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This paper compares two types of three-dimensional (3-D) flux electrical machines with soft magnetic composite (SMC) cores, namely, claw-pole and transverse-flux machines. 3-D electromagnetic field analysis is conducted for the computation of some important parameters and optimization of the machine structures. An equivalent electric circuit is derived to calculate the machine performance. The analysis methods are validated by experimental results of a single-phase claw-pole permanent-magnet machine with an SMC core. Useful conclusions are drawn from the evaluation and comparison of two machines with SMC cores.