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Instantaneous frequenc y tracking algorithm based on derivative

ZHANG Chao,TAN Jian-cheng(College of Electrical Engineering,Guangxi University,Nanning 530004,China)  
Frequency is an important parameter for power system operation and protection.A frequency tracking algorithm is presented for its fast and accurate measurement,which combines second derivative with linear approximation based on the sinusoidal characteristics of AC signal and supplements posteriori error processing.Lagrange Polynomial-Fitting technique is used to calculate the second derivative.An error compensation rate and a modifying factor are introduced to increase algorithm accuracy.The remainder of fitting polynomial is analyzed and the samples acquired in a half cycle data window are filtered by equal ratios theorem to enhance the robustness as well as the real time performance.Matlab simulation results show that the algorithm is suitable for instantaneous power system frequency tracking with higher accuracy and a certain suppression of second harmonic.
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