Fractional-slot concentrated-winding (FSCW) permanent magnet synchronous machines (PMSMs) have several advantages when compared to other conventional topologies. Design of these motors often rely on the designer's experience, or numerical methods which are time inefficient. This makes them unsuitable for multi-objective optimization design procedure in which a huge design space is adopted, and which have been shown to be effective in finding optimum machine designs. This work introduces a generic multi-objective optimization design framework for a surface mounted (SM) FSCW-PMSM based on a general analytical model that considers various machine aspects such as its geometry, winding configuration, losses, iron temporal flux density levels and drive control. The design procedure is demonstrated to design a surface-mounted (SM) FSCW-PMSM motor with a wide constant power speed range of 5:1. Validation is carried out using Finite Element Analysis (FEA) with good agreement in results. INDEX TERMS Fractional-slot, permanent magnet synchronous machines, concentrated winding, multiobjective optimization design, motor optimization design, FSCW-PMSM.