2023年2月第19卷第1期系统仿真技术SystemSimulationTechnologyFeb.,2023Vol.19,No.1电磁暂态仿真程序中高斯噪声的注入方法研究周博英,唐可翾,沈沉*(清华大学电机工程与应用电子技术系,北京100084)摘要:“双高”电力系统的随机性使得对系统随机响应的仿真分析越发重要。电力系统随机扰动多为高斯型噪声,电磁暂态仿真程序中缺乏相应的仿真工具。因此,亟需找到电磁暂态仿真中正确注入高斯型随机噪声的方法。本文针对基础的电阻-电感(RL)电路研究如何在电磁暂态仿真中从系统微分方程注入高斯白噪声,并对噪声注入后系统的随机响应统计特征进行分析验证。针对微分代数(DAE)方程组,为保证复杂系统的噪声响应性质不随电磁暂态仿真步长的变化而变化,提出基于阶梯插值和线性插值的有色噪声注入方法,通过方差、自相关函数等统计特征对所提注入方法进行了正确性验证。关键词:高斯白噪声;随机响应;高斯有色噪声;插值;电磁暂态程序ResearchonInjectionMethodofGaussianNoiseinEMTPZHOUBoying,TANGKexuan,SHENChen∗(DepartmentofElectricalEngineering,TsinghuaUniversity,Beijing100084,China)Abstract:Therandomnessof“DoubleHigh”powersystemmakesthesimulationanalysisofsystemrandomresponsemoreimportant.MostpowersystemrandomdisturbancesareGaussiannoise,andtheElectro-Magnetictransientprogram(EMTP)lackscorrespondingsimulationtools.ItisurgenttofindacorrectmethodtoinjectGaussianrandomnoiseintoelectromagnetictransientsimulation.ThispaperstudieshowtoinjectGaussianwhitenoiseintobasicRLcircuit’sstatevariableinEMTPfromsystemdifferentialequation,andthestatisticalcharacteristicsofrandomresponseofthesystemafternoiseinjectionareanalyzedandverified.ForDAEsystems,toensurethenoiseresponsepropertiesofcomplexsystemsdonotchangewiththesimulationstepofEMTP,acolorednoiseinjectionmethodwithstepinterpolationandlinearinterpolationisproposed.Thecorrectnessofthismethodisverifiedbystatisticalcharacteristics,suchasvarianceandautocorrelationfunction.Keywords:Gaussianwhitenoise;randomresponse;Gaussiancolorednoise;interpolation;EMTP含高比例可再生能源发电和高比例电力电子设备(“双高”)正成为电力系统发展的重要趋势和关键特征。“双高”电力系统的动态特性...