基于拟哈密顿理论的随机电力系统暂态稳定性分析  

Transient Stability Analysis of Stochastic Power System Based on Quasi-Hamiltonian System Theory

作　　者：周海强[1] 鞠平[1] 薛禹胜[2,3] 李洪宇[1] 

机构地区：[1]河海大学能源与电气学院,江苏省南京市211100 [2]南瑞集团公司(国网电力科学研究院),江苏省南京市211106 [3]智能电网保护和运行控制国家重点实验室,江苏省南京市211106

出　　处：《电力系统自动化》2016年第19期9-14,共6页Automation of Electric Power Systems

基　　金：国家重点基础研究发展计划(973计划)资助项目(2013CB228204);国家电网公司科技项目(SGJS0000DKJS1501031)~~

摘　　要：蒙特卡洛法分析随机稳定性所需的计算量大,且难以同时考虑随机过程中发生的大量不确定性。基于拟哈密顿系统随机平均方法,提出随机电力系统暂态稳定性分析法。首先,根据扩展等面积法,将受扰多机系统动态映射为两群系统,建立其随机微分方程模型。忽略相关的非哈密顿因素,按哈密顿能量函数确定其安全区域。然后,考虑随机扰动、阻尼等的影响,对等效拟哈密顿系统进行随机平均,求出支配暂态能量转移的平均扩散方程,并基于扩散理论,根据系统条件可靠性分析切除时间、阻尼系数及激励强度等对随机电力系统暂态稳定性的影响。通过4机2区随机系统验证了该方法的有效性。Transient stability analysis of stochastic system mainly depends on Monte Carlo simulations which demand vast calculations over numerous trials to ascertain the behavior of the system.The uncertainty problems are usually solved as deterministic problems with the dynamics of the stochastic procedure ignored.A stochastic transient stability analysis method is proposed based on the quasi-Hamiltonian system theory and stochastic averaging method.Firstly,the perturbed stochastic power system is dynamically mapped into a perturbed two-machine system according to the extended equal area criterion（EEAC）theory.The stochastic differential algebraic equations of the system are established and the transient energy of the corresponding Hamiltonian system is derived.The security region of the system is determined according to its Hamiltonian energy function.Then,the stochastic averaging method is applied to analyze the quasi-Hamiltonian system and the averaged system and averaged equations are obtained.The diffusion procedure of the transient energy of the power system is studied in accordance with the diffusion theory while the conditional reliability function is calculated by the Kolmogorov equation.The influences of fault type,perturbation amplitude,and fault clearing time on the transient stability can be quantitatively investigated.The stochastic averaging method for quasi-generalized Hamiltonian system is applied in a four-generator and twoarea system to verify its effectiveness.

关 键 词：拟哈密顿系统 随机微分方程 随机平均法 暂态能量函数 扩展等面积法 

分 类 号：TM712[电气工程—电力系统及自动化]