基于最小幅值搜索的电压暂降监测点优化配置
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摘要
为实现全网任意位置电压暂降可观测,提出一种基于最小幅值搜索的电压暂降监测点优化配置方法。首先根据电压暂降幅值解析式,利用黄金分割法搜索故障位置在各线路变化时节点的最小暂降幅值;进而根据电压阈值确立可观测域,构建出计及各种短路故障情形的最恶劣可观测矩阵。最后以系统内监测点数目最少为目标,全网任意位置电压暂降可观测为约束,建立电压暂降监测点优化配置模型。在构造电压暂降可观测矩阵的计算中,考虑了系统最恶劣电压暂降情形,避免了监测盲区。并且通过对IEEE 30节点系统的仿真计算证明了该方法的有效性。
In order to realize the observation of voltage sag at any position in power system,an optimal allocation method of voltage sag monitoring nodes based on the minimum magnitude search is proposed. Firstly,according to the analytic formula of voltage sag,the minimum node voltage magnitude when the fault location changes in each line is searched by golden section method. Based on the voltage threshold,the monitor reach area and the worst observable matrix are constructed under different fault types. Finally,with the constraint of fully observable voltage sag at any position,the optimal allocation model is established to minimize the voltage sag monitoring nodes. When constructing the voltage sag observable matrix,the worst scenario of voltage sag is considered to avoid monitoring blind area. The accuracy and effectiveness of proposed method are verified based on IEEE 30-bus system.
In order to realize the observation of voltage sag at any position in power system,an optimal allocation method of voltage sag monitoring nodes based on the minimum magnitude search is proposed. Firstly,according to the analytic formula of voltage sag,the minimum node voltage magnitude when the fault location changes in each line is searched by golden section method. Based on the voltage threshold,the monitor reach area and the worst observable matrix are constructed under different fault types. Finally,with the constraint of fully observable voltage sag at any position,the optimal allocation model is established to minimize the voltage sag monitoring nodes. When constructing the voltage sag observable matrix,the worst scenario of voltage sag is considered to avoid monitoring blind area. The accuracy and effectiveness of proposed method are verified based on IEEE 30-bus system.
引文
[1]肖湘宁.电能质量分析与控制[M].北京:中国电力出版社,2010.XIAO Xiangning. Power quality analysis and control[M]. Beijing:China Electric Power Press,2010.
[2]张军,浦天宇.多层次电压暂降评价方法研究[J].电力工程技术,2018,37(6):49-54.ZHANG Jun,PU Tianyu. Multi-level evaluation method of voltage sag[J]. Electric Power Engineering Technology,2018,37(6):49-54.
[3]张宸宇,史明明,范忠,等.电压暂降事件分类及短路类型识别研究[J].电力工程技术,2018,37(2):102-107.ZHANG Chenyu,SHI Mingming,FAN Zhong,et al. Research on voltage sag event classification and short circuit type identification[J]. Electric Power Engineering Technology,2018,37(2):102-107.
[4]赵芳,杜兆斌.敏感负荷对含新能源配网规划的影响[J].电力工程技术,2018,37(5):56-62.ZHAO Fang,DU Zhaobin. Impact analysis of voltage sensitive load on planning of distribution network with new energy[J]. Electric Power Engineering Technology,2018,37(5):56-62.
[5]杨晓东,李庚银,周明,等.电压暂降随机预估的自适应信赖域方法[J].中国电机工程学报,2011,31(4):39-44.YANG Xiaodong,LI Gengyin,ZHOU Ming,et al. Adaptive trust region method for stochastic estimation of voltage sags[J].Proceedings of the CSEE,2011,31(4):39-44.
[6]邱玉涛,肖先勇,熊茜,等.基于临界阻抗和广度优先-条件搜索的暂降监测装置优化配置[J].电力自动化设备,2014,34(10):138-143.QIU Yutao,XIAO Xianyong,XIONG Qian,et al. Optimal sag monitor placement based on critical impedance and breadth first-condition search[J]. Electric Power Automation Equipment,2014,34(10):138-143.
[7]吕伟,田立军.基于凹陷域分析的电压暂降监测点优化配置[J].电力自动化设备,2012,32(6):45-50.LYU Wei,TIAN Lijun. Optimal allocation of voltage sag monitoring based on exposed area analysis[J]. Electric Power Automation Equipment,2012,32(6):45-50.
[8]周超,田立军.基于粒子群优化算法的电压暂降监测点优化配置[J].电工技术学报,2014,29(4):181-187.ZHOU Chao,TIAN Lijun. An optimum allocation method of voltage sag monitoring nodes based on particles swarm optimization algorithm[J]. Transactions of China Electrotechnical Society,2014,29(4):181-187.
