一种基于投影积分算法的微电网稳定性仿真方法  

A Novel Stability Simulation Algorithm of Microgrids Based on Projective Integration Method

作　　者：李鹏[1] 原凯[1] 王成山[1] 黄小耘[2] 黄红远[2] 

机构地区：[1]天津大学智能电网教育部重点实验室,天津300072 [2]广东电网公司佛山供电局,佛山528000

出　　处：《电工技术学报》2014年第2期93-101,共9页Transactions of China Electrotechnical Society

基　　金：国家高技术研究发展计划(863计划)(2011AA05A114)资助项目

摘　　要：微电网中形式各异的分布式电源使其在动态响应上体现为多时间尺度特征,其稳定性仿真算法在数值稳定性和计算效率方面需要满足更高的要求。本文提出一种基于投影积分算法的微电网稳定性仿真方法,每一个投影积分步由若干小步长积分步(内部积分器)和一个大步长积分步(外部积分器)组成,仿真步长及投影步长可根据系统快、慢动态响应的时间常数选取,可有效实现传统显式积分算法数值稳定性的提升,且为2阶精度算法。以一个低压微电网为例,通过与商业仿真软件的仿真结果进行比较,验证了算法的正确性和有效性。The increasing penetration of variety kinds of distributed generation （DG） results in the multiple time scale of the connected microgrid, which leads to a higher requirement on the numerical stability and calculation efficiency of the integration algorithms for microgrid stability simulation. This paper proposes an enhanced projective integration method for the stability simulation of microgrids. Each compound step of the method is combined with several small size steps （inner integrator） and a large one （outer integrator）, the step sizes of which are selected based on the time constants of the fast and slow dynamic behaviors. The proposed method is consistent of order 2 and greatly improves the numerical stability of traditional numerical integration algorithms. Finally, some case studies are performed based on a low voltage microgrid and the accuracy and effectiveness of the proposed projective method is shown through comparing with the commercial software for the stability simulation of power systems.

关 键 词：微电网 稳定性仿真 投影积分算法 微分-代数方程 MICROGRID (MG) differential-algebraic EQUATION (DAE) 

分 类 号：TM712[电气工程—电力系统及自动化]