A three-point estimate method for solving probabilistic power flow problems with correlated random variables

被引:0
作者
Yang, Huan [1 ]
Zou, Bin [1 ]
机构
[1] School of Mechatronics and Automation, Shanghai University
来源
Dianli Xitong Zidonghua/Automation of Electric Power Systems | 2012年 / 36卷 / 15期
关键词
Correlation; Probabilistic power flow; Third-order polynomial normal transformation (TPNT); Three-point estimation;
D O I
10.3969/j.issn.1000-1026.2012.15.009
中图分类号
学科分类号
摘要
The third-order polynomial normal transformation (TPNT) technique was employed to transform a multivariate non-normal dependent random variables group into a multivariate standard normal independent one. Sampling points were obtained in the standard normal independent variable space and transformed into multivariate non-normal dependent ones. Incorporating three-point estimate method with TPNT technique, a TPNT-based three-point estimate method is proposed to solve probabilistic power flow problems with non-normal dependent variables. A case study on a slightly modified IEEE 118-bus system shows that, the proposed method has high accuracy and computational efficiency. It is a qualified tool to discuss the probabilistic power flow problems with non-normal dependent variables.
引用
收藏
页码:51 / 56
页数:5
相关论文
共 17 条
  • [1] Usaola J., Probabilistic load flow with correlated wind power injections, Electric Power Systems Research, 80, 5, pp. 528-536, (2010)
  • [2] Bie Z., Liu H., Li G., Et al., Voltage fluctuation of a power system with wind farms integrated by probabilistic load flow, Journal of Xi'an Jiaotong University, 42, 12, pp. 1199-1206, (2008)
  • [3] Fan R., Chen J., Duan X., Et al., Impact of wind speed correlation on probabilistic load flow, Automation of Electric Power Systems, 35, 4, pp. 18-23, (2011)
  • [4] Allan R.N., da Silva A.M.L., Burchett R.C., Evaluation methods and accuracy in probabilistic load flow solutions, IEEE Trans on Power Apparatus and Systems, 100, 5, pp. 2539-2546, (1981)
  • [5] Allan R.N., Al-Shakarchi M.R.G., Probabilistic techniques in AC load flow analysis, Proceedings of the IEEE, 124, 2, pp. 154-160, (1977)
  • [6] Zhang P., Lee S.T., Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion, IEEE Trans on Power Systems, 19, 1, pp. 676-682, (2004)
  • [7] Dong L., Cheng W., Yang Y., Probabilistic load flow calculation for power grid containing wind farms, Power System Technology, 33, 16, pp. 87-91, (2009)
  • [8] Yu K., Cao Y., Chen X., Et al., Dynamic probabilistic power flow of district grid containing distributed generation, Proceedings of the CSEE, 31, 1, pp. 20-25, (2011)
  • [9] Morales J.M., Perez-Ruiz J., Point estimate schemes to solve the probabilistic power flow, IEEE Trans on Power Systems, 22, 4, pp. 1594-1601, (2007)
  • [10] Hong H.P., An efficient point estimate method for probabilistic analysis, Reliability Engineering and System Safety, 59, 3, pp. 261-267, (1998)