In this paper, a new dual-winding dual-flux-concentrated magnetic-field modulated brushless compound-structure machine (DDMFM-BCSM) is proposed, combining the magnetic-field modulated brushless dual-rotor machine (MFM-BDRM) and permanent magnet synchronous machine (PMSM) into one. Proposed machine has two sets of windings in stator slots and spoke type PMs on dual rotors. Besides, there are flux barriers on inner rotor to improve the performance of MFM-BDRM part. Based on magnetic field modulation principle, main harmonics of the flux density in inner and outer air gap are calculated by analytical method and simulated by finite element method (FEM). The performance of proposed machine, including MFM-BDRM part, PMSM part and the whole DDMFM-BCSM, are analyzed. In order to analyze the influence of flux barriers on performance of DDMFM-BCSM, a DDMFM-BCSM without flux barriers is designed to compared their performance, including torque, loss and power factor.