用于简化微电网结构的微分几何广义同调方法

摘要

基于发电机功角同调的动态等值方法是目前大电网系统分析中常用的等值方法。针对具有线路短、电磁耦合程度高、非线性极强等特点的微电网系统,开展其局部网络的动态等值模型研究,对系统实时仿真与控制设计、安全稳定分析、系统重构和动态潮流分析计算等具有重要理论意义和实际应用价值。本文提出了基于微分几何的微电网系统的广义同调等值理论并分析其降阶数学本质,将原有的大电网功角同调拓展到微电网领域,并通过含有两台共母线并联电压型逆变器的微电网系统的建模仿真和物理实验,验证了广义同调的可行性和正确性。%Based on generator power angle coherent dynamic equivalents is now commonly used in large power systems analysis equivalent method.For a short circuit,a high degree of electromagnetic coupling,highly non-linear characteristics of the micro-grid system,to research its local network,the dynamic equivalent model for real-time simulation and control system design,security and stability analysis,system reconfiguration and dynamic calculation of the trend analysis has important theoretical significance and practical value.In this paper,based on differential geometry of the micro-grid system of generalized homology equivalence theory and mathematical analysis of its reduced-order nature of the original tune with a large power angle grid extended to micro-grid areas,and through the parallel bus with two of the inverse voltage the micro-inverter power system modeling and simulation and physical experiment to test the feasibility of the generalized coherent and correct.