考虑源荷不确定性和相关性的关键线路辨识Critical Line Identification Considering Uncertainties in Source and Load and the Corresponding Correlation
王洪涛,邹斌
摘要(Abstract):
为解决高比例可再生能源接入电力系统后,现有的关键线路辨识方法难以考虑源荷不确定情况下的关键线路辨识的问题,提出了新的关键线路辨识方法。首先,以贝叶斯网络BN(Bayesian network)为基础,建立源荷概率模型。然后,以线路概率潮流介数为指标,利用概率最优潮流的计算结果,对电源-负荷节点对之间的功率传输进行顺流潮流追踪,计算每条线路的概率潮流介数,以概率潮流介数为指标辨识关键线路。最后,以IEEE39节点系统为算例,考虑源荷的不确定性和相关性,对关键线路进行辨识。仿真结果表明,所提方法较为全面地考虑了源荷不确定性和相关性,得到的关键线路集与参考标准的关键线路集相同,验证了所提方法的有效性。
关键词(KeyWords): 关键线路辨识;源荷不确定性;源荷相关性;概率潮流介数;贝叶斯网络
基金项目(Foundation): 福建省自然科学基金资助项目(2019J01845)
作者(Author): 王洪涛,邹斌
DOI: 10.19635/j.cnki.csu-epsa.000901
参考文献(References):
- [1]于群,郝晴晴(Yu Qun,Hao Qingqing).计及重合闸作用的大停电模型与停电风险分析(Blackout model and outage risk analysis considering reclosing)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2020,32(11):65-72.
- [2]张富超,谢成荣,沈立新,等(Zhang Fuchao,Xie Chengrong,Shen Lixin,et al).基于源流路径链和输电介数的电网关键线路辨识(Identification of power grid critical lines based on path chains and transmission betweenness)[J].电力系统保护与控制(Power System Protection and Control),2015,43(21):7-12.
- [3]徐林,王秀丽,王锡凡(Xu Lin,Wang Xiuli,Wang Xifan).电气介数及其在电力系统关键线路识别中的应用(Electric betweenness and its application in vulnerable line identification in power system)[J].中国电机工程学报(Proceedings of the CSEE),2010,30(1):33-39.
- [4]徐青山,王伟,刘建坤,等(Xu Qingshan,Wang Wei,Liu Jiankun,et al).计及灵敏度因子的加权电气介数在电网脆弱性线路识别中的应用(Application of weighted electric betweenness considering sensitivity factor in identification of vulnerable grid lines)[J].电力自动化设备(Electric Power Automation Equipment),2013,33(10):53-58.
- [5]刘文颖,梁才,徐鹏,等(Liu Wenying,Liang Cai,Xu Peng,et al).基于潮流介数的电力系统关键线路辨识(Identification of critical line in power systems based on flow betweenness)[J].中国电机工程学报(Proceedings of the CSEE),2013,33(31):90-98.
- [6]梁才,刘文颖,但扬清,等(Liang Cai,Liu Wenying,Dan Yangqing,et al).输电线路的潮流介数及其在关键线路识别中的应用(Flow betweenness of transmission lines and its application in critical line identification)[J].电力系统自动化(Automation of Electric Power Systems),2014,38(8):35-40.
- [7]郭小敏,黄俊,杨健维,等(Guo Xiaomin,Huang Jun,Yang Jianwei,et al).潮流介数理论在输电网断线风险评估中的应用(Application of power betweenness theory in assessment on line-breakage risk in transmission network)[J].电网技术(Power System Technology),2015,39(2):486-493.
- [8]王涛,高成彬,顾雪平,等(Wang Tao,Gao Chengbin,Gu Xueping,et al).基于功率介数的电网关键环节辨识(Power betweenness based identification of power grid critical link)[J].电网技术(Power System Technology),2014,38(7):1907-1913.
- [9]刘小丽,毛弋,梁杉,等(Liu Xiaoli,Mao Yi,Liang Shan,et al).基于综合介数的电网脆弱线路辨识(Identification of vulnerable lines in power grid based on comprehensive betweenness index)[J].电力系统保护与控制(Power System Protection and Control),2016,44(2):116-121.
- [10]曹煜,郭创新,章禹,等(Cao Yu,Guo Chuangxin,Zhang Yu,et al).计及无功潮流影响的传输介数概念及其电网关键线路辨识研究(Study of the concept of transmission betweenness considering the effect of reactive power flow and its application in identification of critical lines in power grid)[J].电力系统保护与控制(Power System Protection and Control),2017,45(23):9-16.
- [11]Bai Hao,Miao Shihong.Hybrid flow betweenness approach for identification of vulnerable line in power system[J].IET Generation,Transmission and Distribution,2015,9(12):1324-1331.
