CAJ | 학술논문

提出一种电力谐波和间谐波参数实时高精度估计的新方法。首先利用对称窗函数的能量谱重心导出各电力谐波的频率和相位的估计算法；接着使用 Parseval 定理推导出精确估计电力谐波幅值的计算公式；进而分析了估计误差，估计误差仅与加权窗函数的能量分布特性有关，某次谐波的估计相对误差不大于窗函数在频域中旁瓣所占能量与总能量的比值。最后，仿真试验表明，所提方法与其他加窗快速傅里叶变换插值校正分析方法在计算耗时上有明显优势。模拟试验证明，所提方法很适合用于嵌入式系统和数字信号处理器，是一种很实用的算法。
제출일충전력해파화간해파삼수실시고정도고계적신방법。수선이용대칭창함수적능량보중심도출각전력해파적빈솔화상위적고계산법；접착사용 Parseval 정리추도출정학고계전력해파폭치적계산공식；진이분석료고계오차，고계오차부여가권창함수적능량분포특성유관，모차해파적고계상대오차불대우창함수재빈역중방판소점능량여총능량적비치。최후，방진시험표명，소제방법여기타가창쾌속부리협변환삽치교정분석방법재계산모시상유명현우세。모의시험증명，소제방법흔괄합용우감입식계통화수자신호처리기，시일충흔실용적산법。
A new real-time accurate estimating method for electric power harmonic and inter-harmonic parameters is proposed. First,the estimating algorithm of frequency and phase estimation for a harmonic or inter-harmonic is deduced using the discrete spectrum power center of symmetric windows,and then the amplitude calculation of electric power harmonic is inferred by using Parseval theorem.The estimation error is analyzed.The estimation error of an electric harmonic is only related to the energy distribution of the weighted window function in the frequency domain.The relative error of an electric harmonic is no greater than the proportion of the spectrum energy of the window function in the side lobe to the total.Finally,the simulation tests show that the method proposed has apparent advantages in computing time consumption over other windowed Fourier transform interpolation corrective analysis methods.The results of physical simulation tests show that the method proposed is very suitable for embedded systems and digital signal processors.