同步相量和频率测量最优滤波器设计

发布时间：2019-01-02 20:59

【摘要】：针对基于有限长单位冲激响应(finite impulse response,FIR)数字滤波器的同步相量测量原理,首先从理论上推导基波、谐波和噪声引起的测量误差与滤波器频响特性的关系,由此定义滤波器多项技术指标,并通过建立总向量误差和频率测量误差与这些技术指标的函数关系,制定实现同步相量和频率测量的FIR数字滤波器组的最优设计准则。其次,针对离散傅里叶变换(discrete Fourier transform,DTF)类动态相量测量原理,推导这类算法的等效数字滤波器组,根据最优设计准则求解优化问题,进行滤波器自由参数最优选取,实现滤波器的最优设计,并给出长度分别为2、3和4周波的相量测量滤波器,以及4和5周波的频率测量滤波器组的设计结果。最后,将同长度最优设计算法与相关性能评估中表现优越的4周波TWLS算法进行性能比较,仿真实验表明,两者在静态和动态各类测试中,总体均表现出非常接近的优越性能,而在抗谐波性能方面,优化算法具有明显优势。
[Abstract]:Aiming at the principle of synchronous phasor measurement based on finite length unit impulse response (finite impulse response,FIR) digital filter, the relationship between the measurement error caused by fundamental wave, harmonic and noise and the frequency response characteristic of filter is deduced theoretically. In this paper, several technical indexes of filters are defined, and the optimal design criteria of FIR digital filter banks for synchronous phasor and frequency measurement are established by establishing the functional relationship between the total vector error and frequency measurement error and these technical indexes. Secondly, according to the principle of discrete Fourier transform (discrete Fourier transform,DTF) class dynamic phasor measurement, the equivalent digital filter bank of this kind of algorithm is deduced, and the optimization problem is solved according to the optimal design criterion, and the optimal selection of the free parameters of the filter is carried out. The optimal design of the filter is realized. The phasor measuring filter with the lengths of 2 / 3 and 4 Zhou Bo and the design results of the 4 and 5 Zhou Bo frequency measuring filter banks are given respectively. Finally, the performance of the optimal design algorithm of the same length is compared with that of the 4 Zhou Bo TWLS algorithm, which is superior in the related performance evaluation. The simulation results show that the performance of the two algorithms is very close to the superior performance in both static and dynamic tests. In the aspect of anti-harmonic performance, the optimization algorithm has obvious advantages.
【作者单位】：电力系统及发电设备控制和仿真国家重点实验室(清华大学);国网吉林省电力有限公司;
【分类号】：TN713

【相似文献】