A novel hybrid coordinates multiple decoupled phase-locked loop (HCMD-PLL) is presented to improve the performance of the PLL under nonideal grid conditions. Based on the Clark transform and the first-order low-pass filter, the complex coefficient filter is derived to analyze phase-locked loop. It is different from the phase-locked loop with a complex coefficient filter. On this basis, the multiple-complex-coefficient band-pass filter of HCMD-PLL is derived, and the equivalent transfer function of the decoupling of the fundamental positive sequence, negative sequence and harmonic components is obtained, and the magnitude and phase frequency responses are analyzed. The fundamental positive sequence component is extracted without phase shift and amplitude attenuation under the nonideal grid conditions, eliminating the effect of specific-order harmonics components because the amplitude is attenuated to zero. And the specific-order harmonic component can also be extracted precisely. The interaction from the various specific components is eliminated. The stability of the system is analyzed by the pole distribution of the closed-loop system. The stationary αβ coordinate system for PLL is adopted to suppress the change of the grid voltage. Simulation and experimental results verify the effectiveness of the HCMD-PLL. (Non-member) received the M.S. degree in power electronics and power drives from the school of Information and Electrical Engineering, China University of Mining and Technology in 2014 and is currently pursuing the Ph.D. degree in School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University. He has worked on multilevel converters, reactive power compensation and power electronic power transmission.Lifeng Guo (Non-member) received the M.S. degree in power electronics and power drives from the school of Information and Electrical Engineering, China University of Mining and Technology in 2013 and is presently working in China Ship Development and Design Center Shanghai Branch. He has worked on high power multilevel converters and vessel integrated power system.