基于轨迹特征根的系统暂态稳定判断与扰动类型筛选方法
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摘要
为了解决系统暂态稳定性判断的准确性以及扰动类型筛选的快速性问题,提出了一种基于轨迹特征根数据的暂态稳定性筛选方法。该方法建立了高阶系统的线性化模型,该模型考虑励磁和调速系统等主要元件对线性化模型的影响。励磁系统和调速系统模型利用拉普拉斯逆变换实现在非平衡点处的线性化处理。接着,提出一种基于扰动后轨迹特征根波动方差的扰动类型识别方法,该方法引用方差对扰动后的轨迹特征根数据计算振荡和离散程度,并以此量化指标,根据波动方差值识别扰动类型。最后通过算例,验证了文中设置的扰动类型与识别的结果基本一致。
To solve accuracy problem for determining transient stability and quickness of disturbance type screening, this paper proposes a method to judge system transient stability based on trajectory eigenvalue data. Firstly, the linearization model of the higher-order system is established, and influence of main components, such as excitation system and speed governing system, in the linearization model is considered. A linearized processing method about the excitation system and speed governing system models at non-equilibrium point is realized with Laplace inverse transform. A method to distinguish disturbance method based on variance of the trajectory eigenvalues after disturbance is also presented. The method computes quantitatively oscillation and dispersion degree according to trajectory eigenvalue data after disturbance using fluctuating variance. Then, using this quantitative index, the disturbance type is identified with magnitude of fluctuating variance. Finally, consistency between the disturbance type and identification results and correctness are validated with a simulation case.
To solve accuracy problem for determining transient stability and quickness of disturbance type screening, this paper proposes a method to judge system transient stability based on trajectory eigenvalue data. Firstly, the linearization model of the higher-order system is established, and influence of main components, such as excitation system and speed governing system, in the linearization model is considered. A linearized processing method about the excitation system and speed governing system models at non-equilibrium point is realized with Laplace inverse transform. A method to distinguish disturbance method based on variance of the trajectory eigenvalues after disturbance is also presented. The method computes quantitatively oscillation and dispersion degree according to trajectory eigenvalue data after disturbance using fluctuating variance. Then, using this quantitative index, the disturbance type is identified with magnitude of fluctuating variance. Finally, consistency between the disturbance type and identification results and correctness are validated with a simulation case.
引文
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[21]倪敬敏,沈沉,谭伟,等.一种基于非平衡点处线性化的同调识别方法[J].电力系统自动化,2010,34(20):7-12.Ni Jingmin,Shen Chen,Tan Wei,et al.A coherence identifying method based on linearization at the non-equilibrium point[J].Automation of Electric Power Systems,2010,34(20):7-12(in Chinese).
[22]陈乾,沈沉,汤蕾.基于轨迹特征根的扰动冲击机理探索[J].电网技术,2014,38(9):2461-2465.Chen Qian,Shen Chen,Tang Lei.Study on the mechanism of disturbance impact on power system transient stability based on trajectory eigenvalues[J].Power System Technology,2014,38(9):2461-2465(in Chinese).
[23]谭伟,沈沉,刘锋,等.基于轨迹特征根的暂态稳定实用判据[J].电力系统自动化,2012,36(16):14-19.Tan Wei,Shen Chen,Liu Feng,et al.A practical criterion for trajectory eigenvalues based transient stability analysis[J].Automation of Electric Power Systems,2012,36(16):14-19(in Chinese).
[24]陆丹丹,杨飞燕,王建全.基于轨迹特征根的快速事故筛选方法[J].电力系统自动化,2013,37(5):38-43.Lu Dandan,Yang Feiyan,Wang Jianquan.A contingency screening method based on trajectory eigenvalues[J].Automation of Electric Power Systems,2013,37(5):38-43(in Chinese).
[25]倪以信,陈寿孙,张宝霖.动态电力系统的理论和分析[M].2版.北京:清华大学出版社,2005.
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[27]吴云亮,孙元章,徐箭,等.基于饱和控制理论的储能装置容量配置方法[J].中国电机工程学报,2011,31(22):32-39.Wu Yunliang,Sun Yuanzhang,Xu Jian,et al.Determination methodology for energy storage capacity based on saturation control theory[J].Proceedings of the CSEE,2011,31(22):32-39(in Chinese).
[2]汤涌,卜广全,易俊.印度“7.30”、“7.31”大停电事故分析及启示[J].中国电机工程学报,2012,32(25):167-174.Tang Yong,Bu Guangquan,Yi Jun.Analysis and lessons of the blackout in Indian power grid on July 30 and 31,2012[J].Proceedings of the CSEE,2012,32(25):167-174(in Chinese).
[3]Barabási A L,Albert R.Emergence of scaling in random networks[J].Science,1999,286(5439):509-512.
[4]Barabási A L,Albert R.Statistical mechanics of complex networks[J].Reviews of Modern Physics,2002,74(1):47-97.
[5]Albert R,Albert I,Nakarado G L.Structural vulnerability of the North American power Grid[J].Physical Review E,2004,69(2):025103.
[6]洪潮.电力系统暂态稳定计算的一种时间并行算法[J].电网技术,2003,27(4):31-35.Hong Chao.A parallel-in-tune algorithm for analysis of power system transient stability[J].Power System Technology,2003,27(4):31-35(in Chinese).
[7]王守相,张伯明,刘映尚.事故临界切除时区计算及其在事故扫描中的应用[J].电网技术,2003,27(10):72-77.Wang Shouxiang,Zhang Boming,Liu Yingshang.CCT interval calculation and its application in contingency screening[J].Power System Technology,2003,27(10):72-77(in Chinese).
