摘要
对具有弱耦合特性的非线性半光滑方程组提出了牛顿型分解算法,理论上证明了新算法的收敛性.新算法享有分解法节省计算量的优点,且推广了光滑方程于半光滑方程系统.根据电力系统有功与电压、无功和相角固有的弱耦合性质,运用新算法于电力系统的最优潮流(Optimal Power Flow-OPF)的求解,计算结果显示了算法的有效性.
Newton-type decomposition methods for solving semismooth nonlinear equations with the weak-coupling property are proposed.The theoretical convergence of new algorithms is estabilished.The new methods have the computing advantage of saving cost and extend decomposition methods of smooth equations to semismooth ones.Based on the inherent weak-coupling property between the real power and voltages,the reactive power and angles,the global decomposition method proposed to solve the optimal power flow（OPF） problem is used in this paper.Numerical results show the effect of the algorithm.
出处
《长沙理工大学学报（自然科学版）》
CAS
2007年第4期43-48,共6页
Journal of Changsha University of Science and Technology:Natural Science
基金
国家自然科学基金资助项目(60474070)
湖南省科技厅科研资助项目(S2006F223)
湖南省教育厅重点科研项目(07A001)
关键词
半光滑方程
牛顿法
分解算法
最优潮流
semismooth equation
Newton method
decomposition method
optimal power flow
