基于泰勒级数等值方法的静态电压稳定分析
|
摘要
连续潮流法在计算电压稳定临界点时,存在着计算效率低且在电压稳定临界点附近潮流方程难以收敛的问题。如何确定更适用的步长以及找到更精确的电压稳定临界点是改善计算效率的主要研究内容。因此,本文提出基于泰勒级数等值方法的静态电压稳定分析。将戴维南等值方法推广到动态分析中,提出系统动态等值阻抗的概念,用动态分析方法证明了电力系统达到极大传输功率的临界条件。将解析复变系统的动态分析方法严格推广到非解析复变系统中,求出负荷点电压相量与电流相量关于电压模的泰勒展开式,从而求出电力系统的临界电压和极限功率。仿真结果表明,所提算法能快速准确求取系统的极限功率和临界电压。
When the critical point of voltage stability is calculated by continuous power flow algorithm,there are prob-lems such as computation inefficiency and the convergent difficulty of power flow equation approaching the critical pointof voltage stability.To optimize computation efficiency,the research mainly discusses how to determine the a moresuitable step length and work out a more accurate critical point of voltage stability. Therefore,the analysis of static volt-age stability based on the Taylor series equivalent method is put forward. Thevenin equivalent method is utilized in thedynamic analysis,and the concepts of system dynamic equivalent impedance of the system are put forward. The criticalcondition of reaching maximum transmission power of electronic system is verified by using the dynamic analysis meth-od. The dynamic analysis method of analytic-complex-system is strictly utilized in a non analytic-complex-system so thatthe load point voltage phasor and the current phasor according to Taylor extension equation of voltage mode are ob-tained. As a result,the limit power and the critical voltage can be calculated. Simulative results show that the men-tioned algorithm can calculate the system limit power and the critical voltage effectively and accurately.
When the critical point of voltage stability is calculated by continuous power flow algorithm,there are prob-lems such as computation inefficiency and the convergent difficulty of power flow equation approaching the critical pointof voltage stability.To optimize computation efficiency,the research mainly discusses how to determine the a moresuitable step length and work out a more accurate critical point of voltage stability. Therefore,the analysis of static volt-age stability based on the Taylor series equivalent method is put forward. Thevenin equivalent method is utilized in thedynamic analysis,and the concepts of system dynamic equivalent impedance of the system are put forward. The criticalcondition of reaching maximum transmission power of electronic system is verified by using the dynamic analysis meth-od. The dynamic analysis method of analytic-complex-system is strictly utilized in a non analytic-complex-system so thatthe load point voltage phasor and the current phasor according to Taylor extension equation of voltage mode are ob-tained. As a result,the limit power and the critical voltage can be calculated. Simulative results show that the men-tioned algorithm can calculate the system limit power and the critical voltage effectively and accurately.
引文
[1]何大愚(He Dayu).一年以后对美加“8.14”大停电事故的反思(Rethink over‘8.14’US-Canada blackout after one year)[J].电网技术(Power System Technology),2004,28(21):1-5.
[2]李铁,金世军,鲁顺,等(Li Tie,Jin Shijun,Lu Shun,et al).辽宁电网“3.4”事故处理过程及分析(Treatment process and analysis of blackout occurred in Liaoning power grid on March 4)[J].电网技术(Power System Technology),2007,31(11):38-41,58.
[3]和怡,朱小军,李登峰,等(He Yi,Zhu Xiaojun,Li Dengfeng,et al).基于模态分析和Relief算法的在线静态电压稳定特征选取方法(Feature selection method for on-line static voltage stability based on modal analysis and re-lief algorithm)[J].电力系统及其自动化学报(Proceed-ings of the CSU-EPSA),2017,29(7):87-92.
[4]汤涌,孙华东,易俊,等(Tang Yong,Sun Huadong,YiJun,et al).基于全微分的戴维南等值参数跟踪算法(Tracing algorithm for Thevenin equivalent parametersbased on complete differential equation)[J].中国电机工程学报(Proceedings of the CSEE),2009,29(13):48-53.
[5]张伯明,陈寿孙,严正.高等电力网络分析[M].北京:清华大学出版社,2007.
[6]祝达康,程浩忠(Zhu Dakang,Cheng Haozhong).求取电力系统PV曲线的改进连续潮流法(An improved contin-uation method in tracing PV curves of power systems)[J].电网技术(Power System Technology),1999,23(4):37-40,48.
