2025年7月31日 周四
Home > Archive>Volume 39, Issue 5, 2024 >83-90. DOI:10.19781/j.issn.1673-9140.2024.05.009
PDF HTML XML Export Cite reminder
Harmonic responsibility estimation method based on gaussian mixture model
Author:
Affiliation:

(1.Electrical and Electronic Engineering College, Shandong University of Technology Zibo 255000, China;2.Taian Power Supply Company, State Grid Shandong Electric Power Co., Ltd., Taian 271000, China;3.Laizhou Power Supply Company, State Grid Shandong Electric Power Co., Ltd., Laizhou 261400, China)

Clc Number:

TM935

  • Article
    • | |
  • Metrics
    • |
  • Reference [31]
    • | | | |
  • Comments
    Abstract:

    A harmonic responsibility estimation method based on the Gaussian mixture model (GMM) is proposed for partially observable systems. This method estimates the harmonic responsibility of each harmonic load based on the probabilistic distribution characteristics of measured harmonic voltages, circumventing the difficulties in quantifying harmonic responsibility due to the introduction of unmeasurable line parameters. Specifically, the process begins by training a GMM using the measured harmonic voltage samples. Then, the number and range of Gaussian components in the mixture model are determined based on the Bayesian information criterion and the Kullback-Leibler divergence ratio. Additionally, anomaly detection of harmonic voltage samples is achieved through the Z-test principle. Finally, the effectiveness of the proposed method is verified using the IEEE 14-node test system.

