基于波束空间求根MUSIC算法电力系统谐波检测

针对传统电力系统中谐波检测方法存在的精确度低、抗噪性差等问题，本文将波束空间求根MUSIC算法应用于电力系统谐波检测. 该算法以信号空间为模型，用盖氏圆检测出信号源数，利用波束空间将阵列接收的数据通过变换得到波束空间的数据，再将波束空间的数据分解为噪声和信号子空间，由该两个子空间的正交性构造多项式，通过求解此多项式，得到信号的频率估计值，最后由扩展PRONY方法计算得到信号的幅值. 仿真实验验证和实际数据分析表明该算法在电力系统谐波检测中是切实可行的. 

Detection of Power System Harmonic Based on Beamspace Root-MUSIC

Applied beamspace root-MUSIC, with signal spaces as the models, to do harmonic detection to overcome the drawbacks of the traditional methods. Firstly, Gerschgorin disk criterion was employed to detect the source number, then the data acceptable to the array was transformed to get the data of the beamspace, which was further decomposed to noise subspace and signal subspace. Next, a polynomial was constructed with the use of the orthogonality of these two subspaces. By solving this polynomial, the estimate frequency value of the signal was attained. Lastly, with the extension of the PRONY method, the amplitude of the signal was achieved. Simulation experiments and real data analysis show that this algorithm in power system harmonic detection is feasible.