[9] ALMEIDA C,KAGAN N. Using genetic algorithms and fuzzy programming to monitor voltage sags and swells[J]. IEEE Intelligent Systems,2011,26(2):46-53.
[10]唐亚迪,徐永海,洪旺松.基于模糊控制模型的电压暂降监测装置优化配置[J].电力自动化设备,2015,35(8):65-71.TANG Yadi,XU Yonghai,HONG Wangsong. Allocation optimization based on fuzzy control model for voltage-sag monitors[J]. Electric Power Automation Equipment,2015,35(8):65-71.
[11]林芳,肖先勇,张逸,等.基于暂降信息的监测装置优化配置与系统电压暂降水平评估[J].电力自动化设备,2016,36(5):67-73.LIN Fang, XIAO Xianyong, ZHANG Yi, et al. Optimal monitor allocation and system sag level assessment based on sag information[J]. Electric Power Automation Equipment,2016,36(5):67-73.
[12]ESPINOSAJUAREZ E,HERNANDEZ A,OLGUIN G. An approach based on analytical expressions for optimal location of voltage sags monitors[J]. IEEE Transactions on Power Delivery,2009,24(4):2034-2042.
[13]王东旭,乐健,刘开培,等.基于线路分段法的电压跌落监测网络优化布点策略[J].电工技术学报,2011,26(10):31-38.WANG Dongxu,LE Jian,LIU Kaipei,et al. Optimal location strategy of voltage dip monitoring network based on line sectionalizing method[J]. Transactions of China Electrotechnical Society,2011,26(10):31-38.
[14]刘景远,刘卫明,李袖,等.一种电压暂降监测装置优化配置的方法[J].电测与仪表,2014,51(11):120-124.LIU Jingyuan,LIU Weiming,LI Xiu,et al. A method of optimal configuration for voltage sag monitoring devices[J]. Electrical Measurement&Instrumentation, 2014, 51(11):120-124.
[15]PARK C H,JANG G. Stochastic estimation of voltage sags in a large meshed network[J]. IEEE Transactions on Power Delivery,2007,22(3):1655-1664.
[16]PARK C H,JANG G. Systematic method to identify an area of vulnerability to voltage sags[J]. IEEE Transactions on Power Delivery,2016,32(2):1583-1591.
[17]王东旭,乐健,刘开培,等.基于虚拟节点的复杂电网电压跌落随机评估方法[J].电工技术学报,2011,26(8):190-197.WANG Dongxu,LE Jian,LIU Kaipei,et al. Stochastic assessment method of voltage dip in complex power grid based on virtual bus[J]. Electric Power Engineering Technology,2011,26(8):190-197.
[18]赵晨雪,陶顺,肖湘宁.考虑电压暂降传播的监测点优化配置改进方法[J].现代电力,2016,33(3):82-87.ZHAO Chenxue,TAO Shun,XIAO Xiangning. An improved monitoring allocation method by considering the propagation of voltage sag[J]. Modern Electric Power,2016,33(3):82-87.
[19]唐琳,肖先勇,张逸,等.电压暂降状态和水平评估模式匹配法与监测装置多目标优化配置[J].中国电机工程学报,2015,35(13):3264-3271.TANG Lin,XIAO Xianyong,ZHANG Yi,et al. Voltage sag state and level assessment based on pattern matching method and multi-objective optimal monitors allocation[J]. Proceedings of the CSEE,2015,35(13):3264-3271.
[2]张军,浦天宇.多层次电压暂降评价方法研究[J].电力工程技术,2018,37(6):49-54.ZHANG Jun,PU Tianyu. Multi-level evaluation method of voltage sag[J]. Electric Power Engineering Technology,2018,37(6):49-54.
[3]张宸宇,史明明,范忠,等.电压暂降事件分类及短路类型识别研究[J].电力工程技术,2018,37(2):102-107.ZHANG Chenyu,SHI Mingming,FAN Zhong,et al. Research on voltage sag event classification and short circuit type identification[J]. Electric Power Engineering Technology,2018,37(2):102-107.
[4]赵芳,杜兆斌.敏感负荷对含新能源配网规划的影响[J].电力工程技术,2018,37(5):56-62.ZHAO Fang,DU Zhaobin. Impact analysis of voltage sensitive load on planning of distribution network with new energy[J]. Electric Power Engineering Technology,2018,37(5):56-62.
[5]杨晓东,李庚银,周明,等.电压暂降随机预估的自适应信赖域方法[J].中国电机工程学报,2011,31(4):39-44.YANG Xiaodong,LI Gengyin,ZHOU Ming,et al. Adaptive trust region method for stochastic estimation of voltage sags[J].Proceedings of the CSEE,2011,31(4):39-44.
