基于Gauss算法的高精度数字积分器  

High-precision Digital Integrator Based on the Gauss Algorithm

作　　者：李振华[1] 胡蔚中 闫苏红 LI Zhenhua;HU Weizhong;YAN Suhong(College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, Chin)

机构地区：[1]三峡大学电气与新能源学院

出　　处：《高电压技术》2018年第6期1782-1790,共9页High Voltage Engineering

基　　金：国家自然科学基金(51507091);湖北省自然科学基金(2015CFB219)~~

摘　　要：为使空心线圈电子式电流互感器更适应于工程现场,使其积分环节具备一定的抗干扰能力是必要的。为此研究了不同数字积分算法的特性,分析了采样频率、谐波、噪声干扰、频率波动等因素对积分环节的影响,在此基础上设计了一种高精度数字积分器。理论与仿真结果都表明：在计算正弦波信号时,相对于梯形与辛普森积分算法,Gauss算法的复合误差更小,具有较好的抵抗上述干扰因素的能力。同时,对于保护用电子式电流互感器可以降低采样点数,以减少运算量的方式起到提高速动性的作用。仿真实验表明：对基于Gauss算法设计的数字积分器,存在13次以下谐波源时,复合误差≤0.13%。频率波动范围±0.5 Hz时,复合误差〈8×10^（-5）%。存在幅值比10%的白噪声时,6.4 kHz采样频率下基波幅值比差为0.077%。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 characteristicsaz 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 

分 类 号：TM452[电气工程—电器]