The invention discloses a data reconfiguration and decompression method of a power
system based on
projection pursuit. A
signal can be sampled at frequency far below
Nyquist frequency on the basis of a compressive sensing theory. The method comprises the following steps of: firstly, constructing an over-complete atom dictionary to ensure that atoms in the atom dictionary are redundant; secondly, searching an optimally-matched atom, updating
signal residuals, and re-acquiring
sparse vector elements; and finally, acquiring a
sparse vector. According to the method, in an
iteration process at each time, the atom which is optimally matched with the
signal is selected from a sensing matrix to construct
sparse approximation, signal residual representation is obtained, and the signal is linearly represented by a certain number of atoms by certain iteration frequency. According to the conventional
data compression method, sampling and compression are required to be performed in sequence. According to the data reconfiguration and decompression method, the sampling and the compression are performed concurrently, and an original
electric energy quality signal can be well restored by low sampling frequency.