nal Conference on Power Electronics Systems and Applications.2006:273-276.
[8]高锋,董亚波.低压电力线载波通信中信号传输特性分析[J].电力系统自化,2000,24(11):36-40.
[9]ZHAI Ming-yue.Measurements and channel characteristics of LVpower-line communications networks in China[C]//Proc of IEEE In-ternational Symposium on Power Line Communications and Its Appli-cations.2006:212-216.
[10]MENG Ju-lian.Noise analysis of power-line communications usingspread spectrum modulation[J].IEEE Trans on Power Delivery,2007,22(3):1470-1476.
[11]李荣伟,吴乐南.多载波电力线通信系统脉冲噪声处理方法研究[J].电子与信息学报,2006,28(9):1697-1702.
[12]王振朝,张俊林,师洁.低压PLC信道特性研究与新型调制解调算法探讨[J].电测与仪表,2006,43(6):5-8.
[13]GOTZ M,EDISON C.Power-line channel characteristics and theireffect on communication system design[J].IEEE CommunicationsMagazine,2004,42(4):78-86.
[14]孙秀娟,罗运虎,刘志海,等.低压电力线载波通信的信道特性分析与抗干扰措施[J].电力自动化设备,2007,27(2):43-46.
[15]CANETE F J,DIEZ L,CORTES J A,et al.Broadband modelling ofindoor power-line channels[J].IEEE Trans on Consumer Elec-tronics,2002,48(1):175-183.
[16]王乔晨,郭静波.低压配电网电力线高频噪声的测量与分析[J].电力系统自动化,2002,20(11):18-21.
[17]张在玲,韩富春,朱永利,等.非均匀传输特性的低压电力线载波传输模型[J].电工技术学报,2004,19(4):107-110.
[18]刘红,张东来,孙光伟.电力线载波中传输线模型的建立及应用[J].电力系统及其自动化学报,2002,14(3):27-31.
[19]WANG Zhen-chao,HOU Hui-ran,GAN Yu-tao.Feature extractionof the noise in L-PLC[C]//Proc of IEEE ICAL Conference.2007:1341-1346.
[20]WANG Zhen-chao,ZHANG Shi-bing,HOU Hui-ran.Analysis ofKolmogorov entropy characteristic of L-PLC channel[C]//Proc ofIEEE International Conference on Networking,Sensing and Control.2008:1764-1769.
[21]吕金虎,陆君安,陈士华.混沌时间序列分析及其应用[M].武汉:武汉大学出版社,2002.
[22]GRASSBERGER P,PROCACIA I.Estimation of the Kolmogorov en-tropy from a chaotic signal[J].Physical Review A,1983,28(4):2591-2593.
[23]PAWELZIK K,SCHUSTER HG.Generalized dimensions and entro-pies froma measured time series[J].Physical Review A,1987,35(1):531-534.
[24]陈子林,周硕愚.蕴震系统的Kolmogorov熵及其可预报性[J].地壳变形与地震,1994,14(3):42-50.
[25]张韧,吴王杰.天气和气候的可预报性及其预报时效的估计[J].海洋预报,1995,12(4):67-70.
[26]王乔晨,郭静波,王赞基.低压配电网电力线高频噪声的测量与分析[J].电力系统自动化,2002,26(1):18-21.
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