用于电力系统暂态稳定仿真的可变步长牛顿法

Newton Method With Variable Step Size for Power System Transient Stability Simulation

提出一种基于可变步长技术和不诚实牛顿法(very dishonest Newtonm ethod,VDHN)相结合的电力系统暂态稳定仿真算法。根据发电机的凸极效应,在迭代过程中将节点电压计算进行简化,使得雅可比矩阵在仿真过程中保持不变,以加快仿真速度。同时,利用隐式积分的局部截断误差理论,提出可变步长的VDHN时域仿真算法,并给出仿真过程中变步长的相关修正策略。结合2个算例系统进行仿真,从仿真速度、极限切除时间、可变步长和节点电压等方面,进一步验证可变步长VDHN算法的有效性和实用性。仿真结果表明,可变步长的VDHN算法,能够有效地提高系统的仿真速度,提高的幅度与故障持续时间有关。

A very dishonest Newton method （VDHN） with variable step size for power system transient stability simulation was presented. According to the saliency of generation, it simplified the voltage calculation during the iteration. The Jacobian matrices were kept constant over several time steps to speed up the calculations. With the local truncation error theory, the variable step size technology was applied to the VDHN method. For improving the simulation speed and precision more, the modified strategies for the variable step size were also provided. With two power systems, it verified the validity and practicability of the VDHN algorithm with the simulation speed, the critical clearing time, the variable step size and voltage value. The simulation results indicate that the proposed VDHN method with variable step size can improve the simulation speed, which is relevant to the fault duration.