    Reference
    [1] 黄祎,欧阳森,程伟添.电网高压谐波电压多维概率特性与时序特征及其评价方法研究[J].电力科学与技术学报,2023,38(5):196-205. HUANG Yi,OUYANG Sen,CHENG Weitian.Study on multidimensional probability characteristics,time-series features,and evaluation methods of high voltage harmonic voltages in power grids[J].Journal of Electric Power Science and Technology,2023,38(5):196-205.
    [2] 景巍巍,付慧,程伟添,等.考虑时序趋势特性的典型场景高压谐波综合评估方法[J].电力科学与技术学报,2023,38(6):215-224. JING Weiwei,FU Hui,CHENG Weitian,et al.Comprehensive evaluation method of high-voltage harmonics in typical scenarios considering time series trend characteristics[J].Journal of Electric Power Science and Technology,2023,38(6):215-224.
    [3] 刘博闻,邹国平,魏兴昌,等.用于过电压检测的电流互感器高频等效电路建模方法[J].高压电器,2023,59(3):156-162. LIU Bowen,ZOU Guoping,WEI Xingchang,et al.Modeling method of high-frequency equivalent circuit of current transformer for overvoltage detection[J].High Voltage Apparatus,2023,59(3):156-162.
    [4] 丁同,陈红坤,吴斌,等.多谐波源定位及谐波责任量化区分方法综述[J].电力自动化设备,2020,40(1):19-30. DING Tong,CHEN Hongkun,WU Bin,et al.Overview on location and harmonic responsibility quantitative determination methods of multiple harmonic sources[J].Electric Power Automation Equipment,2020,40(1):19-30.
    [5] 高敏,朱明星,张华赢,等.基于无相位谐波监测数据的谐振源辨识方法[J].电力系统保护与控制,2024,52(04):166-175. GAO Min1,ZHU Mingxing,ZHANG Huaying,et al.Resonance source identification method based on phase-free harmonic monitoring data[J].Power System Protection and Control,2024,52(04):166-175.
    [6] 张逸,刘必杰,林才华,等.基于负荷等值阻抗参数的谐波责任划分方法[J].高电压技术,2023,49(8):3487-3501. ZHANG Yi,LIU Bijie,LIN Caihua,et al.Harmonic responsibility division method based on load equivalent impedance parameters[J].High Voltage Engineering,2023,49(8):3487-3501.
    [7] 林潇,邵振国,陈飞雄,等.采用线性动态聚类的谐波责任区间估计[J].中国电机工程学报,2023,43(11):4284-4295. LIN Xiao,SHAO Zhenguo,CHEN Feixiong,et al.Harmonic responsibility interval estimation based on linear dynamic clustering[J].Proceedings of the CSEE,2023,43(11):4284-4295.
    [8] 孙媛媛,李树荣,石访,等.含分布式谐波源的配电网多谐波源责任划分[J].中国电机工程学报,2019,39(18):5389-5398+5586. SUN Yuanyuan,LI Shurong,SHI Fang,et al.Multiple harmonic source contribution determination in the active distribution network with distributed harmonic sources[J].Proceedings of the CSEE,2019,39(18):5389-5398+5586.
    [9] 林顺富,李育坤,程卫健,等.一种改进递推最小二乘的系统谐波阻抗估计方法[J].电网技术,2023,47(7):2879-2890. LIN Shunfu,LI Yukun,CHENG Weijian,et al.Improved recursive least square method for system harmonic impedance estimation[J].Power System Technology,2023,47(7):2879-2890.
    [10] 徐方维,郑鸿儒,杨洪耕,等.基于无相位实测数据的系统侧谐波阻抗估计方法[J].电力系统自动化,2019,43(21):170-176+212. XU Fangwei,ZHENG Hongru,YANG Honggeng,et al.Harmonic impedance estimation method on system side based on measurement data without phase angle[J].Automation of Electric Power Systems,2019,43(21):170-176+212.
    [11] 李欢,傅闯,辛清明,等.高压直流输电系统直流谐波阻抗的解析计算及谐振分析研究[J].电力系统保护与控制,2022,50(19):67-79. LI Huan,FU Chuang,XIN Qingming,et al.Analytical calculation of DC harmonic impedance and DC resonance analysis of an HVDC transmission system[J].Power System Protection and Control,2022,50(19):67-79.
    [12] 邵振国,林洪洲,陈飞雄,等.采用区间动态状态估计的局部不可观系统谐波源定位[J].电工技术学报,2023,38(9):2391-2402. SHAO Zhenguo,LIN Hongzhou,CHEN Feixiong,et al.Harmonic source location in the partial unobservable system based on interval dynamic state estimation[J].Transactions of China Electrotechnical Society,2023,38(9):2391-2402.
    [13] 黄蔓云,王天昊,卫志农,等.基于长短期记忆网络的UKF动态谐波状态估计[J].电力系统保护与控制,2022,50(11):1-11. HUANG Manyun,WANG Tianhao,WEI Zhinong,et al.Dynamic harmonic state estimation of an unscented Kalman filter based on long short-term memory neural networks[J].Power System Protection and Control,2022,50(11):1-11.
    [14] 舒朝君,王亚,崔浩,等.基于互信息的配电网多谐波源识别方法[J].电力科学与技术学报,2018,33(1):16-21. SHU Chaojun,WANG Ya,CUI Hao,et al.Multi-harmonic sources identification method for distribution network based on mutual information[J].Journal of Electric Power Science and Technology,2018,33(1):16-21.
    [15] 方曼琪.基于盲源分离的谐波源识别技术[D].成都:西南交通大学,2019. FANG Manqi.Harmonic source identification technology based on blind source separation[D].Chengdu:Southwest Jiaotong University,2019.
    [16] 高鹏.电力系统谐波源辨识和谐波经济性损失评估方法研究[D].兰州:兰州交通大学,2023. GAO Peng.Research on harmonic source identification and harmonic economic loss evaluation method in power system[D].Lanzhou:Lanzhou Jiatong University,2023.
    [17] 陈少伟,邵振国.基于最大后验估计的谐波源定位[J].电力系统及其自动化学报,2019,31(12):64-69. CHEN Shaowei,SHAO Zhenguo.Harmonic source localization based on maximum posteriori estimation[J].Proceedings of the CSU-EPSA,2019,31(12):64-69.
