分数阶电力系统潮流计算及电压分析

Power flow calculation and voltage analysis of fractional order power system

针对实际中的电感和电容都是分数阶元件,提出分数阶电力系统潮流计算及电压分析。首先,简单地描述分数阶微积分的发展历程、基本定义和工程应用。其次,在整数阶均匀传输线的分布式电路模型的基础上提出分数阶均匀传输线的分布式电路模型。然后,基于分数阶元件模型,利用Newton-Raphson法分析计算分数阶电力系统潮流,并通过连续潮流法计算分析分数阶PV曲线。最后,以IEEE 5节点系统和IEEE 30节点系统为例分析讨论分数阶电力系统潮流、分数阶PV曲线的特点。将分数阶潮流结果及分数阶PV曲线和与之对应的整数阶潮流结果及整数阶PV曲线进行比较。通过仿真结果可知,基于分数阶元件模型的电力系统分析不仅可以减少支路的无功损耗,还有助于提高电力系统电压稳定性。

Actual inductors and capacitors are both fractional order components.Fractional order power flow calculation and voltage analysis are proposed.First,it described the development process,basic definition,and engineering application of fractional calculus,briefly.Second,on the basis of the distributed circuit model of integer order uniform transmission line,a distributed circuit model of fractional order uniform transmission line was proposed.Next,based on fractional order component model,Newton-Raphson method was used to analyze and calculate fractional order power flow.Fractional order PV curve was calculated and analyzed by the continuation power flow method.Finally,the IEEE 5-node system and IEEE 30-node system were used as examples to analyze and discuss the characteristics of fractional order power flow and fractional order PV curves.The power flow calculation results and PV curves of fractional order were compared with integer order.According to the simulation results,power system analysis based on fractional order component model can reduce the reactive power loss of branches,and improve the voltage stability of power system.