首页|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

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

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  • 国家科技期刊平台
  • NETL
  • NSTL
  • 万方数据
  • 维普
面对"双高"电力系统的高维度、高随机性和强非线性，现有的建模和稳定性分析方法受限于维度、难以求解且准确度低。针对此问题，该文提出一个面向"双高"电力系统，包含非线性降阶建模和估计吸引域优化计算的稳定性分析框架。首先，考虑分布式光伏和恒功率负载的地理环境因素，应用Pioncáre规范理论，将并网型直流微电网的二次状态偏差模型依次进行分块降维、解耦和降阶变换，建立一阶二次微分方程形式的非线性降阶模型。然后，基于李雅普诺夫稳定判据，结合构造含辅助变量的最优化模型思想，并利用克罗内克积性质，提出估计吸引域的优化计算方法，构建优化的估计吸引域(optimal estimated region of attraction，OEROA)。最后，以分布式光伏云层遮蔽和恒功率负载扰动下的微电网系统作为算例，与基于LaSalle定理的李雅普诺夫法、Takagi-Sugeno(T-S)模糊模型法对比，验证所提方法构建的估计吸引域具有更低的保守性，以及所提分析框架的有效性。
Nonlinear Modeling of Grid-connected DC Microgrid and Optimization of Estimated Region of Attraction
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.

grid-connected DC microgridnonlinear reduced order modelingoptimal estimated region of attraction(OEROA)quadratic state bias modelblock modelingdecoupling modeling

孙圣欣、汤晨煜、解大、古丽扎提·海拉提、顾承红、张延迟、王西田

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电力传输与功率变换控制教育部重点实验室(上海交通大学),上海市 闵行区 200240

上海第二工业大学,上海市 浦东新区 201209

巴斯大学,英国 巴斯 BA2 7AY

上海电机学院,上海市 闵行区 200240

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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

国家自然科学基金国家自然科学基金

5207713751677114

2024

10.13334/j.0258-8013.pcsee.221068

中国电机工程学报
中国电机工程学会

中国电机工程学报

CSTPCD北大核心
影响因子：2.712
ISSN：0258-8013
年,卷(期)：2024.44(2)
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