    [18] 李永刚,潘建铭,刘淇玉,等.基于Hausdorff距离和改进密度峰值聚类的谐波责任划分方法[J/OL].华北电力大学学报(自然科学版),1-12[2023-10-21].http://kns.cnki.net/kcms/detail/13.1212.TM.20230518.1144.002.html. LI Yonggang，PAN Jianming，LIU Qiyu，et al.Harmonic responsibility division method based on hausdorff distance and improved density peaks clustering[J/OL].Journal of North China Electric Power University,1-12.[2023-10-21].http://kns.cnki.net/kcms/detail/13.1212.TM.20230518.1144.002.html.
    [19] 刘洋.高速铁路牵引负荷谐波分布特性与概率模型研究[D].成都:西南交通大学,2017. LIU Yang.Study on harmonic distribution characteristics and probability model of traction load of high-speed railway[D].Chengdu:Southwest Jiaotong University,2017.
    [20] 冯跃,钱永亮,唐明淑,等.基于核密度估计的谐波分布特征表述方法[J].云南电力技术,2023,51(6):28-30. FENG Yue,QIAN Yongliang,TANG Mingshu,et al.Harmonic distribution characteristic representation method based on kernel density estimation[J].Yunnan Electric Power,2023,51(6):28-30.
    [21] 徐永海,薛超凡,陶顺,等.电力系统谐波潮流计算方法综述[J].电测与仪表,2023,60(12):1-10. XU Yonghai,XUE Chaofan,TAO Shun,et al.Review on harmonic power flow calculation method for power system[J].Electrical Measurement & Instrumentation,2023,60(12):1-10.
    [22] 华回春,刘哲,韩博,等.谐波责任统计特征计算方法[J].中国电机工程学报,2016,36(11):2959-2965. HUA Huichun,LIU Zhe,HAN Bo,et al.Calculation method for the harmonic contribution statistical characteristics[J].Proceedings of the CSEE,2016,36(11):2959-2965.
    [23] 陈立,申双葵,苏小平,等.电网谐波状态估计量测点的优化配置方法[J].电力科学与技术学报,2017,32(1):49-54. CHEN Li,SHEN Shuangkui,SU Xiaoping,et al.Optimal configuration method of harmonics estimation metering in power grid[J].Journal of Electric Power Science and Technology,2017,32(1):49-54.
    [24] 黄俊滔,杨苓.基于粒子群算法的光储微电网谐波电流抑制参数组寻优策略[J].智慧电力,2023,51(7):44-50. HUANG Juntao,YANG Ling.Parameter group optimization strategy to suppress harmonic current of PV-storage microgrid based on PSO algorithm[J].Smart Power,2023,51(7):44-50.
    [25] GAO Z,SUN Z C,LIANG S X.Probability density function for wave elevation based on Gaussian mixture models[J].Ocean Engineering,2020,213:107815.
    [26] 杨秀,李安,孙改平,等.基于改进GMM-CNN-GRU混合的非侵入式负荷监测方法研究[J].电力系统保护与控制,2022,50(14):65-75. YANG Xiu,LI An,SUN Gaiping,et al.Non-invasive load monitoring based on an improved GMM-CNN-GRU combination[J].Power System Protection and Control,2022,50(14):65-75.
    [27] 吴浩天,孙荣富,廖思阳,等.基于改进气象聚类分型的短期风电功率概率预测方法[J].电力系统自动化,2022,46(15):56-65. WU Haotian,SUN Rongfu,LIAO Siyang,et al.Short-term wind power probability forecasting method based on improved meteorological clustering and classification[J].Automation of Electric Power Systems,2022,46(15):56-65.
    [28] 马智远,崔晓飞,黄裕春,等.辨识谐波电流监测数据中异常数据的一种方法研究[J].电力系统保护与控制,2016,44(21):96-102. MA Zhiyuan,CUI Xiaofei,HUANG Yuchun,et al.A detection method of abnormal harmonic current monitoring data[J].Power System Protection and Control,2016,44(21):96-102.
    [29] 陈泽雄,张新民,王雪锋,等.分布式光伏电站接入配电网的分布鲁棒优化配置方法[J].电力系统保护与控制,2021,49(13):30-42. CHEN Zexiong,ZHANG Xinmin,WANG Xuefeng,et al.A distributionally robust optimal allocation method for distributed photovoltaic generation stations integrated into a distribution network[J].Power System Protection and Control,2021,49(13):30-42.
    [30] 仲泽天,李梦月,王加澍,等.一种有源配电网分布式光伏消纳能力评估方法[J].电网与清洁能源,2023,39(2):60-68. ZHONG Zetian,LI Mengyue,WANG Jiashu,et al.An assessment method for distributed photovoltaic absorption capacity of active distribution networks[J].Power System and Clean Energy,2023,39(2):60-68.
    [31] 岳国华,杜志叶,蔡泓威,等.基于风速概率分布与风切变指数的直流输电线路离子流场数值模拟方法[J].电工技术学报,2024,39(9):2907-2915. YUE Guohua,DU Zhiye,CAI Hongwei,et al.Numerical simulation method of ion flow field in DC transmission line based on wind speed probability distribution and wind shear exponent[J].Transactions of China Electrotechnical Society,2024,39(9):2907-2915.
    Related
    Cited by
    Comments
    Comments
    分享到微博
    Submit
Get Citation

曹兴华,咸日常,杨浩瀚,宋书麟,陈小娣.基于高斯混合模型的谐波责任估计方法[J].电力科学与技术学报英文版,2024,39(5):83-90. CAO Xinghua, XIAN Richang, YANG Haohan, SONG Shulin, CHEN Xiaodi. Harmonic responsibility estimation method based on gaussian mixture model[J]. Journal of Electric Power Science and Technology,2024,39(5):83-90.

Copy
Share
Article Metrics
  • Abstract:103
  • PDF: 357
  • HTML: 0
  • Cited by: 0
History
  • Online: December 02,2024
Article QR Code

微信公众号二维码

今日访问 228

您是本站第 16846 访问者

通信地址：

电话/传真： E-mail：

版权所有：Journal of Electric Power Science and Technology ® 2025 All Rights Reserved

京公网安备 11010802026262号