综合能源网络统一建模及其应用(二):复频域增广模型与时、频模型对比  

Unified Modeling of Integrated Energy Networks in Time Domain and Its Applications(Ⅱ):Augmented model in Complex Frequency Domain and Comparison Between Time/Frequency Domain Models

作　　者：张苏涵 顾伟[1] 姚帅 陆帅[1] 周苏洋 吴志[1] ZHANG Suhan;GU Wei;YAO Shuai;LU Shuai;ZHOU Suyang;WU Zhi(Department of Electrical Engineering,Southeast University,Nanjing 210000,Jiangsu Province,China)

机构地区：[1]东南大学电气工程学院,江苏省南京市210000

出　　处：《中国电机工程学报》2022年第16期5798-5810,共13页Proceedings of the CSEE

基　　金：国家自然科学基金(重点项目)(51936003);国家重点研发计划项目(2020YFE0200400);江苏省自然科学基金项目(BK20200013)。

摘　　要：综合能源网络建模作为多能网络分析的基础性研究,已分别在时域、频域形成统一的数学模型与计算方法。为分析各模型在不同场景下的应用效果,通过理论分析和数值仿真对各模型展开对比。以广义电路理论为基础,推导初始条件分量在复频域的解析形式,构建复频域增广模型。以时域模型、复频域模型和频域模型为研究对象,从模型的数学方程、统一形式、解析方法、初始/边界条件处理、建模精度和复杂度等方面进行理论对比,并通过不同场景的仿真验证分析结论。算例结果表明,复频域模型的求解方式取决于初始/边界条件形式,频域模型和时域模型的求解方式则与初始/边界条件形式无关。时域、频域模型的建模精度与复杂度分别取决于差分时空步长与初边值条件近似误差;时域模型适合于长网络仿真,频域模型适合于长过程仿真。As the basic research of multi-energy network analysis,the unified modeling and calculation methods have been proposed in time and frequency domain.To evaluate the application effects of each model in various scenarios,this paper analyzed different models through theoretical analysis and numerical simulation.The analytical form of the initial condition component in complex frequency domain was derived based on the generalized electric circuit theory,and the augmented model was then formulated.Taking the time domain model,the complex frequency domain model,and the frequency domain model as research objects,the theoretical comparison was constructed from the mathematical equations,unified forms,analytical method,initial/boundary conditions processing,modeling accuracy and complexity.Case studies indicate that the complex frequency domain model depends on the forms of initial/boundary conditions,while the frequency domain model and the time domain model are independent of the initial/boundary conditions.The accuracy and complexity of the time domain and the frequency domain models are determined by the differential steps and the approximate error of initial/boundary conditions,respectively.The time domain model is suitable for large-scale system simulation with long branches,and the frequency domain model is suitable for long process simulation.

关 键 词：综合能源网格 复频域增广模型 初始条件 边界条件 时频变换 

分 类 号：TM743[电气工程—电力系统及自动化]