[6]邱玉涛,肖先勇,熊茜,等.基于临界阻抗和广度优先-条件搜索的暂降监测装置优化配置[J].电力自动化设备,2014,34(10):138-143.QIU Yutao,XIAO Xianyong,XIONG Qian,et al. Optimal sag monitor placement based on critical impedance and breadth first-condition search[J]. Electric Power Automation Equipment,2014,34(10):138-143.
[7]吕伟,田立军.基于凹陷域分析的电压暂降监测点优化配置[J].电力自动化设备,2012,32(6):45-50.LYU Wei,TIAN Lijun. Optimal allocation of voltage sag monitoring based on exposed area analysis[J]. Electric Power Automation Equipment,2012,32(6):45-50.
[8]周超,田立军.基于粒子群优化算法的电压暂降监测点优化配置[J].电工技术学报,2014,29(4):181-187.ZHOU Chao,TIAN Lijun. An optimum allocation method of voltage sag monitoring nodes based on particles swarm optimization algorithm[J]. Transactions of China Electrotechnical Society,2014,29(4):181-187.
[9] ALMEIDA C,KAGAN N. Using genetic algorithms and fuzzy programming to monitor voltage sags and swells[J]. IEEE Intelligent Systems,2011,26(2):46-53.
[10]唐亚迪,徐永海,洪旺松.基于模糊控制模型的电压暂降监测装置优化配置[J].电力自动化设备,2015,35(8):65-71.TANG Yadi,XU Yonghai,HONG Wangsong. Allocation optimization based on fuzzy control model for voltage-sag monitors[J]. Electric Power Automation Equipment,2015,35(8):65-71.
[11]林芳,肖先勇,张逸,等.基于暂降信息的监测装置优化配置与系统电压暂降水平评估[J].电力自动化设备,2016,36(5):67-73.LIN Fang, XIAO Xianyong, ZHANG Yi, et al. Optimal monitor allocation and system sag level assessment based on sag information[J]. Electric Power Automation Equipment,2016,36(5):67-73.
[12]ESPINOSAJUAREZ E,HERNANDEZ A,OLGUIN G. An approach based on analytical expressions for optimal location of voltage sags monitors[J]. IEEE Transactions on Power Delivery,2009,24(4):2034-2042.
[13]王东旭,乐健,刘开培,等.基于线路分段法的电压跌落监测网络优化布点策略[J].电工技术学报,2011,26(10):31-38.WANG Dongxu,LE Jian,LIU Kaipei,et al. Optimal location strategy of voltage dip monitoring network based on line sectionalizing method[J]. Transactions of China Electrotechnical Society,2011,26(10):31-38.
[14]刘景远,刘卫明,李袖,等.一种电压暂降监测装置优化配置的方法[J].电测与仪表,2014,51(11):120-124.LIU Jingyuan,LIU Weiming,LI Xiu,et al. A method of optimal configuration for voltage sag monitoring devices[J]. Electrical Measurement&Instrumentation, 2014, 51(11):120-124.
[15]PARK C H,JANG G. Stochastic estimation of voltage sags in a large meshed network[J]. IEEE Transactions on Power Delivery,2007,22(3):1655-1664.
[16]PARK C H,JANG G. Systematic method to identify an area of vulnerability to voltage sags[J]. IEEE Transactions on Power Delivery,2016,32(2):1583-1591.
[17]王东旭,乐健,刘开培,等.基于虚拟节点的复杂电网电压跌落随机评估方法[J].电工技术学报,2011,26(8):190-197.WANG Dongxu,LE Jian,LIU Kaipei,et al. Stochastic assessment method of voltage dip in complex power grid based on virtual bus[J]. Electric Power Engineering Technology,2011,26(8):190-197.
[18]赵晨雪,陶顺,肖湘宁.考虑电压暂降传播的监测点优化配置改进方法[J].现代电力,2016,33(3):82-87.ZHAO Chenxue,TAO Shun,XIAO Xiangning. An improved monitoring allocation method by considering the propagation of voltage sag[J]. Modern Electric Power,2016,33(3):82-87.
[19]唐琳,肖先勇,张逸,等.电压暂降状态和水平评估模式匹配法与监测装置多目标优化配置[J].中国电机工程学报,2015,35(13):3264-3271.TANG Lin,XIAO Xianyong,ZHANG Yi,et al. Voltage sag state and level assessment based on pattern matching method and multi-objective optimal monitors allocation[J]. Proceedings of the CSEE,2015,35(13):3264-3271.