中文摘要：

根据感应加热线圈变压器串联等效电路模型,对感应加热线圈内径大小与感应加热效果的关系进行了理论分析,通过有限元建模计算不同内径下的感应加热效果的数据,采用多项式拟合法处理数据得到最佳拟合多项式,反映数据之间整体的变化规律。结果表明：心表温差、功率与内径大小之间呈现递减趋势,加热时间与内径大小之间呈现递增趋势。依据最佳拟合多项式建立内径优化模型,利用遗传算法求解优化模型,得到内径最优值为49.15 mm,该最优值为感应加热线圈优化设计提供理论依据。

英文摘要：

The relationship between the size of inner diameter of induction heating coil and induction heating result was analyzed based on the transformer series equivalent circuit model of induction heating coil, the data of induction heating result under different inner diameters were calculated by using finite element model, they were processed by using polynomial fitting method to get the best fit polynomial, the change law of the data was reflected. The result shows that the relationships between the temperature difference between center and surface, power and the size of inner diameter present a decreasing trend, the relationship between the heating time and the size of inner diameter presents a increasing trend. The inner diameter optimization model was established based on the best fit polynomial, the optimization model was solved by using genetic algorithms, the optimal solution of inner diameter is 49. 15mm. it nrovides a theoretical basis for induction heating coil optimized design.