伴随系统理论和正规形理论在电力系统暂态稳定中的应用  

A Method about Power System Transient Stability Based on the Theory of Adjoint Systems Joining the Theory Normal Form

作　　者：宋磐[1] 李啸骢[1] 

机构地区：[1]广西大学电气工程学院,广西南宁530004

出　　处：《电气开关》2008年第2期52-54,57,共4页Electric Switchgear

摘　　要：提出了一种基于伴随系统理论与正规形理论的计算多机电力系统临界切除点方法。对于一大类非线性自治动力系统,可以构造原系统的伴随系统,该伴随系统是一个梯度系统,原始系统的所有平衡点都是伴随系统的渐近稳定平衡点,并且每一稳定平衡点存在解析形式的Lyapunov函数。通过研究故障轨线在伴随系统中的势能变化,可求得一个沿故障中轨迹分部的不稳定平衡点的集合,进而采用切平面筛选法可以快速求解与故障中轨线相关的主导不稳定平衡点,然后通过正规形变换求得临界出口点。A method based on the theory of adjoint systems joining the theory normal form is presented to obtain the critical clearance time. For a nonlinear autonomous dynamic system , there is an adjoint system that is a gradient system. All equilibrium points of the nonlinear autonomous dynamic system are stable equilibrium points in its adjoint system. Studying the potential energy along the fault - on trajectory in the adjoint system, the controlling equilibrium point can be found accurate with this method. Then based on normal form theory , the time is the critical clearance time.

关 键 词：伴随系统 电力系统 主导不稳定平衡点 正规形变换 

分 类 号：TM712[电气工程—电力系统及自动化]