[7]杜晓明,赵冬梅(Du Xiaoming,Zhao Dongmei).改进连续潮流法追踪PV曲线(An improved continuation powerflow tracing PV curve)[J].电网技术(Power System Tech-nology),2006,30(S):278-281.
[8]张尧,张建设,袁世强(Zhao Yao,Zhang Jianshe,YuanShiqiang).求取静态电压稳定极限的改进连续潮流法(Improved continuation power flow algorithm for obtain-ing the limit of static voltage stability)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2005,17(2):21-25.
[9]李卫星,牟晓明,李志民(Li Weixing,Mou Xiaoming,LiZhimin).电力系统戴维南等值参数的解析与思考(Analysis and thoughts on the Thevenin equivalent param-eters for power systems)[J].中国电机工程学报(Proceed-ings of the CSEE),2012,32(S):28-34.
[10]罗华伟,吴政球,戴庆华,等(Luo Huawei,Wu Zhengqiu,Dai Qinghua,et al).电网戴维南等值参数的快速计算(Fast computation of Thevenin equivalent parameters)[J].中国电机工程学报(Proceedings of the CSEE),2009,29(1):35-39.
[11]刘光晔,施海亮,杨以涵(Liu Guangye,Shi Hailiang,Yang Yihan).非解析复变电力系统电压稳定的动态分析方法(Comprehensive dynamic analysis method for pow-er system static voltage stability)[J].中国电机工程学报(Proceedings of the CSEE),2013,33(10):50-56.
[2]李铁,金世军,鲁顺,等(Li Tie,Jin Shijun,Lu Shun,et al).辽宁电网“3.4”事故处理过程及分析(Treatment process and analysis of blackout occurred in Liaoning power grid on March 4)[J].电网技术(Power System Technology),2007,31(11):38-41,58.
[3]和怡,朱小军,李登峰,等(He Yi,Zhu Xiaojun,Li Dengfeng,et al).基于模态分析和Relief算法的在线静态电压稳定特征选取方法(Feature selection method for on-line static voltage stability based on modal analysis and re-lief algorithm)[J].电力系统及其自动化学报(Proceed-ings of the CSU-EPSA),2017,29(7):87-92.
[4]汤涌,孙华东,易俊,等(Tang Yong,Sun Huadong,YiJun,et al).基于全微分的戴维南等值参数跟踪算法(Tracing algorithm for Thevenin equivalent parametersbased on complete differential equation)[J].中国电机工程学报(Proceedings of the CSEE),2009,29(13):48-53.
[5]张伯明,陈寿孙,严正.高等电力网络分析[M].北京:清华大学出版社,2007.
[6]祝达康,程浩忠(Zhu Dakang,Cheng Haozhong).求取电力系统PV曲线的改进连续潮流法(An improved contin-uation method in tracing PV curves of power systems)[J].电网技术(Power System Technology),1999,23(4):37-40,48.
[7]杜晓明,赵冬梅(Du Xiaoming,Zhao Dongmei).改进连续潮流法追踪PV曲线(An improved continuation powerflow tracing PV curve)[J].电网技术(Power System Tech-nology),2006,30(S):278-281.
[8]张尧,张建设,袁世强(Zhao Yao,Zhang Jianshe,YuanShiqiang).求取静态电压稳定极限的改进连续潮流法(Improved continuation power flow algorithm for obtain-ing the limit of static voltage stability)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2005,17(2):21-25.
[9]李卫星,牟晓明,李志民(Li Weixing,Mou Xiaoming,LiZhimin).电力系统戴维南等值参数的解析与思考(Analysis and thoughts on the Thevenin equivalent param-eters for power systems)[J].中国电机工程学报(Proceed-ings of the CSEE),2012,32(S):28-34.
[10]罗华伟,吴政球,戴庆华,等(Luo Huawei,Wu Zhengqiu,Dai Qinghua,et al).电网戴维南等值参数的快速计算(Fast computation of Thevenin equivalent parameters)[J].中国电机工程学报(Proceedings of the CSEE),2009,29(1):35-39.
[11]刘光晔,施海亮,杨以涵(Liu Guangye,Shi Hailiang,Yang Yihan).非解析复变电力系统电压稳定的动态分析方法(Comprehensive dynamic analysis method for pow-er system static voltage stability)[J].中国电机工程学报(Proceedings of the CSEE),2013,33(10):50-56.