相变平板简化热容热阻动态模型

Simplified heat capacity and thermal resistance(RC)dynamic model for planar phase change materials

建立了相变平板一维一阶(2R1C)、二阶(4R2C)与三阶(6R3C)热容热阻简化动态模型,利用遗传算法对简化模型的RC参数进行辨识。通过模拟,对不同简化模型的准确性与适用性进行了对比。结果表明,在保证准确性的前提下,4R2C简化模型所需辨识参数较少,适用性更好;与数值模型结果相比,采用4R2C简化模型在不同边界条件下模拟得到相变平板表面温度平均温差均小于0.3℃,通过左、右表面热流平均相对误差分别为10%与5%左右,表明4R2C简化模型在不同边界条件下仍具有很好的准确性与适用性。简化模型的计算时间小于数值模型计算时间的0.1%,计算效率明显提高。

A simplified dynamic heat transfer model with different heat capacity and thermal resistances（2 R1 C,4 R2 C and 6 R3 C）of planar phase change materials is proposed.The RC parameters of the simplified model are identified by genetic algorithm（GA）.The accuracy and applicability of different simplified models are analyzed.The results show that the identification parameters are less and the application is better for 4 R2 Cmodel with good accuracy.Compared with the results of numerical model,the average difference of the surface temperature is less than 0.3 ℃,and the average relative difference of the heat flow through the left and right surfaces are respectively about 10% and 5%.The accuracy and applicability of the simplified dynamic model is reasonable under the different boundary conditions.The computational efficiency of the simplified model is much higher,for the computational time of the simplified model is less than 0.1% of that needed by the numerical model.