| 引用本文: | 李 新,程纯东,张淮清.基于实值Root-MUSIC和Prony算法的间谐波参数估计[J].电力自动化设备,2012,32(11): |
| LI Xin,CHENG Chundong,ZHANG Huaiqing.Interharmonic parameter estimation based on real-valued Root-MUSIC and Prony method[J].Electric Power Automation Equipment,2012,32(11): |
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| 摘要: |
| 提出一种实数形式的求根多重信号分类（Root-MUSIC）算法，其无需将实值转换为复频率，从而降低了计算复杂度。由Root-MUSIC多项式的根估计出信号频率，同时由这些根采用普罗尼（Prony）法中的最小二乘法估计出信号的幅值和相位。与传统先估计频率、再由其他算法估计幅值和相位的方法相比，所提方法减少了大量计算步骤。仿真结果表明，用所提方法估计的间谐波参数精度高，在存在噪声的情况下也能准确估计出谐波和间谐波频率、幅值和相位。 |
| 关键词: 现代谱估计方法 实值 求根多重信号分类法 间谐波 Prony 参数估计 计算 |
| DOI： |
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| 基金项目:中央高校基本科研业务费资助项目（CDJZR12150025） |
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| Interharmonic parameter estimation based on real-valued Root-MUSIC and Prony method |
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LI Xin, CHENG Chundong, ZHANG Huaiqing
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State Key Laboratory of Power Transmission Equipment & System Security and New Technology，Chongqing University，Chongqing 400044，China
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| Abstract: |
| A Root-MUSIC（Root Multiple Signal Classification） algorithm in real form is proposed，which avoids the transformation of real value into complex frequency to reduce the computational complexity. The signal frequencies are estimated from the roots of Root-MUSIC polynomial，and the amplitudes and phases of signal are estimated at the same time based on the least square method of Prony method. Since the traditional methods estimate the frequencies first and then estimate the amplitudes and phases by other algorithms，the proposed method cuts down the calculation steps greatly. Simulative results show that，the proposed method has high accuracy and can accurately estimate the frequency，amplitude and phase under noisy conditions. |
| Key words: modern spectral estimation method real-value Root-MUSIC interharmonic Prony parameter estimation calculations |