[8]傅书逷.势能界面法(PEBS)暂态稳定分析的综述及展望[J].电力系统自动化,1998,22(9):16-18.Fu Shuti.Summary and prospect of transient stability analysis using PEBS method[J].Automation of Electric Power Systems,1998,22(9):16-18(in Chinese).
[9]王宗义,郭志忠.基于PEBS法的暂态能量裕度灵敏度快速计算[J].继电器,2006,34(2):24-28.Wang Zongyi,Guo Zhizhong.A fast method for sensitivity analysis of transient energy margin based on PEBS method[J].Relay,2006,34(2):24-28(in Chinese).
[10]刘明志,房大中,宋文南.电力系统暂态稳定混合分析法的研究[J].电力系统及其自动化学报,1999,11(2):7-12.Liu Mingzhi,Fang Dazhong,Song Wennan,et al.Improved hybrid method for transient stability assessment of power system[J].Proceedings of the CSU-EPSA,1999,11(2):7-12(in Chinese).
[11]傅书逷,倪以信,薛禹胜.直接法稳定分析[M].北京:中国电力出版社,1999.
[12]刘笙,汪静.电力系统暂态稳定的能量函数分析[M].上海:上海交通大学出版社,1996.
[13]Ernst D,Ruiz-Vega D,Pavella M,et al.A unified approach to transient stability contingency filtering,ranking and assessment[J].IEEE Transactions on Power Systems,2001,16(3):435-443.
[14]Ferreira C M M,Pinto J A D,Barbosa F P M.On-line security of an electric power system using a transient stability contingency screening and ranking technique[C]//IEEE Mediterranean Electrotechnical Conference.Cairo,Egypt,2002:331-335.
[15]Fu C,Bose A.Contingency ranking based on severity indices in dynamic security analysis[J].IEEE Transactions on Power Systems,1999,14(3):980-985.
[16]Chiang H D,Wang C S,Li H.Development of BCU classifiers for on-line dynamic contingency screening of electric power systems[J].IEEE Transactions on Power Systems,1999,14(2):660-666.
[17]吕志来,张保会,哈恒旭.模糊子集和Taylor级数相结合的快速事故筛选方法[J].电力系统自动化,2000,24(22):16-20.Lv Zhilai,Zhang Baohui,Ha Hengxu.Integration of fuzzy set theory and Taylor series expansions for contingency screening of transient stability assessment[J].Automation of Electric Power Systems,2000,24(22):16-20(in Chinese).
[18]王天施,苑舜.一种在线动态安全分析事故扫描的综合性能指标法[J].电力系统保护与控制,2009,37(21):11-14,76.Wang Tianshi,Yuan Shun.An integrated performance index method of contingency screening in on-line dynamic security assessment[J].Power System Protection and Control,2009,37(21):11-14,76(in Chinese).
[19]王守相,张伯明,郭琦.在线动态安全评估中事故扫描的综合性能指标法[J].电网技术,2005,29(1):60-64.Wang Shouxiang,Zhang Boming,Guo Qi.Integrated performance index method of contingency screening in online dynamic security assessment[J].Power System Technology,2005,29(1):60-64(in Chinese).
[20]Swarup K S,Sudhakar G.Neural network approach to contingency screening and ranking in power systems[J].Neurocomputing,2006,70(1/3):105-118.
[21]倪敬敏,沈沉,谭伟,等.一种基于非平衡点处线性化的同调识别方法[J].电力系统自动化,2010,34(20):7-12.Ni Jingmin,Shen Chen,Tan Wei,et al.A coherence identifying method based on linearization at the non-equilibrium point[J].Automation of Electric Power Systems,2010,34(20):7-12(in Chinese).
[22]陈乾,沈沉,汤蕾.基于轨迹特征根的扰动冲击机理探索[J].电网技术,2014,38(9):2461-2465.Chen Qian,Shen Chen,Tang Lei.Study on the mechanism of disturbance impact on power system transient stability based on trajectory eigenvalues[J].Power System Technology,2014,38(9):2461-2465(in Chinese).
[23]谭伟,沈沉,刘锋,等.基于轨迹特征根的暂态稳定实用判据[J].电力系统自动化,2012,36(16):14-19.Tan Wei,Shen Chen,Liu Feng,et al.A practical criterion for trajectory eigenvalues based transient stability analysis[J].Automation of Electric Power Systems,2012,36(16):14-19(in Chinese).
[24]陆丹丹,杨飞燕,王建全.基于轨迹特征根的快速事故筛选方法[J].电力系统自动化,2013,37(5):38-43.Lu Dandan,Yang Feiyan,Wang Jianquan.A contingency screening method based on trajectory eigenvalues[J].Automation of Electric Power Systems,2013,37(5):38-43(in Chinese).
[25]倪以信,陈寿孙,张宝霖.动态电力系统的理论和分析[M].2版.北京:清华大学出版社,2005.
[26]PTI Inc.Program operation manual VolumeⅡ[M].Siemens Power Transmission&Distribution Inc,2007:H30.
[27]吴云亮,孙元章,徐箭,等.基于饱和控制理论的储能装置容量配置方法[J].中国电机工程学报,2011,31(22):32-39.Wu Yunliang,Sun Yuanzhang,Xu Jian,et al.Determination methodology for energy storage capacity based on saturation control theory[J].Proceedings of the CSEE,2011,31(22):32-39(in Chinese).