摘要
推出基于模态级数法的电力系统动态方程3阶解析解,提出求解电力系统动态方程3阶偏导数的数值微分算法。分别在单机无穷大系统及4机2区域系统,应用2个指标定量对比1阶解析解、2阶解析解及3阶解析解在分析遭受大扰动电力系统动态特性的精确性;并应用prony算法检测数值积分曲线中3阶复合模式的存在。从而,验证采用该文推出的3阶解析解分析遭受大扰动时电力系统动态特性的有效性。
On the basis of modal series method, the third-order analytical solutions of power systems dynamical equation were deduced, and a numerical algorithm method to figure out the third-order partial derivatives was also presented. The accuracy of the linear solution, the second order analytical solution and the third order analytical solution for analyzing the system dynamics performance following large disturbance were compared quantitatively by using two indexes in terms of one machine infinite bus test system and four-generator two-area test system respectively. The third-order combination modes in the numerical integration curves were detected using the prony analysis. Therefore, the validity of the third-order analytical solutions was proved for analyzing the nonlinear dynamical performance of power systems following large disturbances.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2007年第28期12-18,共7页
Proceedings of the CSEE
关键词
模态级数法
电力系统
3阶解析解
大干扰
非线性动态特性
modal series method
power systems
thethird-order analytical solutions
large disturbances
nonlineardynamical performance
