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在积分小波变换的基础上 ,以选择的复值小波为例 ,分析了一种实时递推小波算法 ,详细推导了算法的实现过程 ,该算法大大减少了现有双向递推算法的计算量 ,可用于电力系统各领域故障信号的实时检测 ,并能推广实现其他小波函数的快速递推算法 .基于复值小波变换相位信息对奇异性的敏感 ,提出了利用复值小波快速递推算法的相位信息辅助幅值信息进行电力系统故障突变信号实时监测的方法 .并通过算例论证了这种复值小波和其实时递推算法检测故障的有效和实用性 .
On the basis of integral wavelet transform, a real-time recursive wavelet algorithm is analyzed with the selected complex-valued wavelet as an example, and the realization process of the algorithm is deduced in detail. The algorithm greatly reduces the computational complexity of the existing bidirectional recursive algorithm, Which can be used for real-time detection of fault signals in various fields of power system and can be used to implement fast recursive algorithm to realize other wavelet functions.Based on the sensitivity to singularity of phase information of complex-valued wavelet transform, the phase of complex recursive wavelet transform Information assisted amplitude information for power system fault abrupt signal real-time monitoring method.An example is given to demonstrate the effectiveness and practicability of the complex-valued wavelet and its real-time recursive algorithm to detect faults.