基于相对增益矩阵和Prony技术的南方电网FACTS和HVDC之间交互影响分析

Analysis on Interaction Between FACTS Devices and HVDC Power Transmission System in China Southern Power Grid Based on Relative Gain Array and Prony Technology

高压直流输电(HVDC)及灵活交流输电(FACTS)装置因其优良特性被广泛应用于现代电网中,但是其实际应用时间较短,加之其控制器的复杂性,使得对大规模交直流混联电网中FACTS装置之间及FACTS装置与HVDC间的交互作用的研究不够成熟和完善。文中以定量分析南方电网中FACTS装置之间以及FACTS装置与HVDC系统间的交互作用大小为目标,建立了含FACTS装置和HVDC系统的多机电力系统的线性化模型,并详细阐述了引入不同FACTS装置及直流系统时,控制变量、输出变量的选择及对代数方程的处理。接着对南方电网进行等值,利用该线性化模型推导出等值系统的传递函数,利用RGA方法找出FACTS装置之间以及FACTS装置与HVDC系统间的交互作用的大小。最后通过大扰动下的Prony分析验证了RGA分析结果的正确性。

Due to their excellent performances high voltage direct current （HVDC） power transmission system and flexible AC transmission system （FACTS） devices are widely applied in modern power grids, however because of not enough long period of their actual application and the complexity of their control the research on the interaction between FACTS devices and HVDC transmission system as well as the interaction among FACTS devices in large-scale AC/DC hybrid power grid is still not mature and thorough. To quantitatively analyzing the extent of the interaction between FACTS devices and HVDC transmission system and the extent of the interaction among FACTS devices in China southern power grid, firstly a linearized model of multi-machine power grid containing FACTS devices and HVDC transmission system is built; secondly, when different FACTS devices and HVDC transmission system are introduced into, the selection of control variables and output variables and the treatment of algebraic equations are expounded; thirdly, the equivalence of China southern power grid is performed, and using the built linearized model the transfer functions of the equivalent system the extent of the interaction between FACTS devices and HVDC transmission system and the extent of the interaction among FACTS devices is solved by relative gain array （RGA）principle; finally, the correctness of analysis results obtained by linearized model and RGA principle are verified by Prony analysis of China southern power grid under large disturbance.