平方根Kalman自适应滤波及其在OCT中的应用

为了满足自适应滤波的准确性和时变噪声鲁棒性的要求,将具有递推特性的Kalman滤波理论引入到自适应滤波中,针对Kalman自适应滤波可能出现的由于计算舍入误差所引起的发散和时变噪声统计问题,提出了具有时变噪声统计的平方根Kalman自适应滤波。目前,应用平方根Kalman自适应滤波的自适应光学电流互感器(OCT)经过了严格的检测,稳态精度达到0.2级,暂态情况下的非周期分量电流的最大峰值瞬时值误差小于±1%。自适应OCT已经在河北省保定市某变电站挂网运行25个月。

Square Root Kalman Adaptive Filter and Its Applications on OCT

In order to satisfy the accuracy of adaptive filter and the robustness against time-variable noise, a recursive Kalman filter is introduced into the adaptive filter. Furthermore, to eliminate the rounding error in the computation, an approach using the square root matrix decomposed and the noise statistical estimator is proposed to form a new noise statistical square root Kalman adaptive filter. The square root Kalman adaptive filter is applied to form adaptive optical current transducer (AOCT). The performance of AOCT is examined strictly by using the standard testing system authenticated by the state authority according to standard. The results indicate that under the steady state the measurement precision of the AOCT has already reached 0.2 class and under the transient state the maximum peak instantaneous alternating current component error of the AOCT has already reached 1 class. At present, the AOCT has been installed in a substation in Baoding city, Hebei province and has been working continuously for twenty five months.