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This paper proposes an analytical method for efficiency optimization of a single-phase brushless DC (BLDC) motor, and also considers a statistical method additionally. The motor characteristics are investigated by using the analytical method such as a magnetic equivalent circuit, and they are verified through the FEA. Therefore, optimal efficiency can be deduced through the analytical method, considering design variables. Then, a statistical method is applied to complement errors of the analytical method. Finally, the validity of proposed methods is confirmed.