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Flux-switching hybrid excitation machine is an interesting brushless machine with magnets and excitation windings in the stator. Due to the unique structure and hybrid excitation, the assignment for electric excitation and permanent magnet excitation becomes a difficult issue. To explore a rapid design method, the nonlinear magnetic circuit analytical model of element machine has been developed, which introduces the technologies of critical regions subdivision and iterative solutions for magnetic permeability into the magnetic circuit model. Then the ampere-turns of electric excitation, the recommended value of initial magnetic bridge flux density, the influence of stator yoke thickness on magnet dimensions and field regulating coefficient are also included. Finally, the finite element analysis and the experimental results are presented. The proposed method is not only reasonable and effective but also efficient, which provides a reference for FSHM design and performance analysis.