采用动态多维阶数控制的暂态稳定计算方法

Transient Stability Calculation Method Using Dynamic Multi-dimension Order Control

泰勒(Taylor)级数法暂态稳定计算中阶数的选取对提高计算效率有重要意义。在对常微分方程组数值求解方法进行分析的基础上,提出了暂态稳定计算中动态多维阶数控制的概念。在计算暂态稳定轨迹的过程中,根据各个状态变量的不同动态特性和计算精度约束,对时间常数不同的环节采用不同的阶数。基于该概念,实现了采用动态多维阶数控制的高阶Taylor级数暂态稳定计算方法,并对其有效性和计算精度进行了证明。算例分析结果表明,该方法有效提高了高阶Taylor级数法暂态稳定计算的解算效率,具有实用价值。

Order selection for transient stability simulation using higher order Taylor series expansions is significant for computation efficiency. Through the analysis of numerical method for solving differential equations, a concept of dynamic multi-dimension order control applied in transient stability calculation is proposed--when computing the system trajectories, the orders of the state variables are selected dynamically and separately according to the precision. Based on this concept, the method of dynamic multi-dimension order control in Taylor series expansion technique for transient stability analysis is presented. The validity and precision of this method is testified in the practice of the Transient Stability analysis. The numerical simulation results indicate that this method improves the calculation efficiency and has practical value in Transient Stability analysis and simulation for power systems.