摘要
随着可再生能源的快速发展,一些风电和光伏场站出现了困扰运行人员的振荡现象。2015年7月,哈密地区风电场出现的次同步振荡甚至导致火电机组跳闸。为研究此类振荡,该文首先建立三相功率元件并网系统的动力学模型,并提出新的复变动力学分析方法。引入矩阵特征曲线与广义导数的概念,然后推导得出复变动力系统的李雅普诺夫稳定与轨道稳定条件。详细研究三相功率元件并网系统的动力学模型,发现存在两种基本类型的霍普夫分叉。提出振荡现象来源于动力系统的周期解,它在静止坐标系中具有调频振荡的特征。最后通过数值仿真和哈密风电场录波数据分析,验证该文研究结论的正确性。
With the rapid development of renewable energy, some wind farms and photovoltaic plants began to be puzzled by some irregular oscillations. In July 2015, some thermal power units were even tripped because of the messy subsynchronous oscillations originated from the wind farms in Hami. In order to study such oscillations, the dynamical model of the three-phase grid-connected power component （TGPC） was established first. And a novel method based on complex dynamics （CD） analysis was proposed in this paper. Two new concepts were introduced： one is the characteristic curve of a matrix, the other is generalized derivative in complex domain. Then the Lyapunov stability and Poincare stability were obtained for the movement of complex dynamical system. A thorough analysis was performed on the TGPC model, and two fundamental types of Hopf bifurcation were found. It was proposed that the oscillation stems from the periodic solution of the dynamical system, which appears as frequency- modulated oscillation in stationary frame. Finally the proposed conclusions were verified by digital simulations as well as investigation on the recorded data of wind farms in Hami.
作者
张剑云
ZHANG Jianyun(National Power Dispatching Center,Xicheng District,Beijing 100031,China)
出处
《中国电机工程学报》
EI
CSCD
北大核心
2018年第18期5447-5460,共14页
Proceedings of the CSEE
关键词
三相功率元件
动力学模型
复变动力学分析
特征曲线
李雅普诺夫稳定
轨道稳定
周期解
霍普夫分叉
调频振荡
three-phase power component
dynamical model
complex dynamics analysis
characteristic curve
Lyapunov stability
orbital stability
periodic solution
Hopf bifurcation
frequency-modulated oscillation
