基于拟哈密顿理论的随机电力系统暂态稳定性分析

发布时间：2018-06-04 15:00

本文选题：拟哈密顿系统 + 随机微分方程　；参考：《电力系统自动化》2016年19期

【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。
[Abstract]:Monte Carlo method needs a large amount of computation to analyze the stochastic stability, and it is difficult to take into account the large amount of uncertainty in the stochastic process at the same time. Based on the stochastic averaging method for quasi-Hamiltonian systems, a stochastic power system transient stability analysis method is proposed. Firstly, based on the extended equal-area method, the disturbed multi-machine system is dynamically mapped into two groups of systems, and its stochastic differential equation model is established. The relative non-Hamiltonian factors are ignored and the safe region is determined by the Hamiltonian energy function. Then, considering the influence of random disturbance and damping, the stochastic average of equivalent quasi-Hamiltonian system is obtained, and the average diffusion equation which governs the transient energy transfer is obtained. Based on the diffusion theory, the removal time is analyzed according to the reliability of the system conditions. The influence of damping coefficient and excitation intensity on transient stability of stochastic power system. The effectiveness of this method is verified by 4-machine 2-block stochastic system.
【作者单位】：河海大学能源与电气学院;南瑞集团公司(国网电力科学研究院);智能电网保护和运行控制国家重点实验室;
【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)~~
【分类号】：TM712

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