- [12]Zhu Darui,Wang Rui,Duan Jiandong,et al.Comprehensive weight method based on game theory for identify critical transmission lines in power system[J].International Journal of Electrical Power and Energy Systems,2021,124:106362.
- [13]侯庆春,杜尔顺,田旭,等(Hou Qingchun,Du Ershun,Tian Xu,et al).数据驱动的电力系统运行方式分析(Data-driven power system operation mode analysis)[J].中国电机工程学报(Proceedings of the CSEE),2021,41(1):1-12.
- [14]辛建波,杨程祥,舒展,等(Xin Jianbo,Yang Chengxiang,Shu Zhan,et al).基于静态安全域的交直流混联大电网关键线路辨识(Identification of critical lines in AC/DC hybrid large power grid based on steady-state security region)[J].电力系统保护与控制(Power System Protection and Control),2020,48(6):165-172.
- [15]Rocchetta R,Patelli E.Assessment of power grid vulnerabilities accounting for stochastic loads and model imprecision[J].International Journal of Electrical Power&Energy Systems,2018,98:219-232.
- [16]麻金碧,贾燕冰,李玉博(Ma Jinbi,Jia Yanbing,Li Yubo).基于概率潮流的电力系统关键线路辨识方法(Acritical line identification method based on probabilistic load flow)[J].计算机仿真(Computer Simulation),2019,36(8):96-102.
- [17]陶鸿飞,谢栋,赵福林,等(Tao Hongfei,Xie Dong,Zhao Fulin,et al).含大规模风电并网电力系统的关键线路综合辨识(Comprehensive identification of critical line in power systems with large-scale wind power integration)[J].电力系统保护与控制(Power System Protection and Control),2020,48(6):115-123.
- [18]Khuntia S R,Rueda J L,van der Meijden M A M M.Riskbased security assessment of transmission line overloading considering spatio-temporal dependence of load and wind power using vine copula[J].IET Renewable Power Generation,2019,13(10):1770-1779.
- [19]赵渊,刘庆尧,邝俊威,等(Zhao Yuan,Liu Qingyao,Kuang Junwei,et al).电网可靠性评估中相关性变量的非参数R藤Copula模型(A nonparametric regular vine Copula model for multidimensional dependent variables in power system reliability assessment)[J].中国电机工程学报(Proceedings of the CSEE),2020,40(3):803-811.
- [20]董雷,周文萍,张沛,等(Dong Lei,Zhou Wenping,Zhang Pei,et al).基于动态贝叶斯网络的光伏发电短期概率预测(Short-term photovoltaic output forecast based on dynamic Bayesian network theory)[J].中国电机工程学报(Proceedings of the CSEE),2013,33(S1):38-45.
- [21]金焱,胡云安,张瑾,等(Jin Yan,Hu Yun'an,Zhang Jin,et al).互信息与爬山法相结合的贝叶斯网络结构学习(Bayesian network structure learning combining mutual information with Hill Climbing algorithm)[J].计算机应用与软件(Computer Applications and Software),2012,29(9):122-125.
- [22]高晓光,叶思懋,邸若海,等(Gao Xiaoguang,Ye Simao,Di Ruohai,et al).基于融合先验方法的贝叶斯网络结构学习(Bayesian network structures learning based on approach using incoporate priors method)[J].系统工程与电子技术(Systems Engineering and Electronics),2018,40(4):790-796.
- [23]任佳,高晓光,茹伟(Ren Jia,Gao Xiaoguang,Ru Wei).数据缺失的小样本条件下BN参数学习(Parameters learning of BN in small sample on data missing)[J].系统工程理论与实践(Systems Engineering Theory&Practice),2011,31(1):172-177.
- [24]王洪涛,李晓刚,邹斌(Wang Hongtao,Li Xiaogang,Zou Bin).基于贝叶斯网络刻画风-光-荷相关性的配电网概率潮流计算(Probability power flow calculation of distribution network based on Bayesian network depicting windlight-charge correlation)[J].中国电机工程学报(Proceedings of the CSEE),2019,39(16):4753-4763.
- [25]Bialek J.Tracing the flow of electricity[J].IEE Proceedings:Generation,Transmission and Distribution,1996,143(4):313-320.
- [26]Cao Jia,Yan Zheng.Probabilistic optimal power flow considering dependences of wind speed among wind farms by pair-copula method[J].International Journal of Electrical Power and Energy Systems,2017,84:296-307.
- [27]吴巍,汪可友,李国杰,等(Wu Wei,Wang Keyou,Li Guojie,et al).基于Pair Copula的多维风电功率相关性分析及建模(Correlation analysis and modeling of multiple wind power based on Pair Copula)[J].电力系统自动化(Automation of Electric Power Systems),2015,39(16):37-42.
- [28]Pai M A.Energy Function Analysis for Power System Stability[M].Netherlands:Kluwer Academic Publishers,1989.--------