一种适于有源配电网随机动态仿真的滚动投影积分方法  

A Rolling Projective Integration Method for Stochastic Dynamic Simulation of Active Distribution Networks

作　　者：王成山[1] 原凯[1] 李鹏[1] 赵金利[1] 于浩[2] 魏文潇 吴建中[4] 

机构地区：[1]智能电网教育部重点实验室(天津大学),天津市南开区300072 [2]国网天津市电力公司检修公司,天津市河北区300230 [3]南方电网科学研究院,广东省广州市510080 [4]卡迪夫大学工程学院

出　　处：《中国电机工程学报》2017年第4期1096-1105,共10页Proceedings of the CSEE

基　　金：高等学校博士学科点专向科研基金资助项目(20120032130008);国家自然科学基金项目(51261130473;51577127);南方电网公司科技项目(KY2014-2-0024)~~

摘　　要：可再生能源的大量接入和先进用电技术的不断推广使有源配电系统的随机特性愈发显著,这种复杂的随机扰动会对系统的规划、运行和分析计算产生不可忽视的影响。因此,一种准确、高效并且考虑随机扰动影响的仿真方法对有源配电系统随机特性的分析研究至关重要。该文通过将确定性投影积分算法和混合随机数值积分算法相结合,同时融入滚动式多随机轨迹仿真思想,提出了一种同时考虑有源配电系统随机特性和多时间尺度特征的滚动投影积分仿真方法,并以低压有源配电系统算例为例,通过与确定性仿真和EulerMaruyama算法比较,验证了文中算法的正确性和有效性。The stochastic property of active distribution networks（ADNs） has been becoming more and more significant due to the integration of a large number of distributed generators（DGs） and the popularization of the advanced load control technologies. This randomness has brought non-negligible influences on the planning, operation and computation of ADNs. Therefore, an accurate and highly efficient simulation method considering the effects of stochastic disturbances is of great importance for the analysis of the stochastic property of ADNs. This paper proposed a rolling projective integration method（RPIM） considering the stochastic and multi-time scale property of ADNs at the same time. The proposed method combines the deterministic projective integration method and the mixed stochastic numerical integration algorithms. Meanwhile, a rolling approach designed for the multi-trajectory simulation was also presented to improve the statistical accuracy of the proposed RPIM. Case studies based on the low-voltage ADN benchmark show the feasibility and effectiveness of the proposed method, which is verified through the comparison with the deterministic simulation method and the Euler-Maruyama method.

关 键 词：随机微分方程 动态仿真 滚动投影积分方法 有源配电系统 强收敛性 弱收敛性 

分 类 号：TM74[电气工程—电力系统及自动化]