Okunbor D,Djoleto W,Crow M．Transient stability analysis using symplectic integrators[J]．WSEAS Transactions on Mathematics,2004,3(3)：595-601．
[2]
Feng K．The calculus of generating functions and the formal energy for Hamiltonian algorithms[J]．Journal of Computational Mathematics,1998,16(6)：481-498．
[3]
Wei H,Sasaki H,Kubokawa J,et al．An interior point nonlinear programming for optimal power flow problems with a novel data structure[J]．IEEE Transactions on Power Systems,1998,13(3)：870-877．
[4]
Biegler L T,Nocedal J,Schmid C．A reduced Hessian method for large-scale constrained optimization[J]．SIAM J Optim,1995,5(2)：1-36．
[5]
Gan Deqiang,Thomas R J,Zimmerman R D．Stability-constrained optimal power flow[J]．IEEE Transactions on Power Systems,2000,15(2)：535-540．
[6]
袁越,久保川淳司,佐佐木博司,等．基于内点法的含暂态稳定约束的最优潮流计算[J]．电力系统自动化,2002,26(13)：13-18．Yuan Yue,Kubodawa Junji,Sasaki Hiroshi,et al．Interior point method based on optimal power flow with transient stability constraints[J]．Automation of Electric Power Systems,2002,26(13)：13-18(in Chinese)．
[7]
Yuan Y,Kubokawa J,Sasaki H．A solution of optimal power flow with multicontingency transient stability constraints[J]．IEEE Transactions on Power Systems,2003,18(3)：1094-1102．
[8]
韦化,阳育德,李啸骢．多预想故障暂态稳定约束最优潮流[J]．中国电机工程学报,2004,24(10)：91-96．Wei Hua,Yang Yude,Li Xiaocong．Optimal power flow with multi-contingencies transient stability constrained[J]．Proceeding of the CSEE,2004,24(10)：91-96(in Chinese)．
[9]
Jiang Q Y,Geng G C．A reduced-space interior point method for transient stability constrained optimal power flow[J]．IEEE Transactions on Power Systems,2010,25(3)：1232-1240．
[10]
潮铸,刘明波．基于2阶轨迹灵敏度的暂态稳定约束最优潮流计算[J]．电网技术,2011,35(7)：106-112．Chao Zhu,Liu Mingbo．Transient stability constrained optimal power flow calculation based on second-order trajectory sensitivity[J]．Power System Technology,2011,35(7)：106-112(in Chinese)．
[11]
Zarate-Minano R,Cutsem T V,Milano F,et al．Securing transient stability using time-domain simulations within an optimal power flow[J]．IEEE Transactions on Power Systems,2010,25(1)：243-253．
[12]
Zarate-Minano R,Fuerte-Esquivel C R,Zamora-Cárdenas E,et al．Selective transient stability-constrained optimal power flow using a SIME and trajectory sensitivity unified analysis[J]．Electric Power Systems Research,2014,109：32-44．
[13]
Xiaoping Tu,Louis A Dessaint,Huy Nguyen-Duc．Transient stability constrained optimal power flow using independent dynamic simulation[J]．IET Gener Transm Distrib,2013,7(3)：244-253．
[14]
吴艳娟,李林川．基于暂态能量裕度灵敏度计及暂态稳定约束的优化潮流计算[J]．电网技术,2005,29(15)：28-33．Wu Yanjuan,Li Linchuan．Transient stability constrained optimal power flow based on sensitivity of transient energy margin[J]．Power System Technology,2005,29(15)：28-33(in Chinese)．
[15]
冯康,秦孟兆．哈密尔顿系统的辛几何算法[M]．杭州：浙江科学技术出版社,2003：7-14．
[16]
Feng K．On difference schemes and symplectic geometry[C]//Proceedings of the 1984 Beijing Symposium on Differential Geometry and Differential Equations．Beijing：Science Press,1985：42-58．
[17]
卢强,梅生伟．面向21世纪的电力系统重大基础研究[J]．自然科学进展,2000,10(10)：870-876．Lu Qiang,Mei Shengwei．Important basic researches on power systems facing 21 century[J]．Natural Science Development,2000,10(10)：870-876(in Chinese)．
[18]
余德浩．有限元、自然边界元与辛几何算法[J]．高等数学研究,2001,4(4)：5-10．Yu Dehao．Finite element methods,natural boundary element method,and simplectic algorithms[J]．Studies in College Mathematics,2001,4(4)：5-10(in Chinese)．
Sauer P W,Pai M A．Power system dynamics and stability[M]．Upper Saddle River,NJ：Prentice-Hall,1998：13-48．
[24]
Vittal V,Michel A N,Fouad A A．Power system transient stability analysis：formulation as nearly Hamiltonian systems[J]．Circuits, Systems and Signal Processing,1984,3(1)：105-122．
[25]
Davis T A．Direct methods for sparse linear systems[M]．Philadelphia,PA：SIAM,2006：169-186．
