多机电力系统的拟哈密顿系统随机平均法  

Stochastic averaging method for quasi Hamiltonian system of multi-machine power systems

作　　者：李洪宇[1,2] 鞠平[1,2] 陈新琪[3] 孙维真 吴峰[1,2] 

机构地区：[1]河海大学能源与电气学院,南京211100 [2]河海大学可再生能源发电技术教育部工程研究中心,南京210098 [3]国网浙江省电力公司电力科学研究院,杭州310014 [4]浙江电力调度控制中心,杭州310007

出　　处：《中国科学：技术科学》2015年第7期766-772,共7页Scientia Sinica(Technologica)

基　　金：国家重点基础研究发展计划(批准号:2013CB228204);国家自然科学基金(批准号:51137002;51190102)资助项目

摘　　要：随着可再生能源发电的增加和电动汽车的接入,随机激励(功率波动)对电力系统的影响日益受到关注.随机激励作用于多机电力系统的动态问题,可视为对随机微分方程组分析的问题.由于多机电力系统的高维和非线性等因素,致使现有研究大都以蒙特卡洛法为主,还没有解析分析公式.而拟哈密顿系统下的随机平均法是一个很好的解析分析方法,但目前只针对单机无穷大系统进行了研究.本文将拟哈密顿系统随机平均法推广到多机电力系统情形,获得了随机激励下多机电力系统能量函数的一维扩散过程公式,并通过算例验证其有效性,为多机电力系统随机动力学特性研究提供了基础.With the integration of renewable power and electric vehicles into the power grid, the stochastic excitations, which can be regarded as stochastic power fluctuations in power system, are of concern. The dynamics of the multi-machine power system under stochastic excitations can be studied by using the stochastic differential equations（SDEs）. With the features of the high order and nonlinearity, the SDEs are usually studied by using Monte Carlo method instead of analytical method. The analytical method of stochastic averaging method is used to study the Hamiltonian system widely, and has been applied in the one–machine to infinity-bus system successfully. In this paper, the stochastic averaging method is employed to study the dynamics of the multi-machine power system, and the complicated stochastic dynamic process of the multi-machine power system under stochastic excitations is simplified to a one-dimensional diffusion process. The proposed approach performed in a four-machine power system, and its effectiveness is tested.

关 键 词：多机电力系统 随机激励 拟哈密顿系统 随机平均法 能量函数 一维扩散过程 

分 类 号：TM744[电气工程—电力系统及自动化]