引用本文:王雪,雷胜华.改进埃特金插值理论在智能变电站中的应用[J].电力系统保护与控制,2015,43(15):73-78.
WANG Xue,LEI Shenghua.Data synchronization based on improved Aitken interpolation in intelligent substation[J].Power System Protection and Control,2015,43(15):73-78
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改进埃特金插值理论在智能变电站中的应用
王雪, 雷胜华
华北电力大学新能源电力系统国家重点实验室,河北 保定 071003
摘要:
分析了电子式互感器数据同步采样方面的问题,指出了二次插值理论和三次样条插值理论同步算法的不足。只有当数据采样频率较高时,才能使二次插值误差精度得到明显提高。三次样条插值的边界问题使计算过程变得复杂、计算量显著增大。提出了一种基于改进的三阶埃特金插值理论的同步算法,并对该算法的误差进行了理论分析和仿真。仿真验证结果与理论分析基本吻合。不同运行状态下,基波和各次谐波幅值及相角误差精度均满足IEC60044-8标准规定。改进后的三阶埃特金插值计算量小、精度高,在微机测量装置中易于实现,适于实际应用。
关键词:  智能变电站  电子式互感器  采样同步  埃特金插值  误差分析
DOI:10.7667/j.issn.1674-3415.2015.15.012
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Data synchronization based on improved Aitken interpolation in intelligent substation
WANG Xue, LEI Shenghua
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Baoding 071003, China
Abstract:
The problem of synchronous data acquisition in the electronic transformer is analyzed. Meanwhile, the deficiencies of the synchronous data acquisition of the quadratic interpolation and cubic spline interpolation are pointed out. The accuracy of error is clearly insufficient in the quadratic interpolation with low sampling frequency. However, the boundary conditions of cubic spline interpolation significantly increase the amount of computation. The synchronous data acquisition based on the advanced third-order Aitken interpolation theory is put forward, and the error is theoretically analyzed and simulated. The result of simulation is matched with the theoretical analysis. Under the various atmospheres, the fundamental and the harmonic amplitude and phase angle’s error follows the standard of IEC60044-8. The advanced Aitken interpolation with higher precision and less simulation is easy to implement in the microcomputer measurement device, adapted to practical applications.
Key words:  digital substation  electronic transformer  sampling synchronization  Aitken interpolation  error analysis
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