| 引用本文: | 刘小团,赵晋泉,罗卫华,赵军.基于TPNT和半不变量法的考虑输入量相关性概率潮流算法[J].电力系统保护与控制,2013,41(22):13-18.[点击复制] |
| LIU Xiao-tuan,ZHAO Jin-quan,LUO Wei-hua,ZHAO Jun.A TPNT and cumulants based probabilistic load flow approach considering the correlation variables[J].Power System Protection and Control,2013,41(22):13-18[点击复制] |
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| 摘要: |
| 电力系统的不同输入量之间具有相关性，会影响概率潮流计算的准确性。提出基于三阶多项式正态变换方法处理随机变量相关性，结合半不变量与Gram-Charlier级数展开的概率潮流算法。该方法能够将相关非正态的多维随机变量变换到正态不相关的变量空间，得到相关系数矩阵处理相关输入量，然后进行概率潮流计算，得到节点状态变量和支路潮流功率的潮流计算结果和概率分布曲线。对含多个风速分布相关风电场的IEEE14节点系统进行分析计算，结果验证了该方法的有效性和准确性。 |
| 关键词: 风电并网 概率潮流 三阶多项式正态变换 半不变量 Gram-Charlier级数展开 输入量相关性 |
| DOI：10.7667/j.issn.1674-3415.2013.22.003 |
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| 基金项目:国家高技术研究发展计划项目（863计划）（2011AA05112）；国家自然科学基金项目(51077042)；高等学校博士学科点专项科研基金(20120094110008)；清华大学“电力系统及发电设备控制与仿真”国家重点实验室开放课题(SKLD11KZ02) |
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| A TPNT and cumulants based probabilistic load flow approach considering the correlation variables |
| LIU Xiao-tuan1,ZHAO Jin-quan1,LUO Wei-hua2,ZHAO Jun2 |
| () |
| Abstract: |
| The correlation among input variables in power system affects the accuracy of probabilistic load flow (PLF) calculation. A PLF algorithm is proposed based on third-order polynomial normal transformation (TPNT) combining cumulants and Gram-Charlier expansion. The method that transforms a multivariate non-normal dependent random variables group into a multivariate standard normal independent one is used to calculate input variables and power flow based on correlation coefficient matrix and draw cumulative distribution curves of node status variables and load flow. The simulation results of the IEEE14-bus system with several correlative wind farms show that the proposed method is effective and accurate. |
| Key words: wind power integration probabilistic load flow third-order polynomial normal transformation cumulants Gram-Charlier expansion input variable correlation |
