中国电机工程学报2024，Vol.44Issue(2)：517-534,中插7,19.DOI:10.13334/j.0258-8013.pcsee.221068
并网型直流微电网的非线性降阶建模及其估计吸引域的优化计算
Nonlinear Modeling of Grid-connected DC Microgrid and Optimization of Estimated Region of Attraction
摘要
Abstract
Due to the high dimensions,strong nonlinearity,and high randomness of the"dual high"power system,existing modeling,and stability analysis methods are limiting in scale,difficult to solve,and low in accuracy.This paper proposes an analytical framework for"dual high"power systems that includes nonlinear reduced-order modeling and domain of attraction optimization calculation estimation.First,the block-decoupling-order-reduced model of grid-connected DC microgrid is established based on the quadratic error model.And then,the system is completely transformed into the form of first-order quadratic differential equations.Secondly,an optimized calculation method is presented to contrast the optimal estimated region of attraction(OEROA),where the Kronecker product property is utilized in conjunction with the idea of constructing an optimization model using auxiliary variables based on Lyapunov's theory.Finally,a microgrid system is taken as an example under distributed photovoltaic cloud cover and continuous power load disturbance.Compared with Lyapunov's method based on the LaSalle theorem,and the T-S fuzzy model method,it is proven that the estimated attraction domain constructed by the proposed method has a lower conservatism,and the proposed analysis framework is valid.关键词
并网型直流微电网/非线性降阶建模/优化的估计吸引域/二次状态偏差模型/分块/解耦Key words
grid-connected DC microgrid/nonlinear reduced order modeling/optimal estimated region of attraction(OEROA)/quadratic state bias model/block modeling/decoupling modeling分类
信息技术与安全科学引用本文复制引用
孙圣欣,汤晨煜,解大,古丽扎提·海拉提,顾承红,张延迟,王西田..并网型直流微电网的非线性降阶建模及其估计吸引域的优化计算[J].中国电机工程学报,2024,44(2):517-534,中插7,19.基金项目
国家自然科学基金项目(52077137,51677114). Project Supported by National Natural Science Foundation of China(52077137,51677114). （52077137,51677114）
