中国电机工程学报2013,Vol.33Issue(16):16-22,前插3,8.
基于点估计和Gram-Charlier展开的含风电电力系统概率潮流实用算法
A Practical Algorithm Based on Point Estimate Method and Gram-Charlier Expansion for Probabilistic Load Flow Calculation of Power Systems Incorporating Wind Power
摘要
Abstract
Probabilistic load flow (PLF) calculation is the first step to evaluate the impact of the integrated wind power to the power system.The wind power is featured with stochastic and variable property.It is hard to fit its distribution characteristics to any common probability density function (PDF).At the same time,the relationship between the input and output variables of load flow calculation is nonlinear.In view of the two characteristics,a new practical algorithm based on point estimate method and Gram-Charlier expansion (PG algorithm) was proposed for PLF calculation of power system incorporatingwind power.Based only on the sample data of the wind power,the expectation,variance and cumulative distribution of the output variables can be estimated with PG algorithm by 2n+l times of load flow calculation where n is the number of input stochastic variables,exempting the need for distribution of the input variables.The digital simulation results of the IEEE 16-generator system show that the algorithm provides high precision with small computation.The algorithm can also be applied to solve other problems with uncertainty factors whose distribution is unknown in power systems.关键词
概率潮流/风电功率/概率密度函数/点估计/Gram-Charlier展开/累积分布Key words
probabilistic load flow (PLF)/ wind power/probability density function (PDF)/ point estimate/ Gram-Charlier expansion/ cumulative distribution分类
信息技术与安全科学引用本文复制引用
艾小猛,文劲宇,吴桐,孙树敏,李广磊..基于点估计和Gram-Charlier展开的含风电电力系统概率潮流实用算法[J].中国电机工程学报,2013,33(16):16-22,前插3,8.基金项目
国家电网公司大电网重大专项资助项目课题(SGCC-MPLG026-2012) (SGCC-MPLG026-2012)
国家高技术研究发展863计划项目(2011AA05A112) (2011AA05A112)
国家自然科学基金重点项目(50937002) (50937002)
Project supported by State Grid Corporation of China,Major Projects on Planning and Operation Control of Large Scale Grid (SGCC-MPLG026-2012) (SGCC-MPLG026-2012)
National High Technology Research and Development Program of China (863 Program) (2011AA05A112) (863 Program)
Key Program of National Natural Science Foundation of China (50937002). (50937002)