基于区间泰勒展开的不确定性潮流分析

Uncertain Power Flow Analysis Based on Interval Taylor Expansion

区间算法已经在电力系统不确定性潮流计算中得到了成功应用。然而,迭代法类的区间潮流计算方法由于将区间运算嵌入到了牛顿迭代过程中,使得区间潮流计算过程复杂、计算量大,为此提出基于区间泰勒展开的不确定性潮流计算方法。该方法在建立含区间变量潮流计算数学模型的基础上,利用区间泰勒展开将采用直角坐标系的区间潮流方程求解问题等价转化为三个确定性的代数方程组求解。算例测试结果表明了所提算法在计算精度上高于区间迭代法,与区间迭代法和蒙特卡洛法相比,可以获得良好的加速效果。

Interval arithmetic has been successfully applied to uncertain power flow analysis for power systems.However,interval power flow analysis methods based on the interval iterative method have embedded the interval computation into Newton iterative process,which makes complex calculation procedure and huge computational load.In this paper,the interval method based on interval Taylor expansion is proposed to solve the uncertain power flow problem.According to the established interval power flow mathematical model with interval variables,the solution of nonlinear algebraic equations with interval variables,which is defined in rectangular coordinate system,is equivalently transformed into three sets of certain equations by using interval Taylor expansion method.The test results show that the proposed method has higher computational accuracy than the interval iterative method.Compared with the interval iterative method and Monte Carlo simulation method,the proposed method can obtain a better acceleration effect.