The harmonic analysis method based on discrete Fourier transform usually adopts the mode of windowing and interpolation to reduce the influence of frequency spectrum leakage and fence effect. For the frequency spectrum interference from harmonics

inter-harmonics and negative frequency components to the harmonics of concern

a high precision harmonic and inter-harmonic analysis method based on Dolph-Chebyshev windows is proposed. The signal is truncated by Dolph-Chebyshev windows

and the frequency

amplitude and phase are solved through phase rotation and odd point interpolation

which significantly inhibits spectrum leakage. The classical harmonic signal and power harmonic signal are analyzed

and the results show that the proposed method has higher precision on harmonic and inter-harmonic measurement

as well as a certain anti-noise ability. This work is supported by National Natural Science Foundation of China (No. 51207130)

National High Technology Research and Development Program of China (863 Program) (No. 2012AA050208)

Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP) of China (No. 20130184110002)

and Fundamental Research Funds for the Central Universities (No. 2682013CX015).