A Novel Sinusoidal Frequency Measurement Method Based on Modulation of Sequence with Zero Initial Phase
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摘要: 高准确度的正弦信号频率测量技术有广泛的应用，如应用于系统信号的同步处理，系统的谐波和系统的阻抗测量.但在低频正弦信号频率测量方面，现有的频率测量方法普遍存在准确度不高和抗谐波噪声干扰性不强等问题.文中提出了一种主要由序列零初相位调制等方法构成的新型正弦信号频率测量方法，分析了序列零初相位调制的原理.新方法避开了输入序列任意初相位的影响，同时调制序列携带了数值较大的信号序列全相位差信息，可实现准确度较高的低频正弦信号频率测量，此外新方法还具有较强的抗谐波噪声干扰特性，将新方法具体应用于电力系统正弦频率的测量，显示出明显的优越性.通过数学计算、仿真实验及物理实验结果验证了新型正弦信号频率测量方法的正确性和可靠性.Abstract: High accuracy sinusoidal frequency measurement technologies have been utilized in a wide range, such as the system signal synchronization, the interconnection of harmonics and the system impedance measurement. The existing sinusoidal frequency measurement technologies have the limitation of low accuracy and weak anti-interference of harmonic for low-frequency sinusoidal signals. In this paper, a novel sinusoidal frequency measurement method based on modulation of sequence zero initial phase is proposed. The principle of this method is analyzed. The influence of arbitrary initial phase can be avoided by this method. Besides, the modulation sequence carries a large number of phase difference information. Thus, it can be used for low-frequency sinusoidal signals with high accuracy and strong anti-interference of harmonic characteristic. Mathematical calculation, simulation test and the physical experiment results also verify the correctness and effectiveness of the proposed method. Compared to existing technology, this new method has obvious advantage for electric power systems.
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图 1 正弦频率计算原理示意图
Fig. 1 Schematic diagram of the principle of sinusoidal frequency calculation
图 2 序列零初相位调制原理示意图
Fig. 2 A schematic diagram of the initial phase modulation of the sequence
图 3 调制序列初相位计算原理示意图
Fig. 3 The schematic diagram of the initial phase of the modulation sequence
图 5 数字陷波频域特性示意图
Fig. 5 Schematic diagram of frequency characteristics of digital filter
图 6 混频频率抑制特性示意图
Fig. 6 Diagram of mixing frequency component suppression characteristic
图 7 序列全相位差与初相位关系示意图
Fig. 7 A schematic diagram of the whole phase difference and the initial phase of the sequence
图 10 基波频率计算相对误差实验结果示意图 1
Fig. 10 The schematic diagram 1 of relative error of fundamental frequency calculation
图 11 基波频率计算相对误差实验结果示意图 2
Fig. 11 The schematic diagram 2 of relative error of fundamental frequency calculation
图 12 实际信号频率测量物理实验结果示意图
Fig. 12 The diagram of relative error of the actual signal frequency measurement results
图 13 实际电力信号频率测量实验结果示意图
Fig. 13 Schematic diagram of the actual power signal frequency measurement results
表 1 混频频率计算表
Table 1 Calculation of mixing frequency
频率 频率 $ \frac{1}{3}$分次 $\frac{1}{2}$分次 2次 3次 相减混频频率 0$\omega_{i}$ $\frac{2\omega_{i}}{3}$ $\frac{1\omega_{i}}{2}$ 1$\omega_{i}$ 2$\omega_{i}$ 相加混频频率 2$\omega_{i}$ $ \frac{4\omega_{i}}{3}$ $\frac{3\omega_{i}}{2}$ 3$\omega_{i}$ 4$\omega_{i}$ 
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表 2 新型正弦频率测量方法实验结果表
Table 2 Calculation of mixing frequency
新型正弦频率测量方法 计算值 相对误差 信号基波频率50 Hz 50.0000000061 1.22 × 10-10
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