高电压技术2018，Vol.44Issue(6)：1782-1790,9.DOI:10.13336/j.1003-6520.hve.20180529008
基于Gauss算法的高精度数字积分器
High-precision Digital Integrator Based on the Gauss Algorithm
摘要
Abstract
In order to make the Rogowski coil electronic current transformer more suitable for the project, the anti-interference ability for integral part is necessary. We researched the characteristics of different digital integration algorithm, analyzed the effects of sampling frequency, harmonics, the interference of noise, frequency fluctuations and other factors on the electronic transformer used for measurement and protection, and thereby designed a high-precision digital integrator. The critical and experimental results show that the composite error and ratio error of the Gauss Algorithm are smaller and the Gauss Algorithm possesses a good ability to resist the above disturbance factors in the process of calculating sine wave signal, compared with the trapezoidal and Simpson integration algorithm. Meanwhile, the electronic current transformer used for protection can reduce the sampling points and play the role in improving its high-speed tripping to reduce the amount of calculation. Simulation results show that the design of digital integrator's composite error is less than 0.13％ under the 13 times harmonic based on the Gauss algorithm. The composite error is less than 8×10-5％ when the frequency fluctuation range is ±0.5 Hz. The relative error is 0.077％ if there is 10％ white noise amplitude ratio.关键词
数字积分器/Gauss 算法/电子式电流互感器/复合误差/采样频率Key words
digital integrator/Gauss algorithm/electronic current transformer/composite error/sampling frequency引用本文复制引用
李振华,胡蔚中,闫苏红..基于Gauss算法的高精度数字积分器[J].高电压技术,2018,44(6):1782-1790,9.基金项目
国家自然科学基金(51507091) （51507091）
湖北省自然科学基金(2015CFB219). Project supported by National Natural Science Foundation of China(51507091), Natural Science Foundation of Hubei Province(2015CFB219). （2015CFB219）
