概率潮流分析中节点电流和PV节点无功功率的均值和协方差计算Expectations and Covariance Calculation of Nodal Current and Reactive Power at PV Nodes Based on Probabilistic Load Flow
胡金磊;张尧;郭力;谢惠藩;
摘要(Abstract):
传统的概率潮流分析通常基于节点功率和节点电压的概率分布特性,在此基础上形成了概率最优潮流、概率负荷分析、概率稳定等。文章以节点注入功率和PV节点电压运行曲线为基础,依据随机变量数字特征的基本性质和概率潮流计算的相关方程,分别采用不同的方法推导了节点电流、PV节点的无功功率及平衡节点功率的均值和协方差计算公式,比较和分析了各种算法的计算精度。理论分析和算例结果表明了这些算法的有效性,算法的精确性依赖于节点电压的均值和协方差的计算精度。
关键词(KeyWords): 概率潮流;数字特征;均值;协方差;电力系统
基金项目(Foundation): 国家自然科学基金资助项目(50337010)。~~
作者(Author): 胡金磊;张尧;郭力;谢惠藩;
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DOI:
参考文献(References):
- [1]Borkowska B.Probabilistic load flow[J].IEEE Trans on Power Apparatus and Systems,1974,93(3):752-755.
- [2]Allan R N,Al-shakarchi M R G.Probabilistic techniques in AC load flow analysis[J].Proceedings of the Institution of Electrical Engineers,1977,124(2):154-160.
- [3]黄进安,吴惟静.保留潮流方程非线性的电力系统概率潮流计算[J].电力系统自动化,1986,10(6):3-12.Huang Jin’an,Wu Weijing.Probabilistic load flow calculation including nonlinearity of equation[J].Automation of Electric Power Systems,1986,10(6):3-12(in Chinese).
- [4]张建芬,王克文,宗秀红,等.几种概率潮流模型的准确性比较分析[J].郑州大学学报(工学版),2003,24(4):32-36.Zhang Jianfen,Wang Kewen,Zong Xiuhong,et al.Comparison and analysis of several probabilistic load flow approaches[J].Journal of Zhengzhou University(Engineering Science),2003,24(4):32-36(in Chinese).
- [5]Su C L.Probabilistic load-flow computation using point estimate method[J].IEEE Trans on Power Systems,2005,20(4):1843-1851.
- [6]崔雅莉,别朝红,王锡凡.输电系统可用输电能力的概率模型及计算[J].电力系统自动化,2003,27(14):36-40.Cui Yali,Bie Zhaohong,Wang Xifan.Study on probabilistic modelsand algorithms of available transfer capability[J].Automation of Electric Power Systems,2003,27(14):36-40(in Chinese).
- [7]丘文千.抽水蓄能电站及其系统运行优化的概率模拟算法[J].电网技术,2006,30(15):95-100.Qiu Wenqian.Probabilistic simulation algorithm for pumped storage power station and system operational optimization[J].Power System Technology,2006,30(15):95-100(in Chinese).
- [8]丁明,李生虎,黄凯.基于蒙特卡罗模拟的概率潮流计算[J].电网技术,2001,25(11):10-22.Ding Ming,Li Shenghu,Huang Kai.Probabilistic load flow analysis based on Monte-Carlo simulation[J].Power System Technology,2001,25(11):10-22(in Chinese).
- [9]刘健,徐精求,董海鹏.配电网概率负荷分析及其应用[J].电网技术,2004,28(6):67-70.Liu Jian,Xu Jingqiu,Dong Haipeng.Probabilistic load flow analysis of distribution network and its application[J].Power System Technology,2004,28(6):67-70(in Chinese).
- [10]吴红斌,丁明,李生虎,等.发电机和负荷模型对暂态稳定性影响的概率分析[J].电网技术,2004,28(1):19-21.Wu Hongbin,Ding Ming,Li Shenghu,et al.Probabilistic analysis on influences of generator model and load model on transient stability[J].Power System Technology,2004,28(1):19-21(in Chinese).
- [11]戴剑锋,王海超,周双喜,等.基于负荷裕度随机特性的电压失稳概率问题研究[J].中国电机工程学报,2006,26(13):26-30.Dai Jianfeng,Wang Haichao,Zhou Shuangxi,et al.A study on probability of voltage instability based on the stochastic characteristic of load margin index[J].Proceedings of the CSEE,2006,26(13):26-30(in Chinese).
- [12]Chung C Y,Wang K W,Tse C T,et al.Probabilistic eigenvalue sensitivity analysis and PSS design in multimachine systems[J].IEEE Trans on Power Systems,2003,18(4):1439-1445.
- [13]Wang K W,Chung C Y,Tse C T,et al.Probabilistic eigenvalue sensitivity indices for robust PSS site selection[J].IEE Proceedings-Generation,Transmission and Distribution,2001,148(6):603-609.
- [14]Zhang Jianfen,Tse C T,Wang Kewen,et al.Studies of the computational error in the probabilistic eigenvalue analysis[C].Proceeding of DRPT,Hong Kong,China,2004,2:729-733.
- [15]Wang K W,Tse C T,Tsang K M.Algorithm for power system dynamic stability studies taking account of the variation of load power[J].Electric Power Systems Research,1998,46(3):221-227.
- [16]盛骤,谢式千,潘承毅.概率论与数理统计[M].北京:高等教育出版社,1989.