基于改进Prony的动态宽频测量算法  

Dynamic Wide-frequency Measurement Algorithm Based on Improved Prony

作　　者：刘灏 李进生 毕天姝 许苏迪 LIU Hao;LI Jinsheng;BI Tianshu;XU Sudi(State Key Laboratory of Alternate Electrical Power System With Renewable Energy Sources(North China Electric Power University),Changping District,Beijing 102206,China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),北京市昌平区102206

出　　处：《电网技术》2023年第5期2119-2127,共9页Power System Technology

基　　金：国家电网公司科技项目(SGJSDK00JBJS2200080)。

摘　　要：高比例可再生能源和高比例电力电子设备的大规模接入正成为新型电力系统的重要特征,电气量中出现大量谐波与间谐波分量,且动态行为明显,这对宽频测量提出了新的挑战。该文针对现有宽频测量算法在动态条件下测量精度不够的问题,分析了大量的现场录波数据,发现了宽频电气量在时间上的动态特性,分析了宽频测量算法的频率分辨率与动态带宽之间的关系问题;建立了基于多项式的动态宽频多分量拟合数学模型,以准确地描述表征宽频电气量的动态时变行为,提出了一种基于改进Prony的短时间窗动态宽频测量算法,并通过简化Prony约束条件减小了算法计算量;最后,进行了仿真测试、硬件测试和现场信号分析验证,结果表明所提方法可以实现动态条件下谐波与间谐波的准确测量。Large-scale access of high-proportion renewable energy and high-proportion power electronic equipment is becoming an important feature of the new generation of power systems.Subsequently,a large number of harmonics,inter-harmonics appear in the power system with obviously dynamic behavior,which poses a new challenge for wide-frequency measurements.In this paper,aiming at the problem that the measurement accuracy of existing wide-frequency measurement algorithms is not enough under dynamic conditions,a large number of field recording data are analyzed,the dynamic characteristics of wide-frequency electrical quantities in time are found,and the relationship between frequency resolution and dynamic bandwidth of wide-frequency measurement algorithms is analyzed.A dynamic wide-frequency multi-component fitting mathematical model based on polynomial is established to accurately describe the dynamic time-varying behavior of characterizing wide-frequency electrical quantities,and a short-term window dynamic wide-frequency measurement algorithm based on improved Prony is proposed,and the algorithm calculation amount is reduced by simplifying the Prony constraints.Finally,simulation tests,hardware tests and field signal analysis verification are carried out,and the results show that the proposed method can achieve accurate measurement of harmonics and interharmonics under dynamic conditions.

关 键 词：宽频测量算法 动态时变 多分量拟合 短时间窗 频率分辨率 

分 类 号：TM721[电气工程—电力系统及自动化]