计及不确定性的电力系统时域仿真的区间算法  

Power System Time Domain Simulation Under Uncertainty Based on Interval Method

作　　者：王守相[1] 郑志杰[1] 王成山[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津市南开区300072

出　　处：《中国电机工程学报》2007年第7期40-44,共5页Proceedings of the CSEE

基　　金：国家自然科学基金项目(50477035)。~~

摘　　要：由于模型参数的近似处理和量测误差的存在,电力系统仿真模型参数的数值具有不确定性,特引入区间分析方法来处理电力系统仿真计算中的不确定性问题,并采用区间数来描述模型参数的不确定性,将方程变量取为区间变量。这样,计及不确定性的电力系统时域仿真计算变成了对区间微分方程组的求解,需要采用区间积分方法。文中采用区间泰勒级数法进行区间微分方程组的求解,提出和实现了计及不确定性的电力系统时域仿真的区间方法。该方法只需一次仿真计算,就可以严格分析单个或多个模型参数的不确定性对仿真结果的影响,相比于另一种进行不确定性分析的蒙特卡罗方法,具有计算时间节省的优点。采用WSCC3机9节点算例系统的计算结果与传统时域仿真的点值法和蒙特卡罗方法的结果比较,也验证了方法的有效性和应用价值。Due to the approximation and measurement errors to model parameters, there is uncertainty in the parameter value of power system simulation model. In order to deal with the uncertainty problem in power system simulation, interval analysis method is introduced in this paper. The uncertainty of model parameters is described by intervals and each variable in equations is replaced with interval variable. Thus, time domain simulation under uncertainty is transformed to the solving of interval differential equations, which needs a certain interval integral method. In this paper, interval Taylor series expansion method is proposed to solve interval differential equations and power system time domain simulation under uncertainty based on interval method is presented. This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation. It is computationally very fast compared with Monte Carlo method which is another technique for uncertainty analysis. The proposed method has been tested on WSCC 3-unit 9-bus system. The results demonstrated the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.

关 键 词：电力系统 暂态稳定 时域仿真 区间算法 泰勒级数法 

分 类 号：TM74[电气工程—电力系统及自动化]